diff --git a/docs/html/index.html b/docs/html/index.html index ea9bd532d..22e14a3ec 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -17,11 +17,13 @@ class="pplb7t-x-x-172">User’s and Reference Guide
A reference guide for the Parallel Sparse BLAS library
Salvatore Filippone
by Salvatore Filippone
Alfredo Buttari
Alfredo Buttari
Fabio Durastante
Software version: 3.9.0
Aug 1st, 2024 +class="newline" />Jun 1st, 2025 @@ -31,34 +33,38 @@ class="newline" />Aug 1st, 2024
 Contents +
 Preface +
 Preface
 1 Introduction +href="userhtmlse1.html#x4-30001" id="QQ2-4-4">Introduction
 2 General overview +href="userhtmlse2.html#x5-40002" id="QQ2-5-5">General overview
 3 Data Structures and Classes +href="userhtmlse3.html#x9-100003" id="QQ2-9-13">Data Structures and Classes
 4 Computational routines +href="userhtmlse4.html#x10-560004" id="QQ2-10-63">Computational routines
 5 Communication routines +href="userhtmlse5.html#x11-730005" id="QQ2-11-96">Communication routines
 6 Data management routines +href="userhtmlse6.html#x12-780006" id="QQ2-12-107">Data management routines
 7 Parallel environment routines +href="userhtmlse7.html#x13-1060007" id="QQ2-13-135">Parallel environment routines
 8 Error handling +href="userhtmlse8.html#x14-1240008" id="QQ2-14-153">Error handling
 9 Utilities +href="userhtmlse9.html#x15-1290009" id="QQ2-15-160">Utilities
 10 Preconditioner routines +href="userhtmlse10.html#x16-13600010" id="QQ2-16-167">Preconditioner routines
 11 Iterative Methods +href="userhtmlse11.html#x18-14600011" id="QQ2-18-178">Iterative Methods
 12 Extensions +href="userhtmlse12.html#x20-14900012" id="QQ2-20-181">Extensions
 13 CUDA Environment Routines +href="userhtmlse13.html#x21-15800013" id="QQ2-21-196">CUDA Environment Routines
 References +href="userhtmlli3.html#x22-173000" id="QQ2-22-225">References
@@ -73,6 +79,7 @@ href="userhtmlli2.html#x21-172000" id="QQ2-21-223">References + diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index ea9bd532d..22e14a3ec 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -17,11 +17,13 @@ class="pplb7t-x-x-172">User’s and Reference Guide
A reference guide for the Parallel Sparse BLAS library
Salvatore Filippone
by Salvatore Filippone
Alfredo Buttari
Alfredo Buttari
Fabio Durastante
Software version: 3.9.0
Aug 1st, 2024 +class="newline" />Jun 1st, 2025 @@ -31,34 +33,38 @@ class="newline" />Aug 1st, 2024
 Contents +
 Preface +
 Preface
 1 Introduction +href="userhtmlse1.html#x4-30001" id="QQ2-4-4">Introduction
 2 General overview +href="userhtmlse2.html#x5-40002" id="QQ2-5-5">General overview
 3 Data Structures and Classes +href="userhtmlse3.html#x9-100003" id="QQ2-9-13">Data Structures and Classes
 4 Computational routines +href="userhtmlse4.html#x10-560004" id="QQ2-10-63">Computational routines
 5 Communication routines +href="userhtmlse5.html#x11-730005" id="QQ2-11-96">Communication routines
 6 Data management routines +href="userhtmlse6.html#x12-780006" id="QQ2-12-107">Data management routines
 7 Parallel environment routines +href="userhtmlse7.html#x13-1060007" id="QQ2-13-135">Parallel environment routines
 8 Error handling +href="userhtmlse8.html#x14-1240008" id="QQ2-14-153">Error handling
 9 Utilities +href="userhtmlse9.html#x15-1290009" id="QQ2-15-160">Utilities
 10 Preconditioner routines +href="userhtmlse10.html#x16-13600010" id="QQ2-16-167">Preconditioner routines
 11 Iterative Methods +href="userhtmlse11.html#x18-14600011" id="QQ2-18-178">Iterative Methods
 12 Extensions +href="userhtmlse12.html#x20-14900012" id="QQ2-20-181">Extensions
 13 CUDA Environment Routines +href="userhtmlse13.html#x21-15800013" id="QQ2-21-196">CUDA Environment Routines
 References +href="userhtmlli3.html#x22-173000" id="QQ2-22-225">References
@@ -73,6 +79,7 @@ href="userhtmlli2.html#x21-172000" id="QQ2-21-223">References + diff --git a/docs/html/userhtml17.html b/docs/html/userhtml17.html new file mode 100644 index 000000000..4680e0bef --- /dev/null +++ b/docs/html/userhtml17.html @@ -0,0 +1,19 @@ + + + + + + + + + + +
+

4The string is case-insensitive

+ + diff --git a/docs/html/userhtml19.html b/docs/html/userhtml19.html new file mode 100644 index 000000000..ab4e0ad13 --- /dev/null +++ b/docs/html/userhtml19.html @@ -0,0 +1,23 @@ + + + + + + + + + + +
+

5Note: the implementation is for FCG(1).

+ diff --git a/docs/html/userhtml6.html b/docs/html/userhtml6.html index 6f264aaf9..5e7123938 100644 --- a/docs/html/userhtml6.html +++ b/docs/html/userhtml6.html @@ -10,15 +10,10 @@ -
-

2This is the normal situation when the pattern of the sparse matrix is symmetric, which is equivalent to - say that the interaction between two variables is reciprocal. If the matrix pattern is non-symmetric we may - have one-way interactions, and these could cause a situation in which a boundary point is not a halo point - for its neighbour.

+
+

1In our prototype implementation we provide sample scatter/gather routines.

+ diff --git a/docs/html/userhtml7.html b/docs/html/userhtml7.html index d004fb83f..e870a7bc2 100644 --- a/docs/html/userhtml7.html +++ b/docs/html/userhtml7.html @@ -11,16 +11,14 @@
-

3The subroutine style psb_precinit and psb_precbld are still supported for backward +

2This is the normal situation when the pattern of the sparse matrix is symmetric, which is equivalent to compatibility

+class="pplr7t-x-x-80">say that the interaction between two variables is reciprocal. If the matrix pattern is non-symmetric we may + have one-way interactions, and these could cause a situation in which a boundary point is not a halo point + for its neighbour. diff --git a/docs/html/userhtml8.html b/docs/html/userhtml8.html new file mode 100644 index 000000000..c8c2f8bad --- /dev/null +++ b/docs/html/userhtml8.html @@ -0,0 +1,26 @@ + + + + + + + + + + +
+

3The subroutine style psb_precinit and psb_precbld are still supported for backward + compatibility

+ diff --git a/docs/html/userhtmlli1.html b/docs/html/userhtmlli1.html index 2fdc700c7..5f64b2a6f 100644 --- a/docs/html/userhtmlli1.html +++ b/docs/html/userhtmlli1.html @@ -10,354 +10,356 @@ -

[next] [

[next] [tail] [up]

Contents

-  1 Introduction +  Preface +
 1 Introduction
 2 General overview +href="userhtmlse2.html#x5-40002">General overview
  2.1 Basic Nomenclature +href="userhtmlse2.html#x5-50002.1" id="QQ2-5-7">Basic Nomenclature
  2.2 Library contents +href="userhtmlse2.html#x5-60002.2" id="QQ2-5-9">Library contents
  2.3 Application structure +href="userhtmlse2.html#x5-70002.3" id="QQ2-5-10">Application structure
   2.3.1 User-defined index mappings +href="userhtmlse2.html#x5-80002.3.1" id="QQ2-5-11">User-defined index mappings
  2.4 Programming model +href="userhtmlse2.html#x5-90002.4" id="QQ2-5-12">Programming model
 3 Data Structures and Classes +href="userhtmlse3.html#x9-100003">Data Structures and Classes
  3.1 Descriptor data structure +href="userhtmlse3.html#x9-110003.1" id="QQ2-9-14">Descriptor data structure
   3.1.1 Descriptor Methods +href="userhtmlse3.html#x9-120003.1.1" id="QQ2-9-16">Descriptor Methods
   3.1.2 get_local_rows — Get number of local rows +href="userhtmlse3.html#x9-130003.1.2" id="QQ2-9-17">get_local_rows — Get number of local rows
   3.1.3 get_local_cols — Get number of local cols +href="userhtmlse3.html#x9-140003.1.3" id="QQ2-9-18">get_local_cols — Get number of local cols
   3.1.4 get_global_rows — Get number of global rows +href="userhtmlse3.html#x9-150003.1.4" id="QQ2-9-19">get_global_rows — Get number of global rows
   3.1.5 get_global_cols — Get number of global cols +href="userhtmlse3.html#x9-160003.1.5" id="QQ2-9-20">get_global_cols — Get number of global cols
   3.1.6 get_global_indices — Get vector of global indices +href="userhtmlse3.html#x9-170003.1.6" id="QQ2-9-21">get_global_indices — Get vector of global indices
   3.1.7 get_context — Get communication context +href="userhtmlse3.html#x9-180003.1.7" id="QQ2-9-22">get_context — Get communication context
   3.1.8 Clone — clone current object +href="userhtmlse3.html#x9-190003.1.8" id="QQ2-9-23">Clone — clone current object
   3.1.9 CNV — convert internal storage format +href="userhtmlse3.html#x9-200003.1.9" id="QQ2-9-24">CNV — convert internal storage format
   3.1.10 psb_cd_get_hash_threshold — Get threshold for index mapping switch +href="userhtmlse3.html#x9-210003.1.10" id="QQ2-9-25">psb_cd_get_hash_threshold — Get threshold for index mapping switch
   3.1.11 psb_cd_set_hash_threshold — Set threshold for index mapping switch +href="userhtmlse3.html#x9-220003.1.11" id="QQ2-9-26">psb_cd_set_hash_threshold — Set threshold for index mapping switch
   3.1.12 get_p_adjcncy — Get process adjacency list +href="userhtmlse3.html#x9-230003.1.12" id="QQ2-9-27">get_p_adjcncy — Get process adjacency list
   3.1.13 set_p_adjcncy — Set process adjacency list +href="userhtmlse3.html#x9-240003.1.13" id="QQ2-9-28">set_p_adjcncy — Set process adjacency list
   3.1.14 fnd_owner — Find the owner process of a set of indices +href="userhtmlse3.html#x9-250003.1.14" id="QQ2-9-29">fnd_owner — Find the owner process of a set of indices
   3.1.15 Named Constants -
  3.2 Sparse Matrix class -
   3.2.1 Sparse Matrix Methods -
   3.2.2 get_nrows — Get number of rows in a sparse matrix +href="userhtmlse3.html#x9-260003.1.15" id="QQ2-9-30">Named Constants +
  3.2 Sparse Matrix class +
   3.2.1 Sparse Matrix Methods +
   3.2.2 get_nrows — Get number of rows in a sparse matrix
   3.2.3 get_ncols — Get number of columns in a sparse matrix +href="userhtmlse3.html#x9-300003.2.3" id="QQ2-9-35">get_ncols — Get number of columns in a sparse matrix
   3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix +href="userhtmlse3.html#x9-310003.2.4" id="QQ2-9-36">get_nnzeros — Get number of nonzero elements in a sparse matrix
   3.2.5 get_size — Get maximum number of nonzero elements in a sparse matrix +href="userhtmlse3.html#x9-320003.2.5" id="QQ2-9-37">get_size — Get maximum number of nonzero elements in a sparse matrix
   3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix +href="userhtmlse3.html#x9-330003.2.6" id="QQ2-9-38">sizeof — Get memory occupation in bytes of a sparse matrix
   3.2.7 get_fmt — Short description of the dynamic type +href="userhtmlse3.html#x9-340003.2.7" id="QQ2-9-39">get_fmt — Short description of the dynamic type
   3.2.8 is_bld, is_upd, is_asb — Status check +href="userhtmlse3.html#x9-350003.2.8" id="QQ2-9-40">is_bld, is_upd, is_asb — Status check
   3.2.9 is_lower, is_upper, is_triangle, is_unit — Format check +href="userhtmlse3.html#x9-360003.2.9" id="QQ2-9-41">is_lower, is_upper, is_triangle, is_unit — Format check
   3.2.10 cscnv — Convert to a different storage format +href="userhtmlse3.html#x9-370003.2.10" id="QQ2-9-42">cscnv — Convert to a different storage format
   3.2.11 csclip — Reduce to a submatrix +href="userhtmlse3.html#x9-380003.2.11" id="QQ2-9-43">csclip — Reduce to a submatrix
   3.2.12 clean_zeros — Eliminate zero coefficients +href="userhtmlse3.html#x9-390003.2.12" id="QQ2-9-44">clean_zeros — Eliminate zero coefficients
   3.2.13 get_diag — Get main diagonal +href="userhtmlse3.html#x9-400003.2.13" id="QQ2-9-45">get_diag — Get main diagonal
   3.2.14 clip_diag — Cut out main diagonal +href="userhtmlse3.html#x9-410003.2.14" id="QQ2-9-46">clip_diag — Cut out main diagonal
   3.2.15 tril — Return the lower triangle +href="userhtmlse3.html#x9-420003.2.15" id="QQ2-9-47">tril — Return the lower triangle
   3.2.16 triu — Return the upper triangle +href="userhtmlse3.html#x9-430003.2.16" id="QQ2-9-48">triu — Return the upper triangle
   3.2.17 psb_set_mat_default — Set default storage format +href="userhtmlse3.html#x9-440003.2.17" id="QQ2-9-49">psb_set_mat_default — Set default storage format
   3.2.18 clone — Clone current object +href="userhtmlse3.html#x9-450003.2.18" id="QQ2-9-50">clone — Clone current object
   3.2.19 Named Constants +href="userhtmlse3.html#x9-460003.2.19" id="QQ2-9-51">Named Constants
  3.3 Dense Vector Data Structure +href="userhtmlse3.html#x9-470003.3" id="QQ2-9-52">Dense Vector Data Structure
   3.3.1 Vector Methods +href="userhtmlse3.html#x9-480003.3.1" id="QQ2-9-54">Vector Methods
   3.3.2 get_nrows — Get number of rows in a dense vector +href="userhtmlse3.html#x9-490003.3.2" id="QQ2-9-55">get_nrows — Get number of rows in a dense vector
   3.3.3 sizeof — Get memory occupation in bytes of a dense vector +href="userhtmlse3.html#x9-500003.3.3" id="QQ2-9-56">sizeof — Get memory occupation in bytes of a dense vector
   3.3.4 set — Set contents of the vector +href="userhtmlse3.html#x9-510003.3.4" id="QQ2-9-57">set — Set contents of the vector
   3.3.5 get_vect — Get a copy of the vector contents +href="userhtmlse3.html#x9-520003.3.5" id="QQ2-9-58">get_vect — Get a copy of the vector contents
   3.3.6 clone — Clone current object +href="userhtmlse3.html#x9-530003.3.6" id="QQ2-9-59">clone — Clone current object
  3.4 Preconditioner data structure +href="userhtmlse3.html#x9-540003.4" id="QQ2-9-60">Preconditioner data structure
  3.5 Heap data structure +href="userhtmlse3.html#x9-550003.5" id="QQ2-9-62">Heap data structure
 4 Computational routines +href="userhtmlse4.html#x10-560004">Computational routines
  4.1 psb_geaxpby — General Dense Matrix Sum +href="userhtmlse4.html#x10-570004.1" id="QQ2-10-64">psb_geaxpby — General Dense Matrix Sum
  4.2 psb_gedot — Dot Product +href="userhtmlse4.html#x10-580004.2" id="QQ2-10-66">psb_gedot — Dot Product
  4.3 psb_gedots — Generalized Dot Product +href="userhtmlse4.html#x10-590004.3" id="QQ2-10-68">psb_gedots — Generalized Dot Product
  4.4 psb_normi — Infinity-Norm of Vector +href="userhtmlse4.html#x10-600004.4" id="QQ2-10-70">psb_normi — Infinity-Norm of Vector
  4.5 psb_geamaxs — Generalized Infinity Norm +href="userhtmlse4.html#x10-610004.5" id="QQ2-10-72">psb_geamaxs — Generalized Infinity Norm
  4.6 psb_norm1 — 1-Norm of Vector +href="userhtmlse4.html#x10-620004.6" id="QQ2-10-74">psb_norm1 — 1-Norm of Vector
  4.7 psb_geasums — Generalized 1-Norm of Vector +href="userhtmlse4.html#x10-630004.7" id="QQ2-10-76">psb_geasums — Generalized 1-Norm of Vector
  4.8 psb_norm2 — 2-Norm of Vector +href="userhtmlse4.html#x10-640004.8" id="QQ2-10-78">psb_norm2 — 2-Norm of Vector
  4.9 psb_genrm2s — Generalized 2-Norm of Vector +href="userhtmlse4.html#x10-650004.9" id="QQ2-10-80">psb_genrm2s — Generalized 2-Norm of Vector
  4.10 psb_norm1 — 1-Norm of Sparse Matrix +href="userhtmlse4.html#x10-660004.10" id="QQ2-10-82">psb_norm1 — 1-Norm of Sparse Matrix
  4.11 psb_normi — Infinity Norm of Sparse Matrix +href="userhtmlse4.html#x10-670004.11" id="QQ2-10-84">psb_normi — Infinity Norm of Sparse Matrix
  4.12 psb_spmm — Sparse Matrix by Dense Matrix Product +href="userhtmlse4.html#x10-680004.12" id="QQ2-10-86">psb_spmm — Sparse Matrix by Dense Matrix Product
  4.13 psb_spsm — Triangular System Solve +href="userhtmlse4.html#x10-690004.13" id="QQ2-10-88">psb_spsm — Triangular System Solve
  4.14 psb_gemlt — Entrywise Product +href="userhtmlse4.html#x10-700004.14" id="QQ2-10-90">psb_gemlt — Entrywise Product
  4.15 psb_gediv — Entrywise Division +href="userhtmlse4.html#x10-710004.15" id="QQ2-10-92">psb_gediv — Entrywise Division
  4.16 psb_geinv — Entrywise Inversion +href="userhtmlse4.html#x10-720004.16" id="QQ2-10-94">psb_geinv — Entrywise Inversion
 5 Communication routines +href="userhtmlse5.html#x11-730005">Communication routines
  5.1 psb_halo — Halo Data Communication +href="userhtmlse5.html#x11-740005.1" id="QQ2-11-97">psb_halo — Halo Data Communication
  5.2 psb_ovrl — Overlap Update +href="userhtmlse5.html#x11-750005.2" id="QQ2-11-100">psb_ovrl — Overlap Update
  5.3 psb_gather — Gather Global Dense Matrix -
  5.4 psb_scatter — Scatter Global Dense Matrix -
 6 Data management routines -
  6.1 psb_cdall — Allocates a communication descriptor +href="userhtmlse5.html#x11-760005.3" id="QQ2-11-103">psb_gather — Gather Global Dense Matrix +
  5.4 psb_scatter — Scatter Global Dense Matrix +
 6 Data management routines +
  6.1 psb_cdall — Allocates a communication descriptor
  6.2 psb_cdins — Communication descriptor insert routine +href="userhtmlse6.html#x12-800006.2" id="QQ2-12-109">psb_cdins — Communication descriptor insert routine
  6.3 psb_cdasb — Communication descriptor assembly routine +href="userhtmlse6.html#x12-810006.3" id="QQ2-12-110">psb_cdasb — Communication descriptor assembly routine
  6.4 psb_cdcpy — Copies a communication descriptor +href="userhtmlse6.html#x12-820006.4" id="QQ2-12-111">psb_cdcpy — Copies a communication descriptor
  6.5 psb_cdfree — Frees a communication descriptor +href="userhtmlse6.html#x12-830006.5" id="QQ2-12-112">psb_cdfree — Frees a communication descriptor
  6.6 psb_cdbldext — Build an extended communication descriptor +href="userhtmlse6.html#x12-840006.6" id="QQ2-12-113">psb_cdbldext — Build an extended communication descriptor
  6.7 psb_spall — Allocates a sparse matrix +href="userhtmlse6.html#x12-850006.7" id="QQ2-12-114">psb_spall — Allocates a sparse matrix
  6.8 psb_spins — Insert a set of coefficients into a sparse matrix +href="userhtmlse6.html#x12-860006.8" id="QQ2-12-115">psb_spins — Insert a set of coefficients into a sparse matrix
  6.9 psb_spasb — Sparse matrix assembly routine +href="userhtmlse6.html#x12-870006.9" id="QQ2-12-116">psb_spasb — Sparse matrix assembly routine
  6.10 psb_spfree — Frees a sparse matrix +href="userhtmlse6.html#x12-880006.10" id="QQ2-12-117">psb_spfree — Frees a sparse matrix
  6.11 psb_sprn — Reinit sparse matrix structure for psblas routines. +href="userhtmlse6.html#x12-890006.11" id="QQ2-12-118">psb_sprn — Reinit sparse matrix structure for psblas routines.
  6.12 psb_geall — Allocates a dense matrix +href="userhtmlse6.html#x12-900006.12" id="QQ2-12-119">psb_geall — Allocates a dense matrix
  6.13 psb_geins — Dense matrix insertion routine +href="userhtmlse6.html#x12-910006.13" id="QQ2-12-120">psb_geins — Dense matrix insertion routine
  6.14 psb_geasb — Assembly a dense matrix +href="userhtmlse6.html#x12-920006.14" id="QQ2-12-121">psb_geasb — Assembly a dense matrix
  6.15 psb_gefree — Frees a dense matrix +href="userhtmlse6.html#x12-930006.15" id="QQ2-12-122">psb_gefree — Frees a dense matrix
  6.16 psb_gelp — Applies a left permutation to a dense matrix +href="userhtmlse6.html#x12-940006.16" id="QQ2-12-123">psb_gelp — Applies a left permutation to a dense matrix
  6.17 psb_glob_to_loc — Global to local indices convertion +href="userhtmlse6.html#x12-950006.17" id="QQ2-12-124">psb_glob_to_loc — Global to local indices convertion
  6.18 psb_loc_to_glob — Local to global indices conversion +href="userhtmlse6.html#x12-960006.18" id="QQ2-12-125">psb_loc_to_glob — Local to global indices conversion
  6.19 psb_is_owned — +href="userhtmlse6.html#x12-970006.19" id="QQ2-12-126">psb_is_owned —
  6.20 psb_owned_index — +href="userhtmlse6.html#x12-980006.20" id="QQ2-12-127">psb_owned_index —
  6.21 psb_is_local — +href="userhtmlse6.html#x12-990006.21" id="QQ2-12-128">psb_is_local —
  6.22 psb_local_index — +href="userhtmlse6.html#x12-1000006.22" id="QQ2-12-129">psb_local_index —
  6.23 psb_get_boundary — Extract list of boundary elements +href="userhtmlse6.html#x12-1010006.23" id="QQ2-12-130">psb_get_boundary — Extract list of boundary elements
  6.24 psb_get_overlap — Extract list of overlap elements +href="userhtmlse6.html#x12-1020006.24" id="QQ2-12-131">psb_get_overlap — Extract list of overlap elements
  6.25 psb_sp_getrow — Extract row(s) from a sparse matrix +href="userhtmlse6.html#x12-1030006.25" id="QQ2-12-132">psb_sp_getrow — Extract row(s) from a sparse matrix
  6.26 psb_sizeof — Memory occupation +href="userhtmlse6.html#x12-1040006.26" id="QQ2-12-133">psb_sizeof — Memory occupation
  6.27 Sorting utilities — +href="userhtmlse6.html#x12-1050006.27" id="QQ2-12-134">Sorting utilities —
 7 Parallel environment routines +href="userhtmlse7.html#x13-1060007">Parallel environment routines
  7.1 psb_init — Initializes PSBLAS parallel environment +href="userhtmlse7.html#x13-1070007.1" id="QQ2-13-136">psb_init — Initializes PSBLAS parallel environment
  7.2 psb_info — Return information about PSBLAS parallel environment +href="userhtmlse7.html#x13-1080007.2" id="QQ2-13-137">psb_info — Return information about PSBLAS parallel environment
  7.3 psb_exit — Exit from PSBLAS parallel environment +href="userhtmlse7.html#x13-1090007.3" id="QQ2-13-138">psb_exit — Exit from PSBLAS parallel environment
  7.4 psb_get_mpi_comm — Get the MPI communicator +href="userhtmlse7.html#x13-1100007.4" id="QQ2-13-139">psb_get_mpi_comm — Get the MPI communicator
  7.5 psb_get_mpi_rank — Get the MPI rank +href="userhtmlse7.html#x13-1110007.5" id="QQ2-13-140">psb_get_mpi_rank — Get the MPI rank
  7.6 psb_wtime — Wall clock timing +href="userhtmlse7.html#x13-1120007.6" id="QQ2-13-141">psb_wtime — Wall clock timing
  7.7 psb_barrier — Sinchronization point parallel environment +href="userhtmlse7.html#x13-1130007.7" id="QQ2-13-142">psb_barrier — Sinchronization point parallel environment
  7.8 psb_abort — Abort a computation +href="userhtmlse7.html#x13-1140007.8" id="QQ2-13-143">psb_abort — Abort a computation
  7.9 psb_bcast — Broadcast data +href="userhtmlse7.html#x13-1150007.9" id="QQ2-13-144">psb_bcast — Broadcast data
  7.10 psb_sum — Global sum +href="userhtmlse7.html#x13-1160007.10" id="QQ2-13-145">psb_sum — Global sum
  7.11 psb_max — Global maximum +href="userhtmlse7.html#x13-1170007.11" id="QQ2-13-146">psb_max — Global maximum
  7.12 psb_min — Global minimum +href="userhtmlse7.html#x13-1180007.12" id="QQ2-13-147">psb_min — Global minimum
  7.13 psb_amx — Global maximum absolute value +href="userhtmlse7.html#x13-1190007.13" id="QQ2-13-148">psb_amx — Global maximum absolute value
  7.14 psb_amn — Global minimum absolute value +href="userhtmlse7.html#x13-1200007.14" id="QQ2-13-149">psb_amn — Global minimum absolute value
  7.15 psb_nrm2 — Global 2-norm reduction +href="userhtmlse7.html#x13-1210007.15" id="QQ2-13-150">psb_nrm2 — Global 2-norm reduction
  7.16 psb_snd — Send data +href="userhtmlse7.html#x13-1220007.16" id="QQ2-13-151">psb_snd — Send data
  7.17 psb_rcv — Receive data +href="userhtmlse7.html#x13-1230007.17" id="QQ2-13-152">psb_rcv — Receive data
 8 Error handling +href="userhtmlse8.html#x14-1240008">Error handling
  8.1 psb_errpush — Pushes an error code onto the error stack +href="userhtmlse8.html#x14-1250008.1" id="QQ2-14-156">psb_errpush — Pushes an error code onto the error stack
  8.2 psb_error — Prints the error stack content and aborts execution -
  8.3 psb_set_errverbosity — Sets the verbosity of error messages -
  8.4 psb_set_erraction — Set the type of action to be taken upon error condition -
 9 Utilities +href="userhtmlse8.html#x14-1260008.2" id="QQ2-14-157">psb_error — Prints the error stack content and aborts execution +
  8.3 psb_set_errverbosity — Sets the verbosity of error messages +
  8.4 psb_set_erraction — Set the type of action to be taken upon error condition +
 9 Utilities
  9.1 hb_read — Read a sparse matrix from a file in the Harwell–Boeing format +href="userhtmlse9.html#x15-1300009.1" id="QQ2-15-161"> hb_read — Read a sparse matrix from a file in the Harwell–Boeing format
  9.2 hb_write — Write a sparse matrix to a file in the Harwell–Boeing format +href="userhtmlse9.html#x15-1310009.2" id="QQ2-15-162">hb_write — Write a sparse matrix to a file in the Harwell–Boeing format
  9.3 mm_mat_read — Read a sparse matrix from a file in the MatrixMarket format +href="userhtmlse9.html#x15-1320009.3" id="QQ2-15-163">mm_mat_read — Read a sparse matrix from a file in the MatrixMarket format
  9.4 mm_array_read — Read a dense array from a file in the MatrixMarket format +href="userhtmlse9.html#x15-1330009.4" id="QQ2-15-164">mm_array_read — Read a dense array from a file in the MatrixMarket format
  9.5 mm_mat_write — Write a sparse matrix to a file in the MatrixMarket format +href="userhtmlse9.html#x15-1340009.5" id="QQ2-15-165">mm_mat_write — Write a sparse matrix to a file in the MatrixMarket format
  9.6 mm_array_write — Write a dense array from a file in the MatrixMarket format +href="userhtmlse9.html#x15-1350009.6" id="QQ2-15-166">mm_array_write — Write a dense array from a file in the MatrixMarket format
 10 Preconditioner routines +href="userhtmlse10.html#x16-13600010">Preconditioner routines
  10.1 init — Initialize a preconditioner +href="userhtmlse10.html#x16-13700010.1" id="QQ2-16-168">init — Initialize a preconditioner
  10.2 Set — set preconditioner parameters +href="userhtmlse10.html#x16-13800010.2" id="QQ2-16-169">Set — set preconditioner parameters
  10.3 build — Builds a preconditioner +href="userhtmlse10.html#x16-13900010.3" id="QQ2-16-171">build — Builds a preconditioner
  10.4 apply — Preconditioner application routine +href="userhtmlse10.html#x16-14000010.4" id="QQ2-16-172">apply — Preconditioner application routine
  10.5 descr — Prints a description of current preconditioner +href="userhtmlse10.html#x16-14100010.5" id="QQ2-16-173">descr — Prints a description of current preconditioner
  10.6 clone — clone current preconditioner +href="userhtmlse10.html#x16-14200010.6" id="QQ2-16-174">clone — clone current preconditioner
  10.7 free — Free a preconditioner +href="userhtmlse10.html#x16-14300010.7" id="QQ2-16-175">free — Free a preconditioner
  10.8 allocate_wrk — preconditioner +href="userhtmlse10.html#x16-14400010.8" id="QQ2-16-176">allocate_wrk — preconditioner
  10.9 deallocate_wrk — preconditioner +href="userhtmlse10.html#x16-14500010.9" id="QQ2-16-177">deallocate_wrk — preconditioner
 11 Iterative Methods +href="userhtmlse11.html#x18-14600011">Iterative Methods
  11.1 psb_krylov — Krylov Methods Driver Routine +href="userhtmlse11.html#x18-14700011.1" id="QQ2-18-179">psb_krylov — Krylov Methods Driver Routine
  11.2 psb_richardson — Richardson Iteration Driver Routine +href="userhtmlse11.html#x18-14800011.2" id="QQ2-18-180">psb_richardson — Richardson Iteration Driver Routine
 12 Extensions +href="userhtmlse12.html#x20-14900012">Extensions
  12.1 Using the extensions +href="userhtmlse12.html#x20-15000012.1" id="QQ2-20-182">Using the extensions
  12.2 Extensions’ Data Structures +href="userhtmlse12.html#x20-15100012.2" id="QQ2-20-183">Extensions’ Data Structures
  12.3 CPU-class extensions +href="userhtmlse12.html#x20-15200012.3" id="QQ2-20-186">CPU-class extensions
  12.4 CUDA-class extensions +href="userhtmlse12.html#x20-15700012.4" id="QQ2-20-195">CUDA-class extensions
 13 CUDA Environment Routines +href="userhtmlse13.html#x21-15800013">CUDA Environment Routines
  psb_cuda_init +href="userhtmlse13.html#Q1-21-198">psb_cuda_init
  psb_cuda_exit +href="userhtmlse13.html#Q1-21-200">psb_cuda_exit
  psb_cuda_DeviceSync +href="userhtmlse13.html#Q1-21-202">psb_cuda_DeviceSync
  psb_cuda_getDeviceCount +href="userhtmlse13.html#Q1-21-204">psb_cuda_getDeviceCount
  psb_cuda_getDevice +href="userhtmlse13.html#Q1-21-206">psb_cuda_getDevice
  psb_cuda_setDevice +href="userhtmlse13.html#Q1-21-208">psb_cuda_setDevice
  psb_cuda_DeviceHasUVA +href="userhtmlse13.html#Q1-21-210">psb_cuda_DeviceHasUVA
  psb_cuda_WarpSize +href="userhtmlse13.html#Q1-21-212">psb_cuda_WarpSize
  psb_cuda_MultiProcessors +href="userhtmlse13.html#Q1-21-214">psb_cuda_MultiProcessors
  psb_cuda_MaxThreadsPerMP +href="userhtmlse13.html#Q1-21-216">psb_cuda_MaxThreadsPerMP
  psb_cuda_MaxRegisterPerBlock +href="userhtmlse13.html#Q1-21-218">psb_cuda_MaxRegisterPerBlock
  psb_cuda_MemoryClockRate +href="userhtmlse13.html#Q1-21-220">psb_cuda_MemoryClockRate
  psb_cuda_MemoryBusWidth +href="userhtmlse13.html#Q1-21-222">psb_cuda_MemoryBusWidth
  psb_cuda_MemoryPeakBandwidth +href="userhtmlse13.html#Q1-21-224">psb_cuda_MemoryPeakBandwidth
@@ -369,7 +371,7 @@ href="userhtmlse13.html#Q1-20-222">psb_cuda_MemoryPeakBandwidth

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-References +Preface @@ -10,216 +10,74 @@ -

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References

-

-

-

- [1]   G. Bella, S. Filippone, A. De Maio and M. Testa, A Simulation Model - for Forest Fires, in J. Dongarra, K. Madsen, J. Wasniewski, editors, - Proceedings of PARA 04 Workshop on State of the Art in Scientific - Computing, pp. 546–553, Lecture Notes in Computer Science, Springer, - 2005. -

-

- [2]   D. Bertaccini and S. Filippone, Sparse approximate - inverse preconditioners on high performance GPU platforms, Comput. Math. - Appl., 71, (2016), no. 3, 693–711. -

-

- [3]   A. Buttari, D. di Serafino, P. D’Ambra, S. Filippone, 2LEV-D2P4: - a package of high-performance preconditioners, Applicable Algebra in - Engineering, Communications and Computing, Volume 18, Number 3, - May, 2007, pp. 223-239 -

-

- [4]   P. D’Ambra, S. Filippone, D. Di Serafino On the Development of - PSBLAS-based Parallel Two-level Schwarz Preconditioners Applied - Numerical Mathematics, Elsevier Science, Volume 57, Issues 11-12, - November-December 2007, Pages 1181-1196. -

-

- [5]   Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R., An - Extended Set of Fortran Basic Linear Algebra Subprograms, ACM Trans. - Math. Softw. vol. 14, 1–17, 1988. -

-

- [6]   Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I., A Set of level - 3 Basic Linear Algebra Subprograms, ACM Trans. Math. Softw. vol. 16, - 1–17, 1990. - - - -

-

- [7]   J. J. Dongarra and R. C. Whaley, A User’s Guide to the BLACS - v. 1.1, Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of - Tennessee, March 1995 (updated May 1997). -

-

- [8]   I. Duff, M. Marrone, G. Radicati and C. Vittoli, Level 3 Basic Linear - Algebra Subprograms for Sparse Matrices: a User Level Interface, ACM - Transactions on Mathematical Software, 23(3), pp. 379–401, 1997. -

-

- [9]   I. Duff, M. Heroux and R. Pozo, An Overview of the Sparse Basic Linear - Algebra Subprograms: the New Standard from the BLAS Technical Forum, ACM - Transactions on Mathematical Software, 28(2), pp. 239–267, 2002. -

-

- [10]   S. Filippone and M. Colajanni, PSBLAS: A Library for Parallel - Linear Algebra Computation on Sparse Matrices, ACM Transactions on - Mathematical Software, 26(4), pp. 527–550, 2000. -

-

- [11]   S. Filippone and A. Buttari, Object-Oriented Techniques for Sparse - Matrix Computations in Fortran 2003, ACM Transactions on Mathematical - Software, 38(4), 2012. -

-

- [12]   S. Filippone, P. D’Ambra, M. Colajanni, Using a Parallel Library of - Sparse Linear Algebra in a Fluid Dynamics Applications Code on Linux - Clusters, in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, - Parallel Computing - Advances & Current Issues, pp. 441–448, Imperial - College Press, 2002. -

-

- [13]    Gamma, E., Helm, R., Johnson, R., and Vlissides, J. 1995. Design - Patterns: Elements of Reusable Object-Oriented Software. Addison-Wesley. -

-

- [14]   Karypis, G. and Kumar, V., METIS: Unstructured Graph Partitioning - and Sparse Matrix Ordering System. Minneapolis, MN 55455: University - of Minnesota, Department of Computer Science, 1995. Internet Address: - http://www.cs.umn.edu/~karypis. + id="x3-2000">Preface + +

This manual describes the main features of PSBLAS, a library for parallel sparse +computations that has been developed over a number of years. +

Our work has been mainly devoted to providing a foundational toolkit on which +many algorithms can be implemented; the toolkit has proven its effectiveness and +flexibility in many ways. The PSBLAS component deals mostly with the +computational kernels and environment handling; it supports computations on +normal CPUs, including the usage of OpenMP for parallellizing across multiple +cores. +

This foundational package provides linear solvers and some very simple +preconditioners; the companion package AMG4PSBLAS explores how to use the +base toolkit to build much more sophisticated preconditioners which can be plugged +seamlessly into the base solvers. +

The software architecture allows us to offer support for many alternatives in the +implementation, including usage of heterogeneous platforms, and computations +performed on GPUs throuh CUDA. There is support for GPU computations through +OpenACC, but it is at this time a highly experimental version; we plan to +also look at using accelerators through OpenMP as support from compilers +improves. +

The project is lead by Salvatore Filippone; a number of people have been +contributing to this package over the years; contributors in roughly reverse +chronological order: +
Theophane Loloum +
Fabio Durastante +
Dimitri Walther +
Andea Di Iorio +
Stefano Petrilli +
Soren Rasmussen +
Zaak Beekman +
Ambra Abdullahi Hassan +
Pasqua D’Ambra +
Alfredo Buttari +
Daniela di Serafino +
Michele Martone +
Michele Colajanni +
Fabio Cerioni +
Stefano Maiolatesi +
Dario Pascucci +

-

-

- [15]   Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., Basic Linear - Algebra Subprograms for Fortran usage, ACM Trans. Math. Softw. vol. 5, - 38–329, 1979. -

-

- [16]   Machiels, L. and Deville, M. Fortran 90: An entry to object-oriented - programming for the solution of partial differential equations. ACM Trans. - Math. Softw. vol. 23, 32–49. -

-

- [17]   Metcalf, M., Reid, J. and Cohen, M. Fortran 95/2003 explained. Oxford - University Press, 2004. -

-

- [18]   Metcalf, M., Reid, J. and Cohen, M. Modern Fortran explained. Oxford - University Press, 2011. -

-

- [19]   Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The - Object-Oriented Way. Cambridge University Press (2011) -

-

- [20]   M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, - MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, MIT - Press, 1998. -

-

- [21]   D. Barbieri, V. Cardellini, - S. Filippone and D. Rouson Design Patterns for Scientific Computations - on Sparse Matrices, HPSS 2011, Algorithms and Programming Tools for - Next-Generation High-Performance Scientific Software, Bordeaux, Sep. - 2011 -

-

- [22]    Cardellini, V., Filippone, S., and Rouson, D. 2014, Design patterns - for sparse-matrix computations on hybrid CPU/GPU platforms, Scientific - Programming 22, 1, 1–19. -

+

+ Salvatore Filippone
+Alfredo Buttari
+Fabio Durastante

-

- [23]   D. Barbieri, V. Cardellini, A. Fanfarillo, S. Filippone, Three storage - formats for sparse matrices on GPGPUs, Tech. Rep. DICII RR-15.6, - Universit di Roma Tor Vergata (February 2015). -

-

- [24]   S. Filippone, V. Cardellini, D. Barbieri, and A. Fanfarillo. Sparse - matrix-vector multiplication on GPGPUs. ACM Trans. Math. Softw., - 43(4):30:1–30:49, 2017. -

-
-

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-

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+

diff --git a/docs/html/userhtmlli3.html b/docs/html/userhtmlli3.html new file mode 100644 index 000000000..65fca4c3d --- /dev/null +++ b/docs/html/userhtmlli3.html @@ -0,0 +1,225 @@ + + +References + + + + + + + +

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

+

References

+

+

+

+ [1]   G. Bella, S. Filippone, A. De Maio and M. Testa, A Simulation Model + for Forest Fires, in J. Dongarra, K. Madsen, J. Wasniewski, editors, + Proceedings of PARA 04 Workshop on State of the Art in Scientific + Computing, pp. 546–553, Lecture Notes in Computer Science, Springer, + 2005. +

+

+ [2]   D. Bertaccini and S. Filippone, Sparse approximate + inverse preconditioners on high performance GPU platforms, Comput. Math. + Appl., 71, (2016), no. 3, 693–711. +

+

+ [3]   A. Buttari, D. di Serafino, P. D’Ambra, S. Filippone, 2LEV-D2P4: + a package of high-performance preconditioners, Applicable Algebra in + Engineering, Communications and Computing, Volume 18, Number 3, + May, 2007, pp. 223-239 +

+

+ [4]   P. D’Ambra, S. Filippone, D. Di Serafino On the Development of + PSBLAS-based Parallel Two-level Schwarz Preconditioners Applied + Numerical Mathematics, Elsevier Science, Volume 57, Issues 11-12, + November-December 2007, Pages 1181-1196. +

+

+ [5]   Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R., An + Extended Set of Fortran Basic Linear Algebra Subprograms, ACM Trans. + Math. Softw. vol. 14, 1–17, 1988. +

+

+ [6]   Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I., A Set of level + 3 Basic Linear Algebra Subprograms, ACM Trans. Math. Softw. vol. 16, + 1–17, 1990. + + + +

+

+ [7]   J. J. Dongarra and R. C. Whaley, A User’s Guide to the BLACS + v. 1.1, Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of + Tennessee, March 1995 (updated May 1997). +

+

+ [8]   I. Duff, M. Marrone, G. Radicati and C. Vittoli, Level 3 Basic Linear + Algebra Subprograms for Sparse Matrices: a User Level Interface, ACM + Transactions on Mathematical Software, 23(3), pp. 379–401, 1997. +

+

+ [9]   I. Duff, M. Heroux and R. Pozo, An Overview of the Sparse Basic Linear + Algebra Subprograms: the New Standard from the BLAS Technical Forum, ACM + Transactions on Mathematical Software, 28(2), pp. 239–267, 2002. +

+

+ [10]   S. Filippone and M. Colajanni, PSBLAS: A Library for Parallel + Linear Algebra Computation on Sparse Matrices, ACM Transactions on + Mathematical Software, 26(4), pp. 527–550, 2000. +

+

+ [11]   S. Filippone and A. Buttari, Object-Oriented Techniques for Sparse + Matrix Computations in Fortran 2003, ACM Transactions on Mathematical + Software, 38(4), 2012. +

+

+ [12]   S. Filippone, P. D’Ambra, M. Colajanni, Using a Parallel Library of + Sparse Linear Algebra in a Fluid Dynamics Applications Code on Linux + Clusters, in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, + Parallel Computing - Advances & Current Issues, pp. 441–448, Imperial + College Press, 2002. +

+

+ [13]    Gamma, E., Helm, R., Johnson, R., and Vlissides, J. 1995. Design + Patterns: Elements of Reusable Object-Oriented Software. Addison-Wesley. +

+

+ [14]   Karypis, G. and Kumar, V., METIS: Unstructured Graph Partitioning + and Sparse Matrix Ordering System. Minneapolis, MN 55455: University + of Minnesota, Department of Computer Science, 1995. Internet Address: + http://www.cs.umn.edu/~karypis. + + + +

+

+ [15]   Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., Basic Linear + Algebra Subprograms for Fortran usage, ACM Trans. Math. Softw. vol. 5, + 38–329, 1979. +

+

+ [16]   Machiels, L. and Deville, M. Fortran 90: An entry to object-oriented + programming for the solution of partial differential equations. ACM Trans. + Math. Softw. vol. 23, 32–49. +

+

+ [17]   Metcalf, M., Reid, J., Cohen, M., Bader, R. Modern Fortran explained. + Oxford University Press, 2024. +

+

+ [18]   Metcalf, M., Reid, J. and Cohen, M. Modern Fortran explained. Oxford + University Press, 2011. +

+

+ [19]   Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The + Object-Oriented Way. Cambridge University Press (2011) +

+

+ [20]   M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, + MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, MIT + Press, 1998. +

+

+ [21]   D. Barbieri, V. Cardellini, + S. Filippone and D. Rouson Design Patterns for Scientific Computations + on Sparse Matrices, HPSS 2011, Algorithms and Programming Tools for + Next-Generation High-Performance Scientific Software, Bordeaux, Sep. + 2011 +

+

+ [22]    Cardellini, V., Filippone, S., and Rouson, D. 2014, Design patterns + for sparse-matrix computations on hybrid CPU/GPU platforms, Scientific + Programming 22, 1, 1–19. +

+ + + +

+ [23]   D. Barbieri, V. Cardellini, A. Fanfarillo, S. Filippone, Three storage + formats for sparse matrices on GPGPUs, Tech. Rep. DICII RR-15.6, + Universit di Roma Tor Vergata (February 2015). +

+

+ [24]   S. Filippone, V. Cardellini, D. Barbieri, and A. Fanfarillo. Sparse + matrix-vector multiplication on GPGPUs. ACM Trans. Math. Softw., + 43(4):30:1–30:49, 2017. +

+
+ + + +

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+

+ diff --git a/docs/html/userhtmlse1.html b/docs/html/userhtmlse1.html index d442f68ea..6bc82e3c0 100644 --- a/docs/html/userhtmlse1.html +++ b/docs/html/userhtmlse1.html @@ -10,15 +10,15 @@ -

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1 Introduction

-

The PSBLAS library, developed with the aim to facilitate the parallelization of + id="x4-30001">Introduction +

The PSBLAS library, developed with the aim to facilitate the parallelization of computationally intensive scientific applications, is designed to address parallel implementation of iterative solvers for sparse linear systems through the distributed memory paradigm. It includes routines for multiplying sparse @@ -27,37 +27,38 @@ diagonal entries, preprocessing sparse matrices, and contains additional routines for dense matrix operations. The current implementation of PSBLAS addresses a distributed memory execution model operating with message passing. -

The PSBLAS library version 3 is implemented in the Fortran 2003 [17] +

The PSBLAS library version 3 is implemented in the Fortran 2008 [17] programming language, with reuse and/or adaptation of existing Fortran 77 and Fortran 95 software, plus a handful of C routines. -

The use of Fortran 2003 offers a number of advantages over Fortran 95, mostly +

The use of Fortran 2008 offers a number of advantages over Fortran 95, mostly in the handling of requirements for evolution and adaptation of the library to new computing architectures and integration of new algorithms. For a detailed discussion of our design see [11]; other works discussing advanced programming in -Fortran 2003 include [21, 19]; sufficient support for Fortran 2003 is now available -from many compilers, including the GNU Fortran compiler from the Free Software -Foundation (as of version 4.8). -

Previous approaches have been based on mixing Fortran 95, with its support for +href="userhtmlli3.html#XSparse03">11]; other works discussing advanced programming in +Fortran 2008 include [21, 19]; sufficient support for Fortran 2008 is now available +from many compilers, including recent versions of the GNU Fortran compiler from +the Free Software Foundation, and the FLANG compiler from the LLVM +project. +

Previous approaches have been based on mixing Fortran 95, with its support for object-based design, with other languages; these have been advocated by a number of authors, e.g. [16]. Moreover, the Fortran 95 facilities for dynamic memory +href="userhtmlli3.html#Xmachiels">16]. Moreover, the Fortran 95 facilities for dynamic memory management and interface overloading greatly enhance the usability of the PSBLAS subroutines. In this way, the library can take care of runtime memory requirements that are quite difficult or even impossible to predict at implementation or compilation time. -

The presentation of the PSBLAS library follows the general structure of the +

The presentation of the PSBLAS library follows the general structure of the proposal for serial Sparse BLAS [8, 9], which in its turn is based on the proposal for +href="userhtmlli3.html#Xsblas97">8, 9], which in its turn is based on the proposal for BLAS on dense matrices [15, 5, 6]. -

The applicability of sparse iterative solvers to many different areas causes +href="userhtmlli3.html#XBLAS1">15, 5, 6]. +

The applicability of sparse iterative solvers to many different areas causes some terminology problems because the same concept may be denoted through different names depending on the application area. The PSBLAS features presented in this document will be discussed referring to a finite @@ -66,13 +67,13 @@ the scope of the library is wider than that: for example, it can be applied to finite element discretizations of PDEs, and even to different classes of problems such as nonlinear optimization, for example in optimal control problems. -

The design of a solver for sparse linear systems is driven by many conflicting +

The design of a solver for sparse linear systems is driven by many conflicting objectives, such as limiting occupation of storage resources, exploiting regularities in the input data, exploiting hardware characteristics of the parallel platform. To -achieve an optimal communication to computation ratio on distributed memory +achieve an optimal communication to computation ratio on distributed memory machines it is essential to keep the data locality as high as possible; this can be done through an appropriate data allocation strategy. The choice of the @@ -87,12 +88,12 @@ applications. -

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-

diff --git a/docs/html/userhtmlse10.html b/docs/html/userhtmlse10.html index a5e749716..19acf9c0e 100644 --- a/docs/html/userhtmlse10.html +++ b/docs/html/userhtmlse10.html @@ -16,7 +16,7 @@ href="userhtmlse9.html#tailuserhtmlse9.html" >prev-tail] [tail] [up]

10 Preconditioner routines

+ id="x16-13600010">Preconditioner routines

The base PSBLAS library contains the implementation of some simple preconditioning techniques:

A number of subdomain solvers can be chosen with this method; a list of the parameters that can be set, along with their allowed and default values, is given in Table-21.
21.

@@ -315,7 +315,7 @@ class="pplr7t-x-x-90">suited for GPUs since they do not employtriangular system solve kernels, see [2]. @@ -450,7 +450,7 @@ class="hline">
< class="td11">

Table 21: Parameters defining the solver of the BJAC preconditioner.
+class="content">Parameters defining the solver of the BJAC preconditioner.
@@ -460,7 +460,7 @@ class="content">Parameters defining the solver of the BJAC preconditioner.10.3 build — Builds a preconditioner + id="x16-13900010.3">build — Builds a preconditioner @@ -644,7 +644,7 @@ devices, such as GPUs and other accelerators.

10.4 apply — Preconditioner application routine

+ id="x16-14000010.4">apply — Preconditioner application routine @@ -780,14 +780,15 @@ class="newline" />Intent: out.
An integer value; 0 means no error has been detected.

Notes This method is almost always called by the iterative methods of Sec. 11, and -practically never directly by the user. +class="pplb7t-x-x-120">Notes This method is almost always called by the iterative methods of +Sec. 11; it is extremely unlikely to be needed directly by the application +developer.

10.5 descr — Prints a description of current preconditioner

+ id="x16-14100010.5">descr — Prints a description of current preconditioner @@ -795,26 +796,26 @@ practically never directly by the user. call prec%descr(info) call prec%descr(info,iout, root) -

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

-

+

+

prec

-

the preconditioner. Scope:

the preconditioner. Scope: local
Type: required
psb_Tprec_type.

-

+

iout

-

output unit. Scope:

output unit. Scope: local
Type: optional
Intent: in.
Specified as: an integer number. Default: default output unit.

-

+

root

-

Process from which to print Scope:

Process from which to print Scope: local
Type: optional
- 1, in which case class="zplmr7y-">-1, in which case all processes will print. Default: 0.

-

+

On Return

-

+

-

+

info

-

Error code.

Error code.
Scope: local
Type: An integer value; 0 means no error has been detected.

10.6 clone — clone current preconditioner + id="x16-14200010.6">clone — clone current preconditioner 
 call  prec%clone(precout,info)
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

-

+

+

prec

-

the preconditioner.

the preconditioner.
Scope: local.

-

+

-

+

On Return

-

-

+

+

precout

-

A copy of the input object. +

A copy of the input object.

-

+

info

-

Return code.

+

Return code.

10.7 free — Free a preconditioner

+ id="x16-14300010.7">free — Free a preconditioner 
 call prec%free(info)
-

-

+

+

-

+

Type:

-

Asynchronous. +

Asynchronous.

-

+

On Entry

-

-

+

+

prec

-

the preconditioner.

the preconditioner.
Scope: local.
Type: psb_Tprec_type.

-

+

On Exit

-

+

-

+

prec

-

Scope:

Scope: local
Type: required
psb_Tprec_type.

-

+

info

-

Scope:

Scope: global
Type: required
Intent: out.
Error code: if no error, 0 is returned.

-

Notes Releases all internal storage.

10.8 allocate_wrk — preconditioner

+ id="x16-14400010.8">allocate_wrk — preconditioner 
 call prec%allocate_wrk(info[,vmold])
-

-

+

+

-

+

Type:

-

Synchronous. +

Synchronous.

-

+

On Entry

-

-

+

+

prec

-

the preconditioner.

the preconditioner.
Scope: local.
Type: psb_Tprec_type.

-

+

vmold

-

The desired dynamic type for the internal vector storage.

The desired dynamic type for the internal vector storage.
Scope: local.
Type: _base_vect_type.

-

+

On Exit

-

+

-

+

prec

-

Scope:

Scope: local
Type: required
_type.

-

+

info

-

Scope:

Scope: global
Type: required
Intent: out.
Error code: if no error, 0 is returned.

-

Notes Preconditioners often need internal work storage during their application at each iteration of a linear solver method: in many situations this can be accomplished by allocating and releasing memory “on the fly”. However, when running on an accelerator through e.g. the CUDA enabled data strutures of Sec. 12.4 and  13, +href="userhtmlse12.html#x20-15700012.4">12.4 and  13, memory allocation and deallocation usually have a much larger overhead, significantly affecting performance. To alleviate this problem we define this method that preallocates internal storage; it is intended to be invoked prior to the iterative solver method, so that the necessary internal work storage is available throughout the iterative method application. -

When using GPUs or other specialized devices, the vmold argument is also +

When using GPUs or other specialized devices, the vmold argument is also necessary to ensure the internal work vectors are of the appropriate dynamic type to exploit the accelerator hardware.

10.9 deallocate_wrk — preconditioner

+ id="x16-14500010.9">deallocate_wrk — preconditioner @@ -1132,26 +1133,26 @@ exploit the accelerator hardware. call prec%allocate_wrk(info) call prec%free_wrk(info) -

-

+

+

-

+

Type:

-

Synchronous. +

Synchronous.

-

+

On Entry

-

-

+

+

prec

-

the preconditioner.

the preconditioner.
Scope: local.
Type: psb_Tprec_type.

-

+

On Exit

-

+

-

+

prec

-

Scope:

Scope: local
Type: required
psb_Tprec_type.

-

+

info

-

Scope:

Scope: global
Type: required
Error code: if no error, 0 is returned.

-

Notes Deallocates preconditioner internal work storage; to be invoked after an iterative solver has completed execution, see the discussion in Sec. 10.8. +href="#x16-14400010.8">10.8. diff --git a/docs/html/userhtmlse11.html b/docs/html/userhtmlse11.html index f64e49a68..92f9eb90d 100644 --- a/docs/html/userhtmlse11.html +++ b/docs/html/userhtmlse11.html @@ -16,7 +16,7 @@ href="userhtmlse10.html#tailuserhtmlse10.html" >prev-tail] [tail] [up]

11 Iterative Methods

+ id="x18-14600011">Iterative Methods

In this chapter we provide routines for preconditioners and iterative methods. The interfaces for iterative methods are available in the module psb_linsolve_mod. @@ -24,7 +24,7 @@ class="cmtt-10">psb_linsolve_mod.

11.1 psb_krylov — Krylov Methods Driver Routine

+ id="x18-14700011.1">psb_krylov — Krylov Methods Driver Routine

This subroutine is a driver that provides a general interface for all the Krylov-Subspace family methods implemented in PSBLAS version 2.

The stopping criterion can take the following values: @@ -83,7 +83,7 @@ iteration. 

call psb_krylov(,info,& 
    
 class="pplb7t-">FCG: 

          
the Flexible Conjugate Gradient method5 ;
+href="userhtml19.html#fn5x0">5 ;
          

          

      An integer value; 0 means no error has been detected.11.2     psb_richardson  — Richardson Iteration Driver Routine
+ id="x18-14800011.2">psb_richardson  — Richardson Iteration Driver Routine
 
This subroutine is a driver implementig a Richardson iteration
    

 i-th
 iteration.
    
    
call psb_richardson(,info,& 
    prev-tail] [tail] [up] 

    
12     Extensions

+ id="x20-14900012">Extensions
 
The EXT, CUDA and RSB subdirectories contains a set of extensions to the base
 library. The extensions provide additional storage formats beyond the ones already
 contained in the base library, as well as interfaces to:
@@ -42,14 +42,14 @@ class="cmtt-10">http://sourceforge.net/projects/librsb/,  for  comput
      multicore parallel machines.
 
The infrastructure laid out in the base library to allow for these extensions is detailed in
 the references [21, 22, 11]; the CUDA-specific data formats are described
+href="userhtmlli3.html#XDesPat:11">21, 22, 11]; the CUDA-specific data formats are described
 in [23].
+href="userhtmlli3.html#XOurTechRep">23].
 

    
12.1     Using the extensions

+ id="x20-15000012.1">Using the extensions
 
A sample application using the PSBLAS extensions will contain the following
 steps:
      
    
@@ -142,31 +142,31 @@ speed of the sparse matrix-vector product with the various data structures inclu
 in the library.
 
    
    
    12.2     Extensions’ Data Structures
    
+ id="x20-15100012.2">Extensions’ Data Structures
 
    Access to the facilities provided by the EXT library is mainly achieved through
 the data types that are provided within. The data classes are derived from
 the base classes in PSBLAS, through the Fortran 2003 mechanism of type
 extension [18].
+href="userhtmlli3.html#XMRC:11">18].
 
       The data classes are divided between the general purpose CPU extensions, the
 GPU interfaces and the RSB interfaces. In the description we will make use of the
 notation introduced in Table 22.
+href="#x20-151001r22">22.
    
    
                                                                   
 
                                                                   
 
       
    
                                                                   
 
                                                                   
  
    Table 22: Notation for parameters describing a sparse matrix
    
+class="content">Notation for parameters describing a sparse matrix
    
 
    
 
    
@@ -276,7 +276,7 @@ class="td11">         
 
                                                                   
 
+ id="x20-151002r5">
                                                                   
 
                                                                   
@@ -285,18 +285,18 @@ src="mat.png" alt="PIC"
 width="147" height="147" >
 
     
    Figure 5: Example of sparse matrix
    
+class="content">Example of sparse matrix
    
                                                                   
 
                                                                   
 
       
    
    
    12.3     CPU-class extensions
    
+ id="x20-15200012.3">CPU-class extensions
 
    
    
    ELLPACK
    
+ id="x20-153000">ELLPACK
 
    The ELLPACK/ITPACK format (shown in Figure 6) comprises two 2-dimensional
+href="#x20-153001r6">6) comprises two 2-dimensional
 arrays AS and JA with 
+ id="x20-153001r6">
                                                                   
 
                                                                   
@@ -327,13 +327,13 @@ width="233" height="233" >
 
     
    Figure 6: ELLPACK compression of matrix in Figure 5
    
+href="#x20-151002r5">5
    
                                                                   
 
                                                                   
 
       
    
 
+ id="x20-153002r1">
                                                                   
 
                                                                   
@@ -344,7 +344,7 @@ href="#x19-150002r5">5
    
       i=1,n 
     t=0 
    j=1,maxnzr 
    ,j)) 
     end do 
    ) = t 
    end do
    
    
 
+ id="x20-153010r1">
 
+ id="x20-153011">
          Algorithm 1:  Matrix-Vector product in ELL format
@@ -446,7 +446,7 @@ class="zplmr7m-">y = Ax can be computed with the code shown in
 Alg. 1; it costs one memory write per outer iteration, plus three memory reads and
+href="#x20-153010r1">1; it costs one memory write per outer iteration, plus three memory reads and
 two floating-point operations per inner iteration.
 
       Unless all rows have exactly the same number of nonzeros, some of the
 coefficients in the 
 
  • 
+  class="enumerate" id="x20-153013x1">
      
    The maximum number of nonzeros per row is not much larger than the
      average;
      
    • 
 
  • 
+  class="enumerate" id="x20-153015x2">
      
    The regularity of the data structure allows for faster code, e.g. by allowing
      vectorization, thereby offsetting the additional storage requirements.
    • 
 
    In the extreme case where the input matrix has one full row, the ELLPACK
@@ -488,7 +488,7 @@ class="cmtt-10">psb_T_ell_sparse_mat:

Hacked ELLPACK
+ id="x20-154000">Hacked ELLPACK @@ -564,7 +564,7 @@ format. + id="x20-154001r7"> @@ -574,7 +574,7 @@ width="248" height="248" >
Figure 7: Hacked ELLPACK compression of matrix in Figure 5
+href="#x20-151002r5">5 @@ -601,9 +601,9 @@ class="cmtt-10">psb_T_hll_sparse_mat:

Diagonal storage
+ id="x20-155000">Diagonal storage

The DIAgonal (DIA) format (shown in Figure 8) has a 2-dimensional array 8) has a 2-dimensional array AS containing in each column the coefficients along a diagonal of the matrix, and an integer array y = Ax is shown in Alg. 2; it +href="#x20-155003r2">2; it costs one memory read per outer iteration, plus three memory reads, one memory write and two floating-point operations per inner iteration. The accesses to + id="x20-155001r8"> @@ -637,13 +637,13 @@ width="248" height="248" >

Figure 8: DIA compression of matrix in Figure 5
+href="#x20-151002r5">5

+ id="x20-155002r2"> @@ -669,9 +669,9 @@ href="#x19-150002r5">5

+ id="x20-155003r2"> + id="x20-155004"> Algorithm 2:  Matrix-Vector product in DIA format @@ -698,7 +698,7 @@ class="cmtt-10">psb_T_dia_sparse_mat:

Hacked DIA
+ id="x20-156000">Hacked DIA

Storage by DIAgonals is an attractive option for matrices whose coefficients are located on a small set of diagonals, since they do away with storing explicitly the indices and therefore reduce significantly memory traffic. However, having a few @@ -749,7 +749,7 @@ class="pplri7t-">hackOffsets[k]. + id="x20-156001r9"> @@ -759,7 +759,7 @@ width="248" height="248" >

Figure 9: Hacked DIA compression of matrix in Figure 5
+href="#x20-151002r5">5 @@ -804,7 +804,7 @@ class="cmtt-10">psb_T_hdia_sparse_mat:

12.4 CUDA-class extensions

+ id="x20-15700012.4">CUDA-class extensions

For computing with CUDA we define a dual memorization strategy in which each variable on the CPU (“host”) side has a GPU (“device”) side. When a GPU-type variable is initialized, the data contained is (usually) the same on both sides. Each diff --git a/docs/html/userhtmlse13.html b/docs/html/userhtmlse13.html index 7f3091568..79a5ae564 100644 --- a/docs/html/userhtmlse13.html +++ b/docs/html/userhtmlse13.html @@ -16,12 +16,12 @@ href="userhtmlse12.html#tailuserhtmlse12.html" >prev-tail] [tail] [up]

13 CUDA Environment Routines

+ id="x21-15800013">CUDA Environment Routines

psb_cuda_init — Initializes PSBLAS-CUDA environment

+ id="x21-159000">psb_cuda_init — Initializes PSBLAS-CUDA environment + id="Q1-21-198">

@@ -64,13 +64,13 @@ class="pplb7t-x-x-120">Notes

  1. + class="enumerate" id="x21-159002x1">

    A call to this routine must precede any other PSBLAS-CUDA call.

psb_cuda_exit — Exit from PSBLAS-CUDA environment

+ id="x21-160000">psb_cuda_exit — Exit from PSBLAS-CUDA environment + id="Q1-21-200">

@@ -106,9 +106,9 @@ class="pplb7t-">in.
Specified as: an integer variable.

psb_cuda_DeviceSync — Synchronize CUDA device

+ id="x21-161000">psb_cuda_DeviceSync — Synchronize CUDA device + id="Q1-21-202"> @@ -123,9 +123,9 @@ call psb_cuda_DeviceSync() CUDA-side code, have completed.

psb_cuda_getDeviceCount

+ id="x21-162000">psb_cuda_getDeviceCount + id="Q1-21-204">

@@ -136,14 +136,14 @@ ngpus =  psb_cuda_getDeviceCount()

Get number of devices available on current computing node.

psb_cuda_getDevice

+ id="x21-163000">psb_cuda_getDevice + id="Q1-21-206"> 

-ngpus =  psb_cuda_getDevice()
+dev =  psb_cuda_getDevice()

Get device in use by current process. @@ -152,9 +152,9 @@ ngpus =  psb_cuda_getDevice()

psb_cuda_setDevice

+ id="x21-164000">psb_cuda_setDevice + id="Q1-21-208">

@@ -165,9 +165,9 @@ info = psb_cuda_setDevice(dev)

Set device to be used by current process.

psb_cuda_DeviceHasUVA

+ id="x21-165000">psb_cuda_DeviceHasUVA + id="Q1-21-210">

@@ -178,9 +178,9 @@ hasUva = psb_cuda_DeviceHasUVA()

Returns true if device currently in use supports UVA (Unified Virtual Addressing).

psb_cuda_WarpSize

+ id="x21-166000">psb_cuda_WarpSize + id="Q1-21-212">

@@ -194,9 +194,9 @@ nw = psb_cuda_WarpSize()

psb_cuda_MultiProcessors

+ id="x21-167000">psb_cuda_MultiProcessors + id="Q1-21-214">

@@ -207,9 +207,9 @@ nmp = psb_cuda_MultiProcessors()

Returns the number of multiprocessors in the CUDA device.

psb_cuda_MaxThreadsPerMP

+ id="x21-168000">psb_cuda_MaxThreadsPerMP + id="Q1-21-216">

@@ -220,9 +220,9 @@ nt = psb_cuda_MaxThreadsPerMP()

Returns the maximum number of threads per multiprocessor.

psb_cuda_MaxRegistersPerBlock

+ id="x21-169000">psb_cuda_MaxRegistersPerBlock + id="Q1-21-218">

@@ -236,9 +236,9 @@ nr = psb_cuda_MaxRegistersPerBlock()

psb_cuda_MemoryClockRate

+ id="x21-170000">psb_cuda_MemoryClockRate + id="Q1-21-220">

@@ -249,9 +249,9 @@ cl = psb_cuda_MemoryClockRate()

Returns the memory clock rate in KHz, as an integer.

psb_cuda_MemoryBusWidth

+ id="x21-171000">psb_cuda_MemoryBusWidth + id="Q1-21-222">

@@ -262,9 +262,9 @@ nb = psb_cuda_MemoryBusWidth()

Returns the memory bus width in bits.

psb_cuda_MemoryPeakBandwidth

+ id="x21-172000">psb_cuda_MemoryPeakBandwidth + id="Q1-21-224">

@@ -282,10 +282,6 @@ bw = psb_cuda_MemoryPeakBandwidth() -

- - - diff --git a/docs/html/userhtmlse2.html b/docs/html/userhtmlse2.html index 4fce53f3b..4d1a8b9ad 100644 --- a/docs/html/userhtmlse2.html +++ b/docs/html/userhtmlse2.html @@ -10,15 +10,15 @@ -

[

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2 General overview

-

The PSBLAS library is designed to handle the implementation of iterative solvers for + id="x5-40002">General overview +

The PSBLAS library is designed to handle the implementation of iterative solvers for sparse linear systems on distributed memory parallel computers. The system coefficient matrix A must be square; it may be real or complex, nonsymmetric, and @@ -27,43 +27,43 @@ based on the serial sparse BLAS, so that any extension made to the data structur the serial kernels is available to the parallel version. The overall design and parallelization strategy have been influenced by the structure of the ScaLAPACK parallel library. The layered structure of the PSBLAS library is shown in figure 1; +href="#x5-4001r1">1; lower layers of the library indicate an encapsulation relationship with upper layers. -The ongoing discussion focuses on the Fortran 2003 layer immediately +The ongoing discussion focuses on the Fortran 2008 layer immediately below the application layer. The serial parts of the computation on each process are executed through calls to the serial sparse BLAS subroutines. In a similar way, the inter-process message exchanges are encapsulated in an applicaiton layer that has been strongly inspired by the Basic Linear Algebra Communication Subroutines (BLACS) library [7]. Usually there is no need to deal +href="userhtmlli3.html#XBLACS">7]. Usually there is no need to deal directly with MPI; however, in some cases, MPI routines are used directly to improve efficiency. For further details on our communication layer see Sec. 7. -

7. +

+ id="x5-4001r1">
-

-

+

PIC


Figure 1: PSBLAS library components hierarchy.
+class="content">PSBLAS library components hierarchy.
-

-

The type of linear system matrices that we address typically arise in +

+

The type of linear system matrices that we address typically arise in the numerical solution of PDEs; in such a context, it is necessary to pay special attention to the structure of the problem from which the application originates. The nonzero pattern of a matrix arising from the discretization of a @@ -71,7 +71,7 @@ PDE is influenced by various factors, such as the shape of the domain, the discretization strategy, and the equation/unknown ordering. The matrix itself can be interpreted as the adjacency matrix of the graph associated with the discretization mesh. -

The distribution of the coefficient matrix for the linear system is based on the +

The distribution of the coefficient matrix for the linear system is based on the “owner computes” rule: the variable associated to each mesh point is assigned to a process that will own the corresponding row in the coefficient matrix and will carry out all related computations. This allocation strategy is equivalent to a @@ -85,23 +85,23 @@ class="cmtt-10">BLOCK, as well as completely arbitrary assignments of equation indices to processes. In particular it is consistent with the usage of graph partitioning tools commonly available in the literature, e.g. METIS [14]. Dense vectors conform to sparse matrices, +href="userhtmlli3.html#XMETIS">14]. Dense vectors conform to sparse matrices, that is, the entries of a vector follow the same distribution of the matrix rows. -

We assume that the sparse matrix is built in parallel, where each process generates +

We assume that the sparse matrix is built in parallel, where each process generates its own portion. We never require that the entire matrix be available on a single node. However, it is possible to hold the entire matrix in one process and distribute it explicitly1 , +href="userhtml6.html#fn1x0">1 , even though the resulting memory bottleneck would make this option unattractive in most cases.

2.1 Basic Nomenclature

-

Our computational model implies that the data allocation on the parallel distributed + id="x5-50002.1">Basic Nomenclature +

Our computational model implies that the data allocation on the parallel distributed memory machine is guided by the structure of the physical model, and specifically by the discretization mesh of the PDE. -

Each point of the discretization mesh will have (at least) one associated +

Each point of the discretization mesh will have (at least) one associated equation/variable, and therefore one index. We say that point i depends on point sub-domains assigned to the parallel processes, we classify the points of a given sub-domain as following.

-

+

Internal.

-

An internal point of a given domain

An internal point of a given domain depends only on points of the same domain. If all points of a domain are assigned to one process, then a computational step (e.g., a matrix-vector product) of the equations @@ -131,42 +131,42 @@ class="pplri7t-">depends only on points of the same associated with the internal points requires no data items from other domains and no communications.

-

+

Boundary.

-

A point of a given domain is a boundary point if it

A point of a given domain is a boundary point if it depends on points belonging to other domains.

-

+

Halo.

-

A halo point for a given domain is a point belonging to another domain +

A halo point for a given domain is a point belonging to another domain such that there is a boundary point which depends on it. Whenever performing a computational step, such as a matrix-vector product, the values associated with halo points are requested from other domains. A boundary point of a given domain is usually a halo point for some other domain2 ; +href="userhtml7.html#fn2x0">2 ; therefore the cardinality of the boundary points set denotes the amount of data sent to other domains.

-

+

Overlap.

-

An overlap point is a boundary point assigned to multiple domains. Any +

An overlap point is a boundary point assigned to multiple domains. Any operation that involves an overlap point has to be replicated for each assignment.

-

Overlap points do not usually exist in the basic data distributions; however they are a +

Overlap points do not usually exist in the basic data distributions; however they are a feature of Domain Decomposition Schwarz preconditioners which are the subject of related research work [4, 3]. -

We denote the sets of internal, boundary and halo points for a given subdomain +href="userhtmlli3.html#X2007c">4, 3]. +

We denote the sets of internal, boundary and halo points for a given subdomain by I, |Hi|. -

+ id="x5-5003r2">
-

-

+

PIC


Figure 2: Point classfication.
+class="content">Point classfication.
-

-

This classification of mesh points guides the naming scheme that we adopted in +

+

This classification of mesh points guides the naming scheme that we adopted in the library internals and in the data structures. We explicitly note that “Halo” points are also often called “ghost” points in the literature.

2.2 Library contents

-

The PSBLAS library consists of various classes of subroutines: + id="x5-60002.2">Library contents +

The PSBLAS library consists of various classes of subroutines:

-

+

Computational routines

-

comprising: +

comprising:

  • -

    Sparse matrix by dense matrix product; +

    Sparse matrix by dense matrix product;

  • -

    Sparse triangular systems solution for block diagonal matrices; +

    Sparse triangular systems solution for block diagonal matrices;

  • -

    Vector and matrix norms; +

    Vector and matrix norms;

  • -

    Dense matrix sums; +

    Dense matrix sums;

  • -

    Dot products.

+

Dot products.

-

+

Communication routines

-

handling halo and overlap communications; +

handling halo and overlap communications;

-

+

Data management and auxiliary routines

-

including: +

including:

  • -

    Parallel environment management +

    Parallel environment management

  • -

    Communication descriptors allocation; +

    Communication descriptors allocation;

  • -

    Dense and sparse matrix allocation; +

    Dense and sparse matrix allocation;

  • -

    Dense and sparse matrix build and update; +

    Dense and sparse matrix build and update;

  • -

    Sparse matrix and data distribution preprocessing.

+

Sparse matrix and data distribution preprocessing.

-

+

Preconditioner routines

-

+

-

+

Iterative methods

-

a subset of Krylov subspace iterative methods

-

The following naming scheme has been adopted for all the symbols internally defined +

a subset of classical and Krylov subspace iterative methods +

The following naming scheme has been adopted for all the symbols internally defined in the PSBLAS software package:

  • -

    all symbols (i.e. subroutine names, data types...) are prefixed by

    all symbols (i.e. subroutine names, data types...) are prefixed by psb_

  • -

    all data type names are suffixed by

    all data type names are suffixed by _type

  • -

    all constants are suffixed by

    all constants are suffixed by _

  • -

    all top-level subroutine names follow the rule

    all top-level subroutine names follow the rule psb_xxname where xx can be either:

    • -

      ge: the routine is related to dense data,

    • -

      sp: the routine is related to sparse data,

    • -

      cd: the routine is related to communication descriptor (see 3).

    +href="userhtmlse3.html#x9-100003">3).
-

For example the

For example the psb_geins, psb_spins and psb_cdins perform the same action (see 6) on dense matrices, sparse matrices and communication +href="userhtmlse6.html#x12-780006">6) on dense matrices, sparse matrices and communication descriptors respectively. Interface overloading allows the usage of the same subroutine names for both real and complex data. -

In the description of the subroutines, arguments or argument entries are classified +

In the description of the subroutines, arguments or argument entries are classified as:

-

+

global

-

For input arguments, the value must be the same on all processes +

For input arguments, the value must be the same on all processes participating in the subroutine call; for output arguments the value is guaranteed to be the same.

-

+

local

-

Each process has its own value(s) independently.

-

To finish our general description, we define a version string with the constant +

Each process has its own value(s) independently. +

To finish our general description, we define a version string with the constant

psb_version_string_
-

whose current value is

whose current value is 3.9.0 -

+

2.3 Application structure

-

The main underlying principle of the PSBLAS library is that the library objects are + id="x5-70002.3">Application structure +

The main underlying principle of the PSBLAS library is that the library objects are created and exist with reference to a discretized space to which there corresponds an index space and a matrix sparsity pattern. As an example, consider a cell-centered finite-volume discretization of the Navier-Stokes equations on a @@ -375,13 +375,13 @@ class="zplmr7m-">n is isomorphic to the set of cell centers, whereas the pattern of the associated linear system matrix is isomorphic to the adjacency graph imposed on the discretization mesh by the discretization stencil. -

Thus the first order of business is to establish an index space, and this is done +

Thus the first order of business is to establish an index space, and this is done with a call to psb_cdall in which we specify the size of the index space n and the allocation of the elements of the index space to the various processes making up the MPI (virtual) parallel machine. -

The index space is partitioned among processes, and this creates a mapping from +

The index space is partitioned among processes, and this creates a mapping from the “global” numbering 1…n to a numbering “local” to each process; each process

For a given index space 1

For a given index space 1…n there are many possible associated topologies, i.e. many different discretization stencils; thus the description of the index space is not @@ -430,99 +430,99 @@ class="zplmr7m-">A, and thus they have to be fetched from (neighbouring) processes. The descriptor of the index space is built exactly for the purpose of properly sequencing the communication steps required to achieve this objective. -

A simple application structure will walk through the index space allocation, +

A simple application structure will walk through the index space allocation, matrix/vector creation and linear system solution as follows:

  1. -

    Initialize parallel environment with +

    Initialize parallel environment with psb_init;

  2. -

    Initialize index space with +

    Initialize index space with psb_cdall;

  3. -

    Allocate sparse matrix and dense vectors with +

    Allocate sparse matrix and dense vectors with psb_spall and psb_geall;

  4. -

    Loop over all local rows, generate matrix and vector entries, and insert + class="enumerate" id="x5-7008x4"> +

    Loop over all local rows, generate matrix and vector entries, and insert them with psb_spins and psb_geins

  5. -

    Assemble the various entities: + class="enumerate" id="x5-7010x5"> +

    Assemble the various entities:

    1. -

      +

      psb_cdasb,

    2. -

      +

      psb_spasb,

    3. -

      +

      psb_geasb;

  6. -

    Choose the preconditioner to be used with +

    Choose the preconditioner to be used with prec%init and prec%set, and build it with prec%build3 ; +href="userhtml8.html#fn3x0">3 ;

  7. -

    Call one of the iterative drivers with the method of choice, e.g. +

    Call one of the iterative drivers with the method of choice, e.g. psb_krylov with bicgstab.

-

This is the structure of the sample programs in the directory

This is the structure of the sample programs in the directory test/pargen/. -

For a simulation in which the same discretization mesh is used over multiple +

For a simulation in which the same discretization mesh is used over multiple time steps, the following structure may be more appropriate:

  1. -

    Initialize parallel environment with +

    Initialize parallel environment with psb_init

  2. -

    Initialize index space with +

    Initialize index space with psb_cdall

  3. -

    Loop over the topology of the discretization mesh and build the + class="enumerate" id="x5-7028x3"> +

    Loop over the topology of the discretization mesh and build the descriptor with psb_cdins;

  4. -

    Assemble the descriptor with +

    Assemble the descriptor with psb_cdasb;

  5. -

    Allocate the sparse matrices and dense vectors with; +

    Allocate the sparse matrices and dense vectors with; psb_spall and psb_geall; @@ -531,57 +531,57 @@ class="cmtt-10">psb_geall;

  6. -

    Loop over the time steps: + class="enumerate" id="x5-7034x6"> +

    Loop over the time steps:

    1. -

      If after first time step, reinitialize the sparse matrix with +

      If after first time step, reinitialize the sparse matrix with psb_sprn; also zero out the dense vectors;

    2. -

      Loop over the mesh, generate the coefficients and insert/update + class="enumerate" id="x5-7038x2"> +

      Loop over the mesh, generate the coefficients and insert/update them with psb_spins and psb_geins;

    3. -

      Assemble with +

      Assemble with psb_spasb and psb_geasb;

    4. -

      + class="enumerate" id="x5-7042x4"> +

    5. -

      Choose the preconditioner to be used with +

      Choose the preconditioner to be used with prec%init and prec%set, and build it with prec%build;

    6. -

      Call one of the iterative drivers with the method of choice, e.g. + class="enumerate" id="x5-7046x6"> +

      Call one of the iterative drivers with the method of choice, e.g. psb_krylov with bicgstab.

-

The insertion routines will be called as many times as needed; they only need to be +

The insertion routines will be called as many times as needed; they only need to be called on the data that is actually allocated to the current process, i.e. each process generates its own data. -

In principle there is no specific order in the calls to

In principle there is no specific order in the calls to psb_spins, nor is there a requirement to build a matrix row in its entirety before calling the routine; this allows the application programmer to walk through the discretization mesh element by element, generating the main part of a given matrix row but also contributions to the rows corresponding to neighbouring elements. -

From a functional point of view it is even possible to execute one call for each +

From a functional point of view it is even possible to execute one call for each nonzero coefficient; however this would have a substantial computational overhead. It is therefore advisable to pack a certain amount of data into each call to the insertion routine, say touching on a few tens of rows; the best @@ -595,23 +595,23 @@ process and pass it in a single call to psb_spins; this, however, would entail a doubling of memory occupation, and thus would be almost always far from optimal. -

+

2.3.1 User-defined index mappings
-

PSBLAS supports user-defined global to local index mappings, subject to the + id="x5-80002.3.1">User-defined index mappings +

PSBLAS supports user-defined global to local index mappings, subject to the constraints outlined in sec. 2.3: +href="#x5-70002.3">2.3:

  1. -

    The set of indices owned locally must be mapped to the set 1 +

    The set of indices owned locally must be mapped to the set 1…nrowi;

  2. -

    The set of halo points must be mapped to the set +

    The set of halo points must be mapped to the set nrowi + 1…ncol i;

-

but otherwise the mapping is arbitrary. The user application is responsible to ensure +

but otherwise the mapping is arbitrary. The user application is responsible to ensure consistency of this mapping; some errors may be caught by the library, but this is not guaranteed. The application structure to support this usage is as follows:

  1. -

    Initialize index + class="enumerate" id="x5-8006x1"> +

    Initialize index space with psb_cdall(ictx,desc,info,vl=vl,lidx=lidx) passing the vectors vl(:) containing the set of global indices class="cmtt-10">lidx(:) containing the corresponding local indices;

  2. -

    Add the halo points +

    Add the halo points ja(:) and their associated local indices lidx(:) with a(some) call(s) to psb_cdins(nz,ja,desc,info,lidx=lidx);

  3. -

    Assemble the descriptor with +

    Assemble the descriptor with psb_cdasb;

  4. + class="enumerate" id="x5-8012x4"> -

    Build the sparse matrices and vectors, optionally making use in +

    Build the sparse matrices and vectors, optionally making use in psb_spins and psb_geins of the local argument specifying that the class="cmtt-10">ia, ja and irw, respectively, are already local indices.

-

+

2.4 Programming model

-

The PSBLAS librarary is based on the Single Program Multiple Data (SPMD) + id="x5-90002.4">Programming model +

The PSBLAS librarary is based on the Single Program Multiple Data (SPMD) programming model: each process participating in the computation performs the same actions on a chunk of data. Parallelism is thus data-driven. -

Because of this structure, many subroutines coordinate their action across the +

Because of this structure, many subroutines coordinate their action across the various processes, thus providing an implicit synchronization point, and therefore must be called simultaneously by all processes participating in the computation. This is certainly true for the data allocation and assembly routines, for all the computational routines and for some of the tools routines. -

However there are many cases where no synchronization, and indeed no +

However there are many cases where no synchronization, and indeed no communication among processes, is implied; for instance, all the routines in sec. 3 +href="userhtmlse3.html#x9-100003">3 are only acting on the local data structures, and thus may be called independently. The most important case is that of the coefficient insertion routines: since the number of coefficients in the sparse and dense matrices varies among the processors, and since the user is free to choose an arbitrary order in builiding the matrix entries, these routines cannot imply a synchronization. -

Throughout this user’s guide each subroutine will be clearly indicated +

Throughout this user’s guide each subroutine will be clearly indicated as:

-

+

Synchronous:

-

must be called simultaneously by all the processes in the relevant +

must be called simultaneously by all the processes in the relevant communication context;

-

+

Asynchronous:

-

may be called in a totally independent manner.

+

may be called in a totally independent manner. diff --git a/docs/html/userhtmlse3.html b/docs/html/userhtmlse3.html index 8e8ea5b05..3c6a86a70 100644 --- a/docs/html/userhtmlse3.html +++ b/docs/html/userhtmlse3.html @@ -17,7 +17,7 @@ href="userhtmlse2.html#tailuserhtmlse2.html" >prev-tail] [tail] [up]

3 Data Structures and Classes

+ id="x9-100003">Data Structures and Classes

In this chapter we illustrate the data structures used for definition of routines interfaces. They include data structures for sparse matrices, communication descriptors and preconditioners. @@ -93,7 +93,7 @@ not needed by the end-user, and therefore are described in the developer’s documentation.

3.1 Descriptor data structure

+ id="x9-110003.1">Descriptor data structure

All the general matrix informations and elements to be exchanged among processes are stored within a data structure of the type

The data structure itself psb_desc_type can be treated as an opaque object handled via the tools routines of Sec. 6 or the query routines detailed below; +href="userhtmlse6.html#x12-780006">6 or the query routines detailed below; nevertheless we include here a description for the curious reader.

First we describe the psb_indx_map type. This is a data structure that keeps track of a certain number of basic issues such as: @@ -155,7 +155,7 @@ communication among processes, and thus is a synchronous method. The choice of a specific dynamic type for the index map is made at the time the descriptor is initially allocated, according to the mode of initialization (see also 6). +href="userhtmlse6.html#x12-780006">6).

The descriptor contents are as follows:

@@ -179,26 +179,26 @@ class="description">

  1. + class="enumerate" id="x9-11002x1">

    Process identifier;

  2. + class="enumerate" id="x9-11004x2">

    Number of points to be received;

  3. + class="enumerate" id="x9-11006x3">

    Indices of points to be received;

  4. + class="enumerate" id="x9-11008x4">

    Number of points to be sent;

  5. + class="enumerate" id="x9-11010x5">

    Indices of points to be sent;

Specified as: a vector of integer type, see 3.3. +href="#x9-470003.3">3.3.

A list of element indices to be exchanged to implement the mapping between a base descriptor and a descriptor with overlap.
Specified as: a vector of integer type, see 3.3. +href="#x9-470003.3">3.3.

the previous vector:

  1. + class="enumerate" id="x9-11012x1">

    Process identifier;

  2. + class="enumerate" id="x9-11014x2">

    Number of points to be received;

  3. + class="enumerate" id="x9-11016x3">

    Indices of points to be received;

  4. + class="enumerate" id="x9-11018x4">

    Number of points to be sent;

  5. + class="enumerate" id="x9-11020x5">

    Indices of points to be sent;

Specified as: a vector of integer type, see 3.3. +href="#x9-470003.3">3.3.

A list to retrieve the value of each overlap element from the respective master process.
Specified as: a vector of integer type, see 3.3. +href="#x9-470003.3">3.3.

For all overlap points belonging to th ecurrent process:

  1. + class="enumerate" id="x9-11022x1">

    Overlap point index;

  2. + class="enumerate" id="x9-11024x2">

    Number of processes sharing that overlap points;

  3. + class="enumerate" id="x9-11026x3">

    Index of a “master” process:

Specified as: an allocatable integer array of rank two.

@@ -283,7 +283,7 @@ class="description"> processes.

The Fortran 2003 declaration for psb_desc_type structures is as follows:

@@ -306,7 +306,7 @@ end type psb_desc_type
Listing 1: The PSBLAS defined data type that contains the communication -descriptor.
+descriptor.
@@ -330,10 +330,10 @@ class="description"> sparse matrix, such as matrix-vector products, are only possible in this state.
3.1.1 Descriptor Methods
+ id="x9-120003.1.1">Descriptor Methods

3.1.2 get_local_rows — Get number of local rows
+ id="x9-130003.1.2">get_local_rows — Get number of local rows @@ -377,7 +377,7 @@ class="pplb7t-">Function value

The number of local rows, i.e. the number of rows owned by the current process; as explained in 1, it is equal to 1, it is equal to |Ii|. The returned value is specific to the calling process.

3.1.3 get_local_cols — Get number of local cols
+ id="x9-140003.1.3">get_local_cols — Get number of local cols @@ -434,7 +434,7 @@ class="pplb7t-">Function value

The number of local cols, i.e. the number of indices used by the current process, including both local and halo indices; as explained in 1, it is +href="userhtmlse1.html#x4-30001">1, it is equal to |I|. The returned value is specific to the calling process.

3.1.4 get_global_rows — Get number of global rows
+ id="x9-150003.1.4">get_global_rows — Get number of global rows @@ -498,7 +498,7 @@ class="description">

The number of global rows, i.e. the size of the global index space.

3.1.5 get_global_cols — Get number of global cols
+ id="x9-160003.1.5">get_global_cols — Get number of global cols @@ -544,7 +544,7 @@ class="description"> rows.

3.1.6 get_global_indices — Get vector of global indices
+ id="x9-170003.1.6">get_global_indices — Get vector of global indices @@ -603,7 +603,7 @@ class="description"> psb_lpk_ and rank 1.

3.1.7 get_context — Get communication context
+ id="x9-180003.1.7">get_context — Get communication context @@ -648,7 +648,7 @@ class="description">

The communication context.

3.1.8 Clone — clone current object
+ id="x9-190003.1.8">Clone — clone current object @@ -699,7 +699,7 @@ class="description">

Return code.

3.1.9 CNV — convert internal storage format
+ id="x9-200003.1.9">CNV — convert internal storage format @@ -749,7 +749,7 @@ class="cmtt-10">_type. and other accelerators.

3.1.10 psb_cd_get_hash_threshold — Get threshold for index mapping + id="x9-210003.1.10">psb_cd_get_hash_threshold — Get threshold for index mapping switch
@@ -780,7 +780,7 @@ class="description">

3.1.11 psb_cd_set_hash_threshold — Set threshold for index mapping + id="x9-220003.1.11">psb_cd_set_hash_threshold — Set threshold for index mapping switch
@@ -825,7 +825,7 @@ been initialized. Moreover the threshold must have the same value on all processes.

3.1.12 get_p_adjcncy — Get process adjacency list
+ id="x9-230003.1.12">get_p_adjcncy — Get process adjacency list @@ -856,7 +856,7 @@ class="description">

3.1.13 set_p_adjcncy — Set process adjacency list
+ id="x9-240003.1.13">set_p_adjcncy — Set process adjacency list @@ -896,7 +896,7 @@ neighbours of the current process. The availability of this information may spee the execution of the assembly call psb_cdasb.

3.1.14 fnd_owner — Find the owner process of a set of indices
+ id="x9-250003.1.14">fnd_owner — Find the owner process of a set of indices @@ -959,7 +959,7 @@ processes.

3.1.15 Named Constants
+ id="x9-260003.1.15">Named Constants

@@ -1051,7 +1051,7 @@ class="description">

3.2 Sparse Matrix class

+ id="x9-270003.2">Sparse Matrix class

The psb_Tspmat_type class contains all information about the local portion of the sparse matrix and its storage mode. Its design is based on the STATE design pattern [13] as detailed in [11]; the type declaration is shown in figure 2 where T is +href="userhtmlli3.html#XDesignPatterns">13] as detailed in [11]; the type declaration is shown in figure 2 where T is a placeholder for the data type and precision variants

@@ -1104,7 +1104,7 @@ class="cmtt-10">_mat; its specific layout can be chosen dynamically among predefined types, or an entirely new storage layout can be implemented and passed to the library at runtime via the psb_spasb routine.

@@ -1120,7 +1120,7 @@ to the library at runtime via the

Listing 2: The PSBLAS defined data type that contains a sparse matrix.
+class="content"> The PSBLAS defined data type that contains a sparse matrix.
@@ -1185,10 +1185,10 @@ class="description">

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
+ id="x9-280003.2.1">Sparse Matrix Methods

3.2.2 get_nrows — Get number of rows in a sparse matrix
+ id="x9-290003.2.2">get_nrows — Get number of rows in a sparse matrix @@ -1233,7 +1233,7 @@ class="description">

The number of rows of sparse matrix a.

3.2.3 get_ncols — Get number of columns in a sparse matrix
+ id="x9-300003.2.3">get_ncols — Get number of columns in a sparse matrix @@ -1278,7 +1278,7 @@ class="description">

The number of columns of sparse matrix a.

3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix
+ id="x9-310003.2.4">get_nnzeros — Get number of nonzero elements in a sparse matrix @@ -1325,13 +1325,13 @@ class="description"> class="pplb7t-">Notes
  1. + class="enumerate" id="x9-31002x1">

    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 + id="x9-320003.2.5">get_size — Get maximum number of nonzero elements in a sparse matrix
@@ -1378,7 +1378,7 @@ class="description"> matrix a using its current memory allocation.

3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix
+ id="x9-330003.2.6">sizeof — Get memory occupation in bytes of a sparse matrix @@ -1423,7 +1423,7 @@ class="description">

The memory occupation in bytes.

3.2.7 get_fmt — Short description of the dynamic type
+ id="x9-340003.2.7">get_fmt — Short description of the dynamic type

write(*,*) a%get_fmt()

@@ -1466,7 +1466,7 @@ class="description"> values include NULL, COO, CSR and CSC.

3.2.8 is_bld, is_upd, is_asb — Status check
+ id="x9-350003.2.8">is_bld, is_upd, is_asb — Status check

if (a%is_bld()) then
if (a%is_upd()) then
if (a%is_asb()) then @@ -1511,7 +1511,7 @@ class="description"> Assembled state, respectively.

3.2.9 is_lower, is_upper, is_triangle, is_unit — Format check
+ id="x9-360003.2.9">is_lower, is_upper, is_triangle, is_unit — Format check @@ -1561,7 +1561,7 @@ class="description"> unit (i.e. assumed) diagonal.

3.2.10 cscnv — Convert to a different storage format
+ id="x9-370003.2.10">cscnv — Convert to a different storage format @@ -1641,7 +1641,7 @@ class="description"> and other accelerators.

3.2.11 csclip — Reduce to a submatrix
+ id="x9-380003.2.11">csclip — Reduce to a submatrix @@ -1712,7 +1712,7 @@ class="description">

Return code.

3.2.12 clean_zeros — Eliminate zero coefficients
+ id="x9-390003.2.12">clean_zeros — Eliminate zero coefficients

call a%clean_zeros(info)

Eliminates zero coefficients explicitly stored in the input matrix.

@@ -1765,17 +1765,17 @@ class="description"> class="pplb7t-">Notes

  1. + class="enumerate" id="x9-39002x1">

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

  2. + class="enumerate" id="x9-39004x2">

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

3.2.13 get_diag — Get main diagonal
+ id="x9-400003.2.13">get_diag — Get main diagonal

call a%get_diag(d,info)

Returns a copy of the main diagonal.

@@ -1825,7 +1825,7 @@ class="description">

Return code.

3.2.14 clip_diag — Cut out main diagonal
+ id="x9-410003.2.14">clip_diag — Cut out main diagonal

call a%clip_diag(b,info)

Returns a copy of a without the main diagonal.

@@ -1875,7 +1875,7 @@ class="description">

Return code.

3.2.15 tril — Return the lower triangle
+ id="x9-420003.2.15">tril — Return the lower triangle @@ -1961,7 +1961,7 @@ class="description">

Return code.

3.2.16 triu — Return the upper triangle
+ id="x9-430003.2.16">triu — Return the upper triangle @@ -2047,7 +2047,7 @@ class="description">

Return code.

3.2.17 psb_set_mat_default — Set default storage format
+ id="x9-440003.2.17">psb_set_mat_default — Set default storage format

call psb_set_mat_default(a)

@@ -2075,7 +2075,7 @@ class="newline" />Type: required.

3.2.18 clone — Clone current object
+ id="x9-450003.2.18">clone — Clone current object

call a%clone(b,info)

@@ -2120,7 +2120,7 @@ class="description">

Return code.

3.2.19 Named Constants
+ id="x9-460003.2.19">Named Constants

@@ -2182,7 +2182,7 @@ class="description"> description).

3.3 Dense Vector Data Structure

+ id="x9-470003.3">Dense Vector Data Structure

The psb_vect_type. The user will not, in general, access the vector components directly, but rather via the routines of sec. 6. Among other simple things, we define here an extraction method that +href="userhtmlse6.html#x12-780006">6. 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 3 where T is a placeholder for the data +href="#x9-47001r3">3 where T is a placeholder for the data type and precision variants

@@ -2243,7 +2243,7 @@ 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.

@@ -2264,16 +2264,16 @@ memory.


Listing 3: The PSBLAS defined data type that contains a dense vector.
+class="content"> The PSBLAS defined data type that contains a dense vector.
3.3.1 Vector Methods
+ id="x9-480003.3.1">Vector Methods

3.3.2 get_nrows — Get number of rows in a dense vector
+ id="x9-490003.3.2">get_nrows — Get number of rows in a dense vector

nr = v%get_nrows()

@@ -2312,7 +2312,7 @@ class="description">

The number of rows of dense vector v.

3.3.3 sizeof — Get memory occupation in bytes of a dense vector
+ id="x9-500003.3.3">sizeof — Get memory occupation in bytes of a dense vector

memory_size = v%sizeof()

@@ -2354,7 +2354,7 @@ class="description">

The memory occupation in bytes.

3.3.4 set — Set contents of the vector
+ id="x9-510003.3.4">set — Set contents of the vector @@ -2399,7 +2399,7 @@ class="pplb7t-">required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +href="userhtmlse4.html#x10-57001r1">1.

required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +href="userhtmlse4.html#x10-57001r1">1.

Note that a call to v%zero() is provided as a shorthand, but is equivalent to a call to v%set(zero) with the zero constant having the appropriate type and kind. @@ -2451,7 +2451,7 @@ class="pplb7t-">local

3.3.5 get_vect — Get a copy of the vector contents
+ id="x9-520003.3.5">get_vect — Get a copy of the vector contents @@ -2518,7 +2518,7 @@ class="zplmr7m-">n is

3.3.6 clone — Clone current object
+ id="x9-530003.3.6">clone — Clone current object @@ -2572,7 +2572,7 @@ class="description">

3.4 Preconditioner data structure

+ id="x9-540003.4">Preconditioner data structure

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 psb_Tprec_type data structure reported in figure 4. The psb_Tprec_type data type may contain a simple preconditioning +href="#x9-54001r4">4. The psb_Tprec_type data type may contain a simple preconditioning matrix with the associated communication descriptor. The internal preconditioner is allocated appropriately with the dynamic type corresponding to the desired preconditioner. @@ -2589,7 +2589,7 @@ preconditioner.

@@ -2607,15 +2607,15 @@ preconditioner.


Listing 4: The PSBLAS defined data type that contains a preconditioner.
+class="content">The PSBLAS defined data type that contains a preconditioner.

3.5 Heap data structure

+ id="x9-550003.5">Heap data structure

Among the tools routines of sec. 6, we have a number of sorting utilities; the heap +href="userhtmlse6.html#x12-780006">6, we have a number of sorting utilities; the heap sort is implemented in terms of heaps having the following signatures:

diff --git a/docs/html/userhtmlse4.html b/docs/html/userhtmlse4.html index ca615bb15..6f8120285 100644 --- a/docs/html/userhtmlse4.html +++ b/docs/html/userhtmlse4.html @@ -17,12 +17,12 @@ href="userhtmlse3.html#tailuserhtmlse3.html" >prev-tail] [tail] [up]

4 Computational routines

+ id="x10-560004">Computational routines

4.1 psb_geaxpby — General Dense Matrix Sum

+ id="x10-570004.1">psb_geaxpby — General Dense Matrix Sum

This subroutine is an interface to the computational kernel for dense matrix sum:

@@ -36,7 +36,7 @@ src="userhtml1x.png" alt="y ← α x+ βy

@@ -81,7 +81,7 @@ class="hline">

Table 1: Data types
+class="content">Data types
@@ -113,7 +113,7 @@ class="pplb7t-">required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +href="#x10-57001r1">1.

psb_T_vect_type containing numbers of type specified in Table 1. The +href="#x10-57001r1">1. The rank of x must be the same of y. @@ -152,7 +152,7 @@ class="pplb7t-">required
Intent: in.
Specified as: a number of the data type indicated in Table 1. +href="#x10-57001r1">1.

psb_T_vect_type containing numbers of the type indicated in Table 1. +href="#x10-57001r1">1. The rank of y must be the same of x. @@ -222,7 +222,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of the type indicated in Table 1. +href="#x10-57001r1">1.

An integer value; 0 means no error has been detected.4.2 psb_gedot — Dot Product + id="x10-580004.2">psb_gedot — Dot Product

This function computes dot product between two vectors x and y.

@@ -308,7 +308,7 @@ class="hline">

Table 2: Data types
+class="content">Data types
@@ -346,7 +346,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 2. The +href="#x10-58001r2">2. The rank of x must be the same of y. @@ -370,7 +370,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 2. The +href="#x10-58001r2">2. The rank of y must be the same of x. @@ -428,7 +428,7 @@ class="newline" />Scope: global unless the optional variable global=.false. has been specified
Specified as: a number of the data type indicated in Table 2. +href="#x10-58001r2">2.

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

  1. + class="enumerate" id="x10-58003x1">

    The computation of a global result requires a global communication, which entails a significant overhead. It may be necessary and/or advisable to compute multiple dot products at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: 

       =.false.) 
    =.false.) 
    =.false.) 
    (1:3))

    4.3 psb_gedots — Generalized Dot Product

    + id="x10-590004.3">psb_gedots — Generalized Dot Product

    This subroutine computes a series of dot products among the columns of two dense matrices x and

    @@ -603,7 +603,7 @@ class="hline">

    Table 3: Data types
    +class="content">Data types
@@ -641,7 +641,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 3. The +href="#x10-59001r3">3. The rank of x must be the same of y. @@ -665,7 +665,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 3. The +href="#x10-59001r3">3. The rank of y must be the same of x. @@ -710,7 +710,7 @@ class="newline" />Intent: out.
Specified as: a number or a rank-one array of the data type indicated in Table 2. +href="#x10-58001r2">2.

An integer value; 0 means no error has been detected.4.4 psb_normi — Infinity-Norm of Vector + id="x10-600004.4">psb_normi — Infinity-Norm of Vector

This function computes the infinity-norm of a vector x.
If psb_normi<

@@ -801,7 +801,7 @@ class="hline">

Table 4: Data types
+class="content">Data types
@@ -839,7 +839,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 4. +href="#x10-60001r4">4.

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

  1. + class="enumerate" id="x10-60003x1">

    The computation of a global result requires a global communication, which entails a significant overhead. It may be necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: 

       =.false.) 
    =.false.) 
    =.false.) 
    (1:3))

    4.5 psb_geamaxs — Generalized Infinity Norm

    + id="x10-610004.5">psb_geamaxs — Generalized Infinity Norm

    This subroutine computes a series of infinity norms on the columns of a dense matrix x: @@ -1010,7 +1010,7 @@ src="userhtml7x.png" alt="res(i) ← m ax|x(k,i)|

    @@ -1059,7 +1059,7 @@ class="hline">

    Table 5: Data types
    +class="content">Data types
@@ -1097,7 +1097,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 5. +href="#x10-61001r5">5.

An integer value; 0 means no error has been detected.4.6 psb_norm1 — 1-Norm of Vector + id="x10-620004.6">psb_norm1 — 1-Norm of Vector

This function computes the 1-norm of a vector x.
If

@@ -1225,7 +1225,7 @@ class="hline">

Table 6: Data types
+class="content">Data types
@@ -1263,7 +1263,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 6. +href="#x10-62001r6">6.

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

  1. + class="enumerate" id="x10-62003x1">

    The computation of a global result requires a global communication, which entails a significant overhead. It may be necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: 

       =.false.) 
    =.false.) 
    =.false.) 
    (1:3))

    4.7 psb_geasums — Generalized 1-Norm of Vector

    + id="x10-630004.7">psb_geasums — Generalized 1-Norm of Vector

    This subroutine computes a series of 1-norms on the columns of a dense matrix x: @@ -1449,7 +1449,7 @@ src="userhtml12x.png" alt="res(i) ← ∥re(x)∥ + ∥im(x)

    @@ -1498,7 +1498,7 @@ class="hline">

    Table 7: Data types
    +class="content">Data types @@ -1536,7 +1536,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 7. +href="#x10-63001r7">7.

    An integer value; 0 means no error has been detected.4.8 psb_norm2 — 2-Norm of Vector + id="x10-640004.8">psb_norm2 — 2-Norm of Vector

    This function computes the 2-norm of a vector x.
    If

    @@ -1666,7 +1666,7 @@ class="hline">

    Table 8: Data types
    +class="content">Data types @@ -1707,7 +1707,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 8. +href="#x10-64001r8">8.

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

    1. + class="enumerate" id="x10-64003x1">

      The computation of a global result requires a global communication, which entails a significant overhead. It may be necessary and/or advisable to compute multiple norms at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: 

         =.false.) 
    =.false.) 
    =.false.) 
    (1:3))

      4.9 psb_genrm2s — Generalized 2-Norm of Vector

      + id="x10-650004.9">psb_genrm2s — Generalized 2-Norm of Vector

      This subroutine computes a series of 2-norms on the columns of a dense matrix x: @@ -1879,7 +1879,7 @@ src="userhtml15x.png" alt="res(i) ← ∥x(:,i)∥2

      @@ -1928,7 +1928,7 @@ class="hline">

      Table 9: Data types
      +class="content">Data types @@ -1966,7 +1966,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 9. +href="#x10-65001r9">9.

      An integer value; 0 means no error has been detected.4.10 psb_norm1 — 1-Norm of Sparse Matrix + id="x10-660004.10">psb_norm1 — 1-Norm of Sparse Matrix

      This function computes the 1-norm of a matrix A:
      @@ -2044,7 +2044,7 @@ class="zplmr7m-">A

      @@ -2086,7 +2086,7 @@ class="hline">

      Table 10: Data types
      +class="content">Data types @@ -2184,7 +2184,7 @@ class="newline" />An integer value; 0 means no error has been detected.4.11 psb_normi — Infinity Norm of Sparse Matrix + id="x10-670004.11">psb_normi — Infinity Norm of Sparse Matrix

      This function computes the infinity-norm of a matrix A:
      @@ -2205,7 +2205,7 @@ class="zplmr7m-">A

      @@ -2247,7 +2247,7 @@ class="hline">

      Table 11: Data types
      +class="content">Data types @@ -2345,7 +2345,7 @@ class="newline" />An integer value; 0 means no error has been detected.4.12 psb_spmm — Sparse Matrix by Dense Matrix Product + id="x10-680004.12">psb_spmm — Sparse Matrix by Dense Matrix Product

      This subroutine computes the Sparse Matrix by Dense Matrix Product:
      @@ -2353,7 +2353,7 @@ class="equation">
      y ← αAx + βy + id="x10-68001r1"> (1)

      src="userhtml19x.png" alt=" T y ← αA x+ βy " class="math-display" > + id="x10-68002r2"> (2)

      y ← αAHx + βy + id="x10-68003r3"> (3)

      where: @@ -2411,7 +2411,7 @@ class="zplmr7m-">A

      @@ -2457,7 +2457,7 @@ class="hline">

      Table 12: Data types
      +class="content">Data types @@ -2491,7 +2491,7 @@ class="pplb7t-">required
      Intent: in.
      Specified as: a number of the data type indicated in Table 12. +href="#x10-68004r12">12.

      psb_T_vect_type containing numbers of type specified in Table 12. The +href="#x10-68004r12">12. The rank of x must be the same of y. @@ -2551,7 +2551,7 @@ class="pplb7t-">required
      Intent: in.
      Specified as: a number of the data type indicated in Table 12. +href="#x10-68004r12">12.

      psb_T_vect_type containing numbers of type specified in Table 12. The +href="#x10-68004r12">12. The rank of y must be the same of x. @@ -2606,21 +2606,21 @@ class="description"> class="pplb7t-">trans = N

      the operation is specified by equation 1 +href="#x10-68001r1">1

      trans = T

      the operation is specified by equation 2 +href="#x10-68002r2">2

      trans = C

      the operation is specified by equation 3

      +href="#x10-68003r3">3

      Scope: global
      Type: Intent: inout.
      Specified as: an array of rank one or two containing numbers of type specified in Table 12. +href="#x10-68004r12">12.

      An integer value; 0 means no error has been detected.4.13 psb_spsm — Triangular System Solve + id="x10-690004.13">psb_spsm — Triangular System Solve

      This subroutine computes the Triangular System Solve:

      @@ -2754,7 +2754,7 @@ class="newline" />

      @@ -2801,7 +2801,7 @@ class="hline">

      Table 13: Data types
      +class="content">Data types
      @@ -2833,7 +2833,7 @@ class="pplb7t-">required
      Intent: in.
      Specified as: a number of the data type indicated in Table 13. +href="#x10-69002r13">13.

      Intent: in.
      Specified as: an object type specified in  3. +href="userhtmlse3.html#x9-100003">3.

      psb_T_vect_type containing numbers of type specified in Table 13. The +href="#x10-69002r13">13. The rank of x must be the same of y. @@ -2888,7 +2888,7 @@ class="pplb7t-">required
      Intent: in.
      Specified as: a number of the data type indicated in Table 13. +href="#x10-69002r13">13. @@ -2912,7 +2912,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 13. The +href="#x10-69002r13">13. The rank of y must be the same of x. @@ -3067,7 +3067,7 @@ class="zplmr7m-">noscaling)
      Specified as: a rank one array containing numbers of the type indicated in Table 13. +href="#x10-69002r13">13.

      Intent: inout.
      Specified as: an array of rank one or two containing numbers of type specified in Table 13. +href="#x10-69002r13">13.

      An integer value; 0 means no error has been detected.4.14 psb_gemlt — Entrywise Product + id="x10-700004.14">psb_gemlt — Entrywise Product

      This function computes the entrywise product between two vectors x and

      @@ -3182,7 +3182,7 @@ class="hline">

      Table 14: Data types
      +class="content">Data types @@ -3220,7 +3220,7 @@ class="cmtt-10">_T_vect_type containing numbers of type specified in Table 2. +href="#x10-58001r2">2.

      _T_vect_type containing numbers of type specified in Table 2. +href="#x10-58001r2">2.

      _T_vect_type containing numbers of the type indicated in Table 14. +href="#x10-70001r14">14.

      An integer value; 0 means no error has been detected.4.15 psb_gediv — Entrywise Division + id="x10-710004.15">psb_gediv — Entrywise Division

      This function computes the entrywise division between two vectors x and

      @@ -3367,7 +3367,7 @@ class="hline">

      Table 15: Data types
      +class="content">Data types @@ -3405,7 +3405,7 @@ class="cmtt-10">_T_vect_type containing numbers of type specified in Table 2. +href="#x10-58001r2">2.

      _T_vect_type containing numbers of type specified in Table 2. +href="#x10-58001r2">2.

      _T_vect_type containing numbers of the type indicated in Table 14. +href="#x10-70001r14">14.

      An integer value; 0 means no error has been detected.4.16 psb_geinv — Entrywise Inversion + id="x10-720004.16">psb_geinv — Entrywise Inversion

      This function computes the entrywise inverse of a vector x and puts it into

      @@ -3569,7 +3569,7 @@ class="hline">

      Table 16: Data types
      +class="content">Data types @@ -3607,7 +3607,7 @@ class="cmtt-10">_T_vect_type containing numbers of type specified in Table 2. +href="#x10-58001r2">2.

      _T_vect_type containing numbers of the type indicated in Table 16. +href="#x10-72001r16">16.

      prev-tail] [tail] [up]

      5 Communication routines

      + id="x11-730005">Communication routines

      The routines in this chapter implement various global communication operators on vectors associated with a discretization mesh. For auxiliary communication routines not tied to a discretization space see 6. +href="userhtmlse6.html#x12-780006">6.

      5.1 psb_halo — Halo Data Communication

      + id="x11-740005.1">psb_halo — Halo Data Communication

      These subroutines gathers the values of the halo elements:

      @@ -91,7 +91,7 @@ class="hline">

      Table 17: Data types
      +class="content">Data types
      @@ -131,7 +131,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 17. +href="#x11-74001r17">17.

      Intent: inout.
      Returned as: a rank one or two array containing numbers of type specified in Table 17. +href="#x11-74001r17">17.

      out.
      An integer value that contains an error code.

      + id="x11-74002r3">

      @@ -228,11 +228,11 @@ src="try8x8.png" alt="PIC" width="32" height="32" >


      Figure 3: Sample discretization mesh.
      +class="content">Sample discretization mesh.

      Usage Example Consider the discretization mesh depicted in fig. 3, partitioned +href="#x11-74002r3">3, partitioned among two processes as shown by the dashed line; the data distribution is such that each process will own 32 entries in the index space, with a halo made of 8 entries placed at local indices 33 through 40. If process 0 assigns an initial value of 1 @@ -842,7 +842,7 @@ class="td11">

      5.2 psb_ovrl — Overlap Update

      + id="x11-750005.2">psb_ovrl — Overlap Update

      These subroutines applies an overlap operator to the input vector:

      T.

      @@ -913,7 +913,7 @@ class="hline">

      Table 18: Data types
      +class="content">Data types
      @@ -953,7 +953,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of type specified in Table 18. +href="#x11-75001r18">18.

      Intent: inout.
      Specified as: an array of rank one or two containing numbers of type specified in Table 18. +href="#x11-75001r18">18.

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

      1. + class="enumerate" id="x11-75003x1"> @@ -1086,7 +1086,7 @@ class="pplb7t-x-x-120">Notes descriptor, no operations are performed;
      2. + class="enumerate" id="x11-75005x2">

        The operator PT performs the reduction sum of overlap elements; it is a @@ -1096,7 +1096,7 @@ class="zplmr7m-x-x-76">T that replicates overlap elements, accounti for the physical replication of data;

      3. + class="enumerate" id="x11-75007x3">

        The operator Pa performs a scaling on the overlap elements by the @@ -1109,7 +1109,7 @@ class="zplmr7m-x-x-76">a performs a scaling on the overlap el + id="x11-75008r4"> @@ -1121,17 +1121,17 @@ src="try8x8_ov.png" alt="PIC" width="46" height="46" >

        Figure 4: Sample discretization mesh.
        +class="content">Sample discretization mesh.

        Example of use Consider the discretization mesh depicted in fig. 4, partitioned +href="#x11-75008r4">4, partitioned among two processes as shown by the dashed lines, with an overlap of 1 extra layer with respect to the partition of fig. 3; the data distribution is such that +href="#x11-74002r3">3; the data distribution is such that each process will own 40 entries in the index space, with an overlap of 16 entries placed at local indices 25 through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to @@ -1853,7 +1853,7 @@ class="td11">

        5.3 psb_gather — Gather Global Dense Matrix

        + id="x11-760005.3">psb_gather — Gather Global Dense Matrix

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

        @@ -1896,7 +1896,7 @@ class="description">

        @@ -1944,7 +1944,7 @@ class="hline">

        Table 19: Data types
        +class="content">Data types
        @@ -1986,7 +1986,7 @@ class="cmtt-10">psb_T_vect_type indicated in Table 19. +href="#x11-76001r19">19.

        An integer value; 0 means no error has been detected.5.4 psb_scatter — Scatter Global Dense Matrix + id="x11-770005.4">psb_scatter — Scatter Global Dense Matrix

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

        @@ -2112,7 +2112,7 @@ class="description">

        @@ -2160,7 +2160,7 @@ class="hline">

        Table 20: Data types
        +class="content">Data types
        @@ -2291,7 +2291,7 @@ class="cmtt-10">psb_T_vect_type containing numbers of the type indicated in Table 20. +href="#x11-77001r20">20.

        prev-tail] [tail] [up]

        6 Data management routines

        + id="x12-780006">Data management routines

        6.1 psb_cdall — Allocates a communication descriptor

        + id="x12-790006.1">psb_cdall — Allocates a communication descriptor @@ -261,7 +261,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
        1. + class="enumerate" id="x12-79002x1"> @@ -427,7 +427,7 @@ class="cmtt-10">local in calls to psb_spins and psb_geins; see also sec. 2.3.1. +href="userhtmlse2.html#x5-80002.3.1">2.3.1.

          multilevel preconditioners.

        2. + class="enumerate" id="x12-79004x2">

          On exit from this routine the descriptor is in the build state.

        3. + class="enumerate" id="x12-79006x3">

          Calling the routine with vg or parts implies that every process will scan the entire index space to figure out the local indices.

        4. + class="enumerate" id="x12-79008x4">

          Overlapped indices are possible with both parts and vl invocations. @@ -472,7 +472,7 @@ class="cmtt-10">vl invocations.

        5. + class="enumerate" id="x12-79010x5">

          When the subroutine is invoked with vl in conjunction with globalcheck=.true., @@ -480,7 +480,7 @@ class="cmtt-10">globalcheck=.true., indices.

        6. + class="enumerate" id="x12-79012x6">

          When the subroutine is invoked with vl in conjunction with vl have unpredictable.

        7. + class="enumerate" id="x12-79014x7">

          Orphan and overlap indices are impossible by construction when the subroutine is invoked with nl (alone), or vg.

        6.2 psb_cdins — Communication descriptor insert routine

        + id="x12-800006.2">psb_cdins — Communication descriptor insert routine @@ -696,25 +696,25 @@ class="zplmr7m-">nz. class="pplb7t-x-x-120">Notes
        1. + class="enumerate" id="x12-80002x1">

          This routine may only be called if the descriptor is in the build state;

        2. + class="enumerate" id="x12-80004x2">

          This routine automatically ignores edges that do not insist on the current process, i.e. edges for which neither the starting nor the end vertex belong to the current process.

        3. + class="enumerate" id="x12-80006x3">

          The second form of this routine will be useful when dealing with user-specified index mappings; see also 2.3.1.

        +href="userhtmlse2.html#x5-80002.3.1">2.3.1.

      6.3 psb_cdasb — Communication descriptor assembly routine

      + id="x12-810006.3">psb_cdasb — Communication descriptor assembly routine @@ -818,7 +818,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
      1. + class="enumerate" id="x12-81002x1">

        On exit from this routine the descriptor is in the assembled state.

      This call will set up all the necessary information for the halo data exchanges. In doing so, the library will need to identify the set of processes owning the halo indices @@ -835,7 +835,7 @@ class="cmtt-10">psb_cdasb.

      6.4 psb_cdcpy — Copies a communication descriptor

      + id="x12-820006.4">psb_cdcpy — Copies a communication descriptor @@ -920,7 +920,7 @@ class="newline" />An integer value; 0 means no error has been detected.6.5 psb_cdfree — Frees a communication descriptor + id="x12-830006.5">psb_cdfree — Frees a communication descriptor @@ -983,7 +983,7 @@ class="newline" />An integer value; 0 means no error has been detected.6.6 psb_cdbldext — Build an extended communication descriptor + id="x12-840006.6">psb_cdbldext — Build an extended communication descriptor @@ -1116,7 +1116,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
      1. + class="enumerate" id="x12-84002x1">

        Specifying psb_ovt_xhal_ for the extype argument the user will obtain @@ -1125,7 +1125,7 @@ class="cmtt-10">extype argument the user will obtain mapping is identical to that of the base descriptor;

      2. + class="enumerate" id="x12-84004x2"> @@ -1139,7 +1139,7 @@ class="cmtt-10">extype argument the user will obtain

        6.7 psb_spall — Allocates a sparse matrix

        + id="x12-850006.7">psb_spall — Allocates a sparse matrix @@ -1272,18 +1272,18 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
        1. + class="enumerate" id="x12-85002x1">

          On exit from this routine the sparse matrix is in the build state.

        2. + class="enumerate" id="x12-85004x2">

          The descriptor may be in either the build or assembled state.

        3. + class="enumerate" id="x12-85006x3">

          Providing a good estimate for the number of nonzeroes nnz in the assembled matrix may substantially improve performance in the matrix @@ -1291,7 +1291,7 @@ class="zplmr7m-">nnz in the multiple) data reallocations;

        4. + class="enumerate" id="x12-85008x4">

          Using psb_matbld_remote_ is likely to cause a runtime overhead at assembly time;

        @@ -1299,7 +1299,7 @@ class="cmtt-10">psb_matbld_remote_ is likely to cause a

        6.8 psb_spins — Insert a set of coefficients into a sparse matrix

        + id="x12-860006.8">psb_spins — Insert a set of coefficients into a sparse matrix @@ -1523,17 +1523,17 @@ class="pplb7t-x-x-120">Notes
        1. + class="enumerate" id="x12-86002x1">

          On entry to this routine the descriptor may be in either the build or assembled state.

        2. + class="enumerate" id="x12-86004x2">

          On entry to this routine the sparse matrix may be in either the build or update state.

        3. + class="enumerate" id="x12-86006x3">

          If the descriptor is in the build state, then the sparse matrix must also be in the build state; the action of the routine is to (implicitly) call psb_cdins @@ -1542,11 +1542,11 @@ class="cmtt-10">psb_cdins appropriate processing;

        4. + class="enumerate" id="x12-86008x4">

          The input data can be passed in either COO or CSR formats;

        5. + class="enumerate" id="x12-86010x5">

          In COO format the coefficients to be inserted are represented by the ordered triples ianz; these triples are arbitrary;

        6. + class="enumerate" id="x12-86012x6">

          In CSR format the coefficients to be inserted for each input row i = 1, - 1 should be one of the local indices, but are arbitrary;

        7. + class="enumerate" id="x12-86014x7">

          There is no requirement that a given row must be passed in its entirety to a single call to this routine: the buildup of a row may be split into as many calls as desired (even in the CSR format); @@ -1619,12 +1619,12 @@ class="zplmr7y-">- 1 should be one of the local indices, but are

        8. + class="enumerate" id="x12-86016x8">

          Coefficients from different rows may also be mixed up freely in a single call, according to the application needs;

        9. + class="enumerate" id="x12-86018x9">

          Coefficients from matrix rows not owned by the calling process are treated according to the value of bldmode specified at allocation time; if @@ -1634,20 +1634,20 @@ class="cmtt-10">psb_matbld_remote_ the library will keep tr of them, otherwise they are silently ignored;

        10. + class="enumerate" id="x12-86020x10">

          If the descriptor is in the assembled state, then any entries in the sparse matrix that would generate additional communication requirements are ignored;

        11. + class="enumerate" id="x12-86022x11">

          If the matrix is in the update state, any entries in positions that were not present in the original matrix are ignored.

        6.9 psb_spasb — Sparse matrix assembly routine

        + id="x12-870006.9">psb_spasb — Sparse matrix assembly routine @@ -1798,7 +1798,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
        1. + class="enumerate" id="x12-87002x1">

          On entry to this routine the descriptor must be in the assembled state, i.e. psb_cdasb must already have been called. @@ -1807,17 +1807,17 @@ class="cmtt-10">psb_cdasb must already have been called.

        2. + class="enumerate" id="x12-87004x2">

          The sparse matrix may be in either the build or update state;

        3. + class="enumerate" id="x12-87006x3">

          Duplicate entries are detected and handled in both build and update state, with the exception of the error action that is only taken in the build state, i.e. on the first assembly;

        4. + class="enumerate" id="x12-87008x4">

          If the update choice is psb_upd_perm_, then subsequent calls to psb_spins to update the matrix must be arra at the first assembly;

        5. + class="enumerate" id="x12-87010x5">

          The output storage format need not be the same on all processes;

        6. + class="enumerate" id="x12-87012x6">

          On exit from this routine the matrix is in the assembled state, and thus is suitable for the computational routines;

        7. + class="enumerate" id="x12-87014x7">

          If the bldmode=psb_matbld_remote_ value was specified at allocation time, contributions defined on the current process but belonging to a @@ -1848,7 +1848,7 @@ class="cmtt-10">dupl=psb_dupl_add_; it is necessary

          6.10 psb_spfree — Frees a sparse matrix

          + id="x12-880006.10">psb_spfree — Frees a sparse matrix @@ -1931,7 +1931,7 @@ class="newline" />An integer value; 0 means no error has been detected.6.11 psb_sprn — Reinit sparse matrix structure for psblas routines. + id="x12-890006.11">psb_sprn — Reinit sparse matrix structure for psblas routines. @@ -2027,13 +2027,13 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-89002x1">

            On exit from this routine the sparse matrix is in the update state.

          6.12 psb_geall — Allocates a dense matrix

          + id="x12-900006.12">psb_geall — Allocates a dense matrix @@ -2190,7 +2190,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-90002x1">

            Using psb_matbld_remote_ is likely to cause a runtime overhead at assembly time;

          @@ -2198,7 +2198,7 @@ class="cmtt-10">psb_matbld_remote_ is likely to cause a

          6.13 psb_geins — Dense matrix insertion routine

          + id="x12-910006.13">psb_geins — Dense matrix insertion routine @@ -2349,18 +2349,18 @@ class="pplb7t-x-x-120">Notes
          1. + class="enumerate" id="x12-91002x1">

            Dense vectors/matrices do not have an associated state;

          2. + class="enumerate" id="x12-91004x2">

            Duplicate entries are either overwritten or added, there is no provision for raising an error condition.

          6.14 psb_geasb — Assembly a dense matrix

          + id="x12-920006.14">psb_geasb — Assembly a dense matrix @@ -2473,13 +2473,13 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-92002x1">

            On entry to this routine the descriptor must be in the assembled state, i.e. psb_cdasb must already have been called.

          2. + class="enumerate" id="x12-92004x2">

            If the bldmode=psb_matbld_remote_ value was specified at allocation time, contributions defined on the current process but belonging to a @@ -2490,7 +2490,7 @@ class="cmtt-10">dupl=psb_dupl_add_.

          6.15 psb_gefree — Frees a dense matrix

          + id="x12-930006.15">psb_gefree — Frees a dense matrix @@ -2577,7 +2577,7 @@ class="newline" />An integer value; 0 means no error has been detected.6.16 psb_gelp — Applies a left permutation to a dense matrix + id="x12-940006.16">psb_gelp — Applies a left permutation to a dense matrix @@ -2673,7 +2673,7 @@ class="newline" />An integer value; 0 means no error has been detected.6.17 psb_glob_to_loc — Global to local indices convertion + id="x12-950006.17">psb_glob_to_loc — Global to local indices convertion @@ -2815,7 +2815,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-95002x1"> @@ -2823,7 +2823,7 @@ class="pplb7t-x-x-120">Notes set to a negative number;
          2. + class="enumerate" id="x12-95004x2">

            The default Ignore means that the negative output is the only action taken on an out-of-range input.

          @@ -2831,7 +2831,7 @@ class="cmtt-10">Ignore means that the negative output

          6.18 psb_loc_to_glob — Local to global indices conversion

          + id="x12-960006.18">psb_loc_to_glob — Local to global indices conversion @@ -2959,7 +2959,7 @@ class="newline" />An integer value; 0 means no error has been detected.6.19 psb_is_owned — + id="x12-970006.19">psb_is_owned — @@ -3040,7 +3040,7 @@ class="newline" /> class="pplb7t-x-x-120">Notes
          1. + class="enumerate" id="x12-97002x1">

            This routine returns a .true. value for an index that is strictly owned by the current process, excluding the halo indices

          @@ -3048,7 +3048,7 @@ class="cmtt-10">.true. value for an index that is strictly

          6.20 psb_owned_index —

          + id="x12-980006.20">psb_owned_index — @@ -3158,7 +3158,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-98002x1">

            This routine returns a .true. value for those indices that are strictly owned by the current process, excluding the halo indices

          @@ -3166,7 +3166,7 @@ class="cmtt-10">.true. value for those indices that ar

          6.21 psb_is_local —

          + id="x12-990006.21">psb_is_local — @@ -3247,7 +3247,7 @@ class="newline" /> class="pplb7t-x-x-120">Notes
          1. + class="enumerate" id="x12-99002x1">

            This routine returns a .true. value for an index that is local to the current process, including the halo indices

          @@ -3255,7 +3255,7 @@ class="cmtt-10">.true. value for an index that is local to

          6.22 psb_local_index —

          + id="x12-1000006.22">psb_local_index — @@ -3365,7 +3365,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-100002x1">

            This routine returns a .true. value for those indices that are local to the current process, including the halo indices.

          @@ -3373,7 +3373,7 @@ class="cmtt-10">.true. value for those indices that are loc

          6.23 psb_get_boundary — Extract list of boundary elements

          + id="x12-1010006.23">psb_get_boundary — Extract list of boundary elements @@ -3453,13 +3453,13 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-101002x1">

            If there are no boundary elements (i.e., if the local part of the connectivity graph is self-contained) the output vector is set to the “not allocated” state.

          2. + class="enumerate" id="x12-101004x2">

            Otherwise the size of bndel will be exactly equal to the number of boundary elements.

          @@ -3467,7 +3467,7 @@ class="cmtt-10">bndel will be exactly equal to the nu

          6.24 psb_get_overlap — Extract list of overlap elements

          + id="x12-1020006.24">psb_get_overlap — Extract list of overlap elements @@ -3547,12 +3547,12 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-102002x1">

            If there are no overlap elements the output vector is set to the “not allocated” state.

          2. + class="enumerate" id="x12-102004x2">

            Otherwise the size of ovrel will be exactly equal to the number of overlap elements.

          @@ -3560,7 +3560,7 @@ class="cmtt-10">ovrel will be exactly equal to the number o

          6.25 psb_sp_getrow — Extract row(s) from a sparse matrix

          + id="x12-1030006.25">psb_sp_getrow — Extract row(s) from a sparse matrix @@ -3742,7 +3742,7 @@ class="newline" />An integer value; 0 means no error has been detected.Notes
          1. + class="enumerate" id="x12-103002x1">

            The output nz is always the size of the output generated by the current call; thus, if nzin+1:nzin+nz of the array arguments;

          2. + class="enumerate" id="x12-103004x2">

            When append=.true. the output arrays are reallocated as necessary;

          3. + class="enumerate" id="x12-103006x3">

            The row and column indices are returned in the local numbering scheme; if the global numbering is desired, the user may employ the psb_loc_to_glob routine on the output.

            4. 6.26 psb_sizeof — Memory occupation

            + id="x12-1040006.26">psb_sizeof — Memory occupation

            This function computes the memory occupation of a PSBLAS object. @@ -3869,7 +3869,7 @@ class="cmtt-10">integer(psb_long_int_k_) number.

            6.27 Sorting utilities —

            + id="x12-1050006.27">Sorting utilities —

            psb_msort — Sorting by the Merge-sort algorithm @@ -4005,12 +4005,12 @@ class="zplmr7m-">x. class="pplb7t-x-x-120">Notes

            1. + class="enumerate" id="x12-105002x1">

              For integer or real data the sorting can be performed in the up/down direction, on the natural or absolute values;

            2. + class="enumerate" id="x12-105004x2">

              For complex data the sorting can be done in a lexicographic order (i.e.: sort on the real part with ties broken according to the imaginary part) or on the absolute values; @@ -4019,7 +4019,7 @@ class="pplb7t-x-x-120">Notes

            3. + class="enumerate" id="x12-105006x3">

              The routines return the items in the chosen ordering; the output difference is the handling of ties (i.e. items with an equal value) in the original input. With the merge-sort algorithm ties are preserved in the @@ -4027,7 +4027,7 @@ class="pplb7t-x-x-120">Notes guaranteed for quicksort or heapsort;

            4. + class="enumerate" id="x12-105008x4">

              If flag = ) occupied in the original data sequence;

            5. + class="enumerate" id="x12-105010x5">

              If flag = ix(:) have already been initialized by the user;

            6. + class="enumerate" id="x12-105012x6">

              The three sorting algorithms have a similar O() expected running time; However note that:

              1. + class="enumerate" id="x12-105014x1">

                The worst case running time for quicksort is O); the algorithm implemented here follows the apply;

              2. + class="enumerate" id="x12-105016x2">

                The worst case running time for merge-sort and heap-sort is On) as the average case;

              3. + class="enumerate" id="x12-105018x3">

                The merge-sort algorithm is implemented to take advantage of subsequences that may be already in the desired ordering prior to the subroutine call; this situation is relatively common when dealing diff --git a/docs/html/userhtmlse7.html b/docs/html/userhtmlse7.html index 6f1859d79..575dfb437 100644 --- a/docs/html/userhtmlse7.html +++ b/docs/html/userhtmlse7.html @@ -17,12 +17,12 @@ href="userhtmlse6.html#tailuserhtmlse6.html" >prev-tail] [tail] [up]

                7 Parallel environment routines

                + id="x13-1060007">Parallel environment routines

                7.1 psb_init — Initializes PSBLAS parallel environment

                + id="x13-1070007.1">psb_init — Initializes PSBLAS parallel environment @@ -138,11 +138,11 @@ class="newline" />Specified as: an integer variable. class="pplb7t-x-x-120">Notes
                1. + class="enumerate" id="x13-107002x1">

                  A call to this routine must precede any other PSBLAS call.

                2. + class="enumerate" id="x13-107004x2">

                  It is an error to specify a value for np greater than the number of processes available in the underlying base parallel environment.

                @@ -150,7 +150,7 @@ class="zplmr7m-">np greater than the number of processes

                7.2 psb_info — Return information about PSBLAS parallel environment

                + id="x13-1080007.2">psb_info — Return information about PSBLAS parallel environment @@ -231,7 +231,7 @@ class="newline" />Specified as: an integer variable.   class="pplb7t-x-x-120">Notes
                1. + class="enumerate" id="x13-108002x1">

                  For processes in the virtual parallel machine the identifier will satisfy 0 ≤ np- 1;

                2. + class="enumerate" id="x13-108004x2">

                  If the user has requested on psb_init a number of processes less than the total available in the parallel execution environment, the remaining @@ -256,7 +256,7 @@ class="cmtt-10">psb_exit.

                7.3 psb_exit — Exit from PSBLAS parallel environment

                + id="x13-1090007.3">psb_exit — Exit from PSBLAS parallel environment @@ -309,7 +309,7 @@ class="newline" />Specified as: a logical variable, default value: true.Notes
                1. + class="enumerate" id="x13-109002x1">

                  This routine may be called even if a previous call to psb_info has returned with ctxt in this situation.

                2. + class="enumerate" id="x13-109004x2">

                  A call to this routine with close=.true. implies a call to MPI_Finalize, after which no parallel routine may be called.

                3. + class="enumerate" id="x13-109006x3">

                  If the user whishes to use multiple communication contexts in the same program, or to enter and exit multiple times into the parallel environment, this routine may be called to selectively close the @@ -343,7 +343,7 @@ class="cmtt-10">close=.true. to shutdown in a clean wa

                  7.4 psb_get_mpi_comm — Get the MPI communicator

                  + id="x13-1100007.4">psb_get_mpi_comm — Get the MPI communicator @@ -407,7 +407,7 @@ deprecated.

                  7.5 psb_get_mpi_rank — Get the MPI rank

                  + id="x13-1110007.5">psb_get_mpi_rank — Get the MPI rank @@ -491,7 +491,7 @@ class="cmtt-10">psb_get_rank is still available but is depr

                  7.6 psb_wtime — Wall clock timing

                  + id="x13-1120007.6">psb_wtime — Wall clock timing @@ -525,7 +525,7 @@ class="cmtt-10">real(psb_dpk_) variable.

                  7.7 psb_barrier — Sinchronization point parallel environment

                  + id="x13-1130007.7">psb_barrier — Sinchronization point parallel environment @@ -564,7 +564,7 @@ class="newline" />Specified as: an integer variable.

                  7.8 psb_abort — Abort a computation

                  + id="x13-1140007.8">psb_abort — Abort a computation @@ -602,7 +602,7 @@ class="newline" />Specified as: an integer variable.

                  7.9 psb_bcast — Broadcast data

                  + id="x13-1150007.9">psb_bcast — Broadcast data @@ -709,8 +709,7 @@ class="pplb7t-">optional.
                  Intent: inout.
                  If mode does not specify synchronous completion, then this variable must - be present. +class="cmtt-10">mode specifies non-blocking action, then this variable must be present.

                  @@ -746,19 +745,21 @@ class="pplb7t-">optional.
                  Intent: inout.
                  If mode does not specify synchronous completion, then this variable must - be present.

                  +class="cmtt-10">mode specifies non-blocking action, then this variable must be present. + + +

                  Notes

                  1. + class="enumerate" id="x13-115002x1">

                    The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

                  2. + class="enumerate" id="x13-115004x2">

                    The mode argument can be built with the bitwise IOR() operator; in the @@ -774,7 +775,7 @@ class="cmtt-10">request argument needs not be specified:

                  3. + class="enumerate" id="x13-115006x3">

                    When splitting the operation in two calls, the dat argument must not be @@ -793,7 +794,7 @@ class="pplri7t-">must not be

                    7.10 psb_sum — Global sum

                    + id="x13-1160007.10">psb_sum — Global sum @@ -901,8 +902,7 @@ class="pplb7t-">optional.
                    Intent: inout.
                    If mode does not specify synchronous completion, then this variable must - be present. +class="cmtt-10">mode specifies non-blocking action, then this variable must be present.

                    @@ -938,19 +938,21 @@ class="pplb7t-">optional.
                    Intent: inout.
                    If mode does not specify synchronous completion, then this variable must - be present.

                    +class="cmtt-10">mode specifies non-blocking action, then this variable must be present. + + +

                    Notes

                    1. + class="enumerate" id="x13-116002x1">

                      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

                    2. + class="enumerate" id="x13-116004x2">

                      The mode argument can be built with the bitwise IOR() operator; in the @@ -966,7 +968,7 @@ class="cmtt-10">request argument needs not be specified:

                    3. + class="enumerate" id="x13-116006x3">

                      When splitting the operation in two calls, the dat argument must not be @@ -985,7 +987,7 @@ class="pplri7t-">must not be

                      7.11 psb_max — Global maximum

                      + id="x13-1170007.11">psb_max — Global maximum @@ -1094,8 +1096,7 @@ class="pplb7t-">optional.
                      Intent: inout.
                      If mode does not specify synchronous completion, then this variable must - be present. +class="cmtt-10">mode specifies non-blocking action, then this variable must be present.

                      @@ -1130,8 +1131,7 @@ class="pplb7t-">optional.
                      Intent: inout.
                      If mode does not specify synchronous completion, then this variable must - be present.

                      +class="cmtt-10">mode specifies non-blocking action, then this variable must be present. @@ -1139,13 +1139,13 @@ class="cmtt-10">mode does not specify synchronous completio class="pplb7t-x-x-120">Notes
                      1. + class="enumerate" id="x13-117002x1">

                        The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

                      2. + class="enumerate" id="x13-117004x2">

                        The mode argument can be built with the bitwise IOR() operator; in the @@ -1161,7 +1161,7 @@ class="cmtt-10">request argument needs not be specified:

                      3. + class="enumerate" id="x13-117006x3">

                        When splitting the operation in two calls, the dat argument must not be @@ -1180,7 +1180,7 @@ class="pplri7t-">must not be

                        7.12 psb_min — Global minimum

                        + id="x13-1180007.12">psb_min — Global minimum @@ -1288,8 +1288,7 @@ class="pplb7t-">optional.
                        Intent: inout.
                        If mode does not specify synchronous completion, then this variable must - be present. +class="cmtt-10">mode specifies non-blocking action, then this variable must be present.

                        @@ -1325,19 +1324,21 @@ class="pplb7t-">optional.
                        Intent: inout.
                        If mode does not specify synchronous completion, then this variable must - be present.

                        +class="cmtt-10">mode specifies non-blocking action, then this variable must be present. + + +

                        Notes

                        1. + class="enumerate" id="x13-118002x1">

                          The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

                        2. + class="enumerate" id="x13-118004x2">

                          The mode argument can be built with the bitwise IOR() operator; in the @@ -1353,7 +1354,7 @@ class="cmtt-10">request argument needs not be specified:

                        3. + class="enumerate" id="x13-118006x3">

                          When splitting the operation in two calls, the dat argument must not be @@ -1372,7 +1373,7 @@ class="pplri7t-">must not be

                          7.13 psb_amx — Global maximum absolute value

                          + id="x13-1190007.13">psb_amx — Global maximum absolute value @@ -1481,8 +1482,7 @@ class="pplb7t-">optional.
                          Intent: inout.
                          If mode does not specify synchronous completion, then this variable must - be present. +class="cmtt-10">mode specifies non-blocking action, then this variable must be present.

                          @@ -1518,19 +1518,21 @@ class="pplb7t-">optional.
                          Intent: inout.
                          If mode does not specify synchronous completion, then this variable must - be present.

                          +class="cmtt-10">mode specifies non-blocking action, then this variable must be present. + + +

                          Notes

                          1. + class="enumerate" id="x13-119002x1">

                            The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

                          2. + class="enumerate" id="x13-119004x2">

                            The mode argument can be built with the bitwise IOR() operator; in the @@ -1546,7 +1548,7 @@ class="cmtt-10">request argument needs not be specified:

                          3. + class="enumerate" id="x13-119006x3">

                            When splitting the operation in two calls, the dat argument must not be @@ -1565,7 +1567,7 @@ class="pplri7t-">must not be

                            7.14 psb_amn — Global minimum absolute value

                            + id="x13-1200007.14">psb_amn — Global minimum absolute value @@ -1674,8 +1676,7 @@ class="pplb7t-">optional.
                            Intent: inout.
                            If mode does not specify synchronous completion, then this variable must - be present. +class="cmtt-10">mode specifies non-blocking action, then this variable must be present.

                            @@ -1711,19 +1712,21 @@ class="pplb7t-">optional.
                            Intent: inout.
                            If mode does not specify synchronous completion, then this variable must - be present.

                            +class="cmtt-10">mode specifies non-blocking action, then this variable must be present. + + +

                            Notes

                            1. + class="enumerate" id="x13-120002x1">

                              The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

                            2. + class="enumerate" id="x13-120004x2">

                              The mode argument can be built with the bitwise IOR() operator; in the @@ -1739,7 +1742,7 @@ class="cmtt-10">request argument needs not be specified:

                            3. + class="enumerate" id="x13-120006x3">

                              When splitting the operation in two calls, the dat argument must not be @@ -1758,7 +1761,7 @@ class="pplri7t-">must not be

                              7.15 psb_nrm2 — Global 2-norm reduction

                              + id="x13-1210007.15">psb_nrm2 — Global 2-norm reduction @@ -1866,8 +1869,7 @@ class="pplb7t-">optional.
                              Intent: inout.
                              If mode does not specify synchronous completion, then this variable must - be present. +class="cmtt-10">mode specifies non-blocking action, then this variable must be present.

                              @@ -1902,8 +1904,7 @@ class="pplb7t-">optional.
                              Intent: inout.
                              If mode does not specify synchronous completion, then this variable must - be present.

                              +class="cmtt-10">mode specifies non-blocking action, then this variable must be present. @@ -1911,12 +1912,12 @@ class="cmtt-10">mode does not specify synchronous completio class="pplb7t-x-x-120">Notes
                              1. + class="enumerate" id="x13-121002x1">

                                This reduction is appropriate to compute the results of multiple (local) NRM2 operations at the same time.

                              2. + class="enumerate" id="x13-121004x2">

                                Denoting by dati the value of the variable

                                with care taken to avoid unnecessary overflow.

                              3. + class="enumerate" id="x13-121006x3">

                                The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

                              4. + class="enumerate" id="x13-121008x4">

                                The mode argument can be built with the bitwise IOR() operator; in the @@ -1955,7 +1956,7 @@ class="cmtt-10">request argument needs not be specified:

                              5. + class="enumerate" id="x13-121010x5">

                                When splitting the operation in two calls, the dat argument must not be @@ -1977,7 +1978,7 @@ class="pplri7t-">must not be

                                7.16 psb_snd — Send data

                                + id="x13-1220007.16">psb_snd — Send data @@ -2091,7 +2092,7 @@ class="description"> class="pplb7t-x-x-120">Notes
                                1. + class="enumerate" id="x13-122002x1">

                                  This subroutine implies a synchronization, but only between the calling process and the destination process dst.

                                @@ -2099,7 +2100,7 @@ class="zplmr7m-">dst.

                              7.17 psb_rcv — Receive data

                              + id="x13-1230007.17">psb_rcv — Receive data @@ -2213,7 +2214,7 @@ class="zplmr7m-">m is not specified, size class="pplb7t-x-x-120">Notes
                              1. + class="enumerate" id="x13-123002x1">

                                This subroutine implies a synchronization, but only between the calling process and the source process src.

                              diff --git a/docs/html/userhtmlse8.html b/docs/html/userhtmlse8.html index 447f8627e..029136a82 100644 --- a/docs/html/userhtmlse8.html +++ b/docs/html/userhtmlse8.html @@ -17,7 +17,7 @@ href="userhtmlse7.html#tailuserhtmlse7.html" >prev-tail] [tail] [up]

                              8 Error handling

                              + id="x14-1240008">Error handling

                              The PSBLAS library error handling policy has been completely rewritten in version 2.0. The idea behind the design of this new error handling strategy is to keep error messages on a stack allowing the user to trace back up to the point where the first @@ -36,7 +36,7 @@ zero, an error condition is raised. This process continues on all the levels of nested calls until the level where the user decides to abort the program execution.

                              Figure 5 shows the layout of a generic 5 shows the layout of a generic psb_foo routine with respect to the PSBLAS-2.0 error handling policy. It is possible to see how, whenever an error condition is detected, the

                              @@ -68,7 +68,7 @@ explicitly. 

                              subroutine psb_foo(, info) 
    ... 
    detected) then 
    info=errcode1 
    , errcode1) 
     goto 9999 
    end if 
    ... 
    , info) 
    zero) then 
    info=errcode2 
    , errcode2) 
     goto 9999 
    end if 
    ... 
 9999 continue 
    act_abort) then 
    (icontxt) 
     return 
    else 
     return 
    end if 
  
+ id="x14-124023r23"> 
 end subroutine psb_foo
                              @@ -286,13 +286,13 @@ class="cmtt-9">psb_foo
                              class="content">The layout of a generic psb_foo routine with respect to PSBLAS-2.0 -error handling policy. +error handling policy.

                              Figure 6 reports a sample error message generated by the PSBLAS-2.0 +href="#x14-124026r6">6 reports a sample error message generated by the PSBLAS-2.0 library. This error has been generated by the fact that the user has chosen the invalid “FOO” storage format to represent the sparse matrix. From this error message it is possible to see that the error has been detected inside @@ -304,7 +304,7 @@ process).

                              @@ -333,7 +333,7 @@ Aborting...
                              Listing 6: A sample PSBLAS-3.0 error message. Process 0 detected an error -condition inside the psb_cest subroutine
                              +condition inside the psb_cest subroutine
                              @@ -342,10 +342,10 @@ condition inside the psb_cest subroutine
                              call psb_errpush(
 
                                                                   
    
                              8.2     psb_error — Prints the error stack content and aborts execution
                              
+ id="x14-1260008.2">psb_error — Prints the error stack content and aborts execution
    
    
                              call psb_error(Specified as: an integer.
 
                                                                   
    
                              8.3     psb_set_errverbosity — Sets the verbosity of error messages
                              
+ id="x14-1270008.3">psb_set_errverbosity — Sets the verbosity of error messages
    
    
                              call psb_set_errverbosity(Specified as: an integer.
 
                                                                   
    
                              8.4     psb_set_erraction — Set the type of action to be taken upon error
+ id="x14-1280008.4">psb_set_erraction — Set the type of action to be taken upon error
 condition
                              
    
    
                              call psb_set_erraction(prev-tail] [tail] [up] 
                              
    
                              9     Utilities
                              
+ id="x15-1290009">Utilities
 
                              We have some utilities available for input and output of sparse matrices; the
 interfaces to these routines are available in the module psb_util_mod.
@@ -25,11 +25,11 @@ class="cmtt-10">psb_util_mod.
 
                                                                   
    
                              9.1      hb_read — Read a sparse matrix from a file in the Harwell–Boeing
+ id="x15-1300009.1"> hb_read — Read a sparse matrix from a file in the Harwell–Boeing
 format
                              
    
    
                              call hb_read(An integer value; 0 means no error has been detected.9.2     hb_write — Write a sparse matrix to a file in the Harwell–Boeing
+ id="x15-1310009.2">hb_write — Write a sparse matrix to a file in the Harwell–Boeing
 format
    
    
                              call hb_write(An integer value; 0 means no error has been detected.9.3     mm_mat_read — Read a sparse matrix from a file in the MatrixMarket
+ id="x15-1320009.3">mm_mat_read — Read a sparse matrix from a file in the MatrixMarket
 format
    
    
                              call mm_mat_read(An integer value; 0 means no error has been detected.9.4     mm_array_read — Read a dense array from a file in the MatrixMarket
+ id="x15-1330009.4">mm_array_read — Read a dense array from a file in the MatrixMarket
 format
    
    
                              call mm_array_read(An integer value; 0 means no error has been detected.9.5     mm_mat_write — Write a sparse matrix to a file in the MatrixMarket
+ id="x15-1340009.5">mm_mat_write — Write a sparse matrix to a file in the MatrixMarket
 format
    
    
                              call mm_mat_write(9.6     mm_array_write — Write a dense array from a file in the MatrixMarket
+ id="x15-1350009.6">mm_array_write — Write a dense array from a file in the MatrixMarket
 format
    
    
                              call mm_array_write(>
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 ½ѳ򴴴ȳ賳޳Գ˳³ⳳٳϳ񴴴ų糳ܳӳɳ볳ೳ׳ͳﳳų䳳ڳѳ򴴴ȳ賳߳ճ˳³ⳳٳϳ񴴴ų糳ܳӳɳ볳ᳳ׳ͳﳳų䳳¿¿¿棟͙ͣͣͣͣȔŔŔŔŔŒą~xvpvpvpvpvpvphbf`f`f`f`f`b[WPWPWPWPWPWPLDH@H@H@H@H@F>9090909090900') ) ) ) ) ) ೳ7.%leڳ'vpB9賳ɳZS) vqֳA8ME䳳,#Ƴ|/&󴴴 {ӳe^VOᳳJBó4+𴴴5,г $aZ޳pj:2쳳WP̳%<4leڳ+"B9賳}wɳ) _Xvq׳G?ME䳳$$,#+"$Ƴ0'$JCfa~ʗ٨䵴︸︸︸︸︸︸ﯯ髪杛܊xtgbUOB;) /&󴴴2*gbڷ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸שׂ損vrYT=5{ӳ#IBԸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﳲ뒐lhH@#kd;3׸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﶶlgVOᳳid︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtóPH"Ҹ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt4+𴴴$ٸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtг91Ҹ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt ql︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtaZ޳'<5︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtwqָ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt:2C<︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt̳ZSʸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ᎋyunigbd_d_hcrm|ɑԪ常︸︸︸︸︸︸︸︸︸︸︸︸︸xt%#츸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸UO*!) G?d_~ʩ常︸︸︸︸︸︸︸︸xtleڳB9IB︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸難F?;3idط︸︸︸︸xtmi︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﭬ/&) \V۸︸︸xtB9賳/&и︸︸︸︸︸︸︸︸︸︸︸︸︸︸TN;4{wŰxtɳ~޸︸︸︸︸︸︸︸︸︸︸︸︸︸ﮭ#91)  븸︸︸︸︸︸︸︸︸︸︸︸︸︸vq׳e_︸︸︸︸︸︸︸︸︸︸︸︸︸︸ ︸︸︸︸︸︸︸︸︸︸︸︸︸︸ME䳳JC︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴ$Ƴ︸︸︸︸︸︸︸︸︸︸︸︸︸︸rn/&󴴴5,㸸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷd_{ӳո︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸MF&so︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸難zvLE&VOᳳrlNH︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ{w[U<5ó"츸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴ횘{w[U:24+𴴴WP}ɸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﱱ뎋idD=г;4︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﰰ}yE> <4˸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸難rn1)aZ޳*!游︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ1)+"H@︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴoj:2~xUO︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸1)̳LE길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸שׂ<5%`Y3*ڸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﭬ4+leڳ`Z縸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ H@#hc丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸pkB9賳HA̵︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﴳ-$ɳ0'&QJ{wť⸸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸pk) 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*!%d_︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸LEͳ{uwqd_︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸1(<4d_︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸﨧*!ij]VC:d_︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﲲ;3KC䳳^Wd_︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﰰC<G?$!\V︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸6.smڳ0(d_ط︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴtp 0'6--$`[ֶ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵵ턀2*ѳME#G?lgԲ븸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸je+"(񴴴#TM<4`ZwsÍѣᶶ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ|\V2*ȳjc* 2*HAWQb]mixtxt}yƁ~xtxtqlfaYSKD6-@8賳}wPH0'b[޳^V91KDճ1("'sm˳vp(5-쳳jc³ZSD<SLⳳ6.:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2:2800')91A8丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﶶ啓zv`[<4hbztٳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﰰꈅSL#%/&丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﴳ~{3*wqϳ}丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ~{'<4* 񴴴 丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸שׂJCC:ųe^丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷni]VH@泳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸|$!JB丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸{wjcܳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[6-5,丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴ5-MEӳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸TM$󴴴$丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸G@* ɳqk丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸}yNHNHNHNHNHNHNHNHNHUO_Ylhѯ鸸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸}w80볳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[UOݸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ0'0'WP丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[rm︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸e_^V[Tೳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[mi︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸KD<4丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[ָ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﰰ1(|׳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[A9︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸/&sm+"丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸C<(ͳ}w丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[|ȸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸SLjc/&ﳳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[lh︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸YTC;ų_X丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[`[︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[91IA䳳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[gb︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸]WhbH@丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[tp︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸VP 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︸︸︸︸︸︸︸︸︸︸罹}yTM1)γ*!길︸︸︸︸︸︸︸ﵴ옖٘٘٘٘٠޴츸︸︸︸︸︸︸︸︸︸︸RK0'︸︸︸︸︸︸︸︸߸︸︸︸︸︸︸︸e_IB︸︸︸︸︸︸︸ﳳ#ݸ︸︸︸︸︸︸︸︸︸︸︸︸︸ﯮ鐍pkLE&2)zt길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷa\0'︸︸︸︸︸︸︸︸?7︸︸︸︸︸︸︸ﷷ0'縸︸︸︸︸︸︸︸XRWQ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷkf2*vp۳$길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸A90'︸︸︸︸︸︸︸︸xtø︸︸︸︸︸︸︸{wŸ︸︸︸︸︸︸︸ڸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸A9SK\U길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴxt6.0'︸︸︸︸︸︸︸︸踸︸︸︸︸︸︸︸`ZD=︸︸︸︸︸︸︸ﷷ/'.%游︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸#C;91¿길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷws0'︸︸︸︸︸︸︸︸PJ︸︸︸︸︸︸︸ﷷ*!常︸︸︸︸︸︸︸id/&ܸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸) zt/&7/7/7/7/7/;2SLSLSLSLSLSL`Ymfmfmfmfmfmf}șșșșșȧϭӭӭӭӭӮӾC;길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸0'︸︸︸︸︸︸︸︸и︸︸︸︸︸︸︸vr¸︸︸︸︸︸︸︸f`길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸+""길︸︸︸︸︸︸︸ﵵࢡࢡࢡࢡࢡ੨嶶︸︸︸︸︸︸︸︸︸︸}y0'︸︸︸︸︸︸︸︸) ︸︸︸︸︸︸︸YT?7︸︸︸︸︸︸︸︸A9&`[ݸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ZT길︸︸︸︸︸︸︸藍 F?и︸︸︸︸︸︸︸︸︸A90'︸︸︸︸︸︸︸︸b]︸︸︸︸︸︸︸ﵴ&㸸︸︸︸︸︸︸︸{w0(YT˨丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸藍=5賳A9길︸︸︸︸︸︸︸藍oj︸︸︸︸︸︸︸︸0'︸︸︸︸︸︸︸︸ܸ︸︸︸︸︸︸︸ql︸︸︸︸︸︸︸ﯯ ,#OItp߸︸︸︸︸︸︸︸︸︸︸︸︸5,길︸︸︸︸︸︸︸藍ุ︸︸︸︸︸︸︸ﵴ 0'︸︸︸︸︸︸︸︸80︸︸︸︸︸︸︸︸d_d_d_d_d_d_d_d_d_|xƸ︸︸︸︸︸︸︸︸SL0'c^常︸︸︸︸︸︸︸︸︸YTUNݳrl길︸︸︸︸︸︸︸藍rm︸︸︸︸︸︸︸︸>60'︸︸︸︸︸︸︸︸so︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸$׸︸︸︸︸︸︸︸︸je길︸︸︸︸︸︸︸藍_Y︸︸︸︸︸︸︸︸PI0'︸︸︸︸︸︸︸︸常︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﶶ*!4+︸︸︸︸︸︸︸︸vruoԳ길︸︸︸︸︸︸︸藍d_︸︸︸︸︸︸︸︸ZT0'︸︸︸︸︸︸︸︸JC︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸d_游︸︸︸︸︸︸︸ql%5-길︸︸︸︸︸︸︸藍}ɸ︸︸︸︸︸︸︸︸OI0'︸︸︸︸︸︸︸︸̸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸) b]"縸︸︸︸︸︸︸︸e_ʳ길︸︸︸︸︸︸︸藍) 길︸︸︸︸︸︸︸︸A90'︸︸︸︸︸︸︸︸%츸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸;30'ﭬje&:2︸︸︸︸︸︸︸︸WQ3*e^길︸︸︸︸︸︸︸藍)׸︸︸︸︸︸︸︸︸ﷷ) 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 0 g 0 G
-/F84 9.9626 Tf 0.98 0 0 1 191.671 513.114 Tm [(In)-244(this)-244(case)-244(the)-244(association)-244(between)-244(an)-244(index)-244(and)-244(a)-245(pr)19(ocess)-244(is)-244(speci\002ed)]TJ 0.986 0 0 1 197.25 501.158 Tm [(via)-254(an)-254(integer)-253(vector)]TJ/F131 9.9626 Tf 1 0 0 1 288.765 501.158 Tm [(vg\0501:mg\051)]TJ/F84 9.9626 Tf 0.986 0 0 1 330.608 501.158 Tm [(;)-254(each)-254(index)]TJ/F78 9.9626 Tf 1 0 0 1 384.647 501.158 Tm [(i)]TJ/F179 10.3811 Tf 5.861 0 Td [(2)-290(f)]TJ/F84 9.9626 Tf 0.986 0 0 1 405.758 501.158 Tm [(1)]TJ 1 0 0 1 412.455 501.158 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(m)-47(g)]TJ/F179 10.3811 Tf 13.45 0 Td [(g)]TJ/F84 9.9626 Tf 0.986 0 0 1 446.913 501.158 Tm [(is)-254(assigned)]TJ 1.02 0 0 1 197.529 489.203 Tm [(to)-260(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 245.285 489.203 Tm [(v)-47(g)]TJ/F181 10.3811 Tf 10.68 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 267.407 489.203 Tm [(.)-349(The)-260(vector)]TJ/F131 9.9626 Tf 1 0 0 1 323.78 489.203 Tm [(vg)]TJ/F84 9.9626 Tf 1.02 0 0 1 336.883 489.203 Tm [(must)-260(be)-260(identical)-260(on)-260(all)-260(calling)-260(pr)18(o-)]TJ 1.02 0 0 1 197.529 477.248 Tm [(cesses;)-427(its)-366(entries)-366(may)-367(have)-366(the)-366(ranges)]TJ/F181 10.3811 Tf 1 0 0 1 380.093 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.242 477.248 Tm [(0)]TJ 1 0 0 1 391.108 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F179 10.3811 Tf 13.96 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 428.856 477.248 Tm [(1)]TJ/F181 10.3811 Tf 1 0 0 1 434.061 477.248 Tm [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 441.932 477.248 Tm [(or)]TJ/F181 10.3811 Tf 1 0 0 1 455.341 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 459.491 477.248 Tm [(1)]TJ 1 0 0 1 466.356 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(n)-80(p)]TJ/F181 10.3811 Tf 11.566 0 Td [(\051)]TJ/F84 9.9626 Tf 0.993 0 0 1 197.529 465.293 Tm [(accor)18(ding)-252(to)-253(the)-252(value)-252(of)]TJ/F131 9.9626 Tf 1 0 0 1 308.219 465.293 Tm [(flag)]TJ/F84 9.9626 Tf 0.993 0 0 1 329.141 465.293 Tm [(.)-314(The)-253(size)]TJ/F78 9.9626 Tf 1 0 0 1 373.16 465.293 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 0.993 0 0 1 388.982 465.293 Tm [(may)-252(be)-253(speci\002ed)-252(via)-253(the)]TJ 0.999 0 0 1 197.529 453.338 Tm [(optional)-250(ar)18(gument)]TJ/F131 9.9626 Tf 1 0 0 1 282.025 453.338 Tm [(mg)]TJ/F84 9.9626 Tf 0.999 0 0 1 292.485 453.338 Tm [(;)-251(the)-250(default)-250(is)-251(to)-250(use)-251(the)-250(entir)18(e)-250(vector)]TJ/F131 9.9626 Tf 1 0 0 1 459.716 453.338 Tm [(vg)]TJ/F84 9.9626 Tf 0.999 0 0 1 470.177 453.338 Tm [(,)-250(thus)]TJ 1 0 0 1 197.529 441.383 Tm [(having)]TJ/F131 9.9626 Tf 33.136 0 Td [(mg=size\050vg\051)]TJ/F84 9.9626 Tf 57.533 0 Td [(.)]TJ
+/F84 9.9626 Tf 0.98 0 0 1 140.862 513.114 Tm [(In)-244(this)-244(case)-244(the)-244(association)-244(between)-244(an)-244(index)-244(and)-244(a)-245(pr)19(ocess)-244(is)-244(speci\002ed)]TJ 0.986 0 0 1 146.441 501.158 Tm [(via)-254(an)-254(integer)-253(vector)]TJ/F145 9.9626 Tf 1 0 0 1 237.956 501.158 Tm [(vg\0501:mg\051)]TJ/F84 9.9626 Tf 0.986 0 0 1 279.798 501.158 Tm [(;)-254(each)-254(index)]TJ/F78 9.9626 Tf 1 0 0 1 333.837 501.158 Tm [(i)]TJ/F189 10.3811 Tf 5.861 0 Td [(2)-290(f)]TJ/F84 9.9626 Tf 0.986 0 0 1 354.949 501.158 Tm [(1)]TJ 1 0 0 1 361.645 501.158 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(m)-47(g)]TJ/F189 10.3811 Tf 13.449 0 Td [(g)]TJ/F84 9.9626 Tf 0.986 0 0 1 396.104 501.158 Tm [(is)-254(assigned)]TJ 1.02 0 0 1 146.72 489.203 Tm [(to)-260(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 194.476 489.203 Tm [(v)-47(g)]TJ/F191 10.3811 Tf 10.68 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F191 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 216.598 489.203 Tm [(.)-349(The)-260(vector)]TJ/F145 9.9626 Tf 1 0 0 1 272.971 489.203 Tm [(vg)]TJ/F84 9.9626 Tf 1.02 0 0 1 286.073 489.203 Tm [(must)-260(be)-260(identical)-260(on)-260(all)-260(calling)-260(pr)18(o-)]TJ 1.02 0 0 1 146.72 477.248 Tm [(cesses;)-427(its)-366(entries)-366(may)-367(have)-366(the)-366(ranges)]TJ/F191 10.3811 Tf 1 0 0 1 329.283 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 333.433 477.248 Tm [(0)]TJ 1 0 0 1 340.299 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F189 10.3811 Tf 13.96 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 378.046 477.248 Tm [(1)]TJ/F191 10.3811 Tf 1 0 0 1 383.252 477.248 Tm [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 391.123 477.248 Tm [(or)]TJ/F191 10.3811 Tf 1 0 0 1 404.532 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 408.681 477.248 Tm [(1)]TJ 1 0 0 1 415.547 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F191 10.3811 Tf 11.567 0 Td [(\051)]TJ/F84 9.9626 Tf 0.993 0 0 1 146.72 465.293 Tm [(accor)18(ding)-252(to)-253(the)-252(value)-252(of)]TJ/F145 9.9626 Tf 1 0 0 1 257.41 465.293 Tm [(flag)]TJ/F84 9.9626 Tf 0.993 0 0 1 278.331 465.293 Tm [(.)-314(The)-253(size)]TJ/F78 9.9626 Tf 1 0 0 1 322.35 465.293 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 0.993 0 0 1 338.172 465.293 Tm [(may)-252(be)-253(speci\002ed)-252(via)-253(the)]TJ 0.999 0 0 1 146.72 453.338 Tm [(optional)-250(ar)18(gument)]TJ/F145 9.9626 Tf 1 0 0 1 231.215 453.338 Tm [(mg)]TJ/F84 9.9626 Tf 0.999 0 0 1 241.676 453.338 Tm [(;)-250(the)-251(default)-250(is)-251(to)-250(use)-250(the)-251(entir)18(e)-250(vector)]TJ/F145 9.9626 Tf 1 0 0 1 408.907 453.338 Tm [(vg)]TJ/F84 9.9626 Tf 0.999 0 0 1 419.367 453.338 Tm [(,)-251(t)1(hus)]TJ 1 0 0 1 146.72 441.383 Tm [(having)]TJ/F145 9.9626 Tf 33.135 0 Td [(mg=size\050vg\051)]TJ/F84 9.9626 Tf 57.534 0 Td [(.)]TJ
 0 g 0 G
 /F75 9.9626 Tf -112.587 -15.594 Td [(vl)]TJ
 0 g 0 G
-/F84 9.9626 Tf 1.02 0 0 1 189.449 425.789 Tm [(In)-336(this)-335(case)-336(we)-335(ar)17(e)-335(specifying)-336(the)-335(list)-336(of)-335(indices)]TJ/F131 9.9626 Tf 1 0 0 1 409.868 425.789 Tm [(vl\0501:nl\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 455.12 425.789 Tm [(assigned)]TJ 1.018 0 0 1 197.529 413.834 Tm [(to)-245(the)-246(curr)18(ent)-245(pr)17(ocess;)-245(thus,)-246(the)-245(global)-245(pr)17(oblem)-245(size)]TJ/F78 9.9626 Tf 1 0 0 1 430.434 413.834 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 1.018 0 0 1 446.248 413.834 Tm [(is)-245(given)-246(by)]TJ 1.02 0 0 1 197.529 401.878 Tm [(the)-255(range)-255(of)-255(the)-255(aggr)18(egate)-255(of)-255(the)-255(individual)-255(vectors)]TJ/F131 9.9626 Tf 1 0 0 1 429.927 401.878 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.978 401.878 Tm [(speci\002ed)-255(in)]TJ 1.02 0 0 1 197.529 389.923 Tm [(the)-347(call)1(ing)-347(pr)18(ocesses.)-608(The)-347(size)-346(may)-347(be)-346(speci\002ed)-347(via)-346(the)-347(optional)]TJ 1.02 0 0 1 197.529 377.968 Tm [(ar)18(gument)]TJ/F131 9.9626 Tf 1 0 0 1 243.859 377.968 Tm [(nl)]TJ/F84 9.9626 Tf 1.02 0 0 1 254.32 377.968 Tm [(;)-257(the)-253(default)-253(is)-252(to)-253(use)-253(the)-253(entir)18(e)-253(vector)]TJ/F131 9.9626 Tf 1 0 0 1 425.335 377.968 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 435.795 377.968 Tm [(,)-255(thus)-253(having)]TJ/F131 9.9626 Tf 1 0 0 1 197.529 366.013 Tm [(nl=size\050vl\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 255.063 366.013 Tm [(.)-306(If)]TJ/F131 9.9626 Tf 1 0 0 1 269.222 366.013 Tm [(globalcheck=.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 365.556 366.013 Tm [(the)-224(subr)18(outine)-224(will)-224(check)-224(how)]TJ 0.98 0 0 1 197.529 354.058 Tm [(many)-209(t)1(imes)-209(each)-208(entry)-209(in)-208(the)-209(global)-208(index)-209(space)]TJ/F181 10.3811 Tf 1 0 0 1 403.34 354.058 Tm [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 407.49 354.058 Tm [(1)]TJ 1 0 0 1 414.156 354.058 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(m)-47(g)]TJ/F181 10.3811 Tf 13.449 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 446.991 354.058 Tm [(is)-208(speci\002ed)]TJ 0.999 0 0 1 197.529 342.103 Tm [(in)-249(the)-250(input)-249(lists)]TJ/F131 9.9626 Tf 1 0 0 1 271.343 342.103 Tm [(vl)]TJ/F84 9.9626 Tf 0.999 0 0 1 281.803 342.103 Tm [(,)-250(thus)-249(allowing)-249(for)-250(the)-249(pr)18(esence)-249(of)-250(overlap)-249(in)-249(the)]TJ 1.005 0 0 1 197.529 330.147 Tm [(input,)-248(and)-249(checking)-248(for)-249(\223orphan\224)-248(indices.)-308(If)]TJ/F131 9.9626 Tf 1 0 0 1 393.782 330.147 Tm [(globalcheck=.false.)]TJ/F84 9.9626 Tf 1.005 0 0 1 493.158 330.147 Tm [(,)]TJ 1.018 0 0 1 197.529 318.192 Tm [(the)-246(subr)18(outine)-247(will)-246(not)-246(check)-246(for)-246(overlap,)-246(and)-246(may)-246(be)-247(signi\002cantly)]TJ 1.02 0 0 1 197.529 306.237 Tm [(faster)73(,)-256(but)-253(the)-253(user)-253(is)-254(implicitly)-253(guaranteeing)-253(that)-253(ther)17(e)-253(ar)18(e)-253(neither)]TJ 1 0 0 1 197.529 294.282 Tm [(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
+/F84 9.9626 Tf 1.02 0 0 1 138.64 425.789 Tm [(In)-336(this)-335(case)-336(we)-335(ar)17(e)-335(specifying)-336(the)-335(list)-336(of)-335(indices)]TJ/F145 9.9626 Tf 1 0 0 1 359.058 425.789 Tm [(vl\0501:nl\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 404.311 425.789 Tm [(assigned)]TJ 1.018 0 0 1 146.72 413.834 Tm [(to)-245(the)-246(curr)18(ent)-245(pr)17(ocess;)-245(thus,)-246(th)1(e)-246(global)-245(pr)17(oblem)-245(size)]TJ/F78 9.9626 Tf 1 0 0 1 379.625 413.834 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 1.018 0 0 1 395.438 413.834 Tm [(is)-245(given)-246(by)]TJ 1.02 0 0 1 146.72 401.878 Tm [(the)-255(range)-255(of)-255(the)-255(aggr)18(egate)-255(of)-255(the)-255(individual)-255(vectors)]TJ/F145 9.9626 Tf 1 0 0 1 379.117 401.878 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 392.168 401.878 Tm [(speci\002ed)-255(in)]TJ 1.02 0 0 1 146.72 389.923 Tm [(the)-346(calling)-347(pr)18(ocesses.)-608(The)-347(size)-346(may)-347(be)-346(speci\002ed)-347(via)-346(the)-347(optional)]TJ 1.02 0 0 1 146.72 377.968 Tm [(ar)18(gument)]TJ/F145 9.9626 Tf 1 0 0 1 193.05 377.968 Tm [(nl)]TJ/F84 9.9626 Tf 1.02 0 0 1 203.511 377.968 Tm [(;)-257(the)-253(default)-252(is)-253(to)-253(use)-253(the)-253(entir)18(e)-253(vector)]TJ/F145 9.9626 Tf 1 0 0 1 374.525 377.968 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.986 377.968 Tm [(,)-255(thus)-253(having)]TJ/F145 9.9626 Tf 1 0 0 1 146.72 366.013 Tm [(nl=size\050vl\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 204.254 366.013 Tm [(.)-306(If)]TJ/F145 9.9626 Tf 1 0 0 1 218.412 366.013 Tm [(globalcheck=.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 314.747 366.013 Tm [(the)-224(subr)18(outine)-224(will)-224(check)-224(how)]TJ 0.98 0 0 1 146.72 354.058 Tm [(many)-208(times)-209(each)-208(entry)-209(in)-208(the)-209(global)-208(index)-209(space)]TJ/F191 10.3811 Tf 1 0 0 1 352.531 354.058 Tm [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 356.68 354.058 Tm [(1)]TJ 1 0 0 1 363.347 354.058 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(m)-47(g)]TJ/F191 10.3811 Tf 13.45 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 396.182 354.058 Tm [(is)-208(speci\002ed)]TJ 0.999 0 0 1 146.72 342.103 Tm [(in)-249(the)-250(input)-249(lists)]TJ/F145 9.9626 Tf 1 0 0 1 220.533 342.103 Tm [(vl)]TJ/F84 9.9626 Tf 0.999 0 0 1 230.994 342.103 Tm [(,)-250(thus)-249(allowing)-249(for)-250(the)-249(pr)18(esence)-249(of)-250(overlap)-249(in)-249(the)]TJ 1.005 0 0 1 146.72 330.147 Tm [(input,)-248(and)-249(checking)-248(for)-249(\223orphan\224)-248(indices.)-308(If)]TJ/F145 9.9626 Tf 1 0 0 1 342.972 330.147 Tm [(globalcheck=.false.)]TJ/F84 9.9626 Tf 1.005 0 0 1 442.349 330.147 Tm [(,)]TJ 1.018 0 0 1 146.72 318.192 Tm [(the)-246(subr)18(outine)-246(will)-247(not)-246(check)-246(for)-246(overlap,)-246(and)-246(may)-246(be)-247(signi\002)1(cantly)]TJ 1.02 0 0 1 146.72 306.237 Tm [(faster)73(,)-256(but)-253(the)-253(user)-253(is)-254(implicitly)-253(guaranteeing)-253(that)-253(ther)17(e)-253(ar)18(e)-253(neither)]TJ 1 0 0 1 146.72 294.282 Tm [(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
 0 g 0 G
 /F75 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
 0 g 0 G
-/F84 9.9626 Tf 1.02 0 0 1 197.987 278.688 Tm [(The)-326(optional)-325(ar)18(gument)]TJ/F131 9.9626 Tf 1 0 0 1 306.11 278.688 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 330.339 278.688 Tm [(is)-326(available)-325(for)-326(those)-325(cases)-326(in)-325(which)]TJ 1.02 0 0 1 197.529 266.733 Tm [(the)-305(user)-305(has)-305(alr)17(eady)-305(established)-305(a)-305(global-to-local)-305(mapping;)-335(if)-305(it)-305(is)]TJ 1.001 0 0 1 197.529 254.778 Tm [(speci\002ed,)-250(each)-250(index)-250(in)]TJ/F131 9.9626 Tf 1 0 0 1 302.65 254.778 Tm [(vl\050i\051)]TJ/F84 9.9626 Tf 1.001 0 0 1 331.295 254.778 Tm [(will)-250(be)-250(mapped)-250(to)-250(the)-250(corr)18(esponding)]TJ 1.02 0 0 1 197.529 242.823 Tm [(local)-275(index)]TJ/F131 9.9626 Tf 1 0 0 1 249.36 242.823 Tm [(lidx\050i\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 285.973 242.823 Tm [(.)-393(When)-275(specifying)-275(the)-274(ar)17(gument)]TJ/F131 9.9626 Tf 1 0 0 1 434.697 242.823 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 458.411 242.823 Tm [(the)-275(user)]TJ 1.02 0 0 1 197.111 230.868 Tm [(would)-297(also)-297(likely)-296(employ)]TJ/F131 9.9626 Tf 1 0 0 1 315.53 230.868 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 339.468 230.868 Tm [(in)-297(calls)-297(to)]TJ/F131 9.9626 Tf 1 0 0 1 386.066 230.868 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.02 0 0 1 436.156 230.868 Tm [(and)]TJ/F131 9.9626 Tf 1 0 0 1 456.376 230.868 Tm [(local)]TJ/F84 9.9626 Tf 1.02 0 0 1 485.545 230.868 Tm [(in)]TJ 1 0 0 1 197.529 218.912 Tm [(calls)-250(to)]TJ/F131 9.9626 Tf 33.096 0 Td [(psb_spins)]TJ/F84 9.9626 Tf 49.563 0 Td [(and)]TJ/F131 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
+/F84 9.9626 Tf 1.02 0 0 1 147.178 278.688 Tm [(The)-326(optional)-325(ar)18(gument)]TJ/F145 9.9626 Tf 1 0 0 1 255.3 278.688 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 279.53 278.688 Tm [(is)-326(available)-325(for)-326(those)-325(cases)-326(in)-325(which)]TJ 1.02 0 0 1 146.72 266.733 Tm [(the)-305(user)-305(has)-305(alr)18(eady)-306(established)-305(a)-305(global-to-local)-305(mapping;)-335(if)-305(it)-305(is)]TJ 1.001 0 0 1 146.72 254.778 Tm [(speci\002ed,)-250(each)-250(index)-250(in)]TJ/F145 9.9626 Tf 1 0 0 1 251.841 254.778 Tm [(vl\050i\051)]TJ/F84 9.9626 Tf 1.001 0 0 1 280.486 254.778 Tm [(will)-250(be)-250(mapped)-250(to)-250(the)-250(corr)18(esponding)]TJ 1.02 0 0 1 146.72 242.823 Tm [(local)-275(index)]TJ/F145 9.9626 Tf 1 0 0 1 198.551 242.823 Tm [(lidx\050i\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 235.163 242.823 Tm [(.)-393(When)-275(specifying)-275(the)-274(ar)17(gument)]TJ/F145 9.9626 Tf 1 0 0 1 383.887 242.823 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 407.601 242.823 Tm [(the)-275(user)]TJ 1.02 0 0 1 146.301 230.868 Tm [(would)-297(also)-297(likely)-297(employ)]TJ/F145 9.9626 Tf 1 0 0 1 264.721 230.868 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 288.659 230.868 Tm [(in)-297(calls)-297(to)]TJ/F145 9.9626 Tf 1 0 0 1 335.257 230.868 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.02 0 0 1 385.346 230.868 Tm [(and)]TJ/F145 9.9626 Tf 1 0 0 1 405.567 230.868 Tm [(local)]TJ/F84 9.9626 Tf 1.02 0 0 1 434.735 230.868 Tm [(in)]TJ 1 0 0 1 146.72 218.912 Tm [(calls)-250(to)]TJ/F145 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F84 9.9626 Tf 49.564 0 Td [(and)]TJ/F145 9.9626 Tf 19.357 0 Td [(psb_geins)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(2.3.1)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F75 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
+/F75 9.9626 Tf -171.007 -15.593 Td [(nl)]TJ
 0 g 0 G
-/F84 9.9626 Tf 0.98 0 0 1 189.997 203.319 Tm [(If)-247(this)-248(ar)19(gument)-247(is)-248(speci\002ed)-247(alone)-247(\050i.e.)-314(without)]TJ/F131 9.9626 Tf 1 0 0 1 393.086 203.319 Tm [(vl)]TJ/F84 9.9626 Tf 0.98 0 0 1 403.547 203.319 Tm [(\051)-247(the)-247(r)18(esult)-247(is)-248(a)-247(gener)18(-)]TJ 0.98 0 0 1 197.529 191.364 Tm [(alized)-250(r)18(ow-block)-250(distribution)-250(in)-250(which)-251(each)-250(pr)19(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 423.173 191.364 Tm [(I)]TJ/F84 9.9626 Tf 0.98 0 0 1 429.466 191.364 Tm [(gets)-250(assigned)-250(a)]TJ 1 0 0 1 197.529 179.408 Tm [(consecutive)-250(chunk)-250(of)]TJ/F78 9.9626 Tf 95.904 0 Td [(N)]TJ/F78 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F181 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F84 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
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X"5	"
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+~~~
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 %%EOF
diff --git a/docs/src/biblio.tex b/docs/src/biblio.tex
index 41fa7ddda..ed22734b5 100644
--- a/docs/src/biblio.tex
+++ b/docs/src/biblio.tex
@@ -151,9 +151,9 @@ Lawson, C.,  Hanson, R., Kincaid, D. and Krogh, F.,
   of partial differential equations.}
 {ACM Trans. Math. Softw.} vol.~{23}, 32--49.
 \bibitem{metcalf}
-{Metcalf, M., Reid, J. and Cohen, M.}
-{\em Fortran 95/2003 explained.}
-{Oxford University Press}, 2004.
+{Metcalf, M., Reid, J.,  Cohen, M., Bader, R.}
+{\em Modern Fortran  explained.}
+{Oxford University Press}, 2024.
 %
 \bibitem{MRC:11}
 {Metcalf, M., Reid, J. and Cohen, M.}
diff --git a/docs/src/cuda.tex b/docs/src/cuda.tex
index 31dfc7b13..e075ada81 100644
--- a/docs/src/cuda.tex
+++ b/docs/src/cuda.tex
@@ -203,13 +203,13 @@ Get number of devices available on current computing node.
 
 \ifpdf
 \begin{minted}[breaklines=true]{fortran}
-ngpus =  psb_cuda_getDevice()
+dev =  psb_cuda_getDevice()
 \end{minted}
 \else
 \begin{center}
     \begin{minipage}[tl]{0.9\textwidth}
 \begin{verbatim} 
-ngpus =  psb_cuda_getDevice()
+dev =  psb_cuda_getDevice()
 \end{verbatim}
     \end{minipage}
   \end{center}
diff --git a/docs/src/intro.tex b/docs/src/intro.tex
index cdbe09d55..cf1e0f27e 100644
--- a/docs/src/intro.tex
+++ b/docs/src/intro.tex
@@ -1,3 +1,60 @@
+\section*{Preface}
+\addcontentsline{toc}{section}{Preface}
+This manual describes the main features of PSBLAS, a library for
+parallel sparse computations that  has been developed over a number of
+years.
+
+Our work has been mainly devoted to providing a foundational toolkit
+on which many algorithms can be implemented; the toolkit has proven
+its effectiveness and flexibility in many ways.
+The PSBLAS component deals mostly with the computational kernels and
+environment handling; it supports computations on normal CPUs,
+including the usage of OpenMP for parallellizing across multiple
+cores.
+
+This foundational package provides linear solvers and some very
+simple preconditioners; the companion package AMG4PSBLAS explores how
+to use the base toolkit to build much more sophisticated
+preconditioners which can be plugged seamlessly into the base solvers.  
+
+The software architecture allows us to offer support for many
+alternatives in the implementation, including usage of
+heterogeneous platforms, and computations performed on GPUs throuh
+CUDA. 
+There is support for GPU computations through OpenACC, but it is at
+this time a highly experimental version; we plan to also look at using 
+accelerators through OpenMP as support from compilers improves.
+
+The project is lead by Salvatore Filippone; a number of people have been contributing to this package over the
+years; contributors in roughly reverse chronological order:
+\begin{obeylines}
+ Theophane  Loloum
+ Fabio      Durastante
+ Dimitri    Walther
+ Andea      Di Iorio
+ Stefano    Petrilli
+ Soren 	   Rasmussen
+ Zaak       Beekman
+ Ambra	   Abdullahi Hassan
+ Pasqua	   D'Ambra
+ Alfredo    Buttari
+ Daniela    di Serafino
+ Michele    Martone
+ Michele    Colajanni
+ Fabio      Cerioni
+ Stefano    Maiolatesi
+ Dario      Pascucci
+\end{obeylines}
+
+\begin{flushright}
+  Salvatore Filippone\\
+  Alfredo Buttari\\
+  Fabio Durastante
+\end{flushright}
+\clearpage
+
+
+
 \section{Introduction}\label{sec:intro}
 
 The PSBLAS library, developed with the aim to facilitate the
@@ -12,19 +69,20 @@ addresses a distributed memory execution model operating with message
 passing. 
 
 The PSBLAS library version 3 is  implemented in
- the Fortran~2003~\cite{metcalf} programming language, with reuse and/or
+ the Fortran~2008~\cite{metcalf} programming language, with reuse and/or
  adaptation of  existing Fortran~77 and Fortran~95 software, plus a
  handful of C  routines. 
 
-The use of Fortran~2003 offers a number of advantages over Fortran~95,
+The use of Fortran~2008 offers a number of advantages over Fortran~95,
 mostly in the handling of requirements for evolution and adaptation of
 the library to new computing architectures and integration of
 new algorithms. 
 For a detailed discussion of our design see~\cite{Sparse03}; other
-works discussing advanced programming in Fortran~2003
+works discussing advanced programming in Fortran~2008
 include~\cite{DesPat:11,RouXiaXu:11}; sufficient support for
-Fortran~2003 is now available from many compilers, including the GNU
-Fortran compiler from the Free Software Foundation (as of version 4.8). 
+Fortran~2008 is now available from many compilers, including recent
+versions of the GNU Fortran compiler from the Free Software
+Foundation, and the FLANG compiler from the LLVM project.  
 
 
 Previous approaches have been based on mixing Fortran~95, with its
@@ -83,7 +141,7 @@ influenced by the structure of the ScaLAPACK parallel
 library.  The layered structure of the PSBLAS library
 is shown in figure~\ref{fig:psblas}; lower layers of the library
 indicate an encapsulation relationship with upper layers. The ongoing
-discussion focuses on the Fortran~2003 layer immediately below the
+discussion focuses on the Fortran~2008 layer immediately below the
 application layer.
 The serial parts of the computation on each process are executed through
 calls to the serial sparse BLAS subroutines. 
@@ -257,7 +315,7 @@ systems solution for block diagonal matrices;
 \item Sparse matrix and data distribution preprocessing.
 \end{itemize} 
 \item[Preconditioner routines]
-\item[Iterative methods] a subset of Krylov subspace iterative
+\item[Iterative methods] a subset of classical and Krylov subspace iterative
   methods
 \end{description}
 The following naming scheme has been adopted for all the symbols
diff --git a/docs/src/penv.tex b/docs/src/penv.tex
index 38da5ad0e..31c2fc2ed 100644
--- a/docs/src/penv.tex
+++ b/docs/src/penv.tex
@@ -327,7 +327,7 @@ Default:  both fields are selected (i.e. require synchronous completion).\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -345,7 +345,7 @@ Type, kind, rank and size must agree on all processes.
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -442,7 +442,7 @@ Default:  both fields are selected (i.e. require synchronous completion).\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -459,7 +459,7 @@ Type, kind, rank and size must agree on all processes.
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -555,7 +555,7 @@ Default:  both fields are selected (i.e. require synchronous completion).\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -573,7 +573,7 @@ Type, kind, rank and size must agree on all processes.
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -668,7 +668,7 @@ Default:  both fields are selected (i.e. require synchronous completion).\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -686,7 +686,7 @@ Type, kind, rank and size must agree on all processes.
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -781,7 +781,7 @@ Default:  both fields are selected (i.e. require synchronous completion).\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -799,7 +799,7 @@ Type, kind, rank and size must agree on all processes.
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -894,7 +894,7 @@ Default:  both fields are selected (i.e. require synchronous completion).\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -912,7 +912,7 @@ Type, kind, rank and size must agree on all processes.
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -1007,7 +1007,7 @@ Default:  both fields are selected (i.e. require synchronous completion).\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
@@ -1025,7 +1025,7 @@ Kind, rank and size must agree on all processes.
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
 Intent: {\bf inout}.\\
-If \verb|mode| does not specify synchronous completion, then this
+If \verb|mode| specifies non-blocking action, then this
 variable must be present.
 \end{description}
 
diff --git a/docs/src/precs.tex b/docs/src/precs.tex
index c872aa03b..767f29df8 100644
--- a/docs/src/precs.tex
+++ b/docs/src/precs.tex
@@ -314,7 +314,8 @@ An integer value; 0 means no error has been detected.
 \end{description}
 {\par\noindent\large\bfseries Notes}
 This method is almost always called  by the iterative methods of
-Sec.~\ref{sec:methods}, and practically  never directly by the user.
+Sec.~\ref{sec:methods}; it is extremely unlikely to be needed directly
+by the application developer.
 
 
 \clearpage\subsection{descr --- Prints a description of current
diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex
index 0c18c5dd5..a78805e90 100644
--- a/docs/src/userguide.tex
+++ b/docs/src/userguide.tex
@@ -134,8 +134,9 @@
 \flushright
 {\bfseries 
 by Salvatore Filippone\\
-and Alfredo Buttari}\\ 
-Aug 1st, 2024
+Alfredo Buttari \\
+Fabio Durastante}\\ 
+Jun 1st, 2025
 \end{minipage}}
 }
 %\addtolength{\textwidth}{\centeroffset}
diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex
index 525fb895e..eced4fb21 100644
--- a/docs/src/userhtml.tex
+++ b/docs/src/userhtml.tex
@@ -99,13 +99,14 @@
 {\LARGE\bfseries PSBLAS\\[.8ex] User's and Reference
   Guide}\\[\baselineskip]
 \emph{\large A reference guide for the Parallel Sparse BLAS library}\\[3ex]
-{\bfseries Salvatore Filippone\\
-   Alfredo Buttari } \\
+{\bfseries by Salvatore Filippone\\
+Alfredo Buttari \\
+Fabio Durastante } \\
 %\\[10ex]
 %\today
 Software version: 3.9.0\\
 %\today
-Aug 1st, 2024
+Jun  1st, 2025
 \cleardoublepage
 \begingroup
   \renewcommand*{\thepage}{toc}