From eefc67bbdde3d61f2734ec56fda0cdf5265ab6f6 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sat, 16 Nov 2024 10:50:31 +0100 Subject: [PATCH] Docs and krylov->linsolve changes --- docs/html/userhtml33x.png | Bin 1834 -> 1679 bytes docs/html/userhtml34x.png | Bin 0 -> 2164 bytes docs/html/userhtml35x.png | Bin 0 -> 1485 bytes docs/html/userhtml36x.png | Bin 0 -> 1499 bytes docs/html/userhtml7.html | 4 +- docs/html/userhtmlse2.html | 127 +- docs/html/userhtmlse3.html | 51 +- docs/psblas-3.9.pdf | 9629 +++++++++++++++-------------- docs/src/datastruct.tex | 13 +- docs/src/intro.tex | 41 +- test/hello/Makefile | 2 +- test/kernel/Makefile | 2 +- test/omp/Makefile | 2 +- test/omp/psb_tomp.F90 | 2 +- test/openacc/Makefile | 2 +- test/openacc/psb_d_oacc_pde3d.F90 | 2 +- test/serial/Makefile | 2 +- test/torture/Makefile | 2 +- test/util/Makefile | 2 +- 19 files changed, 4995 insertions(+), 4888 deletions(-) create mode 100644 docs/html/userhtml34x.png create mode 100644 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-

3The subroutine style psb_precinit and psb_precbl _precbld are still supported for backward compatibility

diff --git a/docs/html/userhtmlse2.html b/docs/html/userhtmlse2.html index b2cab256..2c1c4c11 100644 --- a/docs/html/userhtmlse2.html +++ b/docs/html/userhtmlse2.html @@ -432,18 +432,18 @@ matrix/vector creation and linear system solution as follows:

  • Initialize parallel environment with psb_init +class="cmtt-10">psb_init;

  • Initialize index space with psb_cdall +class="cmtt-10">psb_cdall;

  • Allocate sparse matrix and dense vectors with psb_spall and psb_geall +class="cmtt-10">psb_geall;

  • @@ -459,12 +459,12 @@ class="cmtt-10">psb_geins

  • psb_cdasb +class="cmtt-10">psb_cdasb,

  • psb_spasb +class="cmtt-10">psb_spasb, @@ -472,106 +472,118 @@ class="cmtt-10">psb_spasb

  • psb_geasb

    • +class="cmtt-10">psb_geasb;

  • Choose the preconditioner to be used with prec%init and build it with +class="cmtt-10">prec%init and prec%set, and build it with prec%build3 . + id="x4-6019f3"> ;

  • -

    Call the iterative driver psb_krylov 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 time +

    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 descriptor +

      Loop over the topology of the discretization mesh and build the descriptor with psb_cdins +class="cmtt-10">psb_cdins;

    4. -

      Assemble the descriptor with psb_cdasb +

      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 +class="cmtt-10">psb_geall;

    6. -

      Loop over the time steps: +

      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 them +

        Loop over the mesh, generate the coefficients and insert/update them with psb_spins and psb_geins +class="cmtt-10">psb_geins;

      3. -

        Assemble with

        Assemble with psb_spasb and psb_geasb +class="cmtt-10">psb_geasb;

      4. -

        Choose and build preconditioner with prec%init and prec%build +

      5. -

        Call the iterative method of choice, e.g. psb_bicgstab

      +

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

      7. +
    7. +

      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 + + + performng value would depend on both the architecture of the computer being used and on the problem structure. At the opposite extreme, it would be possible to generate the entire part of a coefficient matrix residing on a @@ -579,40 +591,37 @@ 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 +

    PSBLAS supports user-defined global to local index mappings, subject to the constraints outlined in sec. 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 +

      Initialize index space with psb_cdall(ictx,desc,info,vl=vl,lidx=lidx) passing the vectors lidx(:) containing the corresponding local

    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. -

      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 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) +

    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 are only acting on the local data structures, and thus may be called independently. @@ -667,21 +676,21 @@ 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 016e8a9f..791a901e 100644 --- a/docs/html/userhtmlse3.html +++ b/docs/html/userhtmlse3.html @@ -2559,17 +2559,17 @@ Scaling or Block Jacobi with incomplete factorization ILU(0).

    A preconditioner is held in the psb_prec_Tprec_type data structure reported in figure 4. The psb_prec_type data type may contain a simple preconditioning matrix -with the associated communication descriptor.The internal preconditioner is +href="#x8-53001r4">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. -

    @@ -2577,7 +2577,7 @@ preconditioner.
    -

    +

     
   type psb_Tprec_type
@@ -2585,7 +2585,7 @@ preconditioner.
   end type psb_Tprec_type
    -

    +


    Listing 4: The PSBLAS defined data type that contains a preconditioner.
    @@ -2595,70 +2595,71 @@ class="content">The PSBLAS defined data type that contains a preconditioner.

    3.5 Heap data structure

    -

    Among the tools routines of sec. 

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

    -

    +

    psb_T_heap

    -

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

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

    -

    +

    psb_T_idx_heap

    -

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

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

    -

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

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

    -

    +

    init

    -

    Initialize memory; also choose ascending or descending order; +

    Initialize memory; also choose ascending or descending order;

    -

    +

    howmany

    -

    Current heap occupancy; +

    Current heap occupancy;

    -

    +

    insert

    -

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

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

    -

    +

    get_first

    -

    Remove and return the first element; +

    Remove and return the first element;

    -

    +

    dump

    -

    Print on file; +

    Print on file;

    -

    +

    free

    -

    Release memory.

    -

    These objects are used in AMG4PSBLAS to implement the factorization algorithms. +

    Release memory. +

    These objects are used to implement the factorization and approximate inversion +algorithms. diff --git a/docs/psblas-3.9.pdf b/docs/psblas-3.9.pdf index fe0bb60b..f5ba78e8 100644 --- a/docs/psblas-3.9.pdf +++ b/docs/psblas-3.9.pdf @@ -4931,7 +4931,7 @@ endstream endobj 946 0 obj << -/Length 8378 +/Length 8496 >> stream 0 g 0 G @@ -4941,37 +4941,37 @@ BT 0 g 0 G 12.453 -20.571 Td [(1.)]TJ 0 g 0 G - [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F67 9.9626 Tf 171.465 0 Td [(psb_init)]TJ + [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F67 9.9626 Tf 171.465 0 Td [(psb_init)]TJ/F62 9.9626 Tf 41.843 0 Td [(;)]TJ 0 g 0 G -/F62 9.9626 Tf -171.465 -20.787 Td [(2.)]TJ + -213.308 -20.787 Td [(2.)]TJ 0 g 0 G - [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F67 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ + [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F67 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G -/F62 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ + -177.562 -20.788 Td [(3.)]TJ 0 g 0 G - [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F67 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F62 9.9626 Tf 49.274 0 Td [(and)]TJ/F67 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ + [-500(Allocate)-193(sparse)-193(matrix)-193(and)-194(dense)-193(vectors)-193(with)]TJ/F67 9.9626 Tf 213.906 0 Td [(psb_spall)]TJ/F62 9.9626 Tf 48.997 0 Td [(and)]TJ/F67 9.9626 Tf 18.791 0 Td [(psb_geall)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G -/F62 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ + -328.767 -20.787 Td [(4.)]TJ 0 g 0 G - [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.454 -11.955 Td [(them)-250(with)]TJ/F67 9.9626 Tf 47.849 0 Td [(psb_spins)]TJ/F62 9.9626 Tf 49.564 0 Td [(and)]TJ/F67 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ + [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.453 -11.955 Td [(them)-250(with)]TJ/F67 9.9626 Tf 47.85 0 Td [(psb_spins)]TJ/F62 9.9626 Tf 49.564 0 Td [(and)]TJ/F67 9.9626 Tf 19.357 0 Td [(psb_geins)]TJ 0 g 0 G -/F62 9.9626 Tf -129.225 -20.787 Td [(5.)]TJ +/F62 9.9626 Tf -129.224 -20.787 Td [(5.)]TJ 0 g 0 G [-500(Assemble)-250(the)-250(various)-250(entities:)]TJ 0 g 0 G 17.774 -20.787 Td [(\050a\051)]TJ 0 g 0 G -/F67 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ +/F67 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(,)]TJ 0 g 0 G -/F62 9.9626 Tf -17.125 -16.371 Td [(\050b\051)]TJ + -64.198 -16.371 Td [(\050b\051)]TJ 0 g 0 G -/F67 9.9626 Tf 17.125 0 Td [(psb_spasb)]TJ +/F67 9.9626 Tf 17.125 0 Td [(psb_spasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(,)]TJ 0 g 0 G -/F62 9.9626 Tf -16.039 -16.371 Td [(\050c\051)]TJ + -63.112 -16.371 Td [(\050c\051)]TJ 0 g 0 G -/F67 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ +/F67 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G -/F62 9.9626 Tf 122.541 -29.888 Td [(6)]TJ + 75.468 -29.888 Td [(6)]TJ 0 g 0 G ET @@ -4979,7 +4979,7 @@ endstream endobj 959 0 obj << -/Length 7484 +/Length 8091 >> stream 0 g 0 G @@ -4988,59 +4988,62 @@ stream BT /F62 9.9626 Tf 112.349 706.129 Td [(6.)]TJ 0 g 0 G - [-500(Choose)-301(the)-300(pr)18(econditioner)-301(to)-300(be)-301(used)-300(with)]TJ/F67 9.9626 Tf 205.537 0 Td [(prec%init)]TJ/F62 9.9626 Tf 50.068 0 Td [(and)-301(build)-300(it)-301(with)]TJ/F67 9.9626 Tf -243.152 -11.955 Td [(prec%build)]TJ + [-500(Choose)-216(t)1(he)-216(pr)18(econditioner)-216(t)1(o)-216(be)-216(used)-215(with)]TJ/F67 9.9626 Tf 199.607 0 Td [(prec%init)]TJ/F62 9.9626 Tf 49.22 0 Td [(and)]TJ/F67 9.9626 Tf 19.014 0 Td [(prec%set)]TJ/F62 9.9626 Tf 41.843 0 Td [(,)-222(and)]TJ -297.231 -11.955 Td [(build)-250(it)-250(with)]TJ/F67 9.9626 Tf 57.274 0 Td [(prec%build)]TJ 0 0 1 rg 0 0 1 RG -/F62 7.5716 Tf 52.303 3.616 Td [(3)]TJ +/F62 7.5716 Tf 52.304 3.616 Td [(3)]TJ 0 g 0 G -/F62 9.9626 Tf 4.284 -3.616 Td [(.)]TJ +/F62 9.9626 Tf 4.284 -3.616 Td [(;)]TJ 0 g 0 G - -69.04 -22.307 Td [(7.)]TJ + -126.315 -18.801 Td [(7.)]TJ 0 g 0 G - [-500(Call)-190(the)-190(iterative)-190(driver)]TJ/F67 9.9626 Tf 115.326 0 Td [(psb_krylov)]TJ/F62 9.9626 Tf 54.196 0 Td [(with)-190(the)-190(method)-190(of)-190(choice,)-202(e.g.)]TJ/F67 9.9626 Tf 134.982 0 Td [(bicgstab)]TJ/F62 9.9626 Tf 41.843 0 Td [(.)]TJ -358.801 -21.712 Td [(This)-250(is)-250(the)-250(str)8(uctur)18(e)-250(of)-250(the)-250(sample)-250(pr)18(ograms)-250(in)-250(the)-250(dir)18(ectory)]TJ/F67 9.9626 Tf 266.418 0 Td [(test/pargen/)]TJ/F62 9.9626 Tf 62.764 0 Td [(.)]TJ -314.238 -12.551 Td [(For)-257(a)-258(simulation)-257(in)-257(which)-257(the)-258(same)-257(discr)18(etization)-257(mesh)-257(is)-258(used)-257(over)-257(multi-)]TJ -14.944 -11.955 Td [(ple)-250(time)-250(steps,)-250(the)-250(following)-250(str)8(uctur)18(e)-250(may)-250(be)-250(mor)18(e)-250(appr)18(opriate:)]TJ + [-500(Call)-190(one)-190(of)-190(the)-190(iterative)-190(drivers)-190(with)-190(the)-190(method)-190(of)-190(choice,)-202(e.g.)]TJ/F67 9.9626 Tf 283.085 0 Td [(psb_krylov)]TJ/F62 9.9626 Tf -270.632 -11.955 Td [(with)]TJ/F67 9.9626 Tf 22.744 0 Td [(bicgstab)]TJ/F62 9.9626 Tf 41.843 0 Td [(.)]TJ -89.494 -17.676 Td [(This)-250(is)-250(the)-250(str)8(uctur)18(e)-250(of)-250(the)-250(sample)-250(pr)18(ograms)-250(in)-250(the)-250(dir)18(ectory)]TJ/F67 9.9626 Tf 266.418 0 Td [(test/pargen/)]TJ/F62 9.9626 Tf 62.764 0 Td [(.)]TJ -314.238 -11.955 Td [(For)-257(a)-258(simulation)-257(in)-257(which)-257(the)-258(same)-257(discr)18(etization)-257(mesh)-257(is)-258(used)-257(over)-257(multi-)]TJ -14.944 -11.955 Td [(ple)-250(time)-250(steps,)-250(the)-250(following)-250(str)8(uctur)18(e)-250(may)-250(be)-250(mor)18(e)-250(appr)18(opriate:)]TJ 0 g 0 G - 12.454 -21.712 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[(4.)]TJ + -97.384 -18.801 Td [(4.)]TJ 0 g 0 G - [-500(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F67 9.9626 Tf 144.386 0 Td [(psb_cdasb)]TJ + [-500(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F67 9.9626 Tf 144.386 0 Td [(psb_cdasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G -/F62 9.9626 Tf -144.386 -22.307 Td [(5.)]TJ + -191.459 -18.8 Td [(5.)]TJ 0 g 0 G - [-500(Allocate)-190(the)-190(sparse)-190(matrices)-190(and)-190(dense)-190(vectors)-190(with)]TJ/F67 9.9626 Tf 237.676 0 Td [(psb_spall)]TJ/F62 9.9626 Tf 48.966 0 Td [(and)]TJ/F67 9.9626 Tf 18.759 0 Td [(psb_geall)]TJ + [-500(Allocate)-190(the)-190(sparse)-190(matrices)-190(and)-190(dense)-190(vectors)-190(with;)]TJ/F67 9.9626 Tf 240.366 0 Td [(psb_spall)]TJ/F62 9.9626 Tf 48.966 0 Td [(and)]TJ/F67 9.9626 Tf 18.759 0 Td [(psb_geall)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G -/F62 9.9626 Tf -305.401 -22.308 Td [(6.)]TJ + -355.164 -18.801 Td [(6.)]TJ 0 g 0 G [-500(Loop)-250(over)-250(the)-250(time)-250(steps:)]TJ 0 g 0 G 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R[ИoNng IF:?tؐSUOcj2Cm[O7>kWkX' #t'Xd9+E7Nd8{]m/ ׎dvYYwop!EP7F?ojP9"gBP;B^QO3*B 3un$I_Oe` +$`}-9Q/ĥMe?Ұh]b _2<͖+tª[ϜJO@%MI tv\/bMVF05+kI2W9>f} Ķ3tj|" +[LhY)o57k#%H\,x|ssxH͆|;` v%گT[c]e"GUj߫ytvx:udQuZy_Td"b+O]lx'6w6XCDKOf(g@w]fV[~1F^A3v Ovү2v +zT0b#[zyϒ$e1k5dRA`(Ņ@{=yW>>y@U;=H;c{30ü^ծ)ՙ-{OO2R´xQwBgБS"תlbz;Iy\EprkM @@e&3lʉtS%)/pR"2u +Ee5+ٰsZ'bQSlj zvހ~%.Kz\NE,eV2=Mo)-JcV:U2Ѹ>1ȓ"QWOё4*Oz.cjcY&=7Y,A5nIF/?̊ ]as.N/CջtHG50x}eb9S&0rJHN\?^4'bɻ':K`wpcT!_ H݊{}HmZto7ʫߑQǷbi>ܜZOddFտcc +$" |hJQvB'\%63J)Ag+TʍrnLON@EzHr$d(|*ztiF Ո&{5rT[)C =tGeȾJ!De:1 4*rkdT^\(^卷|auj˕NזG߲ h$ ǙOpH.'H "&+t +d[ZϗE1Ékt/Ȕ7\xY +h^IJvh>\/?1X ǽnyWl.AkaiY4!@.SEg_;b$; tOEN,@}ˀg~Ռ f,tyyVc) vM/"{i ~?pշuCM D=ϵ0펐sίS΄V"'B &!U,)8RޒJRD0],Ҷ!?y)F 6.svW:iAaQ$gp$~PKx 8IJcxȐ6¯MHkbT':X I(t#+dԶdSTOhìtR<%(^0.9uUo4jѾ9fy)eYgSơ#K)AkW21#E~웗"@q3|aT =iPi~!z I&;Xԏeeg8:KDK[h$)Zd7ϒmQF*Tՙ> +stream +%!PS-AdobeFont-1.0: PazoMath 001.003 +%%CreationDate: Fri May 17 11:17:28 2002 +%%VMusage: 120000 150000 +11 dict begin +/FontInfo 14 dict dup begin +/version (001.003) readonly def +/Copyright ((c) Diego Puga, 2000, 2002.) readonly def +/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/FullName (Pazo Math) readonly def +/FamilyName (PazoMath) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def +/Weight (Regular) readonly def end readonly def +/FontName /IKXQUG+PazoMath def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 91 /bracketleft put -dup 93 /bracketright put -dup 61 /equal put -dup 40 /parenleft put -dup 41 /parenright put -dup 43 /plus put +dup 165 /infinity put +dup 229 /summation put readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def +/FontBBox {-40 -283 878 946} readonly def currentdict end currentfile eexec -oc;jAw-=%W)-{ru)rAE(@{빴Q|_R -ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ -}3{Z2zݬT2s$Z&{BJ{x< ,-.2iRnñvپ1䠕 '䓱_r"O_t3kefBݼVfj9ҳ Yh뀸{q-ɷ}W??gw1*Eh[:tWeI,v8a<{B100Z85|}Nlw]6Nbh3E`(Eޏ'Q;eԃ/.DyL5$4IG׮Ɋ\yj9.VU5Q!-赁B9dB^oVwBɎT7RsOGA b#TBv!mWT=w,ID%'MK<|]D@2O( ݎ%#_ɷVBST#z!${l\4ĸ ;5l&!〚=(fUwAeB#30>H 'L+֓jz@=s\<=\Y$D?U 6xGQnǫi%֔! -L2[)!fXc<'ȲRP3E!-:'AJ.IJCJJt&{76 -#VH/Fgw"F5wS$|oQ<Η `~<10|;,zɴ% -oߠx0sW1Fx gmxVyѝ"]#z~pv Ũ.rB9$nYCC1td@#8kNԋK;ԓlF( ،N;d*<Ʀs9ZQ@It%[)7&hn Y'a¶T'Xrߙ/n_nJL (@ -К -N{KF^kbn~`L]aU{vLܺ41$rmAsnZ*=sob@{y !CC{c.WZ0n bpgsPd$-\ԛ&L27JBs/g(xQ,t>[8͓GsŸ:R$9]6&my)ivjWLRB^RBalx_Y:5M/j١!}`D&WȪQX$HߧtI .Y@nr_n܁ OtAN-L n?_^_g~Ə;`KB6eĶ ->lQp)/;S' ^:tJj@xE(0G;κQqǔkT'; ÃDHjsrxܖ -.>֯kl;&#<ښe)fFz`Ƿ?Ic@SH&<evn8F\V3aA!yy:+c!xbM։/f}3ߖ˦"G'fMsXWU}Yĵ^ %j!HOH͎_;臲Jv]# -$'Ch?5u-G:zHZ\%Uv z^By%NT⸶3=X?mJ-3iH@ܐfσkR.v'm.'SDly7 YCm^Gu5_G1t/ -41n_D>}p+fg9h$]@M`^ҹGK;5wIrqA3fAYiuYrD:dR At -,)aɺh9[ԧuS9KTKaX$wgɓO[xqǃyI(j5LIc}|h$zDUwY+Z:ϤŜ1le`u@|܈贚^6/y`a [Ί`ҾEwa ziLa}jʰ@}xWns0n*{l?Zz>8p-L&ȣK`> `%`ݿs?v˻^\*QNbf+ۼބo" ٧U zgga䎐uFљ<Xyݸ*g4?X2]4H͢^qLeoU~ 7>)ƤHnA7"{DRj)ע~eVDJ|X}ѧCrTA fP};"ӼK#ΑTF\^ԓ ; |R D\Ă Hu6QИ'Q3b;x#3S:jb%tJ/>ʡOrVށx]>)]l5o[F;,N&'i\NQIH?T:@FN SX0<)hW4fFDh.سT)^S-nw}, ZNEC Y Rez3\ -tY5`F~_xU|'XLJG@U6I \>:V_>զ9*I0}ӵ\"{3UzuFf٤Pߨ)E8Uw)gq:dj#hq so -@ -KG7"|QЇ Zzs|}LմS:fmA3S 2=[dؓJ\ܳc|tj1ƛArѮJv,K| ϕVސ -Q[ AEKS/zKc -O,4e|{G#RvKy{ K1EVVwb6ª=yeeܑuE>M%;,1W}w ~hW _F9QcyE~fz\a:a<2euggSR1Eܝ(=F=;q')^1>u6 -G0+B+渞bqGYitLxRIPvhԥϋ^:nwp5>^؉R}4agl}^(t7a &)ZS8n}@f0;b.ۣEL7%3C,@7[I [1sIX<[f܌a:?y3"u/'\d Dӹ=qU kκH$ yQ7pl*mhS]AD5ƫ79 +oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1]mO CQC>iOLUO*TcTm(߀ 1U +nAYXU12rrE^Oy";Dm{O0 {2RBiNMufLon>Gl_1#Y> ؋nׯ ,G#IJ5.FE)a" pqo-4`7}ӺWt_ceuJh>>W! A5j-v`-?R tl.e)1=kdSi!5_l< -^+bގީܖnW%yg͚3N>Vp9e.ovh; ͍fW\^yя_ܓ'1︖œ]c*" 磺@A.XcǽD&(49g6vf4J ]5(W sԘtaȝ<[EpTU!JtО ?,L?!w sg0MhB1$sy8G(b>zuݬDoeHz)^0 +9JWf'UIcei+5H,r73g03{#Y_E^n2ݥ xdR$;9(fn*eHcAI#y`%,tŁ\ )_V+7\M7A4R"З@O!1$*ϤНsp%>*Ȗ, QɥH;Eٺ~b@n sXZۖ+ , +y#/!AL98Ta/eT,ut/u6~ 1QA\SW{N?2/G?E 8ӮchbK3q$;+^B(񬼨xฉk:wMX,Ӄ~R[&h8AS #L'ɧTp#{۪>;+⭼MuU[%V0EėٲC9؅Sםu^sI2\. +>j5xBĒڪ]˸f*g|x*cfr+B!H9R2H4^Ed>>J1uz&MLLioJ$!tFo_O>y,ު+#D qW2  tE"QIՅ.e]l w,*"Mf]i/FSꂒ.s_.n1 /8,}̨ W HFPsWkn3a9`6IݐWi>| =1uŪ4ԅXHAH +$-U3# +endstream +endobj +2243 0 obj +<< +/Length1 1188 +/Length2 2740 +/Length3 0 +/Length 3928 +>> +stream +%!PS-AdobeFont-1.0: PazoMath-Italic 001.003 +%%CreationDate: Fri May 17 11:17:28 2002 +%%VMusage: 120000 150000 +11 dict begin +/FontInfo 14 dict dup begin +/version (001.003) readonly def +/Copyright ((c) Diego Puga, 2000, 2002.) readonly def +/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/FullName (Pazo Math Italic) readonly def +/FamilyName (PazoMath) readonly def +/ItalicAngle -9.50 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/Weight (Regular) readonly def +end readonly def +/FontName /DUJUUF+PazoMath-Italic def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 97 /alpha put +dup 98 /beta put +readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def +/FontBBox {-70 -277 902 733} readonly def +currentdict end +currentfile eexec +oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1] +đg@F7pqӁ')jjOh%Ssq={.] ZO7єEՄ|۪uBwLÍ `'&0Cg)X0F?nY&8 ˹r]lpKGCpoğg\t/bj}t SEcqR7VL%Y'1b J71SU3=gO>bHt kKc:hA:F.xW(L^N1K @_P̹>nnof7-U El#+A5FԔkyt:RR2\3 l v"ڪ> V b/&"@4 +nD5tv_\$S|KpCO1vF^(By@`gFszV0Qn .T=>>rYA,{ɠQrF!s߸ߟ0׀ߎ5ˢV<4d(nLس[PC;+qޥK V:d&>J3)Q6P|B5 e )\@~7mknˋ$ԶܖP+C}o*( -.47W?8"N[.^7/Ɵ3/3j(ĦwN wLjC; f&cv^%:S,yr8N@K}m>KWKn9}%FSGhpxC(@rX#?F0ʃ#w^cuֻy"-lE#~%U1b[ ^•1@*rEPWS/?N!< e* Wxax"(Z5ŅQu? +UgH{@^Κ2]Ʀy1Q',XL kx2 ]mȌ0`픈p:*:_kp +ϊ%,vVb]2q2嶖ćVas |HzN@=ܫ7ikK\}pYNsS)# 􊄡c,E׀Z=D=0Maf~nľ4ߍš2Bob bObwww>|Gkh6p r[#P"77vE8ʖ$;E6zдR]}##+0"i%uCj,|aSVMx5p6Uj(mE*~mYdǡ旵w#`9k?)픥ZW|M%H*'a>"Vћw5t0QPGR%"*Bu+8~j X< @cNngYGй34 V])-l Ɋ5imՙUV#Ŷ{ۭls1we(\OL ER~[шPs1\zLDgSS[Oup6(@1RsP1 ?=E؜neM6N5w<3dq^cF)UI2M F~q +1йmدNIB}fȷ/ZMYE(Y֋'Ჹ +T;UF7<{LN-^(U'UAf0GivO0P$ 4Z@/.}L dlI/_f>k[WSʪ1<" ̣U3 lP.+\Bl{ɂH%չ'%@-ƺRS覟yNuE|v^+ZRkڜ[ȈRԶ0ZH: +wFe@g`!$ pepdw,,# ov>ժI83!/ J?|i$d_(/;b49%Xealwv_̹@drp.l䧏<ɁJt~M[y 3[{ endstream endobj -2239 0 obj +2245 0 obj << -/Length1 1688 -/Length2 8444 +/Length1 1756 +/Length2 19614 /Length3 0 -/Length 10132 ->> -stream -%!PS-AdobeFont-1.0: CMSY10 003.002 -%%Title: CMSY10 -%Version: 003.002 -%%CreationDate: Mon Jul 13 16:17:00 2009 -%%Creator: David M. Jones -%Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMSY10. -% This Font Software is licensed under the SIL Open Font License, Version 1.1. -% This license is in the accompanying file OFL.txt, and is also -% available with a FAQ at: http://scripts.sil.org/OFL. +/Length 21370 +>> +stream +%!PS-AdobeFont-1.0: LMRoman10-Regular 2.004 +%%CreationDate: 7th October 2009 +% Generated by MetaType1 (a MetaPost-based engine) +% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS). +% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG. +% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki +% from GUST (http://www.gust.org.pl). +% This work is released under the GUST Font License. +% For the most recent version of this license see +% This work has the LPPL maintenance status `maintained'. +% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki. +% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. +% ADL: 806 194 0 %%EndComments -FontDirectory/CMSY10 known{/CMSY10 findfont dup/UniqueID known{dup -/UniqueID get 5096651 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/LMRoman10-Regular known{/LMRoman10-Regular findfont dup/UniqueID known{dup +/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse -11 dict begin -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /VKSUEJ+CMSY10 def -/FontBBox {-29 -960 1116 775 }readonly def -/PaintType 0 def +17 dict begin /FontInfo 9 dict dup begin -/version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMSY10.) readonly def -/FullName (CMSY10) readonly def -/FamilyName (Computer Modern) readonly def -/Weight (Medium) readonly def -/ItalicAngle -14.04 def +/version(2.004)readonly def +/Notice(Copyright 2003--2009 by B. 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Jones -%Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMTT8. -% This Font Software is licensed under the SIL Open Font License, Version 1.1. -% This license is in the accompanying file OFL.txt, and is also -% available with a FAQ at: http://scripts.sil.org/OFL. +/Length 20803 +>> +stream +%!PS-AdobeFont-1.0: LMMono8-Regular 2.004 +%%CreationDate: 7th October 2009 +% Generated by MetaType1 (a MetaPost-based engine) +% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS). +% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG. +% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki +% from GUST (http://www.gust.org.pl). +% This work is released under the GUST Font License. +% For the most recent version of this license see +% This work has the LPPL maintenance status `maintained'. +% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki. +% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. +% ADL: 778 222 0 %%EndComments -FontDirectory/CMTT8 known{/CMTT8 findfont dup/UniqueID known{dup -/UniqueID get 5000830 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/LMMono8-Regular known{/LMMono8-Regular findfont dup/UniqueID known{dup +/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse -11 dict begin -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /HZGQIC+CMTT8 def -/FontBBox {-5 -232 545 699 }readonly def -/PaintType 0 def +17 dict begin /FontInfo 9 dict dup begin -/version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMTT8.) readonly def -/FullName (CMTT8) readonly def -/FamilyName (Computer Modern) readonly def -/Weight (Medium) readonly def -/ItalicAngle 0 def +/version(2.004)readonly def +/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def +/FullName(LMMono8-Regular)readonly def +/FamilyName(LMMono8)readonly def +/Weight(Normal)readonly def /isFixedPitch true def -/UnderlinePosition -100 def -/UnderlineThickness 50 def +/ItalicAngle 0 def +/UnderlinePosition -133 def +/UnderlineThickness 61 def end readonly def +/FontName /EOXOPS+LMMono8-Regular def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 98 /b put dup 99 /c put +dup 100 /d put dup 101 /e put dup 105 /i put dup 108 /l put @@ -32423,57 +32509,137 @@ dup 114 /r put dup 115 /s put dup 116 /t put readonly def +/PaintType 0 def +/FontType 1 def +/StrokeWidth 0 def +/FontMatrix[0.001 0 0 0.001 0 0]readonly def +%/UniqueID 0 def +/FontBBox{-456 -320 743 1014}readonly def currentdict end currentfile eexec -oc;jAw-24 WEvQC<3A2kX0k^|:ٴfb,|=sLu2KZ`3ndgRw@),q՜G<&h'. ΍883 ABAԾI$s@F25ڪ,i pK>6K` %E((bsP,WKT"0KDǯҖkIUܨf/+WN/r4qW@d̍OG|Babhy52+2upa,-I"MC㉮0גv\G\% ؊Z\+;7tamJsXPc0NqL%tWtį, );b&L}NֲGi$߲:[<+s\6qGq %E~@kִ[iYKq[ Pvbr~1z6>)廄\oxobBin\![(;"0:7w yqMomD$cqKRXr c3mx]FЅ4_~n} VFuM;[)(6!^c0?;mXBeotnEyx<Pq;A >O8}yf2rDՒ%s}w` Ӱߒ/3x6& ?gى.\YEII~:I`ԉlWI1{6oy"ޤW[͗#@xs*宓d4]'oK荛%~%j{|FA1@*z}\13%u}jy<=/ޠ6l@CC\+F!} k9I F _Wڪ+̚~"'K["Ş 4]#) l'iӥjI:]e '{Ͳ}|+nгΙY0ܬsdu;?Dz~!3ȷgǯ^@exVa؉HaĎqO*K{ډ %8;'FJ`K!-%lR,ܽx!z CB!1@ K=\ßߪb(m4wPZh6?@LC@8uw1rǿ$BKń -&̡Y5<1B dla;9^'lHn,W{Y[v +oc;j~EЪ%9.>XJٚмD"e?&oLH:]~nX%l޹dQ@a~M~EA˟V.UM؀")JY4қ UC92"\ܡw1rlxнtaA*`Jp[KLI5(ڶ>HVhg!M8yi4W~Ή\ef5SDy/sjeXQysCrny,qwʘN>~:ބ98>Æ0jE ۸t=xqsa2ԅ)cH.#{2V#B9;TOz9RBѹ:2@)sUFE+~`Ncd`XXyR1TuGxei}'hY̰Cs +Eϐ#poyL0 !~D,YJCސ}rH6ӌeN ӸlH>Mtnc=,L v~ޞ( vw*B@nx̽J 9܇A&oĬߞIdyzzg NA +})/ёZ=qx +xG~ƻxzW5@CtվЈTG=ظADŐ\g1*maXށfR +qu`e(š"av.{L#e(vKL9eLHAkά&I0q\JLh(Y|o=6[aEfI>8ɻ{O*dofkҢf8VJ:_#w.yoPxY/T0R|KYk+qHfƺ'/,:rSWUĎItG`㚺 +IB6mz |r3|=5#y.E\!.Z&f>hn<g:7SЋk4ݟH"{ 1{ZߛCp1(:_H.VO1|eXFu>fʌ PbėsqM?&ӧ40%sCdVL>xņz=5ՠˆ[R@rvyD{\r\,wH MvԆ`02w%}fdUu$x VECҥ\JX%xonNKP1:nIFZ8wGuuYS24_ۼ7hgst}՗/+S+ќ֒r_)ŰF3f(Q0$%²Eb*KV0 #x [&&Q>"@ hILƴ1MR~zYW@_, ݄|`٠mDm3,UwasIz;H"%)Nytk#ˢ$򢞏U/GI8nw'"q/ۨ3 dn_y닇/PBkN[hUmzIZ+(0/ë-AF2wȧ=\UBw[<$㏷au5G Q@O0LZ >Dɔ +_OXGs nNl +ƻ԰f{_kSx2c,P`M6~ȤTKa2YcަMkb;c1n=-Ⱥ! 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Jones -%Copyright: Copyright (c) 1997, 2009 American Mathematical Society -%Copyright: (), with Reserved Font Name CMTT9. -% This Font Software is licensed under the SIL Open Font License, Version 1.1. -% This license is in the accompanying file OFL.txt, and is also -% available with a FAQ at: http://scripts.sil.org/OFL. +/Length 27692 +>> +stream +%!PS-AdobeFont-1.0: LMMono9-Regular 2.004 +%%CreationDate: 7th October 2009 +% Generated by MetaType1 (a MetaPost-based engine) +% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS). +% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG. +% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki +% from GUST (http://www.gust.org.pl). +% This work is released under the GUST Font License. +% For the most recent version of this license see +% This work has the LPPL maintenance status `maintained'. +% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki. +% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. +% ADL: 778 222 0 %%EndComments -FontDirectory/CMTT9 known{/CMTT9 findfont dup/UniqueID known{dup -/UniqueID get 5000831 eq exch/FontType get 1 eq and}{pop false}ifelse +FontDirectory/LMMono9-Regular known{/LMMono9-Regular findfont dup/UniqueID known{dup +/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse -11 dict begin -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def -/FontName /RQJPKO+CMTT9 def -/FontBBox {-6 -233 542 698 }readonly def -/PaintType 0 def +17 dict begin /FontInfo 9 dict dup begin -/version (003.002) readonly def -/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMTT9.) readonly def -/FullName (CMTT9) readonly def -/FamilyName (Computer Modern) readonly def -/Weight (Medium) readonly def -/ItalicAngle 0 def +/version(2.004)readonly def +/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def +/FullName(LMMono9-Regular)readonly def +/FamilyName(LMMono9)readonly def +/Weight(Normal)readonly def /isFixedPitch true def -/UnderlinePosition -100 def -/UnderlineThickness 50 def +/ItalicAngle 0 def +/UnderlinePosition -150 def +/UnderlineThickness 67 def end readonly def +/FontName /TWMFXI+LMMono9-Regular def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 68 /D put @@ -32518,7 +32684,7 @@ dup 37 /percent put dup 46 /period put dup 43 /plus put dup 113 /q put -dup 13 /quotesingle put +dup 39 /quotesingle put dup 114 /r put dup 115 /s put dup 59 /semicolon put @@ -32535,172 +32701,255 @@ dup 121 /y put dup 122 /z put dup 48 /zero put readonly def -currentdict end -currentfile eexec -oc;jAw-=%W)-{ru)rAE(@{빴Q|_R -ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ -}3{Z2zݬT2s$Z&{BJ{=מ0).nBd^/!2-G+~b7 N&lds%o53NPc9U,Y뱂0L+OAdN;[9!"k_ӆ$Rb՘g uxVMhL$3Py5,o"7'*E<Zcb8r$`Fާ/r]:BI\$~=ԑψȜȿ!ꖲQS*_LyXg*!#B;Fdy9 vF.x&W܀cK[龭j - T-hj:ֲbcӢx~gk0^Z]Ψ&33g3wm2pBÌ:~qF邉u<^IE=*J.Zwc38Y.1jKAs;Ļ`R^yCQ4y &{uQgF -vlP︩ -e=Gylw -x]v&o9fiQpymQrijF\UBu :sy7R'T{cr/bzfuy-_Kh~ sӭ>a(zfz!#vZuZ"VUEɟw-@ i aI+ R̿P;XC 6e+je[7-^j[ -g93 ÅD c% ؙyJC=z[t vʩ>V3m9=Wp+l֏nׇ3g#7:Q@P~-u@ӱDV\sS;x; -J 'p -y?^CI $HGYt` \Lj%fxSڌrܾ0;=l;ÀMI>o C" - m޳I^:O|u.^Nuwb`95>dJJ 0Xp[tu^%ئ`' -0T I{ 6j=w ɽډ7Ș:{?lH)8OfmXn,ߗ Pii]X&Bx{5ǬfEޮDtz9nyB t+ 4,p$@x&|Ĩ4H~4J7B<«CP}uz|gr-:u[D\; }bUIS{27= FBk' - .~"tOz-3RٷZ[&hD|AQGCH :\'`aу2{=o>u&0߻;e01]V2c`CJ1/LW Yckɲ }c8LC|g%Y9.?e+PҁI4,}#yE؇]%T>},S !*. vt7[ORYSSԪ5՞l+>͎l6UY'_p%=]^:k2 b3Ҳvu\k!n2̋@Q*v}5z3mؚ/_~GfG쪑4,=5%ڹ]EHfnۀxRL/' 7.eϽaG}r -~) ]<$2uo6){QBX[#CI3je/NUX+`"P[\AXa|i Hnk, ? 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P17c߱9:/aSϴ؞sE]2SC1Z5 ~c8܇QOZ_1/Jڣ{rok'&O`4P;@/Qգ`7(z S ]Pr?^h| edMޖ=-35Вus 7 7&r"c.#mU'ֹZ?y`Y!xKc/Z (-2i4hY -CC'{iF<<"TJPraW? *5| a*ґ^~!^FlwԴu8XZ\tHHKXT&m<\Hnh"8Sɠ2v|Rqő'Q=:.IxyϏxdW*l{uuJr bD42vi"-7KLw@ l4%>ml (SbcjVg7hð|tt܇[h" "o֘'TKEA2I8ӀPT -@ {߬o[wr1|lq8͢/YxIJÔGT]2dF_8QA~C1}s,XT/W%)hg"^Y(NP鑸 u)ƣ;^|/>Ⱓ(Cdŧb|tfpm]vTmH3!40ub\I>U{l`p)Z%$7}zqQScR-)g׶iRpN -G|yTCc^;[6,#33$b4 ѧτXLAʒ,Iބ{ІϭtqC<5?H/+ԁ & -Zk`bZ} utq;z$,|u\ϧ O?"nY02{,yc-#:cɞ{t{)m}}G\c q2qA"}$T&] -§fˀlk wC~//v¡d9]%mf-}V]ebt+0 {Ն/J%,|9*yBu=M׌ oȡ>AMwOЧ -7;_:d:>OoD -\4 ?yɁLq9uȷ۠ -^Fv2pX !,x?%J;I WdKC(ɝc?Ʉ-y^tQ`-o23b$F#oum]AUYwሴ rDi@xߎ\S% oObE : }*EBҙ`%YyX>+G dLeuŅe✓6]6&m9=nP;O,^T乸s^VTK -P^0Wݶ' S>P Cڍ#tp'JyBv;KWTwg kTz7یPB/zҜ9*)CyJѽaXX1jm࣬1KʇzT겟j&[TtOu!Ņ9cP,c09׿5ԭpL+1CӺ @-GQPH$WD%4{ $9M|_y"=yɷ1^[N"yMc޲_~# 5"XqO]xevKr -endstream -endobj -2247 0 obj -<< -/Length1 1173 -/Length2 2916 -/Length3 0 -/Length 4089 ->> -stream -%!PS-AdobeFont-1.0: PazoMath 001.003 -%%CreationDate: Fri May 17 11:17:28 2002 -%%VMusage: 120000 150000 -11 dict begin -/FontInfo 14 dict dup begin -/version (001.003) readonly def -/Copyright ((c) Diego Puga, 2000, 2002.) readonly def -/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def -/FullName (Pazo Math) readonly def -/FamilyName (PazoMath) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -/Weight (Regular) readonly def -end readonly def -/FontName /IKXQUG+PazoMath def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 165 /infinity put -dup 229 /summation put -readonly def /PaintType 0 def /FontType 1 def -/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def -/FontBBox {-40 -283 878 946} readonly def +/StrokeWidth 0 def +/FontMatrix[0.001 0 0 0.001 0 0]readonly def +%/UniqueID 0 def +/FontBBox{-451 -318 734 1016}readonly def currentdict end currentfile eexec -oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1]mO CQC>iOLUO*TcTm(߀ 1U -nAYXU12rrE^Oy";Dm{O0 {2RBiNMufLon>Gl_1#Y> ؋nׯ ,G#IJ5.FE)a" pqo-4`7}ӺWt_ceuJh>>W! 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FR㚔eN QdWR-FIU;{)8=3}nyu~CT^<]\jmElDh{M5x%y:'|p 5͞g^)`B|پ1Olwv1'rLrMS-K1i+a"$$ +|;̸XٚJ#/1A_H.3hL ЫAM'bhލNe B'{t9,4S2f?;mPﶵeƻZvF#1\9I- + 7%LMnzlHݘUaQtBK)&盹j@A&YwZp@m3麢O*2nTzdz-E +?Z̎,k|-*6Z Zwޜ]j?KNOƱcƱstz%K<-|Zs͍ 6+DWF.[Oݏކ;'$:vk[hуɭPj%A*YS.q~QQOz~ú> 6i7}^FCQF'}3$Z4chnp ǧL`xR HI<>_ud?)9xc9 Lb(07DpG+FQ(Ie'0钧 B# +$;MgqqZ$cI%_E/JZ ؞Z1,+_I3AB%^GF-6AWL~=6>4P@x +Ub]>̦*4xmFû.L!86ƻIT"P\) endstream endobj -2249 0 obj +2253 0 obj << -/Length1 1188 -/Length2 2740 +/Length1 2210 +/Length2 15959 /Length3 0 -/Length 3928 ->> -stream -%!PS-AdobeFont-1.0: PazoMath-Italic 001.003 -%%CreationDate: Fri May 17 11:17:28 2002 -%%VMusage: 120000 150000 -11 dict begin -/FontInfo 14 dict dup begin -/version (001.003) readonly def -/Copyright ((c) Diego Puga, 2000, 2002.) readonly def -/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def -/FullName (Pazo Math Italic) readonly def -/FamilyName (PazoMath) readonly def -/ItalicAngle -9.50 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -/Weight (Regular) readonly def +/Length 18169 +>> +stream +%!PS-AdobeFont-1.0: LMMono10-Italic 2.004 +%%CreationDate: 7th October 2009 +% Generated by MetaType1 (a MetaPost-based engine) +% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS). +% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG. +% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki +% from GUST (http://www.gust.org.pl). +% This work is released under the GUST Font License. +% For the most recent version of this license see +% This work has the LPPL maintenance status `maintained'. +% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki. +% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. +% ADL: 778 222 0 +%%EndComments +FontDirectory/LMMono10-Italic known{/LMMono10-Italic findfont dup/UniqueID known{dup +/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse +17 dict begin +/FontInfo 9 dict dup begin +/version(2.004)readonly def +/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def +/FullName(LMMono10-Italic)readonly def +/FamilyName(LMMono10)readonly def +/Weight(Normal)readonly def +/isFixedPitch true def +/ItalicAngle -14.0362 def +/UnderlinePosition -167 def +/UnderlineThickness 69 def end readonly def -/FontName /DUJUUF+PazoMath-Italic def +/FontName /XVBOSG+LMMono10-Italic def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 97 /alpha put -dup 98 /beta put +dup 65 /A put +dup 67 /C put +dup 68 /D put +dup 69 /E put +dup 72 /H put +dup 73 /I put +dup 75 /K put +dup 76 /L put +dup 77 /M put +dup 80 /P put +dup 84 /T put +dup 86 /V put +dup 97 /a put +dup 99 /c put +dup 44 /comma put +dup 100 /d put +dup 101 /e put +dup 33 /exclam put +dup 102 /f put +dup 103 /g put +dup 104 /h put +dup 45 /hyphen put +dup 105 /i put +dup 107 /k put +dup 109 /m put +dup 110 /n put +dup 111 /o put +dup 112 /p put +dup 40 /parenleft put +dup 41 /parenright put +dup 46 /period put +dup 114 /r put +dup 115 /s put +dup 47 /slash put +dup 116 /t put +dup 119 /w put +dup 120 /x put +dup 121 /y put readonly def /PaintType 0 def /FontType 1 def -/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def -/FontBBox {-70 -277 902 733} readonly def +/StrokeWidth 0 def +/FontMatrix[0.001 0 0 0.001 0 0]readonly def +%/UniqueID 0 def +/FontBBox{-491 -316 834 1016}readonly def currentdict end currentfile eexec -oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1] -đg@F7pqӁ')jjOh%Ssq={.] ZO7єEՄ|۪uBwLÍ `'&0Cg)X0F?nY&8 ˹r]lpKGCpoğg\t/bj}t SEcqR7VL%Y'1b J71SU3=gO>bHt kKc:hA:F.xW(L^N1K @_P̹>nnof7-U El#+A5FԔkyt:RR2\3 l v"ڪ> V b/&"@4 -nD5tv_\$S|KpCO1vF^(By@`gFszV0Qn .T=>>rYA,{ɠQrF!s߸ߟ0׀ߎ5ˢV<4d(nLس[PC;+qޥK V:d&>J3)Q6P|B5 e )\@~7mknˋ$ԶܖP+C}o*( -.47W?8"N[.^7/Ɵ3/3j(ĦwN wLjC; f&cv^%:S,yr8N@K}m>KWKn9}%FSGhpxC(@rX#?F0ʃ#w^cuֻy"-lE#~%U1b[ ^•1@*rEPWS/?N!< e* Wxax"(Z5ŅQu? 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A preconditioner is held in the \hypertarget{precdata}{{\tt - psb\_prec\_type}} data structure reported in -figure~\ref{fig:prectype}. The \fortinline|psb_prec_type| + psb\_Tprec\_type}} data structure reported in +figure~\ref{fig:prectype}. The \fortinline|psb_Tprec_type| data type may contain a simple preconditioning matrix with the -associated communication descriptor.%% which may be different than the +associated communication descriptor. +%% which may be different from the %% system communication descriptor in the case of parallel %% preconditioners like the Additive Schwarz one. Then the -%% \fortinline|psb_prec_type| may contain more than one preconditioning matrix +%% \fortinline|psb_Tprec_type| may contain more than one preconditioning matrix %% like in the case of Two-Level (in general Multi-Level) preconditioners. %% The user can choose the type of preconditioner to be used by means of %% the \fortinline|psb_precset| subroutine; once the type of preconditioning @@ -1407,8 +1408,8 @@ Given a heap object, the following methods are defined on it: \item[dump] Print on file; \item[free] Release memory. \end{description} -These objects are used in AMG4PSBLAS to implement the factorization -algorithms. +These objects are used to implement the factorization +and approximate inversion algorithms. %%% Local Variables: %%% mode: latex diff --git a/docs/src/intro.tex b/docs/src/intro.tex index ca0b47ad..f4a70cf9 100644 --- a/docs/src/intro.tex +++ b/docs/src/intro.tex @@ -344,24 +344,25 @@ A simple application structure will walk through the index space allocation, matrix/vector creation and linear system solution as follows: \begin{enumerate} -\item Initialize parallel environment with \verb|psb_init| -\item Initialize index space with \verb|psb_cdall| +\item Initialize parallel environment with \verb|psb_init|; +\item Initialize index space with \verb|psb_cdall|; \item Allocate sparse matrix and dense vectors with \verb|psb_spall| - and \verb|psb_geall| + and \verb|psb_geall|; \item Loop over all local rows, generate matrix and vector entries, and insert them with \verb|psb_spins| and \verb|psb_geins| \item Assemble the various entities: \begin{enumerate} -\item \verb|psb_cdasb| -\item \verb|psb_spasb| -\item \verb|psb_geasb| +\item \verb|psb_cdasb|, +\item \verb|psb_spasb|, +\item \verb|psb_geasb|; \end{enumerate} \item Choose the preconditioner to be used with \verb|prec%init| and + \verb|prec%set|, and build it with \verb|prec%build|\footnote{The subroutine style {\tt - psb\_precinit} and {\tt psb\_precbl} are still supported for - backward compatibility}. -\item Call the iterative driver \verb|psb_krylov| with the method of - choice, e.g. \verb|bicgstab|. + psb\_precinit} and {\tt psb\_precbld} are still supported for + backward compatibility}; +\item Call one of the iterative drivers with the method of + choice, e.g. \verb|psb_krylov| with \verb|bicgstab|. \end{enumerate} This is the structure of the sample programs in the directory \verb|test/pargen/|. @@ -372,21 +373,23 @@ multiple time steps, the following structure may be more appropriate: \item Initialize parallel environment with \verb|psb_init| \item Initialize index space with \verb|psb_cdall| \item Loop over the topology of the discretization mesh and build the - descriptor with \verb|psb_cdins| -\item Assemble the descriptor with \verb|psb_cdasb| -\item Allocate the sparse matrices and dense vectors with - \verb|psb_spall| and \verb|psb_geall| + descriptor with \verb|psb_cdins|; +\item Assemble the descriptor with \verb|psb_cdasb|; +\item Allocate the sparse matrices and dense vectors with; + \verb|psb_spall| and \verb|psb_geall|; \item Loop over the time steps: \begin{enumerate} \item If after first time step, reinitialize the sparse matrix with \verb|psb_sprn|; also zero out the dense vectors; \item Loop over the mesh, generate the coefficients and insert/update - them with \verb|psb_spins| and \verb|psb_geins| -\item Assemble with \verb|psb_spasb| and \verb|psb_geasb| -\item Choose and build preconditioner with \verb|prec%init| and - \verb|prec%build| -\item Call the iterative method of choice, e.g. \verb|psb_bicgstab| + them with \verb|psb_spins| and \verb|psb_geins|; +\item Assemble with \verb|psb_spasb| and \verb|psb_geasb|; +\item \item Choose the preconditioner to be used with \verb|prec%init| and + \verb|prec%set|, and + build it with \verb|prec%build|; +\item Call one of the iterative drivers with the method of + choice, e.g. \verb|psb_krylov| with \verb|bicgstab|. \end{enumerate} \end{enumerate} The insertion routines will be called as many times as needed; diff --git a/test/hello/Makefile b/test/hello/Makefile index cbdd358f..dd04768d 100644 --- a/test/hello/Makefile +++ b/test/hello/Makefile @@ -5,7 +5,7 @@ include $(INCDIR)/Make.inc.psblas # # Libraries used LIBDIR=$(BASEDIR)/lib -PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_krylov -lpsb_prec -lpsb_base +PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_linsolve -lpsb_prec -lpsb_base LDLIBS=$(PSBLDLIBS) # # Compilers and such diff --git a/test/kernel/Makefile b/test/kernel/Makefile index 21851beb..7e413092 100644 --- a/test/kernel/Makefile +++ b/test/kernel/Makefile @@ -6,7 +6,7 @@ INCDIR=$(INSTALLDIR)/include/ MODDIR=$(INSTALLDIR)/modules/ include $(INCDIR)/Make.inc.psblas LIBDIR=$(INSTALLDIR)/lib/ -PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_krylov -lpsb_prec -lpsb_base +PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_linsolve -lpsb_prec -lpsb_base LDLIBS=$(PSBLDLIBS) FINCLUDES=$(FMFLAG)$(MODDIR) $(FMFLAG). diff --git a/test/omp/Makefile b/test/omp/Makefile index c35431c5..3eca17de 100644 --- a/test/omp/Makefile +++ b/test/omp/Makefile @@ -5,7 +5,7 @@ include $(INCDIR)/Make.inc.psblas # # Libraries used LIBDIR=$(INSTALLDIR)/lib -PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_krylov -lpsb_prec -lpsb_base +PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_linsolve -lpsb_prec -lpsb_base LDLIBS=$(PSBLDLIBS) # # Compilers and such diff --git a/test/omp/psb_tomp.F90 b/test/omp/psb_tomp.F90 index 79097ca8..a2b21ef7 100644 --- a/test/omp/psb_tomp.F90 +++ b/test/omp/psb_tomp.F90 @@ -658,7 +658,7 @@ end module psb_d_pde3d_mod program psb_d_pde3d use psb_base_mod use psb_prec_mod - use psb_krylov_mod + use psb_linsolve_mod use psb_util_mod use psb_d_pde3d_mod #if defined(OPENMP) diff --git a/test/openacc/Makefile b/test/openacc/Makefile index d0bd4880..16673b35 100644 --- a/test/openacc/Makefile +++ b/test/openacc/Makefile @@ -9,7 +9,7 @@ INCDIR=$(TOPDIR)/include MODDIR=$(TOPDIR)/modules EXEDIR=./runs -PSBLAS_LIB= -L$(LIBDIR) -L$(PSBLIBDIR) -lpsb_openacc -lpsb_util -lpsb_krylov -lpsb_prec -lpsb_base +PSBLAS_LIB= -L$(LIBDIR) -L$(PSBLIBDIR) -lpsb_openacc -lpsb_util -lpsb_linsolve -lpsb_prec -lpsb_base LDLIBS=$(PSBGPULDLIBS) FINCLUDES=$(FMFLAG)$(MODDIR) $(FMFLAG)$(INCDIR) $(FMFLAG). $(FMFLAG)$(PSBMODDIR) $(FMFLAG)$(PSBINCDIR) $(LIBRSB_DEFINES) diff --git a/test/openacc/psb_d_oacc_pde3d.F90 b/test/openacc/psb_d_oacc_pde3d.F90 index 7c0cb4ef..bc889b1f 100644 --- a/test/openacc/psb_d_oacc_pde3d.F90 +++ b/test/openacc/psb_d_oacc_pde3d.F90 @@ -653,7 +653,7 @@ end module psb_d_pde3d_mod program psb_d_oacc_pde3d use psb_base_mod use psb_prec_mod - use psb_krylov_mod + use psb_linsolve_mod use psb_util_mod use psb_d_pde3d_mod #if defined(OPENACC) diff --git a/test/serial/Makefile b/test/serial/Makefile index 0136949a..e714de4c 100644 --- a/test/serial/Makefile +++ b/test/serial/Makefile @@ -6,7 +6,7 @@ INCDIR=$(INSTALLDIR)/include/ MODDIR=$(INSTALLDIR)/modules/ include $(INCDIR)/Make.inc.psblas LIBDIR=$(INSTALLDIR)/lib/ -PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_krylov -lpsb_prec -lpsb_base +PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_linsolve -lpsb_prec -lpsb_base LDLIBS=$(PSBLDLIBS) FINCLUDES=$(FMFLAG)$(MODDIR) $(FMFLAG). diff --git a/test/torture/Makefile b/test/torture/Makefile index 8a98657e..a6dd3165 100644 --- a/test/torture/Makefile +++ b/test/torture/Makefile @@ -3,7 +3,7 @@ INCDIR=$(INSTALLDIR)/include/ MODDIR=$(INSTALLDIR)/modules/ include $(INCDIR)/Make.inc.psblas LIBDIR=$(INSTALLDIR)/lib/ -PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_krylov -lpsb_prec -lpsb_base +PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_linsolve -lpsb_prec -lpsb_base LDLIBS=$(PSBLDLIBS) CCOPT= -g FINCLUDES=$(FMFLAG)$(MODDIR) $(FMFLAG). diff --git a/test/util/Makefile b/test/util/Makefile index 404170fb..5dbf305f 100644 --- a/test/util/Makefile +++ b/test/util/Makefile @@ -6,7 +6,7 @@ include $(INCDIR)/Make.inc.psblas # Libraries used # LIBDIR=$(INSTALLDIR)/lib/ -PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_krylov -lpsb_prec -lpsb_base +PSBLAS_LIB= -L$(LIBDIR) -lpsb_util -lpsb_linsolve -lpsb_prec -lpsb_base LDLIBS=$(PSBLDLIBS) FINCLUDES=$(FMFLAG)$(MODDIR) $(FMFLAG).