-ith = psb_cd_get_large_threshold() +ith = psb_cd_get_hash_threshold()
@@ -780,13 +780,13 @@ class="description">
-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.
+
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.
+
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.
-
+
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 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
-
-
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
-
-
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.
-
-
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 . 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
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-%!PS-AdobeFont-1.0: LMMono10-Regular 2.004
-%%CreationDate: 7th October 2009
-% Generated by MetaType1 (a MetaPost-based engine)
-% Copyright 2003--2009 by B. 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
-%%EndComments
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-/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def
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-/FamilyName(LMMono10)readonly def
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/isFixedPitch true def
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dup 46 /period put
dup 43 /plus put
dup 113 /q put
-dup 39 /quotesingle put
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dup 114 /r put
dup 115 /s put
dup 54 /six put
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dup 122 /z put
dup 48 /zero put
readonly def
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-/FontType 1 def
-/StrokeWidth 0 def
-/FontMatrix[0.001 0 0 0.001 0 0]readonly def
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currentdict end
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-% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki
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-% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
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+%!PS-AdobeFont-1.0: CMTT8 003.002
+%%Title: CMTT8
+%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 CMTT8.
+% 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.
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-FontDirectory/LMMono8-Regular known{/LMMono8-Regular findfont dup/UniqueID known{dup
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+FontDirectory/CMTT8 known{/CMTT8 findfont dup/UniqueID known{dup
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+/FullName (CMTT8) readonly def
+/FamilyName (Computer Modern) readonly def
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readonly def
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-/FontType 1 def
-/StrokeWidth 0 def
-/FontMatrix[0.001 0 0 0.001 0 0]readonly def
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+%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.
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