Actual source code: mathematica.c
petsc-3.13.6 2020-09-29
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      2:  #include <petsc/private/viewerimpl.h>
      3:  #include <petsc/private/pcimpl.h>
      4:  #include <../src/mat/impls/aij/seq/aij.h>
      5:  #include <mathematica.h>

      7: #if defined(PETSC_HAVE__SNPRINTF) && !defined(PETSC_HAVE_SNPRINTF)
      8: #define snprintf _snprintf
      9: #endif

     11: PetscViewer PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE = NULL;
     12: static void *mathematicaEnv                        = NULL;

     14: static PetscBool PetscViewerMathematicaPackageInitialized = PETSC_FALSE;
     15: /*@C
     16:   PetscViewerMathematicaFinalizePackage - This function destroys everything in the Petsc interface to Mathematica. It is
     17:   called from PetscFinalize().

     19:   Level: developer

     21: .seealso: PetscFinalize()
     22: @*/
     23: PetscErrorCode  PetscViewerMathematicaFinalizePackage(void)
     24: {
     26:   if (mathematicaEnv) MLDeinitialize((MLEnvironment) mathematicaEnv);
     27:   PetscViewerMathematicaPackageInitialized = PETSC_TRUE;
     28:   return(0);
     29: }

     31: /*@C
     32:   PetscViewerMathematicaInitializePackage - This function initializes everything in the Petsc interface to Mathematica. It is
     33:   called from PetscViewerInitializePackage().

     35:   Level: developer

     37: .seealso: PetscSysInitializePackage(), PetscInitialize()
     38: @*/
     39: PetscErrorCode  PetscViewerMathematicaInitializePackage(void)
     40: {
     41:   PetscError ierr;

     44:   if (PetscViewerMathematicaPackageInitialized) return(0);
     45:   PetscViewerMathematicaPackageInitialized = PETSC_TRUE;

     47:   mathematicaEnv = (void*) MLInitialize(0);

     49:   PetscRegisterFinalize(PetscViewerMathematicaFinalizePackage);
     50:   return(0);
     51: }

     54: PetscErrorCode PetscViewerInitializeMathematicaWorld_Private()
     55: {

     59:   if (PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE) return(0);
     60:   PetscViewerMathematicaOpen(PETSC_COMM_WORLD, PETSC_DECIDE, NULL, NULL, &PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE);
     61:   return(0);
     62: }

     64: static PetscErrorCode PetscViewerDestroy_Mathematica(PetscViewer viewer)
     65: {
     66:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;
     67:   PetscErrorCode          ierr;

     70:   MLClose(vmath->link);
     71:   PetscFree(vmath->linkname);
     72:   PetscFree(vmath->linkhost);
     73:   PetscFree(vmath);
     74:   return(0);
     75: }

     77: PetscErrorCode PetscViewerDestroyMathematica_Private(void)
     78: {

     82:   if (PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE) {
     83:     PetscViewerDestroy(PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE);
     84:   }
     85:   return(0);
     86: }

     88: PetscErrorCode PetscViewerMathematicaSetupConnection_Private(PetscViewer v)
     89: {
     90:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) v->data;
     91: #if defined(MATHEMATICA_3_0)
     92:   int                     argc = 6;
     93:   char                    *argv[6];
     94: #else
     95:   int                     argc = 5;
     96:   char                    *argv[5];
     97: #endif
     98:   char                    hostname[256];
     99:   long                    lerr;
    100:   PetscErrorCode          ierr;

    103:   /* Link name */
    104:   argv[0] = "-linkname";
    105:   if (!vmath->linkname) argv[1] = "math -mathlink";
    106:   else                  argv[1] = vmath->linkname;

    108:   /* Link host */
    109:   argv[2] = "-linkhost";
    110:   if (!vmath->linkhost) {
    111:     PetscGetHostName(hostname, 255);
    112:     argv[3] = hostname;
    113:   } else argv[3] = vmath->linkhost;

    115:   /* Link mode */
    116: #if defined(MATHEMATICA_3_0)
    117:   argv[4] = "-linkmode";
    118:   switch (vmath->linkmode) {
    119:   case MATHEMATICA_LINK_CREATE:
    120:     argv[5] = "Create";
    121:     break;
    122:   case MATHEMATICA_LINK_CONNECT:
    123:     argv[5] = "Connect";
    124:     break;
    125:   case MATHEMATICA_LINK_LAUNCH:
    126:     argv[5] = "Launch";
    127:     break;
    128:   }
    129: #else
    130:   switch (vmath->linkmode) {
    131:   case MATHEMATICA_LINK_CREATE:
    132:     argv[4] = "-linkcreate";
    133:     break;
    134:   case MATHEMATICA_LINK_CONNECT:
    135:     argv[4] = "-linkconnect";
    136:     break;
    137:   case MATHEMATICA_LINK_LAUNCH:
    138:     argv[4] = "-linklaunch";
    139:     break;
    140:   }
    141: #endif
    142:   vmath->link = MLOpenInEnv(mathematicaEnv, argc, argv, &lerr);
    143: #endif
    144:   return(0);
    145: }

    147: PETSC_EXTERN PetscErrorCode PetscViewerCreate_Mathematica(PetscViewer v)
    148: {
    149:   PetscViewer_Mathematica *vmath;
    150:   PetscErrorCode          ierr;

    153:   PetscViewerMathematicaInitializePackage();

    155:   PetscNewLog(v,&vmath);
    156:   v->data         = (void*) vmath;
    157:   v->ops->destroy = PetscViewerDestroy_Mathematica;
    158:   v->ops->flush   = 0;
    159:   PetscStrallocpy(PETSC_VIEWER_MATHEMATICA, &((PetscObject)v)->type_name);

    161:   vmath->linkname     = NULL;
    162:   vmath->linkhost     = NULL;
    163:   vmath->linkmode     = MATHEMATICA_LINK_CONNECT;
    164:   vmath->graphicsType = GRAPHICS_MOTIF;
    165:   vmath->plotType     = MATHEMATICA_TRIANGULATION_PLOT;
    166:   vmath->objName      = NULL;

    168:   PetscViewerMathematicaSetFromOptions(v);
    169:   PetscViewerMathematicaSetupConnection_Private(v);
    170:   return(0);
    171: }

    173: static PetscErrorCode PetscViewerMathematicaParseLinkMode(char *modename, LinkMode *mode)
    174: {
    175:   PetscBool      isCreate, isConnect, isLaunch;

    179:   PetscStrcasecmp(modename, "Create",  &isCreate);
    180:   PetscStrcasecmp(modename, "Connect", &isConnect);
    181:   PetscStrcasecmp(modename, "Launch",  &isLaunch);
    182:   if (isCreate)       *mode = MATHEMATICA_LINK_CREATE;
    183:   else if (isConnect) *mode = MATHEMATICA_LINK_CONNECT;
    184:   else if (isLaunch)  *mode = MATHEMATICA_LINK_LAUNCH;
    185:   else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG, "Invalid Mathematica link mode: %s", modename);
    186:   return(0);
    187: }

    189: PetscErrorCode  PetscViewerMathematicaSetFromOptions(PetscViewer v)
    190: {
    191:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) v->data;
    192:   char                    linkname[256];
    193:   char                    modename[256];
    194:   char                    hostname[256];
    195:   char                    type[256];
    196:   PetscInt                numPorts;
    197:   PetscInt                *ports;
    198:   PetscInt                numHosts;
    199:   int                     h;
    200:   char                    **hosts;
    201:   PetscMPIInt             size, rank;
    202:   PetscBool               opt;
    203:   PetscErrorCode          ierr;

    206:   MPI_Comm_size(PetscObjectComm((PetscObject)v), &size);
    207:   MPI_Comm_rank(PetscObjectComm((PetscObject)v), &rank);

    209:   /* Get link name */
    210:   PetscOptionsGetString("viewer_", "-math_linkname", linkname, 256, &opt);
    211:   if (opt) {
    212:     PetscViewerMathematicaSetLinkName(v, linkname);
    213:   }
    214:   /* Get link port */
    215:   numPorts = size;
    216:   PetscMalloc1(size, &ports);
    217:   PetscOptionsGetIntArray("viewer_", "-math_linkport", ports, &numPorts, &opt);
    218:   if (opt) {
    219:     if (numPorts > rank) snprintf(linkname, 255, "%6d", ports[rank]);
    220:     else                 snprintf(linkname, 255, "%6d", ports[0]);
    221:     PetscViewerMathematicaSetLinkName(v, linkname);
    222:   }
    223:   PetscFree(ports);
    224:   /* Get link host */
    225:   numHosts = size;
    226:   PetscMalloc1(size, &hosts);
    227:   PetscOptionsGetStringArray("viewer_", "-math_linkhost", hosts, &numHosts, &opt);
    228:   if (opt) {
    229:     if (numHosts > rank) {
    230:       PetscStrncpy(hostname, hosts[rank], 255);
    231:     } else {
    232:       PetscStrncpy(hostname, hosts[0], 255);
    233:     }
    234:     PetscViewerMathematicaSetLinkHost(v, hostname);
    235:   }
    236:   for (h = 0; h < numHosts; h++) {
    237:     PetscFree(hosts[h]);
    238:   }
    239:   PetscFree(hosts);
    240:   /* Get link mode */
    241:   PetscOptionsGetString("viewer_", "-math_linkmode", modename, 256, &opt);
    242:   if (opt) {
    243:     LinkMode mode;

    245:     PetscViewerMathematicaParseLinkMode(modename, &mode);
    246:     PetscViewerMathematicaSetLinkMode(v, mode);
    247:   }
    248:   /* Get graphics type */
    249:   PetscOptionsGetString("viewer_", "-math_graphics", type, 256, &opt);
    250:   if (opt) {
    251:     PetscBool isMotif, isPS, isPSFile;

    253:     PetscStrcasecmp(type, "Motif",  &isMotif);
    254:     PetscStrcasecmp(type, "PS",     &isPS);
    255:     PetscStrcasecmp(type, "PSFile", &isPSFile);
    256:     if (isMotif)       vmath->graphicsType = GRAPHICS_MOTIF;
    257:     else if (isPS)     vmath->graphicsType = GRAPHICS_PS_STDOUT;
    258:     else if (isPSFile) vmath->graphicsType = GRAPHICS_PS_FILE;
    259:   }
    260:   /* Get plot type */
    261:   PetscOptionsGetString("viewer_", "-math_type", type, 256, &opt);
    262:   if (opt) {
    263:     PetscBool isTri, isVecTri, isVec, isSurface;

    265:     PetscStrcasecmp(type, "Triangulation",       &isTri);
    266:     PetscStrcasecmp(type, "VectorTriangulation", &isVecTri);
    267:     PetscStrcasecmp(type, "Vector",              &isVec);
    268:     PetscStrcasecmp(type, "Surface",             &isSurface);
    269:     if (isTri)          vmath->plotType = MATHEMATICA_TRIANGULATION_PLOT;
    270:     else if (isVecTri)  vmath->plotType = MATHEMATICA_VECTOR_TRIANGULATION_PLOT;
    271:     else if (isVec)     vmath->plotType = MATHEMATICA_VECTOR_PLOT;
    272:     else if (isSurface) vmath->plotType = MATHEMATICA_SURFACE_PLOT;
    273:   }
    274:   return(0);
    275: }

    277: PetscErrorCode  PetscViewerMathematicaSetLinkName(PetscViewer v, const char *name)
    278: {
    279:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) v->data;
    280:   PetscErrorCode          ierr;

    285:   PetscStrallocpy(name, &vmath->linkname);
    286:   return(0);
    287: }

    289: PetscErrorCode  PetscViewerMathematicaSetLinkPort(PetscViewer v, int port)
    290: {
    291:   char           name[16];

    295:   snprintf(name, 16, "%6d", port);
    296:   PetscViewerMathematicaSetLinkName(v, name);
    297:   return(0);
    298: }

    300: PetscErrorCode  PetscViewerMathematicaSetLinkHost(PetscViewer v, const char *host)
    301: {
    302:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) v->data;
    303:   PetscErrorCode          ierr;

    308:   PetscStrallocpy(host, &vmath->linkhost);
    309:   return(0);
    310: }

    312: PetscErrorCode  PetscViewerMathematicaSetLinkMode(PetscViewer v, LinkMode mode)
    313: {
    314:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) v->data;

    317:   vmath->linkmode = mode;
    318:   return(0);
    319: }

    321: /*----------------------------------------- Public Functions --------------------------------------------------------*/
    322: /*@C
    323:   PetscViewerMathematicaOpen - Communicates with Mathemtica using MathLink.

    325:   Collective

    327:   Input Parameters:
    328: + comm    - The MPI communicator
    329: . port    - [optional] The port to connect on, or PETSC_DECIDE
    330: . machine - [optional] The machine to run Mathematica on, or NULL
    331: - mode    - [optional] The connection mode, or NULL

    333:   Output Parameter:
    334: . viewer  - The Mathematica viewer

    336:   Level: intermediate

    338:   Notes:
    339:   Most users should employ the following commands to access the
    340:   Mathematica viewers
    341: $
    342: $    PetscViewerMathematicaOpen(MPI_Comm comm, int port, char *machine, char *mode, PetscViewer &viewer)
    343: $    MatView(Mat matrix, PetscViewer viewer)
    344: $
    345: $                or
    346: $
    347: $    PetscViewerMathematicaOpen(MPI_Comm comm, int port, char *machine, char *mode, PetscViewer &viewer)
    348: $    VecView(Vec vector, PetscViewer viewer)

    350:    Options Database Keys:
    351: +    -viewer_math_linkhost <machine> - The host machine for the kernel
    352: .    -viewer_math_linkname <name>    - The full link name for the connection
    353: .    -viewer_math_linkport <port>    - The port for the connection
    354: .    -viewer_math_mode <mode>        - The mode, e.g. Launch, Connect
    355: .    -viewer_math_type <type>        - The plot type, e.g. Triangulation, Vector
    356: -    -viewer_math_graphics <output>  - The output type, e.g. Motif, PS, PSFile

    358: .seealso: MatView(), VecView()
    359: @*/
    360: PetscErrorCode  PetscViewerMathematicaOpen(MPI_Comm comm, int port, const char machine[], const char mode[], PetscViewer *v)
    361: {

    365:   PetscViewerCreate(comm, v);
    366: #if 0
    367:   LinkMode linkmode;
    368:   PetscViewerMathematicaSetLinkPort(*v, port);
    369:   PetscViewerMathematicaSetLinkHost(*v, machine);
    370:   PetscViewerMathematicaParseLinkMode(mode, &linkmode);
    371:   PetscViewerMathematicaSetLinkMode(*v, linkmode);
    372: #endif
    373:   PetscViewerSetType(*v, PETSC_VIEWER_MATHEMATICA);
    374:   return(0);
    375: }

    377: /*@C
    378:   PetscViewerMathematicaGetLink - Returns the link to Mathematica

    380:   Input Parameters:
    381: + viewer - The Mathematica viewer
    382: - link   - The link to Mathematica

    384:   Level: intermediate

    386: .keywords PetscViewer, Mathematica, link
    387: .seealso PetscViewerMathematicaOpen()
    388: @*/
    389: PetscErrorCode  PetscViewerMathematicaGetLink(PetscViewer viewer, MLINK *link)
    390: {
    391:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;

    395:   *link = vmath->link;
    396:   return(0);
    397: }

    399: /*@C
    400:   PetscViewerMathematicaSkipPackets - Discard packets sent by Mathematica until a certain packet type is received

    402:   Input Parameters:
    403: + viewer - The Mathematica viewer
    404: - type   - The packet type to search for, e.g RETURNPKT

    406:   Level: advanced

    408: .keywords PetscViewer, Mathematica, packets
    409: .seealso PetscViewerMathematicaSetName(), PetscViewerMathematicaGetVector()
    410: @*/
    411: PetscErrorCode  PetscViewerMathematicaSkipPackets(PetscViewer viewer, int type)
    412: {
    413:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;
    414:   MLINK                   link   = vmath->link; /* The link to Mathematica */
    415:   int                     pkt;                 /* The packet type */

    418:   while ((pkt = MLNextPacket(link)) && (pkt != type)) MLNewPacket(link);
    419:   if (!pkt) {
    420:     MLClearError(link);
    421:     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB, (char*) MLErrorMessage(link));
    422:   }
    423:   return(0);
    424: }

    426: /*@C
    427:   PetscViewerMathematicaGetName - Retrieve the default name for objects communicated to Mathematica

    429:   Input Parameter:
    430: . viewer - The Mathematica viewer

    432:   Output Parameter:
    433: . name   - The name for new objects created in Mathematica

    435:   Level: intermediate

    437: .keywords PetscViewer, Mathematica, name
    438: .seealso PetscViewerMathematicaSetName(), PetscViewerMathematicaClearName()
    439: @*/
    440: PetscErrorCode  PetscViewerMathematicaGetName(PetscViewer viewer, const char **name)
    441: {
    442:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;

    447:   *name = vmath->objName;
    448:   return(0);
    449: }

    451: /*@C
    452:   PetscViewerMathematicaSetName - Override the default name for objects communicated to Mathematica

    454:   Input Parameters:
    455: + viewer - The Mathematica viewer
    456: - name   - The name for new objects created in Mathematica

    458:   Level: intermediate

    460: .keywords PetscViewer, Mathematica, name
    461: .seealso PetscViewerMathematicaSetName(), PetscViewerMathematicaClearName()
    462: @*/
    463: PetscErrorCode  PetscViewerMathematicaSetName(PetscViewer viewer, const char name[])
    464: {
    465:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;

    470:   vmath->objName = name;
    471:   return(0);
    472: }

    474: /*@C
    475:   PetscViewerMathematicaClearName - Use the default name for objects communicated to Mathematica

    477:   Input Parameter:
    478: . viewer - The Mathematica viewer

    480:   Level: intermediate

    482: .keywords PetscViewer, Mathematica, name
    483: .seealso PetscViewerMathematicaGetName(), PetscViewerMathematicaSetName()
    484: @*/
    485: PetscErrorCode  PetscViewerMathematicaClearName(PetscViewer viewer)
    486: {
    487:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;

    491:   vmath->objName = NULL;
    492:   return(0);
    493: }

    495: /*@C
    496:   PetscViewerMathematicaGetVector - Retrieve a vector from Mathematica

    498:   Input Parameter:
    499: . viewer - The Mathematica viewer

    501:   Output Parameter:
    502: . v      - The vector

    504:   Level: intermediate

    506: .keywords PetscViewer, Mathematica, vector
    507: .seealso VecView(), PetscViewerMathematicaPutVector()
    508: @*/
    509: PetscErrorCode  PetscViewerMathematicaGetVector(PetscViewer viewer, Vec v)
    510: {
    511:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;
    512:   MLINK                   link;   /* The link to Mathematica */
    513:   char                    *name;
    514:   PetscScalar             *mArray,*array;
    515:   long                    mSize;
    516:   int                     n;
    517:   PetscErrorCode          ierr;

    523:   /* Determine the object name */
    524:   if (!vmath->objName) name = "vec";
    525:   else                 name = (char*) vmath->objName;

    527:   link = vmath->link;
    528:   VecGetLocalSize(v, &n);
    529:   VecGetArray(v, &array);
    530:   MLPutFunction(link, "EvaluatePacket", 1);
    531:   MLPutSymbol(link, name);
    532:   MLEndPacket(link);
    533:   PetscViewerMathematicaSkipPackets(viewer, RETURNPKT);
    534:   MLGetRealList(link, &mArray, &mSize);
    535:   if (n != mSize) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG, "Incompatible vector sizes %d %d",n,mSize);
    536:   PetscArraycpy(array, mArray, mSize);
    537:   MLDisownRealList(link, mArray, mSize);
    538:   VecRestoreArray(v, &array);
    539:   return(0);
    540: }

    542: /*@C
    543:   PetscViewerMathematicaPutVector - Send a vector to Mathematica

    545:   Input Parameters:
    546: + viewer - The Mathematica viewer
    547: - v      - The vector

    549:   Level: intermediate

    551: .keywords PetscViewer, Mathematica, vector
    552: .seealso VecView(), PetscViewerMathematicaGetVector()
    553: @*/
    554: PetscErrorCode  PetscViewerMathematicaPutVector(PetscViewer viewer, Vec v)
    555: {
    556:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;
    557:   MLINK                   link   = vmath->link; /* The link to Mathematica */
    558:   char                    *name;
    559:   PetscScalar             *array;
    560:   int                     n;
    561:   PetscErrorCode          ierr;

    564:   /* Determine the object name */
    565:   if (!vmath->objName) name = "vec";
    566:   else                 name = (char*) vmath->objName;

    568:   VecGetLocalSize(v, &n);
    569:   VecGetArray(v, &array);

    571:   /* Send the Vector object */
    572:   MLPutFunction(link, "EvaluatePacket", 1);
    573:   MLPutFunction(link, "Set", 2);
    574:   MLPutSymbol(link, name);
    575:   MLPutRealList(link, array, n);
    576:   MLEndPacket(link);
    577:   /* Skip packets until ReturnPacket */
    578:   PetscViewerMathematicaSkipPackets(viewer, RETURNPKT);
    579:   /* Skip ReturnPacket */
    580:   MLNewPacket(link);

    582:   VecRestoreArray(v, &array);
    583:   return(0);
    584: }

    586: PetscErrorCode  PetscViewerMathematicaPutMatrix(PetscViewer viewer, int m, int n, PetscReal *a)
    587: {
    588:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;
    589:   MLINK                   link   = vmath->link; /* The link to Mathematica */
    590:   char                    *name;
    591:   PetscErrorCode          ierr;

    594:   /* Determine the object name */
    595:   if (!vmath->objName) name = "mat";
    596:   else                 name = (char*) vmath->objName;

    598:   /* Send the dense matrix object */
    599:   MLPutFunction(link, "EvaluatePacket", 1);
    600:   MLPutFunction(link, "Set", 2);
    601:   MLPutSymbol(link, name);
    602:   MLPutFunction(link, "Transpose", 1);
    603:   MLPutFunction(link, "Partition", 2);
    604:   MLPutRealList(link, a, m*n);
    605:   MLPutInteger(link, m);
    606:   MLEndPacket(link);
    607:   /* Skip packets until ReturnPacket */
    608:   PetscViewerMathematicaSkipPackets(viewer, RETURNPKT);
    609:   /* Skip ReturnPacket */
    610:   MLNewPacket(link);
    611:   return(0);
    612: }

    614: PetscErrorCode  PetscViewerMathematicaPutCSRMatrix(PetscViewer viewer, int m, int n, int *i, int *j, PetscReal *a)
    615: {
    616:   PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica*) viewer->data;
    617:   MLINK                   link   = vmath->link; /* The link to Mathematica */
    618:   const char              *symbol;
    619:   char                    *name;
    620:   PetscBool               match;
    621:   PetscErrorCode          ierr;

    624:   /* Determine the object name */
    625:   if (!vmath->objName) name = "mat";
    626:   else                 name = (char*) vmath->objName;

    628:   /* Make sure Mathematica recognizes sparse matrices */
    629:   MLPutFunction(link, "EvaluatePacket", 1);
    630:   MLPutFunction(link, "Needs", 1);
    631:   MLPutString(link, "LinearAlgebra`CSRMatrix`");
    632:   MLEndPacket(link);
    633:   /* Skip packets until ReturnPacket */
    634:   PetscViewerMathematicaSkipPackets(viewer, RETURNPKT);
    635:   /* Skip ReturnPacket */
    636:   MLNewPacket(link);

    638:   /* Send the CSRMatrix object */
    639:   MLPutFunction(link, "EvaluatePacket", 1);
    640:   MLPutFunction(link, "Set", 2);
    641:   MLPutSymbol(link, name);
    642:   MLPutFunction(link, "CSRMatrix", 5);
    643:   MLPutInteger(link, m);
    644:   MLPutInteger(link, n);
    645:   MLPutFunction(link, "Plus", 2);
    646:   MLPutIntegerList(link, i, m+1);
    647:   MLPutInteger(link, 1);
    648:   MLPutFunction(link, "Plus", 2);
    649:   MLPutIntegerList(link, j, i[m]);
    650:   MLPutInteger(link, 1);
    651:   MLPutRealList(link, a, i[m]);
    652:   MLEndPacket(link);
    653:   /* Skip packets until ReturnPacket */
    654:   PetscViewerMathematicaSkipPackets(viewer, RETURNPKT);
    655:   /* Skip ReturnPacket */
    656:   MLNewPacket(link);

    658:   /* Check that matrix is valid */
    659:   MLPutFunction(link, "EvaluatePacket", 1);
    660:   MLPutFunction(link, "ValidQ", 1);
    661:   MLPutSymbol(link, name);
    662:   MLEndPacket(link);
    663:   PetscViewerMathematicaSkipPackets(viewer, RETURNPKT);
    664:   MLGetSymbol(link, &symbol);
    665:   PetscStrcmp("True", (char*) symbol, &match);
    666:   if (!match) {
    667:     MLDisownSymbol(link, symbol);
    668:     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Invalid CSR matrix in Mathematica");
    669:   }
    670:   MLDisownSymbol(link, symbol);
    671:   /* Skip ReturnPacket */
    672:   MLNewPacket(link);
    673:   return(0);
    674: }