impls/mathematica/mathematica.c

#include <petsc/private/viewerimpl.h> /* "petscsys.h" */
#include <petsc/private/pcimpl.h>
#include <../src/mat/impls/aij/seq/aij.h>
#include <mathematica.h>

#if defined(PETSC_HAVE__SNPRINTF) && !defined(PETSC_HAVE_SNPRINTF)
#define snprintf _snprintf
#endif

PetscViewer  PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE = NULL;
static void *mathematicaEnv                         = NULL;

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

  Level: developer

.seealso: `PetscFinalize()`
@*/
PetscErrorCode   PetscViewerMathematicaFinalizePackage(void) {
    PetscFunctionBegin;
    if (mathematicaEnv) MLDeinitialize((MLEnvironment)mathematicaEnv);
  PetscViewerMathematicaPackageInitialized = PETSC_TRUE;
    PetscFunctionReturn(0);
}

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

  Level: developer

.seealso: `PetscSysInitializePackage()`, `PetscInitialize()`
@*/
PetscErrorCode PetscViewerMathematicaInitializePackage(void) {
  PetscError ierr;

  PetscFunctionBegin;
  if (PetscViewerMathematicaPackageInitialized) PetscFunctionReturn(0);
  PetscViewerMathematicaPackageInitialized = PETSC_TRUE;

  mathematicaEnv = (void *)MLInitialize(0);

  PetscCall(PetscRegisterFinalize(PetscViewerMathematicaFinalizePackage));
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerInitializeMathematicaWorld_Private() {
  PetscFunctionBegin;
  if (PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE) PetscFunctionReturn(0);
  PetscCall(PetscViewerMathematicaOpen(PETSC_COMM_WORLD, PETSC_DECIDE, NULL, NULL, &PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE));
  PetscFunctionReturn(0);
}

static PetscErrorCode PetscViewerDestroy_Mathematica(PetscViewer viewer) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;

  PetscFunctionBegin;
  MLClose(vmath->link);
  PetscCall(PetscFree(vmath->linkname));
  PetscCall(PetscFree(vmath->linkhost));
  PetscCall(PetscFree(vmath));
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerDestroyMathematica_Private(void) {
  PetscFunctionBegin;
  if (PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE) PetscCall(PetscViewerDestroy(PETSC_VIEWER_MATHEMATICA_WORLD_PRIVATE));
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerMathematicaSetupConnection_Private(PetscViewer v) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)v->data;
#if defined(MATHEMATICA_3_0)
  int   argc = 6;
  char *argv[6];
#else
  int   argc = 5;
  char *argv[5];
#endif
  char hostname[256];
  long lerr;

  PetscFunctionBegin;
  /* Link name */
  argv[0] = "-linkname";
  if (!vmath->linkname) argv[1] = "math -mathlink";
  else argv[1] = vmath->linkname;

  /* Link host */
  argv[2] = "-linkhost";
  if (!vmath->linkhost) {
    PetscCall(PetscGetHostName(hostname, sizeof(hostname)));
    argv[3] = hostname;
  } else argv[3] = vmath->linkhost;

    /* Link mode */
#if defined(MATHEMATICA_3_0)
  argv[4] = "-linkmode";
  switch (vmath->linkmode) {
  case MATHEMATICA_LINK_CREATE: argv[5] = "Create"; break;
  case MATHEMATICA_LINK_CONNECT: argv[5] = "Connect"; break;
  case MATHEMATICA_LINK_LAUNCH: argv[5] = "Launch"; break;
  }
#else
  switch (vmath->linkmode) {
  case MATHEMATICA_LINK_CREATE: argv[4] = "-linkcreate"; break;
  case MATHEMATICA_LINK_CONNECT: argv[4] = "-linkconnect"; break;
  case MATHEMATICA_LINK_LAUNCH: argv[4] = "-linklaunch"; break;
  }
#endif
  vmath->link = MLOpenInEnv(mathematicaEnv, argc, argv, &lerr);
#endif
  PetscFunctionReturn(0);
}

PETSC_EXTERN PetscErrorCode PetscViewerCreate_Mathematica(PetscViewer v) {
  PetscViewer_Mathematica *vmath;

  PetscFunctionBegin;
  PetscCall(PetscViewerMathematicaInitializePackage());

  PetscCall(PetscNew(&vmath));
  v->data         = (void *)vmath;
  v->ops->destroy = PetscViewerDestroy_Mathematica;
  v->ops->flush   = 0;
  PetscCall(PetscStrallocpy(PETSC_VIEWER_MATHEMATICA, &((PetscObject)v)->type_name));

  vmath->linkname     = NULL;
  vmath->linkhost     = NULL;
  vmath->linkmode     = MATHEMATICA_LINK_CONNECT;
  vmath->graphicsType = GRAPHICS_MOTIF;
  vmath->plotType     = MATHEMATICA_TRIANGULATION_PLOT;
  vmath->objName      = NULL;

  PetscCall(PetscViewerMathematicaSetFromOptions(v));
  PetscCall(PetscViewerMathematicaSetupConnection_Private(v));
  PetscFunctionReturn(0);
}

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

  PetscFunctionBegin;
  PetscCall(PetscStrcasecmp(modename, "Create", &isCreate));
  PetscCall(PetscStrcasecmp(modename, "Connect", &isConnect));
  PetscCall(PetscStrcasecmp(modename, "Launch", &isLaunch));
  if (isCreate) *mode = MATHEMATICA_LINK_CREATE;
  else if (isConnect) *mode = MATHEMATICA_LINK_CONNECT;
  else if (isLaunch) *mode = MATHEMATICA_LINK_LAUNCH;
  else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid Mathematica link mode: %s", modename);
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerMathematicaSetFromOptions(PetscViewer v) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)v->data;
  char                     linkname[256];
  char                     modename[256];
  char                     hostname[256];
  char                     type[256];
  PetscInt                 numPorts;
  PetscInt                *ports;
  PetscInt                 numHosts;
  int                      h;
  char                   **hosts;
  PetscMPIInt              size, rank;
  PetscBool                opt;

  PetscFunctionBegin;
  PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)v), &size));
  PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)v), &rank));

  /* Get link name */
  PetscCall(PetscOptionsGetString("viewer_", "-math_linkname", linkname, sizeof(linkname), &opt));
  if (opt) PetscCall(PetscViewerMathematicaSetLinkName(v, linkname));
  /* Get link port */
  numPorts = size;
  PetscCall(PetscMalloc1(size, &ports));
  PetscCall(PetscOptionsGetIntArray("viewer_", "-math_linkport", ports, &numPorts, &opt));
  if (opt) {
    if (numPorts > rank) snprintf(linkname, sizeof(linkname), "%6d", ports[rank]);
    else snprintf(linkname, sizeof(linkname), "%6d", ports[0]);
    PetscCall(PetscViewerMathematicaSetLinkName(v, linkname));
  }
  PetscCall(PetscFree(ports));
  /* Get link host */
  numHosts = size;
  PetscCall(PetscMalloc1(size, &hosts));
  PetscCall(PetscOptionsGetStringArray("viewer_", "-math_linkhost", hosts, &numHosts, &opt));
  if (opt) {
    if (numHosts > rank) {
      PetscCall(PetscStrncpy(hostname, hosts[rank], sizeof(hostname)));
    } else {
      PetscCall(PetscStrncpy(hostname, hosts[0], sizeof(hostname)));
    }
    PetscCall(PetscViewerMathematicaSetLinkHost(v, hostname));
  }
  for (h = 0; h < numHosts; h++) PetscCall(PetscFree(hosts[h]));
  PetscCall(PetscFree(hosts));
  /* Get link mode */
  PetscCall(PetscOptionsGetString("viewer_", "-math_linkmode", modename, sizeof(modename), &opt));
  if (opt) {
    LinkMode mode;

    PetscCall(PetscViewerMathematicaParseLinkMode(modename, &mode));
    PetscCall(PetscViewerMathematicaSetLinkMode(v, mode));
  }
  /* Get graphics type */
  PetscCall(PetscOptionsGetString("viewer_", "-math_graphics", type, sizeof(type), &opt));
  if (opt) {
    PetscBool isMotif, isPS, isPSFile;

    PetscCall(PetscStrcasecmp(type, "Motif", &isMotif));
    PetscCall(PetscStrcasecmp(type, "PS", &isPS));
    PetscCall(PetscStrcasecmp(type, "PSFile", &isPSFile));
    if (isMotif) vmath->graphicsType = GRAPHICS_MOTIF;
    else if (isPS) vmath->graphicsType = GRAPHICS_PS_STDOUT;
    else if (isPSFile) vmath->graphicsType = GRAPHICS_PS_FILE;
  }
  /* Get plot type */
  PetscCall(PetscOptionsGetString("viewer_", "-math_type", type, sizeof(type), &opt));
  if (opt) {
    PetscBool isTri, isVecTri, isVec, isSurface;

    PetscCall(PetscStrcasecmp(type, "Triangulation", &isTri));
    PetscCall(PetscStrcasecmp(type, "VectorTriangulation", &isVecTri));
    PetscCall(PetscStrcasecmp(type, "Vector", &isVec));
    PetscCall(PetscStrcasecmp(type, "Surface", &isSurface));
    if (isTri) vmath->plotType = MATHEMATICA_TRIANGULATION_PLOT;
    else if (isVecTri) vmath->plotType = MATHEMATICA_VECTOR_TRIANGULATION_PLOT;
    else if (isVec) vmath->plotType = MATHEMATICA_VECTOR_PLOT;
    else if (isSurface) vmath->plotType = MATHEMATICA_SURFACE_PLOT;
  }
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerMathematicaSetLinkName(PetscViewer v, const char *name) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)v->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(v, PETSC_VIEWER_CLASSID, 1);
  PetscValidCharPointer(name, 2);
  PetscCall(PetscStrallocpy(name, &vmath->linkname));
  PetscFunctionReturn(0);
}

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

  PetscFunctionBegin;
  snprintf(name, 16, "%6d", port);
  PetscCall(PetscViewerMathematicaSetLinkName(v, name));
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerMathematicaSetLinkHost(PetscViewer v, const char *host) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)v->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(v, PETSC_VIEWER_CLASSID, 1);
  PetscValidCharPointer(host, 2);
  PetscCall(PetscStrallocpy(host, &vmath->linkhost));
  PetscFunctionReturn(0);
}

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

  PetscFunctionBegin;
  vmath->linkmode = mode;
  PetscFunctionReturn(0);
}

/*----------------------------------------- Public Functions --------------------------------------------------------*/
/*@C
  PetscViewerMathematicaOpen - Communicates with Mathemtica using MathLink.

  Collective

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

  Output Parameter:
. viewer  - The Mathematica viewer

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

  Level: intermediate

  Note:
  Most users should employ the following commands to access the
  Mathematica viewers
.vb
    PetscViewerMathematicaOpen(MPI_Comm comm, int port, char *machine, char *mode, PetscViewer &viewer)
    MatView(Mat matrix, PetscViewer viewer)

                or

    PetscViewerMathematicaOpen(MPI_Comm comm, int port, char *machine, char *mode, PetscViewer &viewer)
    VecView(Vec vector, PetscViewer viewer)
.ve

.seealso: `PETSCVIEWERMATHEMATICA`, `MatView()`, `VecView()`
@*/
PetscErrorCode PetscViewerMathematicaOpen(MPI_Comm comm, int port, const char machine[], const char mode[], PetscViewer *v) {
  PetscFunctionBegin;
  PetscCall(PetscViewerCreate(comm, v));
#if 0
  LinkMode linkmode;
  PetscCall(PetscViewerMathematicaSetLinkPort(*v, port));
  PetscCall(PetscViewerMathematicaSetLinkHost(*v, machine));
  PetscCall(PetscViewerMathematicaParseLinkMode(mode, &linkmode));
  PetscCall(PetscViewerMathematicaSetLinkMode(*v, linkmode));
#endif
  PetscCall(PetscViewerSetType(*v, PETSC_VIEWER_MATHEMATICA));
  PetscFunctionReturn(0);
}

/*@C
  PetscViewerMathematicaGetLink - Returns the link to Mathematica from a `PETSCVIEWERMATHEMATICA`

  Input Parameters:
+ viewer - The Mathematica viewer
- link   - The link to Mathematica

  Level: intermediate

.seealso: `PETSCVIEWERMATHEMATICA`, `PetscViewerMathematicaOpen()`
@*/
PetscErrorCode PetscViewerMathematicaGetLink(PetscViewer viewer, MLINK *link) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 1);
  *link = vmath->link;
  PetscFunctionReturn(0);
}

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

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

  Level: advanced

.seealso: `PetscViewerMathematicaSetName()`, `PetscViewerMathematicaGetVector()`
@*/
PetscErrorCode PetscViewerMathematicaSkipPackets(PetscViewer viewer, int type) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;
  MLINK                    link  = vmath->link; /* The link to Mathematica */
  int                      pkt;                 /* The packet type */

  PetscFunctionBegin;
  while ((pkt = MLNextPacket(link)) && (pkt != type)) MLNewPacket(link);
  if (!pkt) {
    MLClearError(link);
    SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, (char *)MLErrorMessage(link));
  }
  PetscFunctionReturn(0);
}

/*@C
  PetscViewerMathematicaGetName - Retrieve the default name for objects communicated to Mathematica via `PETSCVIEWERMATHEMATICA`

  Input Parameter:
. viewer - The Mathematica viewer

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

  Level: intermediate

.seealso:`PETSCVIEWERMATHEMATICA`, `PetscViewerMathematicaSetName()`, `PetscViewerMathematicaClearName()`
@*/
PetscErrorCode PetscViewerMathematicaGetName(PetscViewer viewer, const char **name) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 1);
  PetscValidPointer(name, 2);
  *name = vmath->objName;
  PetscFunctionReturn(0);
}

/*@C
  PetscViewerMathematicaSetName - Override the default name for objects communicated to Mathematica via `PETSCVIEWERMATHEMATICA`

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

  Level: intermediate

.seealso:`PETSCVIEWERMATHEMATICA`, `PetscViewerMathematicaSetName()`, `PetscViewerMathematicaClearName()`
@*/
PetscErrorCode PetscViewerMathematicaSetName(PetscViewer viewer, const char name[]) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 1);
  PetscValidPointer(name, 2);
  vmath->objName = name;
  PetscFunctionReturn(0);
}

/*@
  PetscViewerMathematicaClearName - Use the default name for objects communicated to Mathematica

  Input Parameter:
. viewer - The Mathematica viewer

  Level: intermediate

.seealso:`PETSCVIEWERMATHEMATICA`,`PetscViewerMathematicaGetName()`, `PetscViewerMathematicaSetName()`
@*/
PetscErrorCode PetscViewerMathematicaClearName(PetscViewer viewer) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 1);
  vmath->objName = NULL;
  PetscFunctionReturn(0);
}

/*@
  PetscViewerMathematicaGetVector - Retrieve a vector from Mathematica via a `PETSCVIEWERMATHEMATICA`

  Input Parameter:
. viewer - The Mathematica viewer

  Output Parameter:
. v      - The vector

  Level: intermediate

.seealso: `PETSCVIEWERMATHEMATICA`, `VecView()`, `PetscViewerMathematicaPutVector()`
@*/
PetscErrorCode PetscViewerMathematicaGetVector(PetscViewer viewer, Vec v) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;
  MLINK                    link; /* The link to Mathematica */
  char                    *name;
  PetscScalar             *mArray, *array;
  long                     mSize;
  int                      n;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 1);
  PetscValidHeaderSpecific(v, VEC_CLASSID, 2);

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

  link = vmath->link;
  PetscCall(VecGetLocalSize(v, &n));
  PetscCall(VecGetArray(v, &array));
  MLPutFunction(link, "EvaluatePacket", 1);
  MLPutSymbol(link, name);
  MLEndPacket(link);
  PetscCall(PetscViewerMathematicaSkipPackets(viewer, RETURNPKT));
  MLGetRealList(link, &mArray, &mSize);
  PetscCheck(n == mSize, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Incompatible vector sizes %d %d", n, mSize);
  PetscCall(PetscArraycpy(array, mArray, mSize));
  MLDisownRealList(link, mArray, mSize);
  PetscCall(VecRestoreArray(v, &array));
  PetscFunctionReturn(0);
}

/*@
  PetscViewerMathematicaPutVector - Send a vector to Mathematica via a `PETSCVIEWERMATHEMATICA` `PetscViewer`

  Input Parameters:
+ viewer - The Mathematica viewer
- v      - The vector

  Level: intermediate

.seealso: `PETSCVIEWERMATHEMATICA`, `VecView()`, `PetscViewerMathematicaGetVector()`
@*/
PetscErrorCode PetscViewerMathematicaPutVector(PetscViewer viewer, Vec v) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;
  MLINK                    link  = vmath->link; /* The link to Mathematica */
  char                    *name;
  PetscScalar             *array;
  int                      n;

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

  PetscCall(VecGetLocalSize(v, &n));
  PetscCall(VecGetArray(v, &array));

  /* Send the Vector object */
  MLPutFunction(link, "EvaluatePacket", 1);
  MLPutFunction(link, "Set", 2);
  MLPutSymbol(link, name);
  MLPutRealList(link, array, n);
  MLEndPacket(link);
  /* Skip packets until ReturnPacket */
  PetscCall(PetscViewerMathematicaSkipPackets(viewer, RETURNPKT));
  /* Skip ReturnPacket */
  MLNewPacket(link);

  PetscCall(VecRestoreArray(v, &array));
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer viewer, int m, int n, PetscReal *a) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;
  MLINK                    link  = vmath->link; /* The link to Mathematica */
  char                    *name;

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

  /* Send the dense matrix object */
  MLPutFunction(link, "EvaluatePacket", 1);
  MLPutFunction(link, "Set", 2);
  MLPutSymbol(link, name);
  MLPutFunction(link, "Transpose", 1);
  MLPutFunction(link, "Partition", 2);
  MLPutRealList(link, a, m * n);
  MLPutInteger(link, m);
  MLEndPacket(link);
  /* Skip packets until ReturnPacket */
  PetscCall(PetscViewerMathematicaSkipPackets(viewer, RETURNPKT));
  /* Skip ReturnPacket */
  MLNewPacket(link);
  PetscFunctionReturn(0);
}

PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer viewer, int m, int n, int *i, int *j, PetscReal *a) {
  PetscViewer_Mathematica *vmath = (PetscViewer_Mathematica *)viewer->data;
  MLINK                    link  = vmath->link; /* The link to Mathematica */
  const char              *symbol;
  char                    *name;
  PetscBool                match;

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

  /* Make sure Mathematica recognizes sparse matrices */
  MLPutFunction(link, "EvaluatePacket", 1);
  MLPutFunction(link, "Needs", 1);
  MLPutString(link, "LinearAlgebra`CSRMatrix`");
  MLEndPacket(link);
  /* Skip packets until ReturnPacket */
  PetscCall(PetscViewerMathematicaSkipPackets(viewer, RETURNPKT));
  /* Skip ReturnPacket */
  MLNewPacket(link);

  /* Send the CSRMatrix object */
  MLPutFunction(link, "EvaluatePacket", 1);
  MLPutFunction(link, "Set", 2);
  MLPutSymbol(link, name);
  MLPutFunction(link, "CSRMatrix", 5);
  MLPutInteger(link, m);
  MLPutInteger(link, n);
  MLPutFunction(link, "Plus", 2);
  MLPutIntegerList(link, i, m + 1);
  MLPutInteger(link, 1);
  MLPutFunction(link, "Plus", 2);
  MLPutIntegerList(link, j, i[m]);
  MLPutInteger(link, 1);
  MLPutRealList(link, a, i[m]);
  MLEndPacket(link);
  /* Skip packets until ReturnPacket */
  PetscCall(PetscViewerMathematicaSkipPackets(viewer, RETURNPKT));
  /* Skip ReturnPacket */
  MLNewPacket(link);

  /* Check that matrix is valid */
  MLPutFunction(link, "EvaluatePacket", 1);
  MLPutFunction(link, "ValidQ", 1);
  MLPutSymbol(link, name);
  MLEndPacket(link);
  PetscCall(PetscViewerMathematicaSkipPackets(viewer, RETURNPKT));
  MLGetSymbol(link, &symbol);
  PetscCall(PetscStrcmp("True", (char *)symbol, &match));
  if (!match) {
    MLDisownSymbol(link, symbol);
    SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid CSR matrix in Mathematica");
  }
  MLDisownSymbol(link, symbol);
  /* Skip ReturnPacket */
  MLNewPacket(link);
  PetscFunctionReturn(0);
}