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zW59TR!uc8jSR_C$=eZYoJbwi=E=I81vy0{bUSpT%{V(A?mqlCdkCSPUgYD{kM&T<9SLgtps10#<+f>D@p4-9h7|%I7M6)*%?vM~0^bS>7>YkuGxkCVcEoN9_D3^aGqLN2l8Y zvIY)&&+sU(XLO^Zlks;1I|ZRW;I)*E;YVKSWMvL+6)o3=ohJFkt}fA&j_UQ^6S@M0 zSn3BWQ-u|vz}xOvY+8zN_XCH-^<_kHvoO~z?i0Gu(P`(O2Z~4k1`#_CTP+vme;_u# zN^9>@RP^HD7$(gv-2Ko}$^&W*douh<-+LG6MMwVwdpr(9^I*H{00000NkvXXu0mjf DuZ3Nd diff --git a/docs/html/userhtmlli1.html b/docs/html/userhtmlli1.html index 96d6150d..2fdc700c 100644 --- a/docs/html/userhtmlli1.html +++ b/docs/html/userhtmlli1.html @@ -54,9 +54,9 @@ href="userhtmlse3.html#x8-180003.1.8" id="QQ2-8-21">Clone — clone current
   3.1.9 CNV — convert internal storage format
   3.1.10 psb_cd_get_large_threshold — Get threshold for index mapping switch +href="userhtmlse3.html#x8-200003.1.10" id="QQ2-8-23">psb_cd_get_hash_threshold — Get threshold for index mapping switch
   3.1.11 psb_cd_set_large_threshold — Set threshold for index mapping switch +href="userhtmlse3.html#x8-210003.1.11" id="QQ2-8-24">psb_cd_set_hash_threshold — Set threshold for index mapping switch
   3.1.12 get_p_adjcncy — Get process adjacency list
   3.1.13 _type. and other accelerators.

3.1.10 psb_cd_get_large_threshold — Get threshold for index mapping + id="x8-200003.1.10">psb_cd_get_hash_threshold — Get threshold for index mapping switch
-ith = psb_cd_get_large_threshold()
+ith = psb_cd_get_hash_threshold()

@@ -780,13 +780,13 @@ class="description">

3.1.11 psb_cd_set_large_threshold — Set threshold for index mapping + id="x8-210003.1.11">psb_cd_set_hash_threshold — Set threshold for index mapping switch
-call psb_cd_set_large_threshold(ith)
+call psb_cd_set_hash_threshold(ith)

@@ -815,11 +815,15 @@ class="pplb7t-">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 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. -

+

This threshold guides the library into using a list based or a hash-table based descriptor +for global to local index conversion; if the size of the global index space is +below this threshold, a list based structure is used, if it is above a hash-table +based structure is used. 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
@@ -828,29 +832,29 @@ same value on all processes. 
 list =  desc%get_p_adjcncy()
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Return

-

+

-

+

Function value

-

The current list of adjacent processes, i.e. processes with which the +

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
@@ -859,26 +863,26 @@ class="description"> 
 call desc%set_p_adjcncy(list)
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

list

-

the list of adjacent processes.

the list of adjacent processes.
Scope: local.
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. +

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. -

+

3.1.14 fnd_owner — Find the owner process of a set of indices
@@ -899,26 +903,26 @@ the execution of the assembly call call desc%fnd_owner(idx,iprc,info) -

-

+

+

-

+

Type:

-

Synchronous. +

Synchronous.

-

+

On Entry

-

+

-

+

idx

-

the list of global indices for which we need the owning processes.

the list of global indices for which we need the owning processes.
Scope: local.
Type: Intent: in.
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: 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 +

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
-

+

-

+

psb_none_

-

Generic no-op; +

Generic no-op;

-

+

psb_root_

-

Default root process for broadcast and scatter operations; +

Default root process for broadcast and scatter operations;

-

+

psb_nohalo_

-

Do not fetch halo elements; +

Do not fetch halo elements;

-

+

psb_halo_

-

Fetch halo elements from neighbouring processes; +

Fetch halo elements from neighbouring processes;

-

+

psb_sum_

-

Sum overlapped elements +

Sum overlapped elements

-

+

psb_avg_

-

Average overlapped elements +

Average overlapped elements

-

+

psb_comm_halo_

-

Exchange data based on the halo_index list; +

Exchange data based on the halo_index list;

-

+

psb_comm_ext_

-

Exchange data based on the ext_index list; +

Exchange data based on the ext_index list;

-

+

psb_comm_ovr_

-

Exchange data based on the ovrlap_index list; +

Exchange data based on the ovrlap_index list;

-

+

psb_comm_mov_

-

Exchange data based on the ovr_mst_idx list; +

Exchange data based on the ovr_mst_idx list;

-

+

3.2 Sparse Matrix class

-

The

The psb_Tspmat11]; the type declaration is shown href="#x8-26001r2">2 where T is a placeholder for the data type and precision variants

-

+

S

-

Single precision real; +

Single precision real;

-

+

D

-

Double precision real; +

Double precision real;

-

+

C

-

Single precision complex; +

Single precision complex;

-

+

Z

-

Double precision complex; +

Double precision complex;

-

+

LS,LD,LC,LZ

-

Same numeric type as above, but with psb_lpk_ integer indices.

-

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

Same numeric type as above, but with psb_lpk_ integer indices. +

The actual data is contained in the polymorphic component a%a of type psb_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. -

@@ -1107,13 +1111,13 @@ to the library at runtime via the -

+

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

+


Listing 2: The PSBLAS defined data type that contains a sparse matrix.
@@ -1121,10 +1125,10 @@ class="content"> The PSBLAS defined data type that contains a sparse matrix.
-

The following very common formats are precompiled in PSBLAS and thus are +

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

-

+

psb_T_coo_sparse_mat

-

Coordinate storage; +

Coordinate storage;

-

+

psb_T_csr_sparse_mat

-

Compressed storage by rows; +

Compressed storage by rows;

-

+

psb_T_csc_sparse_mat

-

Compressed storage by columns;

-

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

Compressed storage by columns; +

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

-

+

Build:

-

State entered after the first allocation, and before the first assembly; in +

State entered after the first allocation, and before the first assembly; in this state it is possible to add nonzero entries.

-

+

Assembled:

-

State entered after the assembly; computations using the sparse matrix, +

State entered after the assembly; computations using the sparse matrix, such as matrix-vector products, are only possible in this state;

-

+

Update:

-

State entered after a reinitalization; this is used to handle applications +

State entered after a reinitalization; this is used to handle applications 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
@@ -1191,43 +1195,43 @@ obtained by conversion to/from it. 
 nr = a%get_nrows()
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

the sparse matrix
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

The number of rows of sparse matrix a.

-

+

The number of rows of sparse matrix a. +

3.2.3 get_ncols — Get number of columns in a sparse matrix
@@ -1236,43 +1240,43 @@ class="description"> 
 nc = a%get_ncols()
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

the sparse matrix
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

The number of columns of sparse matrix a.

-

+

The number of columns of sparse matrix a. +

3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix
@@ -1281,51 +1285,51 @@ class="description"> 
 nz = a%get_nnzeros()
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

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 +

    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
@@ -1335,44 +1339,44 @@ matrix 
 maxnz = a%get_size()
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

the sparse matrix
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

The maximum number of nonzero elements that can be stored in sparse +

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

-

+

3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix
@@ -1381,131 +1385,131 @@ class="description"> 
 memory_size = a%sizeof()
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

the sparse matrix
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

The memory occupation in bytes.

-

+

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:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

the sparse matrix
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

A short string describing the dynamic type of the matrix. Predefined +

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
-

if (a%is_bld()) then

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

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

the sparse matrix
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

A logical value indicating whether the matrix is in the Build, Update or +

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
@@ -1517,45 +1521,45 @@ if (a%is_upper()) then if (a%is_lower()) then if (a%is_unit()) then -

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix

the sparse matrix
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

A logical value indicating whether the matrix is triangular; if +

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
@@ -1565,77 +1569,77 @@ class="description"> call  a%cscnv(b,info [, type, mold, dupl]) call  a%cscnv(info [, type, mold, dupl]) -

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

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

-

+

type

-

a string requesting a new format.

a string requesting a new format.
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 +

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 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 +

Return code. +

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
@@ -1645,231 +1649,231 @@ and other accelerators.     call a%csclip(b,info[,&        & imin,imax,jmin,jmax,rscale,cscale]) -

-

Returns the submatrix A(imin:imax,jmin:jmax), optionally rescaling row/col +

+

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:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

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

-

+

imin,imax,jmin,jmax

-

Minimum and maximum row and column indices.

Minimum and maximum row and column indices.
Type: optional.

-

+

rscale,cscale

-

Whether to rescale row/column indices. Type: optional.

-

+

Whether to rescale row/column indices. Type: optional. +

-

+

On Return

-

+

-

+

b

-

A copy of a submatrix of a.

A copy of a submatrix of a.
A variable of type psb_Tspmat_type.

-

+

info

-

Return code.

-

+

Return code. +

3.2.12 clean_zeros — Eliminate zero coefficients
-

call a%clean_zeros(info) -

Eliminates zero coefficients explicitly stored in the input matrix. -

+

call a%clean_zeros(info) +

Eliminates zero coefficients explicitly stored in the input matrix. +

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

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

-

+

-

+

On Return

-

+

-

+

a

-

The matrix a without zero coefficients.

The matrix a without zero coefficients.
A variable of type psb_Tspmat_type.

-

+

info

-

Return code.

-

Return code. +

Notes

  1. -

    Depending on the internal storage format, there may still be some +

    Depending on the internal storage format, there may still be some amount of zero padding in the output.

  2. -

    Any explicit zeros on the main diagonal are always kept in the data +

    Any explicit zeros on the main diagonal are always kept in the data structure.

-

+

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:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

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

-

+

-

+

On Return

-

+

-

+

d

-

A copy of the main diagonal.

A copy of the main diagonal.
A one-dimensional array of the appropriate type.

-

+

info

-

Return code.

-

+

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. +

call a%clip_diag(b,info) +

Returns a copy of a without the main diagonal.

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

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

-

+

-

+

On Return

-

+

-

+

b

-

A copy of a without the main diagonal.

A copy of a without the main diagonal.
A variable of type psb_Tspmat_type.

-

+

info

-

Return code.

-

+

Return code. +

3.2.15 tril — Return the lower triangle
@@ -1879,83 +1883,83 @@ class="description">     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), +

+

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.

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

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

-

+

diag

-

Include diagonals up to this one; diag=1 means the first superdiagonal, +

Include diagonals up to this one; diag=1 means the first superdiagonal, diag=-1 means the first subdiagonal. Default 0.

-

+

imin,imax,jmin,jmax

-

Minimum and maximum row and column indices.

Minimum and maximum row and column indices.
Type: optional.

-

+

rscale,cscale

-

Whether to rescale row/column indices. Type: optional.

-

+

Whether to rescale row/column indices. Type: optional. +

-

+

On Return

-

+

-

+

l

-

A copy of the lower triangle of a.

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.

(optional) A copy of the upper triangle of a.
A variable of type psb_Tspmat_type.

-

+

info

-

Return code.

-

+

Return code. +

3.2.16 triu — Return the upper triangle
@@ -1965,221 +1969,221 @@ class="description">     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), +

+

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.

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

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

-

+

diag

-

Include diagonals up to this one; diag=1 means the first superdiagonal, +

Include diagonals up to this one; diag=1 means the first superdiagonal, diag=-1 means the first subdiagonal. Default 0.

-

+

imin,imax,jmin,jmax

-

Minimum and maximum row and column indices.

Minimum and maximum row and column indices.
Type: optional.

-

+

rscale,cscale

-

Whether to rescale row/column indices. Type: optional.

-

+

Whether to rescale row/column indices. Type: optional. +

-

+

On Return

-

+

-

+

u

-

A copy of the upper triangle of a.

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.

(optional) A copy of the lower triangle of a.
A variable of type psb_Tspmat_type.

-

+

info

-

Return code.

-

+

Return code. +

3.2.17 psb_set_mat_default — Set default storage format
-

call psb_set_mat_default(a) -

+

call psb_set_mat_default(a) +

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

a variable of class(psb_T_base_sparse_mat) requesting a new default +

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:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

a

-

the sparse matrix.

the sparse matrix.
Scope: local.

-

+

-

+

On Return

-

+

-

+

b

-

A copy of the input object. +

A copy of the input object.

-

+

info

-

Return code.

-

+

Return code. +

3.2.19 Named Constants
-

+

-

+

psb_dupl_ovwrt_

-

Duplicate coefficients should be overwritten (i.e. ignore duplications) +

Duplicate coefficients should be overwritten (i.e. ignore duplications)

-

+

psb_dupl_add_

-

Duplicate coefficients should be added; +

Duplicate coefficients should be added;

-

+

psb_dupl_err_

-

Duplicate coefficients should trigger an error conditino +

Duplicate coefficients should trigger an error conditino

-

+

psb_upd_dflt_

-

Default update strategy for matrix coefficients; +

Default update strategy for matrix coefficients;

-

+

psb_upd_srch_

-

Update strategy based on search into the data structure; +

Update strategy based on search into the data structure;

-

+

psb_upd_perm_

-

Update strategy based on additional permutation data (see tools routine +

Update strategy based on additional permutation data (see tools routine description).

-

+

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 

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

-

+

I

-

Integer; +

Integer;

-

+

S

-

Single precision real; +

Single precision real;

-

+

D

-

Double precision real; +

Double precision real;

-

+

C

-

Single precision complex; +

Single precision complex;

-

+

Z

-

Double precision complex.

-

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

Double precision complex. +

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. -

@@ -2246,7 +2250,7 @@ memory.
-

+

   type psb_T_base_vect_type
     TYPE(KIND_), allocatable :: v(:)
@@ -2257,7 +2261,7 @@ memory.
   end type  psb_T_vect_type
-

+


Listing 3: The PSBLAS defined data type that contains a dense vector.
@@ -2267,88 +2271,88 @@ class="content"> 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:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

v

-

the dense vector

the dense vector
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

The number of rows of dense vector v.

-

+

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:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

v

-

the dense vector

the dense vector
Scope: local

-

+

-

+

On Return

-

+

-

+

Function value

-

The memory occupation in bytes.

-

+

The memory occupation in bytes. +

3.3.4 set — Set contents of the vector
@@ -2359,35 +2363,35 @@ class="description">  call  v%set(vect[,first,last])  call  v%zero() -

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

v

-

the dense vector

the dense vector
Scope: local

-

+

alpha

-

A scalar value.

A scalar value.
Scope: local
Type: in.
Specified as: a number of the data type indicated in Table 1.

-

+

first,last

-

Boundaries for setting in the vector.

Boundaries for setting in the vector.
Scope: local
Type: Intent: in.
Specified as: integers.

-

+

vect

-

An array

An array
Scope: local
Type: 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 +

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

-

+

-

+

v

-

the dense vector, with updated entries

the dense vector, with updated entries
Scope: local

-

+

3.3.5 get_vect — Get a copy of the vector contents
@@ -2454,54 +2458,54 @@ class="newline" /> 
 extv = v%get_vect([n])
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

v

-

the dense vector

the dense vector
Scope: local

-

+

n

-

Size to be returned

Size to be returned
Scope: local.
Type: optional; default: entire vector.

-

+

-

+

On Return

-

+

-

+

Function value

-

An allocatable array holding a copy of the dense vector contents. If +

An allocatable array holding a copy of the dense vector contents. If the argument n is specified, the size of the returned array equals the minimum between n is -

+

3.3.6 clone — Clone current object
@@ -2521,57 +2525,57 @@ class="zplmr7m-">n is 
 call  x%clone(y,info)
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

+

-

+

x

-

the dense vector.

the dense vector.
Scope: local.

-

+

-

+

On Return

-

+

-

+

y

-

A copy of the input object. +

A copy of the input object.

-

+

info

-

Return code.

+

Return code.

-

+

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_Tprec

@@ -2592,7 +2596,7 @@ preconditioner.
-

+

 
   type psb_Tprec_type
@@ -2600,7 +2604,7 @@ preconditioner.
   end type psb_Tprec_type
-

+


Listing 4: The PSBLAS defined data type that contains a preconditioner.
@@ -2610,70 +2614,70 @@ class="content">The PSBLAS defined data type that contains a preconditioner.

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:

-

+

psb_T_heap

-

: a heap containing elements of type T, where T can be i,s,c,d,z for +

: a heap containing elements of type T, where T can be i,s,c,d,z for integer, real and complex data;

-

+

psb_T_idx_heap

-

: a heap containing elements of type T, as above, together with an integer +

: 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

-

Initialize memory; also choose ascending or descending order; +

Initialize memory; also choose ascending or descending order;

-

+

howmany

-

Current heap occupancy; +

Current heap occupancy;

-

+

insert

-

Add an item (or an item and its index); +

Add an item (or an item and its index);

-

+

get_first

-

Remove and return the first element; +

Remove and return the first element;

-

+

dump

-

Print on file; +

Print on file;

-

+

free

-

Release memory.

-

These objects are used to implement the factorization and approximate inversion +

Release memory. +

These objects are used to implement the factorization and approximate inversion algorithms. diff --git a/docs/psblas-3.9.pdf b/docs/psblas-3.9.pdf index b9951e59..f6e82066 100644 --- a/docs/psblas-3.9.pdf +++ b/docs/psblas-3.9.pdf @@ -5,19 +5,19 @@ /Type /ObjStm /N 100 /First 865 -/Length 16060 +/Length 16050 >> stream 1 0 5 38 6 195 9 235 10 329 13 370 14 488 17 534 18 672 21 718 22 846 25 892 26 1045 29 1096 30 1292 33 1338 34 1471 37 1512 38 1691 41 1737 42 1913 45 1964 46 2112 49 2163 50 2450 53 2501 54 2788 57 2839 58 3136 61 3187 62 3484 65 3535 66 3862 69 3913 70 4181 73 4232 74 4442 77 4493 78 4751 81 4803 -82 5234 85 5286 86 5717 89 5769 90 6063 93 6115 94 6409 97 6461 98 6827 101 6879 -102 7018 105 7065 106 7212 109 7264 110 7431 113 7483 114 7817 117 7869 118 8218 121 8270 -122 8677 125 8729 126 9164 129 9216 130 9595 133 9647 134 9965 137 10017 138 10285 141 10337 -142 10701 145 10754 146 11064 149 11117 150 11346 153 11399 154 11683 157 11736 158 11955 161 12008 -162 12255 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431.241 Td [(root)]TJ ET q -1 0 0 1 189.758 492.957 cm +1 0 0 1 189.758 431.44 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F84 9.9626 Tf 197.728 492.758 Td [(Default)-250(r)18(oot)-250(pr)18(ocess)-250(for)-250(br)18(oadcast)-250(and)-250(scatter)-250(operations;)]TJ +/F84 9.9626 Tf 197.728 431.241 Td [(Default)-250(r)18(oot)-250(pr)18(ocess)-250(for)-250(br)18(oadcast)-250(and)-250(scatter)-250(operations;)]TJ 0 g 0 G -/F75 9.9626 Tf -47.023 -21.934 Td [(psb)]TJ +/F75 9.9626 Tf -47.023 -20.54 Td [(psb)]TJ ET q -1 0 0 1 167.9 471.023 cm +1 0 0 1 167.9 410.9 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 170.889 470.824 Td [(nohalo)]TJ +/F75 9.9626 Tf 170.889 410.701 Td [(nohalo)]TJ ET q -1 0 0 1 203.038 471.023 cm +1 0 0 1 203.038 410.9 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F84 9.9626 Tf 211.008 470.824 Td [(Do)-250(not)-250(fetch)-250(halo)-250(elements;)]TJ +/F84 9.9626 Tf 211.008 410.701 Td [(Do)-250(not)-250(fetch)-250(halo)-250(elements;)]TJ 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361.354 cm +1 0 0 1 199.163 308.203 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 202.152 361.154 Td [(ext)]TJ +/F75 9.9626 Tf 202.152 308.003 Td [(ext)]TJ ET q -1 0 0 1 216.029 361.354 cm +1 0 0 1 216.029 308.203 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F84 9.9626 Tf 224 361.154 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F131 9.9626 Tf 124.92 0 Td [(ext_index)]TJ/F84 9.9626 Tf 49.564 0 Td [(list;)]TJ +/F84 9.9626 Tf 224 308.003 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F131 9.9626 Tf 124.92 0 Td [(ext_index)]TJ/F84 9.9626 Tf 49.564 0 Td [(list;)]TJ 0 g 0 G -/F75 9.9626 Tf -247.779 -21.934 Td [(psb)]TJ +/F75 9.9626 Tf -247.779 -20.539 Td [(psb)]TJ ET q -1 0 0 1 167.9 339.42 cm +1 0 0 1 167.9 287.663 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 170.889 339.22 Td [(comm)]TJ +/F75 9.9626 Tf 170.889 287.464 Td [(comm)]TJ ET q -1 0 0 1 199.163 339.42 cm +1 0 0 1 199.163 287.663 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT 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266.924 Td [(mov)]TJ ET q -1 0 0 1 222.684 317.486 cm +1 0 0 1 222.684 267.124 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q 0 g 0 G BT -/F84 9.9626 Tf 230.654 317.286 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F131 9.9626 Tf 124.921 0 Td [(ovr_mst_idx)]TJ/F84 9.9626 Tf 60.024 0 Td [(list;)]TJ/F75 11.9552 Tf -264.894 -31.99 Td [(3.2)-1000(Sparse)-250(Matrix)-250(class)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.396 265.359 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 169.907 265.359 Tm [(psb)]TJ +/F84 9.9626 Tf 230.654 266.924 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F131 9.9626 Tf 124.921 0 Td [(ovr_mst_idx)]TJ/F84 9.9626 Tf 60.024 0 Td [(list;)]TJ/F75 11.9552 Tf -264.894 -30.006 Td [(3.2)-1000(Sparse)-250(Matrix)-250(class)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.396 217.656 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 169.907 217.656 Tm [(psb)]TJ ET q -1 0 0 1 186.225 265.558 cm +1 0 0 1 186.225 217.855 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F131 9.9626 Tf 189.363 265.359 Td [(Tspmat)]TJ +/F131 9.9626 Tf 189.363 217.656 Td [(Tspmat)]TJ ET q -1 0 0 1 221.373 265.558 cm +1 0 0 1 221.373 217.855 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F131 9.9626 Tf 224.511 265.359 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 247.932 265.359 Tm [(class)-246(contains)-246(all)-246(information)-246(about)-246(the)-246(local)-246(portion)-246(of)]TJ 0.98 0 0 1 150.705 253.404 Tm [(the)-252(sparse)-253(matrix)-252(and)-252(its)-252(storage)-253(mode.)-315(Its)-252(design)-253(is)-252(based)-252(on)-253(the)-252(ST)76(A)75(TE)-252(design)]TJ 0.98 0 0 1 150.406 241.449 Tm [(pattern)-251([)]TJ +/F131 9.9626 Tf 224.511 217.656 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 247.932 217.656 Tm [(class)-246(contains)-246(all)-246(information)-246(about)-246(the)-246(local)-246(portion)-246(of)]TJ 0.98 0 0 1 150.705 205.701 Tm [(the)-252(sparse)-253(matrix)-252(and)-252(its)-252(storage)-253(mode.)-315(Its)-252(design)-253(is)-252(based)-252(on)-253(the)-252(ST)76(A)75(TE)-252(design)]TJ 0.98 0 0 1 150.406 193.746 Tm [(pattern)-251([)]TJ 1 0 0 rg 1 0 0 RG - 1 0 0 1 187.44 241.449 Tm [(13)]TJ + 1 0 0 1 187.44 193.746 Tm [(13)]TJ 0 g 0 G - 0.98 0 0 1 197.402 241.449 Tm [(])-251(as)-251(detailed)-252(in)-251([)]TJ + 0.98 0 0 1 197.402 193.746 Tm [(])-251(as)-251(detailed)-252(in)-251([)]TJ 1 0 0 rg 1 0 0 RG - 1 0 0 1 266.289 241.449 Tm [(11)]TJ + 1 0 0 1 266.289 193.746 Tm [(11)]TJ 0 g 0 G - 0.98 0 0 1 276.252 241.449 Tm [(];)-252(the)-252(type)-251(declaration)-251(is)-251(shown)-251(in)-251(\002gur)18(e)]TJ + 0.98 0 0 1 276.252 193.746 Tm [(];)-252(the)-252(type)-251(declaration)-251(is)-251(shown)-251(in)-251(\002gur)18(e)]TJ 0 0 1 rg 0 0 1 RG [-251(2)]TJ 0 g 0 G - [-251(wher)18(e)]TJ/F131 9.9626 Tf 1 0 0 1 489.447 241.449 Tm [(T)]TJ/F84 9.9626 Tf -338.742 -11.956 Td [(is)-250(a)-250(placeholder)-250(for)-250(the)-250(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ + [-251(wher)18(e)]TJ/F131 9.9626 Tf 1 0 0 1 489.447 193.746 Tm [(T)]TJ/F84 9.9626 Tf -338.742 -11.955 Td [(is)-250(a)-250(placeholder)-250(for)-250(the)-250(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ 0 g 0 G -/F75 9.9626 Tf 0 -21.431 Td [(S)]TJ +/F75 9.9626 Tf 0 -20.386 Td [(S)]TJ 0 g 0 G /F84 9.9626 Tf 11.068 0 Td [(Single)-250(pr)18(ecision)-250(r)18(eal;)]TJ 0 g 0 G -/F75 9.9626 Tf -11.068 -21.934 Td [(D)]TJ +/F75 9.9626 Tf -11.068 -20.54 Td [(D)]TJ 0 g 0 G /F84 9.9626 Tf 13.28 0 Td [(Double)-250(pr)18(ecision)-250(r)18(eal;)]TJ 0 g 0 G -/F75 9.9626 Tf -13.28 -21.934 Td [(C)]TJ +/F75 9.9626 Tf -13.28 -20.539 Td [(C)]TJ 0 g 0 G /F84 9.9626 Tf 12.174 0 Td [(Single)-250(pr)18(ecision)-250(complex;)]TJ 0 g 0 G -/F75 9.9626 Tf -12.174 -21.934 Td [(Z)]TJ -0 g 0 G -/F84 9.9626 Tf 11.626 0 Td [(Double)-250(pr)18(ecision)-250(complex;)]TJ -0 g 0 G -/F75 9.9626 Tf -11.626 -21.934 Td [(LS,LD,LC,LZ)]TJ -0 g 0 G -/F84 9.9626 Tf 0.994 0 0 1 215.731 120.326 Tm [(Same)-250(numeric)-251(type)-250(as)-251(above,)-251(but)-250(with)]TJ/F131 9.9626 Tf 1 0 0 1 385.185 120.326 Tm [(psb_lpk_)]TJ/F84 9.9626 Tf 0.994 0 0 1 429.509 120.326 Tm [(integer)-250(indices.)]TJ -0 g 0 G - 1 0 0 1 317.579 90.438 Tm [(16)]TJ + 154.7 -29.888 Td [(16)]TJ 0 g 0 G ET @@ -7133,16 +7125,54 @@ endstream endobj 1069 0 obj << -/Length 7719 +/Length 8165 >> stream 0 g 0 G 0 g 0 G 0 g 0 G +BT +/F75 9.9626 Tf 99.895 706.129 Td [(Z)]TJ +0 g 0 G +/F84 9.9626 Tf 11.627 0 Td [(Double)-250(pr)18(ecision)-250(complex;)]TJ +0 g 0 G +/F75 9.9626 Tf -11.627 -18.188 Td [(LS,LD,LC,LZ)]TJ +0 g 0 G +/F84 9.9626 Tf 0.994 0 0 1 164.921 687.941 Tm [(Same)-251(numeric)-250(type)-251(as)-250(above,)-251(but)-250(with)]TJ/F131 9.9626 Tf 1 0 0 1 334.376 687.941 Tm [(psb_lpk_)]TJ/F84 9.9626 Tf 0.994 0 0 1 378.699 687.941 Tm [(integer)-251(indic)1(es.)]TJ 0.98 0 0 1 99.587 671.491 Tm [(The)-194(actual)-194(data)-194(is)-193(contained)-194(in)-194(the)-194(polymorphic)-194(component)]TJ/F131 9.9626 Tf 1 0 0 1 354.222 671.491 Tm [(a%a)]TJ/F84 9.9626 Tf 0.98 0 0 1 371.805 671.491 Tm [(of)-194(type)]TJ/F131 9.9626 Tf 1 0 0 1 403.329 671.491 Tm [(psb)]TJ +ET +q +1 0 0 1 419.647 671.69 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 422.785 671.491 Td [(T)]TJ +ET +q +1 0 0 1 428.643 671.69 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 431.782 671.491 Td [(base)]TJ +ET +q +1 0 0 1 453.331 671.69 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 456.469 671.491 Td [(sparse)]TJ +ET +q +1 0 0 1 488.478 671.69 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 491.617 671.491 Td [(mat)]TJ/F84 9.9626 Tf 0.98 0 0 1 507.308 671.491 Tm [(;)]TJ 1.02 0 0 1 99.895 659.535 Tm [(its)-247(speci\002c)-247(layout)-247(can)-247(be)-247(chosen)-247(dynamically)-247(among)-247(the)-247(pr)18(ede\002ned)-247(types,)-247(or)]TJ 1.02 0 0 1 99.895 647.58 Tm [(an)-252(entir)18(ely)-252(new)-252(storage)-251(layout)-252(can)-252(be)-251(implemented)-252(and)-252(passed)-252(to)-251(the)-252(library)]TJ 0.993 0 0 1 99.895 635.625 Tm [(at)-251(r)8(untime)-252(via)-251(the)]TJ/F131 9.9626 Tf 1 0 0 1 180.278 635.625 Tm [(psb_spasb)]TJ/F84 9.9626 Tf 0.993 0 0 1 229.837 635.625 Tm [(r)18(outine.)-312(The)-251(following)-252(very)-251(common)-251(formats)-252(ar)19(e)]TJ +0 g 0 G 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG +ET q -1 0 0 1 99.895 671.26 cm +1 0 0 1 99.895 577.766 cm 0 0 343.711 38.854 re f Q 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG @@ -7151,7 +7181,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F231 8.9664 Tf 112.299 699.454 Td [(type)]TJ +/F231 8.9664 Tf 112.299 605.96 Td [(type)]TJ 0 g 0 G 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G @@ -7164,7 +7194,7 @@ BT 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG - 9.414 -10.959 Td [(class)]TJ + 9.414 -10.958 Td [(class)]TJ 0 g 0 G [(\050psb_T_base_sparse_mat\051,)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -7189,169 +7219,141 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F84 9.9626 Tf 4.295 -41.429 Td [(Listing)-250(2:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(sparse)-250(matrix.)]TJ 0.98 0 0 1 99.587 603.446 Tm [(The)-194(actual)-194(data)-194(is)-193(contained)-194(in)-194(the)-194(polymorphic)-194(component)]TJ/F131 9.9626 Tf 1 0 0 1 354.222 603.446 Tm [(a%a)]TJ/F84 9.9626 Tf 0.98 0 0 1 371.805 603.446 Tm [(of)-194(type)]TJ/F131 9.9626 Tf 1 0 0 1 403.329 603.446 Tm [(psb)]TJ -ET -q -1 0 0 1 419.647 603.645 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F131 9.9626 Tf 422.785 603.446 Td [(T)]TJ -ET -q -1 0 0 1 428.643 603.645 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F131 9.9626 Tf 431.782 603.446 Td [(base)]TJ -ET -q -1 0 0 1 453.331 603.645 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F131 9.9626 Tf 456.469 603.446 Td [(sparse)]TJ -ET -q -1 0 0 1 488.478 603.645 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F131 9.9626 Tf 491.617 603.446 Td [(mat)]TJ/F84 9.9626 Tf 0.98 0 0 1 507.308 603.446 Tm [(;)]TJ 1.02 0 0 1 99.895 591.491 Tm [(its)-247(speci\002c)-247(layout)-247(can)-247(be)-247(chosen)-247(dynamically)-247(among)-247(the)-247(pr)18(ede\002ned)-247(types,)-247(or)]TJ 1.02 0 0 1 99.895 579.536 Tm [(an)-252(entir)18(ely)-252(new)-252(storage)-251(layout)-252(can)-252(be)-251(implemented)-252(and)-252(passed)-252(to)-251(the)-252(library)]TJ 0.993 0 0 1 99.895 567.581 Tm [(at)-251(r)8(untime)-252(via)-251(the)]TJ/F131 9.9626 Tf 1 0 0 1 180.278 567.581 Tm [(psb_spasb)]TJ/F84 9.9626 Tf 0.993 0 0 1 229.837 567.581 Tm [(r)18(outine.)-312(The)-251(following)-252(very)-251(common)-251(formats)-252(ar)19(e)]TJ 1 0 0 1 99.596 555.626 Tm [(pr)18(ecompiled)-250(in)-250(PSBLAS)-250(and)-250(thus)-250(ar)18(e)-250(always)-250(available:)]TJ +/F84 9.9626 Tf 4.295 -41.43 Td [(Listing)-250(2:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(sparse)-250(matrix.)]TJ -16.997 -22.173 Td [(pr)18(ecompiled)-250(in)-250(PSBLAS)-250(and)-250(thus)-250(ar)18(e)-250(always)-250(available:)]TJ 0 g 0 G -/F75 9.9626 Tf 0.299 -19.889 Td [(psb)]TJ +/F75 9.9626 Tf 0.298 -16.45 Td [(psb)]TJ ET q -1 0 0 1 117.091 535.936 cm +1 0 0 1 117.091 504.189 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 120.08 535.737 Td [(T)]TJ +/F75 9.9626 Tf 120.08 503.99 Td [(T)]TJ ET q -1 0 0 1 127.322 535.936 cm +1 0 0 1 127.322 504.189 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 130.311 535.737 Td [(coo)]TJ +/F75 9.9626 Tf 130.311 503.99 Td [(coo)]TJ ET q -1 0 0 1 146.411 535.936 cm +1 0 0 1 146.411 504.189 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 149.399 535.737 Td [(sparse)]TJ +/F75 9.9626 Tf 149.399 503.99 Td [(sparse)]TJ ET q -1 0 0 1 178.769 535.936 cm +1 0 0 1 178.769 504.189 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 181.758 535.737 Td [(mat)]TJ +/F75 9.9626 Tf 181.758 503.99 Td [(mat)]TJ 0 g 0 G /F84 9.9626 Tf 22.137 0 Td [(Coor)18(dinate)-250(storage;)]TJ 0 g 0 G -/F75 9.9626 Tf -104 -19.907 Td [(psb)]TJ +/F75 9.9626 Tf -104 -18.188 Td [(psb)]TJ ET q -1 0 0 1 117.091 516.03 cm +1 0 0 1 117.091 486.001 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 120.08 515.83 Td [(T)]TJ +/F75 9.9626 Tf 120.08 485.802 Td [(T)]TJ ET q -1 0 0 1 127.322 516.03 cm +1 0 0 1 127.322 486.001 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 130.311 515.83 Td [(csr)]TJ +/F75 9.9626 Tf 130.311 485.802 Td [(csr)]TJ ET q -1 0 0 1 143.631 516.03 cm +1 0 0 1 143.631 486.001 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 146.62 515.83 Td [(sparse)]TJ +/F75 9.9626 Tf 146.62 485.802 Td [(sparse)]TJ ET q -1 0 0 1 175.989 516.03 cm +1 0 0 1 175.989 486.001 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 178.978 515.83 Td [(mat)]TJ +/F75 9.9626 Tf 178.978 485.802 Td [(mat)]TJ 0 g 0 G /F84 9.9626 Tf 22.137 0 Td [(Compr)18(essed)-250(storage)-250(by)-250(r)18(ows;)]TJ 0 g 0 G -/F75 9.9626 Tf -101.22 -19.906 Td [(psb)]TJ +/F75 9.9626 Tf -101.22 -18.188 Td [(psb)]TJ ET q -1 0 0 1 117.091 496.123 cm +1 0 0 1 117.091 467.813 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 120.08 495.924 Td [(T)]TJ +/F75 9.9626 Tf 120.08 467.614 Td [(T)]TJ ET q -1 0 0 1 127.322 496.123 cm +1 0 0 1 127.322 467.813 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 130.311 495.924 Td [(csc)]TJ +/F75 9.9626 Tf 130.311 467.614 Td [(csc)]TJ ET q -1 0 0 1 144.179 496.123 cm +1 0 0 1 144.179 467.813 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 147.168 495.924 Td [(sparse)]TJ +/F75 9.9626 Tf 147.168 467.614 Td [(sparse)]TJ ET q -1 0 0 1 176.537 496.123 cm +1 0 0 1 176.537 467.813 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 179.526 495.924 Td [(mat)]TJ +/F75 9.9626 Tf 179.526 467.614 Td [(mat)]TJ 0 g 0 G -/F84 9.9626 Tf 22.137 0 Td [(Compr)18(essed)-250(storage)-250(by)-250(columns;)]TJ 1.019 0 0 1 99.587 476.035 Tm [(The)-245(inner)-244(sparse)-245(matrix)-244(has)-245(an)-245(associated)-244(state,)-245(which)-244(can)-245(take)-245(the)-244(following)]TJ 1 0 0 1 99.616 464.08 Tm [(values:)]TJ +/F84 9.9626 Tf 22.137 0 Td [(Compr)18(essed)-250(storage)-250(by)-250(columns;)]TJ 1.019 0 0 1 99.587 451.164 Tm [(The)-245(inner)-244(sparse)-245(matrix)-244(has)-245(an)-245(associated)-244(state,)-245(which)-244(can)-245(take)-245(the)-244(following)]TJ 1 0 0 1 99.616 439.209 Tm [(values:)]TJ 0 g 0 G -/F75 9.9626 Tf 0.279 -19.888 Td [(Build:)]TJ +/F75 9.9626 Tf 0.279 -16.451 Td [(Build:)]TJ 0 g 0 G -/F84 9.9626 Tf 1.014 0 0 1 132.822 444.192 Tm [(State)-246(enter)18(ed)-247(after)-246(the)-246(\002rst)-246(allocation,)-246(and)-246(befor)17(e)-246(the)-246(\002rst)-246(assembly;)-246(in)]TJ 1 0 0 1 124.802 432.237 Tm [(this)-250(state)-250(it)-250(is)-250(possible)-250(to)-250(add)-250(nonzer)18(o)-250(entries.)]TJ +/F84 9.9626 Tf 1.014 0 0 1 132.822 422.758 Tm [(State)-246(enter)18(ed)-247(after)-246(the)-246(\002rst)-246(allocation,)-246(and)-246(befor)17(e)-246(the)-246(\002rst)-246(assembly;)-246(in)]TJ 1 0 0 1 124.802 410.803 Tm [(this)-250(state)-250(it)-250(is)-250(possible)-250(to)-250(add)-250(nonzer)18(o)-250(entries.)]TJ 0 g 0 G -/F75 9.9626 Tf -24.907 -19.907 Td [(Assembled:)]TJ +/F75 9.9626 Tf -24.907 -18.188 Td [(Assembled:)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 158.276 412.33 Tm [(State)-258(enter)18(ed)-259(after)-258(the)-258(assembly;)-264(computations)-258(using)-258(the)-259(sparse)]TJ 1 0 0 1 124.802 400.375 Tm [(matrix,)-250(such)-250(as)-250(matrix-vector)-250(pr)18(oducts,)-250(ar)18(e)-250(only)-250(possible)-250(in)-250(this)-250(state;)]TJ +/F84 9.9626 Tf 1.02 0 0 1 158.276 392.615 Tm [(State)-258(enter)18(ed)-259(after)-258(the)-258(assembly;)-264(computations)-258(using)-258(the)-259(sparse)]TJ 1 0 0 1 124.802 380.66 Tm 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Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMR10. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup +/UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse +11 dict begin +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /SOSTRQ+CMR10 def +/FontBBox {-40 -250 1009 750 }readonly def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR10.) readonly def +/FullName (CMR10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 91 /bracketleft put +dup 93 /bracketright put +dup 61 /equal put +dup 40 /parenleft put +dup 41 /parenright put +dup 43 /plus put +readonly def +currentdict end +currentfile eexec +oc;jAw-=%W)-{ru)rAE(@{빴Q|_R +ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ +}3{Z2zݬT2s$Z&{BJ{x< ,-.2iRnñvپ1䠕 '䓱_r"O_t3kefBݼVfj9ҳ Yh뀸{q-ɷ}W??gw1*Eh[:tWeI,v8a<{B100Z85|}Nlw]6Nbh3E`(Eޏ'Q;eԃ/.DyL5$4IG׮Ɋ\yj9.VU5Q!-赁B9dB^oVwBɎT7RsOGA b#TBv!mWT=w,ID%'MK<|]D@2O( ݎ%#_ɷVBST#z!${l\4ĸ ;5l&!〚=(fUwAeB#30>H 'L+֓jz@=s\<=\Y$D?U 6xGQnǫi%֔! +L2[)!fXc<'ȲRP3E!-:'AJ.IJCJJt&{76 +#VH/Fgw"F5wS$|oQ<Η `~<10|;,zɴ% +oߠx0sW1Fx gmxVyѝ"]#z~pv Ũ.rB9$nYCC1td@#8kNԋK;ԓlF( ،N;d*<Ʀs9ZQ@It%[)7&hn Y'a¶T'Xrߙ/n_nJL (@ +К +N{KF^kbn~`L]aU{vLܺ41$rmAsnZ*=sob@{y !CC{c.WZ0n bpgsPd$-\ԛ&L27JBs/g(xQ,t>[8͓GsŸ:R$9]6&my)ivjWLRB^RBalx_Y:5M/j١!}`D&WȪQX$HߧtI .Y@nr_n܁ OtAN-L n?_^_g~Ə;`KB6eĶ +>lQp)/;S' ^:tJj@xE(0G;κQqǔkT'; ÃDHjsrxܖ +.>֯kl;&#<ښe)fFz`Ƿ?Ic@SH&<evn8F\V3aA!yy:+c!xbM։/f}3ߖ˦"G'fMsXWU}Yĵ^ %j!HOH͎_;臲Jv]# +$'Ch?5u-G:zHZ\%Uv z^By%NT⸶3=X?mJ-3iH@ܐfσkR.v'm.'SDly7 YCm^Gu5_G1t/ +41n_D>}p+fg9h$]@M`^ҹGK;5wIrqA3fAYiuYrD:dR At -,)aɺh9[ԧuS9KTKaX$wgɓO[xqǃyI(j5LIc}|h$zDUwY+Z:ϤŜ1le`u@|܈贚^6/y`a [Ί`ҾEwa ziLa}jʰ@}xWns0n*{l?Zz>8p-L&ȣK`> `%`ݿs?v˻^\*QNbf+ۼބo" ٧U zgga䎐uFљ<Xyݸ*g4?X2]4H͢^qLeoU~ 7>)ƤHnA7"{DRj)ע~eVDJ|X}ѧCrTA fP};"ӼK#ΑTF\^ԓ ; |R D\Ă Hu6QИ'Q3b;x#3S:jb%tJ/>ʡOrVށx]>)]l5o[F;,N&'i\NQIH?T:@FN SX0<)hW4fFDh.سT)^S-nw}, ZNEC Y Rez3\ +tY5`F~_xU|'XLJG@U6I \>:V_>զ9*I0}ӵ\"{3UzuFf٤Pߨ)E8Uw)gq:dj#hq so -@ +KG7"|QЇ Zzs|}LմS:fmA3S 2=[dؓJ\ܳc|tj1ƛArѮJv,K| ϕVސ +Q[ AEKS/zKc +O,4e|{G#RvKy{ K1EVVwb6ª=yeeܑuE>M%;,1W}w ~hW _F9QcyE~fz\a:a<2euggSR1Eܝ(=F=;q')^1>u6 +G0+B+渞bqGYitLxRIPvhԥϋ^:nwp5>^؉R}4agl}^(t7a &)ZS8n}@f0;b.ۣEL7%3C,@7[I [1sIX<[f܌a:?y3"u/'\d Dӹ=qU kκH$ yQ7pl*mhS]AD5ƫ79 +endstream +endobj +2290 0 obj << /Length1 1688 /Length2 8444 @@ -33484,273 +33684,45 @@ p b|<dF.O[vOhgyQ쮗h0},:(і~6umXRV<гJVM\Fw%T6VvQnϨ: M\څU-:φ57M}!ZD s  {$Q0݄n띮 (N3[( ?ӌo9Tuҫ6nuD!qZUT!pڐV؞/\h^:'.AES6P*BYL endstream endobj -2291 0 obj +2292 0 obj << -/Length1 1173 -/Length2 2916 +/Length1 2571 +/Length2 18274 /Length3 0 -/Length 4089 +/Length 20845 >> stream -%!PS-AdobeFont-1.0: PazoMath 001.003 -%%CreationDate: Fri May 17 11:17:28 2002 -%%VMusage: 120000 150000 +%!PS-AdobeFont-1.0: CMTT10 003.002 +%%Title: CMTT10 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMTT10. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMTT10 known{/CMTT10 findfont dup/UniqueID known{dup +/UniqueID get 5000832 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 14 dict dup begin -/version (001.003) readonly def -/Copyright ((c) Diego Puga, 2000, 2002.) readonly def -/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def -/FullName (Pazo Math) readonly def -/FamilyName (PazoMath) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -/Weight (Regular) readonly def -end readonly def -/FontName /IKXQUG+PazoMath def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 165 /infinity put -dup 229 /summation put -readonly def -/PaintType 0 def /FontType 1 def -/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def -/FontBBox {-40 -283 878 946} readonly def -currentdict end -currentfile eexec -oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1]mO CQC>iOLUO*TcTm(߀ 1U -nAYXU12rrE^Oy";Dm{O0 {2RBiNMufLon>Gl_1#Y> ؋nׯ ,G#IJ5.FE)a" pqo-4`7}ӺWt_ceuJh>>W! A5j-v`-?R tl.e)1=kdSi!5_l< -^+bގީܖnW%yg͚3N>Vp9e.ovh; ͍fW\^yя_ܓ'1︖œ]c*" 磺@A.XcǽD&(49g6vf4J ]5(W sԘtaȝ<[EpTU!JtО ?,L?!w sg0MhB1$sy8G(b>zuݬDoeHz)^0 -9JWf'UIcei+5H,r73g03{#Y_E^n2ݥ xdR$;9(fn*eHcAI#y`%,tŁ\ )_V+7\M7A4R"З@O!1$*ϤНsp%>*Ȗ, QɥH;Eٺ~b@n sXZۖ+ , -y#/!AL98Ta/eT,ut/u6~ 1QA\SW{N?2/G?E 8ӮchbK3q$;+^B(񬼨xฉk:wMX,Ӄ~R[&h8AS #L'ɧTp#{۪>;+⭼MuU[%V0EėٲC9؅Sםu^sI2\. ->j5xBĒڪ]˸f*g|x*cfr+B!H9R2H4^Ed>>J1uz&MLLioJ$!tFo_O>y,ު+#D qW2  tE"QIՅ.e]l w,*"Mf]i/FSꂒ.s_.n1 /8,}̨ W HFPsWkn3a9`6IݐWi>| =1uŪ4ԅXHAH -$-U3# -endstream -endobj -2293 0 obj -<< -/Length1 1188 -/Length2 2740 -/Length3 0 -/Length 3928 ->> -stream -%!PS-AdobeFont-1.0: PazoMath-Italic 001.003 -%%CreationDate: Fri May 17 11:17:28 2002 -%%VMusage: 120000 150000 -11 dict begin -/FontInfo 14 dict dup begin -/version (001.003) readonly def -/Copyright ((c) Diego Puga, 2000, 2002.) readonly def -/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def -/FullName (Pazo Math Italic) readonly def -/FamilyName (PazoMath) readonly def -/ItalicAngle -9.50 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -/Weight (Regular) readonly def -end readonly def -/FontName /DUJUUF+PazoMath-Italic def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 97 /alpha put -dup 98 /beta put -readonly def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /XIQVGP+CMTT10 def +/FontBBox {-4 -233 537 696 }readonly def /PaintType 0 def -/FontType 1 def -/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def -/FontBBox {-70 -277 902 733} readonly def -currentdict end -currentfile eexec -oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1] -đg@F7pqӁ')jjOh%Ssq={.] ZO7єEՄ|۪uBwLÍ `'&0Cg)X0F?nY&8 ˹r]lpKGCpoğg\t/bj}t SEcqR7VL%Y'1b J71SU3=gO>bHt kKc:hA:F.xW(L^N1K @_P̹>nnof7-U El#+A5FԔkyt:RR2\3 l v"ڪ> V b/&"@4 -nD5tv_\$S|KpCO1vF^(By@`gFszV0Qn .T=>>rYA,{ɠQrF!s߸ߟ0׀ߎ5ˢV<4d(nLس[PC;+qޥK V:d&>J3)Q6P|B5 e )\@~7mknˋ$ԶܖP+C}o*( -.47W?8"N[.^7/Ɵ3/3j(ĦwN wLjC; f&cv^%:S,yr8N@K}m>KWKn9}%FSGhpxC(@rX#?F0ʃ#w^cuֻy"-lE#~%U1b[ ^•1@*rEPWS/?N!< e* Wxax"(Z5ŅQu? -UgH{@^Κ2]Ʀy1Q',XL kx2 ]mȌ0`픈p:*:_kp -ϊ%,vVb]2q2嶖ćVas |HzN@=ܫ7ikK\}pYNsS)# 􊄡c,E׀Z=D=0Maf~nľ4ߍš2Bob bObwww>|Gkh6p r[#P"77vE8ʖ$;E6zдR]}##+0"i%uCj,|aSVMx5p6Uj(mE*~mYdǡ旵w#`9k?)픥ZW|M%H*'a>"Vћw5t0QPGR%"*Bu+8~j X< @cNngYGй34 V])-l Ɋ5imՙUV#Ŷ{ۭls1we(\OL ER~[шPs1\zLDgSS[Oup6(@1RsP1 ?=E؜neM6N5w<3dq^cF)UI2M F~q -1йmدNIB}fȷ/ZMYE(Y֋'Ჹ -T;UF7<{LN-^(U'UAf0GivO0P$ 4Z@/.}L dlI/_f>k[WSʪ1<" ̣U3 lP.+\Bl{ɂH%չ'%@-ƺRS覟yNuE|v^+ZRkڜ[ȈRԶ0ZH: -wFe@g`!$ pepdw,,# ov>ժI83!/ J?|i$d_(/;b49%Xealwv_̹@drp.l䧏<ɁJt~M[y 3[{ -endstream -endobj -2295 0 obj -<< -/Length1 1756 -/Length2 19614 -/Length3 0 -/Length 21370 ->> -stream -%!PS-AdobeFont-1.0: LMRoman10-Regular 2.004 -%%CreationDate: 7th October 2009 -% Generated by MetaType1 (a MetaPost-based engine) -% Copyright 2003--2009 by B. 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Nowacki (on behalf of TeX USERS GROUPS).)readonly def -/FullName(LMMono10-Regular)readonly def -/FamilyName(LMMono10)readonly def -/Weight(Normal)readonly def /isFixedPitch true def -/ItalicAngle 0 def -/UnderlinePosition -167 def -/UnderlineThickness 69 def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /ZZOAJY+LMMono10-Regular def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put @@ -33812,7 +33784,7 @@ dup 37 /percent put dup 46 /period put dup 43 /plus put dup 113 /q put -dup 39 /quotesingle put +dup 13 /quotesingle put dup 114 /r put dup 115 /s put dup 54 /six put @@ -33829,171 +33801,118 @@ dup 121 /y put dup 122 /z put dup 48 /zero put readonly def -/PaintType 0 def -/FontType 1 def -/StrokeWidth 0 def -/FontMatrix[0.001 0 0 0.001 0 0]readonly def -%/UniqueID 0 def -/FontBBox{-451 -316 731 1016}readonly def currentdict end currentfile eexec -oc;j~EЪ%9.>XJٚмD"e?&oLH:]~nX%l޹dQ@a~M~EA˟V.UM؀")JY4қ UC92"\ܡw1rlxнtaA*`JpZ+TX{ԉZ4 -3<@Rb[silk`Lخ_/{S&QR`SZC^鶃?\j!m,jk3\<5](R_4Qj|64CAt71[C-#׀ȗ(PNGFa|spam6&b 4NaaמY.͐! ->\rnM0/T*fvXA္-wrO -Bg(JCIeP9zgV"zow$1=VXqmXNkMv!:P3wV?Zd dCB߻1sVArXUɫl݈>>;F4ǤMY]W &R`92.:BB:?҉s%D7Κթv(O+}8<:Uyky -eJ&^V-/gvDgPg ,A*-7pS+zZxU)\ADf}مe_d#="RXLvL3Bj@=$edKpwwF b|3 e\`Rt?!dkb;^m;pZt~ Uhm4]M1OS n$zIΌ5 6ȤZ -Jo4!"Ĉk:=*R~z ٷBp`,6`CƻjӼdAw/'NŬW#?"b-DHԭK}V^MtOe/  y_4s z\gPn@݁wwy7u Qڕ6 W.C*I;%EE|o$Aѡ6x -_ihA%fGmTaY\8X!f=;b'D %q-y<4gY>켙qZsr뇙R{MWJ@t$䎎{~>.KsM\Z p5B_:Yg`̌ ҫqă.S+F  B ,דcYhwR>O,+fK}|Р4*1:/ -ԝsI,P> +p1#!' 4wP91HGPA,;G' ŠN\T421G9f&K/}#XFDĖqDIAY%A[OuDTDh۰dL|*SSv\xt-PV3*5#T+VVqϮ>cוЙ2h kcK@̫aH0:핤>Ò -RS.+sz%^dsOn?YSynZ!_^)LB[TPxtD;9\w{d\z(fD>lSW "+loƛ|MD}DZ -x͚;ngK4"3=nӴ~fz6?&݃Z,XB%Zmܕ2䨉 ss[`:OSOb_WA7⚕vkɀw<@;|I(Pd!*V?ho0Wy.&-q~G2&KmShJ~ܵxMmmi|\'] A׿ц؊}) $2`%䖬T QԾ h -_NdP!ɥ*G9f4y+3Nb|K 1zhxyVӋ:Y,P#ge׳ ' 6E6) -;usW`v'oaVM DڂxLȃf s'3hjXbK|Ф5bV8^{5{.z%q;LX<uZ1AHœh&5\]{$+-2d`&9.Ͼ /f=B UmպJCεĽRxE% oMsHMofPYkzPAz}ԭ}|EtQW]=1C/]L1 Pbn?UAه nҎ&GmlI,ĨS}ۄA75b˗a5aR2DӼP྄CXz8R lTjI}!'83J -1]H$ -lĈz`Dy;mW/ZPf_wm/S7@?*ə,# [q j徛oLw ǃA~չ- - w_cn”?b0ְZҍ@o2)֢K//%xFfi -"ğ+O#'7m~'8y:+4ә%I3PC;S(Y[0*S?P?˞4R*w3R֑dEm:Q_XjH"{ROnMaPz˙k CTд/g5Y9QF腈l$7e/;WEN&NepE+3=g_C׀A> -k['G -w[P2|5sk"7l3[;!Fw&['B˨1)s][y[ԗчJ;A'gAQ"~HP,6[G`4&VXCcLUK</ω0yP -͜.rIl(cth7'PD]Do(RӓjvtT-φ -t?DZ~Wμ̝]+նIKɹǶn /^hGwG+tZ̮M,7'IE u0{HڞX-5{9h̡Fg bU*s1_* -QVSt~CoR;Ծ؍(.uރ]^FZf)bOۧvg4fARq&6<:."ooA XUt96{W -gaGu|W 0fV3OvxԫMV\hǂ3^xF v~oe`Z `FͫNLǻɒ[̑xD zNpznWo )(2Zؿ[!3P,JMwNBy0D |S9Cba@O'Fd1sMnCw8dp\fp8ǫ.JP "al뮚 buR>UB}jwVk\1ջvJʓ{Ov&[P]HɯifX2e}B6b ݄3ϷJKÀئ۲i))%<-o^JKx*=U Fz@uNh.v%+p O3]_|/yBϤ7s#N9 ,\'# A|]dp$S]ת"_K1mWqglwАq,sx4M#!D_B2шY 2Sau7_&%;|s1g} 4 - V/AW9k$pR*{Bo3o\=C =qoT`n *UloCL6l'h[njI90 (B;H6$ޟVe=a.q)PIµ )|r33ap"O]_}bsm.\&l3jtdkA5?I[˩jG)֛ ->[_@1N4R]}Rbw/a͋"S)IZ5f3ԬN,|&@9_X(B0 F4 v:(M o#j;tL!ѧAar2X -x0 &Lߑ KhOJE@6bsӾ'HՊE83|y{BK"U~Sj 2P^k -e7m ңFwލ)L4guRͲ&J b1qy0m?fm7zSR8a*|ZN-Q8e>R6^̉!(H0N 's0D&a)*X[Y潡hZ+"=j)ZUü{yc!{OKz<*!JOr7M$;PҞ؏1^5{ Mƃz`(n'@03AːZ  pH=خ:UEGVc$ -`HC*2/Ťj&w|cbsV.(7=#>G~7 |P%ϸۻHF)P9*$3#&{_:-O)2rQKK\SRiN 6@yԓI)3& j0kQT%boV,:N *L:7O#1~ Hz0ejUddL_ۢʬ+;3B<(? <^{O,~`h`I4ӍKDѯ!XT~*&TU_p.0s3`II*zf}Z -r$ -EX{cB*U@LYH_XNBM./7ӻܲ$7n"ߑZ`VY IlAݜ"ABڹsq?Q}5>" p-!Pi-j~#,FdLʜ. ͽdg? 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Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS). -% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG. -% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki -% from GUST (http://www.gust.org.pl). -% This work is released under the GUST Font License. -% For the most recent version of this license see -% This work has the LPPL maintenance status `maintained'. -% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki. -% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. -% ADL: 778 222 0 +/Length 18611 +>> +stream +%!PS-AdobeFont-1.0: CMTT9 003.002 +%%Title: CMTT9 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMTT9. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments -FontDirectory/LMMono9-Regular known{/LMMono9-Regular findfont dup/UniqueID known{dup -/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/CMTT9 known{/CMTT9 findfont dup/UniqueID known{dup +/UniqueID get 5000831 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse -17 dict begin +11 dict begin +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /FYMOSO+CMTT9 def +/FontBBox {-6 -233 542 698 }readonly def +/PaintType 0 def /FontInfo 9 dict dup begin -/version(2.004)readonly def -/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def -/FullName(LMMono9-Regular)readonly def -/FamilyName(LMMono9)readonly def -/Weight(Normal)readonly def -/isFixedPitch true def +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMTT9.) readonly def +/FullName (CMTT9) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def /ItalicAngle 0 def -/UnderlinePosition -150 def -/UnderlineThickness 67 def +/isFixedPitch true def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /HBOWRG+LMMono9-Regular def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put @@ -34197,7 +34033,7 @@ dup 37 /percent put dup 46 /period put dup 43 /plus put dup 113 /q put -dup 39 /quotesingle put +dup 13 /quotesingle put dup 114 /r put dup 115 /s put dup 59 /semicolon put @@ -34214,282 +34050,177 @@ dup 121 /y put dup 122 /z put dup 48 /zero put readonly def +currentdict end +currentfile eexec +oc;jAw-=%W)-{ru)rAE(@{빴Q|_R +ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ +}3{Z2zݬT2s$Z&{BJ{=מ0).nBd^/!2-G+~b7 N&lds%o53NPc9U,Y뱂0L+OAdN;[9!"k_ӆ$Rb՘g uxVMhL$3Py5,o"7'*E<Zcb8r$`Fާ/r]:BI\$~=ԑψȜȿ!ꖲQS*_LyXg*!#B;Fdy9 vF.x&W܀cK[龭j + T-hj:ֲbcӢx~gk0^Z]Ψ&33g3wm2pBÌ:~qF邉u<^IE=*J.Zwc38Y.1jKAs;Ļ`R^yCQ4y &{uQgF +vlP︩ +e=Gylw +x]v&o9fiQpymQrijF\UBu :sy7R'T{cr/bzfuy-_Kh~ sӭ>a(zfz!#vZuZ"VUEɟw-@ i aI+ R̿P;XC 6e+je[7-^j[ +g93 ÅD c% ؙyJC=z[t vʩ>V3m9=Wp+l֏nׇ3g#7:Q@P~-u@ӱDV\sS;x; +J 'p +y?^CI $HGYt` \Lj%fxSڌrܾ0;=l;ÀMI>o C" + m޳I^:O|u.^Nuwb`95>dJJ 0Xp[tu^%ئ`' +0T I{ 6j=w ɽډ7Ș:{?lH)8OfmXn,ߗ Pii]X&Bx{5ǬfEޮDtz9nyB t+ 4,p$@x&|Ĩ4H~4J7B<«CP}uz|gr-:u[D\; }bUIS{27= FBk' + .~"tOz-3RٷZ[&hD|AQGCH :\'`aу2{=o>u&0߻;e01]V2c`CJ1/LW Yckɲ }c8LC|g%Y9.?e+PҁI4,}#yE؇]%T>},S !*. vt7[ORYSSԪ5՞l+>͎l6UY'_p%=]^:k2 b3Ҳvu\k!n2̋@Q*v}5z3mؚ/_~GfG쪑4,=5%ڹ]EHfnۀxRL/' 7.eϽaG}r +~) ]<$2uo6){QBX[#CI3je/NUX+`"P[\AXa|i Hnk, ? J_y3^c}|at <;1v@{EҬ /E7+?`+7TɈ/~2Fe匊I5)SXvNe BҮmy‰_14tl0w +3Kq +Tύ\Ӽzl]%bpg7G)t[VN~O^ v`v`чm +ňXh>r:9e1SNC$c% $¦,TM2COVe=S7u_{x $:#Zi1ʇl y ö^|QLψc&Hn) Ϩ|he }IMǕW*+-Z,dުyfmvԛ]t ;`o]WHY}'PN`SuBf$,ՕL=wm0mV l TOnt6M"X˃qDf0ms9?Ğ_mnH`AAmҚ +ܭajfnUۙCat/vPqE$NP^_مdv"TC[ |wҁ1|7B%fW"d6QIaҝE.Z;eF{N#{}?7yg +hS `tZ" *QC&KsulJ|6i$rEFXggξ&vH_I)LR*QgXuV,В"%_L΄"4vܹ٩vûZ! +Y@L{vߺ+N*Y+qi]/^L)my1=K ~{it{n?'2d,佛rt߳-F܅Fl L yfF?M_*a5պӽŒ!d 2Λiw/";qfW"^0$goaWvm.͢B/c@{:d"Av]P}C*&kx;k6܆xɃ% ^X2Lg]VmMhxP&({g^֣ ĤԒ|(dk/ܺHԔqJ'wBtgO`Oc \K*/g9Z<0vBWK=Q]a9LWA VR{C.Wwu5KnBr-DRe9(=4TS6-H;&hFjc{nHUqn9ӳZ-wP;KIЕW+etQaw/_bZƕ ;;_#,\jíPdUՉ~tjӨ%$rg#*\>i{BvwUr/lLr 9 Emҫt뾃J,9~5Q?tcʔ~mѣxbÿzw]~ D%ɕc|T_Ҷ꿛)3!p AW+vHQ8(>ז?;?q(Cq/GI ۾b.q3;xV-1Jk[YlFsxP\W4{f󴴧 + `uvfGP|[7KEg&®rNC V0P᪞Eklت0[W#>s>Z3ϻ9+Gh,G:Cs/ATv-ţ"ʤA~"~^9(cƖrB`j9+c6in~>EAA*/}.K`S7 TZ)O,&])6`~z0>Hi:iBF1cFAa SNrp,Wb7A.Bi2߶3\gH?;N^i7F;u JZ3@7lHWjdoMts<9Mza$| s;|?VL1.Z$HHT҉YI'I9Z-_MǾgeq<'amͺS2:;$~Rlg cFa+E-+ӎbUIuſn{?B %bNDQ +Ғ bKn[?뒎|)|D*,PW )HB)]3= ،(mfkOas W8<Ϗ6G{(VK" ?JdSph,byZVàrTM:V?iG2֛ + 5CBiS%QN.gzڞ:.X'E&V`yZMޛo*(>"CcCa̐#sA^Q@%n}CE5v,Pr 3vXؼ #|T wd-xm_D5)nGM1\`QGXф RBaS;ɤ H=p1i/9?W aADjk'Tю9OY7YT&Jcې?M%"heg~QOkk}?j'ӇZq쾋Ƿ a (!XD欄(t|8]*T0f~PN{kj+01|ǠO_+CwvålMM/(mq.;OK4&7B*3H{{S:|+B)MEKx87-s;9I(H!xIr_6͵C`GKOB=K)G(>AQҠH=+}ķČg,`yn!**=e6`%䖬n-m}hD|o⽕AЉ ײQ>V |N2P0 + :&s8&՚F}Rqb+?;Zγ94nNqw1[J2aYg`ϽD(V8 +bR#g…8 EEh \c50 +yiJ´-ۖi-JV?yl~Mh#_tԟ`LN'yhEsL*,:B6>a@IzlK$'yfm_^]o88ދJ-p$k?9Q|A;3h6@yYSo+UtOcP!^,?7 &+d`U^XF4-NuLƘrbsًWFbj_uv DHzMf>=Q٤^䓬ًm`D13F %l4ZV^UV} as.XZvUm%kh`o݃"l%&CR@,Z[KEhCЕ0vxF;ٱYsj40C1>)ACW70xJĻm$Tdλ$(i#so~wEx \lYe?X&a'#b{PP-a Q jq*lw|W:@rwZ_9 v'E}=)̑ AF+,bCCEeg-ZWNN`[5Fscn&`gWbV;LON<(6,Sy!KhCt˙B ̑CJt\ ֢ %'ZEoEOP\.zk0g\|ۚi \gX5 Ҹ Ip MUF5o1Iڳ2r)%"ֱ?&ޑ+y N_ȎnOiY}F3tVs8)SD +Kf/_|"=O@PLh=3}Hsu:XzsEOOO c4j9bq +&Qlj kkk-)H꣛$Beтe M޴_ 5tyƃJt\TR`I{@ i¸0_wHcoIk ;N 1Xmq* Zȇ6+V[. \O8  'AǤDgX*}Hx 2f!zLb}ǜEFrmˋm^0~`LUxKZ?thҘAR'C'4)Q}'f}L%u?nCOc#r܈v)$ xt|"LdeP*Q5P\{#k8CZvc>Nh5a]h..iak[]>Ӏ?`jR$H$1s= +{P&>M4T夲SXL ?@v:hnxG u^YJT QCGmڢ6?^k \] +B.Flܕ-kh`pB?54]^> lLz1[2>v-ybrL£f˛'TА"=C2AѭĈIF6y2itMgkˏv\h_sbN%z*bˑ$Dߘ$gF@3Te9@ +0 y;*@$_VU2cv˧T1C֜ -QR}6ښlP_Ký.m랈A 7s9$!W'%֟%^izgGLILՠ-BV lF_aiw;O-b1ULԠd7oI d !mq4\9J7Ԅ1Z0-Ur* +1bTQ<-i6Oy ?} m g[z~] hh7cP$ǣʵM['ƍ۸8S72jkt>Uuh].7LQ' LLfOԫB {N\u#_v4@<%Ɖ}ѻŬșj,ļ nc&ehh3OqrӺɐ2kG% NA+ɱAȓ]0t~*&"WFK?\otlr8uRP ?hlJ?:Ш5TQ\p}T,Ue\ ?<}SXoq{]Z-ξM})J셰m.JKoס~ߐ`1?`Jt19ELP3eoPuPD* +Swh~@>p b|LtZR jUf:ADIrz/ng7C &BSynH5ި[G%(LDK0po $oF%%@@ם֮igre`ZKК + + $v庻,eA+J4#cgH)Ѯ;[`e/iC} +MݪaɊZH3V |"aO&?z} <8XOV9K-+Tq9py9Q$"I⍩cJ6['XiNj(7M!$=*4c\CJLd9ݪs\U0Z=<2XsTh|v,s#:؏ENEWfUnro_NADzϳ5>d0Q]q_ikUx-XaW2VmEz>'cJ+373`K_CLj,0S +92[upz:z Kb%]7OZT0=mqub8NÊo;Qu&nA*3N4 +?7s v[Q<>Q=v\QgLh}a,׳{(º8rdl=r(J_!O+\د\\m&@ AB!{& xf@V^˝6z3V /rl@.%y0=y%^zZ%d o x\EyyxΣh9@…0~Ov\ ;;@US%QW@?RW^m%Xbe/z9I'y7g}sBdn +D9q(I |GAbEփc^"Jϔ4\~Cѩ|  ?ԩ*.#f/ŧ~9KH{1 s oiA:J)!3kXJͩRwjyG0A>gX pH(hc%\U?EZ,NvdMw{rιck<2kz:[]D>-Yk1V'1ݐ >KOWɈt9v^q 4S|;.HQe+NeLX]CQRf2#?<ByΕ3Y95{кz((GD }SU}0>zo*%׻$l& +}K+L5XB`{PFR/e{xIf!dw!q>)ο ׫lV]$>OmK1y^џ= "YkKgt[16eധp[hNc}]#^kNoʼm, 5uy<nTAt<w&+5Oy[N[P+J $iٍ/%ֈHEPBaz`~-a+wi W=Y%b-SQ=SVuIwﮖHC8q- WR͢ݼ?҉Gg5)9 P9_Q+[nk#%J!z6:Li)YexR4̩b&-bϠeNbx+Ԃ>xr}ԁ%Sx#\/aĬ1^BIO̅ԕx_<=rTi_[-W&g!z{Ni%3s|刽66g಑doD^-@AJHSPHS[N:OR~\bj1 p +endstream +endobj +2298 0 obj +<< +/Length1 1173 +/Length2 2916 +/Length3 0 +/Length 4089 +>> +stream +%!PS-AdobeFont-1.0: PazoMath 001.003 +%%CreationDate: Fri May 17 11:17:28 2002 +%%VMusage: 120000 150000 +11 dict begin +/FontInfo 14 dict dup begin +/version (001.003) readonly def +/Copyright ((c) Diego Puga, 2000, 2002.) readonly def +/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/FullName (Pazo Math) readonly def +/FamilyName (PazoMath) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/Weight (Regular) readonly def +end readonly def +/FontName /IKXQUG+PazoMath def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 165 /infinity put +dup 229 /summation put +readonly def /PaintType 0 def /FontType 1 def -/StrokeWidth 0 def -/FontMatrix[0.001 0 0 0.001 0 0]readonly def -%/UniqueID 0 def -/FontBBox{-451 -318 734 1016}readonly def +/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def +/FontBBox {-40 -283 878 946} readonly def currentdict end currentfile eexec -oc;j~EЪ%9.>XJٚмD"e?&oLH:]~nX%l޹dQ@a~M~EA˟V.UM؀")JY4қ UC92"\ܡw1rlxнtaA*`JpZ+TX{ԉ]_W_(~FvWfE@QcPNdqclY]O据k r ln8e &y~8qEd*f$_{}EN5w0amL@opra,YuvT fEC/ -^[XO2 WEƃKQB:Avyug=qp5/1[܂!l2T'9HCaĉwC3^Cy}^ 2A3>G|H.]J%KV`8?(0gt,OT7 $n"Jao82*t߮.Մe]'2bvi)k+T:CY#M57^kjrcTDd;y9/E͜I7K| Sݿ[l6 -K|OV`b'Eph(uf*؈{sG(\hM9?5 g| 9@? -;^;Z]_pX5MlpCbMD C![]z>nԥR>X5 ksƾl -yHRv,##ymB[! 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Nowacki -% from GUST (http://www.gust.org.pl). -% This work is released under the GUST Font License. -% For the most recent version of this license see -% This work has the LPPL maintenance status `maintained'. -% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki. -% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. -% ADL: 778 222 0 -%%EndComments -FontDirectory/LMMono10-Italic known{/LMMono10-Italic findfont dup/UniqueID known{dup -/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse -{save true}{false}ifelse}{false}ifelse -17 dict begin -/FontInfo 9 dict dup begin -/version(2.004)readonly def -/Notice(Copyright 2003--2009 by B. Jackowski and J.M. 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+/Ordering (cmr10-builtin) /Supplement 0 >> def -/CMapName /TeX-cmr10-lm-rep-cmrm-0 def +/CMapName /TeX-cmr10-builtin-0 def /CMapType 2 def 1 begincodespacerange <00> endcodespacerange -6 beginbfrange +7 beginbfrange <07> <08> <03A5> <23> <26> <0023> <28> <3B> <0028> <3F> <5B> <003F> <61> <7A> <0061> <7B> <7C> <2013> + <03A5> endbfrange -44 beginbfchar +78 beginbfchar <00> <0393> <01> <2206> <02> <0398> @@ -35198,6 +34967,40 @@ endbfrange <7D> <02DD> <7E> <02DC> <7F> <00A8> + <0020> + <0393> + <2206> + <0398> + <039B> + <039E> + <03A0> + <03A3> + <03A8> + <00AD> + <00A0> + <2126> + <00660066> + <00660069> + <0066006C> + <006600660069> + <00660066006C> + <0131> + <0237> + <0060> + <00B4> + <02C7> + <02D8> + <00AF> + <02DA> + <00B8> + <00DF> + <00E6> + <0153> + <00F8> + <00C6> + <0152> + <00D8> + <00A8> endbfchar endcmap CMapName currentdict /CMap defineresource pop @@ -35208,7 +35011,7 @@ end endstream endobj -2315 0 obj +2312 0 obj << /Length 2050 >> @@ -35354,16 +35157,16 @@ end 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D@ DA DB DC DD DE DF DG DH DI DJ DK DL DM DN DO DP DQ DR DS DT DU DV DW DX+"+e endstream endobj startxref -2904685 +2843920 %%EOF diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex index 0ef07fa8..65481912 100644 --- a/docs/src/datastruct.tex +++ b/docs/src/datastruct.tex @@ -387,11 +387,11 @@ accelerators. -\subsubsection{psb\_cd\_get\_large\_threshold --- Get threshold for +\subsubsection{psb\_cd\_get\_hash\_threshold --- Get threshold for index mapping switch} \begin{verbatim} -ith = psb_cd_get_large_threshold() +ith = psb_cd_get_hash_threshold() \end{verbatim} \begin{description} @@ -403,12 +403,12 @@ ith = psb_cd_get_large_threshold() -\subsubsection{psb\_cd\_set\_large\_threshold --- Set threshold for +\subsubsection{psb\_cd\_set\_hash\_threshold --- Set threshold for index mapping switch} %\addcontentsline{toc}{paragraph}{psb\_cd\_set\_large\_threshold} \begin{verbatim} -call psb_cd_set_large_threshold(ith) +call psb_cd_set_hash_threshold(ith) \end{verbatim} \begin{description} @@ -420,6 +420,11 @@ Type: {\bf required}.\\ Intent: {\bf in}.\\ Specified as: an integer value greater than zero. \end{description} +This threshold guides the library into using a list based or a +hash-table based descriptor for global to local index conversion; +if the size of the global index space is below this threshold, a list +based structure is used, if it is above a hash-table based structure +is used. Note: the threshold value is only queried by the library at the time a call to \fortinline|psb_cdall| is executed, therefore changing the threshold has no effect on communication descriptors that have already been