comparison src/fftw-3.3.3/mpi/mpi-bench.c @ 10:37bf6b4a2645

Add FFTW3

+/**************************************************************************/
+/* NOTE to users: this is the FFTW-MPI self-test and benchmark program.
+   It is probably NOT a good place to learn FFTW usage, since it has a
+   lot of added complexity in order to exercise and test the full API,
+   etcetera.  We suggest reading the manual. */
+/**************************************************************************/
+
+#include <math.h>
+#include <stdio.h>
+#include <string.h>
+#include "fftw3-mpi.h"
+#include "fftw-bench.h"
+
+#if defined(BENCHFFT_SINGLE)
+#  define BENCH_MPI_TYPE MPI_FLOAT
+#elif defined(BENCHFFT_LDOUBLE)
+#  define BENCH_MPI_TYPE MPI_LONG_DOUBLE
+#elif defined(BENCHFFT_QUAD)
+#  error MPI quad-precision type is unknown
+#else
+#  define BENCH_MPI_TYPE MPI_DOUBLE
+#endif
+
+#if SIZEOF_PTRDIFF_T == SIZEOF_INT
+#  define FFTW_MPI_PTRDIFF_T MPI_INT
+#elif SIZEOF_PTRDIFF_T == SIZEOF_LONG
+#  define FFTW_MPI_PTRDIFF_T MPI_LONG
+#elif SIZEOF_PTRDIFF_T == SIZEOF_LONG_LONG
+#  define FFTW_MPI_PTRDIFF_T MPI_LONG_LONG
+#else
+#  error MPI type for ptrdiff_t is unknown
+#  define FFTW_MPI_PTRDIFF_T MPI_LONG
+#endif
+
+static const char *mkversion(void) { return FFTW(version); }
+static const char *mkcc(void) { return FFTW(cc); }
+static const char *mkcodelet_optim(void) { return FFTW(codelet_optim); }
+static const char *mknproc(void) {
+     static char buf[32];
+     int ncpus;
+     MPI_Comm_size(MPI_COMM_WORLD, &ncpus);
+#ifdef HAVE_SNPRINTF
+     snprintf(buf, 32, "%d", ncpus);
+#else
+     sprintf(buf, "%d", ncpus);
+#endif
+     return buf;
+}
+
+BEGIN_BENCH_DOC
+BENCH_DOC("name", "fftw3_mpi")
+BENCH_DOCF("version", mkversion)
+BENCH_DOCF("cc", mkcc)
+BENCH_DOCF("codelet-optim", mkcodelet_optim)
+BENCH_DOCF("nproc", mknproc)
+END_BENCH_DOC 
+
+static int n_pes = 1, my_pe = 0;
+
+/* global variables describing the shape of the data and its distribution */
+static int rnk;
+static ptrdiff_t vn, iNtot, oNtot;
+static ptrdiff_t *local_ni=0, *local_starti=0;
+static ptrdiff_t *local_no=0, *local_starto=0;
+static ptrdiff_t *all_local_ni=0, *all_local_starti=0; /* n_pes x rnk arrays */
+static ptrdiff_t *all_local_no=0, *all_local_starto=0; /* n_pes x rnk arrays */
+static ptrdiff_t *istrides = 0, *ostrides = 0;
+static ptrdiff_t *total_ni=0, *total_no=0;
+static int *isend_cnt = 0, *isend_off = 0; /* for MPI_Scatterv */
+static int *orecv_cnt = 0, *orecv_off = 0; /* for MPI_Gatherv */
+
+static bench_real *local_in = 0, *local_out = 0;
+static bench_real *all_local_in = 0, *all_local_out = 0;
+static int all_local_in_alloc = 0, all_local_out_alloc = 0;
+static FFTW(plan) plan_scramble_in = 0, plan_unscramble_out = 0;
+
+static void alloc_rnk(int rnk_) {
+     rnk = rnk_;
+     bench_free(local_ni);
+     if (rnk == 0)
+	  local_ni = 0;
+     else
+	  local_ni = (ptrdiff_t *) bench_malloc(sizeof(ptrdiff_t) * rnk
+						* (8 + n_pes * 4));
+
+     local_starti = local_ni + rnk;
+     local_no = local_ni + 2 * rnk;
+     local_starto = local_ni + 3 * rnk;
+     istrides = local_ni + 4 * rnk;
+     ostrides = local_ni + 5 * rnk;
+     total_ni = local_ni + 6 * rnk;
+     total_no = local_ni + 7 * rnk;
+     all_local_ni = local_ni + 8 * rnk;
+     all_local_starti = local_ni + (8 + n_pes) * rnk;
+     all_local_no = local_ni + (8 + 2 * n_pes) * rnk;
+     all_local_starto = local_ni + (8 + 3 * n_pes) * rnk;
+}
+
+static void setup_gather_scatter(void)
+{
+     int i, j;
+     ptrdiff_t off;
+
+     MPI_Gather(local_ni, rnk, FFTW_MPI_PTRDIFF_T,
+		all_local_ni, rnk, FFTW_MPI_PTRDIFF_T,
+		0, MPI_COMM_WORLD);
+     MPI_Bcast(all_local_ni, rnk*n_pes, FFTW_MPI_PTRDIFF_T, 0, MPI_COMM_WORLD);
+     MPI_Gather(local_starti, rnk, FFTW_MPI_PTRDIFF_T,
+		all_local_starti, rnk, FFTW_MPI_PTRDIFF_T,
+		0, MPI_COMM_WORLD);
+     MPI_Bcast(all_local_starti, rnk*n_pes, FFTW_MPI_PTRDIFF_T, 0, MPI_COMM_WORLD);
+
+     MPI_Gather(local_no, rnk, FFTW_MPI_PTRDIFF_T,
+		all_local_no, rnk, FFTW_MPI_PTRDIFF_T,
+		0, MPI_COMM_WORLD);
+     MPI_Bcast(all_local_no, rnk*n_pes, FFTW_MPI_PTRDIFF_T, 0, MPI_COMM_WORLD);
+     MPI_Gather(local_starto, rnk, FFTW_MPI_PTRDIFF_T,
+		all_local_starto, rnk, FFTW_MPI_PTRDIFF_T,
+		0, MPI_COMM_WORLD);
+     MPI_Bcast(all_local_starto, rnk*n_pes, FFTW_MPI_PTRDIFF_T, 0, MPI_COMM_WORLD);
+
+     off = 0;
+     for (i = 0; i < n_pes; ++i) {
+	  ptrdiff_t N = vn;
+	  for (j = 0; j < rnk; ++j)
+	       N *= all_local_ni[i * rnk + j];
+	  isend_cnt[i] = N;
+	  isend_off[i] = off;
+	  off += N;
+     }
+     iNtot = off;
+     all_local_in_alloc = 1;
+
+     istrides[rnk - 1] = vn;
+     for (j = rnk - 2; j >= 0; --j)
+	  istrides[j] = total_ni[j + 1] * istrides[j + 1];
+
+     off = 0;
+     for (i = 0; i < n_pes; ++i) {
+	  ptrdiff_t N = vn;
+	  for (j = 0; j < rnk; ++j)
+	       N *= all_local_no[i * rnk + j];
+	  orecv_cnt[i] = N;
+	  orecv_off[i] = off;
+	  off += N;
+     }
+     oNtot = off;
+     all_local_out_alloc = 1;
+
+     ostrides[rnk - 1] = vn;
+     for (j = rnk - 2; j >= 0; --j)
+	  ostrides[j] = total_no[j + 1] * ostrides[j + 1];
+}
+
+static void copy_block_out(const bench_real *in,
+			   int rnk, ptrdiff_t *n, ptrdiff_t *start, 
+			   ptrdiff_t is, ptrdiff_t *os, ptrdiff_t vn,
+			   bench_real *out)
+{
+     ptrdiff_t i;
+     if (rnk == 0) { 
+	  for (i = 0; i < vn; ++i)
+	       out[i] = in[i];
+     }
+     else if (rnk == 1) { /* this case is just an optimization */
+	  ptrdiff_t j;
+	  out += start[0] * os[0];
+	  for (j = 0; j < n[0]; ++j) {
+	       for (i = 0; i < vn; ++i)
+		    out[i] = in[i];
+	       in += is;
+	       out += os[0];
+	  }
+     }
+     else {
+	  /* we should do n[0] for locality, but this way is simpler to code */
+	  for (i = 0; i < n[rnk - 1]; ++i) 
+	       copy_block_out(in + i * is,
+			      rnk - 1, n, start, is * n[rnk - 1], os, vn,
+			      out + (start[rnk - 1] + i) * os[rnk - 1]);
+     }
+}
+
+static void copy_block_in(bench_real *in,
+			  int rnk, ptrdiff_t *n, ptrdiff_t *start, 
+			  ptrdiff_t is, ptrdiff_t *os, ptrdiff_t vn,
+			  const bench_real *out)
+{
+     ptrdiff_t i;
+     if (rnk == 0) { 
+	  for (i = 0; i < vn; ++i)
+	       in[i] = out[i];
+     }
+     else if (rnk == 1) { /* this case is just an optimization */
+	  ptrdiff_t j;
+	  out += start[0] * os[0];
+	  for (j = 0; j < n[0]; ++j) {
+	       for (i = 0; i < vn; ++i)
+		    in[i] = out[i];
+	       in += is;
+	       out += os[0];
+	  }
+     }
+     else {
+	  /* we should do n[0] for locality, but this way is simpler to code */
+	  for (i = 0; i < n[rnk - 1]; ++i) 
+	       copy_block_in(in + i * is,
+			     rnk - 1, n, start, is * n[rnk - 1], os, vn,
+			     out + (start[rnk - 1] + i) * os[rnk - 1]);
+     }
+}
+
+static void do_scatter_in(bench_real *in)
+{
+     bench_real *ali;
+     int i;
+     if (all_local_in_alloc) {
+          bench_free(all_local_in);
+	  all_local_in = (bench_real*) bench_malloc(iNtot*sizeof(bench_real));
+	  all_local_in_alloc = 0;
+     }
+     ali = all_local_in;
+     for (i = 0; i < n_pes; ++i) {
+	  copy_block_in(ali,
+			rnk, all_local_ni + i * rnk, 
+			all_local_starti + i * rnk,
+			vn, istrides, vn,
+			in);
+	  ali += isend_cnt[i];
+     }
+     MPI_Scatterv(all_local_in, isend_cnt, isend_off, BENCH_MPI_TYPE,
+		  local_in, isend_cnt[my_pe], BENCH_MPI_TYPE,
+		  0, MPI_COMM_WORLD);
+}
+
+static void do_gather_out(bench_real *out)
+{
+     bench_real *alo;
+     int i;
+
+     if (all_local_out_alloc) {
+          bench_free(all_local_out);
+	  all_local_out = (bench_real*) bench_malloc(oNtot*sizeof(bench_real));
+	  all_local_out_alloc = 0;
+     }
+     MPI_Gatherv(local_out, orecv_cnt[my_pe], BENCH_MPI_TYPE,
+		 all_local_out, orecv_cnt, orecv_off, BENCH_MPI_TYPE,
+		 0, MPI_COMM_WORLD);
+     MPI_Bcast(all_local_out, oNtot, BENCH_MPI_TYPE, 0, MPI_COMM_WORLD);
+     alo = all_local_out;
+     for (i = 0; i < n_pes; ++i) {
+	  copy_block_out(alo,
+			 rnk, all_local_no + i * rnk, 
+			 all_local_starto + i * rnk,
+			 vn, ostrides, vn,
+			 out);
+	  alo += orecv_cnt[i];
+     }
+}
+
+static void alloc_local(ptrdiff_t nreal, int inplace)
+{
+     bench_free(local_in);
+     if (local_out != local_in) bench_free(local_out);
+     local_in = local_out = 0;
+     if (nreal > 0) {
+	  ptrdiff_t i;
+	  local_in = (bench_real*) bench_malloc(nreal * sizeof(bench_real));
+	  if (inplace)
+	       local_out = local_in;
+	  else
+	       local_out = (bench_real*) bench_malloc(nreal * sizeof(bench_real));
+	  for (i = 0; i < nreal; ++i) local_in[i] = local_out[i] = 0.0;
+     }
+}
+
+void after_problem_rcopy_from(bench_problem *p, bench_real *ri)
+{
+     UNUSED(p);
+     do_scatter_in(ri);
+     if (plan_scramble_in) FFTW(execute)(plan_scramble_in);
+}
+
+void after_problem_rcopy_to(bench_problem *p, bench_real *ro)
+{
+     UNUSED(p);
+     if (plan_unscramble_out) FFTW(execute)(plan_unscramble_out);
+     do_gather_out(ro);
+}
+
+void after_problem_ccopy_from(bench_problem *p, bench_real *ri, bench_real *ii)
+{
+     UNUSED(ii);
+     after_problem_rcopy_from(p, ri);
+}
+
+void after_problem_ccopy_to(bench_problem *p, bench_real *ro, bench_real *io)
+{
+     UNUSED(io);
+     after_problem_rcopy_to(p, ro);
+}
+
+void after_problem_hccopy_from(bench_problem *p, bench_real *ri, bench_real *ii)
+{
+     UNUSED(ii);
+     after_problem_rcopy_from(p, ri);
+}
+
+void after_problem_hccopy_to(bench_problem *p, bench_real *ro, bench_real *io)
+{
+     UNUSED(io);
+     after_problem_rcopy_to(p, ro);
+}
+
+static FFTW(plan) mkplan_transpose_local(ptrdiff_t nx, ptrdiff_t ny, 
+					 ptrdiff_t vn, 
+					 bench_real *in, bench_real *out)
+{
+     FFTW(iodim64) hdims[3];
+     FFTW(r2r_kind) k[3];
+     FFTW(plan) pln;
+
+     hdims[0].n = nx;
+     hdims[0].is = ny * vn;
+     hdims[0].os = vn;
+     hdims[1].n = ny;
+     hdims[1].is = vn;
+     hdims[1].os = nx * vn;
+     hdims[2].n = vn;
+     hdims[2].is = 1;
+     hdims[2].os = 1;
+     k[0] = k[1] = k[2] = FFTW_R2HC;
+     pln = FFTW(plan_guru64_r2r)(0, 0, 3, hdims, in, out, k, FFTW_ESTIMATE);
+     BENCH_ASSERT(pln != 0);
+     return pln;
+}
+
+static int tensor_rowmajor_transposedp(bench_tensor *t)
+{
+     bench_iodim *d;
+     int i;
+
+     BENCH_ASSERT(FINITE_RNK(t->rnk));
+     if (t->rnk < 2)
+	  return 0;
+
+     d = t->dims;
+     if (d[0].is != d[1].is * d[1].n
+	 || d[0].os != d[1].is
+	 || d[1].os != d[0].os * d[0].n)
+	  return 0;
+     if (t->rnk > 2 && d[1].is != d[2].is * d[2].n)
+	  return 0;
+     for (i = 2; i + 1 < t->rnk; ++i) {
+          d = t->dims + i;
+          if (d[0].is != d[1].is * d[1].n
+	      || d[0].os != d[1].os * d[1].n)
+               return 0;
+     }
+
+     if (t->rnk > 2 && t->dims[t->rnk-1].is != t->dims[t->rnk-1].os)
+	  return 0;
+     return 1;
+}
+
+static int tensor_contiguousp(bench_tensor *t, int s)
+{
+     return (t->dims[t->rnk-1].is == s
+	     && ((tensor_rowmajorp(t) && 
+		  t->dims[t->rnk-1].is == t->dims[t->rnk-1].os)
+		 || tensor_rowmajor_transposedp(t)));
+}
+
+static FFTW(plan) mkplan_complex(bench_problem *p, unsigned flags)
+{
+     FFTW(plan) pln = 0;
+     int i; 
+     ptrdiff_t ntot;
+
+     vn = p->vecsz->rnk == 1 ? p->vecsz->dims[0].n : 1;
+
+     if (p->sz->rnk < 1
+	 || p->split
+	 || !tensor_contiguousp(p->sz, vn)
+	 || tensor_rowmajor_transposedp(p->sz)
+	 || p->vecsz->rnk > 1
+	 || (p->vecsz->rnk == 1 && (p->vecsz->dims[0].is != 1
+				    || p->vecsz->dims[0].os != 1)))
+	  return 0;
+
+     alloc_rnk(p->sz->rnk);
+     for (i = 0; i < rnk; ++i) {
+	  total_ni[i] = total_no[i] = p->sz->dims[i].n;
+	  local_ni[i] = local_no[i] = total_ni[i];
+	  local_starti[i] = local_starto[i] = 0;
+     }
+     if (rnk > 1) {
+	  ptrdiff_t n, start, nT, startT;
+	  ntot = FFTW(mpi_local_size_many_transposed)
+	       (p->sz->rnk, total_ni, vn,
+		FFTW_MPI_DEFAULT_BLOCK, FFTW_MPI_DEFAULT_BLOCK,
+		MPI_COMM_WORLD,
+		&n, &start, &nT, &startT);
+	  if  (flags & FFTW_MPI_TRANSPOSED_IN) {
+	       local_ni[1] = nT;
+	       local_starti[1] = startT;
+	  }
+	  else {
+	       local_ni[0] = n;
+	       local_starti[0] = start;
+	  }
+	  if  (flags & FFTW_MPI_TRANSPOSED_OUT) {
+	       local_no[1] = nT;
+	       local_starto[1] = startT;
+	  }
+	  else {
+	       local_no[0] = n;
+	       local_starto[0] = start;
+	  }
+     }
+     else if (rnk == 1) {
+	  ntot = FFTW(mpi_local_size_many_1d)
+	       (total_ni[0], vn, MPI_COMM_WORLD, p->sign, flags,
+		local_ni, local_starti, local_no, local_starto);
+     }
+     alloc_local(ntot * 2, p->in == p->out);
+
+     pln = FFTW(mpi_plan_many_dft)(p->sz->rnk, total_ni, vn, 
+				   FFTW_MPI_DEFAULT_BLOCK,
+				   FFTW_MPI_DEFAULT_BLOCK,
+				   (FFTW(complex) *) local_in, 
+				   (FFTW(complex) *) local_out,
+				   MPI_COMM_WORLD, p->sign, flags);
+
+     vn *= 2;
+
+     if (rnk > 1) {
+	  ptrdiff_t nrest = 1;
+	  for (i = 2; i < rnk; ++i) nrest *= p->sz->dims[i].n;
+	  if (flags & FFTW_MPI_TRANSPOSED_IN)
+	       plan_scramble_in = mkplan_transpose_local(
+		    p->sz->dims[0].n, local_ni[1], vn * nrest,
+		    local_in, local_in);
+	  if (flags & FFTW_MPI_TRANSPOSED_OUT)
+	       plan_unscramble_out = mkplan_transpose_local(
+		    local_no[1], p->sz->dims[0].n, vn * nrest,
+		    local_out, local_out);
+     }
+     
+     return pln;
+}
+
+static int tensor_real_contiguousp(bench_tensor *t, int sign, int s)
+{
+     return (t->dims[t->rnk-1].is == s
+	     && ((tensor_real_rowmajorp(t, sign, 1) && 
+		  t->dims[t->rnk-1].is == t->dims[t->rnk-1].os)));
+}
+
+static FFTW(plan) mkplan_real(bench_problem *p, unsigned flags)
+{
+     FFTW(plan) pln = 0;
+     int i; 
+     ptrdiff_t ntot;
+
+     vn = p->vecsz->rnk == 1 ? p->vecsz->dims[0].n : 1;
+
+     if (p->sz->rnk < 2
+	 || p->split
+	 || !tensor_real_contiguousp(p->sz, p->sign, vn)
+	 || tensor_rowmajor_transposedp(p->sz)
+	 || p->vecsz->rnk > 1
+	 || (p->vecsz->rnk == 1 && (p->vecsz->dims[0].is != 1
+				    || p->vecsz->dims[0].os != 1)))
+	  return 0;
+
+     alloc_rnk(p->sz->rnk);
+     for (i = 0; i < rnk; ++i) {
+	  total_ni[i] = total_no[i] = p->sz->dims[i].n;
+	  local_ni[i] = local_no[i] = total_ni[i];
+	  local_starti[i] = local_starto[i] = 0;
+     }
+     local_ni[rnk-1] = local_no[rnk-1] = total_ni[rnk-1] = total_no[rnk-1] 
+	  = p->sz->dims[rnk-1].n / 2 + 1;
+     {
+	  ptrdiff_t n, start, nT, startT;
+	  ntot = FFTW(mpi_local_size_many_transposed)
+	       (p->sz->rnk, total_ni, vn,
+		FFTW_MPI_DEFAULT_BLOCK, FFTW_MPI_DEFAULT_BLOCK,
+		MPI_COMM_WORLD,
+		&n, &start, &nT, &startT);
+	  if  (flags & FFTW_MPI_TRANSPOSED_IN) {
+	       local_ni[1] = nT;
+	       local_starti[1] = startT;
+	  }
+	  else {
+	       local_ni[0] = n;
+	       local_starti[0] = start;
+	  }
+	  if  (flags & FFTW_MPI_TRANSPOSED_OUT) {
+	       local_no[1] = nT;
+	       local_starto[1] = startT;
+	  }
+	  else {
+	       local_no[0] = n;
+	       local_starto[0] = start;
+	  }
+     }
+     alloc_local(ntot * 2, p->in == p->out);
+
+     total_ni[rnk - 1] = p->sz->dims[rnk - 1].n;
+     if (p->sign < 0)
+	  pln = FFTW(mpi_plan_many_dft_r2c)(p->sz->rnk, total_ni, vn, 
+					    FFTW_MPI_DEFAULT_BLOCK,
+					    FFTW_MPI_DEFAULT_BLOCK,
+					    local_in, 
+					    (FFTW(complex) *) local_out,
+					    MPI_COMM_WORLD, flags);
+     else
+	  pln = FFTW(mpi_plan_many_dft_c2r)(p->sz->rnk, total_ni, vn, 
+					    FFTW_MPI_DEFAULT_BLOCK,
+					    FFTW_MPI_DEFAULT_BLOCK,
+					    (FFTW(complex) *) local_in, 
+					    local_out,
+					    MPI_COMM_WORLD, flags);
+
+     total_ni[rnk - 1] = p->sz->dims[rnk - 1].n / 2 + 1;
+     vn *= 2;
+
+     {
+	  ptrdiff_t nrest = 1;
+	  for (i = 2; i < rnk; ++i) nrest *= total_ni[i];
+	  if (flags & FFTW_MPI_TRANSPOSED_IN)
+	       plan_scramble_in = mkplan_transpose_local(
+		    total_ni[0], local_ni[1], vn * nrest,
+		    local_in, local_in);
+	  if (flags & FFTW_MPI_TRANSPOSED_OUT)
+	       plan_unscramble_out = mkplan_transpose_local(
+		    local_no[1], total_ni[0], vn * nrest,
+		    local_out, local_out);
+     }
+     
+     return pln;
+}
+
+static FFTW(plan) mkplan_transpose(bench_problem *p, unsigned flags)
+{
+     ptrdiff_t ntot, nx, ny;
+     int ix=0, iy=1, i;
+     const bench_iodim *d = p->vecsz->dims;
+     FFTW(plan) pln;
+
+     if (p->vecsz->rnk == 3) {
+	  for (i = 0; i < 3; ++i)
+	       if (d[i].is == 1 && d[i].os == 1) {
+		    vn = d[i].n;
+		    ix = (i + 1) % 3;
+		    iy = (i + 2) % 3;
+		    break;
+	       }
+	  if (i == 3) return 0;
+     }
+     else {
+	  vn = 1;
+	  ix = 0;
+	  iy = 1;
+     }
+
+     if (d[ix].is == d[iy].n * vn && d[ix].os == vn
+	 && d[iy].os == d[ix].n * vn && d[iy].is == vn) {
+	  nx = d[ix].n;
+	  ny = d[iy].n;
+     }
+     else if (d[iy].is == d[ix].n * vn && d[iy].os == vn
+	      && d[ix].os == d[iy].n * vn && d[ix].is == vn) {
+	  nx = d[iy].n;
+	  ny = d[ix].n;
+     }
+     else
+	  return 0;
+
+     alloc_rnk(2);
+     ntot = vn * FFTW(mpi_local_size_2d_transposed)(nx, ny, MPI_COMM_WORLD,
+						    &local_ni[0], 
+						    &local_starti[0],
+						    &local_no[0], 
+						    &local_starto[0]);
+     local_ni[1] = ny;
+     local_starti[1] = 0;
+     local_no[1] = nx;
+     local_starto[1] = 0;
+     total_ni[0] = nx; total_ni[1] = ny;
+     total_no[1] = nx; total_no[0] = ny;
+     alloc_local(ntot, p->in == p->out);
+
+     pln = FFTW(mpi_plan_many_transpose)(nx, ny, vn,
+					 FFTW_MPI_DEFAULT_BLOCK,
+					 FFTW_MPI_DEFAULT_BLOCK,
+					 local_in, local_out,
+					 MPI_COMM_WORLD, flags);
+     
+     if (flags & FFTW_MPI_TRANSPOSED_IN)
+	  plan_scramble_in = mkplan_transpose_local(local_ni[0], ny, vn,
+						    local_in, local_in);
+     if (flags & FFTW_MPI_TRANSPOSED_OUT)
+	  plan_unscramble_out = mkplan_transpose_local
+	       (nx, local_no[0], vn, local_out, local_out);
+     
+#if 0
+     if (pln && vn == 1) {
+	  int i, j;
+	  bench_real *ri = (bench_real *) p->in;
+	  bench_real *ro = (bench_real *) p->out;
+	  if (!ri || !ro) return pln;
+	  setup_gather_scatter();
+	  for (i = 0; i < nx * ny; ++i)
+	       ri[i] = i;
+	  after_problem_rcopy_from(p, ri);
+	  FFTW(execute)(pln);
+	  after_problem_rcopy_to(p, ro);
+	  if (my_pe == 0) {
+	       for (i = 0; i < nx; ++i) {
+		    for (j = 0; j < ny; ++j)
+			 printf("  %3g", ro[j * nx + i]);
+		    printf("\n");
+	       }
+	  }
+     }
+#endif
+
+     return pln;
+}
+
+static FFTW(plan) mkplan_r2r(bench_problem *p, unsigned flags)
+{
+     FFTW(plan) pln = 0;
+     int i; 
+     ptrdiff_t ntot;
+     FFTW(r2r_kind) *k;
+
+     if ((p->sz->rnk == 0 || (p->sz->rnk == 1 && p->sz->dims[0].n == 1))
+	 && p->vecsz->rnk >= 2 && p->vecsz->rnk <= 3)
+	  return mkplan_transpose(p, flags);
+
+     vn = p->vecsz->rnk == 1 ? p->vecsz->dims[0].n : 1;
+
+     if (p->sz->rnk < 1
+	 || p->split
+	 || !tensor_contiguousp(p->sz, vn)
+	 || tensor_rowmajor_transposedp(p->sz)
+	 || p->vecsz->rnk > 1
+	 || (p->vecsz->rnk == 1 && (p->vecsz->dims[0].is != 1
+				    || p->vecsz->dims[0].os != 1)))
+	  return 0;
+
+     alloc_rnk(p->sz->rnk);
+     for (i = 0; i < rnk; ++i) {
+	  total_ni[i] = total_no[i] = p->sz->dims[i].n;
+	  local_ni[i] = local_no[i] = total_ni[i];
+	  local_starti[i] = local_starto[i] = 0;
+     }
+     if (rnk > 1) {
+	  ptrdiff_t n, start, nT, startT;
+	  ntot = FFTW(mpi_local_size_many_transposed)
+	       (p->sz->rnk, total_ni, vn,
+		FFTW_MPI_DEFAULT_BLOCK, FFTW_MPI_DEFAULT_BLOCK,
+		MPI_COMM_WORLD,
+		&n, &start, &nT, &startT);
+	  if  (flags & FFTW_MPI_TRANSPOSED_IN) {
+	       local_ni[1] = nT;
+	       local_starti[1] = startT;
+	  }
+	  else {
+	       local_ni[0] = n;
+	       local_starti[0] = start;
+	  }
+	  if  (flags & FFTW_MPI_TRANSPOSED_OUT) {
+	       local_no[1] = nT;
+	       local_starto[1] = startT;
+	  }
+	  else {
+	       local_no[0] = n;
+	       local_starto[0] = start;
+	  }
+     }
+     else if (rnk == 1) {
+	  ntot = FFTW(mpi_local_size_many_1d)
+	       (total_ni[0], vn, MPI_COMM_WORLD, p->sign, flags,
+		local_ni, local_starti, local_no, local_starto);
+     }
+     alloc_local(ntot, p->in == p->out);
+
+     k = (FFTW(r2r_kind) *) bench_malloc(sizeof(FFTW(r2r_kind)) * p->sz->rnk);
+     for (i = 0; i < p->sz->rnk; ++i)
+	  switch (p->k[i]) {
+	      case R2R_R2HC: k[i] = FFTW_R2HC; break;
+	      case R2R_HC2R: k[i] = FFTW_HC2R; break;
+	      case R2R_DHT: k[i] = FFTW_DHT; break;
+	      case R2R_REDFT00: k[i] = FFTW_REDFT00; break;
+	      case R2R_REDFT01: k[i] = FFTW_REDFT01; break;
+	      case R2R_REDFT10: k[i] = FFTW_REDFT10; break;
+	      case R2R_REDFT11: k[i] = FFTW_REDFT11; break;
+	      case R2R_RODFT00: k[i] = FFTW_RODFT00; break;
+	      case R2R_RODFT01: k[i] = FFTW_RODFT01; break;
+	      case R2R_RODFT10: k[i] = FFTW_RODFT10; break;
+	      case R2R_RODFT11: k[i] = FFTW_RODFT11; break;
+	      default: BENCH_ASSERT(0);
+	  }
+
+     pln = FFTW(mpi_plan_many_r2r)(p->sz->rnk, total_ni, vn, 
+				   FFTW_MPI_DEFAULT_BLOCK,
+				   FFTW_MPI_DEFAULT_BLOCK,
+				   local_in, local_out,
+				   MPI_COMM_WORLD, k, flags);
+     bench_free(k);
+
+     if (rnk > 1) {
+	  ptrdiff_t nrest = 1;
+	  for (i = 2; i < rnk; ++i) nrest *= p->sz->dims[i].n;
+	  if (flags & FFTW_MPI_TRANSPOSED_IN)
+	       plan_scramble_in = mkplan_transpose_local(
+		    p->sz->dims[0].n, local_ni[1], vn * nrest,
+		    local_in, local_in);
+	  if (flags & FFTW_MPI_TRANSPOSED_OUT)
+	       plan_unscramble_out = mkplan_transpose_local(
+		    local_no[1], p->sz->dims[0].n, vn * nrest,
+		    local_out, local_out);
+     }
+     
+     return pln;
+}
+
+FFTW(plan) mkplan(bench_problem *p, unsigned flags)
+{
+     FFTW(plan) pln = 0;
+     FFTW(destroy_plan)(plan_scramble_in); plan_scramble_in = 0;
+     FFTW(destroy_plan)(plan_unscramble_out); plan_unscramble_out = 0;
+     if (p->scrambled_in) {
+	  if (p->sz->rnk == 1 && p->sz->dims[0].n != 1) 
+	       flags |= FFTW_MPI_SCRAMBLED_IN;
+	  else
+	       flags |= FFTW_MPI_TRANSPOSED_IN;
+     }
+     if (p->scrambled_out) {
+	  if (p->sz->rnk == 1 && p->sz->dims[0].n != 1) 
+	       flags |= FFTW_MPI_SCRAMBLED_OUT;
+	  else
+	       flags |= FFTW_MPI_TRANSPOSED_OUT;
+     }
+     switch (p->kind) {
+         case PROBLEM_COMPLEX: 
+	      pln =mkplan_complex(p, flags);
+	      break;
+         case PROBLEM_REAL: 
+	      pln = mkplan_real(p, flags);
+	      break;
+         case PROBLEM_R2R:
+	      pln = mkplan_r2r(p, flags);
+	      break;
+         default: BENCH_ASSERT(0);
+     }
+     if (pln) setup_gather_scatter();
+     return pln;
+}
+
+void main_init(int *argc, char ***argv)
+{
+#ifdef HAVE_SMP
+# if MPI_VERSION >= 2 /* for MPI_Init_thread */
+     int provided;
+     MPI_Init_thread(argc, argv, MPI_THREAD_FUNNELED, &provided);
+     threads_ok = provided >= MPI_THREAD_FUNNELED;
+# else
+     MPI_Init(argc, argv);
+     threads_ok = 0;
+# endif
+#else
+     MPI_Init(argc, argv);
+#endif
+     MPI_Comm_rank(MPI_COMM_WORLD, &my_pe);
+     MPI_Comm_size(MPI_COMM_WORLD, &n_pes);
+     if (my_pe != 0) verbose = -999;
+     no_speed_allocation = 1; /* so we can benchmark transforms > memory */
+     always_pad_real = 1; /* out-of-place real transforms are padded */
+     isend_cnt = (int *) bench_malloc(sizeof(int) * n_pes);
+     isend_off = (int *) bench_malloc(sizeof(int) * n_pes);
+     orecv_cnt = (int *) bench_malloc(sizeof(int) * n_pes);
+     orecv_off = (int *) bench_malloc(sizeof(int) * n_pes);
+
+     /* init_threads must be called before any other FFTW function,
+	including mpi_init, because it has to register the threads hooks
+	before the planner is initalized */
+#ifdef HAVE_SMP
+     if (threads_ok) { BENCH_ASSERT(FFTW(init_threads)()); }
+#endif
+     FFTW(mpi_init)();
+}
+
+void initial_cleanup(void)
+{
+     alloc_rnk(0);
+     alloc_local(0, 0);
+     bench_free(all_local_in); all_local_in = 0;
+     bench_free(all_local_out); all_local_out = 0;
+     bench_free(isend_off); isend_off = 0;
+     bench_free(isend_cnt); isend_cnt = 0;
+     bench_free(orecv_off); orecv_off = 0;
+     bench_free(orecv_cnt); orecv_cnt = 0;
+     FFTW(destroy_plan)(plan_scramble_in); plan_scramble_in = 0;
+     FFTW(destroy_plan)(plan_unscramble_out); plan_unscramble_out = 0;
+}
+
+void final_cleanup(void)
+{
+     MPI_Finalize();
+}
+
+void bench_exit(int status)
+{
+     MPI_Abort(MPI_COMM_WORLD, status);
+}
+
+double bench_cost_postprocess(double cost)
+{
+     double cost_max;
+     MPI_Allreduce(&cost, &cost_max, 1, MPI_DOUBLE, MPI_MAX, MPI_COMM_WORLD);
+     return cost_max;
+}
+
+
+int import_wisdom(FILE *f)
+{
+     int success = 1, sall;
+     if (my_pe == 0) success = FFTW(import_wisdom_from_file)(f);
+     FFTW(mpi_broadcast_wisdom)(MPI_COMM_WORLD);
+     MPI_Allreduce(&success, &sall, 1, MPI_INT, MPI_LAND, MPI_COMM_WORLD);
+     return sall;
+}
+
+void export_wisdom(FILE *f)
+{
+     FFTW(mpi_gather_wisdom)(MPI_COMM_WORLD);
+     if (my_pe == 0) FFTW(export_wisdom_to_file)(f);
+}