diff --git a/docs/html/cmsy10-42.png b/docs/html/cmsy10-42.png index bd31f1f8..6a82d3d1 100644 Binary files a/docs/html/cmsy10-42.png and b/docs/html/cmsy10-42.png differ diff --git a/docs/html/cmsy10-48.png b/docs/html/cmsy10-48.png index df31f928..f37fc27d 100644 Binary files a/docs/html/cmsy10-48.png and b/docs/html/cmsy10-48.png differ diff --git a/docs/html/cmsy10-49.png b/docs/html/cmsy10-49.png index cb292c09..80f90637 100644 Binary files a/docs/html/cmsy10-49.png and b/docs/html/cmsy10-49.png differ diff --git a/docs/html/index.html b/docs/html/index.html index 0cca7b4c..b92e1f8d 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -10,7 +10,7 @@ -

PSBLAS
User’s and Reference Guide
-

PSBLAS
User’s and Reference Guide
-

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diff --git a/docs/html/userhtmlli2.html b/docs/html/userhtmlli2.html index 78ee7ed1..c59a996e 100644 --- a/docs/html/userhtmlli2.html +++ b/docs/html/userhtmlli2.html @@ -176,11 +176,11 @@ class="cmti-10">MPI: The Complete Reference. Volume 1 - The MPI Core, sec -

[

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-

diff --git a/docs/html/userhtmlse2.html b/docs/html/userhtmlse2.html index 226a96ff..f61da603 100644 --- a/docs/html/userhtmlse2.html +++ b/docs/html/userhtmlse2.html @@ -27,7 +27,7 @@ based on the serial sparse BLAS, so that any extension made to the data structur of the serial kernels is available to the parallel version. The overall design and parallelization strategy have been influenced by the structure of the ScaLAPACK parallel library. The layered structure of the PSBLAS library is shown in figure 1; +href="#x4-3001r1">1; lower layers of the library indicate an encapsulation relationship with upper layers. The ongoing discussion focuses on the Fortran 2003 layer immediately below the application layer. The serial parts of the computation on each @@ -46,7 +46,7 @@ href="userhtmlse7.html#x68-1050007">7. + id="x4-3001r1"> @@ -58,7 +58,7 @@ src="psblas.png" alt="PIC" >


Figure 1: PSBLAS library components hierarchy.
+class="content">PSBLAS library components hierarchy.
diff --git a/docs/html/userhtmlse3.html b/docs/html/userhtmlse3.html index d6b907b1..75c521ee 100644 --- a/docs/html/userhtmlse3.html +++ b/docs/html/userhtmlse3.html @@ -22,11 +22,11 @@ href="userhtml.html#userhtmlsu7.html" >up]

interfaces. They include data structures for sparse matrices, communication descriptors and preconditioners.

All the data types and the basic subroutine interfaces related to descriptors and -sparse matrices are defined in the module psb_base_mod; this will have to be +sparse matrices are defined in the module psb_base_mod; this will have to be included by every user subroutine that makes use of the library. The preconditioners -are defined in the module psb_prec_mod +are defined in the module psb_prec_mod

Integer, real and complex data types are parametrized with a kind type defined in the library as follows:

@@ -35,17 +35,18 @@ class="cmbx-10">psb_spk_
Kind parameter for short precision real and complex data; - corresponds to a REAL declaration and is normally 4 bytes; + corresponds to a REAL declaration and is normally 4 bytes;
psb_dpk_
Kind parameter for long precision real and complex data; - corresponds to a DOUBLE PRECISION declaration and is normally 8 bytes; +class="cmtt-10"> PRECISION declaration and is normally 8 bytes;
psbpsb_epk_
Kind parameter for 8-bytes integer data, as is always used by the - sizeof methods; + sizeof methods;
psb

Figure 9 shows the layout of a generic 5 shows the layout of a generic psb_foo routine with respect to the PSBLAS-2.0 error handling policy. It is possible to see how, whenever an error condition is detected, the psb_set_erraction. The default is to print the error and terminate the program, but the user may choose to handle the error explicitly. -

- +

-

-

-

+

+
subroutine psb_foo(some args, info) 
subroutine psb_foo(some args, info) 
   ... 
   ... 
   if(error detected) then 
   if(error detected) then 
      info=errcode1 
      info=errcode1 
      call psb_errpush(’psb_foo’, errcode1) 
      call psb_errpush(’psb_foo’, errcode1) 
      goto 9999 
      goto 9999 
   end if 
   end if 
   ... 
   ... 
   call psb_bar(some args, info) 
   call psb_bar(some args, info) 
   if(info .ne. zero) then 
   if(info .ne. zero) then 
      info=errcode2 
      info=errcode2 
      call psb_errpush(’psb_foo’, errcode2) 
      call psb_errpush(’psb_foo’, errcode2) 
      goto 9999 
      goto 9999 
   end if 
   end if 
   ... 
   ... 
9999 continue 
9999 continue 
   if (err_act .eq. act_abort) then 
   if (err_act .eq. act_abort) then 
     call psb_error(icontxt) 
     call psb_error(icontxt) 
     return 
     return 
   else 
   else 
     return 
     return 
   end if 
   end if 
 
 
end subroutine psb_foo +class="cmbx-9">end subroutine psb_foo

Figure 9: Listing 5: The layout of a generic psb_foo routine with respect to PSBLAS-2.0 -error handling policy.
+error handling policy.
-

-

Figure 10 reports a sample error message generated by the PSBLAS-2.0 +

+

Figure 6 reports a sample error message generated by the PSBLAS-2.0 library. This error has been generated by the fact that the user has chosen the invalid “FOO” storage format to represent the sparse matrix. From this error message it is possible to see that the error has been detected inside @@ -339,20 +348,19 @@ the psb_cest subroutine called by psb_spasb ... by process 0 (i.e. the root process). -

- +

-

-

+

+

==========================================================  
Process: 0.  PSBLAS Error (4010) in subroutine: df_sample  
Error from call to subroutine mat dist @@ -368,16 +376,16 @@ process).  
==========================================================  
Aborting...
-

+


Figure 10: A sample PSBLAS-2.0 error message. Process 0 detected an error -condition inside the psb_cest subroutine
+>Listing 6: A sample PSBLAS-3.0 error message. Process 0 detected an error +condition inside the psb_cest subroutine
-

+
diff --git a/docs/html/userhtmlsu1.html b/docs/html/userhtmlsu1.html index 4e6f170e..502e961d 100644 --- a/docs/html/userhtmlsu1.html +++ b/docs/html/userhtmlsu1.html @@ -116,7 +116,7 @@ class="cmsy-10">|. + id="x6-4002r2"> @@ -128,7 +128,7 @@ src="points.png" alt="PIC" >

Figure 2: Point classfication.
+class="content">Point classfication.
diff --git a/docs/html/userhtmlsu10.html b/docs/html/userhtmlsu10.html index e1a66a1f..9dc53065 100644 --- a/docs/html/userhtmlsu10.html +++ b/docs/html/userhtmlsu10.html @@ -23,26 +23,41 @@ sum: src="userhtml1x.png" alt="y ← α x+ βy " class="math-display" >

- - - -

-call psb_geaxpby(alpha, x, beta, y, desc_a, info) -
-

+

call psb_geaxpby(alpha, x, beta, y, desc_a, info)

-

-

+


Table 1: Data types
+class="content">Data types
@@ -106,7 +121,7 @@ class="cmbx-10">required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +href="#x19-56001r1">1.
x
psb_T_vect_type containing numbers of type specified in Table 1. The +href="#x19-56001r1">1. The rank of x must be the same of y. @@ -141,7 +156,7 @@ class="cmbx-10">required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +href="#x19-56001r1">1.
y
psb_T_vect_type containing numbers of the type indicated in Table 1. +href="#x19-56001r1">1. The rank of y must be the same of x. @@ -206,7 +221,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of the type indicated in Table 1. +href="#x19-56001r1">1.
info
An integer value; 0 means no error has been detected.

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diff --git a/docs/html/userhtmlsu11.html b/docs/html/userhtmlsu11.html index dda5673c..c3401b00 100644 --- a/docs/html/userhtmlsu11.html +++ b/docs/html/userhtmlsu11.html @@ -10,7 +10,7 @@ -

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4.2 psb_gedot — Dot Product

-

This function computes dot product between two vectors

This function computes dot product between two vectors x and y.
If y are real vectors it computes dot-product as: src="userhtml2x.png" alt=" T dot ← x y " class="math-display" > -

Else if

Else if x and y are complex vectors then it computes dot-product as:

dot ← xHy
-

- - - -

-psb_gedot(x, y, desc_a, info [,global]) -
-

+

+

psb_gedot(x, y, desc_a, info [,global])

-

-

+


Table 2: Data types
+class="content">Data types
@@ -124,7 +134,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 2. The +href="#x20-57001r2">2. The rank of x must be the same of y. @@ -146,7 +156,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 2. The +href="#x20-57001r2">2. The rank of y must be the same of x. @@ -177,8 +187,11 @@ class="newline" />Type: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
Specified as: a logical scalar. Default: global=.true.
is the dot product of vectors x and y.
Scope: global unless the optional variable global=.false. has been +class="cmbx-10">global unless the optional variable global=.false. has been specified
Specified as: a number of the data type indicated in Table 2. +href="#x20-57001r2">2. @@ -210,7 +226,7 @@ class="cmbx-10">required
Intent: out.
An integer value; 0 means no error has been detected. -

Notes

  1. Notes entails a significant overhead. It may be necessary and/or advisable to compute multiple dot products at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: - +
       vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) 
       vres(2) = psb_gedot(x2,y2,desc_a,info,global=.false.) 
       vres(3) = psb_gedot(x3,y3,desc_a,info,global=.false.) 
       call psb_sum(ictxt,vres(1:3)) + id="x20-57004r1">    vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) 
        vres(2) = psb_gedot(x2,y2,desc_a,info,global=.false.) 
        vres(3) = psb_gedot(x3,y3,desc_a,info,global=.false.) 
        call psb_sum(ctxt,vres(1:3))
    -

    In this way the global communication, which for small sizes is a latency-bound +

    In this way the global communication, which for small sizes is a latency-bound operation, is invoked only once.

@@ -314,12 +254,12 @@ class="cmtt-10">(1:3)) -

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diff --git a/docs/html/userhtmlsu12.html b/docs/html/userhtmlsu12.html index 2c3cf7f8..dc6073b4 100644 --- a/docs/html/userhtmlsu12.html +++ b/docs/html/userhtmlsu12.html @@ -10,7 +10,7 @@ -

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4.3 psb_gedots — Generalized Dot Product

-

This subroutine computes a series of dot products among the columns of two dense +

This subroutine computes a series of dot products among the columns of two dense matrices x and y: @@ -27,32 +27,45 @@ class="cmmi-10">y: src="userhtml4x.png" alt=" T res(i) ← x(:,i) y(:,i) " class="math-display" > -

If the matrices are complex, then the usual convention applies, i.e. the conjugate +

If the matrices are complex, then the usual convention applies, i.e. the conjugate transpose of x is used. If x and y are of rank one, then res is a scalar, else it is a rank one array. +

call psb_gedots(res, x, y, desc_a, info) +

-
-call psb_gedots(res, x, y, desc_a, info) -
-

- - - -

-

+


Table 3: Data types
+class="content">Data types
@@ -121,7 +134,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 3. The +href="#x21-58001r3">3. The rank of x must be the same of y. @@ -143,7 +156,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 3. The +href="#x21-58001r3">3. The rank of y must be the same of x. @@ -179,7 +192,7 @@ class="newline" />Intent: out.
Specified as: a number or a rank-one array of the data type indicated in Table 2. +href="userhtmlsu11.html#x20-57001r2">2.
info
An integer value; 0 means no error has been detected.

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diff --git a/docs/html/userhtmlsu13.html b/docs/html/userhtmlsu13.html index 0cb73107..f6a2e0d1 100644 --- a/docs/html/userhtmlsu13.html +++ b/docs/html/userhtmlsu13.html @@ -10,7 +10,7 @@ -

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4.4 psb_normi — Infinity-Norm of Vector

-

This function computes the infinity-norm of a vector

This function computes the infinity-norm of a vector x.
If x is a real vector it computes infinity norm as: @@ -26,34 +26,54 @@ class="cmmi-10">x is a real vector it computes infinity norm as: amax ← maxi |xi| -

else if

else if x is a complex vector then it computes the infinity-norm as:

amax ← maxi (|re(xi)|+ |im(xi)|)
-

- - - -

-psb_geamax(x, desc_a, info [,global]) - 
psb_normi(x, desc_a, info [,global]) -
-

+

+

psb_geamax(x, desc_a, info [,global])
psb_normi(x, desc_a, info [,global])

-

-

+


Table 4: Data types
+class="content">Data types
@@ -126,7 +146,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 4. +href="#x22-59001r4">4.
descType: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
Specified as: a logical scalar. Default: global=.true.
Function value
is the infinity norm of vector x.
Scope: global unless the optional variable global=.false. has been +class="cmbx-10">global unless the optional variable global=.false. has been specified
Specified as: a long precision real number.
@@ -182,7 +208,7 @@ class="cmbx-10">required
Intent: out.
An integer value; 0 means no error has been detected. -

Notes @@ -192,89 +218,19 @@ class="cmbx-12">Notes class="enumerate" id="x22-59003x1">The computation of a global result requires a global communication, which entails a significant overhead. It may be necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the - runtime efficiency by using the following scheme: + runtime efficiency by using the following scheme:

   vres(1) = psb_geamax(x1,desc_a,info,global=.false.) 
   vres(2) = psb_geamax(x2,desc_a,info,global=.false.) 
   vres(3) = psb_geamax(x3,desc_a,info,global=.false.) 
   call psb_amx(ictxt,vres(1:3)) + id="x22-59004r1">    vres(1) = psb_geamax(x1,desc_a,info,global=.false.) 
    vres(2) = psb_geamax(x2,desc_a,info,global=.false.) 
    vres(3) = psb_geamax(x3,desc_a,info,global=.false.) 
    call psb_amx(ctxt,vres(1:3))
-

In this way the global communication, which for small sizes is a latency-bound +

In this way the global communication, which for small sizes is a latency-bound operation, is invoked only once. @@ -282,12 +238,12 @@ class="cmtt-10">(1:3)) -

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-

diff --git a/docs/html/userhtmlsu14.html b/docs/html/userhtmlsu14.html index 5b9f01c1..c755e3ea 100644 --- a/docs/html/userhtmlsu14.html +++ b/docs/html/userhtmlsu14.html @@ -10,7 +10,7 @@ -

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4.5 psb_geamaxs — Generalized Infinity Norm

-

This subroutine computes a series of infinity norms on the columns of a dense matrix +

This subroutine computes a series of infinity norms on the columns of a dense matrix x:

res(i) ← makx|x(k,i)|
-

- - - -

-call psb_geamaxs(res, x, desc_a, info) -
-

+

+

call psb_geamaxs(res, x, desc_a, info)

-

-

+


Table 5: Data types
+class="content">Data types
@@ -118,7 +127,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 5. +href="#x23-60001r5">5.
descAn integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu15.html b/docs/html/userhtmlsu15.html index 55c54a24..63582249 100644 --- a/docs/html/userhtmlsu15.html +++ b/docs/html/userhtmlsu15.html @@ -10,7 +10,7 @@ -

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4.6 psb_norm1 — 1-Norm of Vector

-

This function computes the 1-norm of a vector

This function computes the 1-norm of a vector x.
If x is a real vector it computes 1-norm as: @@ -26,35 +26,54 @@ class="cmmi-10">x is a real vector it computes 1-norm as: asum ← ∥xi∥ -

else if

else if x is a complex vector then it computes 1-norm as:

asum ← ∥re(x)∥ + ∥im (x)∥ 1 1
-

- - - -

-psb_geasum(x, desc_a, info [,global]) - 
psb_norm1(x, desc_a, info [,global]) -
-

+

+

psb_geasum(x, desc_a, info [,global]) psb_norm1(x, desc_a, info [,global])

-

-

+


Table 6: Data types
+class="content">Data types
@@ -127,7 +146,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 6. +href="#x24-61001r6">6.
descType: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
Specified as: a logical scalar. Default: global=.true.
Function value
is the 1-norm of vector x.
Scope: global unless the optional variable global=.false. has been +class="cmbx-10">global unless the optional variable global=.false. has been specified
Specified as: a long precision real number.
@@ -183,7 +208,7 @@ class="cmbx-10">required
Intent: out.
An integer value; 0 means no error has been detected. -

Notes @@ -193,89 +218,19 @@ class="cmbx-12">Notes class="enumerate" id="x24-61003x1">The computation of a global result requires a global communication, which entails a significant overhead. It may be necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the - runtime efficiency by using the following scheme: + runtime efficiency by using the following scheme:

   vres(1) = psb_geasum(x1,desc_a,info,global=.false.) 
   vres(2) = psb_geasum(x2,desc_a,info,global=.false.) 
   vres(3) = psb_geasum(x3,desc_a,info,global=.false.) 
   call psb_sum(ictxt,vres(1:3)) + id="x24-61004r1">    vres(1) = psb_geasum(x1,desc_a,info,global=.false.) 
    vres(2) = psb_geasum(x2,desc_a,info,global=.false.) 
    vres(3) = psb_geasum(x3,desc_a,info,global=.false.) 
    call psb_sum(ctxt,vres(1:3))
-

In this way the global communication, which for small sizes is a latency-bound +

In this way the global communication, which for small sizes is a latency-bound operation, is invoked only once. @@ -283,12 +238,12 @@ class="cmtt-10">(1:3)) -

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-

diff --git a/docs/html/userhtmlsu16.html b/docs/html/userhtmlsu16.html index d7792e50..d143cc0c 100644 --- a/docs/html/userhtmlsu16.html +++ b/docs/html/userhtmlsu16.html @@ -10,7 +10,7 @@ -

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4.7 psb_geasums — Generalized 1-Norm of Vector

-

This subroutine computes a series of 1-norms on the columns of a dense matrix +

This subroutine computes a series of 1-norms on the columns of a dense matrix x:

res(i) ← makx|x(k,i)|
-

This function computes the 1-norm of a vector

This function computes the 1-norm of a vector x.
If x is a real vector it computes 1-norm as: @@ -33,33 +33,42 @@ class="cmmi-10">x is a real vector it computes 1-norm as: res(i) ← ∥xi∥ -

else if

else if x is a complex vector then it computes 1-norm as:

res(i) ← ∥re(x )∥1 +∥im (x )∥1
-

- - - -

-call psb_geasums(res, x, desc_a, info) -
-

+

+

call psb_geasums(res, x, desc_a, info)

-

-

+


Table 7: Data types
+class="content">Data types
@@ -132,7 +141,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 7. +href="#x25-62001r7">7.
descAn integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu17.html b/docs/html/userhtmlsu17.html index 44716f08..51486714 100644 --- a/docs/html/userhtmlsu17.html +++ b/docs/html/userhtmlsu17.html @@ -10,7 +10,7 @@ -

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4.8 psb_norm2 — 2-Norm of Vector

-

This function computes the 2-norm of a vector

This function computes the 2-norm of a vector x.
If x is a real vector it computes 2-norm as: @@ -27,27 +27,27 @@ class="cmmi-10">x is a real vector it computes 2-norm as: src="userhtml13x.png" alt=" √ -T-- nrm2 ← x x " class="math-display" > -

else if

else if x is a complex vector then it computes 2-norm as:

√---- nrm2 ← xHx
-

+

-

-

+


Table 8: Data types
+class="content">Data types
- - - -
-psb_genrm2(x, desc_a, info [,global]) - 
psb_norm2(x, desc_a, info [,global]) -
-

+

psb_genrm2(x, desc_a, info [,global])
psb_norm2(x, desc_a, info [,global])

Type:
psb_T_vect_type containing numbers of type specified in Table 8. +href="#x26-63001r8">8.
descType: optional.
Intent: in.
Specified as: a logical scalar. Default: global=.true.
Specified as: a logical scalar. Default: global=.true.
Function Value
is the 2-norm of vector x.
Scope: global unless the optional variable global=.false. has been +class="cmbx-10">global unless the optional variable global=.false. has been specified
Type: required
An integer value; 0 means no error has been detected.

Notes

  1. The computation of a global result requires a global communication, which entails a significant overhead. It may be necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the - runtime efficiency by using the following scheme: + runtime efficiency by using the following scheme:
       vres(1) = psb_genrm2(x1,desc_a,info,global=.false.) 
       vres(2) = psb_genrm2(x2,desc_a,info,global=.false.) 
       vres(3) = psb_genrm2(x3,desc_a,info,global=.false.) 
       call psb_nrm2(ictxt,vres(1:3)) + id="x26-63004r1">    vres(1) = psb_genrm2(x1,desc_a,info,global=.false.) 
        vres(2) = psb_genrm2(x2,desc_a,info,global=.false.) 
        vres(3) = psb_genrm2(x3,desc_a,info,global=.false.) 
        call psb_nrm2(ctxt,vres(1:3))
    -

    In this way the global communication, which for small sizes is a latency-bound +

    In this way the global communication, which for small sizes is a latency-bound operation, is invoked only once.

@@ -286,12 +243,12 @@ class="cmtt-10">(1:3)) -

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-

diff --git a/docs/html/userhtmlsu18.html b/docs/html/userhtmlsu18.html index fa1be28a..d81022ec 100644 --- a/docs/html/userhtmlsu18.html +++ b/docs/html/userhtmlsu18.html @@ -10,7 +10,7 @@ -

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4.9 psb_genrm2s — Generalized 2-Norm of Vector

-

This subroutine computes a series of 2-norms on the columns of a dense matrix +

This subroutine computes a series of 2-norms on the columns of a dense matrix x:

res(i) ← ∥x(:,i)∥2
-

- - - -

-call psb_genrm2s(res, x, desc_a, info) -
-

+

+

call psb_genrm2s(res, x, desc_a, info)

-

-

+


Table 9: Data types
+class="content">Data types
@@ -118,7 +127,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 9. +href="#x27-64001r9">9.
descAn integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu19.html b/docs/html/userhtmlsu19.html index 8de063d6..8c693cef 100644 --- a/docs/html/userhtmlsu19.html +++ b/docs/html/userhtmlsu19.html @@ -10,7 +10,7 @@ -

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4.10 psb_norm1 — 1-Norm of Sparse Matrix

-

This function computes the 1-norm of a matrix

This function computes the 1-norm of a matrix A:

nrm1 ← ∥A ∥1
-

where: +

where:

A
A
-

-

+


Table 10: Data types
+class="content">Data types
@@ -86,11 +86,11 @@ class="content">Data types
-
+
psb_spnrm1(A, desc_a, info)  
psb_norm1(A, desc_a, info)
-

+

Type:
An integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu20.html b/docs/html/userhtmlsu20.html index 6b967d32..18a439f6 100644 --- a/docs/html/userhtmlsu20.html +++ b/docs/html/userhtmlsu20.html @@ -10,7 +10,7 @@ -

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4.11 psb_normi — Infinity Norm of Sparse Matrix

-

This function computes the infinity-norm of a matrix

This function computes the infinity-norm of a matrix A:

nrmi ← ∥A∥∞
-

where: +

where:

A
A
-

-

+


Table 11: Data types
+class="content">Data types
@@ -86,11 +86,11 @@ class="content">Data types
-
+
psb_spnrmi(A, desc_a, info)  
psb_normi(A, desc_a, info)
-

+

Type:
An integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu21.html b/docs/html/userhtmlsu21.html index 1473890e..68e07595 100644 --- a/docs/html/userhtmlsu21.html +++ b/docs/html/userhtmlsu21.html @@ -10,7 +10,7 @@ -

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4.12 psb_spmm — Sparse Matrix by Dense Matrix Product

-

This subroutine computes the Sparse Matrix by Dense Matrix Product: +

This subroutine computes the Sparse Matrix by Dense Matrix Product:
@@ -26,7 +26,7 @@ class="equation">
src="userhtml18x.png" alt="y ← αAx + βy " class="math-display" >(1)
-

+

@@ -34,7 +34,7 @@ class="equation">
src="userhtml19x.png" alt="y ← αAT x+ βy " class="math-display" >(2)
-

+

@@ -46,8 +46,8 @@ y ← αA x+ βy " class="math-display" >
(3)
-

-

where: +

+

where:

x
A
-

-

+


Table 12: Data types
+class="content">Data types
- - - -
-call psb_spmm(alpha, a, x, beta, y, desc_a, info) - 
call psb_spmm(alpha, a, x, beta, y,desc_a, info, & - 
             & trans, work) -
-

+

call psb_spmm(alpha, a, x, beta, y, desc_a, info)
call psb_spmm(alpha, a, x, beta, y,desc_a, info, trans, work)

Type:
required
Intent: in.
Specified as: a number of the data type indicated in Table 12. +href="#x30-67004r12">12.
a
psb_T_vect_type containing numbers of type specified in Table 12. The +href="#x30-67004r12">12. The rank of x must be the same of y. @@ -206,7 +252,7 @@ class="cmbx-10">required
Intent: in.
Specified as: a number of the data type indicated in Table 12. +href="#x30-67004r12">12.
y
psb_T_vect_type containing numbers of type specified in Table 12. The +href="#x30-67004r12">12. The rank of y must be the same of x. - - -
desc2 class="cmbx-10">trans = C
the operation is specified by equation 3
-

Scope:

Scope: global
Type: optional
Intent: inout.
Specified as: an array of rank one or two containing numbers of type specified in Table 12. +href="#x30-67004r12">12.

info
An integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu22.html b/docs/html/userhtmlsu22.html index bd1ad807..0bf67d0b 100644 --- a/docs/html/userhtmlsu22.html +++ b/docs/html/userhtmlsu22.html @@ -10,7 +10,7 @@ -

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4.13 psb_spsm — Triangular System Solve

-

This subroutine computes the Triangular System Solve: -

+

This subroutine computes the Triangular System Solve: +

y ← αT- 1x + βy @@ -35,7 +35,7 @@ y ← αDT -Hx + βy y ← αT- HDx + βy
-

where: +

where:

x
T D
is the scaling diagonal matrix.
- - - -
-call psb_spsm(alpha, t, x, beta, y, desc_a, info) - 
call psb_spsm(alpha, t, x, beta, y, desc_a, info,& - 
             & trans, unit, choice, diag, work) -
-

+

call psb_spsm(alpha, t, x, beta, y, desc_a, info)
call psb_spsm(alpha, t, x, beta, y, desc_a, info, trans, unit, choice, diag, work)

-

-

+


Table 13: Data types
+class="content">Data types
@@ -148,7 +205,7 @@ class="cmbx-10">required
Intent: in.
Specified as: a number of the data type indicated in Table 13. +href="#x31-68002r13">13.
t
psb_T_vect_type containing numbers of type specified in Table 13. The +href="#x31-68002r13">13. The rank of x must be the same of y. @@ -197,7 +254,7 @@ class="cmbx-10">required
Intent: in.
Specified as: a number of the data type indicated in Table 13. +href="#x31-68002r13">13.
y
psb_T_vect_type containing numbers of type specified in Table 13. The +href="#x31-68002r13">13. The rank of y must be the same of x. @@ -256,7 +313,7 @@ class="description">the operation is with transposed matrix. trans = ’C’
the operation is with conjugate transposed matrix.
-

Scope:

Scope: global
Type: optional
the operation is with left scaling unitd = ’R’

the operation is with right scaling.
-

Scope:

Scope: global
Type: optional
choice

specifies the update of overlap elements to be performed on exit:
psb_none_ +class="description">psb_none_
psb_sum_ +class="description">psb_sum_
psb_avg_ +class="description">psb_avg_
psb_square_root_
-

Scope: psb_square_root_

+

Scope: global
Type: optional
Intent: in.
Default: psb_avg_
Default: psb_avg_
Specified as: an integer variable. @@ -340,7 +397,7 @@ class="cmmi-10">diag(1) = 1(noscaling)
Specified as: a rank one array containing numbers of the type indicated in Table 13. +href="#x31-68002r13">13.

work
Intent: inout.
Specified as: an array of rank one or two containing numbers of type specified in Table 13. +href="#x31-68002r13">13.
info
An integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu23.html b/docs/html/userhtmlsu23.html index 720f7151..802708ad 100644 --- a/docs/html/userhtmlsu23.html +++ b/docs/html/userhtmlsu23.html @@ -10,7 +10,7 @@ -

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4.14 psb_gemlt — Entrywise Product

-

This function computes the entrywise product between two vectors

This function computes the entrywise product between two vectors x and y @@ -26,26 +26,34 @@ class="cmmi-10">y dot ← x(i)y(i). -

+

+

psb_gemlt(x, y, desc_a, info) +

-
-psb_gemlt(x, y, desc_a, info) -
-

- - - -

-

+


Table 14: Data types
+class="content">Data types
@@ -114,7 +122,7 @@ class="cmtt-10">_T_vect_type containing numbers of type specified in Table 2. +href="userhtmlsu11.html#x20-57001r2">2.
y
_T_vect_type containing numbers of type specified in Table 2. +href="userhtmlsu11.html#x20-57001r2">2.
desc_T_vect_type containing numbers of the type indicated in Table 14. +href="#x32-69001r14">14.
info
An integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu24.html b/docs/html/userhtmlsu24.html index bd88f8f7..0c02c1bd 100644 --- a/docs/html/userhtmlsu24.html +++ b/docs/html/userhtmlsu24.html @@ -10,7 +10,7 @@ -

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4.15 psb_gediv — Entrywise Division

-

This function computes the entrywise division between two vectors

This function computes the entrywise division between two vectors x and y @@ -26,26 +26,38 @@ class="cmmi-10">y ∕ ← x(i)∕y(i). -

+

+

psb_gediv(x, y, desc_a, info, [flag) +

-
-psb_gediv(x, y, desc_a, info, [flag) -
-

- - - -

-

+


Table 15: Data types
+class="content">Data types
@@ -114,7 +126,7 @@ class="cmtt-10">_T_vect_type containing numbers of type specified in Table 2. +href="userhtmlsu11.html#x20-57001r2">2.
y
_T_vect_type containing numbers of type specified in Table 2. +href="userhtmlsu11.html#x20-57001r2">2.
desclocal
Type: optional Intent: in.
Specified as: the logical value flag=.true. +class="newline" />Specified as: the logical value flag=.true.
On Return
_T_vect_type containing numbers of the type indicated in Table 14. +href="userhtmlsu23.html#x32-69001r14">14.
info
An integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu25.html b/docs/html/userhtmlsu25.html index 2e9a6410..428b562a 100644 --- a/docs/html/userhtmlsu25.html +++ b/docs/html/userhtmlsu25.html @@ -10,14 +10,14 @@ -

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4.16 psb_geinv — Entrywise Inversion

-

This function computes the entrywise inverse of a vector

This function computes the entrywise inverse of a vector x and puts it into y @@ -25,26 +25,38 @@ class="cmmi-10">y ∕ ← 1∕x(i). -

+

+

psb_geinv(x, y, desc_a, info, [flag) +

-
-psb_geinv(x, y, desc_a, info, [flag) -
-

- - - -

-

+


Table 16: Data types
+class="content">Data types
@@ -113,7 +125,7 @@ class="cmtt-10">_T_vect_type containing numbers of type specified in Table 2. +href="userhtmlsu11.html#x20-57001r2">2.
desclocal
Type: optional Intent: in.
Specified as: the logical value flag=.true. +class="newline" />Specified as: the logical value flag=.true.
On Return
_T_vect_type containing numbers of the type indicated in Table 16. +href="#x34-71001r16">16.
info
is a global dense submatrix.

@@ -78,15 +78,13 @@ class="hline">

Table 17: Data types
+class="content">Data types
- -

call psb_halodesc_a, info) 
)
call psb_halo, data) - -

Type:
psb_T_vect_type containing numbers of type specified in Table 17. +href="#x36-73001r17">17.
descglobal
Type: optional
Specified - as: an integer. Values:psb_comm_halo_,psb_comm_mov_, psb_comm_ext_, - default: psb_comm_halo_. Chooses the index list on which to base the data + as: an integer. Values:psb_comm_halo_,psb_comm_mov_, psb_comm_ext_, + default: psb_comm_halo_. Chooses the index list on which to base the data exchange.
Intent: inout.
Returned as: a rank one or two array containing numbers of type specified in Table 17. +href="#x36-73001r17">17. + + +
info
required
Intent: out.
An integer value that contains an error code.
-

+ id="x36-73002r3">
-

-

+

PIC


Figure 7: Sample discretization mesh.
-

-

Figure 3: Sample discretization mesh.

+

+

Usage Example Consider the discretization mesh depicted in fig. 7, partitioned +href="#x36-73002r3">3, partitioned among two processes as shown by the dashed line; the data distribution is such that each process will own 32 entries in the index space, with a halo made of 8 entries placed at local indices 33 through 40. If process 0 assigns an initial value of 1 to its entries in the x vector, and process 1 assigns a value of 2, then after -a call to psb_halo the contents of the local vectors will be the following: +a call to psb_halo the contents of the local vectors will be the following:

-

-

+

-

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-

diff --git a/docs/html/userhtmlsu27.html b/docs/html/userhtmlsu27.html index f0fe399b..6a7ce6d0 100644 --- a/docs/html/userhtmlsu27.html +++ b/docs/html/userhtmlsu27.html @@ -10,7 +10,7 @@ -

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5.2 psb_ovrl — Overlap Update

-

These subroutines applies an overlap operator to the input vector: +

These subroutines applies an overlap operator to the input vector:

x ← Qx
-

where: +

where:

x
T.
-

-

+


Table 18: Data types
+class="content">Data types
- -

call psb_ovrldesc_a, info) 
)
call psb_ovrlwork=work) - -

Type:
psb_T_vect_type containing numbers of type specified in Table 18. +href="#x37-74001r18">18.
descPaPT;
-

Scope:

Scope: global
Intent: in.
Intent: inout.
Specified as: a one dimensional array of the same type of x. - - -

On Return
+ + +
x
Intent: inout.
Specified as: an array of rank one or two containing numbers of type specified in Table 18. +href="#x37-74001r18">18.
info
required
Intent: out.
An integer value; 0 means no error has been detected.
-

Notes

  1. If there is no overlap in the data distribution associated with the + class="enumerate" id="x37-74003x1">If there is no overlap in the data distribution associated with the descriptor, no operations are performed;
  2. The operator The operator PT performs the reduction sum of overlap elements; it is a “prolongation” operator T that replicates overlap elements, accounting for the physical replication of data;
  3. The operator The operator Pa performs a scaling on the overlap elements by the amount of replication; thus, when combined with the reduction operator, it implements the average of replicated elements over all of their instances.
-

+ id="x37-74008r4">
-

-

+

PIC


Figure 8: Sample discretization mesh.
+>Figure 4: Sample discretization mesh.
-

-

+

Example of use Consider the discretization mesh depicted in fig. 8, partitioned +href="#x37-74008r4">4, partitioned among two processes as shown by the dashed lines, with an overlap of 1 extra layer with respect to the partition of fig. 7; the data distribution is such that +href="userhtmlsu26.html#x36-73002r3">3; the data distribution is such that each process will own 40 entries in the index space, with an overlap of 16 entries placed at local indices 25 through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries in the x vector, and process 1 assigns a value of 2, then after a -call to psb_ovrl with psb_avg_ and a call to psb_halo_ the contents of +call to psb_ovrl with psb_avg_ and a call to psb_halo_ the contents of the local vectors will be the following (showing a transition among the two subdomains)

-

-

+

-

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-

diff --git a/docs/html/userhtmlsu28.html b/docs/html/userhtmlsu28.html index 513f7e28..a638378d 100644 --- a/docs/html/userhtmlsu28.html +++ b/docs/html/userhtmlsu28.html @@ -10,7 +10,7 @@ -

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5.3 psb_gather — Gather Global Dense Matrix

-

These subroutines collect the portions of global dense matrix distributed over all +

These subroutines collect the portions of global dense matrix distributed over all process into one single array stored on one process.

glob-x ← collect(loc-xi)
-

where: +

where:

glob_is the collect function.
-

-

+


Table 19: Data types
+class="content">Data types
- -

call psb_gatherinfo, root) 
) +call psb_gather, root) - -

Type:
psb_T_vect_type indicated in Table 19. +href="#x38-75001r19">19.
descType: required
Intent: out.
Specified as: a rank one or two array with the ALLOCATABLE attribute. +class="newline" />Specified as: a rank one or two array with the ALLOCATABLE attribute.
info
An integer value; 0 means no error has been detected.

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-

diff --git a/docs/html/userhtmlsu29.html b/docs/html/userhtmlsu29.html index baeee944..d1fa300d 100644 --- a/docs/html/userhtmlsu29.html +++ b/docs/html/userhtmlsu29.html @@ -10,20 +10,20 @@ -

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5.4 psb_scatter — Scatter Global Dense Matrix

-

These subroutines scatters the portions of global dense matrix owned by a process to +

These subroutines scatters the portions of global dense matrix owned by a process to all the processes in the processes grid.

loc-xi ← scatter(glob-x)
-

where: +

where:

glob_is the scatter function.
-

-

+


Table 20: Data types
+class="content">Data types
- -

call psb_scatter, mold) - -

Type:
≤ root ≤ np - 1, default psb_root_, +class="cmsy-10">- 1, default psb_root_, i.e. process 0.
psb_T_vect_type containing numbers of the type indicated in Table 20. +href="#x39-76001r20">20. + + +
info
up]

-
+
call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts)  
call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag])  
call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]) @@ -234,7 +234,7 @@ class="cmtt-10">mg as well. The -
+
  interface  
     subroutine psb_parts(glob_index,mg,np,pv,nv)  
       integer, intent (in)  :: glob_index,np,mg diff --git a/docs/html/userhtmlsu31.html b/docs/html/userhtmlsu31.html index d666e2d5..10acb8e7 100644 --- a/docs/html/userhtmlsu31.html +++ b/docs/html/userhtmlsu31.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu34.html" >up]

-
+
call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla])  
call psb_cdins(nz,ja,desc,info[,jla,mask,lidx])
diff --git a/docs/html/userhtmlsu32.html b/docs/html/userhtmlsu32.html index 78ac9388..0b940b32 100644 --- a/docs/html/userhtmlsu32.html +++ b/docs/html/userhtmlsu32.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu35.html" >up]

-
+
call psb_cdasb(desc_a, info [, mold])

diff --git a/docs/html/userhtmlsu33.html b/docs/html/userhtmlsu33.html index ca2898fe..e47308b5 100644 --- a/docs/html/userhtmlsu33.html +++ b/docs/html/userhtmlsu33.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu36.html" >up]

-
+
call psb_cdcpy(desc_in, desc_out, info)

diff --git a/docs/html/userhtmlsu34.html b/docs/html/userhtmlsu34.html index ed9d8573..a0a98da4 100644 --- a/docs/html/userhtmlsu34.html +++ b/docs/html/userhtmlsu34.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu37.html" >up]

-
+
call psb_cdfree(desc_a, info)

diff --git a/docs/html/userhtmlsu35.html b/docs/html/userhtmlsu35.html index 414a315a..3d63fa93 100644 --- a/docs/html/userhtmlsu35.html +++ b/docs/html/userhtmlsu35.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu38.html" >up]

-
+
call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)

diff --git a/docs/html/userhtmlsu36.html b/docs/html/userhtmlsu36.html index 2d09e07a..98459066 100644 --- a/docs/html/userhtmlsu36.html +++ b/docs/html/userhtmlsu36.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu39.html" >up]

-
+
call psb_spall(a, desc_a, info, nnz)

diff --git a/docs/html/userhtmlsu37.html b/docs/html/userhtmlsu37.html index 85e282e3..6ae1ade0 100644 --- a/docs/html/userhtmlsu37.html +++ b/docs/html/userhtmlsu37.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu40.html" >up]

-
+
call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])  
call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local])
diff --git a/docs/html/userhtmlsu38.html b/docs/html/userhtmlsu38.html index d3f70743..b5c329f2 100644 --- a/docs/html/userhtmlsu38.html +++ b/docs/html/userhtmlsu38.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu41.html" >up]

-
+
call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)

diff --git a/docs/html/userhtmlsu39.html b/docs/html/userhtmlsu39.html index e767aef9..6ec178a5 100644 --- a/docs/html/userhtmlsu39.html +++ b/docs/html/userhtmlsu39.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu42.html" >up]

-
+
call psb_spfree(a, desc_a, info)

diff --git a/docs/html/userhtmlsu40.html b/docs/html/userhtmlsu40.html index 2e95eec1..db13a5d1 100644 --- a/docs/html/userhtmlsu40.html +++ b/docs/html/userhtmlsu40.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu43.html" >up]

-
+
call psb_sprn(a, decsc_a, info, clear)

diff --git a/docs/html/userhtmlsu41.html b/docs/html/userhtmlsu41.html index 46b2ba28..2523553e 100644 --- a/docs/html/userhtmlsu41.html +++ b/docs/html/userhtmlsu41.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu44.html" >up]

-
+
call psb_geall(x, desc_a, info, n, lb)

diff --git a/docs/html/userhtmlsu42.html b/docs/html/userhtmlsu42.html index 7f215524..7bb66c9d 100644 --- a/docs/html/userhtmlsu42.html +++ b/docs/html/userhtmlsu42.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu45.html" >up]

-
+
call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])

diff --git a/docs/html/userhtmlsu43.html b/docs/html/userhtmlsu43.html index 3befcce9..0ade53a5 100644 --- a/docs/html/userhtmlsu43.html +++ b/docs/html/userhtmlsu43.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu46.html" >up]

-
+
call psb_geasb(x, desc_a, info, mold)

diff --git a/docs/html/userhtmlsu44.html b/docs/html/userhtmlsu44.html index 90a8c1c7..66ca4928 100644 --- a/docs/html/userhtmlsu44.html +++ b/docs/html/userhtmlsu44.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu47.html" >up]

-
+
call psb_gefree(x, desc_a, info)

diff --git a/docs/html/userhtmlsu45.html b/docs/html/userhtmlsu45.html index 559a173a..8688f33b 100644 --- a/docs/html/userhtmlsu45.html +++ b/docs/html/userhtmlsu45.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu48.html" >up]

-
+
call psb_gelp(trans, iperm, x, info)

diff --git a/docs/html/userhtmlsu46.html b/docs/html/userhtmlsu46.html index 3d5b5a42..4d7d3a59 100644 --- a/docs/html/userhtmlsu46.html +++ b/docs/html/userhtmlsu46.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu49.html" >up]

-
+
call psb_glob_to_loc(x, y, desc_a, info, iact,owned)  
call psb_glob_to_loc(x, desc_a, info, iact,owned)
diff --git a/docs/html/userhtmlsu47.html b/docs/html/userhtmlsu47.html index 166f1bad..85f3a1e4 100644 --- a/docs/html/userhtmlsu47.html +++ b/docs/html/userhtmlsu47.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu50.html" >up]

-
+
call psb_loc_to_glob(x, y, desc_a, info, iact)  
call psb_loc_to_glob(x, desc_a, info, iact)
diff --git a/docs/html/userhtmlsu48.html b/docs/html/userhtmlsu48.html index 9ed049f8..84c0924c 100644 --- a/docs/html/userhtmlsu48.html +++ b/docs/html/userhtmlsu48.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu51.html" >up]

-
+
call psb_is_owned(x, desc_a)

diff --git a/docs/html/userhtmlsu49.html b/docs/html/userhtmlsu49.html index 03b88635..e359bd7e 100644 --- a/docs/html/userhtmlsu49.html +++ b/docs/html/userhtmlsu49.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu52.html" >up]

-
+
call psb_owned_index(y, x, desc_a, info)

diff --git a/docs/html/userhtmlsu5.html b/docs/html/userhtmlsu5.html index a3b5df1a..d5635095 100644 --- a/docs/html/userhtmlsu5.html +++ b/docs/html/userhtmlsu5.html @@ -28,16 +28,16 @@ class="cmtt-10">_type. Every structure of this type is associated with a discretization pattern and enables data communications and other operations that are necessary for implementing the various algorithms of interest to us. -

The data structure itself psb_desc_type can be treated as an opaque object +

The data structure itself psb_desc_type can be treated as an opaque object handled via the tools routines of Sec. 6 or the query routines detailed below; nevertheless we include here a description for the curious reader. -

First we describe the psb_indx_map type. This is a data structure that keeps +

First we describe the psb_indx_map type. This is a data structure that keeps track of a certain number of basic issues such as:

    -
  • The value of the communication/MPI context; +
  • The value of the communication context;
  • The number of indices in the index space, i.e. global number of rows and columns of a sparse matrix; @@ -168,13 +168,17 @@ class="cmbx-10">bnd_elem
    A list of all boundary points, i.e. points that have a connection with other processes.
    -

    The Fortran 2003 declaration for psb_desc_type structures is as follows:

    +

    The Fortran 2003 declaration for psb_desc_type structures is as follows: +

    + + +
    -

    +

    type psb_desc_type  
        class(psb_indx_map), allocatable :: indxmap @@ -186,13 +190,16 @@ type psb_desc_type  
        integer, allocatable  :: bnd_elem(:)  
    end type psb_desc_type
    -

    +


    Figure 3: Listing 1: The PSBLAS defined data type that contains the communication -descriptor.
    -

-

A communication descriptor associated with a sparse matrix has a state, which +descriptor.

+ + + +
+

A communication descriptor associated with a sparse matrix has a state, which can take the following values:

Build:
State entered after the first allocation, and before the first assembly; in this state it is possible to add communication requirements among different processes. - - -
Assembled:
State entered after the assembly; computations using the associated sparse matrix, such as matrix-vector products, are only possible in this state.
-

3.1.1 Descriptor Methods
-

+

3.1.2 get_local_rows — Get number of local rows
@@ -221,8 +224,8 @@ class="description">State entered after the assembly; computations using
nr = desc%get_local_rows()
-

-

+

+

Type:
the communication descriptor.
Scope: local.
-

+

On Return
i|. The returned value is specific to the calling process.
-

+

3.1.3 get_local_cols — Get number of local cols
@@ -267,8 +270,8 @@ class="cmsy-10">|. The returned
nc = desc%get_local_cols()
-

-

+

+

Type:
the communication descriptor.
Scope: local.
-

+

On Return
i|. The returned value is specific to the calling process.
-

+

3.1.4 get_global_rows — Get number of global rows
@@ -318,8 +321,8 @@ class="cmsy-10">|. The returned value is specific to the
nr = desc%get_global_rows()
-

-

+

+

Type:
the communication descriptor.
Scope: local.
-

+

On Return
class="cmbx-10">Function value
The number of global rows, i.e. the size of the global index space.
-

+

3.1.5 get_global_cols — Get number of global cols
@@ -354,8 +357,8 @@ class="description">The number of global rows, i.e. the size of the global index
nr = desc%get_global_cols()
-

-

+

+

Type:
the communication descriptor.
Scope: local.
-

+

On Return
class="cmbx-10">Function value
The number of global cols; usually this is equal to the number of global rows.
-

+

3.1.6 get_global_indices — Get vector of global indices
@@ -390,8 +393,8 @@ class="description">The number of global cols; usually this is equal to the numb
myidx = desc%get_global_indices([owned])
-

-

+

+

Type:
owned
Choose if you only want owned indices (owned=.true.) or also halo - indices (owned=.false.). Scope: Choose if you only want owned indices (owned=.true.) or also halo + indices (owned=.false.). Scope: local.
Type: optional; default: .true..
optional; default: .true..
-

+

On Return
Function value
The global indices, returned as an allocatable integer array of - kind psb_lpk_ and rank 1.
-

+ kind psb_lpk_ and rank 1. +

3.1.7 get_context — Get communication context
-ictxt = desc%get_context() +ctxt = desc%get_context()
-

-

+

+

Type:
the communication descriptor.
Scope: local.
-

+

On Return
Function value
The communication context.
-

+

3.1.8 Clone — clone current object
@@ -476,8 +487,8 @@ class="description">The communication context.
call  desc%clone(descout,info)
-

-

+

+

Type:
the communication descriptor.
Scope: local.
-

+

On Return
A copy of the input object. info
Return code.
-

+

3.1.9 CNV — convert internal storage format
@@ -515,8 +526,8 @@ class="description">Return code.
call  desc%cnv(mold)
-

-

+

+

Type:
_T_base_vect_type.
-

The mold arguments may be employed to interface with special devices, such as GPUs +

The mold arguments may be employed to interface with special devices, such as GPUs and other accelerators. -

+

3.1.10 psb_cd_get_large_threshold — Get threshold for index mapping switch
@@ -559,8 +570,8 @@ switch
ith = psb_cd_get_large_threshold()
-

-

+

+

Type:
class="cmbx-10">Function value
The current value for the size threshold.
-

+

3.1.11 psb_cd_set_large_threshold — Set threshold for index mapping switch
@@ -584,8 +595,8 @@ switch
call psb_cd_set_large_threshold(ith)
-

-

+

+

Type:
required.
Intent: in.
Specified as: an integer value greater than zero.
-

Note: the threshold value is only queried by the library at the time a call to psb_cdall +

Note: the threshold value is only queried by the library at the time a call to psb_cdall is executed, therefore changing the threshold has no effect on communication descriptors that have already been initialized. Moreover the threshold must have the same value on all processes. -

+

3.1.12 get_p_adjcncy — Get process adjacency list
@@ -619,8 +630,8 @@ same value on all processes.
list =  desc%get_p_adjcncy()
-

-

+

+

Type:
Function value
The current list of adjacent processes, i.e. processes with which the current one has to exchange halo data.
-

+

3.1.13 set_p_adjcncy — Set process adjacency list
@@ -644,8 +655,8 @@ class="description">The current list of adjacent processes, i.e. processe
call desc%set_p_adjcncy(list)
-

-

+

+

Type:
Type: required.
Intent: in.
Specified as: a one-dimensional array of integers of kind psb_ipk_.
-

Note: this method can be called after a call to psb_cdall and before a call to -psb_cdasb. The user is specifying here some knowledge about which processes are +class="newline" />Specified as: a one-dimensional array of integers of kind psb_ipk_. +

Note: this method can be called after a call to psb_cdall and before a call to +psb_cdasb. The user is specifying here some knowledge about which processes are topological neighbours of the current process. The availability of this information -may speed up the execution of the assembly call psb_cdasb. -

+may speed up the execution of the assembly call psb_cdasb. +

3.1.14 fnd_owner — Find the owner process of a set of indices
@@ -682,8 +693,8 @@ class="cmtt-10">psb_cdasb.
call desc%fnd_owner(idx,iprc,info)
-

-

+

+

Type:
Type: required.
Intent: in.
Specified as: a one-dimensional array of integers of kind psb_lpk_. +class="newline" />Specified as: a one-dimensional array of integers of kind psb_lpk_.
On Return
iprc
the list of processes owning the indices in idx.
the list of processes owning the indices in idx.
Scope: local.
Type: required.
Intent: in.
Specified as: an allocatable one-dimensional array of integers of kind - psb_ipk_.
-

Note: this method may or may not actually require communications, depending on the + psb_ipk_. +

Note: this method may or may not actually require communications, depending on the exact internal data storage; given that the choice of storage may be altered by runtime parameters, it is necessary for safety that this method is called by all processes. -

+

3.1.15 Named Constants
-

+

psbpsb_comm_halo_
Exchange data based on the halo_index list; +class="description">Exchange data based on the halo_index list;
psb_comm_ext_
Exchange data based on the ext_index list; +class="description">Exchange data based on the ext_index list;
psb_comm_ovr_
Exchange data based on the ovrlap_index list; +class="description">Exchange data based on the ovrlap_index list;
psb_comm_mov_
Exchange data based on the ovr_mst_idx list; +class="description">Exchange data based on the ovr_mst_idx list;
-

[

[next] [front] [up]

-

diff --git a/docs/html/userhtmlsu50.html b/docs/html/userhtmlsu50.html index abeeb70d..bc5111f8 100644 --- a/docs/html/userhtmlsu50.html +++ b/docs/html/userhtmlsu50.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu53.html" >up]

-
+
call psb_is_local(x, desc_a)

diff --git a/docs/html/userhtmlsu51.html b/docs/html/userhtmlsu51.html index 98b2f4aa..3bf320b1 100644 --- a/docs/html/userhtmlsu51.html +++ b/docs/html/userhtmlsu51.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu54.html" >up]

-
+
call psb_local_index(y, x, desc_a, info)

diff --git a/docs/html/userhtmlsu52.html b/docs/html/userhtmlsu52.html index d970c404..14e21cd9 100644 --- a/docs/html/userhtmlsu52.html +++ b/docs/html/userhtmlsu52.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu55.html" >up]

-
+
call psb_get_boundary(bndel, desc, info)

diff --git a/docs/html/userhtmlsu53.html b/docs/html/userhtmlsu53.html index 4d5f699c..dec13356 100644 --- a/docs/html/userhtmlsu53.html +++ b/docs/html/userhtmlsu53.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlsu56.html" >up]

-
+
call psb_get_overlap(ovrel, desc, info)

diff --git a/docs/html/userhtmlsu54.html b/docs/html/userhtmlsu54.html index e37335c6..8041d19c 100644 --- a/docs/html/userhtmlsu54.html +++ b/docs/html/userhtmlsu54.html @@ -21,7 +21,7 @@ href="userhtmlsu32.html#userhtmlse7.html" >up]

-
+
call psb_sp_getrow(row, a, nz, ia, ja, val, info, &  
              & append, nzin, lrw)
diff --git a/docs/html/userhtmlsu55.html b/docs/html/userhtmlsu55.html index 35b7c749..bc2e5497 100644 --- a/docs/html/userhtmlsu55.html +++ b/docs/html/userhtmlsu55.html @@ -22,7 +22,7 @@ href="userhtmlsu32.html#userhtmlsu57.html" >up]

-
+
isz = psb_sizeof(a)  
isz = psb_sizeof(desc_a)  
isz = psb_sizeof(prec) diff --git a/docs/html/userhtmlsu56.html b/docs/html/userhtmlsu56.html index 047a538f..56a12a65 100644 --- a/docs/html/userhtmlsu56.html +++ b/docs/html/userhtmlsu56.html @@ -29,7 +29,7 @@ class="cmbx-12">_hsort — Sorting by the Heapsort algorithm -
+
call psb_msort(x,ix,dir,flag)  
call psb_qsort(x,ix,dir,flag)  
call psb_hsort(x,ix,dir,flag) diff --git a/docs/html/userhtmlsu57.html b/docs/html/userhtmlsu57.html index 9b44edbc..cfe917c1 100644 --- a/docs/html/userhtmlsu57.html +++ b/docs/html/userhtmlsu57.html @@ -19,8 +19,8 @@ href="userhtmlsu59.html#userhtmlsu60.html" >up]

-
-call psb_init(icontxt, np, basectxt, ids) +
+call psb_init(ctxt, np, basectxt, ids)

This subroutine initializes the PSBLAS parallel environment, defining a virtual @@ -80,12 +80,13 @@ class="cmbx-10">On Return

icontxt
the communication context identifying the virtual parallel machine. - Note that this is always a duplicate of basectxt, so that library - communications are completely separated from other communication - operations.
ctxt
the communication context identifying the virtual parallel machine, type + psb_ctxt_type. Note that this is always a duplicate of basectxt, + so that library communications are completely separated from other + communication operations.
Scope: global.
Type: up]

-
-call psb_info(icontxt, iam, np) +
+call psb_info(ctxt, iam, np)

This subroutine returns information about the PSBLAS parallel environment, @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

icontxt
ctxt
the communication context identifying the virtual parallel machine.
Scope: global.
psb_init a number of processes less than processes will have on return iam = -1; the only call involving icontxt - that any such process may execute is to ctxt that + any such process may execute is to psb_exit. diff --git a/docs/html/userhtmlsu59.html b/docs/html/userhtmlsu59.html index 6634744c..9f7fbc11 100644 --- a/docs/html/userhtmlsu59.html +++ b/docs/html/userhtmlsu59.html @@ -21,9 +21,9 @@ href="userhtmlsu59.html#userhtmlsu62.html" >up]

-
-call psb_exit(icontxt) - 
call psb_exit(icontxt,close) +
+call psb_exit(ctxt) + 
call psb_exit(ctxt,close)

This subroutine exits from the PSBLAS parallel virtual machine. @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

icontxt
ctxt
the communication context identifying the virtual parallel machine.
Scope: global.
Specified as: an integer variable. close
Whether to close all data structures related to the virtual parallel - machine, besides those associated with icontxt.
Scope: global.
Type: psb_info has returned class="cmmi-10">iam = -1; indeed, it it is the only routine that may be called with argument icontxt in this situation. +class="cmtt-10">ctxt in this situation.
  • A call to this routine with -

    [

    [next] [prev] [prev-tail] [tail] [up]

    3.2 Sparse Matrix class

    -

    The

    The psb_Tspmat[13] as detailed in [11]; the type declaration is shown in figure 4 where T is a +href="#x14-26001r2">2 where T is a placeholder for the data type and precision variants

    Double precision complex;
    • LS,LD,LC,LZ
    Same numeric type as above, but with psb_lpk_ integer +class="description">Same numeric type as above, but with psb_lpk_ integer indices.
    -

    The actual data is contained in the polymorphic component a%a of type +

    The actual data is contained in the polymorphic component a%a of type psb_base_sparse_mat; its specific layout can be chosen dynamically among the predefined types, or an entirely new storage layout can be implemented and passed to -the library at runtime via the psb_spasb routine.

    +the library at runtime via the psb_spasb routine. +

    + + +
    -

    +

      type :: psb_Tspmat_type  
        class(psb_T_base_sparse_mat), allocatable  :: a  
      end type  psb_Tspmat_type
    -

    +


    Figure 4: The PSBLAS defined data type that contains a sparse matrix.
    -

    -

    The following very common formats are precompiled in PSBLAS and thus are +>Listing 2: The PSBLAS defined data type that contains a sparse matrix.

    + + + +
    +

    The following very common formats are precompiled in PSBLAS and thus are always available:

    _coo_sparse_mat
    Coordinate storage; - - -
    psb_csc_sparse_mat
    Compressed storage by columns;
    -

    The inner sparse matrix has an associated state, which can take the following +

    The inner sparse matrix has an associated state, which can take the following values:

    State entered after a reinitalization; this is used to handl in which the same sparsity pattern is used multiple times with different coefficients. In this state it is only possible to enter coefficients for already existing nonzero entries.
    -

    The only storage variant supporting the build state is COO; all other variants are +

    The only storage variant supporting the build state is COO; all other variants are obtained by conversion to/from it. -

    3.2.1 Sparse Matrix Methods
    -

    +

    3.2.2 get_nrows — Get number of rows in a sparse matrix
    @@ -141,8 +146,8 @@ obtained by conversion to/from it.
    nr = a%get_nrows()
    -

    -

    +

    +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    The number of rows of sparse matrix a.
    -

    +class="description">The number of rows of sparse matrix a. +

    3.2.3 get_ncols — Get number of columns in a sparse matrix
    @@ -177,8 +182,8 @@ class="cmtt-10">a.
    nc = a%get_ncols()
    -

    -

    +

    +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    The number of columns of sparse matrix a.
    -

    +class="description">The number of columns of sparse matrix a. +

    3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix
    @@ -213,8 +218,8 @@ class="cmtt-10">a.
    nz = a%get_nnzeros()
    -

    -

    +

    +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    The number of nonzero elements stored in sparse matrix a.
    -

    The number of nonzero elements stored in sparse matrix a. +

    Notes

    1. The function value is specific to the storage format of matrix a; some + class="enumerate" id="x14-30002x1">The function value is specific to the storage format of matrix a; some storage formats employ padding, thus the returned value for the same matrix may be different for different storage choices.
    -

    +

    3.2.5 get_size — Get maximum number of nonzero elements in a sparse matrix
    @@ -258,8 +263,8 @@ matrix
    maxnz = a%get_size()
    -

    -

    +

    +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    The maximum number of nonzero elements that can be stored - in sparse matrix a using its current memory allocation.
    -

    + in sparse matrix a using its current memory allocation. +

    3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix
    @@ -295,8 +300,8 @@ class="cmtt-10">a using its current memory allocation.
    memory_size = a%sizeof()
    -

    -

    +

    +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    The memory occupation in bytes.
    -

    +

    3.2.7 get_fmt — Short description of the dynamic type
    - - - -
    -write(*,*) a%get_fmt() -
    -

    -

    +

    write(*,*) a%get_fmt() +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    A short string describing the dynamic type of the matrix. - Predefined values include NULL, COO, CSR and CSC.
    -

    -

    3.2.8 is_bld, is_upd, is_asb — Status check
    + Predefined values include NULL, COO, CSR and CSC. -
    -if (a%is_bld()) then - 
    if (a%is_upd()) then - 
    if (a%is_asb()) then -
    -

    -

    +

    +

    3.2.8 is_bld, is_upd, is_asb — Status check
    +

    if (a%is_bld()) then
    if (a%is_upd()) then
    if (a%is_asb()) then +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    A logical value indicating whether the matrix is in the Build, +class="description">A logical value indicating whether the matrix is in the Build, Update or Assembled state, respectively.
    -

    +

    3.2.9 is_lower, is_upper, is_triangle, is_unit — Format check
    -
    +
    if (a%is_triangle()) then  
    if (a%is_upper()) then  
    if (a%is_lower()) then  
    if (a%is_unit()) then
    -

    -

    +

    +

    Type:
    the sparse matrix
    Scope: local
    -

    +

    On Return
    Function value
    A logical value indicating whether the matrix is triangular; - if is_triangle() returns .true. check also if it is lower, upper and with +class="description">A logical value indicating whether the matrix is triangular; + if is_triangle() returns .true. check also if it is lower, upper and with a unit (i.e. assumed) diagonal.
    -

    +

    3.2.10 cscnv — Convert to a different storage format
    -
    +
    call  a%cscnv(b,info [, type, mold, dupl])  
    call  a%cscnv(info [, type, mold, dupl])
    -

    -

    +

    +

    Type:
    a
    the sparse matrix.
    A variable of type psb_Tspmat_type.
    A variable of type psb_Tspmat_type.
    Scope: local.
    @@ -480,15 +513,18 @@ class="newline" />Type: optional.
    mold
    a variable of class(psb_T_base_sparse_mat) requesting a new format.
    a variable of class(psb_T_base_sparse_mat) requesting a new format.
    Type: optional.
    dupl
    an integer value specifing how to handle duplicates (see Named Constants below)
    -

    +

    On Return
    b,a
    A copy of a with a new storage format.
    A variable of type psb_Tspmat_type. +class="description">A copy of a with a new storage format.
    A variable of type psb_Tspmat_type.
    info
    Return code.
    -

    The mold arguments may be employed to interface with special devices, such as GPUs +

    The mold arguments may be employed to interface with special devices, such as GPUs and other accelerators. -

    +

    3.2.11 csclip — Reduce to a submatrix
    -
    +
        call a%csclip(b,info[,&  
           & imin,imax,jmin,jmax,rscale,cscale])
    -

    -

    Returns the submatrix A(imin:imax,jmin:jmax), optionally rescaling row/col -indices to the range 1:imax-imin+1,1:jmax-jmin+1. +

    +

    Returns the submatrix A(imin:imax,jmin:jmax), optionally rescaling row/col +indices to the range 1:imax-imin+1,1:jmax-jmin+1.

    Type:
    a
    the sparse matrix.
    A variable of type psb_Tspmat_type.
    A variable of type psb_Tspmat_type.
    Scope: local.
    @@ -548,7 +601,7 @@ class="newline" />Type: optional. rscale,cscale
    Whether to rescale row/column indices. Type: optional.
    -

    +

    On Return
    b
    A copy of a submatrix of a.
    A variable of type psb_Tspmat_type. +class="description">A copy of a submatrix of a.
    A variable of type psb_Tspmat_type.
    info
    Return code.
    -

    +

    3.2.12 clean_zeros — Eliminate zero coefficients
    - - - -
    -    call a%clean_zeros(info) -
    -

    -

    Eliminates zero coefficients in the input matrix. Note that depending on the +

    call a%clean_zeros(info) +

    Eliminates zero coefficients in the input matrix. Note that depending on the internal storage format, there may still be some amount of zero padding in the output. -

    +

    Type:
    Asynchronous. + + +
    On Entry
    a
    the sparse matrix.
    A variable of type psb_Tspmat_type.
    A variable of type psb_Tspmat_type.
    Scope: local.
    -

    +

    On Return
    a
    The matrix a without zero coefficients.
    A variable of type psb_Tspmat_type. +class="description">The matrix a without zero coefficients.
    A variable of type psb_Tspmat_type.
    info
    Return code.
    -

    +

    3.2.13 get_diag — Get main diagonal
    - - - -
    -    call a%get_diag(d,info) -
    -

    -

    Returns a copy of the main diagonal. +

    call a%get_diag(d,info) +

    Returns a copy of the main diagonal.

    Type:
    a
    the sparse matrix.
    A variable of type psb_Tspmat_type.
    A variable of type psb_Tspmat_type.
    Scope: local.
    -

    +

    On Return
    A one-dimensional array of the appropriate type. info
    Return code.
    -

    -

    3.2.14 clip_diag — Cut out main diagonal
    -
    -    call a%clip_diag(b,info) -
    -

    -

    Returns a copy of a without the main diagonal. +

    +

    3.2.14 clip_diag — Cut out main diagonal
    +

    call a%clip_diag(b,info) +

    Returns a copy of a without the main diagonal.

    Type:
    a
    the sparse matrix.
    A variable of type psb_Tspmat_type.
    A variable of type psb_Tspmat_type.
    Scope: local.
    -

    +

    On Return
    b
    A copy of a without the main diagonal.
    A variable of type psb_Tspmat_type. +class="description">A copy of a without the main diagonal.
    A variable of type psb_Tspmat_type.
    info
    Return code.
    -

    +

    3.2.15 tril — Return the lower triangle
    -
    +
        call a%tril(l,info[,&  
           & diag,imin,imax,jmin,jmax,rscale,cscale,u])
    -

    -

    Returns the lower triangular part of submatrix A(imin:imax,jmin:jmax), -optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1 and +

    +

    Returns the lower triangular part of submatrix A(imin:imax,jmin:jmax), +optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1 and returing the complementary upper triangle.

    a
    the sparse matrix.
    A variable of type psb_Tspmat_type.
    A variable of type psb_Tspmat_type.
    Scope: local.
    diag
    Include diagonals up to this one; diag=1 means the first superdiagonal, - diag=-1 means the first subdiagonal. Default 0. +class="description">Include diagonals up to this one; diag=1 means the first superdiagonal, + diag=-1 means the first subdiagonal. Default 0.
    imin,imax,jmin,jmax
    Type: optional. rscale,cscale
    Whether to rescale row/column indices. Type: optional.
    -

    +

    On Return
    l
    A copy of the lower triangle of a.
    A variable of type psb_Tspmat_type. +class="description">A copy of the lower triangle of a.
    A variable of type psb_Tspmat_type.
    u
    (optional) A copy of the upper triangle of a.
    A variable of type psb_Tspmat_type. +class="description">(optional) A copy of the upper triangle of a.
    A variable of type psb_Tspmat_type.
    info
    Return code.
    -

    +

    3.2.16 triu — Return the upper triangle
    -
    +
        call a%triu(u,info[,&  
           & diag,imin,imax,jmin,jmax,rscale,cscale,l])
    -

    -

    Returns the upper triangular part of submatrix A(imin:imax,jmin:jmax), -optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1, +

    +

    Returns the upper triangular part of submatrix A(imin:imax,jmin:jmax), +optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1, and returing the complementary lower triangle.

    a
    the sparse matrix.
    A variable of type psb_Tspmat_type.
    A variable of type psb_Tspmat_type.
    Scope: local.
    diag
    Include diagonals up to this one; diag=1 means the first superdiagonal, - diag=-1 means the first subdiagonal. Default 0. +class="description">Include diagonals up to this one; diag=1 means the first superdiagonal, + diag=-1 means the first subdiagonal. Default 0.
    imin,imax,jmin,jmax
    Type: optional. rscale,cscale
    Whether to rescale row/column indices. Type: optional.
    -

    +

    On Return
    u
    A copy of the upper triangle of a.
    A variable of type psb_Tspmat_type. +class="description">A copy of the upper triangle of a.
    A variable of type psb_Tspmat_type.
    l
    (optional) A copy of the lower triangle of a.
    A variable of type psb_Tspmat_type. +class="description">(optional) A copy of the lower triangle of a.
    A variable of type psb_Tspmat_type.
    info
    Return code.
    -

    -

    3.2.17 psb_set_mat_default — Set default storage format
    -
    -call  psb_set_mat_default(a) -
    -

    -

    +

    +

    3.2.17 psb_set_mat_default — Set default storage format
    +

    call psb_set_mat_default(a) +

    Type:
    a
    a variable of class(psb_T_base_sparse_mat) requesting a new default +class="description">a variable of class(psb_T_base_sparse_mat) requesting a new default storage format.
    Type: required.
    -

    +

    3.2.18 clone — Clone current object
    - - - -
    -call  a%clone(b,info) -
    -

    -

    +

    call a%clone(b,info) +

    Type:
    the sparse matrix.
    Scope: local.
    -

    +

    On Return
    A copy of the input object. info
    Return code.
    -

    +

    3.2.19 Named Constants
    -

    +

    psb_ovwrt_
    Duplicate coefficients should be overwritten (i.e. ignore duplications) + + +
    psbUpdate strategy based on additional permutation data (see -

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    -

    diff --git a/docs/html/userhtmlsu60.html b/docs/html/userhtmlsu60.html index fb131e3f..c3a5bdf8 100644 --- a/docs/html/userhtmlsu60.html +++ b/docs/html/userhtmlsu60.html @@ -21,8 +21,8 @@ href="userhtmlsu59.html#userhtmlsu63.html" >up]

    -
    -icomm = psb_get_mpi_comm(icontxt) +
    +icomm = psb_get_mpi_comm(ctxt)

    This function returns the MPI communicator associated with a PSBLAS @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -rank = psb_get_mpi_rank(icontxt, id) +
    +rank = psb_get_mpi_rank(ctxt, id)

    This function returns the MPI rank of the PSBLAS process On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    +
    time = psb_wtime()

    diff --git a/docs/html/userhtmlsu63.html b/docs/html/userhtmlsu63.html index dd7f5c80..593a7195 100644 --- a/docs/html/userhtmlsu63.html +++ b/docs/html/userhtmlsu63.html @@ -21,8 +21,8 @@ href="userhtmlsu59.html#userhtmlsu66.html" >up]

    -
    -call psb_barrier(icontxt) +
    +call psb_barrier(ctxt)

    This subroutine acts as an explicit synchronization point for the PSBLAS parallel @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_abort(icontxt) +
    +call psb_abort(ctxt)

    This subroutine aborts computation on the parallel virtual machine. @@ -36,7 +36,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_bcast(icontxt, dat, root) +
    +call psb_bcast(ctxt, dat, root)

    This subroutine implements a broadcast operation based on the underlying @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_sum(icontxt, dat, root) +
    +call psb_sum(ctxt, dat, root)

    This subroutine implements a sum reduction operation based on the underlying @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_max(icontxt, dat, root) +
    +call psb_max(ctxt, dat, root)

    This subroutine implements a maximum valuereduction operation based on the @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_min(icontxt, dat, root) +
    +call psb_min(ctxt, dat, root)

    This subroutine implements a minimum value reduction operation based on the @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_amx(icontxt, dat, root) +
    +call psb_amx(ctxt, dat, root)

    This subroutine implements a maximum absolute value reduction operation based @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    -

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    3.3 Dense Vector Data Structure

    -

    The

    The psb_T6. Among other simple things, we define here an extraction method that can be used to get a full copy of the part of the vector stored on the local process. -

    The type declaration is shown in figure 5 where T is a placeholder for the data +

    The type declaration is shown in figure 3 where T is a placeholder for the data type and precision variants

    Single precision complex; Z
    Double precision complex.
    -

    The actual data is contained in the polymorphic component v%v; the separation between +

    The actual data is contained in the polymorphic component v%v; the separation between the application and the actual data is essential for cases where it is necessary to link to data storage made available elsewhere outside the direct control of the -compiler/application, e.g. data stored in a graphics accelerator’s private memory. -

    +compiler/application, e.g. data stored in a graphics accelerator’s private +memory. +

    + + +
    -

    -

    +

    +

      type psb_T_base_vect_type  
        TYPE(KIND_), allocatable :: v(:)  
      end type psb_T_base_vect_type @@ -81,28 +87,29 @@ compiler/application, e.g. data stored in a graphics accelerator’s private  
      end type  psb_T_vect_type  
    -

    +

    +
    Listing 3: The PSBLAS defined data type that contains a dense vector.
    -
    Figure 5: The PSBLAS defined data type that contains a dense vector.
    -

    -

    +

    3.3.1 Vector Methods
    -

    +

    3.3.2 get_nrows — Get number of rows in a dense vector
    - - - -
    -nr = v%get_nrows() -
    -

    -

    +

    nr = v%get_nrows() +

    Type:
    the dense vector
    Scope: local
    -

    +

    On Return
    Function value
    The number of rows of dense vector v.
    -

    +class="description">The number of rows of dense vector v.

    +

    3.3.3 sizeof — Get memory occupation in bytes of a dense vector
    - - - -
    -memory_size = v%sizeof() -
    -

    -

    +

    memory_size = v%sizeof() +

    Type:
    the dense vector
    Scope: local
    -

    +

    On Return
    Function value
    The memory occupation in bytes.
    -

    + + + +

    3.3.4 set — Set contents of the vector
    -
    +
     call  v%set(alpha[,first,last])  
     call  v%set(vect[,first,last])  
     call  v%zero()
    -

    -

    +

    +

    Type:
    required
    Intent: in.
    Specified as: a number of the data type indicated in Table 1. +href="userhtmlsu10.html#x19-56001r1">1.
    first,last
    required
    Intent: in.
    Specified as: a number of the data type indicated in Table 1.
    -

    Note that a call to v%zero() is provided as a shorthand, but is equivalent to a call -to v%set(zero) with the zero constant having the appropriate type and +href="userhtmlsu10.html#x19-56001r1">1. +

    Note that a call to v%zero() is provided as a shorthand, but is equivalent to a call +to v%set(zero) with the zero constant having the appropriate type and kind. -

    +

    On Return
    -

    +

    3.3.5 get_vect — Get a copy of the vector contents
    -
    +
    extv = v%get_vect([n])
    -

    -

    +

    +

    Type:
    Type: optional; default: entire vector.
    -

    +

    On Return
    n and the internal size of the vector, or 0 if n is negative; otherwise, the size of the array is the same as the internal size of the vector.
    -

    +

    3.3.6 clone — Clone current object
    -
    +
    call  x%clone(y,info)
    -

    -

    +

    +

    Type:
    the dense vector.
    Scope: local.
    -

    +

    On Return
    Return code.
    -

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    -

    diff --git a/docs/html/userhtmlsu70.html b/docs/html/userhtmlsu70.html index 4a8fda93..b8e9681e 100644 --- a/docs/html/userhtmlsu70.html +++ b/docs/html/userhtmlsu70.html @@ -21,8 +21,8 @@ href="userhtmlsu59.html#userhtmlsu73.html" >up]

    -
    -call psb_amn(icontxt, dat, root) +
    +call psb_amn(ctxt, dat, root)

    This subroutine implements a minimum absolute value reduction operation based @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_nrm2(icontxt, dat, root) +
    +call psb_nrm2(ctxt, dat, root)

    This subroutine implements a 2-norm value reduction operation based on the @@ -37,7 +37,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_snd(icontxt, dat, dst, m) +
    +call psb_snd(ctxt, dat, dst, m)

    This subroutine sends a packet of data to a destination. @@ -36,7 +36,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    up]

    -
    -call psb_rcv(icontxt, dat, src, m) +
    +call psb_rcv(ctxt, dat, src, m)

    This subroutine receives a packet of data to a destination. @@ -35,7 +35,7 @@ class="cmbx-10">On Entry

    icontxt
    ctxt
    the communication context identifying the virtual parallel machine.
    Scope: global.
    -

    [

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    8.1 psb_errpush — Pushes an error code onto the error stack

    - -
    +
    call psb_errpush(err_c, r_name, i_err, a_err) +class="cmbx-10">call psb_errpush(err_c, r_name, i_err, a_err)
    -

    +

    Type:
    -

    [

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    -

    diff --git a/docs/html/userhtmlsu75.html b/docs/html/userhtmlsu75.html index 1b0b6bcd..49475b43 100644 --- a/docs/html/userhtmlsu75.html +++ b/docs/html/userhtmlsu75.html @@ -10,7 +10,7 @@ -

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    8.2 psb_error — Prints the error stack content and aborts execution

    - -
    +
    call psb_error(icontxt) +class="cmbx-10">call psb_error(icontxt)
    -

    +

    Type:
    Specified as: an integer.
    -

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    -

    diff --git a/docs/html/userhtmlsu76.html b/docs/html/userhtmlsu76.html index 6ae8a04e..adff3b42 100644 --- a/docs/html/userhtmlsu76.html +++ b/docs/html/userhtmlsu76.html @@ -10,7 +10,7 @@ -

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    8.3 psb_set_errverbosity — Sets the verbosity of error messages

    - -
    +
    call psb_set_errverbosity(v) +class="cmbx-10">call psb_set_errverbosity(v)
    -

    +

    Type:
    Specified as: an integer.
    -

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    -

    diff --git a/docs/html/userhtmlsu77.html b/docs/html/userhtmlsu77.html index e3002b2c..e46d0927 100644 --- a/docs/html/userhtmlsu77.html +++ b/docs/html/userhtmlsu77.html @@ -10,7 +10,7 @@ -

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    8.4 psb_set_erraction — Set the type of action to be taken upon error condition

    - -
    +
    call psb_set_erraction(err_act) +class="cmbx-10">call psb_set_erraction(err_act)
    -

    +

    Type:
    up]

    id="x92-1290009.1"> hb_read — Read a sparse matrix from a file in the Harwell–Boeing format -
    call hb_read(a, iret, iunit, filename, b, mtitle) +class="cmbx-10">call hb_read(a, iret, iunit, filename, b, mtitle)

    diff --git a/docs/html/userhtmlsu79.html b/docs/html/userhtmlsu79.html index 55d166d1..70f94bda 100644 --- a/docs/html/userhtmlsu79.html +++ b/docs/html/userhtmlsu79.html @@ -20,32 +20,9 @@ href="userhtmlsu80.html#userhtmlsu82.html" >up]

    id="x93-1300009.2">hb_write — Write a sparse matrix to a file in the Harwell–Boeing format -
    call hb_write(a, iret, iunit, filename, key, rhs, mtitle) +class="cmbx-10">call hb_write(a, iret, iunit, filename, key, rhs, mtitle)

    diff --git a/docs/html/userhtmlsu8.html b/docs/html/userhtmlsu8.html index 5a02be22..327f010d 100644 --- a/docs/html/userhtmlsu8.html +++ b/docs/html/userhtmlsu8.html @@ -10,7 +10,7 @@ -

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    3.4 Preconditioner data structure

    -

    Our base library offers support for simple well known preconditioners like Diagonal +

    Our base library offers support for simple well known preconditioners like Diagonal Scaling or Block Jacobi with incomplete factorization ILU(0). -

    A preconditioner is held in the

    A preconditioner is held in the psb_prec_type data structure reported in figure 6. The psb_prec_type data type may contain a simple preconditioning matrix +href="#x16-53001r4">4. The psb_prec_type data type may contain a simple preconditioning matrix with the associated communication descriptor.The internal preconditioner is allocated appropriately with the dynamic type corresponding to the desired -preconditioner.

    +preconditioner. - +

    -

    -

    +

    +

     
      type psb_Tprec_type  
        class(psb_T_base_prec_type), allocatable :: prec  
      end type psb_Tprec_type  
    -

    +


    Figure 6: The PSBLAS defined data type that contains a preconditioner.
    +>Listing 4: The PSBLAS defined data type that contains a preconditioner.
    -

    +
    -

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    -

    diff --git a/docs/html/userhtmlsu80.html b/docs/html/userhtmlsu80.html index 547efe1d..dcb5eba8 100644 --- a/docs/html/userhtmlsu80.html +++ b/docs/html/userhtmlsu80.html @@ -21,23 +21,9 @@ href="userhtmlsu80.html#userhtmlsu83.html" >up]

    id="x94-1310009.3">mm_mat_read — Read a sparse matrix from a file in the MatrixMarket format -
    call mm_mat_read(a, iret, iunit, filename) +class="cmbx-10">call mm_mat_read(a, iret, iunit, filename)

    diff --git a/docs/html/userhtmlsu81.html b/docs/html/userhtmlsu81.html index 38d5c58f..e9c0724d 100644 --- a/docs/html/userhtmlsu81.html +++ b/docs/html/userhtmlsu81.html @@ -21,23 +21,9 @@ href="userhtmlsu80.html#userhtmlse10.html" >up]

    id="x95-1320009.4">mm_array_read — Read a dense array from a file in the MatrixMarket format -
    call mm_array_read(b, iret, iunit, filename) +class="cmbx-10">call mm_array_read(b, iret, iunit, filename)

    diff --git a/docs/html/userhtmlsu82.html b/docs/html/userhtmlsu82.html index 8773da4a..83ebf0d6 100644 --- a/docs/html/userhtmlsu82.html +++ b/docs/html/userhtmlsu82.html @@ -21,26 +21,9 @@ href="userhtmlsu80.html#userhtmlsu84.html" >up]

    id="x96-1330009.5">mm_mat_write — Write a sparse matrix to a file in the MatrixMarket format -
    call mm_mat_write(a, mtitle, iret, iunit, filename) +class="cmbx-10">call mm_mat_write(a, mtitle, iret, iunit, filename)

    diff --git a/docs/html/userhtmlsu83.html b/docs/html/userhtmlsu83.html index a82cb59f..97b34e54 100644 --- a/docs/html/userhtmlsu83.html +++ b/docs/html/userhtmlsu83.html @@ -20,26 +20,9 @@ href="userhtmlsu80.html#userhtmlsu85.html" >up]

    id="x97-1340009.6">mm_array_write — Write a dense array from a file in the MatrixMarket format -
    call mm_array_write(b, vtitle, iret, iunit, filename) +class="cmbx-10">call mm_array_write(b, vtitle, iret, iunit, filename)

    diff --git a/docs/html/userhtmlsu84.html b/docs/html/userhtmlsu84.html index 627c4fd6..b8221c11 100644 --- a/docs/html/userhtmlsu84.html +++ b/docs/html/userhtmlsu84.html @@ -19,7 +19,7 @@ href="userhtmlsu86.html#userhtmlsu87.html" >up]

    -
    +
    call prec%init(icontxt,ptype, info)

    diff --git a/docs/html/userhtmlsu85.html b/docs/html/userhtmlsu85.html index a8b076fd..52e30e32 100644 --- a/docs/html/userhtmlsu85.html +++ b/docs/html/userhtmlsu85.html @@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu89.html" >up]

    -
    +
    call prec%build(a, desc_a, info[,amold,vmold,imold])

    diff --git a/docs/html/userhtmlsu86.html b/docs/html/userhtmlsu86.html index 49e92286..6b1398ad 100644 --- a/docs/html/userhtmlsu86.html +++ b/docs/html/userhtmlsu86.html @@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlse11.html" >up]

    -
    +
    call prec%apply(x,y,desc_a,info,trans,work)  
    call prec%apply(x,desc_a,info,trans)
    diff --git a/docs/html/userhtmlsu87.html b/docs/html/userhtmlsu87.html index 25207037..610d74a0 100644 --- a/docs/html/userhtmlsu87.html +++ b/docs/html/userhtmlsu87.html @@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu90.html" >up]

    -
    +
    call prec%descr()  
    call prec%descr(iout, root)
    diff --git a/docs/html/userhtmlsu88.html b/docs/html/userhtmlsu88.html index 1478c831..d977360d 100644 --- a/docs/html/userhtmlsu88.html +++ b/docs/html/userhtmlsu88.html @@ -20,7 +20,7 @@ href="userhtmlsu86.html#userhtmlli2.html" >up]

    -
    +
    call  prec%clone(precout,info)

    diff --git a/docs/html/userhtmlsu89.html b/docs/html/userhtmlsu89.html index 7d0b20b2..73acfc72 100644 --- a/docs/html/userhtmlsu89.html +++ b/docs/html/userhtmlsu89.html @@ -20,7 +20,7 @@ href="userhtmlsu86.html# " >up]

    -
    +
    call prec%free(info)

    diff --git a/docs/html/userhtmlsu9.html b/docs/html/userhtmlsu9.html index 311ae768..b3e92a03 100644 --- a/docs/html/userhtmlsu9.html +++ b/docs/html/userhtmlsu9.html @@ -10,14 +10,14 @@ -

    [

    [prev] [prev-tail] [tail] [up]

    3.5 Heap data structure

    -

    Among the tools routines of sec. 

    Among the tools routines of sec. 6, we have a number of sorting utilities; the heap sort is implemented in terms of heaps having the following signatures:

    @@ -25,8 +25,16 @@ sort is implemented in terms of heaps having the following signatures: class="cmtt-10">psb_T_heap
    : a heap containing elements of type T, where T can be i,s,c,d,z +class="description">: a heap containing elements of type T, where T can be i,s,c,d,z for integer, real and complex data;
    _idx_heap
    : a heap containing elements of type T, as above, together with an integer index.
    -

    Given a heap object, the following methods are defined on it: +

    Given a heap object, the following methods are defined on it:

    init
    Print on file; free
    Release memory.
    -

    These objects are used in MLD2P4 to implement the factorization algorithms. +

    These objects are used in AMG4PSBLAS to implement the factorization algorithms. diff --git a/docs/html/userhtmlsu90.html b/docs/html/userhtmlsu90.html index b9805544..826b49f4 100644 --- a/docs/html/userhtmlsu90.html +++ b/docs/html/userhtmlsu90.html @@ -61,50 +61,11 @@ class="cmmi-7">i the corresponding residual at the i-th iteration. -

    call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& 
        & itmax,iter,err,itrace,irst,istop,cond) +class="cmbx-10">call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& 
         & itmax,iter,err,itrace,irst,istop,cond)

    diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.7.pdf index 0da729c5..f1800f83 100644 --- a/docs/psblas-3.7.pdf +++ b/docs/psblas-3.7.pdf @@ -442,9 +442,9 @@ stream endstream endobj -579 0 obj +581 0 obj << -/Length 584 +/Length 729 >> stream 0 g 0 G @@ -453,627 +453,668 @@ stream 0 g 0 G 0 g 0 G BT -/F16 24.7871 Tf 135.453 563.395 Td [(PSBLAS)-375(3.7.0)-375(User's)-375(guide)]TJ +/F41 24.7871 Tf 169.511 626.192 Td [(PSBLAS)-250(3.7.0)-250(User)-55(')55(s)-250(guide)]TJ ET q -1 0 0 1 125.3 547.151 cm +1 0 0 1 125.3 609.564 cm 0 0 343.711 4.981 re f Q BT -/F18 14.3462 Tf 132.314 525.468 Td [(A)-350(r)50(efer)50(enc)50(e)-350(guide)-350(for)-350(the)-350(Par)50(al)-50(lel)-350(Sp)50(arse)-350(BLAS)-350(libr)50(ary)]TJ +/F42 14.3462 Tf 156.541 586.371 Td [(A)-250(r)18(efer)18(ence)-250(guide)-250(for)-250(the)-250(Parallel)-250(Sparse)-250(BLAS)-250(library)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf 223.567 -135.228 Td [(b)32(y)-383(Salv)63(atore)-383(Filipp)-32(one)]TJ 12.889 -11.955 Td [(and)-383(Alfredo)-384(Buttari)]TJ/F8 9.9626 Tf 40.88 -11.955 Td [(Jan)-333(7th,)-334(2020)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +ET +1 0 0 1 168.637 344.692 cm +q +.42964 0 0 .42964 0 0 cm +q +480 0 0 360 0 0 cm +/Im1 Do +Q +Q +0 g 0 G +0 g 0 G +0 g 0 G +1 0 0 1 -168.637 -344.692 cm +BT +/F41 9.9626 Tf 365.51 263.451 Td [(by)-250(Salvatore)-250(Filippone)]TJ 14.396 -11.956 Td [(and)-250(Alfredo)-250(Buttari)]TJ/F44 9.9626 Tf 33.584 -11.955 Td [(Jan)-250(7th,)-250(2020)]TJ 0 g 0 G 0 g 0 G ET endstream endobj -589 0 obj +578 0 obj +<< +/Type /XObject +/Subtype /Image +/Width 640 +/Height 480 +/BitsPerComponent 8 +/ColorSpace /DeviceRGB +/SMask 588 0 R +/Length 921600 +>> +stream 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+ 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[-886(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-369(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1584(9)]TJ + [-2000(9)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 22.914 -12.091 Td [(3.1.1)-1144(Des)-1(crip)1(tor)-334(Metho)-28(ds)]TJ + 22.914 -12.074 Td [(3.1.1)-1200(Descriptor)-250(Methods)]TJ 0 g 0 G - [-913(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-911(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(12)]TJ + [-1500(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.091 Td [(3.1.2)-1144(ge)-1(t)]TJ + 0 -12.074 Td [(3.1.2)-1200(get)]TJ ET q -1 0 0 1 183.515 543.167 cm +1 0 0 1 183.79 542.523 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 542.968 Td [(lo)-28(cal)]TJ +/F44 9.9626 Tf 186.779 542.324 Td [(local)]TJ ET q -1 0 0 1 207.304 543.167 cm +1 0 0 1 208.019 542.523 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 210.293 542.968 Td [(ro)28(ws)-334(|)-333(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(lo)-28(cal)-333(ro)28(ws)]TJ +/F44 9.9626 Tf 211.008 542.324 Td [(r)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(local)-250(r)18(ows)]TJ 0 g 0 G - [-893(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-471(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(12)]TJ + [-1500(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -72.54 -12.091 Td [(3.1.3)-1144(ge)-1(t)]TJ + -73.255 -12.074 Td [(3.1.3)-1200(get)]TJ ET q -1 0 0 1 183.515 531.076 cm +1 0 0 1 183.79 530.449 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 530.877 Td [(lo)-28(cal)]TJ +/F44 9.9626 Tf 186.779 530.25 Td [(local)]TJ ET q -1 0 0 1 207.304 531.076 cm +1 0 0 1 208.019 530.449 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 210.293 530.877 Td [(cols)-333(|)-334(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(lo)-28(cal)-333(cols)]TJ +/F44 9.9626 Tf 211.008 530.25 Td [(cols)-250(\227)-250(Get)-250(number)-250(of)-250(local)-250(cols)]TJ 0 g 0 G - [-842(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-673(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(12)]TJ + [-1500(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -72.54 -12.091 Td [(3.1.4)-1144(ge)-1(t)]TJ + -73.255 -12.074 Td [(3.1.4)-1200(get)]TJ ET q -1 0 0 1 183.515 518.985 cm +1 0 0 1 183.79 518.375 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 518.786 Td [(global)]TJ +/F44 9.9626 Tf 186.779 518.176 Td [(global)]TJ ET q -1 0 0 1 213.115 518.985 cm +1 0 0 1 214.644 518.375 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 216.104 518.786 Td [(ro)28(ws)-334(|)-333(Get)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(global)-333(ro)27(ws)]TJ +/F44 9.9626 Tf 217.633 518.176 Td [(r)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(global)-250(r)18(ows)]TJ 0 g 0 G - [-503(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-641(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(12)]TJ + [-1500(12)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -78.351 -12.091 Td [(3.1.5)-1144(ge)-1(t)]TJ + -79.88 -12.074 Td [(3.1.5)-1200(get)]TJ ET q -1 0 0 1 183.515 506.894 cm +1 0 0 1 183.79 506.301 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 506.695 Td [(global)]TJ +/F44 9.9626 Tf 186.779 506.102 Td [(global)]TJ ET q -1 0 0 1 213.115 506.894 cm +1 0 0 1 214.644 506.301 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 216.104 506.695 Td [(cols)-333(|)-334(Get)-333(n)28(um)27(b)-27(er)-334(of)-333(global)-333(cols)]TJ +/F44 9.9626 Tf 217.633 506.102 Td [(cols)-250(\227)-250(Get)-250(number)-250(of)-250(global)-250(cols)]TJ 0 g 0 G - [-453(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-843(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(13)]TJ + [-1500(13)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -78.351 -12.091 Td [(3.1.6)-1144(ge)-1(t)]TJ + -79.88 -12.075 Td [(3.1.6)-1200(get)]TJ ET q -1 0 0 1 183.515 494.803 cm +1 0 0 1 183.79 494.227 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 494.604 Td [(global)]TJ +/F44 9.9626 Tf 186.779 494.027 Td [(global)]TJ ET q -1 0 0 1 213.115 494.803 cm +1 0 0 1 214.644 494.227 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 216.104 494.604 Td [(indices)-333(|)-334(Get)-333(v)28(ector)-334(of)-333(global)-333(indices)]TJ +/F44 9.9626 Tf 217.633 494.027 Td [(indices)-250(\227)-250(Get)-250(vector)-250(of)-250(global)-250(indices)]TJ 0 g 0 G - [-759(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-999(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(13)]TJ + [-1500(13)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -78.351 -12.091 Td [(3.1.7)-1144(ge)-1(t)]TJ + -79.88 -12.074 Td [(3.1.7)-1200(get)]TJ ET q -1 0 0 1 183.515 482.712 cm +1 0 0 1 183.79 482.153 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 482.513 Td [(con)28(text)-334(|)-333(Get)-333(comm)27(unication)-333(con)28(text)]TJ +/F44 9.9626 Tf 186.779 481.953 Td [(context)-250(\227)-250(Get)-250(communication)-250(context)]TJ 0 g 0 G - [-966(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-852(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(13)]TJ + [-1500(13)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -48.751 -12.091 Td [(3.1.8)-1144(Clone)-334(|)-333(clone)-334(cur)1(ren)27(t)-333(ob)-56(j)1(e)-1(ct)]TJ + -49.026 -12.074 Td [(3.1.8)-1200(Clone)-250(\227)-250(clone)-250(curr)18(ent)-250(object)]TJ 0 g 0 G - [-577(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-763(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(14)]TJ + [-1500(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.091 Td [(3.1.9)-1144(CNV)-334(|)-333(con)28(v)27(ert)-333(in)28(ternal)-333(storage)-334(format)]TJ + 0 -12.074 Td [(3.1.9)-1200(CNV)-250(\227)-250(convert)-250(internal)-250(storage)-250(format)]TJ 0 g 0 G - [-649(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-496(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(14)]TJ + [-1500(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.091 Td [(3.1.10)-644(psb)]TJ + 0 -12.074 Td [(3.1.10)-700(psb)]TJ ET q -1 0 0 1 185.231 446.439 cm +1 0 0 1 185.952 445.93 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 188.22 446.24 Td [(cd)]TJ +/F44 9.9626 Tf 188.941 445.731 Td [(cd)]TJ ET q -1 0 0 1 198.78 446.439 cm +1 0 0 1 200.049 445.93 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.769 446.24 Td [(get)]TJ +/F44 9.9626 Tf 203.038 445.731 Td [(get)]TJ ET q -1 0 0 1 215.65 446.439 cm +1 0 0 1 217.195 445.93 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 218.639 446.24 Td [(large)]TJ +/F44 9.9626 Tf 220.184 445.731 Td [(lar)18(ge)]TJ ET q -1 0 0 1 240.297 446.439 cm +1 0 0 1 242.729 445.93 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 243.286 446.24 Td [(threshold)-222(|)-222(Get)-223(threshold)-222(for)-222(index)-222(map-)]TJ -73.652 -11.955 Td [(ping)-333(switc)27(h)]TJ +/F44 9.9626 Tf 245.718 445.731 Td [(thr)18(eshold)-190(\227)-190(Get)-190(thr)18(eshold)-190(for)-190(index)-190(map-)]TJ -76.084 -11.955 Td [(ping)-250(switch)]TJ 0 g 0 G - [-716(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-819(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(14)]TJ + [-1500(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.88 -12.091 Td [(3.1.11)-644(psb)]TJ + -31.881 -12.074 Td [(3.1.11)-700(psb)]TJ ET q -1 0 0 1 185.231 422.393 cm +1 0 0 1 185.952 421.901 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 188.22 422.194 Td [(cd)]TJ +/F44 9.9626 Tf 188.941 421.702 Td [(cd)]TJ ET q -1 0 0 1 198.78 422.393 cm +1 0 0 1 200.049 421.901 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.769 422.194 Td [(set)]TJ +/F44 9.9626 Tf 203.038 421.702 Td [(set)]TJ ET q -1 0 0 1 214.599 422.393 cm +1 0 0 1 215.88 421.901 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 217.588 422.194 Td [(large)]TJ +/F44 9.9626 Tf 218.869 421.702 Td [(lar)18(ge)]TJ ET q -1 0 0 1 239.245 422.393 cm +1 0 0 1 241.414 421.901 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 242.234 422.194 Td [(threshold)-228(|)-227(Set)-228(threshold)-227(for)-228(index)-227(map-)]TJ -72.6 -11.956 Td [(ping)-333(switc)27(h)]TJ +/F44 9.9626 Tf 244.403 421.702 Td [(thr)18(eshold)-190(\227)-190(Set)-190(thr)18(eshold)-190(for)-190(index)-190(map-)]TJ -74.769 -11.955 Td [(ping)-250(switch)]TJ 0 g 0 G - [-716(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-819(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(14)]TJ + [-1500(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.881 -12.091 Td [(3.1.12)-644(ge)-1(t)]TJ + -31.881 -12.074 Td [(3.1.12)-700(get)]TJ ET q -1 0 0 1 183.515 398.347 cm +1 0 0 1 183.79 397.872 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.504 398.147 Td [(p)]TJ +/F44 9.9626 Tf 186.779 397.673 Td [(p)]TJ ET q -1 0 0 1 192.637 398.347 cm +1 0 0 1 193.364 397.872 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 195.625 398.147 Td [(adjcncy)-333(|)-334(Get)-333(pro)-28(cess)-333(adjacency)-334(list)]TJ +/F44 9.9626 Tf 196.353 397.673 Td [(adjcncy)-250(\227)-250(Get)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ 0 g 0 G - [-697(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-652(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(15)]TJ + [-1500(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -57.872 -12.091 Td [(3.1.13)-644(s)-1(et)]TJ + -58.6 -12.074 Td [(3.1.13)-700(set)]TJ ET q -1 0 0 1 182.464 386.256 cm +1 0 0 1 182.475 385.798 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 185.452 386.056 Td [(p)]TJ +/F44 9.9626 Tf 185.464 385.599 Td [(p)]TJ ET q -1 0 0 1 191.585 386.256 cm +1 0 0 1 192.049 385.798 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.574 386.056 Td [(adjcncy)-333(|)-334(Set)-333(pro)-28(cess)-333(adjacency)-333(list)]TJ +/F44 9.9626 Tf 195.038 385.599 Td [(adjcncy)-250(\227)-250(Set)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ 0 g 0 G - [-255(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-272(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(15)]TJ + [-1500(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -56.821 -12.091 Td [(3.1.14)-644(fnd)]TJ + -57.285 -12.074 Td [(3.1.14)-700(fnd)]TJ ET q -1 0 0 1 184.345 374.165 cm +1 0 0 1 185.434 373.724 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 187.334 373.965 Td [(o)28(wner)-334(|)-333(Find)-333(the)-333(o)27(wner)-333(pro)-28(cess)-333(of)-334(a)-333(set)-333(of)-334(ind)1(ic)-1(es)]TJ +/F44 9.9626 Tf 188.423 373.524 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(pr)18(ocess)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ 0 g 0 G - [-984(.)]TJ + [-361(.)]TJ 0 g 0 G - [-1083(15)]TJ + [-1500(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 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[-338(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ + [-655(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(45)]TJ + [-1500(45)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(4.10)-522(psb)]TJ + -42.221 -12.079 Td [(4.10)-550(psb)]TJ ET q -1 0 0 1 204.16 442.609 cm +1 0 0 1 204.881 430.529 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 442.409 Td [(norm1)-333(|)-334(1-Norm)-333(of)-333(Sparse)-334(Matrix)]TJ +/F44 9.9626 Tf 207.87 430.33 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ 0 g 0 G - [-956(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ + [-841(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(46)]TJ + [-1500(46)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.079 Td [(4.11)-522(psb)]TJ + -42.221 -12.08 Td [(4.11)-550(psb)]TJ ET q -1 0 0 1 204.16 430.529 cm +1 0 0 1 204.881 418.449 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 430.33 Td [(normi)-333(|)-334(In\014ni)1(t)27(y)-333(Norm)-333(of)-334(Sparse)-333(Matrix)]TJ +/F44 9.9626 Tf 207.87 418.25 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ 0 g 0 G - [-817(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-604(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(47)]TJ + [-1500(47)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(4.12)-522(psb)]TJ + -42.221 -12.08 Td [(4.12)-550(psb)]TJ ET q -1 0 0 1 204.16 418.449 cm +1 0 0 1 204.881 406.37 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 418.25 Td [(spmm)-333(|)-334(Sparse)-333(Matrix)-333(b)28(y)-334(Dense)-333(Matrix)-333(Pro)-28(duct)]TJ +/F44 9.9626 Tf 207.87 406.17 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct)]TJ 0 g 0 G - [-584(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-491(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(48)]TJ + [-1500(48)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(4.13)-522(psb)]TJ + -42.221 -12.079 Td [(4.13)-550(psb)]TJ ET q -1 0 0 1 204.16 406.37 cm +1 0 0 1 204.881 394.29 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 406.17 Td [(spsm)-333(|)-334(T)84(riangular)-334(System)-333(Solv)28(e)]TJ +/F44 9.9626 Tf 207.87 394.091 Td [(spsm)-250(\227)-250(T)90(riangular)-250(System)-250(Solve)]TJ 0 g 0 G - [-284(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-945(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(50)]TJ + [-1500(50)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.079 Td [(4.14)-522(psb)]TJ + -42.221 -12.08 Td [(4.14)-550(psb)]TJ ET q -1 0 0 1 204.16 394.29 cm +1 0 0 1 204.881 382.21 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 394.091 Td [(gemlt)-333(|)-334(En)28(trywise)-333(Pro)-28(duct)]TJ +/F44 9.9626 Tf 207.87 382.011 Td [(gemlt)-250(\227)-250(Entrywise)-250(Pr)18(oduct)]TJ 0 g 0 G - [-906(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-968(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(53)]TJ + [-1500(53)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(4.15)-522(psb)]TJ + -42.221 -12.08 Td [(4.15)-550(psb)]TJ ET q -1 0 0 1 204.16 382.21 cm +1 0 0 1 204.881 370.131 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 382.011 Td [(gediv)-333(|)-334(En)28(trywise)-333(Division)]TJ +/F44 9.9626 Tf 207.87 369.931 Td [(gediv)-250(\227)-250(Entrywise)-250(Division)]TJ 0 g 0 G - [-1015(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-748(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(55)]TJ + [-1500(55)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(4.16)-522(psb)]TJ + -42.221 -12.079 Td [(4.16)-550(psb)]TJ ET q -1 0 0 1 204.16 370.131 cm +1 0 0 1 204.881 358.051 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 369.931 Td [(gein)28(v)-334(|)-333(En)28(trywise)-333(In)27(v)28(ersion)]TJ +/F44 9.9626 Tf 207.87 357.852 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ 0 g 0 G - [-664(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-340(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(57)]TJ + [-1500(57)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -56.444 -22.125 Td [(5)-925(Comm)32(unication)-383(r)-1(ou)1(t)-1(ines)]TJ +/F41 9.9626 Tf -57.165 -22.126 Td [(5)-1000(Communication)-250(routines)]TJ 0 g 0 G - [-19454(58)]TJ + [-20585(58)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.08 Td [(5.1)-1022(psb)]TJ +/F44 9.9626 Tf 14.944 -12.079 Td [(5.1)-1050(psb)]TJ ET q -1 0 0 1 204.16 335.925 cm +1 0 0 1 204.881 323.846 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 335.726 Td [(halo)-333(|)-334(Halo)-333(Data)-333(Comm)27(un)1(ic)-1(ati)1(o)-1(n)]TJ +/F44 9.9626 Tf 207.87 323.647 Td [(halo)-250(\227)-250(Halo)-250(Data)-250(Communication)]TJ 0 g 0 G - [-320(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-888(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(59)]TJ + [-1500(59)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(5.2)-1022(psb)]TJ + -42.221 -12.08 Td [(5.2)-1050(psb)]TJ ET q -1 0 0 1 204.16 323.846 cm +1 0 0 1 204.881 311.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 323.647 Td [(o)28(vrl)-333(|)-334(Ov)28(erlap)-333(Up)-28(date)]TJ +/F44 9.9626 Tf 207.87 311.567 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ 0 g 0 G - [-579(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-553(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(62)]TJ + [-1500(62)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(5.3)-1022(psb)]TJ + -42.221 -12.08 Td [(5.3)-1050(psb)]TJ ET q -1 0 0 1 204.16 311.766 cm +1 0 0 1 204.881 299.686 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 311.567 Td [(gather)-333(|)-334(Gather)-333(Global)-333(Dense)-334(Matrix)]TJ +/F44 9.9626 Tf 207.87 299.487 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ 0 g 0 G - [-903(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-973(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(66)]TJ + [-1500(66)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(5.4)-1022(psb)]TJ + -42.221 -12.08 Td [(5.4)-1050(psb)]TJ ET q -1 0 0 1 204.16 299.686 cm +1 0 0 1 204.881 287.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 299.487 Td [(scatter)-333(|)-334(Scatter)-333(Global)-333(Dense)-334(Matrix)]TJ -0 g 0 G - [-682(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +/F44 9.9626 Tf 207.87 287.407 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ 0 g 0 G - [-1084(68)]TJ + [-967(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -56.444 -22.125 Td [(6)-925(Data)-383(managem)-1(e)1(n)31(t)-383(routines)]TJ + [-1500(68)]TJ 0 g 0 G - [-18205(70)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.08 Td [(6.1)-1022(psb)]TJ -ET -q -1 0 0 1 204.16 265.481 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 207.149 265.282 Td [(cdall)-333(|)-334(Allo)-27(cates)-334(a)-333(comm)27(u)1(nication)-334(descriptor)]TJ -0 g 0 G - [-817(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ -0 g 0 G - [-1084(70)]TJ +/F41 9.9626 Tf -57.165 -22.125 Td [(6)-1000(Data)-250(management)-250(routines)]TJ 0 g 0 G + [-19668(70)]TJ 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.2)-1022(psb)]TJ +/F44 9.9626 Tf 14.944 -12.08 Td [(6.1)-1050(psb)]TJ ET q -1 0 0 1 204.16 253.402 cm +1 0 0 1 204.881 253.402 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 253.202 Td [(cdins)-333(|)-334(Comm)28(unication)-333(descriptor)-333(inse)-1(r)1(t)-334(routine)]TJ +/F44 9.9626 Tf 207.87 253.202 Td [(cdall)-250(\227)-250(Allocates)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-861(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-363(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(74)]TJ + [-1500(70)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.079 Td [(6.3)-1022(psb)]TJ + -42.221 -12.079 Td [(6.2)-1050(psb)]TJ ET q -1 0 0 1 204.16 241.322 cm +1 0 0 1 204.881 241.322 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 241.123 Td [(cdasb)-333(|)-334(Comm)28(unication)-333(descriptor)-334(assem)28(bly)-333(routine)]TJ +/F44 9.9626 Tf 207.87 241.123 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(r)18(outine)]TJ 0 g 0 G - [-748(.)-500(.)-500(.)-500(.)]TJ + [-261(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(76)]TJ + [-1500(74)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.4)-1022(psb)]TJ + -42.221 -12.08 Td [(6.3)-1050(psb)]TJ ET q -1 0 0 1 204.16 229.242 cm +1 0 0 1 204.881 229.242 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 229.043 Td [(cdcp)28(y)-334(|)-333(Copies)-333(a)-334(comm)28(unication)-333(descriptor)]TJ +/F44 9.9626 Tf 207.87 229.043 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(r)18(outine)]TJ 0 g 0 G - [-706(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-718(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(77)]TJ + [-1500(76)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.5)-1022(psb)]TJ + -42.221 -12.08 Td [(6.4)-1050(psb)]TJ ET q -1 0 0 1 204.16 217.162 cm +1 0 0 1 204.881 217.163 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 216.963 Td [(cdfree)-333(|)-334(F)84(rees)-334(a)-333(comm)28(unication)-334(descriptor)]TJ +/F44 9.9626 Tf 207.87 216.963 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-492(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-873(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(78)]TJ + [-1500(77)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.079 Td [(6.6)-1022(psb)]TJ + -42.221 -12.079 Td [(6.5)-1050(psb)]TJ ET q -1 0 0 1 204.16 205.083 cm +1 0 0 1 204.881 205.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 204.884 Td [(cdbldext)-333(|)-334(Build)-333(an)-333(extended)-333(co)-1(mm)28(unication)-333(descriptor)]TJ +/F44 9.9626 Tf 207.87 204.884 Td [(cdfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-614(.)-500(.)]TJ + [-791(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(79)]TJ + [-1500(78)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.7)-1022(psb)]TJ + -42.221 -12.08 Td [(6.6)-1050(psb)]TJ ET q -1 0 0 1 204.16 193.003 cm +1 0 0 1 204.881 193.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 192.804 Td [(spall)-333(|)-334(Allo)-27(cates)-334(a)-333(sparse)-334(matrix)]TJ +/F44 9.9626 Tf 207.87 192.804 Td [(cdbldext)-250(\227)-250(Build)-250(an)-250(extended)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-806(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ + [-676(.)]TJ 0 g 0 G - [-1084(81)]TJ + [-1500(79)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.8)-1022(psb)]TJ + -42.221 -12.08 Td [(6.7)-1050(psb)]TJ ET q -1 0 0 1 204.16 180.923 cm +1 0 0 1 204.881 180.923 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 180.724 Td [(spins)-333(|)-334(Insert)-333(a)-333(set)-334(of)-333(co)-28(e\016cien)28(ts)-334(in)28(to)-333(a)-333(sparse)-334(matrix)]TJ +/F44 9.9626 Tf 207.87 180.724 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-814(.)-500(.)-500(.)]TJ + [-842(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(82)]TJ + [-1500(81)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.9)-1022(psb)]TJ + -42.221 -12.08 Td [(6.8)-1050(psb)]TJ ET q -1 0 0 1 204.16 168.844 cm +1 0 0 1 204.881 168.844 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 168.644 Td [(spasb)-333(|)-334(Sparse)-333(matrix)-333(assem)27(bly)-333(routine)]TJ +/F44 9.9626 Tf 207.87 168.644 Td [(spins)-250(\227)-250(Insert)-250(a)-250(set)-250(of)-250(coef)18(\002cients)-250(into)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-853(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-625(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(85)]TJ + [-1500(82)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.079 Td [(6.10)-522(psb)]TJ + -42.221 -12.079 Td [(6.9)-1050(psb)]TJ ET q -1 0 0 1 204.16 156.764 cm +1 0 0 1 204.881 156.764 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 156.565 Td [(spfree)-333(|)-334(F)84(rees)-334(a)-333(sparse)-334(matri)1(x)]TJ +/F44 9.9626 Tf 207.87 156.565 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(r)18(outine)]TJ 0 g 0 G - [-482(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-611(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(87)]TJ + [-1500(85)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.11)-522(psb)]TJ + -42.221 -12.08 Td [(6.10)-550(psb)]TJ ET q -1 0 0 1 204.16 144.684 cm +1 0 0 1 204.881 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 144.485 Td [(sprn)-333(|)-334(Reinit)-333(sparse)-333(matrix)-334(structure)-333(for)-333(psblas)-333(routines.)]TJ +/F44 9.9626 Tf 207.87 144.485 Td [(spfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-1012(.)]TJ + [-520(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(88)]TJ + [-1500(87)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.08 Td [(6.12)-522(psb)]TJ + -42.221 -12.08 Td [(6.11)-550(psb)]TJ ET q -1 0 0 1 204.16 132.605 cm +1 0 0 1 204.881 132.605 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 132.405 Td [(geall)-333(|)-334(Allo)-27(cates)-334(a)-333(dense)-334(matrix)]TJ +/F44 9.9626 Tf 207.87 132.405 Td [(sprn)-250(\227)-250(Reinit)-250(sparse)-250(matrix)-250(str)8(uctur)18(e)-250(for)-250(psblas)-250(r)18(outines.)]TJ 0 g 0 G - [-320(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-725(.)]TJ 0 g 0 G - [-1084(89)]TJ + [-1500(88)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.079 Td [(6.13)-522(psb)]TJ + -42.221 -12.079 Td [(6.12)-550(psb)]TJ ET q -1 0 0 1 204.16 120.525 cm +1 0 0 1 204.881 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 207.149 120.326 Td [(geins)-333(|)-334(Dense)-333(matrix)-333(insertion)-334(routine)]TJ +/F44 9.9626 Tf 207.87 120.326 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G - [-656(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-330(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(90)]TJ + [-1500(89)]TJ 0 g 0 G 0 g 0 G - 112.644 -29.888 Td [(ii)]TJ + 111.791 -29.888 Td [(ii)]TJ 0 g 0 G ET endstream endobj -738 0 obj +741 0 obj << -/Length 17894 +/Length 18212 >> stream 0 g 0 G 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F8 9.9626 Tf 114.839 706.129 Td [(6.14)-522(psb)]TJ +/F44 9.9626 Tf 114.839 706.129 Td [(6.13)-550(psb)]TJ +ET +q +1 0 0 1 154.072 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F44 9.9626 Tf 157.061 706.129 Td [(geins)-250(\227)-250(Dense)-250(matrix)-250(insertion)-250(r)18(outine)]TJ +0 g 0 G + [-411(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +0 g 0 G + [-1500(90)]TJ +0 g 0 G +0 0 1 rg 0 0 1 RG + -42.222 -12.094 Td [(6.14)-550(psb)]TJ ET q -1 0 0 1 153.351 706.328 cm +1 0 0 1 154.072 694.234 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 706.129 Td [(geasb)-333(|)-334(Assem)28(bly)-333(a)-334(dense)-333(matrix)]TJ +/F44 9.9626 Tf 157.061 694.035 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G - [-559(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-376(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(92)]TJ + [-1500(92)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(6.15)-522(psb)]TJ + -42.222 -12.094 Td [(6.15)-550(psb)]TJ ET q -1 0 0 1 153.351 693.946 cm +1 0 0 1 154.072 682.14 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 693.747 Td [(gefree)-333(|)-334(F)84(rees)-334(a)-333(dense)-334(matrix)]TJ +/F44 9.9626 Tf 157.061 681.941 Td [(gefr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G - [-773(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-758(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(93)]TJ + [-1500(93)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(6.16)-522(psb)]TJ + -42.222 -12.095 Td [(6.16)-550(psb)]TJ ET q -1 0 0 1 153.351 681.564 cm +1 0 0 1 154.072 670.046 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 681.365 Td [(gelp)-333(|)-334(Applies)-333(a)-333(left)-334(p)-27(erm)27(utation)-333(to)-333(a)-334(dense)-333(matrix)]TJ +/F44 9.9626 Tf 157.061 669.846 Td [(gelp)-250(\227)-250(Applies)-250(a)-250(left)-250(permutation)-250(to)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G - [-317(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-801(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(94)]TJ + [-1500(94)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.383 Td [(6.17)-522(psb)]TJ + -42.222 -12.094 Td [(6.17)-550(psb)]TJ ET q -1 0 0 1 153.351 669.182 cm +1 0 0 1 154.072 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 668.982 Td [(glob)]TJ +/F44 9.9626 Tf 157.061 657.752 Td [(glob)]TJ ET q -1 0 0 1 175.202 669.182 cm +1 0 0 1 177.046 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 178.191 668.982 Td [(to)]TJ +/F44 9.9626 Tf 180.034 657.752 Td [(to)]TJ ET q -1 0 0 1 187.644 669.182 cm +1 0 0 1 189.319 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 190.633 668.982 Td [(lo)-28(c)-333(|)-333(G)-1(l)1(obal)-334(to)-333(lo)-28(cal)-333(indices)-334(con)28(v)28(ertion)]TJ +/F44 9.9626 Tf 192.308 657.752 Td [(loc)-250(\227)-250(Global)-250(to)-250(local)-250(indices)-250(convertion)]TJ 0 g 0 G - [-821(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-427(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(95)]TJ + [-1500(95)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -75.794 -12.382 Td [(6.18)-522(psb)]TJ + -77.469 -12.094 Td [(6.18)-550(psb)]TJ ET q -1 0 0 1 153.351 656.8 cm +1 0 0 1 154.072 645.857 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 656.6 Td [(lo)-28(c)]TJ +/F44 9.9626 Tf 157.061 645.658 Td [(loc)]TJ ET q -1 0 0 1 169.39 656.8 cm +1 0 0 1 170.42 645.857 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 172.379 656.6 Td [(to)]TJ +/F44 9.9626 Tf 173.409 645.658 Td [(to)]TJ ET q -1 0 0 1 181.833 656.8 cm +1 0 0 1 182.694 645.857 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.822 656.6 Td [(glob)-333(|)-334(Lo)-27(cal)-334(to)-333(global)-333(indices)-334(con)28(v)28(ersion)]TJ +/F44 9.9626 Tf 185.683 645.658 Td [(glob)-250(\227)-250(Local)-250(to)-250(global)-250(indices)-250(conversion)]TJ 0 g 0 G - [-753(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-966(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(97)]TJ + [-1500(97)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -69.983 -12.382 Td [(6.19)-522(psb)]TJ + -70.844 -12.094 Td [(6.19)-550(psb)]TJ ET q -1 0 0 1 153.351 644.417 cm +1 0 0 1 154.072 633.763 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 644.218 Td [(is)]TJ +/F44 9.9626 Tf 157.061 633.564 Td [(is)]TJ ET q -1 0 0 1 163.634 644.417 cm +1 0 0 1 164.782 633.763 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 166.623 644.218 Td [(o)28(wned)-334(|)]TJ +/F44 9.9626 Tf 167.771 633.564 Td [(owned)-250(\227)]TJ 0 g 0 G - [-1135(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1135(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(98)]TJ + [-1500(98)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -51.784 -12.382 Td [(6.20)-522(psb)]TJ + -52.932 -12.094 Td [(6.20)-550(psb)]TJ ET q -1 0 0 1 153.351 632.035 cm +1 0 0 1 154.072 621.669 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 631.836 Td [(o)28(wned)]TJ +/F44 9.9626 Tf 157.061 621.47 Td [(owned)]TJ ET q -1 0 0 1 184.334 632.035 cm +1 0 0 1 188.064 621.669 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 187.323 631.836 Td [(index)-333(|)]TJ +/F44 9.9626 Tf 191.053 621.47 Td [(index)-250(\227)]TJ 0 g 0 G - [-1002(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-871(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(99)]TJ + [-1500(99)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -72.484 -12.382 Td [(6.21)-522(psb)]TJ + -76.214 -12.095 Td [(6.21)-550(psb)]TJ ET q -1 0 0 1 153.351 619.653 cm +1 0 0 1 154.072 609.575 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 619.454 Td [(is)]TJ +/F44 9.9626 Tf 157.061 609.375 Td [(is)]TJ ET q -1 0 0 1 163.634 619.653 cm +1 0 0 1 164.782 609.575 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 166.623 619.454 Td [(lo)-28(cal)-333(|)]TJ +/F44 9.9626 Tf 167.771 609.375 Td [(local)-250(\227)]TJ 0 g 0 G - [-1080(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-615(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(100)]TJ + [-1000(100)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -51.784 -12.382 Td [(6.22)-522(psb)]TJ + -52.932 -12.094 Td [(6.22)-550(psb)]TJ ET q -1 0 0 1 153.351 607.271 cm +1 0 0 1 154.072 597.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 607.072 Td [(lo)-28(cal)]TJ +/F44 9.9626 Tf 157.061 597.281 Td [(local)]TJ ET q -1 0 0 1 177.139 607.271 cm +1 0 0 1 178.301 597.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 180.128 607.072 Td [(index)-333(|)]TJ +/F44 9.9626 Tf 181.29 597.281 Td [(index)-250(\227)]TJ 0 g 0 G - [-947(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1101(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(101)]TJ + [-1000(101)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -65.289 -12.382 Td [(6.23)-522(psb)]TJ + -66.451 -12.094 Td [(6.23)-550(psb)]TJ ET q -1 0 0 1 153.351 594.889 cm +1 0 0 1 154.072 585.386 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 594.69 Td [(get)]TJ +/F44 9.9626 Tf 157.061 585.187 Td [(get)]TJ ET q -1 0 0 1 170.221 594.889 cm +1 0 0 1 171.217 585.386 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 173.209 594.69 Td [(b)-28(oundary)-333(|)-333(Extract)-334(list)-333(of)-333(b)-28(oundary)-333(elemen)28(ts)]TJ +/F44 9.9626 Tf 174.206 585.187 Td [(boundary)-250(\227)-250(Extract)-250(list)-250(of)-250(boundary)-250(elements)]TJ 0 g 0 G - [-330(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-827(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(102)]TJ + [-1000(102)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -58.37 -12.382 Td [(6.24)-522(psb)]TJ + -59.367 -12.094 Td [(6.24)-550(psb)]TJ ET q -1 0 0 1 153.351 582.507 cm +1 0 0 1 154.072 573.292 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 582.307 Td [(get)]TJ +/F44 9.9626 Tf 157.061 573.093 Td [(get)]TJ ET q -1 0 0 1 170.221 582.507 cm +1 0 0 1 171.217 573.292 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 173.209 582.307 Td [(o)28(v)28(e)-1(r)1(lap)-334(|)-333(Extract)-333(list)-334(of)-333(o)28(v)28(erlap)-334(elemen)28(ts)]TJ +/F44 9.9626 Tf 174.206 573.093 Td [(overlap)-250(\227)-250(Extract)-250(list)-250(of)-250(overlap)-250(elements)]TJ 0 g 0 G - [-830(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ + [-515(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(103)]TJ + [-1000(103)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -58.37 -12.382 Td [(6.25)-522(psb)]TJ + -59.367 -12.094 Td [(6.25)-550(psb)]TJ ET q -1 0 0 1 153.351 570.125 cm +1 0 0 1 154.072 561.198 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 569.925 Td [(sp)]TJ +/F44 9.9626 Tf 157.061 560.999 Td [(sp)]TJ ET q -1 0 0 1 166.402 570.125 cm +1 0 0 1 167.87 561.198 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 169.39 569.925 Td [(getro)28(w)-334(|)-333(Extract)-333(ro)28(w\050s)-1(\051)-333(from)-333(a)-333(s)-1(p)1(arse)-334(matrix)]TJ +/F44 9.9626 Tf 170.859 560.999 Td [(getr)18(ow)-250(\227)-250(Extract)-250(r)18(ow\050s\051)-250(fr)18(om)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-810(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-671(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(104)]TJ + [-1000(104)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -54.551 -12.382 Td [(6.26)-522(psb)]TJ + -56.02 -12.094 Td [(6.26)-550(psb)]TJ ET q -1 0 0 1 153.351 557.742 cm +1 0 0 1 154.072 549.104 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 557.543 Td [(sizeof)-333(|)-334(Memory)-333(o)-28(ccupation)]TJ +/F44 9.9626 Tf 157.061 548.905 Td [(sizeof)-250(\227)-250(Memory)-250(occupation)]TJ 0 g 0 G - [-520(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-251(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(106)]TJ + [-1000(106)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(6.27)-522(Sorting)-333(utilities)-334(|)]TJ + -42.222 -12.095 Td [(6.27)-550(Sorting)-250(utilities)-250(\227)]TJ 0 g 0 G - [-775(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-1157(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(107)]TJ + [-1000(107)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -14.944 -22.629 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ +/F41 9.9626 Tf -14.944 -22.149 Td [(7)-1000(Parallel)-250(environment)-250(routines)]TJ 0 g 0 G - [-16316(109)]TJ + [-17835(109)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.382 Td [(7.1)-1022(psb)]TJ +/F44 9.9626 Tf 14.944 -12.094 Td [(7.1)-1050(psb)]TJ ET q -1 0 0 1 153.351 510.349 cm +1 0 0 1 154.072 502.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 510.15 Td [(init)-333(|)-334(Initializes)-333(PSBLAS)-333(parallel)-333(e)-1(n)28(vironmen)28(t)]TJ +/F44 9.9626 Tf 157.061 502.567 Td [(init)-250(\227)-250(Initializes)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G - [-920(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-766(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(110)]TJ + [-1000(110)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.383 Td [(7.2)-1022(psb)]TJ + -42.222 -12.095 Td [(7.2)-1050(psb)]TJ ET q -1 0 0 1 153.351 497.967 cm +1 0 0 1 154.072 490.672 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 497.767 Td [(info)-329(|)-328(Return)-329(information)-329(ab)-27(out)-329(PSBLAS)-329(parallel)-328(en)27(vir)1(on-)]TJ -18.586 -11.955 Td [(men)28(t)]TJ +/F44 9.9626 Tf 157.061 490.472 Td [(info)-264(\227)-264(Return)-264(information)-264(abou)1(t)-264(PSBLAS)-264(parallel)-264(envir)18(on-)]TJ -19.308 -11.955 Td [(ment)]TJ 0 g 0 G - [-478(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-930(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(111)]TJ + [-1000(111)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.382 Td [(7.3)-1022(psb)]TJ + -22.914 -12.094 Td [(7.3)-1050(psb)]TJ ET q -1 0 0 1 153.351 473.629 cm +1 0 0 1 154.072 466.622 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 473.43 Td [(exit)-333(|)-334(Exit)-333(from)-333(PSBLAS)-334(p)1(arallel)-334(en)28(vironmen)28(t)]TJ +/F44 9.9626 Tf 157.061 466.423 Td [(exit)-250(\227)-250(Exit)-250(fr)18(om)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G - [-742(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-823(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(112)]TJ + [-1000(112)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.4)-1022(psb)]TJ + -42.222 -12.094 Td [(7.4)-1050(psb)]TJ ET q -1 0 0 1 153.351 461.247 cm +1 0 0 1 154.072 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 461.048 Td [(get)]TJ +/F44 9.9626 Tf 157.061 454.329 Td [(get)]TJ ET q -1 0 0 1 170.221 461.247 cm +1 0 0 1 171.217 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 173.209 461.048 Td [(mpi)]TJ +/F44 9.9626 Tf 174.206 454.329 Td [(mpi)]TJ ET q -1 0 0 1 190.412 461.247 cm +1 0 0 1 192.487 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 193.4 461.048 Td [(comm)-334(|)-333(Get)-333(the)-334(MPI)-333(comm)28(unicator)]TJ +/F44 9.9626 Tf 195.476 454.329 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ 0 g 0 G - [-868(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-615(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(113)]TJ + [-1000(113)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -78.561 -12.382 Td [(7.5)-1022(psb)]TJ + -80.637 -12.094 Td [(7.5)-1050(psb)]TJ ET q -1 0 0 1 153.351 448.865 cm +1 0 0 1 154.072 442.434 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 448.666 Td [(get)]TJ +/F44 9.9626 Tf 157.061 442.235 Td [(get)]TJ ET q -1 0 0 1 170.221 448.865 cm +1 0 0 1 171.217 442.434 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 173.209 448.666 Td [(mpi)]TJ +/F44 9.9626 Tf 174.206 442.235 Td [(mpi)]TJ ET q -1 0 0 1 190.412 448.865 cm +1 0 0 1 192.487 442.434 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 193.4 448.666 Td [(rank)-333(|)-334(Get)-333(the)-333(MPI)-334(rank)]TJ +/F44 9.9626 Tf 195.476 442.235 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ 0 g 0 G - [-282(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-498(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(114)]TJ + [-1000(114)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -78.561 -12.382 Td [(7.6)-1022(psb)]TJ + -80.637 -12.094 Td [(7.6)-1050(psb)]TJ ET q -1 0 0 1 153.351 436.483 cm +1 0 0 1 154.072 430.34 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 436.284 Td [(wtime)-333(|)-334(W)84(all)-334(clo)-28(c)28(k)-333(timing)]TJ +/F44 9.9626 Tf 157.061 430.141 Td [(wtime)-250(\227)-250(W)92(all)-250(clock)-250(timing)]TJ 0 g 0 G - [-445(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(115)]TJ + [-1000(115)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.7)-1022(psb)]TJ + -42.222 -12.095 Td [(7.7)-1050(psb)]TJ ET q -1 0 0 1 153.351 424.101 cm +1 0 0 1 154.072 418.246 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 423.902 Td [(barrier)-333(|)-334(Sinc)28(hronization)-333(p)-28(oin)28(t)-333(parallel)-333(en)27(vironmen)28(t)]TJ +/F44 9.9626 Tf 157.061 418.046 Td [(barrier)-250(\227)-250(Sinchr)18(onization)-250(point)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G - [-845(.)-500(.)-500(.)-500(.)]TJ + [-903(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(116)]TJ + [-1000(116)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.383 Td [(7.8)-1022(psb)]TJ + -42.222 -12.094 Td [(7.8)-1050(psb)]TJ ET q -1 0 0 1 153.351 411.719 cm +1 0 0 1 154.072 406.151 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 411.519 Td [(ab)-28(ort)-333(|)-333(Ab)-28(ort)-333(a)-334(computation)]TJ +/F44 9.9626 Tf 157.061 405.952 Td [(abort)-250(\227)-250(Abort)-250(a)-250(computation)]TJ 0 g 0 G - [-717(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-946(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(117)]TJ + [-1000(117)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.9)-1022(psb)]TJ + -42.222 -12.094 Td [(7.9)-1050(psb)]TJ ET q -1 0 0 1 153.351 399.337 cm +1 0 0 1 154.072 394.057 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 399.137 Td [(b)-28(cast)-333(|)-334(Broadcast)-333(data)]TJ +/F44 9.9626 Tf 157.061 393.858 Td [(bcast)-250(\227)-250(Br)18(oadcast)-250(data)]TJ 0 g 0 G - [-278(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-739(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(118)]TJ + [-1000(118)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.10)-522(psb)]TJ + -42.222 -12.094 Td [(7.10)-550(psb)]TJ ET q -1 0 0 1 153.351 386.954 cm +1 0 0 1 154.072 381.963 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 386.755 Td [(sum)-333(|)-334(Global)-333(sum)]TJ +/F44 9.9626 Tf 157.061 381.764 Td [(sum)-250(\227)-250(Global)-250(sum)]TJ 0 g 0 G - [-900(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-998(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(119)]TJ + [-1000(119)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.11)-522(psb)]TJ + -42.222 -12.094 Td [(7.11)-550(psb)]TJ ET q -1 0 0 1 153.351 374.572 cm +1 0 0 1 154.072 369.869 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 374.373 Td [(max)-333(|)-334(Global)-333(maxim)28(um)]TJ +/F44 9.9626 Tf 157.061 369.67 Td [(max)-250(\227)-250(Global)-250(maximum)]TJ 0 g 0 G - [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-610(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(120)]TJ + [-1000(120)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.12)-522(psb)]TJ + -42.222 -12.095 Td [(7.12)-550(psb)]TJ ET q -1 0 0 1 153.351 362.19 cm +1 0 0 1 154.072 357.775 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 361.991 Td [(min)-333(|)-334(Global)-333(minim)28(um)]TJ +/F44 9.9626 Tf 157.061 357.575 Td [(min)-250(\227)-250(Global)-250(minimum)]TJ 0 g 0 G - [-994(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ + [-896(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(121)]TJ + [-1000(121)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.13)-522(psb)]TJ + -42.222 -12.094 Td [(7.13)-550(psb)]TJ ET q -1 0 0 1 153.351 349.808 cm +1 0 0 1 154.072 345.681 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 349.609 Td [(amx)-333(|)-334(Global)-333(maxim)28(um)-334(absolute)-333(v)56(alue)]TJ +/F44 9.9626 Tf 157.061 345.481 Td [(amx)-250(\227)-250(Global)-250(maximum)-250(absolute)-250(value)]TJ 0 g 0 G - [-294(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-700(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(122)]TJ + [-1000(122)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.382 Td [(7.14)-522(psb)]TJ + -42.222 -12.094 Td [(7.14)-550(psb)]TJ ET q -1 0 0 1 153.351 337.426 cm +1 0 0 1 154.072 333.586 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 337.227 Td [(amn)-333(|)-334(Global)-333(minim)28(um)-334(absolu)1(te)-334(v)56(alue)]TJ +/F44 9.9626 Tf 157.061 333.387 Td [(amn)-250(\227)-250(Global)-250(minimum)-250(absolute)-250(value)]TJ 0 g 0 G - [-461(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ + [-777(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(123)]TJ + [-1000(123)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -41.5 -12.383 Td [(7.15)-522(psb)]TJ + -42.222 -12.094 Td [(7.15)-550(psb)]TJ ET q -1 0 0 1 153.351 325.044 cm +1 0 0 1 154.072 321.492 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 156.339 324.844 Td [(nrm2)-333(|)-334(Global)-333(2-norm)-333(reduction)]TJ +/F44 9.9626 Tf 157.061 321.293 Td 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-11.955 Td [(a)-444(detailed)-444(discussion)-445(of)-444(our)-444(design)-444(see)-444([)]TJ + [(])-267(pr)18(o-)]TJ -14.944 -11.955 Td [(gramming)-278(language,)-284(with)-277(r)18(euse)-278(and/or)-278(adaptation)-277(of)-278(existing)-277(Fortran)-278(77)-277(and)]TJ 0 -11.955 Td [(Fortran)-250(95)-250(softwar)18(e,)-250(plus)-250(a)-250(handful)-250(of)-250(C)-250(r)18(outines.)]TJ 14.944 -12.064 Td [(The)-391(use)-392(of)-391(Fortran)-392(2003)-391(of)18(fers)-392(a)-391(number)-391(of)-392(advantages)-391(over)-392(Fortran)-391(95,)]TJ -14.944 -11.955 Td [(mostly)-385(in)-385(the)-385(handling)-385(of)-385(r)18(equir)18(ements)-385(for)-385(evolution)-385(and)-385(adaptation)-385(of)-385(the)]TJ 0 -11.956 Td [(library)-431(to)-432(new)-431(computing)-432(ar)18(chitectur)18(es)-431(and)-432(integration)-431(of)-432(new)-431(algorithms.)]TJ 0 -11.955 Td [(For)-365(a)-365(detail)1(ed)-365(discussion)-365(of)-365(our)-364(design)-365(see)-365([)]TJ 1 0 0 rg 1 0 0 RG [(11)]TJ 0 g 0 G - [(];)-500(other)-444(w)28(orks)-445(discussing)-444(adv)56(anced)]TJ 0 -11.955 Td [(programming)-278(in)-278(F)83(ortran)-278(2003)-278(include)-278([)]TJ + [(];)-422(other)-365(works)-364(discussing)-365(ad-)]TJ 0 -11.955 Td [(vanced)-213(pr)18(ogramming)-214(in)-213(Fortran)-213(2003)-213(include)-214([)]TJ 1 0 0 rg 1 0 0 RG [(1)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-278(18)]TJ + [-213(18)]TJ 0 g 0 G - [(];)-297(su\016cien)28(t)-278(supp)-28(ort)-278(for)-278(F)84(ortran)-278(2003)]TJ 0 -11.955 Td [(is)-249(no)28(w)-249(a)27(v)56(ailable)-249(from)-249(man)28(y)-250(compilers,)-266(in)1(c)-1(lu)1(ding)-249(the)-250(GNU)-249(F)84(ortran)-249(compiler)-249(from)]TJ 0 -11.955 Td [(the)-333(F)83(ree)-333(Soft)27(w)28(are)-333(F)83(oundation)-333(\050as)-333(of)-334(v)28(ersion)-333(4.8\051.)]TJ 14.944 -12.221 Td [(Previous)-270(approac)28(hes)-271(ha)28(v)28(e)-271(b)-27(een)-271(based)-270(on)-270(mixing)-271(F)84(ortran)-270(95,)-283(with)-271(its)-270(supp)-28(ort)]TJ -14.944 -11.955 Td [(for)-352(ob)-56(ject-based)-352(design,)-357(with)-352(other)-352(languages;)-362(these)-352(ha)27(v)28(e)-352(b)-28(een)-352(adv)28(o)-28(cated)-352(b)27(y)-352(a)]TJ 0 -11.956 Td [(n)28(um)28(b)-28(er)-423(of)-422(authors,)-445(e.g.)-423([)]TJ + [(];)-225(suf)18(\002cient)-214(support)-213(for)-213(For)18(-)]TJ 0 -11.955 Td [(tran)-315(2003)-314(is)-315(now)-314(available)-315(fr)18(om)-314(many)-315(compilers,)-331(including)-314(the)-315(GNU)-314(Fortran)]TJ 0 -11.955 Td [(compiler)-250(fr)18(om)-250(the)-250(Fr)18(ee)-250(Softwar)18(e)-250(Foundation)-250(\050as)-250(of)-250(version)-250(4.8\051.)]TJ 14.944 -12.064 Td [(Pr)18(evious)-311(appr)18(oaches)-312(have)-311(been)-311(based)-311(on)-312(mixing)-311(Fortran)-311(95,)-327(with)-311(its)-311(sup-)]TJ -14.944 -11.955 Td [(port)-249(for)-249(object-based)-249(design,)-249(with)-249(other)-249(languages;)-249(these)-249(have)-249(been)-249(advocated)]TJ 0 -11.956 Td [(by)-346(a)-346(number)-346(of)-347(authors,)-370(e.g.)-346([)]TJ 1 0 0 rg 1 0 0 RG [(16)]TJ 0 g 0 G - [(].)-712(Moreo)28(v)27(er,)-445(the)-422(F)83(ortran)-422(95)-423(facilities)-423(for)-422(dynamic)]TJ 0 -11.955 Td [(memory)-436(managemen)28(t)-435(and)-436(in)28(terface)-435(o)28(v)27(erloading)-435(greatly)-435(enhance)-436(the)-435(usabilit)28(y)]TJ 0 -11.955 Td [(of)-374(the)-374(PSBLAS)-374(subroutines.)-567(In)-374(this)-374(w)28(a)27(y)84(,)-385(the)-374(library)-374(can)-374(tak)28(e)-374(care)-375(of)-374(run)28(time)]TJ 0 -11.955 Td [(memory)-404(requiremen)28(ts)-403(that)-404(are)-403(quite)-404(di\016cult)-403(or)-404(ev)28(en)-404(imp)-27(os)-1(sibl)1(e)-404(to)-404(predi)1(c)-1(t)-403(at)]TJ 0 -11.955 Td [(implemen)28(tation)-334(or)-333(compilation)-333(time.)]TJ 14.944 -12.221 Td [(The)-301(presen)27(tation)-301(of)-301(the)-301(PSBLAS)-301(library)-301(follo)27(ws)-301(the)-301(general)-301(s)-1(tru)1(c)-1(t)1(ure)-302(of)-301(the)]TJ -14.944 -11.955 Td [(prop)-28(osal)-275(for)-275(serial)-275(Sparse)-275(BLAS)-275([)]TJ + [(].)-598(Mor)18(eover)74(,)-371(the)-346(Fortran)-346(95)-346(facilities)-346(for)-346(dy-)]TJ 0 -11.955 Td [(namic)-411(memory)-410(management)-411(and)-410(interface)-411(overloading)-410(gr)18(eatly)-411(enhance)-410(the)]TJ 0 -11.955 Td [(usability)-397(of)-398(the)-397(PSBLAS)-398(subr)18(outines.)-752(In)-398(this)-397(way)111(,)-434(the)-398(library)-397(can)-398(take)-397(car)18(e)]TJ 0 -11.955 Td [(of)-267(r)8(untime)-266(memory)-267(r)18(equir)18(ements)-266(that)-267(ar)18(e)-266(quite)-267(dif)18(\002cult)-267(or)-266(even)-267(impossible)-266(to)]TJ 0 -11.955 Td [(pr)18(edict)-250(at)-250(implementation)-250(or)-250(compilation)-250(time.)]TJ 14.944 -12.064 Td [(The)-249(pr)18(esentation)-250(of)-249(the)-250(PSBLAS)-249(library)-249(follows)-250(the)-249(general)-249(str)8(uctur)18(e)-250(of)-249(the)]TJ -14.944 -11.955 Td [(pr)18(oposal)-207(for)-206(serial)-207(Sparse)-207(BLAS)-207([)]TJ 1 0 0 rg 1 0 0 RG [(8)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-276(9)]TJ + [-206(9)]TJ 0 g 0 G - [(])1(,)-287(whic)28(h)-276(in)-275(its)-275(turn)-275(is)-275(based)-275(on)-275(the)-275(prop)-28(osal)]TJ 0 -11.956 Td [(for)-333(BLAS)-334(on)-333(dense)-333(matrices)-334([)]TJ + [(],)-216(which)-206(in)-207(its)-207(turn)-206(is)-207(based)-207(on)-207(t)1(he)-207(pr)18(oposal)]TJ 0 -11.956 Td [(for)-250(BLAS)-250(on)-250(dense)-250(matrices)-250([)]TJ 1 0 0 rg 1 0 0 RG [(15)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-333(5)]TJ + [-250(5)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-333(6)]TJ + [-250(6)]TJ 0 g 0 G - [(].)]TJ 14.944 -12.221 Td [(The)-403(applicabilit)28(y)-403(of)-403(sparse)-403(iterativ)28(e)-404(solv)28(ers)-403(to)-403(man)28(y)-403(di\013eren)28(t)-403(areas)-404(causes)]TJ -14.944 -11.955 Td [(some)-317(terminology)-316(problems)-316(b)-28(ecause)-317(th)1(e)-317(same)-316(conce)-1(p)1(t)-317(ma)28(y)-316(b)-28(e)-317(denoted)-316(through)]TJ 0 -11.955 Td [(di\013eren)28(t)-342(names)-342(dep)-28(ending)-342(on)-342(th)1(e)-342(application)-342(area.)-470(The)-342(PSBLAS)-342(features)-342(pre-)]TJ 0 -11.955 Td [(sen)28(ted)-450(in)-450(this)-450(do)-28(cumen)28(t)-450(will)-450(b)-28(e)-450(discussed)-450(referring)-450(to)-450(a)-450(\014nite)-450(di\013erence)-450(dis-)]TJ 0 -11.955 Td [(cretization)-329(of)-329(a)-330(P)28(artial)-329(Di\013eren)28(tial)-329(Equation)-329(\050PDE\051.)-330(Ho)28(w)28(ev)28(er,)-330(the)-330(scop)-27(e)-330(of)-329(the)]TJ 0 -11.955 Td [(library)-344(is)-345(wider)-345(than)-344(that:)-467(for)-345(example,)-347(it)-345(can)-344(b)-28(e)-345(applied)-344(to)-345(\014nite)-345(elemen)28(t)-345(di)1(s)-1(-)]TJ 0 -11.956 Td [(cretizations)-278(of)-278(PDEs,)-289(and)-278(ev)28(en)-278(to)-278(di\013eren)28(t)-278(c)-1(lasses)-278(of)-278(problems)-278(suc)28(h)-278(as)-278(nonlinear)]TJ 0 -11.955 Td [(optimization,)-333(for)-334(example)-333(in)-333(optimal)-333(c)-1(on)28(trol)-333(problems.)]TJ 14.944 -12.221 Td [(The)-489(design)-489(of)-489(a)-489(solv)27(er)-489(for)-489(sparse)-489(linear)-489(systems)-489(is)-489(driv)27(en)-489(b)28(y)-489(man)28(y)-489(con-)]TJ -14.944 -11.955 Td [(\015icting)-384(ob)-56(jectiv)28(es,)-398(suc)28(h)-384(as)-385(limiting)-384(o)-28(ccupation)-384(of)-385(storage)-384(res)-1(ou)1(rc)-1(es,)-397(exploiting)]TJ 0 -11.955 Td [(regularities)-433(in)-433(th)1(e)-433(input)-433(data,)-458(expl)1(oiting)-433(hardw)28(are)-433(c)28(haracteristics)-433(of)-433(the)-433(par-)]TJ 0 -11.955 Td [(allel)-370(platform.)-554(T)83(o)-370(ac)28(hiev)28(e)-370(an)-370(optimal)-370(comm)28(unication)-370(to)-370(computation)-370(rati)1(o)-370(on)]TJ 0 -11.955 Td [(distributed)-443(memory)-443(mac)28(hines)-443(it)-443(is)-443(essen)28(tial)-443(to)-443(k)28(eep)-443(the)]TJ/F17 9.9626 Tf 253.961 0 Td [(data)-459(lo)52(c)51(ality)]TJ/F8 9.9626 Tf 57.609 0 Td [(as)-443(high)]TJ -311.57 -11.956 Td [(as)-381(p)-27(os)-1(sibl)1(e)-1(;)-404(this)-381(can)-380(b)-28(e)-381(done)-380(through)-381(an)-380(appropriate)-381(data)-381(allo)-27(cation)-381(strategy)83(.)]TJ 0 -11.955 Td [(The)-389(c)28(hoice)-389(of)-389(the)-389(preconditioner)-389(is)-389(an)1(other)-389(v)27(ery)-388(imp)-28(ortan)28(t)-389(factor)-389(that)-389(a\013ects)]TJ 0 -11.955 Td [(e\016ciency)-415(of)-416(the)-415(implemen)28(ted)-415(application.)-691(Opti)1(m)-1(al)-415(data)-415(distribution)-415(require-)]TJ 0 -11.955 Td [(men)28(ts)-441(for)-441(a)-440(giv)27(en)-440(preconditioner)-441(ma)28(y)-441(con\015ict)-441(with)-440(distribution)-441(requiremen)28(ts)]TJ 0 -11.955 Td [(of)-427(the)-427(rest)-428(of)-427(the)-427(solv)28(er.)-726(Finding)-427(the)-428(optimal)-427(trade-o\013)-427(ma)28(y)-428(b)-27(e)-428(v)28(ery)-427(di\016cult)]TJ 0 -11.955 Td [(b)-28(ecause)-393(it)-393(is)-393(application)-393(dep)-28(enden)28(t.)-623(P)27(ossible)-393(solutions)-393(to)-393(these)-393(problems)-393(and)]TJ 0 -11.956 Td [(other)-430(imp)-28(ortan)28(t)-430(inputs)-430(to)-430(the)-430(dev)28(elopmen)28(t)-430(of)-430(the)-430(PSBLAS)-430(soft)28(w)27(are)-430(pac)28(k)56(age)]TJ + [(].)]TJ 14.944 -12.063 Td [(The)-297(applicability)-297(of)-298(sparse)-297(iterative)-297(solvers)-297(to)-297(many)-298(dif)18(fer)18(ent)-297(ar)18(eas)-297(causes)]TJ -14.944 -11.956 Td [(some)-190(terminology)-190(pr)18(oblems)-190(because)-190(the)-190(same)-190(concept)-190(may)-190(be)-190(denoted)-190(thr)18(ough)]TJ 0 -11.955 Td [(dif)18(fer)18(ent)-271(names)-271(depending)-272(on)-271(the)-271(application)-271(ar)18(ea.)-374(The)-271(PSBLAS)-271(featur)18(es)-271(pr)18(e-)]TJ 0 -11.955 Td [(sented)-332(in)-333(this)-332(document)-332(will)-333(be)-332(discussed)-332(r)18(eferring)-333(to)-332(a)-333(\002ni)1(te)-333(dif)18(fer)18(ence)-332(dis-)]TJ 0 -11.955 Td [(cr)18(etization)-284(of)-285(a)-284(Partial)-285(Dif)18(fer)18(ential)-284(Equation)-284(\050PDE\051.)-285(However)74(,)-293(the)-284(scope)-285(of)-284(the)]TJ 0 -11.955 Td [(library)-283(is)-283(wider)-283(than)-284(that:)-376(for)-283(example,)-291(it)-283(can)-284(be)-283(applied)-283(to)-283(\002nite)-283(element)-283(dis-)]TJ 0 -11.956 Td [(cr)18(etizations)-267(of)-267(PDEs,)-271(and)-267(even)-266(to)-267(dif)18(fer)18(ent)-267(classes)-267(of)-267(pr)18(oblems)-267(such)-266(as)-267(nonlin-)]TJ 0 -11.955 Td [(ear)-250(optimization,)-250(for)-250(example)-250(in)-250(optimal)-250(contr)18(ol)-250(pr)18(oblems.)]TJ 14.944 -12.064 Td [(The)-383(design)-383(of)-383(a)-383(solver)-383(for)-384(sparse)-383(linear)-383(systems)-383(is)-383(driven)-383(by)-383(many)-383(con-)]TJ -14.944 -11.955 Td [(\003icting)-271(objectives,)-277(such)-272(as)-271(limiting)-271(occupation)-272(of)-271(storage)-271(r)18(esour)18(ces,)-277(exploiting)]TJ 0 -11.955 Td [(r)18(egularities)-274(in)-274(the)-275(input)-274(data,)-280(exploiting)-274(har)18(dwar)18(e)-275(characteristi)1(cs)-275(of)-274(the)-274(paral-)]TJ 0 -11.955 Td [(lel)-350(platform.)-610(T)92(o)-350(achieve)-350(an)-350(optimal)-350(communication)-350(to)-350(computation)-350(ratio)-350(on)]TJ 0 -11.955 Td [(distributed)-379(memory)-378(machines)-379(it)-378(is)-379(essential)-379(to)-378(keep)-379(the)]TJ/F42 9.9626 Tf 256.501 0 Td [(data)-379(locality)]TJ/F44 9.9626 Tf 54.198 0 Td [(as)-379(high)]TJ -310.699 -11.956 Td [(as)-315(possible;)-346(this)-315(can)-314(be)-315(done)-315(thr)18(ough)-314(an)-315(appr)18(opriate)-314(data)-315(allocation)-314(strategy)111(.)]TJ 0 -11.955 Td [(The)-323(choice)-323(of)-324(the)-323(pr)18(econditioner)-323(is)-323(another)-323(very)-324(important)-323(factor)-323(that)-323(af)18(fects)]TJ 0 -11.955 Td [(ef)18(\002ciency)-300(of)-300(the)-300(im)1(plemented)-300(application.)-460(Optimal)-300(data)-299(distribution)-300(r)18(equir)18(e-)]TJ 0 -11.955 Td [(ments)-300(for)-299(a)-300(given)-300(pr)18(econditioner)-299(may)-300(con\003ict)-300(with)-300(distribution)-299(r)18(equir)18(ements)]TJ 0 -11.955 Td [(of)-356(the)-356(r)18(est)-356(of)-357(the)-356(solver)74(.)-628(Finding)-356(the)-357(o)1(ptimal)-357(trade-of)18(f)-356(may)-356(be)-356(very)-356(dif)18(\002cult)]TJ 0 -11.955 Td [(because)-292(it)-291(is)-292(application)-291(dependent.)-435(Possible)-292(solutions)-291(to)-292(these)-292(pr)18(oblems)-291(and)]TJ 0 -11.956 Td [(other)-342(important)-342(inputs)-342(to)-342(the)-342(development)-342(of)-341(the)-342(PSBLAS)-342(softwar)18(e)-342(package)]TJ 0 g 0 G - 169.365 -29.888 Td [(1)]TJ + 169.365 -29.887 Td [(1)]TJ 0 g 0 G ET endstream endobj -796 0 obj +798 0 obj << -/Length 5579 +/Length 5269 >> stream 0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 150.705 706.129 Td [(ha)28(v)28(e)-385(come)-385(from)-385(an)-385(established)-385(exp)-28(eri)1(e)-1(nce)-384(in)-385(applying)-385(the)-385(PSBLAS)-384(s)-1(olv)28(ers)-385(to)]TJ 0 -11.955 Td [(computational)-333(\015uid)-333(dynamics)-334(applications.)]TJ/F16 14.3462 Tf 0 -32.736 Td [(2)-1125(General)-375(o)31(v)32(erv)-1(iew)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-519(PSBLAS)-519(lib)1(rary)-519(is)-519(designed)-519(to)-519(handle)-519(the)-519(implemen)28(tation)-519(of)-519(iterativ)28(e)]TJ 0 -11.955 Td [(solv)28(ers)-502(f)1(or)-502(sparse)-501(linear)-501(systems)-502(on)-501(distributed)-501(memory)-501(parallel)-501(computers.)]TJ 0 -11.956 Td [(The)-430(system)-429(co)-28(e\016cien)27(t)-429(matrix)]TJ/F11 9.9626 Tf 136.257 0 Td [(A)]TJ/F8 9.9626 Tf 11.753 0 Td [(m)28(ust)-430(b)-28(e)-429(square;)-478(it)-430(ma)28(y)-429(b)-28(e)-430(real)-430(or)-429(complex,)]TJ -148.01 -11.955 Td 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[(Each)-400(point)-400(of)-400(the)-399(discr)18(etization)-400(mesh)-400(will)-400(have)-400(\050at)-400(least)1(\051)-400(one)-400(associated)]TJ -14.944 -11.955 Td [(equation/variable,)-416(and)-384(ther)18(efor)18(e)-383(one)-383(index.)-710(W)92(e)-383(say)-383(that)-384(point)]TJ/F42 9.9626 Tf 289.765 0 Td [(i)-403(depends)]TJ/F44 9.9626 Tf 42.709 0 Td [(on)]TJ -332.474 -11.955 Td [(point)]TJ/F42 9.9626 Tf 26.955 0 Td [(j)]TJ/F44 9.9626 Tf 6.004 0 Td [(if)-312(the)-312(equation)-312(for)-312(a)-312(variable)-313(associated)-312(with)]TJ/F42 9.9626 Tf 202.502 0 Td [(i)]TJ/F44 9.9626 Tf 6.074 0 Td [(contains)-312(a)-312(term)-312(in)]TJ/F42 9.9626 Tf 84.153 0 Td [(j)]TJ/F44 9.9626 Tf 2.894 0 Td [(,)-328(or)]TJ -328.582 -11.955 Td [(equivalently)-291(if)]TJ/F42 9.9626 Tf 67.321 0 Td [(a)]TJ/F42 7.5716 Tf 4.59 -1.96 Td [(i)-67(j)]TJ/F73 10.3811 Tf 8.967 1.96 Td [(6)]TJ/F75 10.3811 Tf 0.249 0 Td [(=)]TJ/F44 9.9626 Tf 11.726 0 Td [(0.)-434(After)-292(the)-291(partition)-292(of)-291(the)-292(discr)18(etization)-291(mesh)-292(into)]TJ/F42 9.9626 Tf 233.514 0 Td [(sub-)]TJ -326.367 -11.955 Td [(domains)]TJ/F44 9.9626 Tf 37.559 0 Td [(assigned)-381(to)-381(the)-381(parallel)-381(pr)18(ocesses,)-413(we)-381(classify)-381(the)-381(points)-381(of)-381(a)-381(given)]TJ -37.559 -11.955 Td [(sub-domain)-250(as)-250(following.)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -23.86 Td [(In)32(ternal.)]TJ +/F41 9.9626 Tf 0 -22.003 Td [(Internal.)]TJ 0 g 0 G -/F8 9.9626 Tf 48.097 0 Td [(An)-397(in)28(ternal)-397(p)-28(oin)28(t)-397(of)-397(a)-396(giv)27(en)-397(domain)]TJ/F17 9.9626 Tf 164.694 0 Td [(dep)51(ends)]TJ/F8 9.9626 Tf 37.561 0 Td [(only)-397(on)-397(p)-27(oin)27(ts)-397(of)-396(the)]TJ -225.445 -11.955 Td [(same)-288(domain.)-429(If)-289(al)1(l)-289(p)-27(oin)28(ts)-289(of)-288(a)-288(domain)-288(are)-288(assigned)-288(to)-288(one)-288(pro)-28(cess,)-297(then)-288(a)]TJ 0 -11.956 Td [(computational)-342(step)-342(\050e.g.,)-344(a)-342(matrix-v)28(ec)-1(tor)-342(pr)1(o)-28(duct\051)-342(of)-342(the)-342(equations)-342(asso-)]TJ 0 -11.955 Td [(ciated)-302(with)-303(t)1(he)-303(in)28(ternal)-302(p)-28(oin)28(ts)-302(requires)-303(no)-302(data)-302(items)-302(from)-303(other)-302(domains)]TJ 0 -11.955 Td [(and)-333(no)-334(comm)28(unications.)]TJ +/F44 9.9626 Tf 43.995 0 Td [(An)-359(internal)-359(poi)1(nt)-359(of)-359(a)-359(given)-359(domain)]TJ/F42 9.9626 Tf 168.65 0 Td [(depends)]TJ/F44 9.9626 Tf 35.684 0 Td [(only)-359(on)-359(points)-358(of)-359(the)]TJ -223.422 -11.955 Td [(same)-264(domain.)-351(If)-264(all)-264(points)-264(of)-264(a)-264(domain)-263(ar)18(e)-264(assigned)-264(to)-264(one)-264(pr)18(ocess,)-267(then)]TJ 0 -11.956 Td [(a)-196(computational)-196(step)-195(\050e.g.,)-207(a)-196(matrix-vector)-196(pr)18(oduct\051)-196(of)-195(the)-196(equations)-196(asso-)]TJ 0 -11.955 Td [(ciated)-214(with)-213(the)-214(internal)-214(points)-214(r)18(equir)18(es)-213(no)-214(data)-214(items)-214(fr)18(om)-213(other)-214(domains)]TJ 0 -11.955 Td [(and)-250(no)-250(communications.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -25.172 Td [(Boundary)96(.)]TJ +/F41 9.9626 Tf -24.907 -22.695 Td [(Boundary)92(.)]TJ 0 g 0 G -/F8 9.9626 Tf 56.517 0 Td [(A)-438(p)-28(oin)28(t)-438(of)-438(a)-438(giv)28(en)-439(domain)-438(is)-438(a)-438(b)-28(oundar)1(y)-439(p)-27(oin)28(t)-439(if)-438(it)]TJ/F17 9.9626 Tf 238.706 0 Td [(dep)51(ends)]TJ/F8 9.9626 Tf 37.972 0 Td [(on)]TJ -308.288 -11.955 Td [(p)-28(oin)28(ts)-333(b)-28(elonging)-333(to)-334(other)-333(domains.)]TJ +/F44 9.9626 Tf 51.397 0 Td [(A)-192(point)-191(of)-192(a)-192(given)-191(domain)-192(is)-192(a)-191(boundary)-192(point)-192(if)-191(it)]TJ/F42 9.9626 Tf 217.552 0 Td [(depends)]TJ/F44 9.9626 Tf 34.019 0 Td [(on)-192(points)]TJ -278.061 -11.955 Td [(belonging)-250(to)-250(other)-250(domains.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -25.172 Td [(Halo.)]TJ +/F41 9.9626 Tf -24.907 -22.696 Td [(Halo.)]TJ 0 g 0 G -/F8 9.9626 Tf 31.611 0 Td [(A)-462(halo)-462(p)-28(oin)28(t)-463(for)-462(a)-462(giv)27(en)-462(domain)-462(is)-463(a)-462(p)-28(oin)28(t)-462(b)-28(elonging)-462(to)-463(an)1(other)-463(do-)]TJ -6.704 -11.956 Td [(main)-313(s)-1(u)1(c)27(h)-313(that)-314(there)-313(is)-314(a)-313(b)-28(oundary)-313(p)-28(oin)28(t)-314(whic)28(h)]TJ/F17 9.9626 Tf 210.37 0 Td [(dep)51(ends)]TJ/F8 9.9626 Tf 37.548 0 Td [(on)-313(it.)-438(Whenev)28(er)]TJ -247.918 -11.955 Td [(p)-28(erforming)-444(a)-444(computational)-444(step,)-472(suc)28(h)-444(as)-444(a)-445(matrix-v)28(ector)-444(pro)-28(duct,)-472(th)1(e)]TJ 0 -11.955 Td [(v)56(alues)-383(asso)-28(ciated)-383(with)-383(halo)-383(p)-27(oin)27(ts)-383(ar)1(e)-383(requested)-383(from)-383(other)-383(domains.)-593(A)]TJ 0 -11.955 Td [(b)-28(oundary)-363(p)-28(oin)28(t)-363(of)-364(a)-363(giv)28(en)-364(domain)-363(is)-364(usually)-363(a)-364(halo)-363(p)-28(oin)28(t)-363(for)-364(some)-363(other)]TJ 0 -11.955 Td [(domain)]TJ +/F44 9.9626 Tf 29.609 0 Td [(A)-389(halo)-389(point)-389(for)-389(a)-389(given)-389(domain)-389(i)1(s)-389(a)-389(point)-389(belonging)-389(to)-389(another)-389(do-)]TJ -4.702 -11.955 Td [(main)-267(such)-267(that)-266(ther)18(e)-267(is)-267(a)-267(boundary)-267(point)-266(which)]TJ/F42 9.9626 Tf 212.474 0 Td [(depends)]TJ/F44 9.9626 Tf 34.767 0 Td [(on)-267(it.)-360(Whenever)]TJ -247.241 -11.955 Td [(performing)-360(a)-361(computational)-360(step,)-388(such)-361(as)-360(a)-361(matrix-vector)-360(pr)18(oduct,)-388(the)]TJ 0 -11.955 Td [(values)-274(associated)-273(with)-274(halo)-274(points)-274(ar)18(e)-274(r)18(equested)-273(fr)18(om)-274(other)-274(domains.)-381(A)]TJ 0 -11.955 Td [(boundary)-259(point)-258(of)-259(a)-258(given)-259(domain)-258(is)-259(usually)-258(a)-259(halo)-258(point)-259(for)-259(some)-258(other)]TJ 0 -11.956 Td [(domain)]TJ 0 0 1 rg 0 0 1 RG -/F7 6.9738 Tf 32.102 3.615 Td [(2)]TJ +/F44 7.5716 Tf 34.002 3.617 Td [(2)]TJ 0 g 0 G -/F8 9.9626 Tf 4.469 -3.615 Td [(;)-323(therefore)-319(the)-319(card)1(inalit)27(y)-318(of)-319(the)-318(b)-28(oundary)-318(p)-28(oin)28(ts)-319(set)-318(denotes)-319(the)]TJ -36.571 -11.955 Td [(amoun)28(t)-334(of)-333(data)-333(sen)28(t)-334(to)-333(other)-333(domains.)]TJ +/F44 9.9626 Tf 4.284 -3.617 Td [(;)-238(ther)18(efor)18(e)-232(the)-233(car)18(dinality)-232(of)-232(the)-232(boundary)-233(p)1(oints)-233(set)-232(denotes)-232(the)]TJ -38.286 -11.955 Td [(amount)-250(of)-250(data)-250(sent)-250(to)-250(other)-250(domains.)]TJ 0 g 0 G ET q -1 0 0 1 99.895 167.678 cm +1 0 0 1 99.895 168.389 cm []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F32 5.9776 Tf 110.987 161.036 Td [(1)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(In)-354(our)-354(protot)29(yp)-29(e)-354(imple)-1(men)30(tation)-354(w)29(e)-354(pro)30(vide)-354(sample)-355(scatter/ga)1(the)-1(r)-354(routines.)]TJ/F32 5.9776 Tf -4.151 -6.692 Td [(2)]TJ/F31 7.9701 Tf 4.151 -2.813 Td [(This)-320(is)-319(the)-320(nor)1(m)-1(a)1(l)-320(situation)-319(when)-320(the)-319(pattern)-320(of)-319(the)-320(sparse)-319(matrix)-320(is)-319(symmetric,)-327(whic)30(h)-320(is)]TJ -15.243 -9.464 Td [(equiv)59(alen)29(t)-266(to)-267(sa)30(y)-267(tha)1(t)-267(the)-267(in)30(teraction)-267(b)-29(et)29(w)30(een)-267(t)30(w)29(o)-266(v)59(ariables)-267(is)-266(recipro)-30(cal.)-443(If)-266(the)-267(matrix)-266(pattern)]TJ 0 -9.465 Td [(is)-256(non-symmetric)-255(w)29(e)-255(ma)29(y)-255(ha)29(v)30(e)-256(one-w)30(a)29(y)-255(in)29(teractions,)-275(and)-256(th)1(e)-1(se)-255(could)-256(cause)-255(a)-256(situation)-255(in)-256(whic)30(h)]TJ 0 -9.464 Td [(a)-354(b)-30(oundary)-354(p)-29(oin)29(t)-354(is)-354(not)-354(a)-354(halo)-354(p)-30(oin)30(t)-355(f)1(or)-355(its)-354(neigh)30(b)-30(our.)]TJ +/F44 5.9776 Tf 110.755 161.427 Td [(1)]TJ/F44 7.9701 Tf 3.487 -2.893 Td [(In)-250(our)-250(pr)18(ototype)-250(implementation)-250(we)-250(pr)18(ovide)-250(sample)-250(scatter/gather)-250(r)18(outines.)]TJ/F44 5.9776 Tf -3.487 -6.922 Td [(2)]TJ/F44 7.9701 Tf 3.487 -2.893 Td [(This)-401(is)-402(the)-401(normal)-402(situation)-401(when)-402(the)-401(pattern)-402(of)-401(the)-402(sparse)-401(matrix)-402(is)-401(symmetric,)-440(which)-401(is)]TJ -14.347 -9.464 Td [(equivalent)-358(to)-358(say)-358(that)-358(the)-357(interaction)-358(between)-358(two)-358(variables)-358(is)-358(r)18(ecipr)18(ocal.)-634(If)-357(the)-358(matrix)-358(pattern)]TJ 0 -9.465 Td [(is)-241(non-symmetric)-241(we)-242(may)-241(have)-241(one-way)-241(interactions,)-243(and)-241(these)-241(could)-241(cause)-242(a)-241(situation)-241(in)-241(which)-241(a)]TJ 0 -9.464 Td [(boundary)-250(point)-250(is)-250(not)-250(a)-250(halo)-250(point)-250(for)-250(its)-250(neighbour)74(.)]TJ 0 g 0 G 0 g 0 G -/F8 9.9626 Tf 169.365 -29.888 Td [(3)]TJ +/F44 9.9626 Tf 169.365 -29.888 Td [(3)]TJ 0 g 0 G ET endstream endobj -825 0 obj +823 0 obj << -/Length 5346 +/Length 4830 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 150.705 706.129 Td [(Ov)32(erlap.)]TJ +/F41 9.9626 Tf 150.705 706.129 Td [(Overlap.)]TJ 0 g 0 G -/F8 9.9626 Tf 47.585 0 Td [(An)-339(o)28(v)28(erlap)-339(p)-28(oin)28(t)-339(is)-339(a)-339(b)-28(oundary)-339(p)-28(oin)28(t)-339(assigned)-339(to)-339(m)28(ultiple)-339(domains.)]TJ -22.679 -11.955 Td [(An)28(y)-297(op)-28(eration)-296(that)-297(in)28(v)28(olv)27(es)-297(an)-296(o)28(v)27(erlap)-296(p)-28(oin)28(t)-297(has)-297(to)-297(b)-27(e)-297(replicated)-297(for)-296(e)-1(ac)28(h)]TJ 0 -11.955 Td [(assignmen)28(t.)]TJ -24.906 -19.428 Td [(Ov)28(erlap)-266(p)-27(oin)27(t)1(s)-266(do)-265(not)-266(usually)-265(exist)-266(in)-265(the)-266(basic)-265(data)-266(distrib)1(utions;)-288(ho)27(w)28(ev)28(er)-266(they)]TJ 0 -11.955 Td [(are)-347(a)-347(feature)-348(of)-347(Domain)-347(Decomp)-28(osition)-347(Sc)28(h)28(w)27(arz)-347(preconditioners)-347(whic)28(h)-347(are)-348(the)]TJ 0 -11.955 Td [(sub)-56(j)1(e)-1(ct)-333(of)-333(related)-333(re)-1(searc)28(h)-333(w)28(ork)-334([)]TJ +/F44 9.9626 Tf 44.553 0 Td [(An)-245(overlap)-244(point)-245(is)-245(a)-245(boundary)-244(point)-245(assigned)-245(to)-244(multiple)-245(domains.)]TJ -19.647 -11.955 Td [(Any)-204(operation)-204(that)-204(involves)-204(an)-204(overlap)-204(point)-204(has)-204(to)-204(be)-204(r)18(eplicated)-204(for)-204(each)]TJ 0 -11.955 Td [(assignment.)]TJ -24.906 -18.943 Td [(Overlap)-358(points)-359(do)-358(not)-358(usually)-359(exist)-358(in)-359(the)-358(basic)-358(data)-359(distributions;)-412(however)]TJ 0 -11.955 Td 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[(and)-317(the)-318(allo)-28(cation)-317(of)-317(the)-318(elemen)28(ts)-318(of)-317(the)-317(index)-318(space)-317(to)-318(the)-317(v)55(arious)-317(pro)-28(cesses)]TJ -9.142 -11.955 Td [(making)-333(up)-334(th)1(e)-334(MPI)-333(\050virtual\051)-333(parallel)-334(mac)28(hine.)]TJ 14.944 -12.245 Td [(The)-308(index)-309(space)-308(is)-309(parti)1(tioned)-309(among)-308(pro)-28(cesses,)-314(an)1(d)-309(this)-308(creates)-309(a)-308(mapping)]TJ -14.944 -11.955 Td [(from)-249(the)-249(\134global")-249(n)28(um)28(b)-28(ering)-249(1)]TJ/F11 9.9626 Tf 132.852 0 Td [(:)-167(:)-166(:)-167(n)]TJ/F8 9.9626 Tf 21.744 0 Td [(to)-249(a)-249(n)28(um)28(b)-28(ering)-249(\134lo)-28(cal")-249(to)-249(eac)28(h)-249(pro)-28(cess;)-277(eac)27(h)]TJ -154.596 -11.955 Td [(pro)-28(cess)]TJ/F11 9.9626 Tf 33.771 0 Td [(i)]TJ/F8 9.9626 Tf 5.794 0 Td [(will)-237(o)28(wn)-237(a)-237(certain)-237(subset)-237(1)]TJ/F11 9.9626 Tf 113.508 0 Td [(:)-167(:)-166(:)-167(n)]TJ/F8 9.9626 Tf 19.264 -1.494 Td [(ro)28(w)]TJ/F9 4.9813 Tf 15.801 -0.997 Td [(i)]TJ/F8 9.9626 Tf 3.655 2.491 Td [(,)-256(eac)27(h)-237(elemen)28(t)-237(of)-237(whic)28(h)-237(corresp)-28(onds)]TJ -191.793 -11.955 Td [(to)-390(a)-389(certain)-390(elemen)28(t)-390(of)-389(1)]TJ/F11 9.9626 Tf 111.313 0 Td [(:)-167(:)-166(:)-167(n)]TJ/F8 9.9626 Tf 19.264 0 Td [(.)-613(The)-390(user)-389(do)-28(es)-390(not)-389(s)-1(et)-389(explicitly)-390(this)-389(mapping;)]TJ -130.577 -11.955 Td [(when)-392(the)-393(appl)1(ic)-1(ati)1(on)-393(needs)-392(to)-392(indicate)-393(to)-392(whic)28(h)-392(e)-1(lemen)28(t)-392(of)-392(the)-393(index)-392(space)-392(a)]TJ 0 -11.955 Td [(certain)-273(item)-273(is)-273(related,)-285(suc)28(h)-273(as)-273(the)-273(ro)28(w)-273(and)-273(column)-273(index)-273(of)-273(a)-273(matrix)-273(co)-27(e\016c)-1(ien)28(t,)]TJ 0 -11.956 Td [(it)-449(do)-27(es)-449(so)-449(in)-448(the)-449(\134global")-449(n)28(um)28(b)-28(ering,)-477(and)-449(the)-448(library)-449(will)-448(translate)-449(in)28(to)-449(the)]TJ 0 -11.955 Td [(appropriate)-333(\134lo)-28(cal")-333(n)28(um)27(b)-27(ering.)]TJ 14.944 -12.244 Td [(F)83(or)-273(a)-274(giv)28(en)-274(index)-274(space)-273(1)]TJ/F11 9.9626 Tf 109.331 0 Td [(:)-167(:)-166(:)-167(n)]TJ/F8 9.9626 Tf 21.99 0 Td [(there)-274(are)-273(m)-1(an)28(y)-273(p)-28(ossible)-274(asso)-28(ciated)-274(top)-27(ologies,)]TJ -146.265 -11.955 Td [(i.e.)-418(man)28(y)-254(di\013eren)27(t)-254(discretization)-254(stencils;)-281(th)28(us)-254(the)-254(description)-254(of)-254(the)-254(index)-255(space)]TJ 0 -11.956 Td [(is)-355(not)-355(completed)-355(un)28(til)-356(th)1(e)-356(user)-355(has)-355(de\014ned)-355(a)-355(sparsit)28(y)-355(pattern,)-361(either)-355(explicitly)]TJ 0 -11.955 Td [(through)]TJ/F30 9.9626 Tf 36.93 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf 49.66 0 Td [(or)-260(implicitly)-259(through)]TJ/F30 9.9626 Tf 92.223 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 47.073 0 Td [(.)-420(The)-260(descriptor)-259(is)-260(\014nalized)]TJ -225.886 -11.955 Td [(with)-354(a)-355(call)-354(to)]TJ/F30 9.9626 Tf 62.274 0 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 50.603 0 Td [(and)-354(a)-355(sparse)-354(matrix)-354(with)-355(a)-354(call)-354(to)]TJ/F30 9.9626 Tf 153.217 0 Td [(psb_spasb)]TJ/F8 9.9626 Tf 47.073 0 Td [(.)-507(After)]TJ/F30 9.9626 Tf -313.167 -11.955 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 50.443 0 Td [(eac)28(h)-338(pro)-28(cess)]TJ/F11 9.9626 Tf 57.244 0 Td [(i)]TJ/F8 9.9626 Tf 6.802 0 Td [(will)-338(ha)28(v)27(e)-338(de\014ned)-338(a)-338(set)-339(of)-338(\134halo")-338(\050or)-338(\134ghost"\051)-339(i)1(ndices)]TJ/F11 9.9626 Tf -114.489 -11.955 Td [(n)]TJ/F8 9.9626 Tf 5.98 -1.495 Td [(ro)28(w)]TJ/F9 4.9813 Tf 15.802 -0.996 Td [(i)]TJ/F8 9.9626 Tf 5.985 2.491 Td [(+)-234(1)]TJ/F11 9.9626 Tf 16.722 0 Td [(:)-167(:)-166(:)-167(n)]TJ/F8 9.9626 Tf 19.263 -3.487 Td [(col)]TJ/F9 4.9813 Tf 12.176 -0.996 Td [(i)]TJ/F8 9.9626 Tf 3.655 4.483 Td [(,)-355(denoting)-351(elemen)27(ts)-351(of)-351(th)1(e)-351(index)-351(space)-351(that)-351(are)]TJ/F17 9.9626 Tf 209.596 0 Td [(not)]TJ/F8 9.9626 Tf 18.445 0 Td [(assigned)]TJ -307.624 -11.955 Td [(to)-284(pro)-28(cess)]TJ/F11 9.9626 Tf 45.92 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(;)-300(ho)28(w)27(ev)28(er)-284(the)-284(v)56(ariables)-284(asso)-28(ciated)-283(with)-284(them)-284(are)-284(needed)-284(to)-283(c)-1(omplete)]TJ -49.353 -11.956 Td [(computations)-409(a)-1(sso)-27(ciated)-410(with)-409(the)-410(sparse)-409(m)-1(atr)1(ix)]TJ/F11 9.9626 Tf 216.316 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)-429(an)1(d)-410(th)28(us)-410(they)-409(ha)28(v)27(e)-409(to)-410(b)-27(e)]TJ -223.788 -11.955 Td [(fetc)28(hed)-464(from)-464(\050)1(neigh)27(b)-27(ouring\051)-464(pro)-28(cesses.)-835(The)-464(descriptor)-464(of)-463(the)-464(index)-463(space)-464(is)]TJ 0 -11.955 Td [(built)-394(exactly)-394(for)-393(the)-394(purp)-28(ose)-394(of)-394(prop)-27(e)-1(r)1(ly)-394(sequencing)-394(the)-394(comm)28(unication)-394(steps)]TJ 0 -11.955 Td [(required)-333(to)-334(ac)28(hiev)28(e)-333(this)-334(ob)-55(jectiv)28(e)-1(.)]TJ 14.944 -12.245 Td [(A)-306(simple)-306(application)-305(structure)-306(will)-306(w)28(alk)-306(through)-306(the)-306(in)1(dex)-306(space)-306(allo)-28(cation,)]TJ -14.944 -11.955 Td [(matrix/v)28(ector)-334(creation)-333(and)-333(linear)-333(syste)-1(m)-333(solution)-333(as)-334(f)1(o)-1(l)1(lo)27(ws:)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(2.3)-1000(Application)-250(structure)]TJ/F44 9.9626 Tf 0 -19.381 Td [(The)-244(main)-244(underlyi)1(ng)-244(principle)-244(of)-244(the)-244(PSBLAS)-243(library)-244(is)-244(that)-244(the)-243(library)-244(objects)]TJ 0 -11.956 Td [(ar)18(e)-236(cr)18(eated)-235(and)-236(exist)-235(with)-236(r)18(efer)18(ence)-235(to)-236(a)-235(discr)18(etized)-236(space)-236(t)1(o)-236(which)-236(ther)18(e)-235(corr)18(e-)]TJ 0 -11.955 Td [(sponds)-258(an)-257(index)-258(space)-257(and)-258(a)-258(matrix)-257(sparsity)-258(pattern.)-332(As)-258(an)-258(example,)-259(consider)]TJ 0 -11.955 Td [(a)-310(cell-center)18(ed)-309(\002nite-volume)-310(discr)18(etization)-310(of)-309(the)-310(Navier)18(-Stokes)-310(e)1(quations)-310(on)]TJ 0 -11.955 Td [(a)-234(simulation)-235(domain;)-239(the)-234(index)-235(space)-234(1)-179(.)-192(.)-192(.)]TJ/F42 9.9626 Tf 185.595 0 Td [(n)]TJ/F44 9.9626 Tf 7.998 0 Td [(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F49 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F44 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F42 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F44 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F42 9.9626 Tf 176.584 0 Td [(n)]TJ/F44 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F42 9.9626 Tf 79.682 0 Td [(i)]TJ/F44 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F42 9.9626 Tf 130.532 0 Td [(n)]TJ/F44 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F42 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F44 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F42 9.9626 Tf 177.035 0 Td [(n)]TJ/F44 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F42 9.9626 Tf 129.74 0 Td [(n)]TJ/F44 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F49 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F44 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F49 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F44 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F49 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F44 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F49 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F44 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F49 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F44 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F42 9.9626 Tf 59.13 0 Td [(i)]TJ/F44 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F42 9.9626 Tf 34.731 0 Td [(n)]TJ/F44 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F42 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F75 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F44 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F42 9.9626 Tf 19.967 0 Td [(n)]TJ/F44 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F42 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F44 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F42 9.9626 Tf 215.582 0 Td [(not)]TJ/F44 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F42 9.9626 Tf 88.744 0 Td [(i)]TJ/F44 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F42 9.9626 Tf 269.662 0 Td [(A)]TJ/F44 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td 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w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 145.969 413.879 Td [(Kind)-409(parameter)-409(for)-409(\134global")-409(in)28(teger)-409(indices)-410(and)-409(data;)-447(with)-409(defaul)1(t)]TJ -21.167 -11.955 Td [(build)-333(options)-333(this)-334(is)-333(an)-333(8)-334(b)28(ytes)-333(in)28(te)-1(ger;)]TJ -24.907 -20.754 Td [(The)-378(in)27(teger)-378(kinds)-378(for)-379(lo)-28(cal)-378(and)-378(global)-379(indices)-378(can)-379(b)-27(e)-379(c)28(hosen)-378(at)-379(con\014gure)-378(time)]TJ 0 -11.955 Td [(to)-352(hold)-352(4)-352(or)-352(8)-352(b)28(ytes,)-357(with)-352(the)-352(global)-352(indices)-352(at)-352(least)-352(as)-352(large)-352(as)-352(the)-352(lo)-28(cal)-352(ones.)]TJ 0 -11.955 Td [(T)83(ogether)-311(with)-311(the)-311(classes)-311(attributes)-311(w)28(e)-311(also)-311(discuss)-311(their)-311(metho)-28(ds.)-437(Most)-311(meth-)]TJ 0 -11.955 Td 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[-500(For)-411(a)-412(given)-411(set)-412(of)-411(local)-411(indices,)-452(\002nd)-412(the)-411(corr)18(esponding)-411(indices)-412(in)-411(the)]TJ 11.018 -11.955 Td [(global)-250(numbering;)]TJ 0 g 0 G -/F14 9.9626 Tf -9.962 -20.408 Td [(\017)]TJ + -11.018 -20.408 Td [(\225)]TJ 0 g 0 G -/F8 9.9626 Tf 9.962 0 Td [(F)83(or)-271(a)-271(giv)28(en)-272(set)-271(of)-271(global)-271(indices,)-284(\014nd)-271(the)-271(c)-1(or)1(re)-1(sp)-27(onding)-271(indices)-272(in)-271(the)-271(lo)-28(cal)]TJ 0 -11.955 Td [(n)28(um)28(b)-28(ering,)-333(if)-334(an)28(y)83(,)-333(or)-333(return)-333(an)-334(in)28(v)56(alid)]TJ + [-500(For)-357(a)-357(given)-357(set)-357(of)-358(global)-357(indices,)-384(\002nd)-357(the)-357(corr)18(esponding)-357(indices)-357(in)-357(the)]TJ 11.018 -11.955 Td [(local)-250(numbering,)-250(if)-250(any)111(,)-250(or)-250(r)18(eturn)-250(an)-250(invalid)]TJ 0 g 0 G -/F14 9.9626 Tf -9.962 -20.409 Td [(\017)]TJ + -11.018 -20.409 Td [(\225)]TJ 0 g 0 G -/F8 9.9626 Tf 9.962 0 Td [(Add)-333(a)-334(global)-333(index)-333(to)-333(the)-334(set)-333(of)-334(h)1(alo)-334(indices;)]TJ + [-500(Add)-250(a)-250(global)-250(index)-250(to)-250(the)-250(set)-250(of)-250(halo)-250(indices;)]TJ 0 g 0 G -/F14 9.9626 Tf -9.962 -20.408 Td [(\017)]TJ + 0 -20.408 Td [(\225)]TJ 0 g 0 G -/F8 9.9626 Tf 9.962 0 Td [(Find)-333(the)-334(pro)-27(cess)-334(o)28(wner)-333(of)-334(eac)28(h)-333(mem)27(b)-27(er)-334(of)-333(a)-333(set)-334(of)-333(global)-333(indices.)]TJ -24.906 -20.288 Td [(All)-355(metho)-28(ds)-355(but)-355(the)-355(last)-355(are)-355(purely)-355(lo)-28(cal;)-366(the)-355(last)-355(metho)-28(d)-355(p)-28(oten)28(tially)-355(requires)]TJ 0 -11.955 Td [(comm)28(unication)-259(among)-258(pro)-28(cesses,)-274(and)-258(th)28(us)-259(is)-258(a)-259(sync)28(hronous)-259(metho)-27(d.)-420(The)-258(c)27(hoice)]TJ 0 -11.955 Td 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[(scriptor)-210(is)-211(init)1(ially)-211(allocated,)-218(accor)18(ding)-210(to)-211(t)1(he)-211(mode)-210(of)-210(initialization)-211(\050see)-210(also)]TJ 0 0 1 rg 0 0 1 RG - [-333(6)]TJ + [-210(6)]TJ 0 g 0 G - [(\051.)]TJ 14.944 -12.076 Td [(The)-333(descriptor)-334(con)28(ten)28(ts)-333(are)-334(as)-333(follo)28(ws:)]TJ + [(\051.)]TJ 14.944 -12.076 Td [(The)-250(descriptor)-250(contents)-250(ar)18(e)-250(as)-250(follows:)]TJ 0 g 0 G -/F27 9.9626 Tf -14.944 -20.288 Td [(indxmap)]TJ +/F41 9.9626 Tf -14.944 -20.288 Td [(indxmap)]TJ 0 g 0 G -/F8 9.9626 Tf 48.422 0 Td [(A)-222(p)-28(olymorphic)-222(v)56(ariable)-223(of)-222(a)-222(t)28(yp)-28(e)-222(that)-222(is)-223(an)28(y)-222(extension)-222(of)-222(the)-223(indx)]TJ +/F44 9.9626 Tf 45.38 0 Td [(A)-190(polymorphic)-190(variable)-190(of)-190(a)-190(type)-190(that)-190(is)-190(any)-190(extension)-190(of)-190(the)-190(indx)]TJ ET q -1 0 0 1 476.354 370.98 cm +1 0 0 1 478.491 370.98 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 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[(The)-390(n)28(um)27(b)-27(er)-391(of)-390(global)-390(ro)28(ws,)-405(i.e.)-615(the)-390(size)-391(of)-390(the)-390(global)-390(index)]TJ -53.48 -11.955 Td [(space.)]TJ +/F44 9.9626 Tf 72.777 0 Td [(The)-351(number)-351(of)-350(global)-351(r)18(ows,)-376(i.e.)-613(the)-351(size)-351(of)-350(the)-351(global)-351(index)]TJ -47.87 -11.955 Td [(space.)]TJ 0 g 0 G - 141.968 -29.888 Td [(12)]TJ + 141.967 -29.888 Td [(12)]TJ 0 g 0 G ET endstream endobj -927 0 obj +925 0 obj << -/Length 4435 +/Length 4367 >> stream 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(3.1.5)-1150(get)]TJ +/F41 9.9626 Tf 99.895 706.129 Td [(3.1.5)-1000(get)]TJ ET q -1 0 0 1 151.025 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 144.219 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 154.462 706.129 Td [(global)]TJ +/F41 9.9626 Tf 147.208 706.129 Td [(global)]TJ ET q -1 0 0 1 184.906 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 176.587 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 188.343 706.129 Td [(cols)-383(|)-384(Get)-383(n)32(um)32(b)-32(er)-383(of)-384(global)-383(cols)]TJ +/F41 9.9626 Tf 179.576 706.129 Td [(cols)-250(\227)-250(Get)-250(number)-250(of)-250(global)-250(cols)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -88.448 -18.505 Td [(nr)-525(=)-525(desc%get_global_cols\050\051)]TJ +/F49 9.9626 Tf -79.681 -18.974 Td [(nr)-525(=)-525(desc%get_global_cols\050\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -22.105 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.935 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -20.175 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.947 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -20.174 Td [(desc)]TJ + 0 -19.947 Td [(desc)]TJ 0 g 0 G -/F8 9.9626 Tf 26.209 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -1.302 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td 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[(\050optional\051)-333(A)-334(cop)28(y)-333(of)-333(the)-334(lo)28(w)28(er)-334(tr)1(iangle)-334(of)]TJ/F30 9.9626 Tf 182.981 0 Td [(a)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ -171.468 -11.955 Td [(A)-333(v)55(ariable)-333(of)-333(t)27(yp)-27(e)]TJ/F30 9.9626 Tf 81.943 0 Td [(psb_Tspmat_type)]TJ/F8 9.9626 Tf 78.455 0 Td [(.)]TJ +/F41 9.9626 Tf -184.985 -18.75 Td [(l)]TJ 0 g 0 G -/F27 9.9626 Tf -185.305 -18.824 Td [(info)]TJ +/F44 9.9626 Tf 8.299 0 Td [(\050optional\051)-250(A)-250(copy)-250(of)-250(the)-250(lower)-250(triangle)-250(of)]TJ/F49 9.9626 Tf 183.151 0 Td [(a)]TJ/F44 9.9626 Tf 5.23 0 Td [(.)]TJ -171.773 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F49 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F44 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Return)-333(co)-28(de.)]TJ +/F41 9.9626 Tf -184.985 -18.75 Td [(info)]TJ 0 g 0 G - 143.117 -29.888 Td [(23)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ +0 g 0 G + 143.074 -29.888 Td [(23)]TJ 0 g 0 G ET endstream endobj -985 0 obj +983 0 obj << -/Length 7723 +/Length 7619 >> stream 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 150.705 706.129 Td [(3.2.17)-1150(psb)]TJ +/F41 9.9626 Tf 150.705 706.129 Td [(3.2.17)-1000(psb)]TJ ET q -1 0 0 1 209.377 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 202.769 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 212.814 706.129 Td [(set)]TJ +/F41 9.9626 Tf 205.758 706.129 Td [(set)]TJ ET q -1 0 0 1 227.727 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 219.078 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 231.165 706.129 Td [(mat)]TJ +/F41 9.9626 Tf 222.067 706.129 Td [(mat)]TJ ET q -1 0 0 1 251.424 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 239.82 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 254.861 706.129 Td [(default)-383(|)-384(Set)-383(default)-383(storage)-384(format)]TJ +/F41 9.9626 Tf 242.809 706.129 Td 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213.808 340.863 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 225.886 340.204 Td [(Duplicate)-333(co)-28(e\016cien)28(ts)-334(should)-333(b)-28(e)-333(added;)]TJ +/F44 9.9626 Tf 221.778 340.664 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(be)-250(added;)]TJ 0 g 0 G -/F27 9.9626 Tf -75.181 -19.532 Td [(psb)]TJ +/F41 9.9626 Tf -71.073 -19.232 Td [(psb)]TJ ET q -1 0 0 1 168.641 320.871 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 167.9 321.632 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 172.078 320.672 Td [(dupl)]TJ +/F41 9.9626 Tf 170.889 321.432 Td [(dupl)]TJ ET q -1 0 0 1 195.043 320.871 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 193.066 321.632 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 198.48 320.672 Td [(err)]TJ +/F41 9.9626 Tf 196.055 321.432 Td [(err)]TJ ET q -1 0 0 1 213.856 320.871 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 209.384 321.632 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F8 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[(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ + -56.338 -35.873 Td [(alpha)]TJ +0 g 0 G +/F44 9.9626 Tf 30.436 0 Td [(A)-250(scalar)-250(value.)]TJ -5.53 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(1)]TJ + [-250(1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -24.104 Td [(\014rst,last)]TJ +/F41 9.9626 Tf -24.906 -23.918 Td [(\002rst,last)]TJ 0 g 0 G -/F8 9.9626 Tf 45.948 0 Td [(Boundaries)-333(for)-334(setting)-333(in)-333(the)-334(v)28(ector.)]TJ -21.042 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(in)28(tegers.)]TJ +/F44 9.9626 Tf 41.215 0 Td [(Boundaries)-250(for)-250(setting)-250(in)-250(the)-250(vector)74(.)]TJ -16.309 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(optional)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(integers.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -24.104 Td [(v)32(ect)]TJ +/F41 9.9626 Tf -24.906 -23.918 Td [(vect)]TJ 0 g 0 G -/F8 9.9626 Tf 25.508 0 Td [(An)-333(arra)28(y)]TJ -0.602 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +/F44 9.9626 Tf 23.242 0 Td [(An)-250(array)]TJ 1.664 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(1)]TJ + [-250(1)]TJ 0 g 0 G - [(.)]TJ -24.906 -26.095 Td [(Note)-391(that)-392(a)-391(call)-392(to)]TJ/F30 9.9626 Tf 87.299 0 Td [(v%zero\050\051)]TJ/F8 9.9626 Tf 45.742 0 Td [(is)-391(pro)27(vided)-391(as)-391(a)-392(shorthand,)-406(but)-391(is)-391(e)-1(q)1(uiv)55(alen)28(t)-391(to)]TJ -133.041 -11.956 Td [(a)-320(call)-319(to)]TJ/F30 9.9626 Tf 38.335 0 Td [(v%set\050zero\051)]TJ/F8 9.9626 Tf 60.719 0 Td [(with)-320(the)]TJ/F30 9.9626 Tf 39.578 0 Td [(zero)]TJ/F8 9.9626 Tf 24.107 0 Td [(constan)28(t)-320(ha)28(ving)-320(the)-319(appropriate)-320(t)28(yp)-28(e)-320(an)1(d)]TJ -162.739 -11.955 Td [(kind.)]TJ + [(.)]TJ -24.906 -25.91 Td [(Note)-336(that)-336(a)-335(call)-336(to)]TJ/F49 9.9626 Tf 84.614 0 Td [(v%zero\050\051)]TJ/F44 9.9626 Tf 45.189 0 Td [(is)-336(pr)18(ovided)-336(as)-335(a)-336(shorthand,)-358(but)-335(is)-336(equivalent)-336(to)]TJ -129.803 -11.956 Td [(a)-270(call)-270(to)]TJ/F49 9.9626 Tf 36.947 0 Td [(v%set\050zero\051)]TJ/F44 9.9626 Tf 60.225 0 Td [(with)-270(the)]TJ/F49 9.9626 Tf 39.456 0 Td [(zero)]TJ/F44 9.9626 Tf 23.613 0 Td [(constant)-270(having)-270(the)-271(appr)18(opriat)1(e)-271(type)-270(and)]TJ -160.241 -11.955 Td [(kind.)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -26.096 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf 0 -25.91 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -24.103 Td [(v)]TJ + 0 -23.918 Td [(v)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(dense)-334(v)28(ector,)-333(with)-334(up)-27(dated)-334(en)28(tries)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ +/F44 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)74(,)-250(with)-250(updated)-250(entries)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -/F8 9.9626 Tf 109.589 -41.843 Td [(26)]TJ +/F44 9.9626 Tf 110.536 -41.843 Td [(26)]TJ 0 g 0 G ET endstream endobj -1005 0 obj +1003 0 obj << -/Length 4654 +/Length 4464 >> stream 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(3.3.5)-1150(get)]TJ +/F41 9.9626 Tf 99.895 706.129 Td [(3.3.5)-1000(get)]TJ ET q -1 0 0 1 151.025 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 144.219 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 154.462 706.129 Td [(v)32(ect)-383(|)-384(Get)-383(a)-383(cop)31(y)-383(of)-383(the)-384(v)32(ector)-383(con)32(ten)32(ts)]TJ +/F41 9.9626 Tf 147.208 706.129 Td [(vect)-250(\227)-250(Get)-250(a)-250(copy)-250(of)-250(the)-250(vector)-250(contents)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -54.567 -19.197 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ +/F49 9.9626 Tf -47.313 -19.66 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -23.219 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -22.994 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.66 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -21.362 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -21.66 Td [(v)]TJ + 0 -21.361 Td [(v)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(dense)-334(v)28(ector)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ +/F44 9.9626 Tf 10.521 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G - -57.286 -33.615 Td [(n)]TJ + -56.339 -33.316 Td [(n)]TJ 0 g 0 G -/F8 9.9626 Tf 11.347 0 Td [(Size)-333(to)-334(b)-27(e)-334(returned)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(;)-333(default:)-445(en)28(tire)-333(v)28(ector.)]TJ +/F44 9.9626 Tf 11.069 0 Td [(Size)-250(to)-250(be)-250(r)18(eturned)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf 38.187 0 Td [(;)-250(default:)-310(entir)18(e)-250(vector)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -95.095 -35.174 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -90.182 -34.95 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -21.66 Td [(F)96(unction)-384(v)64(alue)]TJ + 0 -21.361 Td [(Function)-250(value)]TJ 0 g 0 G -/F8 9.9626 Tf 78.387 0 Td [(An)-353(allo)-28(catable)-354(arra)28(y)-353(holding)-354(a)-353(cop)28(y)-354(of)-353(the)-354(dense)-353(v)28(ector)-354(con-)]TJ -53.48 -11.956 Td [(ten)28(ts.)-440(If)-319(the)-320(argumen)28(t)]TJ/F11 9.9626 Tf 99.799 0 Td [(n)]TJ/F8 9.9626 Tf 9.161 0 Td [(is)-319(sp)-28(eci\014ed,)-322(the)-320(size)-319(of)-319(the)-320(returned)-319(arra)28(y)-319(e)-1(qu)1(als)]TJ -108.96 -11.955 Td [(the)-401(minim)28(um)-401(b)-28(et)28(w)28(een)]TJ/F11 9.9626 Tf 102.199 0 Td [(n)]TJ/F8 9.9626 Tf 9.974 0 Td [(and)-401(the)-401(in)28(ternal)-401(size)-401(of)-400(the)-401(v)27(ector,)-417(or)-401(0)-401(if)]TJ/F11 9.9626 Tf 189.961 0 Td [(n)]TJ/F8 9.9626 Tf 9.973 0 Td [(is)]TJ -312.107 -11.955 Td [(negativ)28(e;)-389(otherwise,)-380(the)-371(size)-370(of)-371(the)-370(arra)28(y)-371(is)-370(the)-371(same)-371(as)-370(the)-371(in)28(ternal)-370(size)]TJ 0 -11.955 Td [(of)-333(the)-334(v)28(ector.)]TJ/F27 9.9626 Tf -24.907 -28.197 Td [(3.3.6)-1150(clone)-383(|)-384(Clone)-383(curren)32(t)-384(ob)-63(ject)]TJ +/F44 9.9626 Tf 72.777 0 Td [(An)-316(allocatable)-316(array)-316(holding)-316(a)-317(copy)-316(of)-316(the)-316(dense)-316(vector)-316(con-)]TJ -47.87 -11.955 Td [(tents.)-321(If)-254(the)-254(ar)18(gument)]TJ/F42 9.9626 Tf 98.086 0 Td [(n)]TJ/F44 9.9626 Tf 8.192 0 Td [(is)-254(speci\002ed,)-255(the)-253(size)-254(of)-254(the)-254(r)18(eturned)-254(array)-253(equals)]TJ -106.278 -11.955 Td [(the)-339(minimum)-339(between)]TJ/F42 9.9626 Tf 105.247 0 Td [(n)]TJ/F44 9.9626 Tf 9.041 0 Td [(and)-339(the)-339(internal)-339(size)-339(of)-339(the)-339(vector)74(,)-361(or)-339(0)-339(if)]TJ/F42 9.9626 Tf 188.353 0 Td [(n)]TJ/F44 9.9626 Tf 9.04 0 Td [(is)]TJ -311.681 -11.956 Td [(negative;)-314(otherwise,)-303(the)-292(size)-293(of)-292(the)-293(array)-292(is)-293(the)-292(same)-293(as)-292(the)-293(internal)-292(size)]TJ 0 -11.955 Td [(of)-250(the)-250(vector)74(.)]TJ/F41 9.9626 Tf -24.907 -29.183 Td [(3.3.6)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 0 -19.197 Td [(call)-1050(x%clone\050y,info\051)]TJ +/F49 9.9626 Tf 0 -19.659 Td [(call)-1050(x%clone\050y,info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -23.218 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -22.995 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.66 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -21.361 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -21.661 Td [(x)]TJ + 0 -21.362 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(dense)-334(v)28(ector.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(dense)-250(vector)74(.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -80.359 -35.174 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -77.918 -34.95 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -21.66 Td [(y)]TJ + 0 -21.361 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(A)-333(cop)27(y)-333(of)-333(the)-334(in)1(put)-334(ob)-55(ject.)]TJ +/F44 9.9626 Tf 10.521 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ 0 g 0 G -/F27 9.9626 Tf -11.028 -21.66 Td [(info)]TJ +/F41 9.9626 Tf -10.521 -21.361 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Return)-333(co)-28(de.)]TJ/F16 11.9552 Tf -23.758 -30.189 Td [(3.4)-1125(Preconditioner)-375(data)-375(structure)]TJ/F8 9.9626 Tf 0 -19.197 Td [(Our)-383(base)-383(library)-383(o\013ers)-383(supp)-28(ort)-383(for)-383(simple)-383(w)28(ell)-383(kno)27(wn)-383(preconditioners)-383(lik)28(e)-383(Di-)]TJ 0 -11.955 Td [(agonal)-333(Scaling)-334(or)-333(Blo)-28(c)28(k)-333(Jacobi)-334(with)-333(incomplete)-333(factorization)-334(ILU\0500\051.)]TJ 14.944 -12.389 Td [(A)-427(preconditioner)-428(is)-427(held)-428(in)-427(the)]TJ/F30 9.9626 Tf 142.723 0 Td [(psb)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F41 11.9552 Tf -23.801 -31.176 Td [(3.4)-1000(Preconditioner)-250(data)-250(structure)]TJ/F44 9.9626 Tf 0 -19.659 Td [(Our)-396(base)-397(l)1(ibrary)-397(of)18(fers)-396(support)-396(for)-396(simple)-397(well)-396(known)-396(pr)18(econditioners)-396(like)]TJ 0 -11.956 Td [(Diagonal)-250(Scaling)-250(or)-250(Block)-250(Jacobi)-250(with)-250(incomplete)-250(factorization)-250(ILU\0500\051.)]TJ 14.944 -12.314 Td [(A)-361(pr)18(econditioner)-361(is)-361(held)-361(in)-361(the)]TJ/F49 9.9626 Tf 143.781 0 Td [(psb)]TJ ET q -1 0 0 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9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.614 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(o)1(r)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 336.932 cm +1 0 0 1 436.673 349.068 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 336.732 Td [(T)]TJ +/F49 9.9626 Tf 439.811 348.869 Td [(T)]TJ ET q -1 0 0 1 445.669 336.932 cm +1 0 0 1 445.669 349.068 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 336.732 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 348.869 Td [(vect)]TJ ET q -1 0 0 1 470.356 336.932 cm +1 0 0 1 470.356 349.068 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 336.732 Td [(type)]TJ +/F49 9.9626 Tf 473.495 348.869 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-375(n)27(um)28(b)-28(ers)-375(of)-375(t)28(yp)-28(e)-375(sp)-28(eci\014ed)-375(in)-375(T)83(able)]TJ +/F44 9.9626 Tf -297.884 -11.955 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-375(1)]TJ + [-312(1)]TJ 0 g 0 G - [(.)-570(The)-376(rank)-375(of)]TJ/F11 9.9626 Tf 274.031 0 Td [(x)]TJ/F8 9.9626 Tf 9.432 0 Td [(m)28(ust)-375(b)-28(e)]TJ -283.463 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ + [(.)-494(The)-312(rank)-312(of)]TJ/F42 9.9626 Tf 274.834 0 Td [(x)]TJ/F44 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F42 9.9626 Tf 52.946 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -83.615 -20.33 Td [(b)-32(eta)]TJ +/F41 9.9626 Tf -82.958 -20.391 Td [(beta)]TJ 0 g 0 G -/F8 9.9626 Tf 26.94 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\014)]TJ/F8 9.9626 Tf 6.161 0 Td [(.)]TJ -53.663 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(in)1(dicate)-1(d)-333(in)-333(T)83(able)]TJ +/F44 9.9626 Tf 24.348 0 Td [(the)-250(scalar)]TJ/F50 9.9626 Tf 44.618 0 Td [(b)]TJ/F44 9.9626 Tf 5.524 0 Td [(.)]TJ -49.584 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(1)]TJ + [-250(1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -20.329 Td [(y)]TJ +/F41 9.9626 Tf -24.906 -20.391 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(the)-333(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 193.276 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -184.639 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 191.754 0 Td [(y)]TJ/F44 9.9626 Tf 5.105 0 Td [(.)]TJ -182.473 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(inout)]TJ/F44 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 176.72 cm +1 0 0 1 436.673 188.736 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 176.521 Td [(T)]TJ +/F49 9.9626 Tf 439.811 188.537 Td [(T)]TJ ET q -1 0 0 1 445.669 176.72 cm +1 0 0 1 445.669 188.736 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 176.521 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 188.537 Td [(vect)]TJ ET q -1 0 0 1 470.356 176.72 cm +1 0 0 1 470.356 188.736 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 176.521 Td [(type)]TJ +/F49 9.9626 Tf 473.495 188.537 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-334(n)27(u)1(m)27(b)-27(e)-1(r)1(s)-335(of)-334(the)-334(t)28(yp)-28(e)-334(indicated)-334(in)-334(T)83(able)]TJ +/F44 9.9626 Tf -297.884 -11.956 Td [(containing)-276(numbers)-277(of)-276(the)-276(type)-276(indicated)-277(in)-276(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-334(1)]TJ + [-276(1)]TJ 0 g 0 G - [(.)-447(The)-334(rank)-335(of)]TJ/F11 9.9626 Tf 288.869 0 Td [(y)]TJ/F8 9.9626 Tf 8.572 0 Td [(m)28(ust)]TJ -297.441 -11.955 Td [(b)-28(e)-333(the)-333(s)-1(ame)-333(of)]TJ/F11 9.9626 Tf 67.027 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ + [(.)-389(The)-276(rank)-277(of)]TJ/F42 9.9626 Tf 288.67 0 Td [(y)]TJ/F44 9.9626 Tf 7.859 0 Td [(must)]TJ -296.529 -11.955 Td [(be)-250(the)-250(same)-250(of)]TJ/F42 9.9626 Tf 65.888 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -97.627 -20.33 Td [(desc)]TJ +/F41 9.9626 Tf -95.999 -20.39 Td [(desc)]TJ ET q -1 0 0 1 172.619 132.48 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.218 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 132.281 Td [(a)]TJ +/F41 9.9626 Tf 174.207 144.236 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ +/F44 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ 0 g 0 G -/F8 9.9626 Tf 109.589 -29.888 Td [(30)]TJ +/F44 9.9626 Tf 114.879 -29.888 Td [(30)]TJ 0 g 0 G ET endstream endobj -1034 0 obj +1032 0 obj << -/Length 2659 +/Length 2404 >> stream 0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 124.802 706.129 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 124.802 706.129 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 276.779 682.418 cm +1 0 0 1 273.363 694.373 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 682.219 Td [(desc)]TJ +/F49 9.9626 Tf 276.501 694.174 Td [(desc)]TJ ET q -1 0 0 1 301.466 682.418 cm +1 0 0 1 298.05 694.373 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 682.219 Td [(type)]TJ +/F49 9.9626 Tf 301.189 694.174 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.631 -21.918 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -222.215 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(y)]TJ + 0 -19.925 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(submatrix)]TJ/F11 9.9626 Tf 162.364 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -153.727 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F42 9.9626 Tf 160.68 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ -151.4 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 385.864 592.754 cm +1 0 0 1 385.864 604.709 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 592.555 Td [(T)]TJ +/F49 9.9626 Tf 389.002 604.51 Td [(T)]TJ ET q -1 0 0 1 394.86 592.754 cm +1 0 0 1 394.86 604.709 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 592.555 Td [(vect)]TJ +/F49 9.9626 Tf 397.998 604.51 Td [(vect)]TJ ET q -1 0 0 1 419.547 592.754 cm +1 0 0 1 419.547 604.709 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 592.555 Td [(type)]TJ +/F49 9.9626 Tf 422.685 604.51 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(the)-334(t)28(yp)-28(e)-333(indicated)-333(in)-333(T)83(able)]TJ +/F44 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(1)]TJ + [-250(1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F41 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -422.416 Td [(31)]TJ + 141.968 -434.371 Td [(31)]TJ 0 g 0 G ET endstream endobj -1044 0 obj +1042 0 obj << -/Length 7709 +/Length 7447 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(4.2)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(4.2)-1000(psb)]TJ ET q -1 0 0 1 202.396 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 198.238 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 206.431 706.129 Td [(gedot)-375(|)-375(Dot)-375(Pro)-31(duct)]TJ/F8 9.9626 Tf -55.726 -18.389 Td [(This)-333(function)-334(computes)-333(dot)-333(pro)-28(duct)-333(b)-28(et)28(w)28(e)-1(en)-333(t)28(w)28(o)-334(v)28(ectors)]TJ/F11 9.9626 Tf 252.332 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.371 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -285.96 -11.956 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 8.563 0 Td [(are)-333(real)-334(v)28(ectors)-333(it)-334(computes)-333(dot-pro)-28(duct)-333(as:)]TJ/F11 9.9626 Tf 101.783 -21.289 Td [(dot)]TJ/F14 9.9626 Tf 16.379 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 4.113 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(y)]TJ/F8 9.9626 Tf -189.774 -21.29 Td [(Else)-333(if)]TJ/F11 9.9626 Tf 30.358 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 8.563 0 Td [(are)-333(complex)-334(v)28(ectors)-333(then)-334(it)-333(computes)-333(dot-pro)-28(duct)-333(as:)]TJ/F11 9.9626 Tf 80.747 -21.29 Td [(dot)]TJ/F14 9.9626 Tf 16.379 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 4.113 Td [(H)]TJ/F11 9.9626 Tf 7.556 -4.113 Td [(y)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -190.414 -21.29 Td [(psb_gedot\050x,)-525(y,)-525(desc_a,)-525(info)-525([,global]\051)]TJ +/F41 11.9552 Tf 201.825 706.129 Td [(gedot)-250(\227)-250(Dot)-250(Product)]TJ/F44 9.9626 Tf -51.12 -18.976 Td [(This)-250(function)-250(computes)-250(dot)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F42 9.9626 Tf 254.647 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(and)]TJ/F42 9.9626 Tf 19.481 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ -286.93 -11.955 Td [(If)]TJ/F42 9.9626 Tf 9.459 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(and)]TJ/F42 9.9626 Tf 19.482 0 Td [(y)]TJ/F44 9.9626 Tf 7.597 0 Td [(ar)18(e)-250(r)18(eal)-250(vectors)-250(it)-250(computes)-250(dot-pr)18(oduct)-250(as:)]TJ/F42 9.9626 Tf 104.717 -23.132 Td [(d)-25(o)-35(t)]TJ/F73 10.3811 Tf 16.337 0 Td [(\040)]TJ/F42 9.9626 Tf 13.566 0 Td [(x)]TJ/F42 7.5716 Tf 5.399 4.115 Td [(T)]TJ/F42 9.9626 Tf 5.525 -4.115 Td [(y)]TJ/F44 9.9626 Tf -189.778 -21.93 Td [(Else)-250(if)]TJ/F42 9.9626 Tf 29.474 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(and)]TJ/F42 9.9626 Tf 19.482 0 Td [(y)]TJ/F44 9.9626 Tf 7.596 0 Td [(ar)18(e)-250(complex)-250(vectors)-250(then)-250(it)-250(computes)-250(dot-pr)18(oduct)-250(as:)]TJ/F42 9.9626 Tf 83.965 -23.132 Td [(d)-25(o)-35(t)]TJ/F73 10.3811 Tf 16.336 0 Td [(\040)]TJ/F42 9.9626 Tf 13.567 0 Td [(x)]TJ/F42 7.5716 Tf 5.588 4.115 Td [(H)]TJ/F42 9.9626 Tf 6.812 -4.115 Td [(y)]TJ/F49 9.9626 Tf -175.572 -21.937 Td [(psb_gedot\050x,)-525(y,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 234.474 567.173 cm -[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +1 0 0 1 233.929 570.686 cm +[]0 d 0 J 0.398 w 0 0 m 177.263 0 l S Q BT -/F11 9.9626 Tf 240.452 558.606 Td [(dot)]TJ/F8 9.9626 Tf 13.612 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 88.927 0 Td [(F)96(unction)]TJ +/F42 9.9626 Tf 240.031 562.118 Td [(d)-25(o)-35(t)]TJ/F44 9.9626 Tf 13.444 0 Td [(,)]TJ/F42 9.9626 Tf 5.276 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(,)]TJ/F42 9.9626 Tf 5.106 0 Td [(y)]TJ/F41 9.9626 Tf 91.76 0 Td [(Function)]TJ ET q -1 0 0 1 234.474 554.82 cm -[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +1 0 0 1 233.929 558.332 cm +[]0 d 0 J 0.398 w 0 0 m 177.263 0 l S Q BT -/F8 9.9626 Tf 240.452 546.252 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F44 9.9626 Tf 239.906 549.765 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 376.459 546.451 cm +1 0 0 1 377.14 549.964 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 379.447 546.252 Td [(gedot)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ +/F44 9.9626 Tf 380.129 549.765 Td [(gedot)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 376.459 534.496 cm +1 0 0 1 377.14 538.009 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 379.447 534.297 Td [(gedot)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 380.129 537.809 Td [(gedot)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 376.459 522.541 cm +1 0 0 1 377.14 526.053 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 379.447 522.342 Td [(gedot)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F44 9.9626 Tf 380.129 525.854 Td [(gedot)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 376.459 510.586 cm +1 0 0 1 377.14 514.098 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 379.447 510.386 Td [(gedot)]TJ +/F44 9.9626 Tf 380.129 513.899 Td [(gedot)]TJ ET q -1 0 0 1 234.474 506.601 cm -[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +1 0 0 1 233.929 510.113 cm +[]0 d 0 J 0.398 w 0 0 m 177.263 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 278.877 478.561 Td [(T)83(able)-333(2:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 280.768 481.735 Td [(T)92(able)-250(2:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -32.717 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -130.063 -34.507 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.674 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.951 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.674 Td [(x)]TJ + 0 -19.951 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.614 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 358.875 cm +1 0 0 1 436.673 359.705 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 358.675 Td [(T)]TJ +/F49 9.9626 Tf 439.811 359.506 Td [(T)]TJ ET q -1 0 0 1 445.669 358.875 cm +1 0 0 1 445.669 359.705 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 358.675 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 359.506 Td [(vect)]TJ ET q -1 0 0 1 470.356 358.875 cm +1 0 0 1 470.356 359.705 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 358.675 Td [(type)]TJ +/F49 9.9626 Tf 473.495 359.506 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-375(n)27(um)28(b)-28(ers)-375(of)-375(t)28(yp)-28(e)-375(sp)-28(eci\014ed)-375(in)-375(T)83(able)]TJ +/F44 9.9626 Tf -297.884 -11.956 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-375(2)]TJ + [-312(2)]TJ 0 g 0 G - [(.)-570(The)-376(rank)-375(of)]TJ/F11 9.9626 Tf 274.031 0 Td [(x)]TJ/F8 9.9626 Tf 9.432 0 Td [(m)28(ust)-375(b)-28(e)]TJ -283.463 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ + [(.)-494(The)-312(rank)-312(of)]TJ/F42 9.9626 Tf 274.834 0 Td [(x)]TJ/F44 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F42 9.9626 Tf 52.946 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -83.615 -19.674 Td [(y)]TJ +/F41 9.9626 Tf -82.958 -19.951 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.445 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 267.47 cm +1 0 0 1 436.673 268.023 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 267.27 Td [(T)]TJ +/F49 9.9626 Tf 439.811 267.824 Td [(T)]TJ ET q -1 0 0 1 445.669 267.47 cm +1 0 0 1 445.669 268.023 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 267.27 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 267.824 Td [(vect)]TJ ET q -1 0 0 1 470.356 267.47 cm +1 0 0 1 470.356 268.023 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 267.27 Td [(type)]TJ +/F49 9.9626 Tf 473.495 267.824 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-378(n)27(um)28(b)-28(ers)-378(of)-378(t)28(yp)-28(e)-378(sp)-28(eci\014ed)-378(in)-379(T)84(able)]TJ +/F44 9.9626 Tf -297.884 -11.955 Td [(containing)-313(numbers)-314(of)-313(type)-313(speci\002ed)-314(in)-313(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-378(2)]TJ + [-313(2)]TJ 0 g 0 G - [(.)-580(The)-378(rank)-378(of)]TJ/F11 9.9626 Tf 274.422 0 Td [(y)]TJ/F8 9.9626 Tf 9.011 0 Td [(m)28(ust)-378(b)-28(e)]TJ -283.433 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ + 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[(dense)-333(matrices)]TJ/F11 9.9626 Tf 67.109 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(:)]TJ/F11 9.9626 Tf 23.756 -11.955 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.08 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F8 9.9626 Tf 5.693 0 Td [(\050:)]TJ/F11 9.9626 Tf 6.642 0 Td [(;)-167(i)]TJ/F8 9.9626 Tf 7.86 0 Td [(\051)]TJ/F10 6.9738 Tf 3.875 4.114 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.114 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(\050:)]TJ/F11 9.9626 Tf 6.642 0 Td [(;)-167(i)]TJ/F8 9.9626 Tf 7.86 0 Td [(\051)]TJ -215.343 -15.687 Td [(If)-245(the)-245(matrices)-245(are)-245(complex,)-262(then)-245(the)-245(usual)-245(con)28(v)28(en)27(tion)-245(ap)1(plies)-1(,)-262(i.e.)-415(the)-245(conjugate)]TJ 0 -11.955 Td [(transp)-28(ose)-323(of)]TJ/F11 9.9626 Tf 55.836 0 Td [(x)]TJ/F8 9.9626 Tf 8.913 0 Td [(is)-323(used.)-441(If)]TJ/F11 9.9626 Tf 46.365 0 Td [(x)]TJ/F8 9.9626 Tf 8.913 0 Td [(and)]TJ/F11 9.9626 Tf 19.27 0 Td [(y)]TJ/F8 9.9626 Tf 8.461 0 Td [(are)-323(of)-323(rank)-323(one,)-325(then)]TJ/F11 9.9626 Tf 94.211 0 Td [(r)-28(es)]TJ/F8 9.9626 Tf 17.3 0 Td [(is)-323(a)-323(scalar,)-325(else)-324(it)-323(is)]TJ -259.269 -11.955 Td [(a)-333(rank)-334(one)-333(arra)28(y)83(.)]TJ -0 g 0 G +/F41 11.9552 Tf 201.825 706.129 Td [(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Product)]TJ/F44 9.9626 Tf -51.12 -18.964 Td [(This)-283(subr)18(outine)-284(computes)-283(a)-284(series)-284(of)-283(dot)-284(pr)18(oducts)-283(among)-284(the)-283(columns)-284(of)-283(two)]TJ 0 -11.955 Td [(dense)-250(matrices)]TJ/F42 9.9626 Tf 68.208 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(and)]TJ/F42 9.9626 Tf 19.482 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(:)]TJ/F42 9.9626 Tf 24.807 -13.101 Td [(r)-17(e)-25(s)]TJ/F75 10.3811 Tf 12.293 0 Td [(\050)]TJ/F42 9.9626 Tf 4.205 0 Td [(i)]TJ/F75 10.3811 Tf 3.088 0 Td [(\051)]TJ/F73 10.3811 Tf 7.041 0 Td [(\040)]TJ/F42 9.9626 Tf 13.567 0 Td [(x)]TJ/F75 10.3811 Tf 5.33 0 Td [(\050)]TJ/F44 9.9626 Tf 4.274 0 Td [(:)-12(,)]TJ/F42 9.9626 Tf 6.821 0 Td [(i)]TJ/F75 10.3811 Tf 3.088 0 Td [(\051)]TJ/F42 7.5716 Tf 4.343 4.114 Td [(T)]TJ/F42 9.9626 Tf 5.525 -4.114 Td [(y)]TJ/F75 10.3811 Tf 5.23 0 Td [(\050)]TJ/F44 9.9626 Tf 4.274 0 Td [(:)-13(,)]TJ/F42 9.9626 Tf 6.821 0 Td [(i)]TJ/F75 10.3811 Tf 3.089 0 Td [(\051)]TJ/F44 9.9626 Tf -214.288 -16.876 Td [(If)-300(the)-299(matrices)-300(ar)18(e)-299(complex,)-312(then)-300(the)-300(usual)-299(convention)-300(applies,)-312(i.e.)-459(the)-299(conju-)]TJ 0 -11.955 Td [(gate)-239(transpose)-239(of)]TJ/F42 9.9626 Tf 77.351 0 Td [(x)]TJ/F44 9.9626 Tf 7.589 0 Td [(is)-239(used.)-307(If)]TJ/F42 9.9626 Tf 45.493 0 Td [(x)]TJ/F44 9.9626 Tf 7.589 0 Td [(and)]TJ/F42 9.9626 Tf 19.375 0 Td [(y)]TJ/F44 9.9626 Tf 7.489 0 Td [(ar)18(e)-239(of)-239(rank)-240(one,)-241(then)]TJ/F42 9.9626 Tf 92.601 0 Td [(r)-17(e)-25(s)]TJ/F44 9.9626 Tf 14.552 0 Td [(is)-239(a)-240(scalar)75(,)-242(else)-239(it)]TJ -272.039 -11.955 Td [(is)-250(a)-250(rank)-250(one)-250(array)111(.)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F49 9.9626 Tf 20.174 -11.955 Td [(call)]TJ 0 g 0 G -/F30 9.9626 Tf 0 -18.175 Td [(call)-525(psb_gedots\050res,)-525(x,)-525(y,)-525(desc_a,)-525(info\051)]TJ + [-525(psb_gedots\050res,)-525(x,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 228.797 586.966 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 595.704 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F11 9.9626 Tf 234.775 578.398 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.08 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 88.459 0 Td [(Subroutine)]TJ +/F42 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F44 9.9626 Tf 12.17 0 Td [(,)]TJ/F42 9.9626 Tf 5.275 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(,)]TJ/F42 9.9626 Tf 5.106 0 Td [(y)]TJ/F41 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ ET q -1 0 0 1 228.797 574.612 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 583.351 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F8 9.9626 Tf 234.775 566.045 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F44 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 370.782 566.244 cm +1 0 0 1 373.603 574.982 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 566.045 Td [(gedots)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F44 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 370.782 554.289 cm +1 0 0 1 373.603 563.027 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 554.089 Td [(gedots)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 370.782 542.333 cm +1 0 0 1 373.603 551.072 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 542.134 Td [(gedots)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F44 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 370.782 530.378 cm +1 0 0 1 373.603 539.116 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 530.179 Td [(gedots)]TJ +/F44 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ ET q -1 0 0 1 228.797 526.393 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 535.131 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 278.877 498.354 Td [(T)83(able)-333(3:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -28.356 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -130.063 -32.002 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -18.428 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.22 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -18.429 Td [(x)]TJ + 0 -19.22 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.614 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 385.52 cm +1 0 0 1 436.673 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 385.321 Td [(T)]TJ +/F49 9.9626 Tf 439.811 388.49 Td [(T)]TJ ET q -1 0 0 1 445.669 385.52 cm +1 0 0 1 445.669 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 385.321 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 388.49 Td [(vect)]TJ ET q -1 0 0 1 470.356 385.52 cm +1 0 0 1 470.356 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 385.321 Td [(type)]TJ +/F49 9.9626 Tf 473.495 388.49 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-375(n)27(um)28(b)-28(ers)-375(of)-375(t)28(yp)-28(e)-375(sp)-28(eci\014ed)-375(in)-375(T)83(able)]TJ +/F44 9.9626 Tf -297.884 -11.955 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-375(3)]TJ + [-312(3)]TJ 0 g 0 G - [(.)-570(The)-376(rank)-375(of)]TJ/F11 9.9626 Tf 274.031 0 Td [(x)]TJ/F8 9.9626 Tf 9.432 0 Td [(m)28(ust)-375(b)-28(e)]TJ -283.463 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ + [(.)-494(The)-312(rank)-312(of)]TJ/F42 9.9626 Tf 274.834 0 Td [(x)]TJ/F44 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F42 9.9626 Tf 52.946 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -83.615 -18.428 Td [(y)]TJ +/F41 9.9626 Tf -82.958 -19.221 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.445 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 295.361 cm +1 0 0 1 436.673 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 295.162 Td [(T)]TJ +/F49 9.9626 Tf 439.811 297.539 Td [(T)]TJ ET q -1 0 0 1 445.669 295.361 cm +1 0 0 1 445.669 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 295.162 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 297.539 Td [(vect)]TJ ET q -1 0 0 1 470.356 295.361 cm +1 0 0 1 470.356 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 295.162 Td [(type)]TJ +/F49 9.9626 Tf 473.495 297.539 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-378(n)27(um)28(b)-28(ers)-378(of)-378(t)28(yp)-28(e)-378(sp)-28(eci\014ed)-378(in)-379(T)84(able)]TJ +/F44 9.9626 Tf -297.884 -11.956 Td [(containing)-313(numbers)-314(of)-313(type)-313(speci\002ed)-314(in)-313(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-378(3)]TJ + [-313(3)]TJ 0 g 0 G - [(.)-580(The)-378(rank)-378(of)]TJ/F11 9.9626 Tf 274.422 0 Td [(y)]TJ/F8 9.9626 Tf 9.011 0 Td [(m)28(ust)-378(b)-28(e)]TJ -283.433 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ + [(.)-500(The)-314(rank)-313(of)]TJ/F42 9.9626 Tf 274.898 0 Td [(y)]TJ/F44 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.955 Td [(the)-250(same)-250(of)]TJ/F42 9.9626 Tf 53.116 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -84.067 -18.428 Td [(desc)]TJ +/F41 9.9626 Tf -83.227 -19.22 Td [(desc)]TJ ET q -1 0 0 1 172.619 253.022 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.218 254.607 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 252.823 Td [(a)]TJ +/F41 9.9626 Tf 174.207 254.408 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 205.202 cm +1 0 0 1 324.173 206.786 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 205.003 Td [(desc)]TJ +/F49 9.9626 Tf 327.311 206.587 Td [(desc)]TJ ET q -1 0 0 1 352.275 205.202 cm +1 0 0 1 348.86 206.786 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 355.414 205.003 Td [(type)]TJ +/F49 9.9626 Tf 351.998 206.587 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.63 -18.429 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -222.214 -19.22 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -18.428 Td [(res)]TJ + 0 -19.221 Td [(res)]TJ 0 g 0 G -/F8 9.9626 Tf 19.47 0 Td [(is)-333(the)-334(dot)-333(pro)-28(duct)-333(of)-333(v)28(e)-1(ctors)]TJ/F11 9.9626 Tf 127.466 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -155.659 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-358(as:)-493(a)-358(n)28(um)28(b)-28(er)-357(or)-358(a)-358(rank-one)-358(arr)1(a)27(y)-357(of)-358(the)-358(data)-358(t)28(yp)-27(e)-358(indicated)-358(in)]TJ 0 -11.955 Td [(T)83(able)]TJ +/F44 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(dot)-250(pr)18(oduct)-250(of)-250(vectors)]TJ/F42 9.9626 Tf 126.33 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(and)]TJ/F42 9.9626 Tf 19.482 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ -151.968 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(global)]TJ/F44 9.9626 Tf -31.431 -11.955 Td 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[(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -567.87 Td [(35)]TJ 0 g 0 G @@ -9296,557 +9777,564 @@ ET endstream endobj -1078 0 obj +1071 0 obj << -/Length 6875 +/Length 7477 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(4.4)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(4.4)-1000(psb)]TJ ET q -1 0 0 1 202.396 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 198.238 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 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Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 318.82 cm +1 0 0 1 436.673 362.508 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 318.621 Td [(T)]TJ +/F49 9.9626 Tf 439.811 362.308 Td [(T)]TJ ET q -1 0 0 1 445.669 318.82 cm +1 0 0 1 445.669 362.508 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 318.621 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 362.308 Td [(vect)]TJ ET q -1 0 0 1 470.356 318.82 cm +1 0 0 1 470.356 362.508 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 318.621 Td [(type)]TJ +/F49 9.9626 Tf 473.495 362.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.956 Td 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[(k)]TJ/F14 9.9626 Tf 13.133 6.503 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(k)-31(;)-167(i)]TJ/F8 9.9626 Tf 13.36 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ +/F41 11.9552 Tf 201.825 706.129 Td [(geamaxs)-250(\227)-250(Generalized)-250(In\002nity)-250(Norm)]TJ/F44 9.9626 Tf -51.12 -18.964 Td [(This)-256(subr)18(outine)-255(computes)-256(a)-256(series)-255(of)-256(in\002nity)-256(norms)-256(on)-255(the)-256(columns)-256(of)-255(a)-256(dense)]TJ 0 -11.955 Td [(matrix)]TJ/F42 9.9626 Tf 31.785 0 Td [(x)]TJ/F44 9.9626 Tf 5.206 0 Td [(:)]TJ/F42 9.9626 Tf 88.539 -11.955 Td [(r)-17(e)-25(s)]TJ/F75 10.3811 Tf 12.294 0 Td [(\050)]TJ/F42 9.9626 Tf 4.204 0 Td [(i)]TJ/F75 10.3811 Tf 3.088 0 Td [(\051)]TJ/F73 10.3811 Tf 7.042 0 Td [(\040)]TJ/F44 9.9626 Tf 13.273 0 Td [(max)]TJ/F42 7.5716 Tf 7.759 -7.336 Td [(k)]TJ/F73 10.3811 Tf 12.944 7.336 Td [(j)]TJ/F42 9.9626 Tf 3.298 0 Td [(x)]TJ/F75 10.3811 Tf 5.33 0 Td [(\050)]TJ/F42 9.9626 Tf 4.274 0 Td [(k)]TJ/F44 9.9626 Tf 4.598 0 Td [(,)]TJ/F42 9.9626 Tf 4.206 0 Td [(i)]TJ/F75 10.3811 Tf 3.088 0 Td [(\051)]TJ/F73 10.3811 Tf 4.274 0 Td [(j)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F49 9.9626 Tf -195.028 -22.296 Td [(call)]TJ 0 g 0 G -0 g 0 G -/F30 9.9626 Tf -215.737 -25.377 Td [(call)-525(psb_geamaxs\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ + [-525(psb_geamaxs\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 177.927 614.121 cm -[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S +1 0 0 1 177.192 626.591 cm +[]0 d 0 J 0.398 w 0 0 m 290.737 0 l S Q BT -/F11 9.9626 Tf 183.905 605.553 Td [(r)-28(es)-8770(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(Subroutine)]TJ +/F42 9.9626 Tf 183.195 618.023 Td [(r)-17(e)-25(s)-8868(x)]TJ/F41 9.9626 Tf 221.013 0 Td [(Subroutine)]TJ ET q -1 0 0 1 177.927 601.768 cm -[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S +1 0 0 1 177.192 614.237 cm +[]0 d 0 J 0.398 w 0 0 m 290.737 0 l S Q BT -/F8 9.9626 Tf 183.905 593.2 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Real)-3103(psb)]TJ +/F44 9.9626 Tf 183.17 605.669 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 421.365 593.399 cm +1 0 0 1 420.527 605.868 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 593.2 Td [(geamaxs)]TJ -240.449 -11.956 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ +/F44 9.9626 Tf 423.516 605.669 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 421.365 581.444 cm +1 0 0 1 420.527 593.913 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 581.244 Td [(geamaxs)]TJ -240.449 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 423.516 593.714 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 421.365 569.489 cm +1 0 0 1 420.527 581.958 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 569.289 Td [(geamaxs)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(psb)]TJ +/F44 9.9626 Tf 423.516 581.759 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 421.365 557.533 cm +1 0 0 1 420.527 570.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 557.334 Td [(geamaxs)]TJ +/F44 9.9626 Tf 423.516 569.804 Td [(geamaxs)]TJ ET q -1 0 0 1 177.927 553.548 cm -[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S +1 0 0 1 177.192 566.018 cm +[]0 d 0 J 0.398 w 0 0 m 290.737 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 278.877 525.509 Td [(T)83(able)-333(5:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 280.768 537.639 Td [(T)92(able)-250(5:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -33.596 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -130.063 -34.468 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.614 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 404.441 cm +1 0 0 1 436.673 415.699 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 404.242 Td [(T)]TJ +/F49 9.9626 Tf 439.811 415.5 Td [(T)]TJ ET q -1 0 0 1 445.669 404.441 cm +1 0 0 1 445.669 415.699 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 404.242 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 415.5 Td [(vect)]TJ ET q -1 0 0 1 470.356 404.441 cm +1 0 0 1 470.356 415.699 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 404.242 Td [(type)]TJ +/F49 9.9626 Tf 473.495 415.5 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.956 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ +/F44 9.9626 Tf -297.884 -11.956 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(5)]TJ + [-250(5)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(desc)]TJ +/F41 9.9626 Tf -24.906 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 372.56 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.218 383.818 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 372.361 Td [(a)]TJ +/F41 9.9626 Tf 174.207 383.619 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 324.74 cm +1 0 0 1 324.173 335.998 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 324.54 Td [(desc)]TJ +/F49 9.9626 Tf 327.311 335.798 Td [(desc)]TJ ET q -1 0 0 1 352.275 324.74 cm +1 0 0 1 348.86 335.998 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 355.414 324.54 Td [(type)]TJ +/F49 9.9626 Tf 351.998 335.798 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.63 -19.925 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -222.214 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(res)]TJ 0 g 0 G -/F8 9.9626 Tf 19.47 0 Td [(is)-333(the)-334(in\014nit)28(y)-333(norm)-333(of)-334(the)-333(columns)-333(of)]TJ/F11 9.9626 Tf 166.183 0 Td [(x)]TJ/F8 9.9626 Tf 5.693 0 Td [(.)]TJ -166.44 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(Sp)-28(eci\014ed)-289(as:)-422(a)-289(n)28(um)28(b)-28(er)-289(or)-289(a)-289(rank)1(-)-1(on)1(e)-289(arra)27(y)-288(of)-289(long)-289(precision)-289(real)-289(n)28(um)28(b)-28(ers.)]TJ +/F44 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(in\002nity)-250(norm)-250(of)-250(the)-250(columns)-250(of)]TJ/F42 9.9626 Tf 166.26 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -164.82 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.956 Td [(Speci\002ed)-330(as:)-470(a)-330(number)-330(or)-330(a)-330(rank-one)-330(array)-329(of)-330(long)-330(pr)18(ecision)-330(r)18(eal)-330(num-)]TJ 0 -11.955 Td [(bers.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(info)]TJ +/F41 9.9626 Tf -24.906 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F44 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -90.64 Td [(38)]TJ + 141.968 -89.943 Td [(38)]TJ 0 g 0 G ET endstream endobj -1105 0 obj +1093 0 obj << -/Length 7168 +/Length 7104 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(4.6)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(4.6)-1000(psb)]TJ ET q -1 0 0 1 151.587 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 147.429 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 155.621 706.129 Td [(norm1)-375(|)-375(1-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -55.726 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(1-norm)-334(of)-333(a)-333(v)27(ector)]TJ/F11 9.9626 Tf 207.168 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -212.862 -11.956 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(1-norm)-334(as:)]TJ/F11 9.9626 Tf 123.449 -19.151 Td [(asum)]TJ/F14 9.9626 Tf 27.154 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf -196.303 -19.151 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.006 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(1-norm)-333(as:)]TJ/F11 9.9626 Tf 70.135 -19.152 Td [(asum)]TJ/F14 9.9626 Tf 27.154 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.411 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(1)]TJ/F8 9.9626 Tf 6.683 1.494 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(im)]TJ/F8 9.9626 Tf 12.179 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(1)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -232.086 -17.657 Td [(psb_geasum\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 -11.955 Td [(psb_norm1\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ +/F41 11.9552 Tf 151.016 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F44 9.9626 Tf -51.121 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F42 9.9626 Tf 206.349 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F42 9.9626 Tf 9.46 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F42 9.9626 Tf 125.989 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F73 10.3811 Tf 25.352 0 Td [(\040)-291(k)]TJ/F42 9.9626 Tf 19.007 0 Td [(x)]TJ/F42 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F73 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F44 9.9626 Tf -195.526 -21.269 Td [(else)-250(if)]TJ/F42 9.9626 Tf 28.159 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F42 9.9626 Tf 71.974 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F73 10.3811 Tf 25.353 0 Td [(\040)-291(k)]TJ/F42 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F75 10.3811 Tf 8.17 0 Td [(\050)]TJ/F42 9.9626 Tf 4.443 0 Td [(x)]TJ/F75 10.3811 Tf 5.33 0 Td [(\051)]TJ/F73 10.3811 Tf 4.274 0 Td [(k)]TJ/F44 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F75 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F73 10.3811 Tf 10.256 0 Td [(k)]TJ/F42 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F75 10.3811 Tf 11.088 0 Td [(\050)]TJ/F42 9.9626 Tf 4.444 0 Td [(x)]TJ/F75 10.3811 Tf 5.329 0 Td [(\051)]TJ/F73 10.3811 Tf 4.274 0 Td [(k)]TJ/F44 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F49 9.9626 Tf -216.928 -19.411 Td [(psb_geasum\050x,)-525(desc_a,)-525(info)-525([,global]\051)-190(psb_norm1\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 129.47 566.766 cm -[]0 d 0 J 0.398 w 0 0 m 284.561 0 l S +1 0 0 1 128.44 576.025 cm +[]0 d 0 J 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0 1 367.96 471.21 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 371.626 471.011 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.223 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.349 0 Td [(.)-178(\051)]TJ/F27 9.9626 Tf -293.299 -11.956 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.235 0 Td [(p)-73(s)-72(b)]TJ +/F44 9.9626 Tf 371.922 471.011 Td [(a)-371(,)-283(i)-108(n)-108(f)-108(o)-391(,)-298(g)-123(l)-123(o)-124(b)-123(a)-123(l)-238(=)-115(.)-277(f)-162(a)-162(l)-162(s)-163(e)-367(.)-206(\051)]TJ -170.658 -11.956 Td [(c)-175(a)-175(l)-174(l)-831(p)-56(s)-56(b)]TJ ET q -1 0 0 1 247.903 459.255 cm +1 0 0 1 247.952 459.255 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 251.616 459.055 Td [(n)-73(r)-72(m)-73(2)-178(\050)-245(i)-138(c)-139(t)-139(x)-139(t)-439(,)-289(v)-129(r)-128(e)-128(s)-294(\050)-165(1)-165(:)-165(3)-165(\051)-165(\051)]TJ +/F44 9.9626 Tf 251.497 459.055 Td [(n)-56(r)-56(m)-55(2)-190(\050)-264(c)-132(t)-131(x)-131(t)-438(,)-283(v)-107(r)-107(e)-108(s)-300(\050)-193(1)-193(:)-193(3)-193(\051)-193(\051)]TJ 0 g 0 G 0 g 0 G - -76.005 -21.917 Td [(In)-354(th)1(is)-354(w)28(a)28(y)-354(the)-353(global)-354(comm)28(unication,)-359(whic)28(h)-353(for)-354(small)-353(size)-1(s)-353(is)-354(a)-353(latency-)]TJ 0 -11.956 Td [(b)-28(ound)-333(op)-28(eration,)-333(is)-333(in)27(v)28(ok)28(ed)-333(only)-334(once.)]TJ + -75.886 -21.917 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.956 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ 0 g 0 G 141.968 -334.744 Td [(44)]TJ 0 g 0 G @@ -10977,773 +11496,779 @@ ET endstream endobj -1155 0 obj +1138 0 obj << -/Length 6140 +/Length 6050 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(4.9)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(4.9)-1000(psb)]TJ ET q -1 0 0 1 151.587 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 147.429 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 155.621 706.129 Td [(genrm2s)-375(|)-375(Generalized)-375(2-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -55.726 -18.389 Td [(This)-310(subroutine)-310(computes)-309(a)-310(series)-310(of)-310(2-norms)-310(on)-310(the)-310(columns)-309(of)-310(a)-310(dense)-310(matrix)]TJ/F11 9.9626 Tf 0 -11.956 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(:)]TJ/F11 9.9626 Tf 126.531 -11.955 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050:)]TJ/F11 9.9626 Tf 6.642 0 Td [(;)-167(i)]TJ/F8 9.9626 Tf 7.86 0 Td [(\051)]TJ/F14 9.9626 Tf 3.875 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ -0 g 0 G +/F41 11.9552 Tf 151.016 706.129 Td 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[(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 370.699 560.993 cm +1 0 0 1 369.912 574.366 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.688 560.793 Td [(genrm2s)]TJ +/F44 9.9626 Tf 372.9 574.167 Td [(genrm2s)]TJ ET q -1 0 0 1 127.261 557.008 cm -[]0 d 0 J 0.398 w 0 0 m 288.979 0 l S +1 0 0 1 126.577 570.381 cm +[]0 d 0 J 0.398 w 0 0 m 290.348 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 228.067 528.968 Td [(T)83(able)-333(9:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 229.958 542.002 Td [(T)92(able)-250(9:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -33.596 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -130.063 -34.468 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 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[(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 385.864 407.9 cm +1 0 0 1 385.864 420.062 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 407.701 Td [(T)]TJ +/F49 9.9626 Tf 389.002 419.863 Td [(T)]TJ ET q -1 0 0 1 394.86 407.9 cm +1 0 0 1 394.86 420.062 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 407.701 Td [(vect)]TJ +/F49 9.9626 Tf 397.998 419.863 Td [(vect)]TJ ET q -1 0 0 1 419.547 407.9 cm +1 0 0 1 419.547 420.062 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 407.701 Td [(type)]TJ +/F49 9.9626 Tf 422.685 419.863 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ +/F44 9.9626 Tf -297.883 -11.956 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(9)]TJ + [-250(9)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(desc)]TJ +/F41 9.9626 Tf -24.907 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 376.02 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 388.181 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 375.82 Td [(a)]TJ +/F41 9.9626 Tf 123.397 387.982 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 276.779 328.199 cm +1 0 0 1 273.363 340.361 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 328 Td [(desc)]TJ +/F49 9.9626 Tf 276.501 340.161 Td [(desc)]TJ ET q -1 0 0 1 301.466 328.199 cm +1 0 0 1 298.05 340.361 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 328 Td [(type)]TJ +/F49 9.9626 Tf 301.189 340.161 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.631 -19.926 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -222.215 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(res)]TJ 0 g 0 G -/F8 9.9626 Tf 19.47 0 Td [(con)28(tains)-334(the)-333(1-norm)-333(of)-334(\050th)1(e)-334(columns)-333(of)-78(\051)]TJ/F11 9.9626 Tf 177.751 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -178.008 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-333(real)-334(n)28(um)28(b)-28(er.)]TJ +/F44 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F42 9.9626 Tf 176.182 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F41 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -94.1 Td [(45)]TJ + 141.968 -106.261 Td [(45)]TJ 0 g 0 G ET endstream endobj -1162 0 obj +1145 0 obj << -/Length 5520 +/Length 5385 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(4.10)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(4.10)-1000(psb)]TJ ET q -1 0 0 1 209.121 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 204.216 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 213.156 706.129 Td [(norm1)-375(|)-375(1-Norm)-375(of)-375(Sparse)-375(Matrix)]TJ/F8 9.9626 Tf -62.451 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(1-norm)-334(of)-333(a)-333(matrix)]TJ/F11 9.9626 Tf 209.658 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(:)]TJ/F11 9.9626 Tf -76.215 -33.873 Td [(nr)-28(m)]TJ/F8 9.9626 Tf 19.498 0 Td [(1)]TJ/F14 9.9626 Tf 7.749 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.495 Td [(1)]TJ/F8 9.9626 Tf -198.327 -20.423 Td [(where:)]TJ +/F41 11.9552 Tf 207.803 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F44 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(matrix)]TJ/F42 9.9626 Tf 208.231 0 Td [(A)]TJ/F44 9.9626 Tf 7.318 0 Td [(:)]TJ/F42 9.9626 Tf -74.65 -33.873 Td [(n)-15(r)-35(m)]TJ/F44 9.9626 Tf 17.788 0 Td [(1)]TJ/F73 10.3811 Tf 7.873 0 Td [(\040)-291(k)]TJ/F42 9.9626 Tf 19.335 0 Td [(A)]TJ/F73 10.3811 Tf 7.442 0 Td [(k)]TJ/F44 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F44 9.9626 Tf -198.652 -20.06 Td [(wher)18(e:)]TJ 0 g 0 G -/F11 9.9626 Tf 0 -19.926 Td [(A)]TJ +/F42 9.9626 Tf 0.622 -19.925 Td [(A)]TJ 0 g 0 G -/F8 9.9626 Tf 12.453 0 Td [(represen)28(ts)-334(the)-333(global)-333(matrix)]TJ/F11 9.9626 Tf 125.834 0 Td [(A)]TJ +/F44 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F42 9.9626 Tf 125.981 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 230.992 589.962 cm -[]0 d 0 J 0.398 w 0 0 m 183.136 0 l S +1 0 0 1 229.61 588.515 cm +[]0 d 0 J 0.398 w 0 0 m 185.901 0 l S Q BT -/F11 9.9626 Tf 236.97 581.394 Td [(A)]TJ/F27 9.9626 Tf 120.41 0 Td [(F)96(unction)]TJ +/F42 9.9626 Tf 236.21 579.947 Td [(A)]TJ/F41 9.9626 Tf 120.293 0 Td [(Function)]TJ ET q -1 0 0 1 230.992 577.608 cm -[]0 d 0 J 0.398 w 0 0 m 183.136 0 l S +1 0 0 1 229.61 576.161 cm +[]0 d 0 J 0.398 w 0 0 m 185.901 0 l S Q BT -/F8 9.9626 Tf 236.97 569.04 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F44 9.9626 Tf 235.587 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 372.977 569.24 cm +1 0 0 1 372.821 567.793 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 569.04 Td [(spnrm1)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F44 9.9626 Tf 375.81 567.594 Td [(spnrm1)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 372.977 557.284 cm +1 0 0 1 372.821 555.838 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 557.085 Td [(spnrm1)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 375.81 555.638 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 372.977 545.329 cm +1 0 0 1 372.821 543.882 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 545.13 Td [(spnrm1)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F44 9.9626 Tf 375.81 543.683 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 372.977 533.374 cm +1 0 0 1 372.821 531.927 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 533.175 Td [(spnrm1)]TJ +/F44 9.9626 Tf 375.81 531.728 Td [(spnrm1)]TJ ET q -1 0 0 1 230.992 529.389 cm -[]0 d 0 J 0.398 w 0 0 m 183.136 0 l S +1 0 0 1 229.61 527.942 cm +[]0 d 0 J 0.398 w 0 0 m 185.901 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 501.35 Td [(T)83(able)-333(10:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 278.277 499.564 Td [(T)92(able)-250(10:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -125.681 -33.873 Td [(psb_spnrm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.956 Td [(psb_norm1\050A,)-525(desc_a,)-525(info\051)]TJ +/F49 9.9626 Tf -127.572 -33.873 Td [(psb_spnrm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_norm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(a)]TJ + 0 -19.926 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(the)-333(global)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 196.126 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -189.242 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F42 9.9626 Tf 194.722 0 Td [(A)]TJ/F44 9.9626 Tf 7.317 0 Td [(.)]TJ -187.095 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.242 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 346.132 cm +1 0 0 1 324.173 344.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 345.932 Td [(Tspmat)]TJ +/F49 9.9626 Tf 327.311 344.147 Td [(Tspmat)]TJ ET q -1 0 0 1 362.736 346.132 cm +1 0 0 1 359.321 344.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.874 345.932 Td [(type)]TJ +/F49 9.9626 Tf 362.459 344.147 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -236.091 -19.925 Td [(desc)]TJ +/F41 9.9626 Tf -232.675 -19.926 Td [(desc)]TJ ET q -1 0 0 1 172.619 326.206 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.218 324.421 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 326.007 Td [(a)]TJ +/F41 9.9626 Tf 174.207 324.221 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 278.386 cm +1 0 0 1 324.173 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 278.186 Td [(desc)]TJ +/F49 9.9626 Tf 327.311 276.401 Td [(desc)]TJ ET q -1 0 0 1 352.275 278.386 cm +1 0 0 1 348.86 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 355.414 278.186 Td [(type)]TJ +/F49 9.9626 Tf 351.998 276.401 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.63 -19.925 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -222.214 -19.926 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ + 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(is)-333(the)-334(1-norm)-333(of)-333(sparse)-334(submatrix)]TJ/F11 9.9626 Tf 150.298 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -211.25 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-334(r)1(e)-1(al)-333(n)28(um)28(b)-28(er.)]TJ +/F44 9.9626 Tf 72.776 0 Td [(is)-250(the)-250(1-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F42 9.9626 Tf 150.4 0 Td [(A)]TJ/F44 9.9626 Tf 7.317 0 Td [(.)]TJ -205.587 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 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7.472 0 Td [(k)]TJ/F13 6.9738 Tf 4.981 -1.495 Td [(1)]TJ/F8 9.9626 Tf -195.567 -20.423 Td [(where:)]TJ +/F41 11.9552 Tf 156.993 706.129 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F44 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(in\002nity-norm)-250(of)-250(a)-250(matrix)]TJ/F42 9.9626 Tf 235.459 0 Td [(A)]TJ/F44 9.9626 Tf 7.318 0 Td [(:)]TJ/F42 9.9626 Tf -102.327 -33.873 Td [(n)-15(r)-35(m)-18(i)]TJ/F73 10.3811 Tf 23.698 0 Td [(\040)-291(k)]TJ/F42 9.9626 Tf 19.336 0 Td [(A)]TJ/F73 10.3811 Tf 7.442 0 Td [(k)]TJ/F86 7.5716 Tf 5.409 -1.494 Td [(\245)]TJ/F44 9.9626 Tf -196.335 -20.424 Td [(wher)18(e:)]TJ 0 g 0 G -/F11 9.9626 Tf 0 -19.926 Td [(A)]TJ +/F42 9.9626 Tf 0.623 -19.925 Td [(A)]TJ 0 g 0 G -/F8 9.9626 Tf 12.454 0 Td [(represen)28(ts)-334(the)-333(global)-333(matrix)]TJ/F11 9.9626 Tf 125.834 0 Td [(A)]TJ +/F44 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F42 9.9626 Tf 125.981 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 181.29 589.962 cm -[]0 d 0 J 0.398 w 0 0 m 180.922 0 l S +1 0 0 1 179.842 588.515 cm +[]0 d 0 J 0.398 w 0 0 m 183.819 0 l S Q BT -/F11 9.9626 Tf 187.268 581.394 Td [(A)]TJ/F27 9.9626 Tf 120.409 0 Td [(F)96(unction)]TJ +/F42 9.9626 Tf 186.442 579.947 Td [(A)]TJ/F41 9.9626 Tf 120.292 0 Td [(Function)]TJ ET q -1 0 0 1 181.29 577.608 cm -[]0 d 0 J 0.398 w 0 0 m 180.922 0 l S +1 0 0 1 179.842 576.161 cm +[]0 d 0 J 0.398 w 0 0 m 183.819 0 l S Q BT -/F8 9.9626 Tf 187.268 569.04 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ +/F44 9.9626 Tf 185.819 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 323.274 569.24 cm +1 0 0 1 323.053 567.793 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 326.263 569.04 Td [(spnrmi)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ +/F44 9.9626 Tf 326.042 567.594 Td [(spnrmi)]TJ -140.223 -11.956 Td 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0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 276.779 278.386 cm +1 0 0 1 273.363 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 278.186 Td [(desc)]TJ +/F49 9.9626 Tf 276.501 276.401 Td [(desc)]TJ ET q -1 0 0 1 301.466 278.386 cm +1 0 0 1 298.05 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 278.186 Td [(type)]TJ +/F49 9.9626 Tf 301.189 276.401 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.631 -19.925 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -222.215 -19.926 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ + 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F8 9.9626 Tf 78.387 0 Td [(is)-333(the)-334(in\014ni)1(t)27(y-norm)-333(of)-333(sparse)-334(submatrix)]TJ/F11 9.9626 Tf 176.311 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -237.263 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-333(real)-334(n)28(um)28(b)-28(er.)]TJ +/F44 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F42 9.9626 Tf 177.627 0 Td [(A)]TJ/F44 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F41 9.9626 Tf -24.907 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -56.242 Td [(47)]TJ + 141.968 -54.456 Td [(47)]TJ 0 g 0 G ET endstream endobj -1180 0 obj +1163 0 obj << -/Length 7334 +/Length 7234 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(4.12)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ ET q -1 0 0 1 209.121 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 204.216 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 213.156 706.129 Td [(spmm)-349(|)-349(Sparse)-349(Matrix)-349(b)31(y)-349(Dense)-349(Matrix)-349(Pro)-31(d-)]TJ -25.091 -13.948 Td [(uct)]TJ/F8 9.9626 Tf -37.36 -18.389 Td [(This)-333(subroutine)-334(computes)-333(the)-333(Sparse)-334(Matrix)-333(b)28(y)-333(Dense)-334(Matrix)-333(Pro)-28(duct:)]TJ/F11 9.9626 Tf 139.908 -23.911 Td [(y)]TJ/F14 9.9626 Tf 8.009 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)-4(Ax)]TJ/F8 9.9626 Tf 21.79 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ +/F41 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F44 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F42 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F73 10.3811 Tf 7.998 0 Td [(\040)]TJ/F50 9.9626 Tf 13.397 0 Td [(a)]TJ/F42 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F75 10.3811 Tf 14.878 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 138.581 0 Td [(\0501\051)]TJ +/F44 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ 0 g 0 G -/F11 9.9626 Tf -194.211 -16.435 Td [(y)]TJ/F14 9.9626 Tf 8.009 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)-4(A)]TJ/F10 6.9738 Tf 13.882 4.114 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ +/F42 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F73 10.3811 Tf 7.998 0 Td [(\040)]TJ/F50 9.9626 Tf 13.398 0 Td [(a)]TJ/F42 9.9626 Tf 6.007 0 Td [(A)]TJ/F42 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F42 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 135.443 0 Td [(\0502\051)]TJ +/F44 9.9626 Tf 130.715 0 Td [(\0502\051)]TJ 0 g 0 G -/F11 9.9626 Tf -194.851 -16.435 Td [(y)]TJ/F14 9.9626 Tf 8.009 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)-4(A)]TJ/F10 6.9738 Tf 13.882 4.114 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.114 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ +/F42 9.9626 Tf -195.482 -20.129 Td [(y)]TJ/F73 10.3811 Tf 7.998 0 Td [(\040)]TJ/F50 9.9626 Tf 13.397 0 Td [(a)]TJ/F42 9.9626 Tf 6.008 0 Td [(A)]TJ/F42 7.5716 Tf 7.7 4.114 Td [(H)]TJ/F42 9.9626 Tf 6.981 -4.114 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 134.803 0 Td [(\0503\051)]TJ +/F44 9.9626 Tf 129.977 0 Td [(\0503\051)]TJ 0 g 0 G - -316.037 -16.435 Td [(where:)]TJ + -317.15 -18.633 Td [(wher)18(e:)]TJ 0 g 0 G -/F11 9.9626 Tf -14.944 -17.928 Td [(x)]TJ +/F42 9.9626 Tf -14.65 -20.451 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.093 0 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.495 Td [(:)]TJ/F10 6.9738 Tf 2.255 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +/F44 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 115.61 0 Td [(x)]TJ/F44 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F11 9.9626 Tf -137.083 -17.432 Td [(y)]TJ +/F42 9.9626 Tf -131.167 -19.132 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 10.223 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.093 0 Td [(y)]TJ/F7 6.9738 Tf 4.884 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.256 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +/F44 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 115.441 0 Td [(y)]TJ/F44 7.5716 Tf 5.2 -1.494 Td [(:)-13(,)-12(:)]TJ 0 g 0 G -/F11 9.9626 Tf -135.822 -17.433 Td [(A)]TJ +/F42 9.9626 Tf -130.23 -19.131 Td [(A)]TJ 0 g 0 G -/F8 9.9626 Tf 12.453 0 Td [(is)-333(the)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 118.943 0 Td [(A)]TJ +/F44 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F42 9.9626 Tf 118.41 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 228.797 525.728 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 517.986 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F11 9.9626 Tf 234.775 517.16 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\014)]TJ/F27 9.9626 Tf 71.239 0 Td [(Subroutine)]TJ +/F42 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F44 9.9626 Tf 7.318 0 Td [(,)]TJ/F42 9.9626 Tf 5.275 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(,)]TJ/F42 9.9626 Tf 5.106 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(,)]TJ/F50 9.9626 Tf 5.106 0 Td [(a)]TJ/F44 9.9626 Tf 5.385 0 Td [(,)]TJ/F50 9.9626 Tf 5.355 0 Td [(b)]TJ/F41 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ ET q -1 0 0 1 228.797 513.374 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 505.633 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F8 9.9626 Tf 234.775 504.806 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F44 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 370.782 505.006 cm +1 0 0 1 373.603 497.264 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 504.806 Td [(spmm)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F44 9.9626 Tf 376.592 497.065 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 370.782 493.05 cm +1 0 0 1 373.603 485.309 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 492.851 Td [(spmm)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 376.592 485.11 Td [(spmm)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 370.782 481.095 cm +1 0 0 1 373.603 473.354 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 480.896 Td [(spmm)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F44 9.9626 Tf 376.592 473.154 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 370.782 469.14 cm +1 0 0 1 373.603 461.398 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 468.941 Td [(spmm)]TJ +/F44 9.9626 Tf 376.592 461.199 Td [(spmm)]TJ ET q -1 0 0 1 228.797 465.155 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 457.413 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 437.116 Td [(T)83(able)-333(12:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 278.277 429.035 Td [(T)92(able)-250(12:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F49 9.9626 Tf -107.398 -24.261 Td [(call)]TJ 0 g 0 G + [-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + -14.944 -11.955 Td [(call)]TJ 0 g 0 G -/F30 9.9626 Tf -125.681 -30.379 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(&)]TJ 67.994 -11.955 Td [(&)-525(trans,)-525(work\051)]TJ + [-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(trans,)-525(work\051)]TJ 0 g 0 G -/F27 9.9626 Tf -67.994 -19.422 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -5.23 -22.618 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -18.927 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -20.626 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -18.926 Td [(alpha)]TJ + 0 -20.626 Td [(alpha)]TJ 0 g 0 G -/F8 9.9626 Tf 32.032 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.005 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +/F44 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F50 9.9626 Tf 44.368 0 Td [(a)]TJ/F44 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(global)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(12)]TJ + [-250(12)]TJ 0 g 0 G [(.)]TJ 0 g 0 G 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[(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.242 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 211.183 cm +1 0 0 1 324.173 212.882 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 210.983 Td [(Tspmat)]TJ +/F49 9.9626 Tf 327.311 212.682 Td [(Tspmat)]TJ ET q -1 0 0 1 362.736 211.183 cm +1 0 0 1 359.321 212.882 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.874 210.983 Td [(type)]TJ +/F49 9.9626 Tf 362.459 212.682 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -236.091 -18.926 Td [(x)]TJ +/F41 9.9626 Tf -232.675 -20.625 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.614 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td 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[(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -36.529 Td [(49)]TJ 0 g 0 G @@ -11751,292 +12276,297 @@ ET endstream endobj -1202 0 obj +1185 0 obj << -/Length 6783 +/Length 7154 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(4.13)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ ET q -1 0 0 1 209.121 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 204.216 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 213.156 706.129 Td [(spsm)-375(|)-375(T)94(riangular)-375(System)-375(Solv)31(e)]TJ/F8 9.9626 Tf -62.451 -19.095 Td [(This)-333(subroutine)-334(computes)-333(the)-333(T)83(riangular)-333(System)-334(S)1(o)-1(l)1(v)27(e:)]TJ/F11 9.9626 Tf 121.692 -35.01 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -77.312 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -85.837 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.432 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -85.837 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -79.119 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -87.644 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -87.644 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -80.399 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -88.924 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.432 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ/F8 9.9626 Tf -195.672 -37.999 Td [(where:)]TJ +/F41 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F44 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F42 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.639 0 Td [(T)]TJ/F73 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F44 7.5716 Tf 6.228 0 Td [(1)]TJ/F42 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F73 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F44 7.5716 Tf 6.227 0 Td [(1)]TJ/F42 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.639 0 Td [(T)]TJ/F73 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F44 7.5716 Tf 6.228 0 Td [(1)]TJ/F42 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F75 10.3811 Tf 15.536 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.639 0 Td [(T)]TJ/F73 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F42 7.5716 Tf 6.421 0 Td [(T)]TJ/F42 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F73 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F42 7.5716 Tf 6.42 0 Td [(T)]TJ/F42 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.639 0 Td [(T)]TJ/F73 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F42 7.5716 Tf 6.421 0 Td [(T)]TJ/F42 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F75 10.3811 Tf 15.536 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.639 0 Td [(T)]TJ/F73 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F42 7.5716 Tf 6.61 0 Td [(H)]TJ/F42 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F73 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F42 7.5716 Tf 6.61 0 Td [(H)]TJ/F42 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F75 10.3811 Tf 7.267 0 Td [(+)]TJ/F50 9.9626 Tf 10.504 0 Td [(b)]TJ/F42 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F73 10.3811 Tf 15.193 0 Td [(\040)]TJ/F50 9.9626 Tf 20.593 0 Td [(a)]TJ/F42 9.9626 Tf 5.639 0 Td [(T)]TJ/F73 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F42 7.5716 Tf 6.61 0 Td [(H)]TJ/F42 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F75 10.3811 Tf 15.536 0 Td [(+)]TJ/F50 9.9626 Tf 10.505 0 Td [(b)]TJ/F42 9.9626 Tf 5.648 0 Td [(y)]TJ/F44 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ 0 g 0 G -/F11 9.9626 Tf -14.944 -21.063 Td [(x)]TJ +/F42 9.9626 Tf -14.65 -21.265 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.093 0 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.255 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +/F44 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 115.61 0 Td [(x)]TJ/F44 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F11 9.9626 Tf -137.083 -19.948 Td [(y)]TJ +/F42 9.9626 Tf -131.167 -20.218 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 10.223 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.093 0 Td [(y)]TJ/F7 6.9738 Tf 4.884 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.256 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +/F44 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 115.441 0 Td [(y)]TJ/F44 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F11 9.9626 Tf -135.822 -19.948 Td [(T)]TJ +/F42 9.9626 Tf -130.599 -20.218 Td [(T)]TJ 0 g 0 G -/F8 9.9626 Tf 12.187 0 Td [(is)-333(the)-334(global)-333(sparse)-333(blo)-28(c)28(k)-334(triangul)1(a)-1(r)-333(submatrix)]TJ/F11 9.9626 Tf 206.78 0 Td [(T)]TJ +/F44 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F42 9.9626 Tf 206.797 0 Td [(T)]TJ 0 g 0 G - -218.967 -21.441 Td [(D)]TJ + -218.159 -21.712 Td [(D)]TJ 0 g 0 G -/F8 9.9626 Tf 13.506 0 Td [(is)-333(the)-334(scaling)-333(diagonal)-333(matrix.)]TJ +/F44 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F49 9.9626 Tf 6.894 -21.266 Td [(call)]TJ 0 g 0 G + [-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + -14.944 -11.955 Td [(call)]TJ 0 g 0 G -/F30 9.9626 Tf -13.506 -23.814 Td [(call)-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(call)-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info,&)]TJ 67.994 -11.955 Td [(&)-525(trans,)-525(unit,)-525(choice,)-525(diag,)-525(work\051)]TJ + [-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info,)-525(trans,)-525(unit,)-525(choice,)-525(diag,)-525(work\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 228.797 335.134 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 339.439 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F11 9.9626 Tf 234.775 326.566 Td [(T)]TJ/F8 9.9626 Tf 7.206 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(D)]TJ/F8 9.9626 Tf 8.525 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\014)]TJ/F27 9.9626 Tf 56.892 0 Td [(Subroutine)]TJ +/F42 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F44 9.9626 Tf 6.451 0 Td [(,)]TJ/F42 9.9626 Tf 5.275 0 Td [(x)]TJ/F44 9.9626 Tf 5.206 0 Td [(,)]TJ/F42 9.9626 Tf 5.106 0 Td [(y)]TJ/F44 9.9626 Tf 5.105 0 Td [(,)]TJ/F42 9.9626 Tf 5.306 0 Td [(D)]TJ/F44 9.9626 Tf 7.975 0 Td [(,)]TJ/F50 9.9626 Tf 5.105 0 Td [(a)]TJ/F44 9.9626 Tf 5.385 0 Td [(,)]TJ/F50 9.9626 Tf 5.355 0 Td [(b)]TJ/F41 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ ET q -1 0 0 1 228.797 322.78 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 327.085 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F8 9.9626 Tf 234.775 314.213 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F44 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 370.782 314.412 cm +1 0 0 1 373.603 318.716 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 314.213 Td [(spsm)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F44 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 370.782 302.457 cm +1 0 0 1 373.603 306.761 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 302.257 Td [(spsm)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 376.592 306.562 Td [(spsm)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 370.782 290.501 cm +1 0 0 1 373.603 294.806 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 290.302 Td [(spsm)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F44 9.9626 Tf 376.592 294.607 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 370.782 278.546 cm +1 0 0 1 373.603 282.851 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 278.347 Td [(spsm)]TJ +/F44 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ ET q -1 0 0 1 228.797 274.561 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 278.866 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 246.522 Td [(T)83(able)-333(13:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 278.277 250.487 Td [(T)92(able)-250(13:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -125.681 -35.492 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -127.572 -38.916 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.442 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -21.712 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -21.442 Td [(alpha)]TJ + 0 -21.713 Td [(alpha)]TJ 0 g 0 G -/F8 9.9626 Tf 32.032 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.005 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +/F44 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F50 9.9626 Tf 44.368 0 Td [(a)]TJ/F44 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(global)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(13)]TJ + [-250(13)]TJ 0 g 0 G [(.)]TJ 0 g 0 G - 141.968 -29.888 Td [(50)]TJ + 141.967 -29.888 Td [(50)]TJ 0 g 0 G ET endstream endobj -1213 0 obj +1196 0 obj << -/Length 7790 +/Length 7295 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(t)]TJ +/F41 9.9626 Tf 99.895 706.129 Td [(t)]TJ 0 g 0 G -/F8 9.9626 Tf 9.437 0 Td [(the)-333(global)-334(p)-27(ortion)-334(of)-333(the)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 172.603 0 Td [(T)]TJ/F8 9.9626 Tf 7.206 0 Td [(.)]TJ -164.339 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-333(in)]TJ/F14 9.9626 Tf 176.118 0 Td [(x)]TJ +/F44 9.9626 Tf 8.299 0 Td [(the)-250(global)-250(portion)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F42 9.9626 Tf 171.221 0 Td [(T)]TJ/F44 9.9626 Tf 6.451 0 Td [(.)]TJ -161.064 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(type)-250(speci\002ed)-250(in)-250(\247)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 7.748 0 Td [(3)]TJ + [-250(3)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -208.773 -20.65 Td [(x)]TJ +/F41 9.9626 Tf -24.907 -20.65 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.614 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 589.838 Td [(T)]TJ +/F49 9.9626 Tf 389.002 589.838 Td [(T)]TJ ET q 1 0 0 1 394.86 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 589.838 Td [(vect)]TJ +/F49 9.9626 Tf 397.998 589.838 Td [(vect)]TJ ET q 1 0 0 1 419.547 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 589.838 Td [(type)]TJ +/F49 9.9626 Tf 422.685 589.838 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-342(n)28(um)28(b)-28(ers)-342(of)-342(t)28(yp)-28(e)-342(sp)-28(eci\014ed)-342(in)-341(T)83(able)]TJ +/F44 9.9626 Tf -297.883 -11.955 Td [(containing)-278(numbers)-278(of)-279(type)-278(speci\002ed)-278(in)-278(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-342(13)]TJ + [-278(13)]TJ 0 g 0 G - [(.)-470(The)-342(rank)-342(of)]TJ/F11 9.9626 Tf 274.694 0 Td [(x)]TJ/F8 9.9626 Tf 9.101 0 Td [(m)28(ust)-342(b)-28(e)]TJ -283.795 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.466 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ + [(.)-395(The)-278(rank)-278(of)]TJ/F42 9.9626 Tf 275.498 0 Td [(x)]TJ/F44 9.9626 Tf 7.977 0 Td [(must)-278(be)]TJ -283.475 -11.956 Td [(the)-250(same)-250(of)]TJ/F42 9.9626 Tf 52.946 0 Td [(y)]TJ/F44 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -83.615 -20.649 Td [(b)-32(eta)]TJ +/F41 9.9626 Tf -82.959 -20.649 Td [(beta)]TJ 0 g 0 G -/F8 9.9626 Tf 26.941 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.468 0 Td [(\014)]TJ/F8 9.9626 Tf 6.161 0 Td [(.)]TJ -53.663 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(ind)1(ic)-1(ated)-333(in)-333(T)83(able)]TJ +/F44 9.9626 Tf 24.349 0 Td [(the)-250(scalar)]TJ/F50 9.9626 Tf 44.617 0 Td [(b)]TJ/F44 9.9626 Tf 5.524 0 Td [(.)]TJ -49.583 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(13)]TJ + [-250(13)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -20.65 Td [(y)]TJ +/F41 9.9626 Tf -24.907 -20.65 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.445 0 Td [(y)]TJ/F44 9.9626 Tf 5.105 0 Td [(.)]TJ -166.164 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 428.986 Td [(T)]TJ +/F49 9.9626 Tf 389.002 428.986 Td [(T)]TJ ET q 1 0 0 1 394.86 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 428.986 Td [(vect)]TJ +/F49 9.9626 Tf 397.998 428.986 Td [(vect)]TJ ET q 1 0 0 1 419.547 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 428.986 Td [(type)]TJ +/F49 9.9626 Tf 422.685 428.986 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-345(n)28(um)28(b)-28(ers)-345(of)-345(t)28(yp)-28(e)-345(sp)-28(eci\014ed)-345(in)-345(T)84(able)]TJ +/F44 9.9626 Tf -297.883 -11.955 Td [(containing)-280(numbers)-280(of)-280(type)-280(speci\002ed)-280(in)-280(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-345(13)]TJ + [-280(13)]TJ 0 g 0 G - [(.)-479(The)-345(rank)-345(of)]TJ/F11 9.9626 Tf 275.086 0 Td [(y)]TJ/F8 9.9626 Tf 8.678 0 Td [(m)28(ust)-345(b)-28(e)]TJ -283.764 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.466 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ + [(.)-400(The)-280(rank)-280(of)]TJ/F42 9.9626 Tf 275.562 0 Td [(y)]TJ/F44 9.9626 Tf 7.895 0 Td [(must)-280(be)]TJ -283.457 -11.955 Td [(the)-250(same)-250(of)]TJ/F42 9.9626 Tf 53.115 0 Td [(x)]TJ/F44 9.9626 Tf 5.206 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -84.067 -20.65 Td [(desc)]TJ +/F41 9.9626 Tf -83.228 -20.65 Td [(desc)]TJ ET q -1 0 0 1 121.81 384.625 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 384.625 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 384.426 Td [(a)]TJ +/F41 9.9626 Tf 123.397 384.426 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 276.779 336.805 cm +1 0 0 1 273.363 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 336.605 Td [(desc)]TJ +/F49 9.9626 Tf 276.501 336.605 Td [(desc)]TJ ET q -1 0 0 1 301.466 336.805 cm +1 0 0 1 298.05 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 336.605 Td [(type)]TJ +/F49 9.9626 Tf 301.189 336.605 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.631 -20.649 Td [(trans)]TJ +/F41 9.9626 Tf -222.215 -20.649 Td [(trans)]TJ 0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(sp)-28(ecify)-333(with)]TJ/F17 9.9626 Tf 55.68 0 Td [(unitd)]TJ/F8 9.9626 Tf 25.726 0 Td [(the)-333(op)-28(eration)-333(to)-334(p)-27(erform.)]TJ +/F44 9.9626 Tf 27.666 0 Td [(specify)-250(with)]TJ/F42 9.9626 Tf 56.398 0 Td [(unitd)]TJ/F44 9.9626 Tf 24.637 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ 0 g 0 G -/F27 9.9626 Tf -87.108 -20.65 Td [(trans)-383(=)-384('N')]TJ +/F41 9.9626 Tf -83.794 -20.65 Td [(trans)-250(=)-250('N')]TJ 0 g 0 G -/F8 9.9626 Tf 62.489 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(no)-333(transp)-28(osed)-333(matrix)]TJ +/F44 9.9626 Tf 52.522 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(transposed)-250(matrix)]TJ 0 g 0 G -/F27 9.9626 Tf -62.489 -16.303 Td [(trans)-383(=)-384('T')]TJ +/F41 9.9626 Tf -52.522 -16.303 Td [(trans)-250(=)-250('T')]TJ 0 g 0 G -/F8 9.9626 Tf 61.493 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(transp)-28(osed)-333(matrix.)]TJ +/F44 9.9626 Tf 50.869 0 Td [(the)-250(operation)-250(is)-250(with)-250(transposed)-250(matrix.)]TJ 0 g 0 G -/F27 9.9626 Tf -61.493 -16.302 Td [(trans)-383(=)-384('C')]TJ +/F41 9.9626 Tf -50.869 -16.302 Td [(trans)-250(=)-250('C')]TJ 0 g 0 G -/F8 9.9626 Tf 61.797 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(conjugate)-333(transp)-28(osed)-333(matrix.)]TJ -61.797 -20.65 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(tr)-28(ans)]TJ/F8 9.9626 Tf 27.052 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(N)]TJ/F8 9.9626 Tf -77.004 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-333(v)55(ariable.)]TJ +/F44 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 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[(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.875 0 Td [(=y)]TJ/F8 9.9626 Tf 10.223 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(:)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -199.851 -21.715 Td [(psb_gediv\050x,)-525(y,)-525(desc_a,)-525(info,)-525([flag\051)]TJ +/F41 11.9552 Tf 156.993 706.129 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ/F44 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(inverse)-250(of)-250(a)-250(vector)]TJ/F42 9.9626 Tf 252.097 0 Td [(x)]TJ/F44 9.9626 Tf 7.696 0 Td [(and)-250(puts)-250(it)-250(into)]TJ/F42 9.9626 Tf 69.951 0 Td [(y)]TJ/F44 9.9626 Tf -184.401 -18.334 Td [(/)]TJ/F73 10.3811 Tf 9.054 0 Td [(\040)]TJ/F44 9.9626 Tf 13.272 0 Td [(1)-13(/)]TJ/F42 9.9626 Tf 11.562 0 Td [(x)]TJ/F75 10.3811 Tf 5.33 0 Td [(\050)]TJ/F42 9.9626 Tf 4.204 0 Td [(i)]TJ/F75 10.3811 Tf 3.089 0 Td [(\051)]TJ/F44 9.9626 Tf 4.149 0 Td [(.)]TJ/F49 9.9626 Tf -181.059 -18.334 Td [(psb_geinv\050x,)-525(y,)-525(desc_a,)-525(info,)-525([flag\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 183.665 620.263 cm -[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +1 0 0 1 183.343 637.562 cm +[]0 d 0 J 0.398 w 0 0 m 176.815 0 l S Q BT -/F11 9.9626 Tf 189.642 611.695 Td [(=)]TJ/F8 9.9626 Tf 4.982 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 97.558 0 Td [(F)96(unction)]TJ +/F44 9.9626 Tf 189.446 628.995 Td [(/)-12(,)]TJ/F42 9.9626 Tf 11.437 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(,)]TJ/F42 9.9626 Tf 5.106 0 Td [(y)]TJ/F41 9.9626 Tf 99.042 0 Td [(Function)]TJ ET q -1 0 0 1 183.665 607.909 cm -[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +1 0 0 1 183.343 625.209 cm +[]0 d 0 J 0.398 w 0 0 m 176.815 0 l S Q BT -/F8 9.9626 Tf 189.642 599.341 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F44 9.9626 Tf 189.321 616.641 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 325.649 599.54 cm +1 0 0 1 326.555 616.84 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 328.638 599.341 Td [(gediv)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F44 9.9626 Tf 329.544 616.641 Td [(geinv)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 325.649 587.585 cm +1 0 0 1 326.555 604.885 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 328.638 587.386 Td [(gediv)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 329.544 604.686 Td [(geinv)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 325.649 575.63 cm +1 0 0 1 326.555 592.93 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 328.638 575.431 Td [(gediv)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F44 9.9626 Tf 329.544 592.731 Td [(geinv)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 325.649 563.675 cm +1 0 0 1 326.555 580.975 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 328.638 563.475 Td [(gediv)]TJ +/F44 9.9626 Tf 329.544 580.775 Td [(geinv)]TJ ET q -1 0 0 1 183.665 559.69 cm -[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +1 0 0 1 183.343 576.99 cm +[]0 d 0 J 0.398 w 0 0 m 176.815 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 225.577 531.65 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 227.467 548.611 Td [(T)92(able)-250(16:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -125.682 -33.312 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -127.572 -29.451 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.844 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -18.492 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.844 Td [(x)]TJ + 0 -18.491 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -165.442 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F42 9.9626 Tf 174.06 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -164.321 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ +/F49 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q -1 0 0 1 283.148 411.028 cm +1 0 0 1 280.646 434.555 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 286.286 410.829 Td [(T)]TJ +/F49 9.9626 Tf 283.785 434.356 Td [(T)]TJ ET q -1 0 0 1 292.144 411.028 cm +1 0 0 1 289.642 434.555 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 295.282 410.829 Td [(vect)]TJ +/F49 9.9626 Tf 292.781 434.356 Td [(vect)]TJ ET q -1 0 0 1 316.831 411.028 cm +1 0 0 1 314.33 434.555 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 319.969 410.829 Td [(type)]TJ +/F49 9.9626 Tf 317.468 434.356 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.319 -11.955 Td [(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-333(in)-334(T)84(able)]TJ +/F44 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-334(2)]TJ + [-250(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.844 Td [(y)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -164.99 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ +/F41 9.9626 Tf -24.907 -18.492 Td [(desc)]TJ ET q -1 0 0 1 283.148 331.408 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 120.408 404.108 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 286.286 331.209 Td [(T)]TJ +/F41 9.9626 Tf 123.397 403.909 Td [(a)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +0 0 1 rg 0 0 1 RG +/F49 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q -1 0 0 1 292.144 331.408 cm +1 0 0 1 273.363 356.288 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 295.282 331.209 Td [(vect)]TJ +/F49 9.9626 Tf 276.501 356.088 Td [(desc)]TJ ET q -1 0 0 1 316.831 331.408 cm +1 0 0 1 298.05 356.288 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 319.969 331.209 Td [(type)]TJ +/F49 9.9626 Tf 301.189 356.088 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.319 -11.955 Td [(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-333(in)-334(T)84(able)]TJ -0 0 1 rg 0 0 1 RG - [-334(2)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - [(.)]TJ +/F41 9.9626 Tf -222.215 -18.491 Td [(\003ag)]TJ +0 g 0 G +/F44 9.9626 Tf 21.589 0 Td [(check)-278(if)-279(any)-278(of)-278(the)]TJ/F42 9.9626 Tf 84.227 0 Td [(x)]TJ/F75 10.3811 Tf 5.329 0 Td [(\050)]TJ/F42 9.9626 Tf 4.205 0 Td [(i)]TJ/F75 10.3811 Tf 3.088 0 Td [(\051)-340(=)]TJ/F44 9.9626 Tf 19.049 0 Td [(0,)-285(and)-279(in)-278(case)-279(r)18(eturns)-278(err)18(or)-278(halting)-279(the)-278(compu-)]TJ -112.58 -11.955 Td [(tation.)]TJ 0 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf 40.677 0 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -108.97 -11.955 Td [(Speci\002ed)-250(as:)-310(the)-250(logical)-250(value)]TJ/F49 9.9626 Tf 132.133 0 Td [(flag)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(=)]TJ +0 g 0 G + [(.true.)]TJ +0 g 0 G +/F41 9.9626 Tf -157.04 -18.492 Td [(On)-250(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.844 Td [(desc)]TJ +0 g 0 G + 0 -18.491 Td [(y)]TJ +0 g 0 G +/F44 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F42 9.9626 Tf 160.849 0 Td [(x)]TJ/F44 9.9626 Tf 5.206 0 Td [(.)]TJ -151.669 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +0 0 1 rg 0 0 1 RG +/F49 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q -1 0 0 1 121.81 299.609 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 280.646 205.171 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 125.247 299.41 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F49 9.9626 Tf 283.785 204.972 Td [(T)]TJ ET q -1 0 0 1 276.779 251.788 cm +1 0 0 1 289.642 205.171 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 251.589 Td [(desc)]TJ +/F49 9.9626 Tf 292.781 204.972 Td [(vect)]TJ ET q -1 0 0 1 301.466 251.788 cm +1 0 0 1 314.33 205.171 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 251.589 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -225.631 -19.844 Td [(\015ag)]TJ +/F49 9.9626 Tf 317.468 204.972 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 22.645 0 Td [(c)28(hec)28(k)-352(if)-352(an)28(y)-352(of)-351(the)]TJ/F11 9.9626 Tf 84.21 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-308(=)-309(0,)-356(and)-351(in)-352(case)-352(returns)-351(error)-352(halting)-351(the)-352(compu-)]TJ -94.497 -11.955 Td [(tation.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 43.898 0 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -116.542 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(th)1(e)-334(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(flag=.true.)]TJ -0 g 0 G -/F27 9.9626 Tf -156.691 -19.844 Td [(On)-383(Return)]TJ +/F44 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +0 0 1 rg 0 0 1 RG + [-250(16)]TJ 0 g 0 G + [(.)]TJ 0 g 0 G - 0 -19.844 Td [(x)]TJ +/F41 9.9626 Tf -24.907 -18.492 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(submatrix)]TJ/F11 9.9626 Tf 162.364 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -154.179 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td 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187.526 0 l S -Q -BT -/F8 9.9626 Tf 183.966 581.727 Td [(In)28(teger)-9028(psb)]TJ -ET -q -1 0 0 1 319.972 581.926 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 322.961 581.727 Td [(halo)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ -ET -q -1 0 0 1 319.972 569.971 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 322.961 569.772 Td [(halo)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ -ET -q -1 0 0 1 319.972 558.016 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 322.961 557.817 Td [(halo)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ -ET -q -1 0 0 1 319.972 546.061 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 322.961 545.862 Td [(halo)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ -ET -q -1 0 0 1 319.972 534.106 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 322.961 533.906 Td [(halo)]TJ -ET 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cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 230.155 460.772 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-804(w)-43(o)-43(r)-43(k)-247(,)]TJ/F27 9.9626 Tf 91.304 0 Td [(d)-39(a)-39(t)-40(a)]TJ/F8 9.9626 Tf 24.571 0 Td [(\051)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -246.135 -26.961 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.659 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.658 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ -ET -q -1 0 0 1 385.864 346.872 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 389.002 346.673 Td [(T)]TJ -ET -q -1 0 0 1 394.86 346.872 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 397.998 346.673 Td [(vect)]TJ -ET -q -1 0 0 1 419.547 346.872 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 422.685 346.673 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - [-333(17)]TJ -0 g 0 G - [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.658 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 315.259 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 315.06 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 312.036 267.438 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 315.174 267.239 Td [(desc)]TJ -ET -q -1 0 0 1 336.723 267.438 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 339.861 267.239 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.658 Td [(w)32(ork)]TJ -0 g 0 G -/F8 9.9626 Tf 29.432 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 220.756 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -251.357 -19.659 Td [(data)]TJ -0 g 0 G -/F8 9.9626 Tf 26.941 0 Td [(index)-333(list)-334(selector.)]TJ -2.034 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(in)28(teger.)-408(V)84(alues:)]TJ/F30 9.9626 Tf 136.479 0 Td 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[(30)-4107(30)-1754(1.0)-4000(30)-4107(62)-1753(2.0)]TJ 0 -10.959 Td [(31)-4107(31)-1754(1.0)-4000(31)-4107(63)-1753(2.0)]TJ 0 -10.959 Td [(32)-4107(32)-1754(1.0)-4000(32)-4107(64)-1753(2.0)]TJ 0 -10.959 Td [(33)-4107(33)-1754(2.0)-4000(33)-4107(25)-1753(1.0)]TJ 0 -10.959 Td [(34)-4107(34)-1754(2.0)-4000(34)-4107(26)-1753(1.0)]TJ 0 -10.959 Td [(35)-4107(35)-1754(2.0)-4000(35)-4107(27)-1753(1.0)]TJ 0 -10.959 Td [(36)-4107(36)-1754(2.0)-4000(36)-4107(28)-1753(1.0)]TJ 0 -10.959 Td [(37)-4107(37)-1754(2.0)-4000(37)-4107(29)-1753(1.0)]TJ 0 -10.958 Td [(38)-4107(38)-1754(2.0)-4000(38)-4107(30)-1753(1.0)]TJ 0 -10.959 Td [(39)-4107(39)-1754(2.0)-4000(39)-4107(31)-1753(1.0)]TJ 0 -10.959 Td [(40)-4107(40)-1754(2.0)-4000(40)-4107(32)-1753(1.0)]TJ 0 g 0 G 0 g 0 G -/F8 9.9626 Tf 100.66 -105.903 Td [(61)]TJ +/F44 9.9626 Tf 94.641 -105.903 Td [(61)]TJ 0 g 0 G ET endstream endobj -1308 0 obj +1287 0 obj << -/Length 8492 +/Length 7519 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(5.2)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ ET q -1 0 0 1 202.396 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 198.238 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 206.431 706.129 Td [(o)31(vrl)-375(|)-375(Ov)31(erlap)-375(Up)-31(date)]TJ/F8 9.9626 Tf -55.726 -18.389 Td [(These)-333(subroutines)-334(applies)-333(an)-333(o)27(v)28(erlap)-333(op)-28(erator)-333(to)-333(the)-334(input)-333(v)28(ector:)]TJ/F11 9.9626 Tf 154.475 -22.077 Td [(x)]TJ/F14 9.9626 Tf 8.461 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(Qx)]TJ/F8 9.9626 Tf -175.666 -20.14 Td [(where:)]TJ +/F41 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F44 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F42 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F73 10.3811 Tf 8.097 0 Td [(\040)]TJ/F42 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F44 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ 0 g 0 G -/F11 9.9626 Tf 0 -18.503 Td [(x)]TJ +/F42 9.9626 Tf 0.294 -19.203 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(dense)-333(submatrix)]TJ/F11 9.9626 Tf 131.092 0 Td [(x)]TJ +/F44 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F42 9.9626 Tf 131.351 0 Td [(x)]TJ 0 g 0 G - -141.767 -19.214 Td [(Q)]TJ + -141.607 -19.564 Td [(Q)]TJ 0 g 0 G -/F8 9.9626 Tf 12.857 0 Td [(is)-333(the)-334(o)28(v)28(erlap)-333(op)-28(erator;)-333(it)-334(is)-333(the)-333(co)-1(mp)-27(osition)-334(of)-333(t)28(w)28(o)-334(op)-27(erators)]TJ/F11 9.9626 Tf 271.842 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.494 Td [(a)]TJ/F8 9.9626 Tf 8.141 1.494 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(.)]TJ +/F44 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F42 9.9626 Tf 271.931 0 Td [(P)]TJ/F42 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F44 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F42 9.9626 Tf 19.681 0 Td [(P)]TJ/F42 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F44 9.9626 Tf 5.401 -3.616 Td [(.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 228.797 587.879 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 581.71 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F11 9.9626 Tf 234.775 579.311 Td [(x)]TJ/F27 9.9626 Tf 120.41 0 Td [(Subroutine)]TJ +/F42 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F41 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ ET q -1 0 0 1 228.797 575.525 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 569.356 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F8 9.9626 Tf 234.775 566.957 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F44 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q -1 0 0 1 370.782 567.156 cm +1 0 0 1 373.603 560.988 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 566.957 Td [(o)28(vrl)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F44 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q -1 0 0 1 370.782 555.201 cm +1 0 0 1 373.603 549.032 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 555.002 Td [(o)28(vrl)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F44 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q -1 0 0 1 370.782 543.246 cm +1 0 0 1 373.603 537.077 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 543.047 Td [(o)28(vrl)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F44 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q -1 0 0 1 370.782 531.291 cm +1 0 0 1 373.603 525.122 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 531.091 Td [(o)28(vrl)]TJ +/F44 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ ET q -1 0 0 1 228.797 527.306 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 230.392 521.137 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 499.266 Td [(T)83(able)-333(18:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F44 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -124.304 -28.465 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ -ET -q -1 0 0 1 201.669 471 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 206.027 470.801 Td [(o)-137(v)-138(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ -ET -q -1 0 0 1 276.854 471 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 280.965 470.801 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ -ET -q -1 0 0 1 201.669 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 206.027 458.846 Td [(o)-137(v)-138(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ -ET -q -1 0 0 1 276.854 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 280.965 458.846 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-846(u)-86(p)-86(d)-86(a)-85(t)-86(e)3(=)-13(u)-101(p)-102(d)-102(a)-102(t)-102(e)]TJ -ET -q -1 0 0 1 415.44 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 419.443 458.846 Td [(t)-102(y)-102(p)-101(e)-365(,)-813(w)-52(o)-51(r)-52(k)37(=)38(w)-52(o)-52(r)-51(k)-158(\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F49 9.9626 Tf -127.572 -23.549 Td [(call)]TJ +0 g 0 G + [-525(psb_ovrl\050x,)-525(desc_a,)-525(info\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 0 -11.955 Td [(call)]TJ +0 g 0 G + [-525(psb_ovrl\050x,)-525(desc_a,)-525(info,)-525(update)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(=)]TJ 0 g 0 G + [(update_type,)-525(work)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(=)]TJ 0 g 0 G + [(work\051)]TJ 0 g 0 G -/F27 9.9626 Tf -268.738 -25.406 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.214 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.564 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.214 Td [(x)]TJ + 0 -19.564 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 89.687 0 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -79.948 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F49 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 347.39 cm +1 0 0 1 436.673 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 347.191 Td [(T)]TJ +/F49 9.9626 Tf 439.811 349.291 Td [(T)]TJ ET q -1 0 0 1 445.669 347.39 cm +1 0 0 1 445.669 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 347.191 Td [(vect)]TJ +/F49 9.9626 Tf 448.807 349.291 Td [(vect)]TJ ET q -1 0 0 1 470.356 347.39 cm +1 0 0 1 470.356 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 347.191 Td [(type)]TJ +/F49 9.9626 Tf 473.495 349.291 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ +/F44 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(18)]TJ + [-250(18)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.214 Td [(desc)]TJ +/F41 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ ET q -1 0 0 1 172.619 316.221 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.218 317.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 316.022 Td [(a)]TJ +/F41 9.9626 Tf 174.207 317.772 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 268.401 cm +1 0 0 1 360.068 270.151 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 268.201 Td [(desc)]TJ +/F49 9.9626 Tf 363.206 269.951 Td [(desc)]TJ ET q -1 0 0 1 387.532 268.401 cm +1 0 0 1 384.755 270.151 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 268.201 Td [(type)]TJ +/F49 9.9626 Tf 387.893 269.951 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.214 Td [(up)-32(date)]TJ +/F41 9.9626 Tf -258.11 -19.564 Td [(update)]TJ 0 g 0 G -/F8 9.9626 Tf 39.67 0 Td [(Up)-28(date)-333(op)-28(erator.)]TJ +/F44 9.9626 Tf 36.523 0 Td [(Update)-250(operator)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -14.764 -31.169 Td [(up)-32(date)-383(=)-384(psb)]TJ +/F41 9.9626 Tf -11.617 -31.519 Td [(update)-250(=)-250(psb)]TJ ET q -1 0 0 1 244.786 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 235.367 219.067 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 248.223 217.818 Td [(none)]TJ +/F41 9.9626 Tf 238.356 218.868 Td [(none)]TJ ET q -1 0 0 1 272.62 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 261.648 219.067 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 281.039 217.818 Td [(Do)-333(nothing;)]TJ +/F44 9.9626 Tf 269.619 218.868 Td [(Do)-250(nothing;)]TJ 0 g 0 G -/F27 9.9626 Tf -105.428 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ +/F41 9.9626 Tf -94.008 -15.579 Td [(update)-250(=)-250(psb)]TJ ET q -1 0 0 1 244.786 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 235.367 203.488 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 248.223 202.589 Td [(add)]TJ +/F41 9.9626 Tf 238.356 203.289 Td [(add)]TJ ET q -1 0 0 1 267.21 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 256.109 203.488 cm +[]0 d 0 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175.611 132.281 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(integer)-250(variable.)]TJ 0 g 0 G 141.968 -29.888 Td [(62)]TJ 0 g 0 G @@ -14122,53 +14615,53 @@ ET endstream endobj -1320 0 obj +1296 0 obj << -/Length 5866 +/Length 5447 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(w)32(ork)]TJ +/F41 9.9626 Tf 99.895 706.129 Td [(work)]TJ 0 g 0 G -/F8 9.9626 Tf 29.432 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(dimensional)-334(ar)1(ra)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 252.609 0 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[(\000)]TJ/F44 9.9626 Tf 8.194 0 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F41 9.9626 Tf -301.107 -20.909 Td [(On)-250(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.505 Td [(On)-383(En)32(try)]TJ 0 g 0 G +/F44 9.9626 Tf 166.874 -29.888 Td [(66)]TJ 0 g 0 G - 0 -19.505 Td [(lo)-32(c)]TJ ET -q -1 0 0 1 165.713 346.412 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 169.151 346.213 Td [(x)]TJ + +endstream +endobj +1328 0 obj +<< +/Length 1417 +>> +stream +0 g 0 G 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.117 0 Td [(g)-36(l)-20(ob)]TJ +0 g 0 G +BT +/F41 9.9626 Tf 99.895 706.129 Td [(glob)]TJ ET q -1 0 0 1 374.277 346.412 cm +1 0 0 1 120.976 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 377.266 346.213 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -207.349 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-56(j)1(e)-1(ct)-254(of)-255(t)28(yp)-28(e)]TJ +/F41 9.9626 Tf 123.965 706.129 Td [(x)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(The)-250(array)-250(wher)18(e)-250(the)-250(local)-250(parts)-250(must)-250(be)-250(gather)18(ed.)]TJ -9.126 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(or)-250(two)-250(array)-250(with)-250(the)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F49 9.9626 Tf 202.459 0 Td [(ALLOCATABLE)]TJ +0 g 0 G +/F44 9.9626 Tf 60.024 0 Td [(attribute.)]TJ +0 g 0 G +/F41 9.9626 Tf -287.39 -19.925 Td [(info)]TJ +0 g 0 G +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +0 g 0 G + 141.968 -500.124 Td [(67)]TJ +0 g 0 G +ET + +endstream +endobj +1335 0 obj +<< +/Length 7178 +>> +stream +0 g 0 G +0 g 0 G +BT +/F41 11.9552 Tf 150.705 706.129 Td [(5.4)-1000(psb)]TJ +ET +q +1 0 0 1 198.238 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S +Q +BT +/F41 11.9552 Tf 201.825 706.129 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ/F44 9.9626 Tf -51.12 -20.363 Td [(These)-223(subr)18(outines)-223(scatters)-224(the)-223(portions)-223(of)-224(global)-223(dense)-223(matrix)-223(owned)-224(by)-223(a)-223(pr)18(o-)]TJ 0 -11.955 Td [(cess)-250(to)-250(all)-250(the)-250(pr)18(ocesses)-250(in)-250(the)-250(pr)18(ocesses)-250(grid.)]TJ/F42 9.9626 Tf 119.478 -26.893 Td [(l)-55(o)-35(c)]TJ +ET +q +1 0 0 1 283.05 647.117 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F42 9.9626 Tf 286.333 646.918 Td [(x)]TJ/F42 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F73 10.3811 Tf 5.642 1.96 Td [(\040)]TJ/F42 9.9626 Tf 13.398 0 Td [(s)-25(c)-40(a)-25(t)-25(t)-25(e)-15(r)]TJ/F75 10.3811 Tf 28.632 0 Td [(\050)]TJ/F42 9.9626 Tf 4.493 0 Td [(g)-25(l)-55(o)-35(b)]TJ +ET +q +1 0 0 1 362.3 647.117 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F42 9.9626 Tf 365.583 646.918 Td [(x)]TJ/F75 10.3811 Tf 5.329 0 Td [(\051)]TJ/F44 9.9626 Tf -220.207 -23.362 Td [(wher)18(e:)]TJ +0 g 0 G +/F42 9.9626 Tf 0.344 -22.091 Td [(g)-25(l)-55(o)-35(b)]TJ +ET +q +1 0 0 1 169.703 601.664 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F42 9.9626 Tf 172.986 601.465 Td [(x)]TJ +0 g 0 G +/F44 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(matrix)]TJ/F42 9.9626 Tf 87.515 0 Td [(g)-25(l)-55(o)-35(b)]TJ +ET +q +1 0 0 1 289.343 601.664 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F42 9.9626 Tf 292.626 601.465 Td [(x)]TJ/F44 7.5716 Tf 5.105 -1.858 Td [(1)-13(:)]TJ/F42 7.5716 Tf 5.963 0 Td [(m)]TJ/F44 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F42 7.5716 Tf 7.856 0 Td [(n)]TJ +0 g 0 G +/F42 9.9626 Tf -166.706 -20.955 Td [(l)-55(o)-35(c)]TJ +ET +q +1 0 0 1 163.696 578.851 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F42 9.9626 Tf 166.979 578.652 Td [(x)]TJ/F42 7.5716 Tf 5.147 -1.96 Td [(i)]TJ +0 g 0 G +/F44 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F42 9.9626 Tf 234.034 0 Td [(i)]TJ/F44 9.9626 Tf 2.964 0 Td [(.)]TJ +0 g 0 G +/F42 9.9626 Tf -266.027 -22.813 Td [(s)-25(c)-40(a)-25(t)-25(t)-25(e)-15(r)]TJ +0 g 0 G +/F44 9.9626 Tf 33.489 0 Td [(is)-250(the)-250(scatter)-250(function.)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +ET +q +1 0 0 1 230.392 532.667 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S +Q +BT +/F42 9.9626 Tf 236.663 524.099 Td [(x)]TJ/F42 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F44 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F42 9.9626 Tf 4.276 0 Td [(y)]TJ/F41 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ +ET +q +1 0 0 1 230.392 520.313 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S +Q +BT +/F44 9.9626 Tf 236.369 511.745 Td [(Integer)-8983(psb)]TJ +ET +q +1 0 0 1 373.603 511.945 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F44 9.9626 Tf 376.592 511.745 Td [(scatter)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +ET +q +1 0 0 1 373.603 499.989 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F44 9.9626 Tf 376.592 499.79 Td [(scatter)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +ET +q +1 0 0 1 373.603 488.034 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F44 9.9626 Tf 376.592 487.835 Td [(scatter)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +ET +q +1 0 0 1 373.603 476.079 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F44 9.9626 Tf 376.592 475.88 Td [(scatter)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +ET +q +1 0 0 1 373.603 464.124 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F44 9.9626 Tf 376.592 463.925 Td [(scatter)]TJ +ET +q +1 0 0 1 230.392 460.139 cm +[]0 d 0 J 0.398 w 0 0 m 184.337 0 l S +Q +0 g 0 G +BT +/F44 9.9626 Tf 278.277 431.76 Td [(T)92(able)-250(20:)-310(Data)-250(types)]TJ +0 g 0 G +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F49 9.9626 Tf -112.628 -28.004 Td [(call)]TJ +0 g 0 G + [-525(psb_scatter\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root,)-525(mold\051)]TJ +0 g 0 G +/F41 9.9626 Tf -14.944 -24.806 Td [(T)90(ype:)]TJ +0 g 0 G +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +0 g 0 G +/F41 9.9626 Tf -29.828 -22.813 Td [(On)-250(Entry)]TJ +0 g 0 G +0 g 0 G + 0 -22.813 Td [(glob)]TJ +ET +q +1 0 0 1 171.786 333.523 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F41 9.9626 Tf 174.774 333.324 Td [(x)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(The)-250(array)-250(that)-250(must)-250(be)-250(scatter)18(ed)-250(into)-250(local)-250(pieces.)]TJ -9.126 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(or)-250(two)-250(array)111(.)]TJ +0 g 0 G +/F41 9.9626 Tf -24.906 -22.814 Td [(desc)]TJ +ET +q +1 0 0 1 171.218 262.89 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F41 9.9626 Tf 174.207 262.69 Td [(a)]TJ +0 g 0 G +/F44 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +0 0 1 rg 0 0 1 RG +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ +ET +q +1 0 0 1 360.068 215.069 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 363.206 214.87 Td [(desc)]TJ +ET +q +1 0 0 1 384.755 215.069 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 387.893 214.87 Td [(type)]TJ +0 g 0 G +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F41 9.9626 Tf -258.11 -22.813 Td [(root)]TJ +0 g 0 G +/F44 9.9626 Tf 23.252 0 Td [(The)-218(pr)18(ocess)-218(that)-218(holds)-219(t)1(he)-219(global)-218(copy)111(.)-299(If)]TJ/F42 9.9626 Tf 179.982 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F75 10.3811 Tf 19.922 0 Td [(=)]TJ/F73 10.3811 Tf 11.086 0 Td [(\000)]TJ/F44 9.9626 Tf 8.194 0 Td [(1)-218(all)-218(the)-218(pr)18(ocesses)-219(have)]TJ -217.53 -11.956 Td [(a)-250(copy)-250(of)-250(the)-250(global)-250(vector)74(.)]TJ 0 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(optional)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-258(as:)-327(an)-258(integer)-259(variable)]TJ/F73 10.3811 Tf 142.917 0 Td [(\000)]TJ/F44 9.9626 Tf 8.194 0 Td [(1)]TJ/F73 10.3811 Tf 8.027 0 Td [(\024)]TJ/F42 9.9626 Tf 11.139 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F73 10.3811 Tf 20.077 0 Td [(\024)]TJ/F42 9.9626 Tf 11.239 0 Td [(n)-80(p)]TJ/F73 10.3811 Tf 13.534 0 Td [(\000)]TJ/F44 9.9626 Tf 10.162 0 Td [(1,)-260(default)]TJ/F49 9.9626 Tf 43.952 0 Td [(psb_root_)]TJ/F44 9.9626 Tf 47.073 0 Td [(,)]TJ -316.314 -11.955 Td [(i.e.)-310(pr)18(ocess)-250(0.)]TJ +0 g 0 G + 141.968 -29.888 Td [(68)]TJ +0 g 0 G +ET + +endstream +endobj +1342 0 obj +<< +/Length 3984 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +BT +/F41 9.9626 Tf 99.895 706.129 Td [(mold)]TJ +0 g 0 G +/F44 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-223(as:)-296(an)-223(object)-223(of)-222(a)-223(class)-223(derived)-223(fr)18(om)]TJ/F49 9.9626 Tf 199.086 0 Td [(psb)]TJ +ET +q +1 0 0 1 340.207 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 343.345 658.308 Td [(T)]TJ +ET +q +1 0 0 1 349.203 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 352.341 658.308 Td [(base)]TJ +ET +q +1 0 0 1 373.89 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 377.028 658.308 Td [(vect)]TJ +ET +q +1 0 0 1 398.577 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 401.716 658.308 Td [(type)]TJ/F44 9.9626 Tf 20.921 0 Td [(;)-232(this)]TJ -297.835 -11.955 Td [(is)-250(only)-250(allowed)-250(when)-250(loc)]TJ +ET +q +1 0 0 1 234.988 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F44 9.9626 Tf 237.976 646.353 Td [(x)-250(is)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F49 9.9626 Tf 50.53 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 298.592 cm +1 0 0 1 304.825 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 298.392 Td [(T)]TJ 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0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F42 9.9626 Tf 175.664 0 Td [(g)-25(l)-55(o)-35(b)]TJ +ET +q +1 0 0 1 321.043 606.702 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F42 9.9626 Tf 324.326 606.502 Td [(x)]TJ/F44 9.9626 Tf 5.205 0 Td [(.)]TJ -204.729 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td 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+/F41 9.9626 Tf -17.156 -13.774 Td [(mg)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.84 Td [(On)-383(En)32(try)]TJ +/F44 9.9626 Tf 19.377 0 Td [(The)-250(total)-250(number)-250(of)-250(global)-250(r)18(ows)-250(in)-250(the)-250(mapping;)]TJ -19.377 -15.594 Td [(The)-250(output)-250(ar)18(guments)-250(ar)18(e:)]TJ 0 g 0 G +/F41 9.9626 Tf 0 -15.594 Td [(nv)]TJ 0 g 0 G - 0 -21.839 Td [(glob)]TJ -ET -q -1 0 0 1 172.397 331.576 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 175.834 331.377 Td [(x)]TJ +/F44 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F49 9.9626 Tf 111.052 0 Td [(pv)]TJ/F44 9.9626 Tf 10.461 0 Td [(;)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(that)-333(m)28(ust)-334(b)-27(e)-334(scattered)-333(in)28(to)-334(lo)-28(cal)-333(pieces.)]TJ -11.251 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(or)-333(t)28(w)28(o)-334(arra)28(y)84(.)]TJ +/F41 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -21.839 Td [(desc)]TJ -ET -q -1 0 0 1 172.619 261.916 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 176.057 261.717 Td [(a)]TJ +/F44 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F73 10.3811 Tf 270.063 0 Td [(\024)]TJ/F42 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F75 10.3811 Tf 10.461 0 Td [(\050)]TJ/F42 9.9626 Tf 4.204 0 Td [(i)]TJ/F75 10.3811 Tf 3.088 0 Td [(\051)]TJ/F51 10.3811 Tf 8.665 0 Td [(<)]TJ/F42 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F44 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F42 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F51 10.3811 Tf 15.409 0 Td [(>)]TJ/F44 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ +0 g 0 G +/F41 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F49 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F44 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F42 9.9626 Tf 58.923 0 Td [(i)]TJ/F73 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F44 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F42 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F73 10.3811 Tf 13.449 0 Td [(g)]TJ/F44 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F42 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F75 10.3811 Tf 10.68 0 Td [(\050)]TJ/F42 9.9626 Tf 4.204 0 Td [(i)]TJ/F75 10.3811 Tf 3.089 0 Td [(\051)]TJ/F44 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F49 9.9626 Tf 61.203 0 Td [(vg)]TJ/F44 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F75 10.3811 Tf 226.209 0 Td [(\050)]TJ/F44 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F42 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F73 10.3811 Tf 13.888 0 Td [(\000)]TJ/F44 9.9626 Tf 10.515 0 Td [(1)]TJ/F75 10.3811 Tf 5.106 0 Td [(\051)]TJ/F44 9.9626 Tf 7.678 0 Td [(or)]TJ/F75 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F44 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F42 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F75 10.3811 Tf 11.566 0 Td [(\051)]TJ/F44 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F49 9.9626 Tf 113.068 0 Td [(flag)]TJ/F44 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F42 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F44 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F49 9.9626 Tf 144.092 0 Td [(mg)]TJ/F44 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F49 9.9626 Tf 29.937 0 Td [(vg)]TJ/F44 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F49 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F44 9.9626 Tf 57.534 0 Td [(.)]TJ +0 g 0 G +/F41 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ +0 g 0 G +/F44 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F49 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F44 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F42 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F44 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F49 9.9626 Tf 259.368 0 Td [(vl)]TJ/F44 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F49 9.9626 Tf 88.319 0 Td [(nl)]TJ/F44 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F49 9.9626 Tf 185.156 0 Td [(vl)]TJ/F44 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F49 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F44 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F49 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F44 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F75 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F44 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F42 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F75 10.3811 Tf 13.449 0 Td [(\051)]TJ/F44 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F49 9.9626 Tf 122.836 0 Td [(vl)]TJ/F44 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F49 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F44 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ +0 g 0 G +/F41 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ +0 g 0 G +/F44 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F49 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F44 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F49 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F44 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F49 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F44 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F49 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F44 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F49 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F44 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F49 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F44 9.9626 Tf 50.355 0 Td [(and)]TJ/F49 9.9626 Tf 20.148 0 Td [(local)]TJ/F44 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F49 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F44 9.9626 Tf 49.564 0 Td [(and)]TJ/F49 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F44 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 214.095 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 213.896 Td [(desc)]TJ -ET -q -1 0 0 1 387.532 214.095 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 390.67 213.896 Td [(type)]TJ + [-250(2.3.1)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ + [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.839 Td [(ro)-32(ot)]TJ +/F41 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ 0 g 0 G -/F8 9.9626 Tf 25.93 0 Td [(The)-420(pro)-27(ce)-1(ss)-419(that)-420(holds)-419(the)-420(global)-420(cop)28(y)83(.)-703(If)]TJ/F11 9.9626 Tf 194.21 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 22.228 0 Td [(=)]TJ/F14 9.9626 Tf 11.949 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-420(all)-419(the)-420(pro)-28(cesses)]TJ -237.16 -11.956 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-344(as)-1(:)-467(an)-344(in)28(tege)-1(r)-344(v)55(ariabl)1(e)]TJ/F14 9.9626 Tf 142.757 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.937 0 Td [(\024)]TJ/F11 9.9626 Tf 10.705 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.983 0 Td [(\024)]TJ/F11 9.9626 Tf 10.704 0 Td [(np)]TJ/F14 9.9626 Tf 13.282 0 Td [(\000)]TJ/F8 9.9626 Tf 10.038 0 Td [(1,)-347(default)]TJ/F30 9.9626 Tf 44.809 0 Td [(psb_root_)]TJ/F8 9.9626 Tf 47.073 0 Td [(,)]TJ -316.037 -11.955 Td [(i.e.)-444(pro)-28(cess)-334(0.)]TJ +/F44 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F49 9.9626 Tf 223.432 0 Td [(vl)]TJ/F44 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F42 9.9626 Tf 257.148 0 Td [(I)]TJ/F44 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F42 9.9626 Tf 135.186 0 Td [(N)]TJ/F42 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F75 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F42 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F44 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ 0 g 0 G - 141.968 -29.888 Td [(68)]TJ +/F41 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ +0 g 0 G +/F44 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ +0 g 0 G + -34.371 -19.579 Td [(2.)]TJ +0 g 0 G + [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(build)-250(state.)]TJ +0 g 0 G + 154.421 -29.888 Td [(72)]TJ 0 g 0 G ET endstream endobj -1372 0 obj +1364 0 obj << -/Length 4181 +/Length 2555 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(mold)]TJ -0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ 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[(2)-278(f)]TJ/F8 9.9626 Tf 14.39 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 8.302 0 Td [(is)-333(allo)-28(cated)-334(t)1(o)-334(pro)-28(cess)]TJ/F11 9.9626 Tf 99.267 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)]TJ -294.958 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +/F41 9.9626 Tf -24.907 -19.305 Td [(ia)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.201 Td [(\015ag)]TJ +/F44 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F42 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F44 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 22.644 0 Td [(Sp)-28(eci\014es)-333(whether)-333(e)-1(n)28(tries)-333(in)]TJ/F11 9.9626 Tf 121.932 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 13.617 0 Td [(are)-333(zero-)-334(or)-333(one-based.)]TJ -133.286 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 135.409 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(1,)-333(default)-334(0.)]TJ +/F41 9.9626 Tf -207.221 -19.304 Td [(ja)]TJ 0 g 0 G -/F27 9.9626 Tf -164.744 -19.2 Td [(mg)]TJ +/F44 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F42 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F44 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.257 0 Td [(the)-333(\050global\051)-334(n)28(um)28(b)-28(er)-333(of)-333(ro)27(ws)-333(of)-333(the)-334(probl)1(e)-1(m.)]TJ 4.65 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-332(as:)-444(an)-333(in)28(teger)-333(v)56(alue.)-444(I)-1(t)-332(is)-333(required)-332(if)]TJ/F30 9.9626 Tf 203.266 0 Td [(parts)]TJ/F8 9.9626 Tf 29.465 0 Td [(or)]TJ/F30 9.9626 Tf 12.198 0 Td [(repl)]TJ/F8 9.9626 Tf 24.235 0 Td [(is)-333(sp)-27(ec)-1(i)1(\014e)-1(d)1(,)]TJ -269.164 -11.955 Td [(it)-333(is)-334(optional)-333(if)]TJ/F30 9.9626 Tf 67.856 0 Td [(vg)]TJ/F8 9.9626 Tf 13.782 0 Td [(is)-333(sp)-28(eci\014ed.)]TJ +/F41 9.9626 Tf -207.221 -19.304 Td [(mask)]TJ 0 g 0 G -/F27 9.9626 Tf -106.545 -19.201 Td [(parts)]TJ +/F44 9.9626 Tf 29.33 0 Td [(Mask)-247(entries)-248(in)]TJ/F49 9.9626 Tf 69.91 0 Td [(ja)]TJ/F44 9.9626 Tf 10.461 0 Td [(,)-248(they)-247(ar)18(e)-248(inserted)-247(only)-248(when)-247(the)-247(corr)18(esponding)]TJ/F49 9.9626 Tf 213.089 0 Td [(mask)]TJ/F44 9.9626 Tf -297.883 -11.956 Td [(entries)-250(ar)18(e)]TJ/F49 9.9626 Tf 48.139 0 Td [(.true.)]TJ/F44 9.9626 Tf -48.139 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(array)-250(of)-250(length)]TJ/F42 9.9626 Tf 164.297 0 Td [(n)-25(z)]TJ/F44 9.9626 Tf 10.336 0 Td [(,)-250(default)]TJ/F49 9.9626 Tf 38.784 0 Td [(.true.)]TJ/F44 9.9626 Tf 31.382 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(the)-333(subroutine)-334(th)1(at)-334(de\014nes)-333(the)-333(partitioning)-334(sc)28(heme.)]TJ -5.702 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(subroutine.)]TJ +/F41 9.9626 Tf -269.706 -19.305 Td [(lidx)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.201 Td [(vl)]TJ +/F44 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F49 9.9626 Tf 131.117 0 Td [(ja)]TJ/F44 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F42 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F44 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 14.211 0 Td [(Data)-363(allo)-28(cation:)-504(the)-363(set)-364(of)-363(global)-363(indices)]TJ/F11 9.9626 Tf 182.789 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(\0501)-328(:)]TJ/F11 9.9626 Tf 18.15 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-363(b)-28(elonging)-363(to)-363(the)-364(callin)1(g)]TJ -207.747 -11.955 Td [(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.074 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +/F41 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ 0 g 0 G - 141.967 -29.888 Td [(70)]TJ 0 g 0 G -ET - -endstream -endobj -1381 0 obj -<< -/Length 6638 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F27 9.9626 Tf 99.895 706.129 Td [(nl)]TJ -0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(Data)-223(allo)-28(cation:)-389(in)-222(a)-223(generalized)-223(blo)-28(c)28(k-ro)28(w)-223(distribution)-223(the)-222(n)27(um)28(b)-28(er)-222(of)-223(indices)]TJ 10.378 -11.955 Td [(b)-28(elonging)-333(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Ma)28(y)-334(b)-27(e)-334(sp)-28(eci\014ed)-333(together)-333(with)]TJ/F30 9.9626 Tf 272.479 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -307.846 -20.135 Td [(repl)]TJ -0 g 0 G -/F8 9.9626 Tf 24.499 0 Td [(Data)-351(allo)-28(cation:)-480(build)-351(a)-351(replicated)-351(index)-351(space)-351(\050i.e.)-498(all)-351(pro)-28(cesses)-351(o)27(wn)-351(all)]TJ 0.408 -11.955 Td [(indices\051.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(th)1(e)-334(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(.true.)]TJ -0 g 0 G -/F27 9.9626 Tf -156.691 -20.135 Td [(globalc)32(hec)32(k)]TJ -0 g 0 G -/F8 9.9626 Tf 61.948 0 Td [(Data)-333(allo)-28(cation:)-445(d)1(o)-334(global)-333(c)28(hec)27(ks)-333(on)-333(the)-334(lo)-27(cal)-334(index)-333(lists)]TJ/F30 9.9626 Tf 250.201 0 Td [(vl)]TJ/F8 9.9626 Tf -287.242 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue,)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.false.)]TJ -0 g 0 G -/F27 9.9626 Tf -187.963 -20.135 Td [(lidx)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Data)-353(allo)-28(cation:)-484(the)-353(set)-353(of)-353(lo)-28(cal)-353(indices)]TJ/F11 9.9626 Tf 176.172 0 Td [(l)-20(idx)]TJ/F8 9.9626 Tf 17.48 0 Td [(\0501)-311(:)]TJ/F11 9.9626 Tf 17.814 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-353(to)-353(b)-28(e)-353(assigned)-353(to)-353(the)]TJ -219.466 -11.955 Td [(global)-333(indices)]TJ/F11 9.9626 Tf 62.045 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(.)]TJ -70.4 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -22.127 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -20.135 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 376.512 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 376.313 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 312.036 328.692 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 315.174 328.492 Td [(desc)]TJ -ET -q -1 0 0 1 336.723 328.692 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 339.861 328.492 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -20.135 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.177 -20.082 Td [(1.)]TJ -0 g 0 G - [-500(One)-241(of)-241(the)-240(optional)-241(argumen)28(ts)]TJ/F30 9.9626 Tf 144.914 0 Td [(parts)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(nl)]TJ/F8 9.9626 Tf 12.86 0 Td [(or)]TJ/F30 9.9626 Tf 11.283 0 Td [(repl)]TJ/F8 9.9626 Tf 23.32 0 Td [(m)28(ust)-241(b)-28(e)-241(sp)-27(e)-1(ci\014)1(e)-1(d)1(,)]TJ -242.773 -11.956 Td [(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(initialization)-333(strategy)-334(as)-333(follo)28(ws:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -20.135 Td [(parts)]TJ -0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(In)-337(this)-338(case)-338(w)28(e)-337(ha)28(v)27(e)-337(a)-338(subroutine)-337(sp)-28(ecifying)-337(the)-338(mapping)-337(b)-28(et)28(w)28(een)]TJ -8.691 -11.955 Td [(global)-225(indices)-225(and)-225(pro)-28(cess/lo)-27(c)-1(al)-225(i)1(ndex)-225(pairs.)-409(If)-225(this)-225(optional)-225(ar)1(gume)-1(n)28(t)]TJ 0 -11.955 Td [(is)-316(sp)-28(eci\014ed,)-320(then)-316(it)-317(is)-316(mandatory)-316(to)-317(sp)-28(ecify)-316(the)-316(argumen)28(t)]TJ/F30 9.9626 Tf 251.562 0 Td [(mg)]TJ/F8 9.9626 Tf 13.613 0 Td [(as)-316(w)27(ell.)]TJ -265.175 -11.955 Td [(The)-333(subroutine)-334(m)28(ust)-333(conform)-333(to)-334(the)-333(follo)28(wing)-334(in)28(terface:)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf 10.461 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ -0 g 0 G -/F8 9.9626 Tf 93.898 -29.888 Td [(71)]TJ -0 g 0 G -ET - -endstream -endobj -1387 0 obj -<< -/Length 10049 ->> -stream -0 g 0 G -0 g 0 G -BT -/F30 9.9626 Tf 234.142 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.461 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F8 9.9626 Tf -10.461 -17.586 Td [(The)-333(input)-334(argumen)28(ts)-333(are:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -15.594 Td [(glob)]TJ -ET -q -1 0 0 1 219.221 637.283 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 222.658 637.083 Td [(index)]TJ -0 g 0 G -/F8 9.9626 Tf 32.192 0 Td [(The)-333(global)-334(index)-333(to)-333(b)-28(e)-333(mapp)-28(ed;)]TJ -0 g 0 G -/F27 9.9626 Tf -57.321 -13.774 Td [(np)]TJ -0 g 0 G -/F8 9.9626 Tf 17.712 0 Td 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-11.956 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 47.073 0 Td [(.)]TJ + [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(assembled)-250(state.)]TJ -12.453 -19.925 Td [(This)-274(call)-275(will)-274(set)-275(up)-274(all)-275(the)-274(necessary)-275(information)-274(for)-275(the)-274(halo)-275(data)-274(exchanges.)]TJ 0 -11.955 Td [(In)-337(doing)-337(so,)-358(the)-337(library)-337(will)-337(need)-336(to)-337(identify)-337(the)-337(set)-337(of)-337(pr)18(ocesse)1(s)-337(owning)-337(the)]TJ 0 -11.955 Td [(halo)-381(indices)-381(thr)18(ough)-380(the)-381(use)-381(of)-381(the)]TJ/F49 9.9626 Tf 163.76 0 Td [(desc%fnd_owner\050\051)]TJ/F44 9.9626 Tf 87.479 0 Td [(method;)-446(the)-381(owning)]TJ -251.239 -11.956 Td [(pr)18(ocesses)-273(ar)18(e)-273(the)-273(topological)-272(neighbours)-273(of)-273(the)-273(calling)-273(pr)18(ocess.)-379(If)-272(the)-273(user)-273(has)]TJ 0 -11.955 Td [(some)-248(backgr)18(ound)-248(information)-248(on)-248(the)-248(pr)18(ocesses)-248(that)-248(ar)18(e)-248(neighbours)-248(of)-248(the)-248(cur)18(-)]TJ 0 -11.955 Td [(r)18(ent)-274(one,)-281(it)-274(is)-275(possible)-274(to)-274(specify)-275(explicitly)-274(the)-274(list)-275(of)-274(adjacent)-274(pr)18(ocesses)-275(with)-274(a)]TJ 0 -11.955 Td [(call)-327(to)]TJ/F49 9.9626 Tf 30.401 0 Td [(desc%set_p_adjcncy\050list\051)]TJ/F44 9.9626 Tf 125.529 0 Td [(;)-365(this)-327(will)-327(speed)-327(u)1(p)-327(the)-327(subsequent)-327(call)-327(to)]TJ/F49 9.9626 Tf -155.93 -11.955 Td [(psb_cdasb)]TJ/F44 9.9626 Tf 47.073 0 Td [(.)]TJ 0 g 0 G - 119.801 -103.154 Td [(76)]TJ + 119.801 -116.528 Td [(76)]TJ 0 g 0 G ET endstream endobj -1424 0 obj +1396 0 obj << -/Length 3287 +/Length 3168 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(6.4)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(6.4)-1000(psb)]TJ ET q -1 0 0 1 151.587 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 147.429 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 155.621 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +/F41 11.9552 Tf 151.016 706.129 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ +/F49 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 625.596 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 625.971 Td [(in)]TJ +/F41 9.9626 Tf 123.397 625.397 Td [(in)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -14.974 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 14.386 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -12.981 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 578.35 cm +1 0 0 1 309.258 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ +/F49 9.9626 Tf 312.397 577.576 Td [(desc)]TJ ET q -1 0 0 1 336.723 578.35 cm +1 0 0 1 333.945 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ +/F49 9.9626 Tf 337.084 577.576 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 536.507 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 535.932 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 536.307 Td [(out)]TJ +/F41 9.9626 Tf 123.397 535.733 Td [(out)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(cop)28(y)83(.)]TJ -21.975 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 19.925 0 Td [(the)-250(communication)-250(descriptor)-250(copy)111(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 488.686 cm +1 0 0 1 309.258 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 488.487 Td [(desc)]TJ +/F49 9.9626 Tf 312.397 487.912 Td [(desc)]TJ ET q -1 0 0 1 336.723 488.686 cm +1 0 0 1 333.945 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 488.487 Td [(type)]TJ +/F49 9.9626 Tf 337.084 487.912 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ +/F41 9.9626 Tf -258.11 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -330.303 Td [(77)]TJ + 141.968 -329.728 Td [(77)]TJ 0 g 0 G ET endstream endobj -1429 0 obj +1401 0 obj << -/Length 2253 +/Length 2167 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(6.5)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(6.5)-1000(psb)]TJ ET q -1 0 0 1 202.396 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 198.238 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 206.431 706.129 Td [(cdfree)-375(|)-375(F)94(rees)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +/F41 11.9552 Tf 201.825 706.129 Td [(cdfree)-250(\227)-250(Frees)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ +/F49 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.218 625.596 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ +/F41 9.9626 Tf 174.207 625.397 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(to)-334(b)-27(e)-334(freed.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)-250(to)-250(be)-250(fr)18(eed.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.344 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(inout)]TJ/F44 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 578.35 cm +1 0 0 1 360.068 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ +/F49 9.9626 Tf 363.206 577.576 Td [(desc)]TJ ET q -1 0 0 1 387.532 578.35 cm +1 0 0 1 384.755 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ +/F49 9.9626 Tf 387.893 577.576 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(info)]TJ + 0 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F44 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -398.049 Td [(78)]TJ + 141.968 -397.474 Td [(78)]TJ 0 g 0 G ET endstream endobj -1435 0 obj +1407 0 obj << -/Length 5932 +/Length 5710 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(6.6)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ ET q -1 0 0 1 151.587 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 147.429 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 155.621 706.129 Td [(cdbldext)-597(|)-597(Build)-597(an)-598(extended)-597(comm)31(unication)]TJ -25.091 -13.948 Td [(descriptor)]TJ +/F41 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -30.635 -19.114 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F8 9.9626 Tf 14.944 -23.476 Td [(This)-298(subroutine)-297(builds)-298(an)-297(extended)-298(comm)28(unication)-298(descriptor,)-305(based)-297(on)-298(the)]TJ -14.944 -11.955 Td [(input)-389(descriptor)]TJ/F30 9.9626 Tf 74.288 0 Td [(desc_a)]TJ/F8 9.9626 Tf 35.261 0 Td [(and)-389(on)-390(the)-389(stencil)-389(s)-1(p)-27(eci\014ed)-390(through)-389(the)-389(input)-390(sparse)]TJ -109.549 -11.956 Td [(matrix)]TJ/F30 9.9626 Tf 32.407 0 Td [(a)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +/F49 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F44 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F49 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F44 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F49 9.9626 Tf 62.107 0 Td [(a)]TJ/F44 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -37.637 -21.094 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf -67.337 -21.054 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.483 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -21.429 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -21.484 Td [(a)]TJ + 0 -21.43 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(A)-333(sparse)-334(matrix)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 101.176 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -109.893 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(t)27(yp)-27(e.)]TJ +/F44 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F41 9.9626 Tf 100.691 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.484 Td [(desc)]TJ +/F41 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ ET q -1 0 0 1 121.81 504.47 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 504.147 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 504.27 Td [(a)]TJ +/F41 9.9626 Tf 123.397 503.948 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 456.649 cm +1 0 0 1 309.258 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 456.45 Td [(Tspmat)]TJ +/F49 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ ET q -1 0 0 1 347.183 456.649 cm +1 0 0 1 344.406 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 456.45 Td [(type)]TJ +/F49 9.9626 Tf 347.544 456.127 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.348 -21.484 Td [(nl)]TJ +/F41 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(the)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(additional)-333(la)28(y)27(ers)-333(desired.)]TJ 10.378 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F11 9.9626 Tf 130.428 0 Td [(nl)]TJ/F14 9.9626 Tf 11.916 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(0.)]TJ +/F44 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(global)]TJ/F44 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F42 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F73 10.3811 Tf 11.873 0 Td [(\025)]TJ/F44 9.9626 Tf 10.961 0 Td [(0.)]TJ 0 g 0 G -/F27 9.9626 Tf -177.767 -21.483 Td [(ext)32(yp)-32(e)]TJ +/F41 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ 0 g 0 G -/F8 9.9626 Tf 38.398 0 Td [(the)-333(kind)-334(of)-333(estension)-333(required.)]TJ -13.491 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 44.396 0 Td [(.)]TJ -69.579 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-419(as:)-616(an)-420(in)28(teger)-419(v)55(alue)]TJ/F30 9.9626 Tf 135.566 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 7.159 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)-441(default:)]TJ/F30 9.9626 Tf -278.714 -11.955 Td [(psb_ovt_xhal_)]TJ +/F44 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(global)]TJ/F44 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(optional)]TJ/F44 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F49 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F44 9.9626 Tf 67.994 0 Td [(,)]TJ/F49 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F44 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F49 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -23.476 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -21.484 Td [(desc)]TJ + 0 -21.43 Td [(desc)]TJ ET q -1 0 0 1 121.81 261.126 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 261.018 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 260.927 Td [(out)]TJ +/F41 9.9626 Tf 123.397 260.819 Td [(out)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(extended)-334(comm)28(unication)-333(descriptor.)]TJ -21.975 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 213.305 cm +1 0 0 1 309.258 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 213.106 Td [(desc)]TJ +/F49 9.9626 Tf 312.397 212.998 Td [(desc)]TJ ET q -1 0 0 1 336.723 213.305 cm +1 0 0 1 333.945 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 213.106 Td [(type)]TJ +/F49 9.9626 Tf 337.084 212.998 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.484 Td [(info)]TJ +/F41 9.9626 Tf -258.11 -21.429 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -23.476 Td [(Notes)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F41 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 166.875 -29.888 Td [(79)]TJ +/F44 9.9626 Tf 166.875 -29.888 Td [(79)]TJ 0 g 0 G ET endstream endobj -1440 0 obj +1412 0 obj << -/Length 1587 +/Length 1484 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ +/F44 9.9626 Tf 163.158 706.129 Td [(1.)]TJ 0 g 0 G - [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.092 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 70.801 0 Td [(for)-282(the)]TJ/F30 9.9626 Tf 31.376 0 Td [(extype)]TJ/F8 9.9626 Tf 34.189 0 Td [(argumen)28(t)-282(the)-282(u)1(s)-1(er)-281(will)-282(obtain)-281(a)]TJ -183.728 -11.955 Td [(descriptor)-258(for)-257(a)-258(domain)-257(partition)-258(in)-257(whic)28(h)-258(the)-257(additional)-258(la)28(y)28(ers)-258(are)-257(fetc)27(hed)]TJ 0 -11.955 Td [(as)-415(part)-415(of)-415(an)-415(\050extended\051)-415(halo;)-456(ho)28(w)27(ev)28(er)-415(the)-415(index-to-pro)-28(cess)-415(mapping)-415(is)]TJ 0 -11.956 Td [(iden)28(tical)-334(to)-333(that)-333(of)-333(the)-334(base)-333(descriptor;)]TJ + [-500(Specifying)]TJ/F49 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F44 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F49 9.9626 Tf 32.282 0 Td [(extype)]TJ/F44 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ + -12.453 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.957 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 71.666 0 Td [(for)-368(the)]TJ/F30 9.9626 Tf 33.108 0 Td [(extype)]TJ/F8 9.9626 Tf 35.053 0 Td [(argumen)28(t)-369(the)-368(user)-369(will)-368(obtain)]TJ -188.054 -11.955 Td [(a)-458(descriptor)-459(with)-458(an)-458(o)28(v)27(erlapp)-27(ed)-459(decomp)-28(osition:)-694(the)-458(additional)-458(la)27(y)28(er)-458(is)]TJ 0 -11.955 Td [(aggregated)-413(to)-413(the)-414(l)1(o)-28(cal)-413(sub)-28(domain)-413(\050and)-413(th)27(u)1(s)-414(is)-413(an)-413(o)28(v)28(erlap\051,)-433(and)-413(a)-414(new)]TJ 0 -11.955 Td [(halo)-333(extending)-334(b)-27(ey)27(ond)-333(the)-333(last)-334(ad)1(ditional)-334(la)28(y)28(er)-333(is)-334(formed.)]TJ + [-500(Specifying)]TJ/F49 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F44 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F49 9.9626 Tf 32.282 0 Td [(extype)]TJ/F44 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ 0 g 0 G 141.968 -524.035 Td [(80)]TJ 0 g 0 G @@ -16530,1497 +16956,1495 @@ ET endstream endobj -1448 0 obj +1420 0 obj << -/Length 4897 +/Length 4660 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(6.7)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ ET q -1 0 0 1 151.587 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 147.429 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 155.621 706.129 Td [(spall)-375(|)-375(Allo)-31(cates)-375(a)-375(sparse)-375(matrix)]TJ +/F41 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz\051)]TJ +/F49 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 625.596 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ +/F41 9.9626 Tf 123.397 625.397 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 578.35 cm +1 0 0 1 309.258 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ +/F49 9.9626 Tf 312.397 577.576 Td [(desc)]TJ ET q -1 0 0 1 336.723 578.35 cm +1 0 0 1 333.945 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ +/F49 9.9626 Tf 337.084 577.576 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(nnz)]TJ +/F41 9.9626 Tf -258.11 -19.925 Td [(nnz)]TJ 0 g 0 G -/F8 9.9626 Tf 22.804 0 Td [(An)-309(estimate)-309(of)-308(the)-309(n)28(um)28(b)-28(er)-309(of)-309(nonzero)-27(es)-309(in)-309(the)-309(lo)-28(cal)-308(part)-309(of)-309(the)-308(as)-1(sem)28(bled)]TJ 2.103 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ +/F44 9.9626 Tf 22.137 0 Td [(An)-230(estimate)-230(of)-230(the)-230(number)-230(of)-231(nonzer)18(oes)-230(in)-230(the)-230(local)-230(part)-230(of)-230(the)-230(assembled)]TJ 2.77 -11.955 Td [(matrix.)]TJ 0 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(local)]TJ/F44 9.9626 Tf -28.343 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 408.985 cm +1 0 0 1 309.258 408.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 408.786 Td [(Tspmat)]TJ +/F49 9.9626 Tf 312.397 408.211 Td [(Tspmat)]TJ ET q -1 0 0 1 347.183 408.985 cm +1 0 0 1 344.406 408.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 408.786 Td [(type)]TJ +/F49 9.9626 Tf 347.544 408.211 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.348 -19.926 Td [(info)]TJ +/F41 9.9626 Tf -268.571 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F41 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +/F44 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-333(is)-334(in)-333(the)-333(build)-334(state.)]TJ + [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(sparse)-250(matrix)-250(is)-250(in)-250(the)-250(build)-250(state.)]TJ 0 g 0 G - 0 -19.926 Td [(2.)]TJ + 0 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(The)-333(descriptor)-334(ma)28(y)-333(b)-28(e)-333(in)-334(either)-333(the)-333(build)-333(or)-334(assem)28(bled)-333(state.)]TJ + [-500(The)-250(descriptor)-250(may)-250(be)-250(in)-250(either)-250(the)-250(build)-250(or)-250(assembled)-250(state.)]TJ 0 g 0 G 0 -19.925 Td [(3.)]TJ 0 g 0 G - [-500(Pro)28(viding)-307(a)-308(go)-27(o)-28(d)-307(es)-1(timate)-307(for)-307(the)-307(n)27(um)28(b)-28(er)-307(of)-307(nonzero)-28(es)]TJ/F11 9.9626 Tf 254.288 0 Td [(nnz)]TJ/F8 9.9626 Tf 20.092 0 Td [(in)-307(the)-308(assem-)]TJ -261.65 -11.955 Td [(bled)-401(m)-1(atr)1(ix)-402(ma)28(y)-402(substan)28(tially)-401(impro)27(v)28(e)-401(p)-28(erformance)-402(in)-401(the)-402(matrix)-401(build)]TJ 0 -11.955 Td [(phase,)-458(as)-433(it)-432(will)-433(reduce)-433(or)-433(eliminate)-433(the)-433(need)-432(for)-433(\050p)-28(oten)28(tially)-433(m)28(ultiple\051)]TJ 0 -11.956 Td [(data)-333(reallo)-28(cations.)]TJ + [-500(Pr)18(oviding)-219(a)-219(good)-219(est)1(imate)-219(for)-219(the)-219(number)-219(of)-219(nonzer)18(oes)]TJ/F42 9.9626 Tf 255.76 0 Td [(n)-25(n)-25(z)]TJ/F44 9.9626 Tf 18.305 0 Td [(in)-219(the)-219(assem-)]TJ -261.612 -11.956 Td [(bled)-294(matrix)-295(may)-294(substantially)-295(impr)18(ove)-294(performance)-295(in)-294(the)-295(matrix)-294(build)]TJ 0 -11.955 Td [(phase,)-370(as)-346(it)-346(will)-345(r)18(educe)-346(or)-346(eliminate)-346(the)-346(need)-346(for)-345(\050potentially)-346(multiple\051)]TJ 0 -11.955 Td [(data)-250(r)18(eallocations.)]TJ 0 g 0 G - 141.968 -133.042 Td [(81)]TJ + 141.968 -132.468 Td [(81)]TJ 0 g 0 G ET endstream endobj -1456 0 obj +1428 0 obj << -/Length 5716 +/Length 5395 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(6.8)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(6.8)-1000(psb)]TJ ET q -1 0 0 1 202.396 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 198.238 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 206.431 706.129 Td [(spins)-438(|)-437(Insert)-438(a)-437(set)-438(of)-437(co)-31(e\016cien)31(ts)-438(in)32(to)-438(a)-437(sparse)]TJ -25.091 -13.948 Td [(matrix)]TJ +/F41 11.9552 Tf 201.825 706.129 Td [(spins)-233(\227)-233(Insert)-233(a)-233(set)-234(of)-233(coef)18(\002cients)-233(into)-233(a)-233(sparse)-233(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -30.635 -19.07 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.955 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ +/F49 9.9626 Tf -51.12 -20.373 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.956 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -23.016 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -24.099 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.39 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -22.835 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -21.389 Td [(nz)]TJ + 0 -22.834 Td [(nz)]TJ 0 g 0 G -/F8 9.9626 Tf 16.438 0 Td [(the)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(co)-28(e\016cien)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.469 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(scalar.)]TJ +/F44 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 8.856 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.344 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.389 Td [(nr)]TJ +/F41 9.9626 Tf -24.906 -22.834 Td [(nr)]TJ 0 g 0 G -/F8 9.9626 Tf 16.065 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(ro)28(ws)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.842 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(scalar.)]TJ +/F44 9.9626 Tf 14.944 0 Td [(the)-250(number)-250(of)-250(r)18(ows)-250(to)-250(be)-250(inserted.)]TJ 9.962 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.344 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.389 Td [(irw)]TJ +/F41 9.9626 Tf -24.906 -22.834 Td [(irw)]TJ 0 g 0 G -/F8 9.9626 Tf 21.157 0 Td [(the)-333(\014rst)-334(ro)28(w)-333(to)-333(b)-28(e)-334(inserted.)]TJ 3.75 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.023 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(scalar.)]TJ +/F44 9.9626 Tf 20.473 0 Td [(the)-250(\002rst)-250(r)18(ow)-250(to)-250(be)-250(inserted.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.344 0 Td [(local)]TJ/F44 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-122.394 -11.956 Td [(pro)-28(cess,)-272(i.e.)]TJ/F11 9.9626 Tf 53.794 0 Td [(i)]TJ/F8 9.9626 Tf 4.123 0 Td [(+)]TJ/F11 9.9626 Tf 8.44 0 Td [(ir)-28(w)]TJ/F14 9.9626 Tf 16.295 0 Td [(\000)]TJ/F8 9.9626 Tf 8.44 0 Td [(1)-257(should)-257(b)-28(e)-256(one)-257(of)-257(the)-257(lo)-28(cal)-257(indices,)-272(but)-257(are)-257(otherwise)]TJ -91.092 -11.955 Td [(arbitrary;)]TJ +/F41 9.9626 Tf -268.57 -19.925 Td [(desc)]TJ +ET +q +1 0 0 1 171.218 543.902 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F41 9.9626 Tf 174.207 543.703 Td [(a)]TJ 0 g 0 G - -12.73 -19.925 Td [(7.)]TJ +/F44 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.344 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +0 0 1 rg 0 0 1 RG +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ +ET +q +1 0 0 1 360.068 496.082 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 363.206 495.882 Td [(desc)]TJ +ET +q +1 0 0 1 384.755 496.082 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F49 9.9626 Tf 387.893 495.882 Td [(type)]TJ 0 g 0 G - [-500(There)-386(is)-385(no)-386(requiremen)28(t)-386(that)-386(a)-385(giv)28(e)-1(n)-385(ro)28(w)-386(m)28(ust)-386(b)-28(e)-385(pass)-1(ed)-385(in)-386(its)-386(en)28(tiret)28(y)]TJ 12.73 -11.955 Td [(to)-355(a)-354(single)-355(call)-354(to)-355(this)-354(routine:)-487(the)-355(buildup)-354(of)-355(a)-354(ro)28(w)-355(ma)28(y)-355(b)-28(e)-354(split)-355(in)28(to)-355(as)]TJ 0 -11.955 Td [(man)28(y)-334(calls)-333(as)-333(desired)-334(\050ev)28(en)-333(in)-334(th)1(e)-334(CSR)-333(format\051;)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - -12.73 -19.926 Td [(8.)]TJ +/F41 9.9626 Tf -258.11 -19.925 Td [(clear)]TJ 0 g 0 G - [-500(Co)-28(e\016cien)28(ts)-409(from)-410(di\013eren)28(t)-409(ro)28(ws)-410(ma)28(y)-409(also)-409(b)-28(e)-409(m)-1(ix)1(e)-1(d)-409(up)-409(freely)-409(in)-409(a)-410(single)]TJ 12.73 -11.955 Td [(call,)-333(according)-334(to)-333(the)-333(application)-334(n)1(e)-1(eds;)]TJ +/F44 9.9626 Tf 26.56 0 Td [(Choose)-250(whether)-250(to)-250(zer)18(o)-250(out)-250(matrix)-250(coef)18(\002cients)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.344 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(optional)]TJ/F44 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)-310(tr)8(ue.)]TJ 0 g 0 G - -12.73 -19.925 Td [(9.)]TJ +/F41 9.9626 Tf -24.906 -21.917 Td [(On)-250(Return)]TJ 0 g 0 G - [-500(An)28(y)-416(co)-28(e\016cien)28(ts)-416(from)-416(matrix)-416(ro)28(ws)-416(not)-416(o)28(wned)-416(b)28(y)-416(the)-416(calling)-416(pro)-28(cess)-416(are)]TJ 12.73 -11.955 Td [(silen)28(tly)-334(ignor)1(e)-1(d)1(;)]TJ 0 g 0 G - -17.711 -19.926 Td [(10.)]TJ + 0 -19.926 Td [(info)]TJ 0 g 0 G - [-500(If)-358(the)-359(descriptor)-358(is)-359(in)-358(the)-359(assem)28(bled)-359(state,)-364(then)-359(an)28(y)-359(en)28(tries)-358(in)-359(the)-358(sparse)]TJ 17.711 -11.955 Td [(matrix)-430(that)-429(w)27(ould)-429(generate)-430(additional)-430(comm)28(unication)-430(requiremen)28(ts)-430(are)]TJ 0 -11.955 Td [(ignored;)]TJ +/F44 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F41 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ 0 g 0 G - -17.711 -19.925 Td [(11.)]TJ +/F44 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(If)-309(th)1(e)-309(matrix)-309(is)-308(in)-309(the)-308(up)-28(date)-309(state,)-313(an)28(y)-309(en)28(tries)-309(in)-308(p)-28(ositions)-309(that)-308(w)28(ere)-309(not)]TJ 17.711 -11.955 Td [(presen)28(t)-334(in)-333(the)-333(original)-333(matrix)-334(are)-333(ignored.)]TJ + [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(sparse)-250(matrix)-250(is)-250(in)-250(the)-250(update)-250(state.)]TJ 0 g 0 G - 141.968 -384.558 Td [(84)]TJ + 154.421 -206.192 Td [(88)]TJ 0 g 0 G ET endstream endobj -1484 0 obj +1486 0 obj << -/Length 6651 +/Length 4848 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(6.9)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(6.12)-1000(psb)]TJ ET q -1 0 0 1 151.587 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 153.407 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 155.621 706.129 Td [(spasb)-375(|)-375(Sparse)-375(matrix)-375(assem)31(bly)-375(routine)]TJ +/F41 11.9552 Tf 156.993 706.129 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -55.726 -18.389 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info,)-525(afmt,)-525(upd,)-525(dupl,)-525(mold\051)]TJ +/F49 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.202 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.639 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.638 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 627.46 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 625.596 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 627.261 Td [(a)]TJ +/F41 9.9626 Tf 123.397 625.397 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 579.639 cm +1 0 0 1 277.448 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 579.44 Td [(desc)]TJ +/F49 9.9626 Tf 280.586 577.576 Td [(desc)]TJ ET q -1 0 0 1 336.723 579.639 cm +1 0 0 1 302.135 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 579.44 Td [(type)]TJ +/F49 9.9626 Tf 305.273 577.576 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.639 Td [(afm)32(t)]TJ +/F41 9.9626 Tf -226.3 -31.88 Td [(n)]TJ 0 g 0 G -/F8 9.9626 Tf 27.737 0 Td [(the)-333(storage)-334(format)-333(for)-333(the)-334(sparse)-333(matrix.)]TJ -2.83 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(arra)28(y)-333(of)-334(c)28(haracters.)-444(Defalt:)-445('CSR'.)]TJ +/F44 9.9626 Tf 11.069 0 Td [(The)-250(number)-250(of)-250(columns)-250(of)-250(the)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-296(1.)-451(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F42 9.9626 Tf 295.577 0 Td [(x)]TJ/F44 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.741 -11.955 Td [(rank-1)-250(array)111(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.639 Td [(up)-32(d)]TJ +/F41 9.9626 Tf -24.907 -19.926 Td [(lb)]TJ 0 g 0 G -/F8 9.9626 Tf 24.395 0 Td [(Pro)28(vide)-333(for)-334(up)-27(dates)-334(to)-333(the)-333(matrix)-334(co)-28(e\016cien)28(ts.)]TJ 0.512 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(in)28(teger,)-333(p)-28(ossible)-333(v)55(alues:)]TJ/F30 9.9626 Tf 164.633 0 Td [(psb_upd_srch_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 6.089 0 Td [(psb_upd_perm_)]TJ +/F44 9.9626 Tf 14.386 0 Td [(The)-237(lower)-238(bound)-237(for)-238(the)-237(column)-238(index)-237(range)-238(of)-237(the)-237(dense)-238(matrix)-237(to)-238(be)-237(allo-)]TJ 10.521 -11.955 Td [(cated.)]TJ 0 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-296(1.)-451(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F42 9.9626 Tf 295.577 0 Td [(x)]TJ/F44 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.741 -11.956 Td [(rank-1)-250(array)111(.)]TJ 0 g 0 G -/F27 9.9626 Tf -263.623 -19.639 Td [(dupl)]TJ +/F41 9.9626 Tf -24.907 -21.917 Td [(On)-250(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td 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9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 366.869 cm +1 0 0 1 360.068 366.626 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 366.669 Td [(desc)]TJ +/F49 9.9626 Tf 363.206 366.426 Td [(desc)]TJ ET q -1 0 0 1 387.532 366.869 cm +1 0 0 1 384.755 366.626 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 366.669 Td [(type)]TJ +/F49 9.9626 Tf 387.893 366.426 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.43 Td [(dupl)]TJ +/F41 9.9626 Tf -258.11 -19.386 Td [(dupl)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.697 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.455 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.995 0 Td [(.)]TJ +/F44 9.9626 Tf 26.56 0 Td [(How)-250(to)-250(handle)-250(duplicate)-250(coef)18(\002cients.)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(optional)]TJ/F44 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-243(as:)-306(integer)74(,)-244(possible)-243(values:)]TJ/F49 9.9626 Tf 164.942 0 Td [(psb_dupl_ovwrt_)]TJ/F44 9.9626 Tf 78.455 0 Td [(,)]TJ/F49 9.9626 Tf 4.923 0 Td [(psb_dupl_add_)]TJ/F44 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -340.944 -19.43 Td [(lo)-32(cal)]TJ +/F41 9.9626 Tf -341.22 -19.387 Td [(local)]TJ 0 g 0 G -/F8 9.9626 Tf 28.054 0 Td [(Whether)-289(the)-289(en)28(tries)-289(in)-289(the)-289(index)-288(v)27(ector)]TJ/F30 9.9626 Tf 172.77 0 Td [(irw)]TJ/F8 9.9626 Tf 15.691 0 Td [(,)-298(are)-289(already)-289(in)-288(lo)-28(cal)-289(n)28(um)28(b)-28(er-)]TJ -191.608 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.055 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ +/F44 9.9626 Tf 26.56 0 Td [(Whether)-240(the)-240(entries)-241(in)-240(the)-240(index)-240(vector)]TJ/F49 9.9626 Tf 173.162 0 Td [(irw)]TJ/F44 9.9626 Tf 15.691 0 Td [(,)-242(ar)18(e)-240(alr)18(eady)-241(in)-240(local)-240(number)18(-)]TJ -190.507 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.344 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(optional)]TJ/F44 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F49 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F44 9.9626 Tf 36.613 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -224.574 -20.68 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -224.197 -20.57 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.43 Td [(x)]TJ + 0 -19.386 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(output)-334(d)1(e)-1(n)1(s)-1(e)-333(matrix.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-232(as:)-394(a)-233(rank)-233(one)-232(or)-233(t)28(w)28(o)-233(arra)28(y)-233(or)-232(an)-233(ob)-55(ject)-233(of)-233(t)28(yp)-27(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(the)-250(output)-250(dense)-250(matrix.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(inout)]TJ/F44 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(rank)-190(one)-190(or)-190(two)-190(array)-190(or)-190(an)-190(object)-190(of)-190(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 241.975 0 Td [(psb)]TJ +/F49 9.9626 Tf 242.569 0 Td [(psb)]TJ ET q -1 0 0 1 433.906 144.435 cm +1 0 0 1 434.498 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 437.044 144.236 Td [(T)]TJ +/F49 9.9626 Tf 437.636 144.236 Td [(T)]TJ ET q -1 0 0 1 442.902 144.435 cm +1 0 0 1 443.494 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 446.04 144.236 Td [(vect)]TJ +/F49 9.9626 Tf 446.633 144.236 Td [(vect)]TJ ET q -1 0 0 1 467.589 144.435 cm +1 0 0 1 468.182 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 470.727 144.236 Td [(type)]TJ +/F49 9.9626 Tf 471.32 144.236 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(,)]TJ -316.038 -11.955 Td [(of)-333(t)27(yp)-27(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(,)]TJ -316.63 -11.955 Td [(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G 141.968 -41.843 Td [(90)]TJ 0 g 0 G @@ -18028,26 +18452,26 @@ ET endstream endobj -1524 0 obj +1496 0 obj << -/Length 1111 +/Length 1054 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F41 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F41 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +/F44 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(Dense)-333(v)27(ectors/matrices)-333(do)-333(not)-334(ha)28(v)28(e)-334(an)-333(asso)-28(ciated)-333(state;)]TJ + [-500(Dense)-250(vectors/matrices)-250(do)-250(not)-250(have)-250(an)-250(associated)-250(state;)]TJ 0 g 0 G 0 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(Duplicate)-292(en)28(tries)-293(are)-292(either)-292(o)28(v)28(erwritten)-292(or)-293(added,)-300(there)-292(is)-292(no)-292(pro)27(vision)-292(for)]TJ 12.73 -11.955 Td [(raising)-333(an)-334(error)-333(condition.)]TJ + [-500(Duplicate)-326(entries)-326(ar)18(e)-325(either)-326(overwritten)-326(or)-326(added,)-345(ther)18(e)-325(is)-326(no)-326(pr)18(ovision)]TJ 12.453 -11.955 Td [(for)-250(raising)-250(an)-250(err)18(or)-250(condition.)]TJ 0 g 0 G 141.968 -494.147 Td [(91)]TJ 0 g 0 G @@ -18055,430 +18479,430 @@ ET endstream endobj -1534 0 obj +1506 0 obj << -/Length 5226 +/Length 5014 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(6.14)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(6.14)-1000(psb)]TJ ET q -1 0 0 1 209.121 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 204.216 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 213.156 706.129 Td [(geasb)-375(|)-375(Assem)31(bly)-375(a)-375(dense)-375(matrix)]TJ +/F41 11.9552 Tf 207.803 706.129 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ +/F49 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.218 625.596 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ +/F41 9.9626 Tf 174.207 625.397 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ +/F49 9.9626 Tf 136.328 0 Td [(psb)]TJ ET q -1 0 0 1 329.276 578.35 cm +1 0 0 1 328.257 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 332.415 578.15 Td [(desc)]TJ +/F49 9.9626 Tf 331.395 577.576 Td [(desc)]TJ ET q -1 0 0 1 353.964 578.35 cm +1 0 0 1 352.944 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 357.102 578.15 Td [(type)]TJ +/F49 9.9626 Tf 356.083 577.576 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -227.318 -31.88 Td [(mold)]TJ +/F41 9.9626 Tf -226.299 -31.88 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.899 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.261 0 Td [(psb)]TJ +/F44 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -3.876 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(optional)]TJ/F44 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-223(as:)-296(an)-223(object)-223(of)-222(a)-223(class)-223(derived)-223(fr)18(om)]TJ/F49 9.9626 Tf 199.087 0 Td [(psb)]TJ ET q -1 0 0 1 390.19 498.649 cm +1 0 0 1 391.016 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 393.329 498.449 Td [(T)]TJ +/F49 9.9626 Tf 394.155 497.875 Td [(T)]TJ ET q -1 0 0 1 399.186 498.649 cm +1 0 0 1 400.012 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 402.325 498.449 Td [(base)]TJ +/F49 9.9626 Tf 403.151 497.875 Td [(base)]TJ ET q -1 0 0 1 423.874 498.649 cm +1 0 0 1 424.7 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.012 498.449 Td [(vect)]TJ +/F49 9.9626 Tf 427.838 497.875 Td [(vect)]TJ ET q -1 0 0 1 448.561 498.649 cm +1 0 0 1 449.387 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 451.699 498.449 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td 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9.9626 Tf 374.864 486.494 Td [(type)]TJ +/F49 9.9626 Tf 376.466 485.92 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -245.08 -21.918 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -246.682 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(as)-1(sem)28(bled.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-434(or)-433(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(ject)-333(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.962 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(assembled.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(inout)]TJ/F44 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-259(as:)-328(a)-259(rank)-258(one)-259(or)-259(two)-259(array)-259(with)-259(the)-259(ALLOCA)74(T)74(ABLE)-258(or)-259(an)-259(ob-)]TJ 0 -11.955 Td [(ject)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ +/F49 9.9626 Tf 50.55 0 Td [(psb)]TJ ET q -1 0 0 1 255.857 385.075 cm +1 0 0 1 242.48 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 258.995 384.875 Td [(T)]TJ +/F49 9.9626 Tf 245.618 384.301 Td [(T)]TJ ET q -1 0 0 1 264.853 385.075 cm +1 0 0 1 251.476 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 267.992 384.875 Td [(vect)]TJ +/F49 9.9626 Tf 254.614 384.301 Td [(vect)]TJ ET q -1 0 0 1 289.541 385.075 cm +1 0 0 1 276.163 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 292.679 384.875 Td [(type)]TJ +/F49 9.9626 Tf 279.301 384.301 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -162.895 -31.88 Td [(info)]TJ +/F41 9.9626 Tf -149.518 -31.881 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F44 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -214.736 Td [(92)]TJ + 141.968 -214.162 Td [(92)]TJ 0 g 0 G ET endstream endobj -1540 0 obj +1512 0 obj << -/Length 3389 +/Length 3224 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(6.15)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(6.15)-1000(psb)]TJ ET q -1 0 0 1 158.311 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 153.407 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 162.346 706.129 Td [(gefree)-375(|)-375(F)94(rees)-375(a)-375(dense)-375(matrix)]TJ +/F41 11.9552 Tf 156.993 706.129 Td [(gefree)-250(\227)-250(Frees)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ +/F49 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(f)1(re)-1(ed.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-433(or)-434(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(j)1(e)-1(ct)-333(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(fr)18(eed.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-259(as:)-328(a)-258(rank)-259(one)-259(or)-259(two)-259(array)-259(with)-259(the)-259(ALLOCA)74(T)74(ABLE)-258(or)-259(an)-259(ob-)]TJ 0 -11.955 Td [(ject)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ +/F49 9.9626 Tf 50.55 0 Td [(psb)]TJ ET q -1 0 0 1 205.048 566.395 cm +1 0 0 1 191.67 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 208.186 566.195 Td [(T)]TJ +/F49 9.9626 Tf 194.809 565.621 Td [(T)]TJ ET q -1 0 0 1 214.044 566.395 cm +1 0 0 1 200.666 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 217.182 566.195 Td [(vect)]TJ +/F49 9.9626 Tf 203.805 565.621 Td [(vect)]TJ ET q -1 0 0 1 238.731 566.395 cm +1 0 0 1 225.354 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 241.869 566.195 Td [(type)]TJ +/F49 9.9626 Tf 228.492 565.621 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G -/F27 9.9626 Tf -162.896 -31.88 Td [(desc)]TJ +/F41 9.9626 Tf -149.518 -31.881 Td [(desc)]TJ ET q -1 0 0 1 121.81 534.514 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 533.94 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 534.315 Td [(a)]TJ +/F41 9.9626 Tf 123.397 533.74 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ +/F49 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q -1 0 0 1 278.467 486.693 cm +1 0 0 1 277.448 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 281.605 486.494 Td [(desc)]TJ +/F49 9.9626 Tf 280.586 485.92 Td [(desc)]TJ ET q -1 0 0 1 303.154 486.693 cm +1 0 0 1 302.135 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 306.292 486.494 Td [(type)]TJ +/F49 9.9626 Tf 305.273 485.92 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -227.319 -33.873 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -226.3 -33.873 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -294.437 Td [(93)]TJ + 141.968 -293.863 Td [(93)]TJ 0 g 0 G ET endstream endobj -1544 0 obj +1516 0 obj << -/Length 3466 +/Length 3218 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(6.16)-1125(psb)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(6.16)-1000(psb)]TJ ET q -1 0 0 1 209.121 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 204.216 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 213.156 706.129 Td [(gelp)-525(|)-526(Applies)-525(a)-526(left)-525(p)-31(erm)31(utation)-525(to)-526(a)-525(dense)]TJ -25.091 -13.948 Td [(matrix)]TJ +/F41 11.9552 Tf 207.803 706.129 Td [(gelp)-250(\227)-250(Applies)-250(a)-250(left)-250(permutation)-250(to)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -37.36 -18.389 Td [(call)-525(psb_gelp\050trans,)-525(iperm,)-525(x,)-525(info\051)]TJ +/F49 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_gelp\050trans,)-525(iperm,)-525(x,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(trans)]TJ + 0 -19.925 Td [(trans)]TJ 0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(A)-333(c)27(har)1(ac)-1(ter)-333(that)-333(sp)-28(eci\014es)-333(whether)-334(to)-333(p)-28(erm)28(ute)]TJ/F11 9.9626 Tf 204.179 0 Td [(A)]TJ/F8 9.9626 Tf 10.793 0 Td [(or)]TJ/F11 9.9626 Tf 12.204 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(.)]TJ -246.626 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(single)-333(c)28(haracter)-334(with)-333(v)56(alue)-334('N')-333(for)]TJ/F11 9.9626 Tf 217.435 0 Td [(A)]TJ/F8 9.9626 Tf 10.792 0 Td [(or)-333('T')-334(for)]TJ/F11 9.9626 Tf 43.504 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.615 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.615 Td [(.)]TJ +/F44 9.9626 Tf 27.666 0 Td [(A)-250(character)-250(that)-250(speci\002es)-250(whether)-250(to)-250(permute)]TJ/F42 9.9626 Tf 203.748 0 Td [(A)]TJ/F44 9.9626 Tf 9.808 0 Td [(or)]TJ/F42 9.9626 Tf 12.488 0 Td [(A)]TJ/F42 7.5716 Tf 7.511 3.616 Td [(T)]TJ/F44 9.9626 Tf 5.401 -3.616 Td [(.)]TJ -241.716 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(single)-250(character)-250(with)-250(value)-250('N')-250(for)]TJ/F42 9.9626 Tf 218.195 0 Td [(A)]TJ/F44 9.9626 Tf 9.808 0 Td [(or)-250('T')-250(for)]TJ/F42 9.9626 Tf 41.807 0 Td [(A)]TJ/F42 7.5716 Tf 7.511 3.616 Td [(T)]TJ/F44 9.9626 Tf 5.401 -3.616 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -310.386 -31.881 Td [(ip)-32(erm)]TJ +/F41 9.9626 Tf -307.628 -31.88 Td [(iperm)]TJ 0 g 0 G -/F8 9.9626 Tf 34.364 0 Td [(An)-333(in)28(tege)-1(r)-333(arra)28(y)-333(con)27(tain)1(ing)-334(p)-28(erm)28(utation)-333(information.)]TJ -9.457 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(one-dimensional)-334(arra)28(y)84(.)]TJ +/F44 9.9626 Tf 32.099 0 Td [(An)-250(integer)-250(array)-250(containing)-250(permutation)-250(information.)]TJ -7.193 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(one-dimensional)-250(array)111(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -31.881 Td [(x)]TJ +/F41 9.9626 Tf -24.906 -31.881 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(p)-28(erm)27(u)1(te)-1(d)1(.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(or)-333(t)27(w)28(o)-333(dimensional)-334(arra)28(y)84(.)]TJ +/F44 9.9626 Tf 9.962 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(permuted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(inout)]TJ/F44 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one)-250(or)-250(two)-250(dimensional)-250(array)111(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -33.873 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -24.906 -33.873 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(info)]TJ + 0 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ +/F44 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.967 -212.744 Td [(94)]TJ + 141.968 -226.117 Td [(94)]TJ 0 g 0 G ET endstream endobj -1549 0 obj +1521 0 obj << -/Length 6552 +/Length 6238 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(6.17)-1125(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(6.17)-1000(psb)]TJ ET q -1 0 0 1 158.311 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 153.407 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 162.346 706.129 Td [(glob)]TJ +/F41 11.9552 Tf 156.993 706.129 Td [(glob)]TJ ET q -1 0 0 1 187.811 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 182.29 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 191.846 706.129 Td [(to)]TJ +/F41 11.9552 Tf 185.877 706.129 Td [(to)]TJ ET q -1 0 0 1 204.608 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 197.222 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 208.643 706.129 Td [(lo)-31(c)-359(|)-359(Global)-358(to)-359(lo)-31(cal)-359(indices)-359(con)32(v)31(ertion)]TJ +/F41 11.9552 Tf 200.809 706.129 Td [(loc)-250(\227)-250(Global)-250(to)-250(local)-250(indices)-250(convertion)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -108.748 -18.389 Td [(call)-525(psb_glob_to_loc\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 -11.956 Td [(call)-525(psb_glob_to_loc\050x,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ +/F49 9.9626 Tf -100.914 -18.964 Td [(call)-525(psb_glob_to_loc\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 -11.955 Td [(call)-525(psb_glob_to_loc\050x,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.201 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.109 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.639 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.602 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.639 Td [(x)]TJ + 0 -19.601 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(An)-333(in)28(te)-1(ger)-333(v)28(ector)-333(of)-334(indices)-333(to)-333(b)-28(e)-334(con)28(v)28(erted.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.645 0 Td [(.)]TJ -76.131 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +/F44 9.9626 Tf 9.963 0 Td [(An)-250(integer)-250(vector)-250(of)-250(indices)-250(to)-250(be)-250(converted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F44 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -31.594 Td [(desc)]TJ +/F41 9.9626 Tf -24.907 -31.557 Td [(desc)]TJ ET q -1 0 0 1 121.81 536.09 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.408 535.72 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 535.891 Td [(a)]TJ +/F41 9.9626 Tf 123.397 535.52 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 28.343 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 488.27 cm +1 0 0 1 309.258 487.899 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 488.07 Td [(desc)]TJ +/F49 9.9626 Tf 312.397 487.7 Td [(desc)]TJ ET q -1 0 0 1 336.723 488.27 cm +1 0 0 1 333.945 487.899 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 488.07 Td [(type)]TJ +/F49 9.9626 Tf 337.084 487.7 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.638 Td [(iact)]TJ +/F41 9.9626 Tf -258.11 -19.602 Td [(iact)]TJ 0 g 0 G -/F8 9.9626 Tf 23.281 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.147 0 Td [(global)]TJ/F8 9.9626 Tf -255.521 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.231 0 Td [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ +/F44 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F41 9.9626 Tf 253.796 0 Td [(global)]TJ/F44 9.9626 Tf -249.91 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td 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Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 464.776 cm +1 0 0 1 360.068 464.201 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 464.576 Td [(desc)]TJ +/F49 9.9626 Tf 363.206 464.002 Td [(desc)]TJ ET q -1 0 0 1 387.532 464.776 cm +1 0 0 1 384.755 464.201 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 464.576 Td [(type)]TJ +/F49 9.9626 Tf 387.893 464.002 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(prec)]TJ +/F41 9.9626 Tf -258.11 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.879 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ +/F44 9.9626 Tf 24.348 0 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -30.874 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +/F49 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q -1 0 0 1 389.467 408.985 cm +1 0 0 1 388.441 408.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 392.606 408.786 Td [(prec)]TJ +/F49 9.9626 Tf 391.579 408.211 Td [(prec)]TJ ET q -1 0 0 1 414.155 408.985 cm +1 0 0 1 413.128 408.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 417.293 408.786 Td [(type)]TJ +/F49 9.9626 Tf 416.266 408.211 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.926 Td [(On)-383(Return)]TJ +/F41 9.9626 Tf -286.483 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ + 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(The)-332(memory)-331(o)-28(ccupation)-332(of)-331(the)-332(ob)-55(jec)-1(t)-331(sp)-28(eci\014ed)-332(in)-331(the)-332(calling)]TJ -53.48 -11.955 Td [(sequence,)-333(in)-334(b)28(ytes.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Returned)-333(as:)-445(an)]TJ/F30 9.9626 Tf 73.835 0 Td [(integer\050psb_long_int_k_\051)]TJ/F8 9.9626 Tf 128.849 0 Td [(n)28(um)28(b)-28(er.)]TJ +/F44 9.9626 Tf 72.776 0 Td [(The)-322(memory)-322(occupation)-322(of)-323(the)-322(object)-322(speci\002ed)-322(in)-322(the)-322(calling)]TJ -47.87 -11.956 Td [(sequence,)-250(in)-250(bytes.)]TJ 0 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(Returned)-250(as:)-310(an)]TJ/F49 9.9626 Tf 71.82 0 Td [(integer\050psb_long_int_k_\051)]TJ/F44 9.9626 Tf 128.019 0 Td [(number)74(.)]TJ 0 g 0 G - -63.207 -242.632 Td [(106)]TJ + -60.362 -242.057 Td [(106)]TJ 0 g 0 G ET endstream endobj -1624 0 obj +1596 0 obj << -/Length 5773 +/Length 5626 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(6.27)-1125(Sorting)-375(utilities)-375(|)]TJ 0 -19.593 Td [(psb)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(6.27)-1000(Sorting)-250(utilities)-250(\227)]TJ 0 -20.164 Td [(psb)]TJ ET q -1 0 0 1 120.951 686.736 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 120.53 686.164 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 124.986 686.536 Td [(msort)-375(|)-375(Sorting)-375(b)31(y)-375(the)-375(Merge-sort)-375(algorithm)]TJ -25.091 -12.601 Td [(psb)]TJ +/F41 11.9552 Tf 124.116 685.965 Td [(msort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Merge-sort)-250(algorithm)]TJ -24.221 -12.574 Td [(psb)]TJ ET q -1 0 0 1 120.951 674.134 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 120.53 673.59 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 124.986 673.935 Td [(qsort)-375(|)-375(Sorting)-375(b)31(y)-375(the)-375(Quic)31(ksort)-375(algorithm)]TJ -25.091 -12.602 Td [(psb)]TJ +/F41 11.9552 Tf 124.116 673.391 Td [(qsort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Quicksort)-250(algorithm)]TJ -24.221 -12.575 Td [(psb)]TJ ET q -1 0 0 1 120.951 661.532 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 120.53 661.016 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F16 11.9552 Tf 124.986 661.333 Td [(hsort)-375(|)-375(Sorting)-375(b)31(y)-375(the)-375(Heapsort)-375(algorithm)]TJ +/F41 11.9552 Tf 124.116 660.816 Td [(hsort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Heapsort)-250(algorithm)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -22.511 Td [(call)-525(psb_msort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_qsort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_hsort\050x,ix,dir,flag\051)]TJ/F8 9.9626 Tf 14.944 -21.865 Td [(These)-332(serial)-332(rou)1(tines)-332(sort)-332(a)-332(sequence)]TJ/F11 9.9626 Tf 162.708 0 Td [(X)]TJ/F8 9.9626 Tf 12.34 0 Td [(in)28(to)-332(ascending)-332(or)-331(descending)-332(order.)]TJ -189.992 -11.955 Td [(The)-320(argumen)28(t)-321(meaning)-320(is)-320(iden)28(tical)-320(for)-320(the)-321(thr)1(e)-1(e)-320(calls;)-324(the)-321(on)1(ly)-321(di\013erence)-320(is)-320(the)]TJ 0 -11.955 Td [(algorithm)-333(used)-334(to)-333(accomplish)-333(the)-334(task)-333(\050see)-334(Usage)-333(Notes)-333(b)-28(elo)28(w\051.)]TJ +/F49 9.9626 Tf -24.221 -22.402 Td [(call)-525(psb_msort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_qsort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_hsort\050x,ix,dir,flag\051)]TJ/F44 9.9626 Tf 14.944 -21.783 Td [(These)-236(serial)-235(r)18(outines)-236(sort)-236(a)-235(sequence)]TJ/F42 9.9626 Tf 162.066 0 Td [(X)]TJ/F44 9.9626 Tf 9.884 0 Td [(into)-236(ascending)-235(or)-236(descending)-236(or)18(der)74(.)]TJ -186.894 -11.955 Td [(The)-243(ar)18(gument)-243(meaning)-243(is)-242(identical)-243(for)-243(the)-243(thr)18(ee)-243(calls;)-245(the)-243(only)-243(dif)18(fer)18(ence)-242(is)-243(the)]TJ 0 -11.955 Td [(algorithm)-250(used)-250(to)-250(accomplish)-250(the)-250(task)-250(\050see)-250(Usage)-250(Notes)-250(below\051.)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.865 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.783 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -22.511 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -22.402 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -22.511 Td [(x)]TJ + 0 -22.402 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(sequence)-334(to)-333(b)-28(e)-333(sorted.)]TJ 13.879 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger,)-333(real)-334(or)-333(complex)-333(arra)27(y)-333(of)-333(rank)-333(1.)]TJ +/F44 9.9626 Tf 9.963 0 Td [(The)-250(sequence)-250(to)-250(be)-250(sorted.)]TJ 14.944 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(required)]TJ/F44 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(,)-250(r)18(eal)-250(or)-250(complex)-250(array)-250(of)-250(rank)-250(1.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -22.511 Td [(ix)]TJ +/F41 9.9626 Tf -24.907 -22.402 Td [(ix)]TJ 0 g 0 G -/F8 9.9626 Tf 14.211 0 Td [(A)-333(v)27(ector)-333(of)-333(indices.)]TJ 10.696 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(\050at)-333(le)-1(ast\051)-333(the)-333(same)-334(size)-333(as)]TJ/F11 9.9626 Tf 258.559 0 Td [(X)]TJ/F8 9.9626 Tf 9.035 0 Td [(.)]TJ +/F44 9.9626 Tf 13.281 0 Td [(A)-250(vector)-250(of)-250(indices.)]TJ 11.626 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(optional)]TJ/F44 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(\050at)-250(least\051)-250(the)-250(same)-250(size)-250(as)]TJ/F42 9.9626 Tf 254.189 0 Td [(X)]TJ/F44 9.9626 Tf 7.537 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -292.501 -22.511 Td [(dir)]TJ +/F41 9.9626 Tf -286.633 -22.402 Td [(dir)]TJ 0 g 0 G -/F8 9.9626 Tf 19.248 0 Td [(The)-333(desired)-334(ordering.)]TJ 5.659 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue:)]TJ +/F44 9.9626 Tf 18.262 0 Td [(The)-250(desir)18(ed)-250(or)18(dering.)]TJ 6.645 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 24 0 Td [(optional)]TJ/F44 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value:)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -22.511 Td [(In)32(teger)-383(and)-384(real)-383(data:)]TJ +/F41 9.9626 Tf 0 -22.402 Td [(Integer)-250(and)-250(real)-250(data:)]TJ 0 g 0 G -/F30 9.9626 Tf 114.397 0 Td [(psb_sort_up_)]TJ/F8 9.9626 Tf 62.764 0 Td [(,)]TJ/F30 9.9626 Tf 5.203 0 Td [(psb_sort_down_)]TJ/F8 9.9626 Tf 73.224 0 Td [(,)]TJ/F30 9.9626 Tf 5.203 0 Td [(psb_asort_up_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf -306.867 -11.955 Td [(psb_asort_down_)]TJ/F8 9.9626 Tf 78.455 0 Td [(;)-333(default)]TJ/F30 9.9626 Tf 39.574 0 Td [(psb_sort_up_)]TJ/F8 9.9626 Tf 62.764 0 Td [(.)]TJ +/F49 9.9626 Tf 101.28 0 Td [(psb_sort_up_)]TJ/F44 9.9626 Tf 62.764 0 Td [(,)]TJ/F49 9.9626 Tf 5.525 0 Td [(psb_sort_down_)]TJ/F44 9.9626 Tf 73.225 0 Td [(,)]TJ/F49 9.9626 Tf 5.525 0 Td [(psb_asort_up_)]TJ/F44 9.9626 Tf 67.995 0 Td [(,)]TJ/F49 9.9626 Tf -294.396 -11.955 Td [(psb_asort_down_)]TJ/F44 9.9626 Tf 78.455 0 Td [(;)-250(default)]TJ/F49 9.9626 Tf 38.784 0 Td [(psb_sort_up_)]TJ/F44 9.9626 Tf 62.764 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -202.711 -17.233 Td [(Complex)-383(data:)]TJ +/F41 9.9626 Tf -201.921 -17.178 Td [(Complex)-250(data:)]TJ 0 g 0 G -/F30 9.9626 Tf 78.338 0 Td [(psb_lsort_up_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 5.203 0 Td [(psb_lsort_down_)]TJ/F8 9.9626 Tf 78.455 0 Td [(,)]TJ/F30 9.9626 Tf 5.203 0 Td [(psb_asort_up_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 5.203 0 Td [(psb_asort_down_)]TJ/F8 9.9626 Tf 78.455 0 Td [(;)]TJ -364.927 -11.955 Td [(default)]TJ/F30 9.9626 Tf 33.485 0 Td [(psb_lsort_up_)]TJ/F8 9.9626 Tf 67.995 0 Td [(.)]TJ +/F49 9.9626 Tf 70.286 0 Td [(psb_lsort_up_)]TJ/F44 9.9626 Tf 67.995 0 Td [(,)]TJ/F49 9.9626 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-33.873 Td [(On)-383(Return)]TJ + [-525(psb_bar\050some)-525(args,)-525(info\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 0 -11.955 Td [(if)]TJ 0 g 0 G + [(\050info)-525(.ne.)-525(zero\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [-525(then)]TJ 0 g 0 G - 0 -19.926 Td [(dat)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG 0 g 0 G -/F8 9.9626 Tf 21.372 0 Td [(On)-333(destination)-333(pro)-28(cess\050es\051,)-334(the)-333(result)-333(of)-334(the)-333(minim)28(um)-334(op)-27(eration.)]TJ 3.535 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -71.51 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td 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[(7.15)-1125(psb)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [-525(continue)]TJ +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 15.691 -11.955 Td [(if)]TJ +0 g 0 G + [-525(\050err_act)-525(.eq.)-525(act_abort\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [-525(then)]TJ +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 15.691 -11.955 Td [(call)]TJ +0 g 0 G + [-525(psb_error\050icontxt\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 0 -11.956 Td [(return)]TJ +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + -15.691 -11.955 Td [(else)]TJ +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 0 -11.955 Td [(return)]TJ +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + -15.691 -11.955 Td [(end)-525(if)]TJ +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 0 -23.91 Td [(end)-525(subroutine)]TJ +0 g 0 G + [-525(psb_foo)]TJ +0.95 0.95 0.95 rg 0.95 0.95 0.95 RG +0 g 0 G +0 g 0 G +/F44 9.9626 Tf -2.989 -41.729 Td [(Listing)-289(5:)-387(The)-289(layout)-289(of)-289(a)-289(g)1(eneric)]TJ/F49 9.9626 Tf 149.96 0 Td [(psb)]TJ ET q -1 0 0 1 209.121 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 316.983 382.258 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 213.156 706.129 Td [(nrm2)-375(|)-375(Global)-375(2-norm)-375(reduction)]TJ +/F49 9.9626 Tf 320.121 382.059 Td [(foo)]TJ/F44 9.9626 Tf 18.569 0 Td [(r)18(outine)-289(with)-289(r)18(espe)1(ct)-289(to)-289(PSBLAS-2.0)]TJ -187.985 -11.955 Td [(err)18(or)-250(handling)-250(policy)111(.)]TJ 0 g 0 G +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG +/F49 9.9626 Tf 0 -19.609 Td [(==========================================================)]TJ 0 g 0 G -/F30 9.9626 Tf -62.451 -18.389 Td [(call)-525(psb_nrm2\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -19.794 Td [(This)-425(subroutine)-425(implem)-1(en)28(ts)-425(a)-425(2-norm)-426(v)56(alue)-425(reduction)-426(op)-27(eration)-426(based)-425(on)]TJ -14.944 -11.955 Td [(the)-333(underlying)-333(com)-1(m)28(unication)-333(library)83(.)]TJ + 0 -11.955 Td [(Process:)]TJ +0.25 0.63 0.44 rg 0.25 0.63 0.44 RG + [-525(0)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -18.226 Td [(T)32(yp)-32(e:)]TJ + [(.)-1050(PSBLAS)-525(Error)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [-525(\050)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0.25 0.63 0.44 rg 0.25 0.63 0.44 RG + [(4010)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.076 Td [(On)-383(En)32(try)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(\051)]TJ 0 g 0 G + [-525(in)-525(subroutine:)-525(df_sample)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(mat)]TJ +0.73 0.38 0.84 rg 0.73 0.38 0.84 RG + [-525(dist)]TJ 0 g 0 G - 0 -19.076 Td [(icon)32(txt)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + 0 -11.955 Td [(==========================================================)]TJ 0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ + 0 -11.955 Td [(Process:)]TJ +0.25 0.63 0.44 rg 0.25 0.63 0.44 RG + [-525(0)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.076 Td [(dat)]TJ + [(.)-1050(PSBLAS)-525(Error)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [-525(\050)]TJ 0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-333(c)-1(on)28(tribution)-333(to)-333(the)-334(gl)1(obal)-334(minim)28(um.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-421(as:)-619(a)-421(real)-421(v)55(ariable,)-443(whic)28(h)-421(ma)28(y)-421(b)-28(e)-421(a)-421(scalar,)-443(or)-420(a)-421(rank)-421(1)-421(arra)28(y)83(.)]TJ 0 -11.955 Td [(Kind,)-333(rank)-333(and)-334(size)-333(m)28(ust)-334(agree)-333(on)-333(all)-334(pro)-27(ces)-1(ses.)]TJ +0.25 0.63 0.44 rg 0.25 0.63 0.44 RG + [(4010)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.075 Td [(ro)-32(ot)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(\051)]TJ 0 g 0 G -/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-276(to)-276(hold)-276(the)-276(\014nal)-276(v)56(alue,)-287(or)]TJ/F14 9.9626 Tf 146.411 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-276(to)-276(mak)28(e)-276(it)-276(a)28(v)55(ailable)-276(on)-276(all)-276(pr)1(o)-28(cesses)-1(.)]TJ -155.183 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.427 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.749 0 Td [(<)]TJ/F8 9.9626 Tf 7.748 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)-334(-1.)]TJ + [-525(in)-525(subroutine:)-525(mat_distv)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)]TJ +0.73 0.38 0.84 rg 0.73 0.38 0.84 RG + [-525(psb_spasb)]TJ 0 g 0 G -/F27 9.9626 Tf -251.325 -31.749 Td [(On)-383(Return)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + 0 -11.956 Td [(==========================================================)]TJ 0 g 0 G + 0 -11.955 Td [(Process:)]TJ +0.25 0.63 0.44 rg 0.25 0.63 0.44 RG + [-525(0)]TJ 0 g 0 G - 0 -19.076 Td [(dat)]TJ + [(.)-1050(PSBLAS)-525(Error)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [-525(\050)]TJ 0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(On)-333(destination)-334(p)1(ro)-28(cess\050es)-1(\051)1(,)-334(the)-333(result)-333(of)-334(the)-333(2-norm)-333(reduction.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(real)-333(v)55(ariabl)1(e)-1(,)-333(whic)28(h)-333(ma)27(y)-333(b)-28(e)-333(a)-333(scalar,)-334(or)-333(a)-333(rank)-334(1)-333(arra)28(y)83(.)]TJ 0 -11.955 Td [(Kind,)-333(rank)-333(and)-334(size)-333(m)28(ust)-334(agree)-333(on)-333(all)-334(pro)-27(ces)-1(ses.)]TJ/F16 11.9552 Tf -24.907 -19.794 Td [(Notes)]TJ +0.25 0.63 0.44 rg 0.25 0.63 0.44 RG + [(4010)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -18.226 Td [(1.)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(\051)]TJ 0 g 0 G - [-500(This)-416(reduction)-416(is)-416(appropriate)-416(to)-416(compute)-416(the)-417(r)1(e)-1(sult)1(s)-417(of)-416(m)28(ultiple)-416(\050lo)-28(cal\051)]TJ 12.73 -11.955 Td [(NRM2)-333(op)-28(erations)-333(at)-334(the)-333(same)-333(time)-1(.)]TJ + [-525(in)-525(subroutine:)-525(psb_spasb)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)]TJ +0.73 0.38 0.84 rg 0.73 0.38 0.84 RG + [-525(psb_cest)]TJ 0 g 0 G - -12.73 -19.076 Td [(2.)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + 0 -11.955 Td [(==========================================================)]TJ 0 g 0 G - [-500(Denoting)-283(b)28(y)]TJ/F11 9.9626 Tf 68.601 0 Td [(dat)]TJ/F10 6.9738 Tf 14.049 -1.494 Td [(i)]TJ/F8 9.9626 Tf 6.139 1.494 Td [(the)-283(v)55(alue)-283(of)-283(the)-283(v)55(ariabl)1(e)]TJ/F11 9.9626 Tf 106.289 0 Td [(dat)]TJ/F8 9.9626 Tf 16.871 0 Td [(on)-283(pro)-28(cess)]TJ/F11 9.9626 Tf 47.569 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(,)-293(the)-283(output)]TJ/F11 9.9626 Tf 54.504 0 Td [(r)-28(es)]TJ/F8 9.9626 Tf -304.724 -11.955 Td [(is)-333(equiv)55(alen)28(t)-333(to)-334(the)-333(computation)-333(of)]TJ/F11 9.9626 Tf 122.07 -25.904 Td [(r)-28(es)]TJ/F8 9.9626 Tf 16.848 0 Td [(=)]TJ/F1 9.9626 Tf 10.516 14.335 Td [(s)]TJ -ET -q -1 0 0 1 335.008 203.069 cm -[]0 d 0 J 0.398 w 0 0 m 34.569 0 l S -Q -BT -/F1 9.9626 Tf 335.008 197.999 Td [(X)]TJ/F10 6.9738 Tf 5.786 -21.219 Td [(i)]TJ/F11 9.9626 Tf 10.265 11.755 Td [(dat)]TJ/F7 6.9738 Tf 14.05 3.431 Td [(2)]TJ/F10 6.9738 Tf 0 -6.208 Td [(i)]TJ/F11 9.9626 Tf 4.469 2.777 Td [(;)]TJ/F8 9.9626 Tf -193.967 -30.908 Td [(with)-333(care)-334(tak)28(en)-333(to)-334(a)28(v)28(oid)-333(unnecessary)-334(o)28(v)28(er\015o)28(w.)]TJ + 0 -11.955 Td [(Process:)]TJ +0.25 0.63 0.44 rg 0.25 0.63 0.44 RG + [-525(0)]TJ 0 g 0 G - -12.73 -19.075 Td [(3.)]TJ + 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[(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)-310(Possible)-250(values:)]TJ/F49 9.9626 Tf 179.116 0 Td [(psb_act_ret)]TJ/F44 9.9626 Tf 57.534 0 Td [(,)]TJ/F49 9.9626 Tf 4.982 0 Td [(psb_act_abort)]TJ/F44 9.9626 Tf 67.994 0 Td [(.)]TJ +0 g 0 G + -170.149 -471.198 Td [(132)]TJ +0 g 0 G ET -q -1 0 0 1 215.536 504.923 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q + +endstream +endobj +1750 0 obj +<< +/Length 505 +>> +stream +0 g 0 G +0 g 0 G BT -/F46 8.9664 Tf 219.774 504.723 Td [(a)-164(c)-165(t)-946(.)]TJ/F53 8.9664 Tf 27.965 0 Td [(e)-22(q)]TJ/F46 8.9664 Tf 12.346 0 Td [(.)-923(a)-141(c)-141(t)]TJ +/F41 14.3462 Tf 99.895 705.784 Td [(9)-1000(Utilities)]TJ/F44 9.9626 Tf 0 -22.702 Td [(W)92(e)-323(have)-322(some)-323(utilities)-322(available)-323(for)-322(input)-323(and)-323(output)-322(of)-323(sparse)-322(matrices;)-359(the)]TJ 0 -11.955 Td [(interfaces)-250(to)-250(these)-250(r)18(outines)-250(ar)18(e)-250(available)-250(in)-250(the)-250(module)]TJ/F49 9.9626 Tf 242.01 0 Td [(psb_util_mod)]TJ/F44 9.9626 Tf 62.764 0 Td [(.)]TJ +0 g 0 G + -140.39 -580.689 Td [(133)]TJ +0 g 0 G ET -q -1 0 0 1 287.553 504.923 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q + +endstream +endobj +1756 0 obj +<< +/Length 4559 +>> +stream +0 g 0 G +0 g 0 G BT -/F46 8.9664 Tf 291.582 504.723 Td [(a)-141(b)-141(o)-141(r)-141(t)-249(\051)]TJ/F53 8.9664 Tf 39.166 0 Td [(t)-30(h)-29(e)-30(n)]TJ -142.758 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.681 0 Td [(p)-146(s)-145(b)]TJ +/F41 11.9552 Tf 150.705 706.129 Td [(9.1)-1206(hb)]TJ ET q -1 0 0 1 234.014 493.964 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S +1 0 0 1 195.398 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F46 8.9664 Tf 238.084 493.764 Td [(e)-146(r)-145(r)-146(o)-145(r)-254(\050)-252(i)-144(c)-143(o)-144(n)-143(t)-143(x)-144(t)-252(\051)]TJ/F53 8.9664 Tf -50.844 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -10.529 -10.958 Td [(e)-117(l)-117(s)-117(e)]TJ 10.529 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ 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0 G +/F44 9.9626 Tf 27.108 0 Td [(The)-250(Fortran)-250(\002le)-250(unit)-250(number)74(.)]TJ -2.201 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 23.999 0 Td [(optional)]TJ/F44 9.9626 Tf 38.187 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(Only)-250(meaningful)-250(if)-250(\002lename)-250(is)-250(not)]TJ/F49 9.9626 Tf 287.757 0 Td [(-)]TJ/F44 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F41 9.9626 Tf -317.894 -21.918 Td [(On)-250(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(a)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)-250(r)18(ead)-250(fr)18(om)-250(\002le.)]TJ 14.944 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 23.999 0 Td [(required)]TJ/F44 9.9626 Tf 39.293 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +0 0 1 rg 0 0 1 RG +/F49 9.9626 Tf 168.137 0 Td [(psb)]TJ ET q -1 0 0 1 150.705 701.884 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S -Q -q -1 0 0 1 150.904 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S -Q -q -1 0 0 1 497.088 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S -Q -q -1 0 0 1 150.705 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +1 0 0 1 360.068 452.246 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 150.705 382.537 Td [(Figure)-329(9:)-443(The)-329(la)27(y)28(out)-329(of)-330(a)-329(generic)]TJ/F30 9.9626 Tf 147.445 0 Td [(psb)]TJ +/F49 9.9626 Tf 363.206 452.047 Td [(Tspmat)]TJ ET q -1 0 0 1 314.468 382.736 cm +1 0 0 1 395.216 452.246 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 317.606 382.537 Td [(foo)]TJ/F8 9.9626 Tf 18.974 0 Td [(routine)-329(with)-330(resp)-28(ect)-329(to)-329(PSBLAS-2.0)]TJ -185.875 -11.955 Td [(error)-333(handling)-333(p)-28(olicy)83(.)]TJ +/F49 9.9626 Tf 398.354 452.047 Td [(type)]TJ 0 g 0 G +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G +/F41 9.9626 Tf -268.57 -19.926 Td [(b)]TJ 0 g 0 G +/F44 9.9626 Tf 11.068 0 Td [(Rigth)-250(hand)-250(side\050s\051.)]TJ 13.838 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[(speci\002ed)-250(by)-250(the)-250(Harwell-Boeing)-250(format)-250(and)-250(contained)-250(in)-250(the)-250(input)-250(\002le.)]TJ +0 g 0 G +/F41 9.9626 Tf -24.906 -19.925 Td [(iret)]TJ +0 g 0 G +/F44 9.9626 Tf 20.473 0 Td [(Err)18(or)-250(code.)]TJ 4.433 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +0 g 0 G + 139.477 -194.236 Td [(134)]TJ 0 g 0 G -/F30 9.9626 Tf 8.368 -39.475 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(df_sample)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(mat)-525(dist)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td 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[(On)-383(En)32(try)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -0 g 0 G - 0 -19.925 Td [(icon)32(txt)]TJ -0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(pt)32(yp)-32(e)]TJ -0 g 0 G -/F8 9.9626 Tf 33.465 0 Td [(the)-333(t)27(yp)-27(e)-334(of)-333(preconditioner.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 153.093 0 Td [(global)]TJ/F8 9.9626 Tf -161.651 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-333(s)-1(t)1(ring,)-334(see)-333(usage)-334(notes.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(On)-383(Exit)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.88 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +/F44 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F41 9.9626 Tf 117.836 0 Td [(local)]TJ/F44 9.9626 Tf -117.278 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +/F49 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q -1 0 0 1 338.658 446.843 cm +1 0 0 1 337.631 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 341.796 446.644 Td [(prec)]TJ +/F49 9.9626 Tf 340.77 577.576 Td [(prec)]TJ ET q -1 0 0 1 363.345 446.843 cm +1 0 0 1 362.319 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 366.483 446.644 Td [(type)]TJ +/F49 9.9626 Tf 365.457 577.576 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.51 -19.926 Td [(info)]TJ +/F41 9.9626 Tf -286.483 -19.925 Td [(iout)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.059 0 Td [(Legal)-316(inputs)-315(to)-316(this)-316(subroutine)-315(are)-316(in)28(terpreted)-316(dep)-28(ending)-315(on)-316(the)]TJ/F11 9.9626 Tf 283.149 0 Td [(pty)-36(pe)]TJ/F8 9.9626 Tf -320.208 -11.955 Td [(string)-333(as)-334(follo)28(ws)]TJ -0 0 1 rg 0 0 1 RG -/F7 6.9738 Tf 69.933 3.615 Td [(4)]TJ +/F44 9.9626 Tf 23.243 0 Td [(output)-250(unit.)-310(Scope:)]TJ/F41 9.9626 Tf 87.391 0 Td [(local)]TJ/F44 9.9626 Tf -85.727 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(number)74(.)-310(Default:)-310(default)-250(output)-250(unit.)]TJ +0 g 0 G +/F41 9.9626 Tf -24.907 -19.925 Td [(root)]TJ +0 g 0 G +/F44 9.9626 Tf 23.253 0 Td [(Pr)18(ocess)-250(fr)18(om)-250(which)-250(to)-250(print)-250(Scope:)]TJ/F41 9.9626 Tf 155.834 0 Td [(local)]TJ/F44 9.9626 Tf -154.18 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(optional)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-387(as:)-585(an)-387(integer)-387(number)-388(between)-387(0)-387(and)]TJ/F42 9.9626 Tf 220.442 0 Td [(n)-80(p)]TJ/F73 10.3811 Tf 14.01 0 Td [(\000)]TJ/F44 9.9626 Tf 10.638 0 Td [(1,)-422(in)-387(which)-387(case)]TJ -245.09 -11.955 Td [(the)-314(speci\002e)1(d)-314(pr)18(ocess)-314(will)-313(print)-314(the)-313(description,)-330(or)]TJ/F73 10.3811 Tf 225.38 0 Td [(\000)]TJ/F44 9.9626 Tf 8.194 0 Td [(1,)-329(in)-314(which)-314(case)-313(all)]TJ -233.574 -11.955 Td [(pr)18(ocesses)-250(will)-250(print.)-310(Default:)-310(0.)]TJ 0 g 0 G -/F8 9.9626 Tf 4.469 -3.615 Td [(:)]TJ + 139.477 -351.646 Td [(145)]TJ +0 g 0 G +ET + +endstream +endobj +1836 0 obj +<< +/Length 973 +>> +stream 0 g 0 G -/F27 9.9626 Tf -74.402 -19.925 Td [(NONE)]TJ 0 g 0 G -/F8 9.9626 Tf 39.048 0 Td [(No)-333(preconditioning,)-333(i.e.)-445(the)-333(preconditioner)-333(is)-334(just)-333(a)-333(cop)27(y)-333(op)-28(erator.)]TJ +BT +/F41 11.9552 Tf 150.705 706.129 Td [(10.5)-1000(clone)-250(\227)-250(clone)-250(current)-250(preconditioner)]TJ 0 g 0 G -/F27 9.9626 Tf -39.048 -19.926 Td [(DIA)32(G)]TJ 0 g 0 G -/F8 9.9626 Tf 35.464 0 Td [(Diagonal)-441(scaling;)-496(eac)28(h)-442(en)28(try)-441(of)-442(th)1(e)-442(input)-441(v)28(ec)-1(tor)-441(is)-441(m)27(ultip)1(lied)-442(b)28(y)-441(the)]TJ -10.557 -11.955 Td [(recipro)-28(cal)-346(of)-346(the)-346(sum)-346(of)-345(the)-346(absolute)-346(v)55(alues)-346(of)-346(the)-346(co)-27(e\016cien)27(ts)-346(in)-346(th)1(e)-346(c)-1(or)1(-)]TJ 0 -11.955 Td [(resp)-28(onding)-333(ro)28(w)-334(of)-333(matrix)]TJ/F11 9.9626 Tf 113.602 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(;)]TJ +/F49 9.9626 Tf 0 -18.964 Td [(call)-1050(prec%clone\050precout,info\051)]TJ 0 g 0 G -/F27 9.9626 Tf -145.981 -19.925 Td [(BJA)32(C)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 35.672 0 Td [(Precondition)-249(b)28(y)-249(a)-249(factorization)-248(of)-249(the)-249(blo)-28(c)28(k-diagonal)-249(of)-249(matrix)]TJ/F11 9.9626 Tf 269.665 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)-266(where)]TJ -287.902 -11.956 Td [(blo)-28(c)28(k)-457(b)-28(oundaries)-457(are)-457(determined)-457(b)28(y)-457(the)-457(data)-457(allo)-28(cation)-457(b)-28(oundaries)-457(for)]TJ 0 -11.955 Td [(eac)28(h)-347(pro)-28(cess;)-353(requires)-346(no)-347(comm)28(unication.)-484(Only)-347(the)-346(incomplete)-347(factoriza-)]TJ 0 -11.955 Td [(tion)]TJ/F11 9.9626 Tf 20.479 0 Td [(I)-78(LU)]TJ/F8 9.9626 Tf 19.83 0 Td [(\0500\051)-333(is)-334(curren)28(tly)-333(implemen)28(ted.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +0 g 0 G +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F44 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ +0 g 0 G +/F41 9.9626 Tf -77.917 -33.873 Td [(On)-250(Return)]TJ 0 g 0 G -ET -q -1 0 0 1 99.895 129.78 cm -[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S -Q -BT -/F32 5.9776 Tf 110.987 123.138 Td [(4)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(The)-354(string)-354(is)-355(case-insensitiv)30(e)]TJ 0 g 0 G + 0 -19.926 Td [(precout)]TJ 0 g 0 G -/F8 9.9626 Tf 149.141 -29.888 Td [(141)]TJ +/F44 9.9626 Tf 39.292 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ +0 g 0 G +/F41 9.9626 Tf -39.292 -19.925 Td [(info)]TJ +0 g 0 G +/F44 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ +0 g 0 G + 140.583 -449.28 Td [(146)]TJ 0 g 0 G ET endstream endobj -1867 0 obj +1842 0 obj << -/Length 7738 +/Length 2703 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(10.2)-1125(build)-375(|)-375(Builds)-375(a)-375(preconditioner)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(10.6)-1000(free)-250(\227)-250(Free)-250(a)-250(preconditioner)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 0 -19.764 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ +/F49 9.9626 Tf 0 -18.964 Td [(call)-525(prec%free\050info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -24.132 Td [(T)32(yp)-32(e:)]TJ +/F41 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F44 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -22.879 Td [(On)-383(En)32(try)]TJ +/F41 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -22.879 Td [(a)]TJ + 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(system)-334(sparse)-333(matrix.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 148.886 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -134.53 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(sparse)-333(matrix)-334(d)1(ata)-334(structure)]TJ +/F44 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 194.05 0 Td [(psb)]TJ +/F49 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q -1 0 0 1 385.981 580.809 cm +1 0 0 1 337.631 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.119 580.61 Td [(Tspmat)]TJ +/F49 9.9626 Tf 340.77 577.576 Td [(prec)]TJ ET q -1 0 0 1 421.128 580.809 cm +1 0 0 1 362.319 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 424.267 580.61 Td [(type)]TJ +/F49 9.9626 Tf 365.457 577.576 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -294.483 -22.879 Td [(prec)]TJ -0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 273.115 0 Td [(psb)]TJ -ET -q -1 0 0 1 465.045 510.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 468.184 509.91 Td [(prec)]TJ -ET -q -1 0 0 1 489.733 510.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 492.871 509.91 Td [(type)]TJ +/F41 9.9626 Tf -286.483 -19.925 Td [(On)-250(Exit)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -342.166 -34.833 Td [(desc)]TJ -ET -q -1 0 0 1 172.619 475.276 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 176.057 475.077 Td [(a)]TJ + 0 -19.926 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(,)-333(target.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(des)-1(crip)1(tor)-334(data)-333(structure)]TJ +/F44 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -30.874 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 247.683 0 Td [(psb)]TJ +/F49 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q -1 0 0 1 439.613 439.41 cm +1 0 0 1 337.631 502.059 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 442.751 439.211 Td [(desc)]TJ +/F49 9.9626 Tf 340.77 501.86 Td [(prec)]TJ ET q -1 0 0 1 464.3 439.41 cm +1 0 0 1 362.319 502.059 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 467.438 439.211 Td [(type)]TJ +/F49 9.9626 Tf 365.457 501.86 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -337.655 -22.879 Td [(amold)]TJ +/F41 9.9626 Tf -286.483 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 35.374 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -10.467 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.348 0 Td [(psb)]TJ -ET -q -1 0 0 1 395.279 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 398.417 368.512 Td [(T)]TJ -ET -q -1 0 0 1 404.275 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 407.413 368.512 Td [(base)]TJ -ET -q -1 0 0 1 428.962 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 432.101 368.512 Td [(sparse)]TJ -ET -q -1 0 0 1 464.11 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 467.248 368.512 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ +/F44 9.9626 Tf 23.801 0 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -30.326 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(out)]TJ/F44 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Err)18(or)-250(code:)-310(if)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)]TJ/F41 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F44 9.9626 Tf 34.363 0 Td [(Releases)-250(all)-250(internal)-250(storage.)]TJ 0 g 0 G -/F27 9.9626 Tf -332.234 -22.879 Td [(vmold)]TJ + 130.021 -333.713 Td [(147)]TJ 0 g 0 G -/F8 9.9626 Tf 35.851 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -10.945 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ ET -q -1 0 0 1 395.279 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q + +endstream +endobj +1846 0 obj +<< +/Length 548 +>> +stream +0 g 0 G +0 g 0 G BT -/F30 9.9626 Tf 398.417 297.812 Td [(T)]TJ +/F41 14.3462 Tf 150.705 705.784 Td [(11)-1000(Iterative)-250(Methods)]TJ/F44 9.9626 Tf 0 -22.702 Td [(In)-402(this)-403(chapter)-402(we)-403(pr)18(ovide)-402(r)18(outines)-403(for)-402(pr)18(econditioners)-402(and)-403(iterative)-402(meth-)]TJ 0 -11.955 Td [(ods.)-472(The)-304(interfaces)-304(for)-304(Krylov)-304(subspace)-303(methods)-304(ar)18(e)-304(available)-304(in)-304(the)-304(module)]TJ/F49 9.9626 Tf 0 -11.955 Td [(psb_krylov_mod)]TJ/F44 9.9626 Tf 73.225 0 Td [(.)]TJ +0 g 0 G + 91.158 -568.734 Td [(148)]TJ +0 g 0 G ET -q -1 0 0 1 404.275 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q + +endstream +endobj +1853 0 obj +<< +/Length 8246 +>> +stream +0 g 0 G +0 g 0 G BT -/F30 9.9626 Tf 407.413 297.812 Td [(base)]TJ +/F41 11.9552 Tf 99.895 706.129 Td [(11.1)-1000(psb)]TJ ET q -1 0 0 1 428.962 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 153.407 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F30 9.9626 Tf 432.101 297.812 Td [(vect)]TJ +/F41 11.9552 Tf 156.993 706.129 Td [(krylov)-250(\227)-250(Krylov)-250(Methods)-250(Driver)-250(Routine)]TJ/F44 9.9626 Tf -57.098 -18.964 Td [(This)-266(subr)18(outine)-266(is)-267(a)-266(driver)-266(that)-267(p)1(r)18(ovides)-267(a)-266(general)-266(interface)-266(for)-267(all)-266(the)-266(Krylov-)]TJ 0 -11.955 Td [(Subspace)-250(family)-250(methods)-250(implemented)-250(in)-250(PSBLAS)-250(version)-250(2.)]TJ 14.944 -11.955 Td [(The)-250(stopping)-250(criterion)-250(can)-250(take)-250(the)-250(following)-250(values:)]TJ +0 g 0 G +/F41 9.9626 Tf -14.944 -18.774 Td [(1)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(normwise)-222(backwar)18(d)-221(err)18(or)-222(in)-221(the)-222(in\002nity)-222(norm;)-231(the)-221(iteration)-222(is)-222(stopped)-221(when)]TJ/F42 9.9626 Tf 109.036 -26.864 Td [(e)-15(r)-25(r)]TJ/F75 10.3811 Tf 15.14 0 Td [(=)]TJ/F73 10.3811 Tf 40.62 6.745 Td [(k)]TJ/F42 9.9626 Tf 5.34 0 Td [(r)]TJ/F42 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F73 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 453.65 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 246.191 620.108 cm +[]0 d 0 J 0.398 w 0 0 m 74.372 0 l S Q BT -/F30 9.9626 Tf 456.788 297.812 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F75 10.3811 Tf 246.316 610.783 Td [(\050)]TJ/F73 10.3811 Tf 4.274 0 Td [(k)]TJ/F42 9.9626 Tf 5.938 0 Td [(A)]TJ/F73 10.3811 Tf 7.442 0 Td [(k)-24(k)]TJ/F42 9.9626 Tf 11.048 0 Td [(x)]TJ/F42 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F73 10.3811 Tf 2.876 1.96 Td [(k)]TJ/F75 10.3811 Tf 7.376 0 Td [(+)]TJ/F73 10.3811 Tf 10.256 0 Td [(k)]TJ/F42 9.9626 Tf 5.44 0 Td [(b)]TJ/F73 10.3811 Tf 4.861 0 Td [(k)]TJ/F75 10.3811 Tf 5.44 0 Td [(\051)]TJ/F51 10.3811 Tf 8.236 6.834 Td [(<)]TJ/F42 9.9626 Tf 11.087 0 Td [(e)-80(p)-25(s)]TJ 0 g 0 G -/F27 9.9626 Tf -327.004 -22.878 Td [(imold)]TJ +/F41 9.9626 Tf -235.842 -29.908 Td [(2)]TJ 0 g 0 G -/F8 9.9626 Tf 32.987 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(in)27(teger)-333(v)28(ector)-334(storage.)]TJ -8.081 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(ob)-56(ject)-222(of)-222(a)-222(class)-223(deriv)28(ed)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 233.542 0 Td [(psb)]TJ +/F44 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F42 9.9626 Tf 136.209 -26.865 Td [(e)-15(r)-25(r)]TJ/F75 10.3811 Tf 15.141 0 Td [(=)]TJ/F73 10.3811 Tf 13.446 6.745 Td [(k)]TJ/F42 9.9626 Tf 5.34 0 Td [(r)]TJ/F42 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F73 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 425.471 227.312 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 273.365 563.335 cm +[]0 d 0 J 0.398 w 0 0 m 20.025 0 l S Q BT -/F30 9.9626 Tf 428.61 227.113 Td [(T)]TJ +/F73 10.3811 Tf 273.49 554.01 Td [(k)]TJ/F42 9.9626 Tf 5.439 0 Td [(b)]TJ/F73 10.3811 Tf 4.862 0 Td [(k)]TJ/F44 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F51 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F42 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ +0 g 0 G +/F41 9.9626 Tf -208.668 -29.848 Td [(3)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(r)18(eduction)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F42 9.9626 Tf 134.486 -26.865 Td [(e)-15(r)-25(r)]TJ/F75 10.3811 Tf 15.14 0 Td [(=)]TJ/F73 10.3811 Tf 15.17 6.745 Td [(k)]TJ/F42 9.9626 Tf 5.34 0 Td [(r)]TJ/F42 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F73 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 434.468 227.312 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 271.641 506.622 cm +[]0 d 0 J 0.398 w 0 0 m 23.472 0 l S Q BT -/F30 9.9626 Tf 437.606 227.113 Td [(base)]TJ +/F73 10.3811 Tf 271.766 497.297 Td [(k)]TJ/F42 9.9626 Tf 5.34 0 Td [(r)]TJ/F44 7.5716 Tf 4 -1.744 Td [(0)]TJ/F73 10.3811 Tf 4.408 1.744 Td [(k)]TJ/F44 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F51 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F42 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ/F44 9.9626 Tf -210.391 -29.848 Td [(The)-248(behaviour)-248(is)-248(contr)18(olled)-249(by)-248(the)-248(istop)-248(ar)18(gument)-248(\050see)-248(later\051.)-310(In)-248(the)-248(above)-248(for)18(-)]TJ 0 -11.956 Td [(mulae,)]TJ/F42 9.9626 Tf 32.81 0 Td [(x)]TJ/F42 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F44 9.9626 Tf 5.303 1.96 Td [(is)-256(the)-256(tentative)-257(soluti)1(on)-257(and)]TJ/F42 9.9626 Tf 125.144 0 Td [(r)]TJ/F42 7.5716 Tf 4.042 -1.96 Td [(i)]TJ/F75 10.3811 Tf 5.757 1.96 Td [(=)]TJ/F42 9.9626 Tf 11.2 0 Td [(b)]TJ/F73 10.3811 Tf 6.822 0 Td [(\000)]TJ/F42 9.9626 Tf 10.777 0 Td [(A)-42(x)]TJ/F42 7.5716 Tf 12.759 -1.96 Td [(i)]TJ/F44 9.9626 Tf 5.303 1.96 Td [(the)-256(corr)18(esponding)-256(r)18(esidual)]TJ -225.064 -11.955 Td [(at)-250(the)]TJ/F42 9.9626 Tf 27.083 0 Td [(i)]TJ/F44 9.9626 Tf 2.964 0 Td [(-th)-250(iteration.)]TJ -28.305 -17.357 Td [(c)-175(a)-175(l)-174(l)-880(p)-105(s)-105(b)]TJ ET q -1 0 0 1 459.155 227.312 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 150.28 433.215 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 462.293 227.113 Td [(vect)]TJ +/F44 9.9626 Tf 154.313 433.015 Td [(k)-105(r)-105(y)-104(l)-105(o)-105(v)-238(\050)-156(m)-21(e)-22(t)-21(h)-22(o)-22(d)-218(,)-208(a)-242(,)-255(p)-80(r)-81(e)-80(c)-335(,)-191(b)-206(,)-203(x)-231(,)-234(e)-60(p)-59(s)-293(,)-273(d)-98(e)-97(s)-98(c)]TJ ET q -1 0 0 1 483.842 227.312 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 352.02 433.215 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 486.98 227.113 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 355.983 433.015 Td [(a)-370(,)-283(i)-108(n)-108(f)-108(o)-274(,)-57(&)]TJ -227.086 -11.955 Td [(&)-580(i)-69(t)-69(m)-70(a)-69(x)-313(,)-327(i)-151(t)-152(e)-151(r)-478(,)-281(e)-107(r)-106(r)-387(,)-321(i)-145(t)-146(r)-146(a)-145(c)-146(e)-466(,)-336(i)-161(r)-160(s)-161(t)-496(,)-291(i)-116(s)-116(t)-116(o)-116(p)-407(,)-219(c)-43(o)-43(n)-44(d)-177(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F41 9.9626 Tf -29.002 -25.88 Td [(T)90(ype:)]TJ +0 g 0 G +/F44 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +0 g 0 G +/F41 9.9626 Tf -29.828 -19.349 Td [(On)-250(Entry)]TJ +0 g 0 G +0 g 0 G + 0 -19.349 Td [(method)]TJ +0 g 0 G +/F44 9.9626 Tf 39.851 0 Td [(a)-193(string)-194(that)-193(de\002nes)-194(the)-194(it)1(erative)-194(method)-193(to)-194(be)-194(use)1(d.)-292(Supported)-193(values)]TJ -14.944 -11.956 Td [(ar)18(e:)]TJ +0 g 0 G +/F41 9.9626 Tf 0 -19.349 Td [(CG:)]TJ +0 g 0 G +/F44 9.9626 Tf 22.964 0 Td [(the)-250(Conjugate)-250(Gradient)-250(method;)]TJ +0 g 0 G +/F41 9.9626 Tf -22.964 -15.364 Td [(CGS:)]TJ +0 g 0 G +/F44 9.9626 Tf 29.051 0 Td [(the)-250(Conjugate)-250(Gradient)-250(Stabilized)-250(method;)]TJ +0 g 0 G +/F41 9.9626 Tf -29.051 -15.365 Td [(GCR:)]TJ +0 g 0 G +/F44 9.9626 Tf 30.157 0 Td [(the)-250(Generalized)-250(Conjugate)-250(Residual)-250(method;)]TJ +0 g 0 G +/F41 9.9626 Tf -30.157 -15.364 Td [(FCG:)]TJ 0 g 0 G -/F27 9.9626 Tf -357.196 -24.133 Td [(On)-383(Return)]TJ +/F44 9.9626 Tf 28.503 0 Td [(the)-250(Flexible)-250(Conjugate)-250(Gradient)-250(method)]TJ +0 0 1 rg 0 0 1 RG +/F44 7.5716 Tf 176.854 3.616 Td [(5)]TJ +0 g 0 G +/F44 9.9626 Tf 4.284 -3.616 Td [(;)]TJ +0 g 0 G +/F41 9.9626 Tf -209.641 -15.364 Td [(BICG:)]TJ +0 g 0 G +/F44 9.9626 Tf 33.484 0 Td [(the)-250(Bi-Conjugate)-250(Gradient)-250(method;)]TJ +0 g 0 G +/F41 9.9626 Tf -33.484 -15.365 Td [(BICGST)92(AB:)]TJ +0 g 0 G +/F44 9.9626 Tf 59.696 0 Td [(the)-250(Bi-Conjugate)-250(Gradient)-250(Stabilized)-250(method;)]TJ +0 g 0 G +/F41 9.9626 Tf -59.696 -15.364 Td [(BICGST)92(ABL:)]TJ +0 g 0 G +/F44 9.9626 Tf 65.783 0 Td [(the)-218(Bi-Conjugate)-217(Gradient)-218(Stabilized)-218(method)-217(with)-218(r)18(estart-)]TJ -43.865 -11.955 Td [(ing;)]TJ 0 g 0 G +/F41 9.9626 Tf -21.918 -15.365 Td [(RGMRES:)]TJ 0 g 0 G - 0 -22.879 Td [(prec)]TJ +/F44 9.9626 Tf 52.294 0 Td [(the)-250(Generalized)-250(Minimal)-250(Residual)-250(method)-250(with)-250(r)18(estarting.)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.502 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(precondtioner)-333(data)-333(structure)]TJ +/F41 9.9626 Tf -77.201 -19.349 Td [(a)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(sparse)-250(matrix)]TJ/F42 9.9626 Tf 178.414 0 Td [(A)]TJ/F44 9.9626 Tf 7.317 0 Td [(.)]TJ -170.787 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(in)]TJ/F44 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 194.77 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 386.7 132.48 cm +1 0 0 1 309.258 138.701 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.838 132.281 Td [(prec)]TJ +/F49 9.9626 Tf 312.397 138.501 Td [(Tspmat)]TJ ET q -1 0 0 1 411.387 132.48 cm +1 0 0 1 344.406 138.701 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 414.525 132.281 Td [(type)]TJ -0 g 0 G +/F49 9.9626 Tf 347.544 138.501 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -99.437 -41.843 Td [(142)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G ET - -endstream -endobj -1871 0 obj -<< -/Length 1094 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G +q +1 0 0 1 99.895 130.091 cm +[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S +Q BT -/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F44 5.9776 Tf 110.755 123.219 Td [(5)]TJ/F44 7.9701 Tf 3.487 -2.893 Td [(Note:)-310(the)-250(implementation)-250(is)-250(for)]TJ/F42 7.9701 Tf 113.297 0 Td [(F)-31(C)-45(G)]TJ/F75 8.3049 Tf 16.387 0 Td [(\050)]TJ/F44 7.9701 Tf 3.319 0 Td [(1)]TJ/F75 8.3049 Tf 4.085 0 Td [(\051)]TJ/F44 7.9701 Tf 3.32 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ -24.907 -21.918 Td [(The)]TJ/F30 9.9626 Tf 21.638 0 Td [(amold)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 7.536 0 Td [(vmold)]TJ/F8 9.9626 Tf 30.631 0 Td [(and)]TJ/F30 9.9626 Tf 20.531 0 Td [(imold)]TJ/F8 9.9626 Tf 30.631 0 Td [(argumen)28(ts)-450(ma)28(y)-450(b)-27(e)-450(emplo)28(y)27(ed)-449(to)-450(in)28(terface)-450(with)]TJ -137.119 -11.955 Td [(sp)-28(ecial)-333(devices,)-334(suc)28(h)-333(as)-334(GPUs)-333(and)-333(other)-333(ac)-1(celerators.)]TJ 0 g 0 G - 164.384 -533.997 Td [(143)]TJ +/F44 9.9626 Tf 9.629 -29.888 Td [(149)]TJ 0 g 0 G ET endstream endobj -1879 0 obj +1864 0 obj << -/Length 5862 +/Length 7054 >> stream 0 g 0 G 0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(10.3)-1125(apply)-375(|)-375(Preconditioner)-375(application)-375(routine)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%apply\050x,y,desc_a,info,trans,work\051)]TJ 0 -11.956 Td [(call)-525(prec%apply\050x,desc_a,info,trans\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(prec)]TJ +BT +/F41 9.9626 Tf 150.705 706.129 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 119.33 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.832 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +/F44 9.9626 Tf 24.348 0 Td [(The)-250(data)-250(str)8(uctur)18(e)-250(containing)-250(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.538 0 Td [(psb)]TJ +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 389.467 578.35 cm +1 0 0 1 360.068 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ +/F49 9.9626 Tf 363.206 658.308 Td [(prec)]TJ ET q -1 0 0 1 414.155 578.35 cm +1 0 0 1 384.755 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ +/F49 9.9626 Tf 387.893 658.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.925 Td [(x)]TJ +/F41 9.9626 Tf -258.11 -22.202 Td [(b)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(source)-334(v)28(ector.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.851 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -99.972 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +/F44 9.9626 Tf 11.068 0 Td [(The)-250(RHS)-250(vector)74(.)]TJ 13.838 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.495 0 Td [(psb)]TJ +/F49 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q -1 0 0 1 415.426 522.559 cm +1 0 0 1 410.618 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 418.564 522.36 Td [(T)]TJ +/F49 9.9626 Tf 413.756 588.285 Td [(T)]TJ ET q -1 0 0 1 424.422 522.559 cm +1 0 0 1 419.614 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 522.36 Td [(vect)]TJ +/F49 9.9626 Tf 422.752 588.285 Td [(vect)]TJ ET q -1 0 0 1 449.109 522.559 cm +1 0 0 1 444.301 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 522.36 Td [(type)]TJ +/F49 9.9626 Tf 447.439 588.285 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -322.464 -19.926 Td [(desc)]TJ +/F41 9.9626 Tf -317.656 -22.202 Td [(x)]TJ +0 g 0 G +/F44 9.9626 Tf 9.963 0 Td [(The)-250(initial)-250(guess.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F41 9.9626 Tf 31.431 0 Td [(local)]TJ/F44 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.088 0 Td [(required)]TJ/F44 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.8 0 Td [(inout)]TJ/F44 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +0 0 1 rg 0 0 1 RG +/F49 9.9626 Tf 218.687 0 Td [(psb)]TJ ET q -1 0 0 1 172.619 502.634 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 410.618 518.461 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 176.057 502.434 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(data)-334(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 201.08 0 Td [(psb)]TJ +/F49 9.9626 Tf 413.756 518.262 Td [(T)]TJ ET q -1 0 0 1 393.01 466.768 cm +1 0 0 1 419.614 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 396.148 466.569 Td [(desc)]TJ +/F49 9.9626 Tf 422.752 518.262 Td [(vect)]TJ ET q -1 0 0 1 417.697 466.768 cm +1 0 0 1 444.301 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 420.835 466.569 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -291.052 -19.925 Td [(trans)]TJ -0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(Scop)-28(e:)]TJ -5.702 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(c)28(haracter.)]TJ +/F49 9.9626 Tf 447.439 518.262 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(w)32(ork)]TJ +/F44 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 29.431 0 Td [(an)-333(optional)-334(w)28(ork)-333(space)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 135.963 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -140.487 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(double)-333(precision)-333(arra)27(y)84(.)]TJ +/F41 9.9626 Tf -317.656 -22.203 Td [(eps)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +/F44 9.9626 Tf 20.473 0 Td [(The)-250(stopping)-250(tolerance.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(global)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -0 g 0 G - 0 -19.925 Td [(y)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(destination)-334(v)28(ector.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 134.856 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.977 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.495 0 Td [(psb)]TJ +/F41 9.9626 Tf -24.906 -22.203 Td [(desc)]TJ ET q -1 0 0 1 415.426 277.478 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 171.218 426.236 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 418.564 277.279 Td [(T)]TJ +/F41 9.9626 Tf 174.207 426.036 Td [(a)]TJ +0 g 0 G +/F44 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F41 9.9626 Tf 31.432 0 Td [(local)]TJ/F44 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F41 9.9626 Tf 27.089 0 Td [(required)]TJ/F44 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F41 9.9626 Tf 31.801 0 Td [(in)]TJ/F44 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +0 0 1 rg 0 0 1 RG +/F49 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 424.422 277.478 cm +1 0 0 1 360.068 378.415 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 277.279 Td [(vect)]TJ +/F49 9.9626 Tf 363.206 378.216 Td [(desc)]TJ ET q -1 0 0 1 449.109 277.478 cm +1 0 0 1 384.755 378.415 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 277.279 Td [(type)]TJ +/F49 9.9626 Tf 387.893 378.216 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F44 9.9626 Tf 20.922 0 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[(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.514 Td [(metho)-32(d)]TJ -0 g 0 G -/F8 9.9626 Tf 43.012 0 Td [(a)-235(string)-235(that)-235(de\014nes)-236(th)1(e)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.105 -11.955 Td [(are:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -19.513 Td [(CG:)]TJ -0 g 0 G -/F8 9.9626 Tf 25.446 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -25.446 -15.529 Td [(CGS:)]TJ -0 g 0 G -/F8 9.9626 Tf 31.811 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -31.811 -15.528 Td [(GCR:)]TJ -0 g 0 G -/F8 9.9626 Tf 34.039 0 Td [(the)-333(Generalized)-334(Conjugate)-333(Residual)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -34.039 -15.529 Td [(F)32(CG:)]TJ -0 g 0 G -/F8 9.9626 Tf 32.337 0 Td [(the)-333(Flexible)-334(Conjugate)-333(Gradien)28(t)-333(metho)-28(d)]TJ -0 0 1 rg 0 0 1 RG -/F7 6.9738 Tf 177.626 3.616 Td [(5)]TJ -0 g 0 G -/F8 9.9626 Tf 4.469 -3.616 Td [(;)]TJ -0 g 0 G -/F27 9.9626 Tf -214.432 -15.528 Td [(BICG:)]TJ -0 g 0 G -/F8 9.9626 Tf 37.941 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -37.941 -15.529 Td [(BICGST)96(AB:)]TJ -0 g 0 G -/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ -0 g 0 G -/F27 9.9626 Tf -68.133 -15.528 Td [(BICGST)96(ABL:)]TJ -0 g 0 G -/F8 9.9626 Tf 75.024 0 Td [(the)-222(Bi-Conjugate)-222(Gradien)27(t)-222(Stabilized)-222(metho)-28(d)-222(with)-222(restart-)]TJ -53.106 -11.955 Td [(ing;)]TJ -0 g 0 G -/F27 9.9626 Tf -21.918 -15.529 Td [(R)32(GMRES:)]TJ -0 g 0 G -/F8 9.9626 Tf 58.807 0 Td [(the)-333(Generalized)-334(Minimal)-333(Residual)-333(metho)-28(d)-333(with)-334(restarting.)]TJ -0 g 0 G -/F27 9.9626 Tf -83.714 -19.513 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.968 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.084 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 312.036 137.958 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 315.174 137.759 Td [(Tspmat)]TJ -ET -q -1 0 0 1 347.183 137.958 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 350.322 137.759 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -ET -q -1 0 0 1 99.895 129.78 cm -[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S -Q -BT -/F32 5.9776 Tf 110.987 123.138 Td [(5)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(Note:)-472(the)-355(implemen)30(tation)-354(is)-355(f)1(or)]TJ/F33 7.9701 Tf 120.25 0 Td [(F)-148(C)-70(G)]TJ/F31 7.9701 Tf 19.732 0 Td [(\0501\051.)]TJ -0 g 0 G -0 g 0 G -/F8 9.9626 Tf 9.159 -29.888 Td [(149)]TJ -0 g 0 G -ET - -endstream -endobj -1919 0 obj -<< -/Length 7123 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F27 9.9626 Tf 150.705 706.129 Td [(prec)]TJ -0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(The)-333(data)-334(structure)-333(con)28(taining)-333(the)-334(preconditioner.)]TJ -1.502 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 658.507 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 658.308 Td [(prec)]TJ -ET -q -1 0 0 1 387.532 658.507 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 390.67 658.308 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -22.202 Td [(b)]TJ -0 g 0 G -/F8 9.9626 Tf 11.346 0 Td [(The)-333(RHS)-334(v)28(ector.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(ar)1(ra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ -ET -q -1 0 0 1 415.426 588.484 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 418.564 588.285 Td [(T)]TJ -ET -q -1 0 0 1 424.422 588.484 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 427.56 588.285 Td [(vect)]TJ -ET -q -1 0 0 1 449.109 588.484 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 452.247 588.285 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -322.464 -22.202 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(initial)-334(guess.)]TJ 13.878 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(ar)1(ra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ -ET -q -1 0 0 1 415.426 518.461 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 418.564 518.262 Td [(T)]TJ -ET -q -1 0 0 1 424.422 518.461 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 427.56 518.262 Td [(vect)]TJ -ET -q -1 0 0 1 449.109 518.461 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 452.247 518.262 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -322.464 -22.203 Td [(eps)]TJ -0 g 0 G -/F8 9.9626 Tf 21.116 0 Td [(The)-333(stopping)-334(tolerance.)]TJ 3.79 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(n)28(um)27(b)-27(er.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -22.203 Td [(desc)]TJ -ET -q -1 0 0 1 172.619 426.236 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 176.057 426.036 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 378.415 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 378.216 Td [(desc)]TJ -ET -q -1 0 0 1 387.532 378.415 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 390.67 378.216 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -22.203 Td [(itmax)]TJ -0 g 0 G -/F8 9.9626 Tf 33.783 0 Td [(The)-333(maxim)27(um)-333(n)28(um)28(b)-28(er)-333(of)-334(iterations)-333(to)-333(p)-28(erform.)]TJ -8.877 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itmax)]TJ/F8 9.9626 Tf 29.505 0 Td [(=)-278(1000.)]TJ -68.941 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F11 9.9626 Tf 142.079 0 Td [(itmax)]TJ/F14 9.9626 Tf 29.505 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(1.)]TJ -0 g 0 G -/F27 9.9626 Tf -207.006 -22.202 Td [(itrace)]TJ -0 g 0 G -/F8 9.9626 Tf 33.25 0 Td [(If)]TJ/F11 9.9626 Tf 8.912 0 Td [(>)]TJ/F8 9.9626 Tf 10.516 0 Td [(0)-228(prin)28(t)-228(out)-228(an)-228(i)1(nformational)-228(message)-228(ab)-28(out)-228(con)28(v)28(ergence)-228(ev)27(ery)]TJ/F11 9.9626 Tf 265.015 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf -292.787 -11.955 Td [(iterations.)-444(If)-334(=)-278(0)-333(prin)28(t)-333(a)-334(message)-333(in)-333(cas)-1(e)-333(of)-333(con)28(v)27(ergence)-333(failure.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf 28.785 0 Td [(=)]TJ/F14 9.9626 Tf 10.516 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1.)]TJ -0 g 0 G -/F27 9.9626 Tf -111.392 -34.158 Td [(irst)]TJ -0 g 0 G -/F8 9.9626 Tf 21.857 0 Td [(An)-333(in)28(tege)-1(r)-333(sp)-28(ecifying)-333(the)-333(restart)-334(par)1(a)-1(meter.)]TJ 3.049 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(V)83(alues:)]TJ/F11 9.9626 Tf 37.507 0 Td [(ir)-28(st)-447(>)]TJ/F8 9.9626 Tf 33.134 0 Td [(0.)-750(This)-435(is)-435(emplo)28(y)27(ed)-435(for)-435(the)-435(BiCGST)83(ABL)-435(or)-435(R)28(GMRES)]TJ -70.641 -11.955 Td [(metho)-28(ds,)-333(otherwise)-334(it)-333(is)-333(ignored.)]TJ -0 g 0 G - 139.477 -29.888 Td [(150)]TJ -0 g 0 G -ET - -endstream -endobj -1924 0 obj -<< -/Length 4693 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F27 9.9626 Tf 99.895 706.129 Td [(istop)]TJ -0 g 0 G -/F8 9.9626 Tf 29.232 0 Td 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rm -f * + cd tmp ; rm -rf * clean-tmp: - cd tmp ; rm -f * + cd tmp ; rm -rf * #---------------------------------------------------------------------------- diff --git a/docs/src/commrout.tex b/docs/src/commrout.tex index bdfd7c1c..f2e38965 100644 --- a/docs/src/commrout.tex +++ b/docs/src/commrout.tex @@ -37,10 +37,8 @@ Long Precision Complex & psb\_halo \\ \caption{Data types\label{tab:f90halo}} \end{table} -\begin{lstlisting} -call psb_halo(x, desc_a, info) -call psb_halo(x, desc_a, info, work, data) -\end{lstlisting} +\noindent\fortinline|call psb_halo(x, desc_a, info)|\\ +\fortinline|call psb_halo(x, desc_a, info, work, data)| \begin{description} \item[Type:] Synchronous. @@ -65,8 +63,8 @@ Specified as: a rank one array of the same type of $x$. \item[data] index list selector.\\ Scope: {\bf global} \\ Type: {\bf optional} \\ -Specified as: an integer. Values:\verb|psb_comm_halo_|,\verb|psb_comm_mov_|, -\verb|psb_comm_ext_|, default: \verb|psb_comm_halo_|. Chooses the +Specified as: an integer. Values:\fortinline|psb_comm_halo_|,\fortinline|psb_comm_mov_|, +\fortinline|psb_comm_ext_|, default: \fortinline|psb_comm_halo_|. Chooses the index list on which to base the data exchange. @@ -102,7 +100,7 @@ distribution is such that each process will own 32 entries in the index space, with a halo made of 8 entries placed at local indices 33 through 40. If process 0 assigns an initial value of 1 to its entries in the $x$ vector, and process 1 assigns a value of 2, then after a -call to \verb|psb_halo| the contents of the local vectors will be the +call to \fortinline|psb_halo| the contents of the local vectors will be the following: \begin{table} \begin{center} @@ -189,10 +187,8 @@ Long Precision Complex & psb\_ovrl \\ \caption{Data types\label{tab:f90ovrl}} \end{table} -\begin{lstlisting} -call psb_ovrl(x, desc_a, info) -call psb_ovrl(x, desc_a, info, update=update_type, work=work) -\end{lstlisting} +\noindent\fortinline|call psb_ovrl(x, desc_a, info)|\\ +\fortinline|call psb_ovrl(x, desc_a, info, update=update_type, work=work)| \begin{description} \item[Type:] Synchronous. @@ -281,8 +277,8 @@ distribution is such that each process will own 40 entries in the index space, with an overlap of 16 entries placed at local indices 25 through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries in the $x$ vector, and process 1 assigns a value of 2, then after a -call to \verb|psb_ovrl| with \verb|psb_avg_| and a call to -\verb|psb_halo_| the contents of the local vectors will be the +call to \fortinline|psb_ovrl| with \fortinline|psb_avg_| and a call to +\fortinline|psb_halo_| the contents of the local vectors will be the following (showing a transition among the two subdomains) \begin{table} @@ -384,10 +380,9 @@ Long Precision Complex & psb\_gather \\ \caption{Data types\label{tab:gather}} \end{table} -\begin{lstlisting} -call psb_gather(glob_x, loc_x, desc_a, info, root) -call psb_gather(glob_x, loc_x, desc_a, info, root) -\end{lstlisting} +\noindent\fortinline|call psb_gather(glob_x, loc_x, desc_a, info, root)| +\fortinline|call psb_gather(glob_x, loc_x, desc_a, info, root)| + \begin{description} \item[Type:] Synchronous. @@ -439,7 +434,7 @@ Specified as: an integer variable $-1\le root\le np-1$, default $-1$. Scope: {\bf global} \\ Type: {\bf required}\\ Intent: {\bf out}.\\ -Specified as: a rank one or two array with the \verb|ALLOCATABLE| attribute. +Specified as: a rank one or two array with the \fortinline|ALLOCATABLE| attribute. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ @@ -484,9 +479,7 @@ Long Precision Complex & psb\_scatter \\ \caption{Data types\label{tab:scatter}} \end{table} -\begin{lstlisting} -call psb_scatter(glob_x, loc_x, desc_a, info, root, mold) -\end{lstlisting} +\fortinline|call psb_scatter(glob_x, loc_x, desc_a, info, root, mold)| \begin{description} \item[Type:] Synchronous. @@ -507,7 +500,7 @@ Scope: {\bf global} \\ Type: {\bf optional}\\ Intent: {\bf in}.\\ Specified as: an integer variable $-1\le root\le np-1$, default -\verb|psb_root_|, i.e. process 0. +\fortinline|psb_root_|, i.e. process 0. \item[mold] The desired dynamic type for the internal vector storage.\\ Scope: {\bf local}.\\ Type: {\bf optional}.\\ diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex index 16e02f2f..07fb6375 100644 --- a/docs/src/datastruct.tex +++ b/docs/src/datastruct.tex @@ -10,23 +10,23 @@ communication descriptors and preconditioners.%% These data structures All the data types and the basic subroutine interfaces related to descriptors and sparse matrices are defined in -the module \verb|psb_base_mod|; this will have to be included by every +the module \fortinline|psb_base_mod|; this will have to be included by every user subroutine that makes use of the library. The preconditioners are -defined in the module \verb|psb_prec_mod| +defined in the module \fortinline|psb_prec_mod| Integer, real and complex data types are parametrized with a kind type defined in the library as follows: \begin{description} \item[psb\_spk\_] Kind parameter for short precision real and complex - data; corresponds to a \verb|REAL| declaration and is + data; corresponds to a \fortinline|REAL| declaration and is normally 4 bytes; \item[psb\_dpk\_] Kind parameter for long precision real and complex - data; corresponds to a \verb|DOUBLE PRECISION| declaration and is + data; corresponds to a \fortinline|DOUBLE PRECISION| declaration and is normally 8 bytes; \item[psb\_mpk\_] Kind parameter for 4-bytes integer data, as is always used by MPI; \item[psb\_epk\_] Kind parameter for 8-bytes integer data, as is - always used by the \verb|sizeof| methods; + always used by the \fortinline|sizeof| methods; \item[psb\_ipk\_] Kind parameter for ``local'' integer indices and data; with default build options this is a 4 bytes integer; \item[psb\_lpk\_] Kind parameter for ``global'' integer indices and data; @@ -54,13 +54,13 @@ Every structure of this type is associated with a discretization pattern and enables data communications and other operations that are necessary for implementing the various algorithms of interest to us. -The data structure itself \verb|psb_desc_type| can be treated as an +The data structure itself \fortinline|psb_desc_type| can be treated as an opaque object handled via the tools routines of Sec.~\ref{sec:toolsrout} or the query routines detailed below; nevertheless we include here a description for the curious reader. -First we describe the \verb|psb_indx_map| type. This is a data +First we describe the \fortinline|psb_indx_map| type. This is a data structure that keeps track of a certain number of basic issues such as: \begin{itemize} @@ -142,10 +142,23 @@ Specified as: an allocatable integer array of rank two. \item [{\bf bnd\_elem}] A list of all boundary points, i.e. points that have a connection with other processes. \end{description} -The Fortran~2003 declaration for \verb|psb_desc_type| structures is +The Fortran~2003 declaration for \fortinline|psb_desc_type| structures is as follows: -\begin{figure}[h!] +\begin{listing}[h!] % \begin{Sbox} +\ifpdf +\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran} +type psb_desc_type + class(psb_indx_map), allocatable :: indxmap + type(psb_i_vect_type) :: v_halo_index + type(psb_i_vect_type) :: v_ext_index + type(psb_i_vect_type) :: v_ovrlap_index + type(psb_i_vect_type) :: v_ovr_mst_idx + integer, allocatable :: ovrlap_elem(:,:) + integer, allocatable :: bnd_elem(:) +end type psb_desc_type +\end{minted} +\else \begin{center} \begin{minipage}[tl]{0.9\textwidth} \begin{verbatim} @@ -161,6 +174,7 @@ end type psb_desc_type \end{verbatim} \end{minipage} \end{center} +\fi % \end{Sbox} % \setlength{\fboxsep}{8pt} % \begin{center} @@ -168,7 +182,7 @@ end type psb_desc_type % \end{center} \caption{\label{fig:desctype}The PSBLAS defined data type that contains the communication descriptor.} -\end{figure} +\end{listing} A communication descriptor associated with a sparse matrix has a state, which can take the following values: \begin{description} @@ -291,9 +305,9 @@ myidx = desc%get_global_indices([owned]) Scope: {\bf local}.\\ Type: {\bf required}.\\ \item[owned] Choose if you only want owned indices - (\verb|owned=.true.|) or also halo indices (\verb|owned=.false.|). + (\fortinline|owned=.true.|) or also halo indices (\fortinline|owned=.false.|). Scope: {\bf local}.\\ -Type: {\bf optional}; default: \verb|.true.|.\\ +Type: {\bf optional}; default: \fortinline|.true.|.\\ % Intent: {\bf in}.\\ % Specified as: a object of type \descdata. \end{description} @@ -301,7 +315,7 @@ Type: {\bf optional}; default: \verb|.true.|.\\ \begin{description} \item[\bf On Return] \item[Function value] The global indices, returned as an allocatable - integer array of kind \verb|psb_lpk_| and rank 1. + integer array of kind \fortinline|psb_lpk_| and rank 1. \end{description} @@ -367,7 +381,7 @@ Scope: {\bf local}.\\ % Intent: {\bf in}.\\ Specified as: a object of type derived from (integer) \vbasedata. \end{description} -The \verb|mold| arguments may be +The \fortinline|mold| arguments may be employed to interface with special devices, such as GPUs and other accelerators. @@ -407,7 +421,7 @@ Intent: {\bf in}.\\ Specified as: an integer value greater than zero. \end{description} Note: the threshold value is only queried by the library at the time a -call to \verb|psb_cdall| is executed, therefore changing the threshold +call to \fortinline|psb_cdall| is executed, therefore changing the threshold has no effect on communication descriptors that have already been initialized. Moreover the threshold must have the same value on all processes. @@ -443,13 +457,13 @@ call desc%set_p_adjcncy(list) Scope: {\bf local}.\\ Type: {\bf required}.\\ Intent: {\bf in}.\\ -Specified as: a one-dimensional array of integers of kind \verb|psb_ipk_|. +Specified as: a one-dimensional array of integers of kind \fortinline|psb_ipk_|. \end{description} -Note: this method can be called after a call to \verb|psb_cdall| and -before a call to \verb|psb_cdasb|. The user is specifying here some +Note: this method can be called after a call to \fortinline|psb_cdall| and +before a call to \fortinline|psb_cdasb|. The user is specifying here some knowledge about which processes are topological neighbours of the current process. The availability of this information may speed up the -execution of the assembly call \verb|psb_cdasb|. +execution of the assembly call \fortinline|psb_cdasb|. \subsubsection{fnd\_owner --- Find the owner process of a set of indices} @@ -466,13 +480,13 @@ call desc%fnd_owner(idx,iprc,info) Scope: {\bf local}.\\ Type: {\bf required}.\\ Intent: {\bf in}.\\ -Specified as: a one-dimensional array of integers of kind \verb|psb_lpk_|. +Specified as: a one-dimensional array of integers of kind \fortinline|psb_lpk_|. \item[\bf On Return] -\item[iprc] the list of processes owning the indices in \verb|idx|.\\ +\item[iprc] the list of processes owning the indices in \fortinline|idx|.\\ Scope: {\bf local}.\\ Type: {\bf required}.\\ Intent: {\bf in}.\\ -Specified as: an allocatable one-dimensional array of integers of kind \verb|psb_ipk_|. +Specified as: an allocatable one-dimensional array of integers of kind \fortinline|psb_ipk_|. \end{description} Note: this method may or may not actually require communications, depending on the exact internal data storage; given that the choice of storage may @@ -491,18 +505,18 @@ method is called by all processes. \item[psb\_halo\_] Fetch halo elements from neighbouring processes; \item[psb\_sum\_] Sum overlapped elements \item[psb\_avg\_] Average overlapped elements -\item[psb\_comm\_halo\_] Exchange data based on the \verb|halo_index| +\item[psb\_comm\_halo\_] Exchange data based on the \fortinline|halo_index| list; -\item[psb\_comm\_ext\_] Exchange data based on the \verb|ext_index| +\item[psb\_comm\_ext\_] Exchange data based on the \fortinline|ext_index| list; -\item[psb\_comm\_ovr\_] Exchange data based on the \verb|ovrlap_index| +\item[psb\_comm\_ovr\_] Exchange data based on the \fortinline|ovrlap_index| list; -\item[psb\_comm\_mov\_] Exchange data based on the \verb|ovr_mst_idx| +\item[psb\_comm\_mov\_] Exchange data based on the \fortinline|ovr_mst_idx| list; %% \item[psb\_square\_root\_] Update with the square root of the average %% of overlapped elements; -%% \item[psb\_dec\_type\_] Entry holding decomposition type (in \verb|desc_a%matrix_data|) +%% \item[psb\_dec\_type\_] Entry holding decomposition type (in \fortinline|desc_a%matrix_data|) %% \item[psb\_m\_] Entry holding total number of rows %% \item[psb\_n\_] Entry holding total number of columns %% \item[ psb\_n\_row\_] Entry holding the number of rows stored in the @@ -524,7 +538,7 @@ contains all information about the local portion of the sparse matrix and its storage mode. Its design is based on the STATE design pattern~\cite{DesignPatterns} as detailed in~\cite{Sparse03}; the type declaration is shown in -figure~\ref{fig:spmattype} where \verb|T| is a placeholder for the +figure~\ref{fig:spmattype} where \fortinline|T| is a placeholder for the data type and precision variants \begin{description} \item[S] Single precision real; @@ -532,14 +546,21 @@ data type and precision variants \item[C] Single precision complex; \item[Z] Double precision complex; \item[LS,LD,LC,LZ] Same numeric type as above, but with - \verb|psb_lpk_| integer indices. + \fortinline|psb_lpk_| integer indices. \end{description} -The actual data is contained in the polymorphic component \verb|a%a| +The actual data is contained in the polymorphic component \fortinline|a%a| of type \hypertarget{spbasedata}{{\tt psb\_T\_base\_sparse\_mat}}; its specific layout can be chosen dynamically among the predefined types, or an entirely new storage layout can be implemented and passed to the -library at runtime via the \verb|psb_spasb| routine. -\begin{figure}[h!] +library at runtime via the \fortinline|psb_spasb| routine. +\begin{listing}[h!] +\ifpdf +\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran} + type :: psb_Tspmat_type + class(psb_T_base_sparse_mat), allocatable :: a + end type psb_Tspmat_type +\end{minted} +\else % \begin{Sbox} \begin{center} \begin{minipage}[tl]{0.85\textwidth} @@ -555,10 +576,11 @@ library at runtime via the \verb|psb_spasb| routine. % \begin{center} % \fbox{\TheSbox} % \end{center} +\fi \caption{\label{fig:spmattype} The PSBLAS defined data type that contains a sparse matrix.} -\end{figure} +\end{listing} The following very common formats are precompiled in PSBLAS and thus are always available: \begin{description} @@ -603,7 +625,7 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] -\item[Function value] The number of rows of sparse matrix \verb|a|. +\item[Function value] The number of rows of sparse matrix \fortinline|a|. \end{description} @@ -627,7 +649,7 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] -\item[Function value] The number of columns of sparse matrix \verb|a|. +\item[Function value] The number of columns of sparse matrix \fortinline|a|. \end{description} @@ -651,13 +673,13 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] -\item[Function value] The number of nonzero elements stored in sparse matrix \verb|a|. +\item[Function value] The number of nonzero elements stored in sparse matrix \fortinline|a|. \end{description} {\par\noindent\bfseries Notes} \begin{enumerate} \item The function value is specific to the storage format of matrix - \verb|a|; some storage formats employ padding, thus the returned + \fortinline|a|; some storage formats employ padding, thus the returned value for the same matrix may be different for different storage choices. \end{enumerate} @@ -682,7 +704,7 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] \item[Function value] The maximum number of nonzero elements that can - be stored in sparse matrix \verb|a| using its current memory allocation. + be stored in sparse matrix \fortinline|a| using its current memory allocation. \end{description} \subsubsection{sizeof --- Get memory occupation in bytes @@ -712,9 +734,9 @@ Scope: {\bf local}\\ \subsubsection{get\_fmt --- Short description of the dynamic type} %\addcontentsline{toc}{paragraph}{get\_fmt } -\begin{verbatim} -write(*,*) a%get_fmt() -\end{verbatim} + +\fortinline|write(*,*) a%get_fmt()| + \begin{description} \item[Type:] Asynchronous. @@ -729,18 +751,17 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] \item[Function value] A short string describing the dynamic type of - the matrix. Predefined values include \verb|NULL|, \verb|COO|, - \verb|CSR| and \verb|CSC|. + the matrix. Predefined values include \fortinline|NULL|, \fortinline|COO|, + \fortinline|CSR| and \fortinline|CSC|. \end{description} \subsubsection{is\_bld, is\_upd, is\_asb --- Status check} %\addcontentsline{toc}{paragraph}{is\_bld, is\_upd, is\_asb } -\begin{verbatim} -if (a%is_bld()) then -if (a%is_upd()) then -if (a%is_asb()) then -\end{verbatim} + +\fortinline|if (a%is_bld()) then|\\ +\fortinline|if (a%is_upd()) then|\\ +\fortinline|if (a%is_asb()) then| \begin{description} \item[Type:] Asynchronous. @@ -754,7 +775,7 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] -\item[Function value] A \verb|logical| value indicating whether the +\item[Function value] A \fortinline|logical| value indicating whether the matrix is in the Build, Update or Assembled state, respectively. \end{description} @@ -762,12 +783,21 @@ Scope: {\bf local}\\ Format check} %\addcontentsline{toc}{paragraph}{is\_lower, is\_upper, is\_triangle, is\_unit} +\ifpdf +\begin{minted}{fortran} +if (a%is_triangle()) then +if (a%is_upper()) then +if (a%is_lower()) then +if (a%is_unit()) then +\end{minted} +\else \begin{verbatim} if (a%is_triangle()) then if (a%is_upper()) then if (a%is_lower()) then if (a%is_unit()) then \end{verbatim} +\fi \begin{description} \item[Type:] Asynchronous. @@ -781,8 +811,8 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] -\item[Function value] A \verb|logical| value indicating whether the - matrix is triangular; if \verb|is_triangle()| returns \verb|.true.| +\item[Function value] A \fortinline|logical| value indicating whether the + matrix is triangular; if \fortinline|is_triangle()| returns \fortinline|.true.| check also if it is lower, upper and with a unit (i.e. assumed) diagonal. \end{description} @@ -791,20 +821,27 @@ Scope: {\bf local}\\ \subsubsection{cscnv --- Convert to a different storage format} %\addcontentsline{toc}{paragraph}{cscnv} +\ifpdf +\begin{minted}{fortran} +call a%cscnv(b,info [, type, mold, dupl]) +call a%cscnv(info [, type, mold, dupl]) +\end{minted} +\else \begin{verbatim} call a%cscnv(b,info [, type, mold, dupl]) call a%cscnv(info [, type, mold, dupl]) \end{verbatim} +\fi \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] \item[a] the sparse matrix.\\ -A variable of type \verb|psb_Tspmat_type|.\\ +A variable of type \fortinline|psb_Tspmat_type|.\\ Scope: {\bf local}.\\ \item[type] a string requesting a new format.\\ Type: optional. -\item[mold] a variable of \verb|class(psb_T_base_sparse_mat)| requesting a new format.\\ +\item[mold] a variable of \fortinline|class(psb_T_base_sparse_mat)| requesting a new format.\\ Type: optional. \item[dupl] an integer value specifing how to handle duplicates (see Named Constants below) @@ -812,30 +849,38 @@ Type: optional. \begin{description} \item[\bf On Return] -\item[b,a] A copy of \verb|a| with a new storage format.\\ -A variable of type \verb|psb_Tspmat_type|. +\item[b,a] A copy of \fortinline|a| with a new storage format.\\ +A variable of type \fortinline|psb_Tspmat_type|. \item[info] Return code. \end{description} -The \verb|mold| arguments may be +The \fortinline|mold| arguments may be employed to interface with special devices, such as GPUs and other accelerators. \subsubsection{csclip --- Reduce to a submatrix} %\addcontentsline{toc}{paragraph}{csclip} + +\ifpdf +\begin{minted}{fortran} + call a%csclip(b,info[,& + & imin,imax,jmin,jmax,rscale,cscale]) +\end{minted} +\else \begin{verbatim} call a%csclip(b,info[,& & imin,imax,jmin,jmax,rscale,cscale]) \end{verbatim} +\fi -Returns the submatrix \verb|A(imin:imax,jmin:jmax)|, optionally +Returns the submatrix \fortinline|A(imin:imax,jmin:jmax)|, optionally rescaling row/col indices to the range -\verb|1:imax-imin+1,1:jmax-jmin+1|. +\fortinline|1:imax-imin+1,1:jmax-jmin+1|. \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] \item[a] the sparse matrix.\\ -A variable of type \verb|psb_Tspmat_type|.\\ +A variable of type \fortinline|psb_Tspmat_type|.\\ Scope: {\bf local}.\\ \item[imin,imax,jmin,jmax] Minimum and maximum row and column indices.\\ Type: optional. @@ -844,16 +889,14 @@ Type: optional. \end{description} \begin{description} \item[\bf On Return] -\item[b] A copy of a submatrix of \verb|a|.\\ -A variable of type \verb|psb_Tspmat_type|. +\item[b] A copy of a submatrix of \fortinline|a|.\\ +A variable of type \fortinline|psb_Tspmat_type|. \item[info] Return code. \end{description} \subsubsection{clean\_zeros --- Eliminate zero coefficients} %\addcontentsline{toc}{paragraph}{clean\_zeros} -\begin{verbatim} - call a%clean_zeros(info) -\end{verbatim} +\fortinline|call a%clean_zeros(info)| Eliminates zero coefficients in the input matrix. Note that depending on the internal storage format, there may still be some amount of @@ -863,28 +906,26 @@ zero padding in the output. \item[Type:] Asynchronous. \item[\bf On Entry] \item[a] the sparse matrix.\\ -A variable of type \verb|psb_Tspmat_type|.\\ +A variable of type \fortinline|psb_Tspmat_type|.\\ Scope: {\bf local}.\\ \end{description} \begin{description} \item[\bf On Return] -\item[a] The matrix \verb|a| without zero coefficients.\\ -A variable of type \verb|psb_Tspmat_type|. +\item[a] The matrix \fortinline|a| without zero coefficients.\\ +A variable of type \fortinline|psb_Tspmat_type|. \item[info] Return code. \end{description} \subsubsection{get\_diag --- Get main diagonal} %\addcontentsline{toc}{paragraph}{get\_diag} -\begin{verbatim} - call a%get_diag(d,info) -\end{verbatim} +\fortinline|call a%get_diag(d,info)| Returns a copy of the main diagonal. \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] \item[a] the sparse matrix.\\ -A variable of type \verb|psb_Tspmat_type|.\\ +A variable of type \fortinline|psb_Tspmat_type|.\\ Scope: {\bf local}.\\ \end{description} \begin{description} @@ -897,45 +938,51 @@ A one-dimensional array of the appropriate type. \subsubsection{clip\_diag --- Cut out main diagonal} %\addcontentsline{toc}{paragraph}{clip\_diag} -\begin{verbatim} - call a%clip_diag(b,info) -\end{verbatim} +\fortinline|call a%clip_diag(b,info)| -Returns a copy of \verb|a| without the main diagonal. +Returns a copy of \fortinline|a| without the main diagonal. \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] \item[a] the sparse matrix.\\ -A variable of type \verb|psb_Tspmat_type|.\\ +A variable of type \fortinline|psb_Tspmat_type|.\\ Scope: {\bf local}.\\ \end{description} \begin{description} \item[\bf On Return] -\item[b] A copy of \verb|a| without the main diagonal.\\ -A variable of type \verb|psb_Tspmat_type|. +\item[b] A copy of \fortinline|a| without the main diagonal.\\ +A variable of type \fortinline|psb_Tspmat_type|. \item[info] Return code. \end{description} \subsubsection{tril --- Return the lower triangle} %\addcontentsline{toc}{paragraph}{tril} + +\ifpdf +\begin{minted}{fortran} + call a%tril(l,info[,& + & diag,imin,imax,jmin,jmax,rscale,cscale,u]) +\end{minted} +\else \begin{verbatim} call a%tril(l,info[,& & diag,imin,imax,jmin,jmax,rscale,cscale,u]) \end{verbatim} +\fi Returns the lower triangular part of submatrix -\verb|A(imin:imax,jmin:jmax)|, optionally rescaling row/col indices to -the range \verb|1:imax-imin+1,1:jmax-jmin+1| and returing the +\fortinline|A(imin:imax,jmin:jmax)|, optionally rescaling row/col indices to +the range \fortinline|1:imax-imin+1,1:jmax-jmin+1| and returing the complementary upper triangle. \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] \item[a] the sparse matrix.\\ -A variable of type \verb|psb_Tspmat_type|.\\ +A variable of type \fortinline|psb_Tspmat_type|.\\ Scope: {\bf local}.\\ -\item[diag] Include diagonals up to this one; \verb|diag=1| means the - first superdiagonal, \verb|diag=-1| means the first subdiagonal. +\item[diag] Include diagonals up to this one; \fortinline|diag=1| means the + first superdiagonal, \fortinline|diag=-1| means the first subdiagonal. Default 0. \item[imin,imax,jmin,jmax] Minimum and maximum row and column indices.\\ Type: optional. @@ -944,32 +991,39 @@ Type: optional. \end{description} \begin{description} \item[\bf On Return] -\item[l] A copy of the lower triangle of \verb|a|.\\ -A variable of type \verb|psb_Tspmat_type|. -\item[u] (optional) A copy of the upper triangle of \verb|a|.\\ -A variable of type \verb|psb_Tspmat_type|. +\item[l] A copy of the lower triangle of \fortinline|a|.\\ +A variable of type \fortinline|psb_Tspmat_type|. +\item[u] (optional) A copy of the upper triangle of \fortinline|a|.\\ +A variable of type \fortinline|psb_Tspmat_type|. \item[info] Return code. \end{description} \subsubsection{triu --- Return the upper triangle} %\addcontentsline{toc}{paragraph}{triu} +\ifpdf +\begin{minted}{fortran} + call a%triu(u,info[,& + & diag,imin,imax,jmin,jmax,rscale,cscale,l]) +\end{minted} +\else \begin{verbatim} call a%triu(u,info[,& & diag,imin,imax,jmin,jmax,rscale,cscale,l]) \end{verbatim} +\fi Returns the upper triangular part of submatrix -\verb|A(imin:imax,jmin:jmax)|, optionally rescaling row/col indices to -the range \verb|1:imax-imin+1,1:jmax-jmin+1|, and returing the +\fortinline|A(imin:imax,jmin:jmax)|, optionally rescaling row/col indices to +the range \fortinline|1:imax-imin+1,1:jmax-jmin+1|, and returing the complementary lower triangle. \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] \item[a] the sparse matrix.\\ -A variable of type \verb|psb_Tspmat_type|.\\ +A variable of type \fortinline|psb_Tspmat_type|.\\ Scope: {\bf local}.\\ -\item[diag] Include diagonals up to this one; \verb|diag=1| means the - first superdiagonal, \verb|diag=-1| means the first subdiagonal. +\item[diag] Include diagonals up to this one; \fortinline|diag=1| means the + first superdiagonal, \fortinline|diag=-1| means the first subdiagonal. Default 0. \item[imin,imax,jmin,jmax] Minimum and maximum row and column indices.\\ Type: optional. @@ -978,10 +1032,10 @@ Type: optional. \end{description} \begin{description} \item[\bf On Return] -\item[u] A copy of the upper triangle of \verb|a|.\\ -A variable of type \verb|psb_Tspmat_type|. -\item[l] (optional) A copy of the lower triangle of \verb|a|.\\ -A variable of type \verb|psb_Tspmat_type|. +\item[u] A copy of the upper triangle of \fortinline|a|.\\ +A variable of type \fortinline|psb_Tspmat_type|. +\item[l] (optional) A copy of the lower triangle of \fortinline|a|.\\ +A variable of type \fortinline|psb_Tspmat_type|. \item[info] Return code. \end{description} @@ -992,14 +1046,12 @@ A variable of type \verb|psb_Tspmat_type|. %\addcontentsline{toc}{paragraph}{psb\_set\_mat\_default} -\begin{verbatim} -call psb_set_mat_default(a) -\end{verbatim} +\fortinline|call psb_set_mat_default(a)| \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] -\item[a] a variable of \verb|class(psb_T_base_sparse_mat)| requesting +\item[a] a variable of \fortinline|class(psb_T_base_sparse_mat)| requesting a new default storage format.\\ Type: required. \end{description} @@ -1011,9 +1063,7 @@ Type: required. \subsubsection{clone --- Clone current object} %\addcontentsline{toc}{paragraph}{clone} -\begin{verbatim} -call a%clone(b,info) -\end{verbatim} +\fortinline|call a%clone(b,info)| \begin{description} \item[Type:] Asynchronous. @@ -1063,7 +1113,7 @@ get a full copy of the part of the vector stored on the local process. The type declaration is shown in -figure~\ref{fig:vectype} where \verb|T| is a placeholder for the +figure~\ref{fig:vectype} where \fortinline|T| is a placeholder for the data type and precision variants \begin{description} \item[I] Integer; @@ -1072,14 +1122,26 @@ data type and precision variants \item[C] Single precision complex; \item[Z] Double precision complex. \end{description} -The actual data is contained in the polymorphic component \verb|v%v|; +The actual data is contained in the polymorphic component \fortinline|v%v|; the separation between the application and the actual data is essential for cases where it is necessary to link to data storage made available elsewhere outside the direct control of the compiler/application, e.g. data stored in a graphics accelerator's private memory. -\begin{figure}[h!] +\begin{listing}[h!] % \begin{Sbox} + +\ifpdf +\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran} + type psb_T_base_vect_type + TYPE(KIND_), allocatable :: v(:) + end type psb_T_base_vect_type + + type psb_T_vect_type + class(psb_T_base_vect_type), allocatable :: v + end type psb_T_vect_type +\end{minted} +\else \begin{center} \begin{minipage}[tl]{0.85\textwidth} \begin{verbatim} @@ -1094,6 +1156,7 @@ private memory. \end{verbatim} \end{minipage} \end{center} +\fi % \end{Sbox} % \setlength{\fboxsep}{8pt} % \begin{center} @@ -1102,15 +1165,13 @@ private memory. \caption{\label{fig:vectype} The PSBLAS defined data type that contains a dense vector.} -\end{figure} +\end{listing} \subsubsection{Vector Methods} \subsubsection{get\_nrows --- Get number of rows in a dense vector} %\addcontentsline{toc}{paragraph}{get\_nrows} -\begin{verbatim} -nr = v%get_nrows() -\end{verbatim} +\fortinline|nr = v%get_nrows()| \begin{description} \item[Type:] Asynchronous. @@ -1124,7 +1185,7 @@ Scope: {\bf local}\\ \begin{description} \item[\bf On Return] -\item[Function value] The number of rows of dense vector \verb|v|. +\item[Function value] The number of rows of dense vector \fortinline|v|. \end{description} @@ -1132,9 +1193,7 @@ Scope: {\bf local}\\ of a dense vector} %\addcontentsline{toc}{paragraph}{sizeof } -\begin{verbatim} -memory_size = v%sizeof() -\end{verbatim} +\fortinline|memory_size = v%sizeof()| \begin{description} \item[Type:] Asynchronous. @@ -1155,11 +1214,19 @@ Scope: {\bf local}\\ \subsubsection{set --- Set contents of the vector} %\addcontentsline{toc}{paragraph}{set } +\ifpdf +\begin{minted}{fortran} + call v%set(alpha[,first,last]) + call v%set(vect[,first,last]) + call v%zero() +\end{minted} +\else \begin{verbatim} call v%set(alpha[,first,last]) call v%set(vect[,first,last]) call v%zero() \end{verbatim} +\fi \begin{description} \item[Type:] Asynchronous. @@ -1180,8 +1247,8 @@ type indicated in Table~\ref{tab:f90axpby}. required} \\ Intent: {\bf in}.\\ Specified as: a number of the data type indicated in Table~\ref{tab:f90axpby}. \end{description} -Note that a call to \verb|v%zero()| is provided as a shorthand, but -is equivalent to a call to \verb|v%set(zero)| with the \verb|zero| +Note that a call to \fortinline|v%zero()| is provided as a shorthand, but +is equivalent to a call to \fortinline|v%set(zero)| with the \fortinline|zero| constant having the appropriate type and kind. \begin{description} @@ -1251,23 +1318,30 @@ factorization ILU(0). A preconditioner is held in the \hypertarget{precdata}{{\tt psb\_prec\_type}} data structure reported in -figure~\ref{fig:prectype}. The \verb|psb_prec_type| +figure~\ref{fig:prectype}. The \fortinline|psb_prec_type| data type may contain a simple preconditioning matrix with the associated communication descriptor.%% which may be different than the %% system communication descriptor in the case of parallel %% preconditioners like the Additive Schwarz one. Then the -%% \verb|psb_prec_type| may contain more than one preconditioning matrix +%% \fortinline|psb_prec_type| may contain more than one preconditioning matrix %% like in the case of Two-Level (in general Multi-Level) preconditioners. %% The user can choose the type of preconditioner to be used by means of -%% the \verb|psb_precset| subroutine; once the type of preconditioning +%% the \fortinline|psb_precset| subroutine; once the type of preconditioning %% method is specified, along with all the parameters that characterize %% it, the preconditioner data structure can be built using the -%% \verb|psb_precbld| subroutine. +%% \fortinline|psb_precbld| subroutine. %% This data structure wants to be flexible enough to easily allow the %% implementation of new kind of preconditioners. The internal preconditioner is allocated appropriately with the dynamic type corresponding to the desired preconditioner. -\begin{figure}[h!] +\begin{listing}[h!] +\ifpdf +\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran} + type psb_Tprec_type + class(psb_T_base_prec_type), allocatable :: prec + end type psb_Tprec_type +\end{minted} +\else \small % \begin{Sbox} \begin{center} @@ -1281,13 +1355,14 @@ dynamic type corresponding to the desired preconditioner. \end{verbatim} \end{minipage} \end{center} +\fi % \end{Sbox} % \setlength{\fboxsep}{8pt} % \begin{center} % \fbox{\TheSbox} % \end{center} \caption{\label{fig:prectype}The PSBLAS defined data type that contains a preconditioner.} -\end{figure} +\end{listing} %% \subsection{Named Constants} %% \label{sec:prec_constants} @@ -1318,7 +1393,7 @@ of sorting utilities; the heap sort is implemented in terms of heaps having the following signatures: \begin{description} \item[\tt psb\_T\_heap]: a heap containing elements of type T, where T - can be \verb|i,s,c,d,z| for integer, real and complex data; + can be \fortinline|i,s,c,d,z| for integer, real and complex data; \item[\tt psb\_T\_idx\_heap]: a heap containing elements of type T, as above, together with an integer index. \end{description} @@ -1332,7 +1407,7 @@ Given a heap object, the following methods are defined on it: \item[dump] Print on file; \item[free] Release memory. \end{description} -These objects are used in MLD2P4 to implement the factorization +These objects are used in AMG4PSBLAS to implement the factorization algorithms. %%% Local Variables: diff --git a/docs/src/error.tex b/docs/src/error.tex index a483d3d1..e6bb0d2d 100644 --- a/docs/src/error.tex +++ b/docs/src/error.tex @@ -37,7 +37,35 @@ user with \verb|psb_set_erraction|. The default is to print the error and terminate the program, but the user may choose to handle the error explicitly. -\begin{figure}[h!] +\begin{listing}[h!] +\ifpdf +\begin{minted}[breaklines=true,bgcolor=bg]{fortran} +subroutine psb_foo(some args, info) + !... + if(error detected) then + info=errcode1 + call psb_errpush('psb_foo', errcode1) + goto 9999 + end if + !... + call psb_bar(some args, info) + if(info .ne. zero) then + info=errcode2 + call psb_errpush('psb_foo', errcode2) + goto 9999 + end if + !... +9999 continue + if (err_act .eq. act_abort) then + call psb_error(icontxt) + return + else + return +end if + +end subroutine psb_foo +\end{minted} +\else \begin{Sbox} \begin{minipage}[tl]{0.95\textwidth} \small @@ -73,9 +101,10 @@ end subroutine psb_foo \begin{center} \fbox{\TheSbox} \end{center} +\fi \caption{\label{fig:routerr}The layout of a generic \texttt{psb\_foo} routine with respect to PSBLAS-2.0 error handling policy.} -\end{figure} +\end{listing} @@ -88,7 +117,25 @@ the error has been detected inside the \verb|psb_cest| subroutine called by \verb|psb_spasb| ... by process 0 (i.e. the root process). -\begin{figure}[h!] +\begin{listing}[h!] +\ifpdf +\begin{minted}{bash} +========================================================== +Process: 0. PSBLAS Error (4010) in subroutine: df_sample +Error from call to subroutine mat dist +========================================================== +Process: 0. PSBLAS Error (4010) in subroutine: mat_distv +Error from call to subroutine psb_spasb +========================================================== +Process: 0. PSBLAS Error (4010) in subroutine: psb_spasb +Error from call to subroutine psb_cest +========================================================== +Process: 0. PSBLAS Error (136) in subroutine: psb_cest +Format FOO is unknown +========================================================== +Aborting... +\end{minted} +\else \begin{Sbox} \begin{minipage}[tl]{0.95\textwidth} \begin{verbatim} @@ -113,10 +160,11 @@ Aborting... \begin{center} \fbox{\TheSbox} \end{center} - \caption{\label{fig:errormsg}A sample PSBLAS-2.0 error +\fi + \caption{\label{fig:errormsg}A sample PSBLAS-3.0 error message. Process 0 detected an error condition inside the {\textrm psb\_cest} subroutine} -\end{figure} +\end{listing} \clearpage\subsection{psb\_errpush --- Pushes an error code onto the error diff --git a/docs/src/figures/psblaslibrary.png b/docs/src/figures/psblaslibrary.png new file mode 100644 index 00000000..f17c1589 Binary files /dev/null and b/docs/src/figures/psblaslibrary.png differ diff --git a/docs/src/psbrout.tex b/docs/src/psbrout.tex index 37f84ec8..7877f689 100644 --- a/docs/src/psbrout.tex +++ b/docs/src/psbrout.tex @@ -9,16 +9,14 @@ This subroutine is an interface to the computational kernel for dense matrix sum: -\[ y \leftarrow \alpha\> x+ \beta y \] +\[ y \leftarrow \alpha\> x+ \beta y \] %% where: %% \begin{description} %% \item[$x$] represents the global dense submatrix $x_{:, :1}$ %% \item[$y$] represents the global dense submatrix $y_{:, :}$ %% \end{description} -\begin{verbatim} -call psb_geaxpby(alpha, x, beta, y, desc_a, info) -\end{verbatim} +\fortinline| call psb_geaxpby(alpha, x, beta, y, desc_a, info)| %% \syntax*{call psb\_geaxpby}{alpha, x, beta, y, desc\_a, info, n, jx, jy} %( calculating y <- alpha*x+beta*y ) @@ -49,9 +47,9 @@ $x$.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ -containing numbers of type -specified in Table~\ref{tab:f90axpby}. The rank of $x$ must be the same of $y$. +Specified as: a rank one or two array or an object of type \vdata\ +containing numbers of type +specified in Table~\ref{tab:f90axpby}. The rank of $x$ must be the same of $y$. \item[beta] the scalar $\beta$.\\ Scope: {\bf global} \\ Type: {\bf required} \\ @@ -62,8 +60,8 @@ $y$. \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf inout}.\\ -Specified as: a rank one or two array or an object of type \vdata\ containing numbers of the type -indicated in Table~\ref{tab:f90axpby}. The rank of $y$ must be the same of $x$. +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of the type +indicated in Table~\ref{tab:f90axpby}. The rank of $y$ must be the same of $x$. \item[desc\_a] contains data structures for communications.\\ Scope: {\bf local} \\ Type: {\bf required}\\ @@ -72,20 +70,20 @@ Specified as: an object of type \descdata. %% \item[n] number of columns in dense submatrices $x$ and $y$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ and $y$ are of rank 2.\\ -%% Default: \verb|min(size(x,2),size(y,2))|.\\ +%% Default: \fortinline|min(size(x,2),size(y,2))|.\\ %% Specified as: an integer variable $n\ge 0$. %% \item[jx] the column index of the global dense matrix $x$, %% identifying the first column of the submatrix $x$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ and $y$ are of rank 2.\\ %% Default: $jx = 1$.\\ -%% Specified as: an integer variable $jx\ge 1$. +%% Specified as: an integer variable $jx\ge 1$. %% \item[jy] the column index of the global dense matrix $y$, %% identifying the first column of the submatrix $y$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ and $y$ are of rank 2.\\ %% Default: $jy = 1$.\\ -%% Specified as: an integer variable $jy\ge 1$. +%% Specified as: an integer variable $jy\ge 1$. \end{description} @@ -101,7 +99,7 @@ indicated in Table~\ref{tab:f90axpby}. Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -125,9 +123,7 @@ Else if $x$ and $y$ are complex vectors then it computes dot-product as: %% \item[$y$] represents the global vector $y_{:,jy}$ %% \end{description} -\begin{verbatim} -psb_gedot(x, y, desc_a, info [,global]) -\end{verbatim} +\fortinline|psb_gedot(x, y, desc_a, info [,global])| %% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} \begin{table}[h] \begin{center} @@ -137,8 +133,8 @@ $dot$, $x$, $y$ & {\bf Function}\\ \hline Short Precision Real & psb\_gedot \\ Long Precision Real & psb\_gedot \\ -Short Precision Complex & psb\_gedot \\ -Long Precision Complex & psb\_gedot \\ +Short Precision Complex & psb\_gedot \\ +Long Precision Complex & psb\_gedot \\ \hline \end{tabular} \end{center} @@ -155,9 +151,9 @@ $x$.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90dot}. The rank of $x$ must be the same of $y$. +Table~\ref{tab:f90dot}. The rank of $x$ must be the same of $y$. \item[y] the local portion of global dense matrix $y$. \\ %% This function computes the location of the first element of @@ -165,9 +161,9 @@ $y$. \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90dot}. The rank of $y$ must be the same of $x$. +Table~\ref{tab:f90dot}. The rank of $y$ must be the same of $x$. \item[desc\_a] contains data structures for communications.\\ Scope: {\bf local} \\ Type: {\bf required}\\ @@ -179,7 +175,7 @@ Scope: {\bf global} \\ Type: {\bf optional}.\\ Intent: {\bf in}.\\ Specified as: a logical scalar. -Default: \verb|global=.true.|\\ +Default: \fortinline|global=.true.|\\ %% \item[jx] the column index of global dense matrix $x$, %% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ @@ -191,37 +187,46 @@ Default: \verb|global=.true.|\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ and $y$ are of rank 2.\\ %% Default: $jy = 1$.\\ -%% Specified as: an integer variable $jy\ge 1$. -\item[\bf On Return] +%% Specified as: an integer variable $jy\ge 1$. +\item[\bf On Return] \item[Function value] is the dot product of vectors $x$ and $y$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| has been specified\\ +\fortinline|global=.false.| has been specified\\ Specified as: a number of the data type indicated in Table~\ref{tab:f90dot}. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} {\par\noindent\large\bfseries Notes} \begin{enumerate} \item The computation of a global result requires a global communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple dot products at the same + necessary and/or advisable to compute multiple dot products at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: + \ifpdf + \begin{minted}{fortran} + vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) + vres(2) = psb_gedot(x2,y2,desc_a,info,global=.false.) + vres(3) = psb_gedot(x3,y3,desc_a,info,global=.false.) + call psb_sum(ctxt,vres(1:3)) + \end{minted} + \else \begin{lstlisting} vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) vres(2) = psb_gedot(x2,y2,desc_a,info,global=.false.) vres(3) = psb_gedot(x3,y3,desc_a,info,global=.false.) call psb_sum(ctxt,vres(1:3)) \end{lstlisting} + \fi In this way the global communication, which for small sizes is a latency-bound operation, is invoked only once. \end{enumerate} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % F90DOT PRODUCT % @@ -230,16 +235,15 @@ An integer value; 0 means no error has been detected. \clearpage\subsection{psb\_gedots --- Generalized Dot Product} This subroutine computes a series of dot products among the columns of -two dense matrices $x$ and $y$: +two dense matrices $x$ and $y$: \[ res(i) \leftarrow x(:,i)^T y(:,i)\] If the matrices are complex, then the usual convention applies, i.e. the conjugate transpose of $x$ is used. If $x$ and $y$ are of rank one, then $res$ is a scalar, else it -is a rank one array. +is a rank one array. + +\fortinline| call psb_gedots(res, x, y, desc_a, info)| -\begin{verbatim} -call psb_gedots(res, x, y, desc_a, info) -\end{verbatim} \begin{table}[h] \begin{center} \begin{tabular}{ll} @@ -248,8 +252,8 @@ $res$, $x$, $y$ & {\bf Subroutine}\\ \hline Short Precision Real & psb\_gedots \\ Long Precision Real & psb\_gedots \\ -Short Precision Complex & psb\_gedots \\ -Long Precision Complex & psb\_gedots \\ +Short Precision Complex & psb\_gedots \\ +Long Precision Complex & psb\_gedots \\ \hline \end{tabular} \end{center} @@ -264,45 +268,45 @@ $x$. \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90mdot}. The rank of $x$ must be the same of $y$. +Table~\ref{tab:f90mdot}. The rank of $x$ must be the same of $y$. \item[y] the local portion of global dense matrix $y$. \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90mdot}. The rank of $y$ must be the same of $x$. +Table~\ref{tab:f90mdot}. The rank of $y$ must be the same of $x$. \item[desc\_a] contains data structures for communications.\\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -\item[\bf On Return] +\item[\bf On Return] \item[res] is the dot product of vectors $x$ and $y$.\\ Scope: {\bf global} \\ Intent: {\bf out}.\\ Specified as: a number or a rank-one array of the data type indicated -in Table~\ref{tab:f90dot}. +in Table~\ref{tab:f90dot}. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % -% VECTOR INFINITY-NORM +% VECTOR INFINITY-NORM % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \clearpage\subsection{psb\_normi --- Infinity-Norm of Vector} -This function computes +This function computes the infinity-norm of a vector $x$.\\ If $x$ is a real vector it computes infinity norm as: @@ -314,10 +318,8 @@ else if $x$ is a complex vector then it computes the infinity-norm as: %% \item[$x$] represents the global vector $x_{:,jx}$ %% \end{description} -\begin{verbatim} -psb_geamax(x, desc_a, info [,global]) -psb_normi(x, desc_a, info [,global]) -\end{verbatim} +\fortinline|psb_geamax(x, desc_a, info [,global])|\\ +\fortinline|psb_normi(x, desc_a, info [,global])| %% \syntax*{psb\_geamax}{x, desc\_a, info, jx} \begin{table}[h] @@ -342,12 +344,12 @@ Long Precision Real&Long Precision Complex & psb\_geamax \\ \item[\bf On Entry] \item[x] the local portion of global dense matrix $x$. %% This function computes the location of the first element of -%% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . +%% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90amax}. \item[desc\_a] contains data structures for communications.\\ @@ -361,43 +363,52 @@ Scope: {\bf global} \\ Type: {\bf optional}.\\ Intent: {\bf in}.\\ Specified as: a logical scalar. -Default: \verb|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, +Default: \fortinline|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, %% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ -%% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ -%% Default: $jx = 1$\\ -%% Specified as: an integer variable $jx\ge 1$. +%% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ +%% Default: $jx = 1$\\ +%% Specified as: an integer variable $jx\ge 1$. -\item[\bf On Return] +\item[\bf On Return] \item[Function value] is the infinity norm of vector $x$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| has been specified\\ +\fortinline|global=.false.| has been specified\\ Specified as: a long precision real number. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} {\par\noindent\large\bfseries Notes} \begin{enumerate} \item The computation of a global result requires a global communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple norms at the same + necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: + \ifpdf + \begin{minted}{fortran} + vres(1) = psb_geamax(x1,desc_a,info,global=.false.) + vres(2) = psb_geamax(x2,desc_a,info,global=.false.) + vres(3) = psb_geamax(x3,desc_a,info,global=.false.) + call psb_amx(ctxt,vres(1:3)) + \end{minted} + \else \begin{lstlisting} vres(1) = psb_geamax(x1,desc_a,info,global=.false.) vres(2) = psb_geamax(x2,desc_a,info,global=.false.) vres(3) = psb_geamax(x3,desc_a,info,global=.false.) call psb_amx(ctxt,vres(1:3)) \end{lstlisting} + \fi In this way the global communication, which for small sizes is a latency-bound operation, is invoked only once. \end{enumerate} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % Infinity norm % @@ -406,12 +417,10 @@ An integer value; 0 means no error has been detected. \clearpage\subsection{psb\_geamaxs --- Generalized Infinity Norm} This subroutine computes a series of infinity norms on the columns of -a dense matrix $x$: +a dense matrix $x$: \[ res(i) \leftarrow \max_k |x(k,i)| \] -\begin{verbatim} -call psb_geamaxs(res, x, desc_a, info) -\end{verbatim} +\fortinline| call psb_geamaxs(res, x, desc_a, info)| \begin{table}[h] \begin{center} @@ -421,8 +430,8 @@ $res$& $x$& {\bf Subroutine}\\ \hline Short Precision Real &Short Precision Real & psb\_geamaxs\\ Long Precision Real &Long Precision Real & psb\_geamaxs\\ -Short Precision Real &Short Precision Complex & psb\_geamaxs\\ -Long Precision Real &Long Precision Complex & psb\_geamaxs\\ +Short Precision Real &Short Precision Complex & psb\_geamaxs\\ +Long Precision Real &Long Precision Complex & psb\_geamaxs\\ \hline \end{tabular} \end{center} @@ -437,24 +446,24 @@ $x$. \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90mamax}. +Table~\ref{tab:f90mamax}. \item[desc\_a] contains data structures for communications.\\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -\item[\bf On Return] +\item[\bf On Return] \item[res] is the infinity norm of the columns of $x$.\\ Scope: {\bf global} \\ Intent: {\bf out}.\\ -Specified as: a number or a rank-one array of long precision real numbers. +Specified as: a number or a rank-one array of long precision real numbers. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -474,10 +483,8 @@ else if $x$ is a complex vector then it computes 1-norm as: \[ asum \leftarrow \|re(x)\|_1 + \|im(x)\|_1\] -\begin{verbatim} -psb_geasum(x, desc_a, info [,global]) -psb_norm1(x, desc_a, info [,global]) -\end{verbatim} +\fortinline|psb_geasum(x, desc_a, info [,global])| +\fortinline|psb_norm1(x, desc_a, info [,global])| \begin{table}[h] \begin{center} @@ -499,13 +506,13 @@ Long Precision Real&Long Precision Complex & psb\_geasum \\ \item[Type:] Synchronous. \item[\bf On Entry] \item[x] the local portion of global dense matrix -$x$. %% This function computes the location of the first element of -%% local subarray used, based on the field $matrix\_data$ of $desc\_a$ . +$x$. %% This function computes the location of the first element of +%% local subarray used, based on the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90asum}. \item[desc\_a] contains data structures for communications.\\ @@ -519,33 +526,42 @@ Scope: {\bf global} \\ Type: {\bf optional}.\\ Intent: {\bf in}.\\ Specified as: a logical scalar. -Default: \verb|global=.true.|\\ +Default: \fortinline|global=.true.|\\ -\item[\bf On Return] +\item[\bf On Return] \item[Function value] is the 1-norm of vector $x$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| has been specified\\ +\fortinline|global=.false.| has been specified\\ Specified as: a long precision real number. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} {\par\noindent\large\bfseries Notes} \begin{enumerate} \item The computation of a global result requires a global communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple norms at the same + necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: + \ifpdf + \begin{minted}{fortran} + vres(1) = psb_geasum(x1,desc_a,info,global=.false.) + vres(2) = psb_geasum(x2,desc_a,info,global=.false.) + vres(3) = psb_geasum(x3,desc_a,info,global=.false.) + call psb_sum(ctxt,vres(1:3)) + \end{minted} + \else \begin{lstlisting} vres(1) = psb_geasum(x1,desc_a,info,global=.false.) vres(2) = psb_geasum(x2,desc_a,info,global=.false.) vres(3) = psb_geasum(x3,desc_a,info,global=.false.) call psb_sum(ctxt,vres(1:3)) \end{lstlisting} + \fi In this way the global communication, which for small sizes is a latency-bound operation, is invoked only once. \end{enumerate} @@ -554,19 +570,17 @@ An integer value; 0 means no error has been detected. \clearpage\subsection{psb\_geasums --- Generalized 1-Norm of Vector} This subroutine computes a series of 1-norms on the columns of -a dense matrix $x$: +a dense matrix $x$: \[ res(i) \leftarrow \max_k |x(k,i)| \] This function computes the 1-norm of a vector $x$.\\ -If $x$ is a real vector +If $x$ is a real vector it computes 1-norm as: \[ res(i) \leftarrow \|x_i\|\] else if $x$ is a complex vector then it computes 1-norm as: \[ res(i) \leftarrow \|re(x)\|_1 + \|im(x)\|_1\] -\begin{verbatim} -call psb_geasums(res, x, desc_a, info) -\end{verbatim} +\fortinline| call psb_geasums(res, x, desc_a, info)| \begin{table}[h] \begin{center} @@ -588,13 +602,13 @@ Long Precision Real&Long Precision Complex & psb\_geasums \\ \item[Type:] Synchronous. \item[\bf On Entry] \item[x] the local portion of global dense matrix -$x$. %% This function computes the location of the first element of -%% local subarray used, based on the field $matrix\_data$ of $desc\_a$ . +$x$. %% This function computes the location of the first element of +%% local subarray used, based on the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90asums}. \item[desc\_a] contains data structures for communications.\\ @@ -603,7 +617,7 @@ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -\item[\bf On Return] +\item[\bf On Return] \item[res] contains the 1-norm of (the columns of) $x$.\\ Scope: {\bf global} \\ Intent: {\bf out}.\\ @@ -613,13 +627,13 @@ Specified as: a long precision real number. Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % -% 2-NORM OF A VECTOR +% 2-NORM OF A VECTOR % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -653,10 +667,8 @@ Long Precision Real&Long Precision Complex & psb\_genrm2 \\ \caption{Data types\label{tab:f90nrm2}} \end{table} -\begin{verbatim} -psb_genrm2(x, desc_a, info [,global]) -psb_norm2(x, desc_a, info [,global]) -\end{verbatim} +\fortinline|psb_genrm2(x, desc_a, info [,global])|\\ +\fortinline|psb_norm2(x, desc_a, info [,global])|\\ %% \syntax*{psb\_genrm2}{x, desc\_a, info, jx} \begin{description} @@ -664,12 +676,12 @@ psb_norm2(x, desc_a, info [,global]) \item[\bf On Entry] \item[x] the local portion of global dense matrix $x$.%% This function computes the location of the first element of -%% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . +%% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90nrm2}. \item[desc\_a] contains data structures for communications.\\ @@ -683,31 +695,31 @@ Scope: {\bf global} \\ Type: {\bf optional}.\\ Intent: {\bf in}.\\ Specified as: a logical scalar. -Default: \verb|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, +Default: \fortinline|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, %% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ -%% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ -%% Default: $jx = 1$\\ -%% Specified as: an integer variable $jx\ge 1$. +%% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ +%% Default: $jx = 1$\\ +%% Specified as: an integer variable $jx\ge 1$. -\item[\bf On Return] +\item[\bf On Return] \item[Function Value] is the 2-norm of vector $x$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| has been specified\\ +\fortinline|global=.false.| has been specified\\ Type: {\bf required} \\ Specified as: a long precision real number. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} {\par\noindent\large\bfseries Notes} \begin{enumerate} \item The computation of a global result requires a global communication, which entails a significant overhead. It may be - necessary and/or advisable to compute multiple norms at the same + necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: \begin{lstlisting} @@ -725,13 +737,11 @@ An integer value; 0 means no error has been detected. \clearpage\subsection{psb\_genrm2s --- Generalized 2-Norm of Vector} This subroutine computes a series of 2-norms on the columns of -a dense matrix $x$: +a dense matrix $x$: \[ res(i) \leftarrow \|x(:,i)\|_2 \] -\begin{verbatim} -call psb_genrm2s(res, x, desc_a, info) -\end{verbatim} +\fortinline| call psb_genrm2s(res, x, desc_a, info)| \begin{table}[h] \begin{center} @@ -753,13 +763,13 @@ Long Precision Real&Long Precision Complex & psb\_genrm2s \\ \item[Type:] Synchronous. \item[\bf On Entry] \item[x] the local portion of global dense matrix -$x$. %% This function computes the location of the first element of -%% local subarray used, based on the field $matrix\_data$ of $desc\_a$ . +$x$. %% This function computes the location of the first element of +%% local subarray used, based on the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90nrm2s}. \item[desc\_a] contains data structures for communications.\\ @@ -768,7 +778,7 @@ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -\item[\bf On Return] +\item[\bf On Return] \item[res] contains the 1-norm of (the columns of) $x$.\\ Scope: {\bf global} \\ Intent: {\bf out}.\\ @@ -777,14 +787,14 @@ Specified as: a long precision real number. Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % -% 1-NORM OF A MATRIX +% 1-NORM OF A MATRIX % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -824,7 +834,7 @@ psb_norm1(A, desc_a, info) \item[Type:] Synchronous. \item[\bf On Entry] \item[a] the local portion of the global sparse matrix -$A$. \\ +$A$. \\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ @@ -834,7 +844,7 @@ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -\item[\bf On Return] +\item[\bf On Return] \item[Function value] is the 1-norm of sparse submatrix $A$.\\ Scope: {\bf global} \\ Specified as: a long precision real number. @@ -842,13 +852,13 @@ Specified as: a long precision real number. Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % -% INFINITY-NORM OF A MATRIX +% INFINITY-NORM OF A MATRIX % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -888,7 +898,7 @@ psb_normi(A, desc_a, info) \item[Type:] Synchronous. \item[\bf On Entry] \item[a] the local portion of the global sparse matrix -$A$. \\ +$A$. \\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ @@ -898,7 +908,7 @@ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -\item[\bf On Return] +\item[\bf On Return] \item[Function value] is the infinity-norm of sparse submatrix $A$.\\ Scope: {\bf global} \\ Specified as: a long precision real number. @@ -906,7 +916,7 @@ Specified as: a long precision real number. Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} @@ -958,11 +968,8 @@ Long Precision Complex & psb\_spmm \\ \caption{Data types\label{tab:f90spmm}} \end{table} -\begin{verbatim} -call psb_spmm(alpha, a, x, beta, y, desc_a, info) -call psb_spmm(alpha, a, x, beta, y,desc_a, info, & - & trans, work) -\end{verbatim} +\fortinline| call psb_spmm(alpha, a, x, beta, y, desc_a, info)|\\ +\fortinline| call psb_spmm(alpha, a, x, beta, y,desc_a, info, trans, work)| \begin{description} \item[Type:] Synchronous. @@ -972,23 +979,23 @@ Scope: {\bf global} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: a number of the data type indicated in -Table~\ref{tab:f90spmm}. +Table~\ref{tab:f90spmm}. \item[a] the local portion of the sparse matrix -$A$. \\ +$A$. \\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \spdata. \item[x] the local portion of global dense matrix $x$. %% This subroutine computes the location of the first element of -%% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . +%% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90spmm}. The rank of $x$ must be the same of $y$. +Table~\ref{tab:f90spmm}. The rank of $x$ must be the same of $y$. \item[beta] the scalar $\beta$.\\ Scope: {\bf global} \\ Type: {\bf required} \\ @@ -996,14 +1003,14 @@ Intent: {\bf in}.\\ Specified as: a number of the data type indicated in Table~\ref{tab:f90spmm}. \item[y] the local portion of global dense matrix $y$. %% This subroutine computes the location of the first element of -%% local subarray used, based on $jy$ and the field $matrix\_data$ of $desc\_a$ . +%% local subarray used, based on $jy$ and the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf inout}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90spmm}. The rank of $y$ must be the same of $x$. +Table~\ref{tab:f90spmm}. The rank of $y$ must be the same of $x$. \item[desc\_a] contains data structures for communications.\\ Scope: {\bf local} \\ Type: {\bf required}\\ @@ -1018,34 +1025,34 @@ Specified as: an object of type \descdata. \ref{eq:f90spmm_con} \end{description} Scope: {\bf global} \\ -Type: {\bf optional}\\ +Type: {\bf optional}\\ Intent: {\bf in}.\\ -Default: $trans = N$\\ +Default: $trans = N$\\ Specified as: a character variable. %% \item[k] number of columns in dense submatrices $x$ and $y$. \\ %% Scope: {\bf global} \\ -%% Type: {\bf optional}\\ -%% Default: \verb|min(size(x,2)-jx+1,size(y,2)-jy+1)|\\ +%% Type: {\bf optional}\\ +%% Default: \fortinline|min(size(x,2)-jx+1,size(y,2)-jy+1)|\\ %% Specified as: an integer variable $ k \ge 1$. %% \item[jx] the column index of global dense matrix $x$, %% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ -%% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ -%% Default: $iy = 1$\\ -%% Specified as: an integer variable $jx\ge 1$. +%% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ +%% Default: $iy = 1$\\ +%% Specified as: an integer variable $jx\ge 1$. %% \item[jy] the column index of global dense matrix $y$, %% identifying the column of vector $y$.\\ %% Scope: {\bf global} \\ -%% Type: {\bf optional}; can only be present if $y$ is of rank 2.\\ -%% Default: $jy = 1$\\ -%% Specified as: an integer variable $jy\ge 1$. +%% Type: {\bf optional}; can only be present if $y$ is of rank 2.\\ +%% Default: $jy = 1$\\ +%% Specified as: an integer variable $jy\ge 1$. \item[work] work array.\\ Scope: {\bf local} \\ -Type: {\bf optional}\\ +Type: {\bf optional}\\ Intent: {\bf inout}.\\ Specified as: a rank one array of the same type of $x$ and $y$ with -the TARGET attribute. +the TARGET attribute. \item[\bf On Return] \item[y] the local portion of result matrix $y$.\\ @@ -1059,7 +1066,7 @@ Table~\ref{tab:f90spmm}. Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -1094,11 +1101,8 @@ where: \item[$D$] is the scaling diagonal matrix. \end{description} -\begin{verbatim} -call psb_spsm(alpha, t, x, beta, y, desc_a, info) -call psb_spsm(alpha, t, x, beta, y, desc_a, info,& - & trans, unit, choice, diag, work) -\end{verbatim} +\fortinline| call psb_spsm(alpha, t, x, beta, y, desc_a, info)|\\ +\fortinline| call psb_spsm(alpha, t, x, beta, y, desc_a, info, trans, unit, choice, diag, work)|\\ \begin{table}[h] \begin{center} @@ -1128,7 +1132,7 @@ Intent: {\bf in}.\\ Specified as: a number of the data type indicated in Table~\ref{tab:f90spsm}. \item[t] the global portion of the sparse matrix -$T$. \\ +$T$. \\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ @@ -1141,9 +1145,9 @@ $x$. %% This subroutine computes the location of the first element of Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90spsm}. The rank of $x$ must be the same of $y$. +Table~\ref{tab:f90spsm}. The rank of $x$ must be the same of $y$. \item[beta] the scalar $\beta$.\\ Scope: {\bf global} \\ Type: {\bf required} \\ @@ -1156,9 +1160,9 @@ $y$. %% This subroutine computes the location of the first element of Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf inout}.\\ -Specified as: a rank one or two array or an object of type \vdata\ +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of type specified in -Table~\ref{tab:f90spsm}. The rank of $y$ must be the same of $x$. +Table~\ref{tab:f90spsm}. The rank of $y$ must be the same of $x$. \item[desc\_a] contains data structures for communications.\\ Scope: {\bf local} \\ Type: {\bf required}\\ @@ -1171,9 +1175,9 @@ Specified as: an object of type \descdata. \item[trans = 'C'] the operation is with conjugate transposed matrix. \end{description} Scope: {\bf global} \\ -Type: {\bf optional}\\ +Type: {\bf optional}\\ Intent: {\bf in}.\\ -Default: $trans = N$\\ +Default: $trans = N$\\ Specified as: a character variable. \item[unitd] specify with {\em trans} the operation to perform. \begin{description} @@ -1182,41 +1186,41 @@ Specified as: a character variable. \item[unitd = 'R'] the operation is with right scaling. \end{description} Scope: {\bf global} \\ -Type: {\bf optional}\\ +Type: {\bf optional}\\ Intent: {\bf in}.\\ -Default: $unitd = U$\\ +Default: $unitd = U$\\ Specified as: a character variable. \item[choice] specifies the update of overlap elements to be performed on exit: \begin{description} -\item \verb|psb_none_| -\item \verb|psb_sum_| -\item \verb|psb_avg_| -\item \verb|psb_square_root_| +\item \fortinline|psb_none_| +\item \fortinline|psb_sum_| +\item \fortinline|psb_avg_| +\item \fortinline|psb_square_root_| \end{description} Scope: {\bf global} \\ -Type: {\bf optional}\\ +Type: {\bf optional}\\ Intent: {\bf in}.\\ -Default: \verb|psb_avg_|\\ +Default: \fortinline|psb_avg_|\\ Specified as: an integer variable. \item[diag] the diagonal scaling matrix.\\ Scope: {\bf local} \\ -Type: {\bf optional}\\ +Type: {\bf optional}\\ Intent: {\bf in}.\\ -Default: $diag(1) = 1 (no scaling)$\\ +Default: $diag(1) = 1 (no scaling)$\\ Specified as: a rank one array containing numbers of the type indicated in Table~\ref{tab:f90spsm}. \item[work] a work array. \\ Scope: {\bf local} \\ -Type: {\bf optional}\\ +Type: {\bf optional}\\ Intent: {\bf inout}.\\ Specified as: a rank one array of the same type of $x$ with the -TARGET attribute. +TARGET attribute. -\item[\bf On Return] +\item[\bf On Return] \item[y] the local portion of global dense matrix $y$. %% This subroutine computes the location of the first element of -%% local subarray used, based on $jy$ and the field $matrix\_data$ of $desc\_a$ . +%% local subarray used, based on $jy$ and the field $matrix\_data$ of $desc\_a$ . \\ Scope: {\bf local} \\ Type: {\bf required} \\ @@ -1228,12 +1232,12 @@ Table~\ref{tab:f90spsm}. Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ -An integer value; 0 means no error has been detected. +An integer value; 0 means no error has been detected. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % -% VECTOR VECTOR OPERATIONS +% VECTOR VECTOR OPERATIONS % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -1244,9 +1248,8 @@ This function computes the entrywise product between two vectors $x$ and $y$ \[dot \leftarrow x(i) y(i).\] -\begin{verbatim} -psb_gemlt(x, y, desc_a, info) -\end{verbatim} +\fortinline|psb_gemlt(x, y, desc_a, info)| + %% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} \begin{table}[h] \begin{center} @@ -1256,8 +1259,8 @@ psb_gemlt(x, y, desc_a, info) \hline Short Precision Real & psb\_gemlt \\ Long Precision Real & psb\_gemlt \\ - Short Precision Complex & psb\_gemlt \\ - Long Precision Complex & psb\_gemlt \\ + Short Precision Complex & psb\_gemlt \\ + Long Precision Complex & psb\_gemlt \\ \hline \end{tabular} \end{center} @@ -1274,7 +1277,7 @@ psb_gemlt(x, y, desc_a, info) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ - Specified as: an object of type \vdata\ + Specified as: an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90dot}. \item[y] the local portion of global dense vector @@ -1284,7 +1287,7 @@ psb_gemlt(x, y, desc_a, info) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ - Specified as: an object of type \vdata\ + Specified as: an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90dot}. \item[desc\_a] contains data structures for communications.\\ @@ -1292,7 +1295,7 @@ psb_gemlt(x, y, desc_a, info) Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. - \item[\bf On Return] + \item[\bf On Return] \item[y] the local portion of result submatrix $y$.\\ Scope: {\bf local} \\ Type: {\bf required} \\ @@ -1303,7 +1306,7 @@ psb_gemlt(x, y, desc_a, info) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ - An integer value; 0 means no error has been detected. + An integer value; 0 means no error has been detected. \end{description} \clearpage\subsection{psb\_gediv --- Entrywise Division} @@ -1312,9 +1315,8 @@ This function computes the entrywise division between two vectors $x$ and $y$ \[/ \leftarrow x(i)/y(i).\] -\begin{verbatim} -psb_gediv(x, y, desc_a, info, [flag) -\end{verbatim} +\fortinline|psb_gediv(x, y, desc_a, info, [flag)| + %% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} \begin{table}[h] \begin{center} @@ -1324,8 +1326,8 @@ psb_gediv(x, y, desc_a, info, [flag) \hline Short Precision Real & psb\_gediv \\ Long Precision Real & psb\_gediv \\ - Short Precision Complex & psb\_gediv \\ - Long Precision Complex & psb\_gediv \\ + Short Precision Complex & psb\_gediv \\ + Long Precision Complex & psb\_gediv \\ \hline \end{tabular} \end{center} @@ -1342,7 +1344,7 @@ psb_gediv(x, y, desc_a, info, [flag) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ - Specified as: an object of type \vdata\ + Specified as: an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90dot}. \item[y] the local portion of global dense vector @@ -1352,7 +1354,7 @@ psb_gediv(x, y, desc_a, info, [flag) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ - Specified as: an object of type \vdata\ + Specified as: an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90dot}. \item[desc\_a] contains data structures for communications.\\ @@ -1364,8 +1366,8 @@ psb_gediv(x, y, desc_a, info, [flag) Scope: {\bf local} \\ Type: {\bf optional} Intent: {\bf in}.\\ - Specified as: the logical value \verb|flag=.true.| - \item[\bf On Return] + Specified as: the logical value \fortinline|flag=.true.| + \item[\bf On Return] \item[x] the local portion of result submatrix $x$.\\ Scope: {\bf local} \\ Type: {\bf required} \\ @@ -1376,7 +1378,7 @@ psb_gediv(x, y, desc_a, info, [flag) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ - An integer value; 0 means no error has been detected. + An integer value; 0 means no error has been detected. \end{description} \clearpage\subsection{psb\_geinv --- Entrywise Inversion} @@ -1385,9 +1387,8 @@ This function computes the entrywise inverse of a vector $x$ and puts it into $y$ \[/ \leftarrow 1/x(i).\] -\begin{verbatim} -psb_geinv(x, y, desc_a, info, [flag) -\end{verbatim} +\fortinline|psb_geinv(x, y, desc_a, info, [flag)| + %% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} \begin{table}[h] \begin{center} @@ -1397,8 +1398,8 @@ psb_geinv(x, y, desc_a, info, [flag) \hline Short Precision Real & psb\_geinv \\ Long Precision Real & psb\_geinv \\ - Short Precision Complex & psb\_geinv \\ - Long Precision Complex & psb\_geinv \\ + Short Precision Complex & psb\_geinv \\ + Long Precision Complex & psb\_geinv \\ \hline \end{tabular} \end{center} @@ -1415,7 +1416,7 @@ psb_geinv(x, y, desc_a, info, [flag) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf in}.\\ - Specified as: an object of type \vdata\ + Specified as: an object of type \vdata\ containing numbers of type specified in Table~\ref{tab:f90dot}. \item[desc\_a] contains data structures for communications.\\ @@ -1427,8 +1428,8 @@ psb_geinv(x, y, desc_a, info, [flag) Scope: {\bf local} \\ Type: {\bf optional} Intent: {\bf in}.\\ - Specified as: the logical value \verb|flag=.true.| - \item[\bf On Return] + Specified as: the logical value \fortinline|flag=.true.| + \item[\bf On Return] \item[y] the local portion of result submatrix $x$.\\ Scope: {\bf local} \\ Type: {\bf required} \\ @@ -1439,10 +1440,10 @@ psb_geinv(x, y, desc_a, info, [flag) Scope: {\bf local} \\ Type: {\bf required} \\ Intent: {\bf out}.\\ - An integer value; 0 means no error has been detected. + An integer value; 0 means no error has been detected. \end{description} -%%% Local Variables: +%%% Local Variables: %%% mode: latex %%% TeX-master: "userguide" -%%% End: +%%% End: diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex index c98f7d75..e0b82de6 100644 --- a/docs/src/userguide.tex +++ b/docs/src/userguide.tex @@ -17,6 +17,17 @@ \newtheorem{theorem}{Theorem} \newtheorem{corollary}{Corollary} \usepackage{listings} +\usepackage{minted} +\usemintedstyle{friendly} +\definecolor{bg}{rgb}{0.95,0.95,0.95} +\usepackage{breakurl} +\usepackage{mathpazo} +\usepackage[english]{babel} +\ifpdf +\newmintinline[fortinline]{fortran}{} +\else% +\def\fortinline{\lstinline[basicstyle=\ttfamily,language=fortran]} +\fi %\newboolean{mtc} %\setboolean{mtc}{true} @@ -87,7 +98,7 @@ \newcommand{\vbasedata}{\hypertarget{vbasedata}{{\tt psb\_T\_base\_vect\_type}}} \begin{document} - +{ \pdfbookmark{PSBLAS-v3.7.0 User's Guide}{title} \lstset{language=Fortran} \newlength{\centeroffset} @@ -104,6 +115,15 @@ \hfill\emph{\Large A reference guide for the Parallel Sparse BLAS library} \end{minipage}} +\vspace{\stretch{1}} +\flushleft +\begin{figure*}[htb] + \begin{center} + \includegraphics[width=0.6\textwidth]{psblaslibrary.png} + \end{center} +\end{figure*} + + \vspace{\stretch{1}} \noindent\hspace*{\centeroffset}\makebox[0pt][l]{\begin{minipage}{\textwidth} \flushright @@ -112,7 +132,7 @@ by Salvatore Filippone\\ and Alfredo Buttari}\\ Jan 7th, 2020 \end{minipage}} - +} %\addtolength{\textwidth}{\centeroffset} \vspace{\stretch{2}} \setcounter{tocdepth}{4} diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex index 77f52d6f..786af9a8 100644 --- a/docs/src/userhtml.tex +++ b/docs/src/userhtml.tex @@ -2,6 +2,7 @@ \usepackage{pstricks} \usepackage{fancybox} \usepackage{amsfonts} +\usepackage{ifpdf} % \usepackage{minitoc} % \setcounter{minitocdepth}{2} \usepackage[bookmarks=true, @@ -10,11 +11,24 @@ plainpages=false, colorlinks, linkcolor=blue]{hyperref} +\usepackage{html} \usepackage{ifthen} \usepackage{graphicx} \newtheorem{theorem}{Theorem} \newtheorem{corollary}{Corollary} \usepackage{listings} +\usepackage{microtype} +\ifpdf +\newmintinline[fortinline]{fortran}{} +\else% +\usepackage{listings} +\def\fortinline{\lstinline[basicstyle=\ttfamily,language=fortran]} +\usepackage{float} +\newfloat{listing}{htbp}{lop} +\floatname{listing}{Listing} +\def\lstfloatautorefname{Listing} % needed for hyperref/auroref + +\fi %\newboolean{mtc} %\setboolean{mtc}{true}