[mpich-commits] [mpich] MPICH primary repository branch, master, updated. v3.2-340-g5662f72

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http://git.mpich.org/mpich.git/commitdiff/5662f72d7bdb4fdcad23a98214f76836aac8c15d

commit 5662f72d7bdb4fdcad23a98214f76836aac8c15d
Author: William Gropp <wgropp at illinois.edu>
Date:   Fri Dec 18 11:01:59 2015 -0600

    whitespace: code cleanup for dims_create
    
    Signed-off-by: Ken Raffenetti <raffenet at mcs.anl.gov>

diff --git a/src/mpi/topo/dims_create.c b/src/mpi/topo/dims_create.c
index a286576..52a2c6e 100644
--- a/src/mpi/topo/dims_create.c
+++ b/src/mpi/topo/dims_create.c
@@ -43,18 +43,24 @@ cvars:
 #elif defined(HAVE_PRAGMA_CRI_DUP)
 #pragma _CRI duplicate MPI_Dims_create as PMPI_Dims_create
 #elif defined(HAVE_WEAK_ATTRIBUTE)
-int MPI_Dims_create(int nnodes, int ndims, int dims[]) __attribute__((weak,alias("PMPI_Dims_create")));
+int MPI_Dims_create(int nnodes, int ndims, int dims[])
+    __attribute__ ((weak, alias("PMPI_Dims_create")));
 #endif
 /* -- End Profiling Symbol Block */
 
+
+
 /* Because we store factors with their multiplicities, a small array can
-   store all of the factors for a large number (grows *faster* than n 
+   store all of the factors for a large number (grows *faster* than n
    factorial). */
 #define MAX_FACTORS 10
 /* 2^20 is a millon */
 #define MAX_DIMS    20
 
-typedef struct Factors { int val, cnt; } Factors;
+typedef struct Factors {
+    int val, cnt;
+} Factors;
+
 /* These routines may be global if we are not using weak symbols */
 PMPI_LOCAL int MPIR_Dims_create_init(void);
 PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[]);
@@ -195,68 +201,68 @@ static int factor_num(int nn, Factors factors[], int *nprimes)
     int cnt;
 
     /* Find the prime number that less than that value and try dividing
-       out the primes.  */
+     * out the primes.  */
 
     /* First, get factors of 2 without division */
     if ((n & 0x1) == 0) {
-	cnt = 1;
-	n >>= 1;
-	while ((n & 0x1) == 0) {
-	    cnt++;
-	    n >>= 1;
-	}
-	factors[0].cnt = cnt;
-	factors[0].val = 2;
-	nfactors = 1;
-	nall     = cnt;
+        cnt = 1;
+        n >>= 1;
+        while ((n & 0x1) == 0) {
+            cnt++;
+            n >>= 1;
+        }
+        factors[0].cnt = cnt;
+        factors[0].val = 2;
+        nfactors = 1;
+        nall     = cnt;
     }
 
     /* An earlier version computed an approximation to the sqrt(n) to serve
-       as a stopping criteria.  However, tests showed that checking that the
-       square of the current prime is less than the remaining value (after
-       dividing out the primes found so far) is faster.
-    */
+     * as a stopping criteria.  However, tests showed that checking that the
+     * square of the current prime is less than the remaining value (after
+     * dividing out the primes found so far) is faster.
+     */
     i = 1;
     do {
         int n2;
         val = primes[i];
-	/* Note that we keep removing factors from n, so this test becomes
-	   easier and easier to satisfy as we remove factors from n
-	 */
-	if (val * val > n) break;
-	n2 = n / val;
-	if (n2*val == n) {
-	    cnt = 1;
-	    n = n2;
-	    n2 = n / val;
-	    while (n2*val == n) {
-		cnt++;
-		n = n2;
-		n2 = n / val;
-	    }
-	    /* Test on nfactors >= MAX_FACTORS?  */
-	    /* --BEGIN ERROR HANDLING-- */
-	    if (nfactors + 1 == MAX_FACTORS) {
-		/* Time to panic.  This should not happen, since the
-		   smallest number that could exceed this would
-		   be the product of the first 10 primes that are
-		   greater than one, which is 6,469,693,230 */
-		return nfactors;
-	    }
-	    /* --END ERROR HANDLING-- */
-	    factors[nfactors].val   = val;
-	    factors[nfactors++].cnt = cnt;
-	    nall += cnt;
-	    if (n == 1) break;
-	}
-	i++;
-	} while (1);
+        /* Note that we keep removing factors from n, so this test becomes
+         * easier and easier to satisfy as we remove factors from n
+         */
+        if (val * val > n) break;
+        n2 = n / val;
+        if (n2 * val == n) {
+            cnt = 1;
+            n = n2;
+            n2 = n / val;
+            while (n2 * val == n) {
+                cnt++;
+                n = n2;
+                n2 = n / val;
+            }
+            /* Test on nfactors >= MAX_FACTORS?  */
+            /* --BEGIN ERROR HANDLING-- */
+            if (nfactors + 1 == MAX_FACTORS) {
+                /* Time to panic.  This should not happen, since the
+                 * smallest number that could exceed this would
+                 * be the product of the first 10 primes that are
+                 * greater than one, which is 6,469,693,230 */
+                return nfactors;
+            }
+            /* --END ERROR HANDLING-- */
+            factors[nfactors].val   = val;
+            factors[nfactors++].cnt = cnt;
+            nall += cnt;
+            if (n == 1) break;
+        }
+        i++;
+    } while (1);
     if (n != 1) {
-	/* There was one factor > sqrt(n).  This factor must be prime.
-	   Note if nfactors was 0, n was prime */
-	factors[nfactors].val   = n;
-	factors[nfactors++].cnt = 1;
-	nall++;
+        /* There was one factor > sqrt(n).  This factor must be prime.
+         * Note if nfactors was 0, n was prime */
+        factors[nfactors].val   = n;
+        factors[nfactors++].cnt = 1;
+        nall++;
     }
     *nprimes = nall;
     return nfactors;
@@ -267,7 +273,7 @@ static int ndivisors_from_factor(int nf, const Factors *factors)
     int i, ndiv;
     ndiv = 1;
     for (i=0; i<nf; i++) {
-	ndiv *= (factors[i].cnt+1);
+        ndiv *= (factors[i].cnt + 1);
     }
     ndiv -= 2;
 
@@ -282,89 +288,88 @@ static int factor_to_divisors(int nf, Factors *factors, int ndiv, int divs[])
 
     MPIR_T_PVAR_TIMER_START(DIMS, dims_getdivs);
     for (i=0; i<nf; i++) {
-	powers[i]  = 0;
-	curbase[i] = 1;
+        powers[i]  = 0;
+        curbase[i] = 1;
     }
 
     for (nd = 0; nd < ndiv; nd++) {
-
-	/* Get the next power */
-	for (idx=0; idx<nf; idx++) {
-	    powers[idx]++;
-	    if (powers[idx] > factors[idx].cnt) {
-		powers[idx]  = 0;
-		curbase[idx] = 1;
-	    }
-	    else {
-		curbase[idx] *= factors[idx].val;
-		break;
-	    }
-	}
-	/* Compute the divisor.  Note that we could keep the scan of values
-	   from k to nf-1, then curscan[0] would always be the next value */
-	val = 1;
-	for (idx=0; idx<nf; idx++) val *= curbase[idx];
-	divs[nd] = val;
+        /* Get the next power */
+        for (idx=0; idx<nf; idx++) {
+            powers[idx]++;
+            if (powers[idx] > factors[idx].cnt) {
+                powers[idx]  = 0;
+                curbase[idx] = 1;
+            }
+            else {
+                curbase[idx] *= factors[idx].val;
+                break;
+            }
+        }
+        /* Compute the divisor.  Note that we could keep the scan of values
+         * from k to nf-1, then curscan[0] would always be the next value */
+        val = 1;
+        for (idx=0; idx<nf; idx++) val *= curbase[idx];
+        divs[nd] = val;
     }
     MPIR_T_PVAR_TIMER_END(DIMS, dims_getdivs);
 
     /* Values are not sorted - for example, 2(2),3 will give 2,4,3 as the
-       divisors */
+     * divisors */
     /* This code is used because it is significantly faster than using
-       the qsort routine.  In tests of several million dims_create
-       calls, this code took 1.02 seconds (with -O3) and 1.79 seconds
-       (without optimization) while qsort took 2.5 seconds.
+     * the qsort routine.  In tests of several million dims_create
+     * calls, this code took 1.02 seconds (with -O3) and 1.79 seconds
+     * (without optimization) while qsort took 2.5 seconds.
     */
     if (nf > 1) {
-	int gap, j, j1, j2, k, j1max, j2max;
+        int gap, j, j1, j2, k, j1max, j2max;
         MPIR_CHKLMEM_DECL(1);
         int *divs2;
-	int *restrict d1, *restrict d2;
+        int *restrict d1, *restrict d2;
 
-        MPIR_CHKLMEM_MALLOC(divs2,int *,nd*sizeof(int),mpi_errno,"divs2");
+        MPIR_CHKLMEM_MALLOC(divs2, int *, nd*sizeof(int), mpi_errno, "divs2");
 
         MPIR_T_PVAR_TIMER_START(DIMS, dims_sort);
-	/* handling the first set of pairs separately saved about 20%;
-	   done inplace */
-	for (j=0; j<nd-1; j+=2) {
-	    if (divs[j] > divs[j+1]) {
-		int tmp = divs[j]; divs[j] = divs[j+1]; divs[j+1]=tmp;
-	    }
-	}
-	/* Using pointers d1 and d2 about 2x copying divs2 back into divs
-	   at the end of each phase */
-	d1 = divs;
-	d2 = divs2;
-	for (gap=2; gap < nd; gap *=2) {
-	    k = 0;
-	    for (j=0; j+gap<nd; j+= gap*2) {
-		j1 = j;
-		j2 = j+gap;
-		j1max = j2;
-		j2max = j2 + gap;
-		if (j2max > nd) j2max = nd;
-		while (j1 < j1max && j2 < j2max) {
-		    if (d1[j1] < d1[j2]) {
-			d2[k++] = d1[j1++];
-		    }
-		    else {
-			d2[k++] = d1[j2++];
-		    }
-		}
-		/* Copy remainder */
-		while (j1 < j1max) d2[k++] = d1[j1++];
-		while (j2 < j2max) d2[k++] = d1[j2++];
-	    }
-	    /* May be some left over */
-	    while (j < nd) d2[k++] = d1[j++];
-	    /* swap pointers and start again */
-	    { int *dt = d1; d1 = d2; d2 = dt; }
-	}
+        /* handling the first set of pairs separately saved about 20%;
+         * done inplace */
+        for (j=0; j<nd-1; j+=2) {
+            if (divs[j] > divs[j+1]) {
+                int tmp = divs[j]; divs[j] = divs[j+1]; divs[j+1]=tmp;
+            }
+        }
+        /* Using pointers d1 and d2 about 2x copying divs2 back into divs
+         * at the end of each phase */
+        d1 = divs;
+        d2 = divs2;
+        for (gap=2; gap < nd; gap *= 2) {
+            k = 0;
+            for (j=0; j+gap<nd; j+= gap*2) {
+                j1 = j;
+                j2 = j + gap;
+                j1max = j2;
+                j2max = j2 + gap;
+                if (j2max > nd) j2max = nd;
+                while (j1 < j1max && j2 < j2max) {
+                    if (d1[j1] < d1[j2]) {
+                        d2[k++] = d1[j1++];
+                    }
+                    else {
+                        d2[k++] = d1[j2++];
+                    }
+                }
+                /* Copy remainder */
+                while (j1 < j1max) d2[k++] = d1[j1++];
+                while (j2 < j2max) d2[k++] = d1[j2++];
+            }
+            /* May be some left over */
+            while (j < nd) d2[k++] = d1[j++];
+            /* swap pointers and start again */
+            { int *dt = d1; d1 = d2; d2 = dt; }
+        }
         MPIR_T_PVAR_TIMER_END(DIMS, dims_sort);
-	/* Result must end up in divs */
-	if (d1 != divs) {
-	    for (j1=0; j1<nd; j1++) divs[j1] = d1[j1];
-	}
+        /* Result must end up in divs */
+        if (d1 != divs) {
+            for (j1=0; j1<nd; j1++) divs[j1] = d1[j1];
+        }
         MPIR_CHKLMEM_FREEALL();
     }
     return nd;
@@ -405,7 +410,7 @@ static void factor_to_dims_by_rr(int nf, Factors f[], int nd, int dims[])
             else {
                 int kk;
                 /* find first location where apply val is valid.
-                   Can always apply at dims[0] */
+                 * Can always apply at dims[0] */
                 for (kk=nd-1; kk>0; kk--) {
                     if (dims[kk]*val <= dims[kk-1]) break;
                 }
@@ -431,14 +436,14 @@ static int optbalance(int n, int idx, int nd, int ndivs, const int divs[],
 
     MPIR_T_PVAR_COUNTER_INC(DIMS, dims_optbalcalls, 1);
     if (MPIR_CVAR_DIMS_VERBOSE){
-	MPL_msg_printf("Noptb: idx=%d, nd=%d, ndivs=%d, balance=%d\n",
+        MPL_msg_printf("Noptb: idx=%d, nd=%d, ndivs=%d, balance=%d\n",
                        idx, nd, ndivs, curbal);
-	MPL_msg_printf("Noptb:optdims: ");
-	for (i=0; i<nd; i++)
-	    MPL_msg_printf("%d%c", optdims[i], (i+1<nd) ? 'x' : '\n');
-	MPL_msg_printf("Noptb:trydims: ");
-	for (i=idx+1; i<nd; i++)
-	    MPL_msg_printf("%d%c", trydims[i], (i+1<nd) ? 'x' : '\n');
+        MPL_msg_printf("Noptb:optdims: ");
+        for (i=0; i<nd; i++)
+            MPL_msg_printf("%d%c", optdims[i], (i+1<nd) ? 'x' : '\n');
+        MPL_msg_printf("Noptb:trydims: ");
+        for (i=idx+1; i<nd; i++)
+            MPL_msg_printf("%d%c", trydims[i], (i+1<nd) ? 'x' : '\n');
     }
     if (idx > 1) {
         MPIR_CHKLMEM_DECL(1);
@@ -446,135 +451,135 @@ static int optbalance(int n, int idx, int nd, int ndivs, const int divs[],
         MPIR_CHKLMEM_MALLOC(newdivs,int*,ndivs*sizeof(int),mpi_errno,"divs");
         if (mpi_errno) return mpi_errno;
 
-	/* At least 3 divisors to set (0...idx).  We try all choices
-	   recursively, but stop looking when we can easily tell that
-	   no additional cases can improve the current solution. */
-	for (k=0; k<ndivs; k++) {
-	    f = divs[k];
-	    if (MPIR_CVAR_DIMS_VERBOSE) {
+        /* At least 3 divisors to set (0...idx).  We try all choices
+         * recursively, but stop looking when we can easily tell that
+         * no additional cases can improve the current solution. */
+        for (k=0; k<ndivs; k++) {
+            f = divs[k];
+            if (MPIR_CVAR_DIMS_VERBOSE) {
                 MPL_msg_printf("Noptb: try f=%d at dims[%d]\n", f, idx);
             }
-	    if (idx < nd-1 && f-min > curbal) {
-		if (MPIR_CVAR_DIMS_VERBOSE){
-                    MPL_msg_printf("f-min = %d, curbal = %d, skipping other divisors\n",
-                                   f-min, curbal);
+            if (idx < nd-1 && f-min > curbal) {
+                if (MPIR_CVAR_DIMS_VERBOSE){
+                  MPL_msg_printf("f-min = %d, curbal = %d, skipping other divisors\n",
+                                   f - min, curbal);
                 }
                 MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
-		break; /* best case is all divisors at least
-			  f, so the best balance is at least
-			  f - min */
-	    }
-	    q = n / f;
-	    /* check whether f is a divisor of what's left.  If so,
-	       remember it as the smallest new divisor */
-	    /* sf is the smallest remaining factor; we use this in an
-	       optimization for possible divisors */
-	    nndivs = 0;
-	    if (q % f == 0) {
-		newdivs[nndivs++] = f;
-		sf                = f;
-	    }
-	    else {
-		sf = divs[k+1];
-	    }
-	    if (idx < nd-1 && sf - min > curbal) {
+                break; /* best case is all divisors at least
+                        * f, so the best balance is at least
+                        * f - min */
+            }
+            q = n / f;
+            /* check whether f is a divisor of what's left.  If so,
+             * remember it as the smallest new divisor */
+            /* sf is the smallest remaining factor; we use this in an
+             * optimization for possible divisors */
+            nndivs = 0;
+            if (q % f == 0) {
+                newdivs[nndivs++] = f;
+                sf                = f;
+            }
+            else {
+                sf = divs[k + 1];
+            }
+            if (idx < nd-1 && sf - min > curbal) {
                 MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
                 break;
             }
-	    if (MPIR_CVAR_DIMS_VERBOSE) {
+            if (MPIR_CVAR_DIMS_VERBOSE) {
                 MPL_msg_printf("Noptb: sf = %d\n", sf);
             }
-	    ff = sf*sf;                /* At least 2 more divisors */
-	    for (ii=idx-1; ii>0 && ff <= q; ii--) ff *= sf;
-	    if (ii > 0) {
-		if (MPIR_CVAR_DIMS_VERBOSE) {
+            ff = sf*sf;                /* At least 2 more divisors */
+            for (ii=idx-1; ii>0 && ff <= q; ii--) ff *= sf;
+            if (ii > 0) {
+                if (MPIR_CVAR_DIMS_VERBOSE) {
                     MPL_msg_printf("break for ii = %d, ff = %d and q = %d\n",
                                    ii, ff, q);
                 }
                 MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
-		break;        /* remaining divisors >= sf, and
-				 product must be <= q */
-	    }
+                break;        /* remaining divisors >= sf, and
+                               * product must be <= q */
+            }
 
-	    /* Try f as the divisor at the idx location */
-	    trydims[idx] = f;
+            /* Try f as the divisor at the idx location */
+            trydims[idx] = f;
             MPIR_T_PVAR_TIMER_START(DIMS, dims_div);
-	    /* find the subset of divisors of n that are divisors of q
-	       and larger than f but such that f*f <= q */
-	    for (kk=k+1; kk<ndivs; kk++) {
-		f = divs[kk];
-		ff = f*f;
-		if (ff > q) {
+            /* find the subset of divisors of n that are divisors of q
+             * and larger than f but such that f*f <= q */
+            for (kk=k+1; kk<ndivs; kk++) {
+                f = divs[kk];
+                ff = f*f;
+                if (ff > q) {
                     MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
                     break;
                 }
                 MPIR_T_PVAR_COUNTER_INC(DIMS, dims_ndivmade, 1);
-		if ((q % f) == 0) {
-		    newdivs[nndivs++] = f;
-		}
-		/* sf * f <= q, break otherwise */
-	    }
+                if ((q % f) == 0) {
+                    newdivs[nndivs++] = f;
+                }
+                /* sf * f <= q, break otherwise */
+            }
             MPIR_T_PVAR_TIMER_END(DIMS, dims_div);
-	    /* recursively try to find the best subset */
-	    if (nndivs > 0)
-		optbalance(q, idx-1, nd, nndivs, newdivs, trydims,
+            /* recursively try to find the best subset */
+            if (nndivs > 0)
+                optbalance(q, idx - 1, nd, nndivs, newdivs, trydims,
                            curbal_p, optdims);
-	}
+        }
         MPIR_CHKLMEM_FREEALL();
     }
     else if (idx == 1) {
-	/* Only two.  Find the pair such that q,f has min value for q-min, i.e.,
-	   the smallest q such that q > f.  Note that f*f < n if q > f and
-	   q*f = n*/
-	/* Valid choices for f, q >= divs[0] */
-	int qprev = -1;
-	for (k=1; k<ndivs; k++) {
-	    f = divs[k];
-	    q = n / f;
-	    if (q < f) break;
-	    qprev = q;
-	}
-	f = divs[k-1];
-	if (qprev > 0) q = qprev;
-	else           q = n / f;
-
-	if (q < f) {
-	    if (MPIR_CVAR_DIMS_VERBOSE) {
+        /* Only two.  Find the pair such that q,f has min value for q-min, i.e.,
+         * the smallest q such that q > f.  Note that f*f < n if q > f and
+         * q*f = n */
+        /* Valid choices for f, q >= divs[0] */
+        int qprev = -1;
+        for (k=1; k<ndivs; k++) {
+            f = divs[k];
+            q = n / f;
+            if (q < f) break;
+            qprev = q;
+        }
+        f = divs[k-1];
+        if (qprev > 0) q = qprev;
+        else           q = n / f;
+
+        if (q < f) {
+            if (MPIR_CVAR_DIMS_VERBOSE) {
                 MPL_msg_printf("Skipping because %d < %d\n", q, f);
             }
-	    /* No valid solution.  Exit without changing current optdims */
+            /* No valid solution.  Exit without changing current optdims */
             MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
-	    return 0;
-	}
-	if (MPIR_CVAR_DIMS_VERBOSE) {
+            return 0;
+        }
+        if (MPIR_CVAR_DIMS_VERBOSE) {
             MPL_msg_printf("Found best factors %d,%d, from divs[%d]\n",
-                           q,f,k-1);
+                           q, f, k-1);
         }
-	/* If nd is 2 (and not greater), we will be replacing all values
-	   in dims.  In that case, testbal is q-f;
-	 */
-	if (nd == 2) testbal = q - f;
-	else  testbal = q - min;
+        /* If nd is 2 (and not greater), we will be replacing all values
+         * in dims.  In that case, testbal is q-f;
+         */
+        if (nd == 2) testbal = q - f;
+        else  testbal = q - min;
 
         /* Take the new value if it is at least as good as the
-           current choice.  This is what Jesper Traeff's version does
-           (see the code he provided for his EuroMPI'15 paper) */
-	if (testbal <= curbal) {
-	    for (i=2; i<nd; i++) optdims[i] = trydims[i];
-	    optdims[0] = q;
-	    optdims[1] = f;
-	    /* Use the balance for the range of dims, not the total
-	       balance */
-	    *curbal_p = q - min;
-	}
+         * current choice.  This is what Jesper Traeff's version does
+         * (see the code he provided for his EuroMPI'15 paper) */
+        if (testbal <= curbal) {
+            for (i=2; i<nd; i++) optdims[i] = trydims[i];
+            optdims[0] = q;
+            optdims[1] = f;
+            /* Use the balance for the range of dims, not the total
+             * balance */
+            *curbal_p = q - min;
+        }
     }
     else {
-	/* idx == 0.  Only one choice for divisor */
-	if (n-min <= curbal) {
-	    for (i=1; i<nd; i++) optdims[i] = trydims[i];
-	    optdims[0] = n;
-	    *curbal_p = n - min;
-	}
+        /* idx == 0.  Only one choice for divisor */
+        if (n-min <= curbal) {
+            for (i=1; i<nd; i++) optdims[i] = trydims[i];
+            optdims[0] = n;
+            *curbal_p = n - min;
+        }
     }
     return 0;
 fn_fail:
@@ -600,61 +605,63 @@ PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[])
     MPIR_CHKLMEM_DECL(1);
 
     /* Find the number of unspecified dimensions in dims and the product
-       of the positive values in dims */
+     * of the positive values in dims */
     dims_needed  = 0;
     dims_product = 1;
     for (i=0; i<ndims; i++) {
-	if (dims[i] < 0) {
-	    mpi_errno = MPIR_Err_create_code( MPI_SUCCESS, 
-					      MPIR_ERR_RECOVERABLE,
-					      "MPIR_Dims_create", __LINE__,
-					      MPI_ERR_DIMS, 
-			     "**argarrayneg", 
-			     "**argarrayneg %s %d %d", "dims", i, dims[i]);
-	    return mpi_errno;
-	}
-	if (dims[i] == 0) dims_needed ++;
-	else dims_product *= dims[i];
+        if (dims[i] < 0) {
+            mpi_errno = MPIR_Err_create_code(MPI_SUCCESS,
+                                              MPIR_ERR_RECOVERABLE,
+                                              "MPIR_Dims_create", __LINE__,
+                                              MPI_ERR_DIMS,
+                                              "**argarrayneg",
+                                              "**argarrayneg %s %d %d",
+                                              "dims", i, dims[i]);
+            return mpi_errno;
+        }
+        if (dims[i] == 0) dims_needed ++;
+        else dims_product *= dims[i];
     }
 
     /* Can we factor nnodes by dims_product? */
-    if ((nnodes / dims_product ) * dims_product != nnodes ) {
-	mpi_errno = MPIR_Err_create_code( MPI_SUCCESS, MPIR_ERR_RECOVERABLE,
-					  "MPIR_Dims_create", __LINE__,
-					  MPI_ERR_DIMS, "**dimspartition", 0);
-	return mpi_errno;
+    if ((nnodes / dims_product) * dims_product != nnodes) {
+        mpi_errno = MPIR_Err_create_code(MPI_SUCCESS, MPIR_ERR_RECOVERABLE,
+                                          "MPIR_Dims_create", __LINE__,
+                                          MPI_ERR_DIMS, "**dimspartition", 0);
+        return mpi_errno;
     }
 
     if (!dims_needed) {
-	/* Special case - all dimensions provided */
-	return MPI_SUCCESS;
+        /* Special case - all dimensions provided */
+        return MPI_SUCCESS;
     }
-    
+
     if (dims_needed > MAX_DIMS) {
-	/* --BEGIN ERROR HANDLING-- */
-	mpi_errno = MPIR_Err_create_code( MPI_SUCCESS, 
-		  MPIR_ERR_RECOVERABLE,
-		  "MPIR_Dims_create", __LINE__,  MPI_ERR_DIMS, 
-		  "**dimsmany", "**dimsmany %d %d", dims_needed, MAX_DIMS );
-	return mpi_errno;
-	/* --END ERROR HANDLING-- */
+/* --BEGIN ERROR HANDLING-- */
+        mpi_errno = MPIR_Err_create_code(MPI_SUCCESS,
+                                 MPIR_ERR_RECOVERABLE,
+                                 "MPIR_Dims_create", __LINE__,  MPI_ERR_DIMS,
+                                 "**dimsmany", "**dimsmany %d %d",
+                                 dims_needed, MAX_DIMS);
+        return mpi_errno;
+/* --END ERROR HANDLING-- */
     }
 
     nnodes /= dims_product;
 
     /* Factor the remaining nodes into dims_needed components.  The
-       MPI standard says that these should be as balanced as possible;
-       in particular, unfortunately, not necessarily arranged in a way
-       that makes sense for the underlying machine topology.  The approach
-       used here was inspired by "Specification Guideline Violations
-       by MPI_Dims_create," by Jesper Traeff and Felix Luebbe, EuroMPI'15.
-       Among the changes are the use of a table of primes to speed up the
-       process of finding factors, and some effort to reduce the number
-       of integer division operations.
-
-       Values are put into chosen[0..dims_needed].  These values are then
-       copied back into dims into the "empty" slots (values == 0).
-    */
+     * MPI standard says that these should be as balanced as possible;
+     * in particular, unfortunately, not necessarily arranged in a way
+     * that makes sense for the underlying machine topology.  The approach
+     * used here was inspired by "Specification Guideline Violations
+     * by MPI_Dims_create," by Jesper Traeff and Felix Luebbe, EuroMPI'15.
+     * Among the changes are the use of a table of primes to speed up the
+     * process of finding factors, and some effort to reduce the number
+     * of integer division operations.
+     *
+     * Values are put into chosen[0..dims_needed].  These values are then
+     * copied back into dims into the "empty" slots (values == 0).
+     */
 
     if (dims_needed == 1) {
         /* Simply put the correct value in place */
@@ -676,7 +683,7 @@ PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[])
 
     /* Remove primes > sqrt(n) */
     nextidx = 0;
-    for (j=nf-1; j>0 && nextidx < dims_needed-1; j--) {
+    for (j=nf-1; j>0 && nextidx < dims_needed - 1; j--) {
         val = f[j].val;
         if (f[j].cnt == 1 && val*val > nnodes) {
             if (MPIR_CVAR_DIMS_VERBOSE) {
@@ -691,14 +698,14 @@ PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[])
     }
 
     /* Now, handle some special cases.  If we find *any* of these,
-       we're done and can use the values in chosen to return values in dims */
+     * we're done and can use the values in chosen to return values in dims */
     foundDecomp = 0;
     if (nprimes + nextidx <= dims_needed) {
         /* Fill with the primes */
         int m, cnt;
         if (MPIR_CVAR_DIMS_VERBOSE) {
             MPL_msg_printf("Nprimes = %d, number dims left = %d\n", nprimes,
-                           dims_needed-nextidx);
+                           dims_needed - nextidx);
         }
         i = nextidx + nprimes;
         for (k=0; k<nf; k++) {
@@ -716,7 +723,7 @@ PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[])
     }
     else if (nf == 1) {
         /* What's left is a product of a single prime, so there is only one
-           possible factorization */
+         * possible factorization */
         int cnt = f[0].cnt;
         val = f[0].val;
         if (MPIR_CVAR_DIMS_VERBOSE) {
@@ -731,10 +738,10 @@ PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[])
         foundDecomp = 1;
     }
     /* There's another case we consider, particularly since we've
-       factored out the "large" primes.  If (cnt % (ndims-nextidx)) == 0
-       for every remaining factor, then
-       f = product of (val^ (cnt/(ndims-nextidx)))
-    */
+     * factored out the "large" primes.  If (cnt % (ndims-nextidx)) == 0
+     * for every remaining factor, then
+     * f = product of (val^ (cnt/(ndims-nextidx)))
+     */
     if (!foundDecomp) {
         int ndleft = dims_needed - nextidx;
         for (j=0; j<nf; j++) if (f[j].cnt % ndleft != 0) break;
@@ -767,44 +774,46 @@ PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[])
     /* ndims >= 2 */
 
     /* No trivial solution.  Balance the remaining values (note that we may
-       have already trimmed off some large factors */
+     * have already trimmed off some large factors */
     /* First, find all of the divisors given by the remaining factors */
     ndivs = ndivisors_from_factor(nf, (const Factors *)f);
-    MPIR_CHKLMEM_MALLOC(divs,int*,(ndivs)*sizeof(int),mpi_errno,"divs");
+    MPIR_CHKLMEM_MALLOC(divs, int*, (ndivs)*sizeof(int), mpi_errno, "divs");
     ndivs = factor_to_divisors(nf, f, ndivs, divs);
-    if (MPIR_CVAR_DIMS_VERBOSE){
-        for (i=0;i<ndivs;i++) {
-            if (divs[i] <= 0) { MPL_msg_printf("divs[%d]=%d!\n", i, divs[i]);}
+    if (MPIR_CVAR_DIMS_VERBOSE) {
+        for (i=0; i<ndivs; i++) {
+            if (divs[i] <= 0) {
+                MPL_msg_printf("divs[%d]=%d!\n", i, divs[i]);
+            }
         }
     }
 
     /* Create a simple first guess.  We do this by using a round robin
-       distribution of the primes in the remaining values (from nextidx
-       to ndims) */
+     * distribution of the primes in the remaining values (from nextidx
+     * to ndims) */
     MPIR_T_PVAR_TIMER_START(DIMS, dims_basefact);
     factor_to_dims_by_rr(nf, f, dims_needed - nextidx, chosen + nextidx);
     MPIR_T_PVAR_TIMER_END(DIMS, dims_basefact);
 
     /* This isn't quite right, as the balance may depend on the other (larger)
-       divisors already chosen */
+     * divisors already chosen */
     /* Need to add nextidx */
-    curbal = chosen[0] - chosen[dims_needed-1];
-    trydims[dims_needed-nextidx-1] = divs[0];
+    curbal = chosen[0] - chosen[dims_needed - 1];
+    trydims[dims_needed - nextidx - 1] = divs[0];
     if (MPIR_CVAR_DIMS_VERBOSE) {
         MPL_msg_printf("N: initial decomp is: ");
         for (i=0; i<dims_needed; i++)
-            MPL_msg_printf("%d%c", chosen[i], (i+1<dims_needed) ? 'x' : '\n');
+            MPL_msg_printf("%d%c", chosen[i], (i+1 < dims_needed) ? 'x' : '\n');
     }
     MPIR_T_PVAR_TIMER_START(DIMS, dims_bal);
-    optbalance(nnodes, dims_needed-nextidx-1, dims_needed-nextidx,
-                    ndivs, divs, trydims, &curbal, chosen+nextidx);
+    optbalance(nnodes, dims_needed - nextidx - 1, dims_needed - nextidx,
+               ndivs, divs, trydims, &curbal, chosen+nextidx);
     MPIR_T_PVAR_TIMER_END(DIMS, dims_bal);
     MPIR_CHKLMEM_FREEALL();
 
-    if (MPIR_CVAR_DIMS_VERBOSE){
+    if (MPIR_CVAR_DIMS_VERBOSE) {
         MPL_msg_printf("N: final decomp is: ");
         for (i=0; i<dims_needed; i++)
-            MPL_msg_printf("%d%c", chosen[i], (i+1<dims_needed) ? 'x' : '\n');
+            MPL_msg_printf("%d%c", chosen[i], (i+1 < dims_needed) ? 'x' : '\n');
     }
 
     j = 0;
@@ -835,11 +844,11 @@ extern volatile int MPIR_DIMS_initPCVars;
     MPI_Dims_create - Creates a division of processors in a cartesian grid
 
 Input Parameters:
-+ nnodes - number of nodes in a grid (integer) 
-- ndims - number of cartesian dimensions (integer) 
++ nnodes - number of nodes in a grid (integer)
+- ndims - number of cartesian dimensions (integer)
 
 Input/Output Parameters:
-. dims - integer array of size  'ndims' specifying the number of nodes in each 
+. dims - integer array of size  'ndims' specifying the number of nodes in each
  dimension.  A value of 0 indicates that 'MPI_Dims_create' should fill in a
  suitable value.
 
@@ -856,23 +865,22 @@ int MPI_Dims_create(int nnodes, int ndims, int dims[])
     MPIR_FUNC_TERSE_STATE_DECL(MPID_STATE_MPI_DIMS_CREATE);
 
     MPIR_ERRTEST_INITIALIZED_ORDIE();
-    
     MPIR_FUNC_TERSE_ENTER(MPID_STATE_MPI_DIMS_CREATE);
 
     if (ndims == 0) goto fn_exit;
-    
+
     /* Validate parameters and objects (post conversion) */
-#   ifdef HAVE_ERROR_CHECKING
+#ifdef HAVE_ERROR_CHECKING
     {
         MPID_BEGIN_ERROR_CHECKS;
         {
-	    MPIR_ERRTEST_ARGNEG(nnodes,"nnodes",mpi_errno);
-	    MPIR_ERRTEST_ARGNEG(ndims,"ndims",mpi_errno);
-	    MPIR_ERRTEST_ARGNULL(dims,"dims",mpi_errno);
+            MPIR_ERRTEST_ARGNEG(nnodes, "nnodes", mpi_errno);
+            MPIR_ERRTEST_ARGNEG(ndims, "ndims", mpi_errno);
+            MPIR_ERRTEST_ARGNULL(dims, "dims", mpi_errno);
         }
         MPID_END_ERROR_CHECKS;
     }
-#   endif /* HAVE_ERROR_CHECKING */
+#endif /* HAVE_ERROR_CHECKING */
 
     /* Initialize pvars and cvars if this is the first call */
     if (MPIR_DIMS_initPCVars) {
@@ -882,10 +890,10 @@ int MPI_Dims_create(int nnodes, int ndims, int dims[])
 
     /* ... body of routine ...  */
     if (MPIR_Process.dimsCreate != NULL) {
-	mpi_errno = MPIR_Process.dimsCreate( nnodes, ndims, dims );
+        mpi_errno = MPIR_Process.dimsCreate(nnodes, ndims, dims);
     }
     else {
-	mpi_errno = MPIR_Dims_create_impl( nnodes, ndims, dims );
+        mpi_errno = MPIR_Dims_create_impl(nnodes, ndims, dims);
     }
     if (mpi_errno) MPIR_ERR_POP(mpi_errno);
     /* ... end of body of routine ... */
@@ -896,15 +904,15 @@ int MPI_Dims_create(int nnodes, int ndims, int dims[])
 
     /* --BEGIN ERROR HANDLING-- */
   fn_fail:
-#   ifdef HAVE_ERROR_CHECKING
+#ifdef HAVE_ERROR_CHECKING
     {
-	mpi_errno = MPIR_Err_create_code(
-	    mpi_errno, MPIR_ERR_RECOVERABLE, FCNAME, __LINE__, MPI_ERR_OTHER, 
-	    "**mpi_dims_create",
-	    "**mpi_dims_create %d %d %p", nnodes, ndims, dims);
+        mpi_errno = MPIR_Err_create_code(
+            mpi_errno, MPIR_ERR_RECOVERABLE, FCNAME, __LINE__, MPI_ERR_OTHER,
+            "**mpi_dims_create",
+            "**mpi_dims_create %d %d %p", nnodes, ndims, dims);
     }
-#   endif
-    mpi_errno = MPIR_Err_return_comm( NULL, FCNAME, mpi_errno );
+#endif
+    mpi_errno = MPIR_Err_return_comm(NULL, FCNAME, mpi_errno);
     goto fn_exit;
     /* --END ERROR HANDLING-- */
 }

http://git.mpich.org/mpich.git/commitdiff/547447b67a9dc6cdabbc42baae68e5355be1222b

commit 547447b67a9dc6cdabbc42baae68e5355be1222b
Author: Ken Raffenetti <raffenet at mcs.anl.gov>
Date:   Fri Jul 8 13:31:26 2016 -0500

    Fixes #2251 for MPI_Dims_create
    
    Also adds CVAR/PVAR support.
    
    Signed-off-by: Ken Raffenetti <raffenet at mcs.anl.gov>

diff --git a/configure.ac b/configure.ac
index 637b0cc..2a3f25e 100644
--- a/configure.ac
+++ b/configure.ac
@@ -1775,10 +1775,13 @@ for var in $enable_mpit_pvars ; do
             [nem],[enable_pvar_nem=yes],
             [recvq],[enable_pvar_recvq=yes],
             [rma],[enable_pvar_rma=yes],
+	    [dims],[enable_pvar_dims=yes],
             [all|yes],
             [enable_pvar_nem=yes
              enable_pvar_recvq=yes
-             enable_pvar_rma=yes],
+             enable_pvar_rma=yes
+	     enable_pvar_dims=yes
+	     ],
             [no|none],[],
             [IFS=$save_IFS
              AC_MSG_WARN([Unknown value ($option) for enable-mpit-pvars])
@@ -1809,6 +1812,14 @@ else
 fi
 AC_DEFINE_UNQUOTED(ENABLE_PVAR_RMA,$status_rma_pvars,
           [Define to 1 to enable rma-related MPI_T performance variables])
+
+if test -n "$enable_pvar_dims" ; then
+    status_dims_pvars=1
+else
+    status_dims_pvars=0
+fi
+AC_DEFINE_UNQUOTED(ENABLE_PVAR_DIMS,$status_dims_pvars,
+          [Define to 1 to enable getdims-related MPI_T performance variables])
 # ---------------------------------------------------------------------------
 # Support for the language bindings: Fortran 77, Fortran 90, and C++
 #
diff --git a/src/mpi/topo/dims_create.c b/src/mpi/topo/dims_create.c
index 4b6e1e5..a286576 100644
--- a/src/mpi/topo/dims_create.c
+++ b/src/mpi/topo/dims_create.c
@@ -6,6 +6,35 @@
 
 #include "mpiimpl.h"
 
+/*
+ * This CVAR is used for debugging support.  An alternative would be
+ * to use the MPIU_DBG interface, which predates the CVAR interface,
+ * and also provides different levels of debugging support.  In the
+ * long run, the MPIU_DBG interface should be updated to make use of
+ * CVARs.
+ */
+/*
+=== BEGIN_MPI_T_CVAR_INFO_BLOCK ===
+
+categories:
+    - name        : DIMS
+      description : Dims_create cvars
+
+cvars:
+    - name        : MPIR_CVAR_DIMS_VERBOSE
+      category    : DIMS
+      type        : boolean
+      default     : false
+      class       : none
+      verbosity   : MPI_T_VERBOSITY_MPIDEV_DETAIL
+      scope       : MPI_T_SCOPE_ALL_EQ
+      description : >-
+           If true, enable verbose output about the actions of the
+           implementation of MPI_Dims_create.
+
+=== END_MPI_T_CVAR_INFO_BLOCK ===
+*/
+
 /* -- Begin Profiling Symbol Block for routine MPI_Dims_create */
 #if defined(HAVE_PRAGMA_WEAK)
 #pragma weak MPI_Dims_create = PMPI_Dims_create
@@ -25,179 +54,551 @@ int MPI_Dims_create(int nnodes, int ndims, int dims[]) __attribute__((weak,alias
 /* 2^20 is a millon */
 #define MAX_DIMS    20
 
+typedef struct Factors { int val, cnt; } Factors;
+/* These routines may be global if we are not using weak symbols */
+PMPI_LOCAL int MPIR_Dims_create_init(void);
+PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[]);
+
+PMPI_LOCAL MPIR_T_pvar_timer_t PVAR_TIMER_dims_getdivs;
+PMPI_LOCAL MPIR_T_pvar_timer_t PVAR_TIMER_dims_sort;
+PMPI_LOCAL MPIR_T_pvar_timer_t PVAR_TIMER_dims_fact;
+PMPI_LOCAL MPIR_T_pvar_timer_t PVAR_TIMER_dims_basefact;
+PMPI_LOCAL MPIR_T_pvar_timer_t PVAR_TIMER_dims_getdivs;
+PMPI_LOCAL MPIR_T_pvar_timer_t PVAR_TIMER_dims_div;
+PMPI_LOCAL MPIR_T_pvar_timer_t PVAR_TIMER_dims_bal;
+
+PMPI_LOCAL unsigned long long PVAR_COUNTER_dims_npruned;
+PMPI_LOCAL unsigned long long PVAR_COUNTER_dims_ndivmade;
+PMPI_LOCAL unsigned long long PVAR_COUNTER_dims_optbalcalls;
+
 /* Define MPICH_MPI_FROM_PMPI if weak symbols are not supported to build
    the MPI routines.  You can use USE_WEAK_SYMBOLS to see if MPICH is
    using weak symbols to implement the MPI routines. */
-typedef struct Factors { int val, cnt; } Factors;
-/* This routine may be global if we are not using weak symbols */
-PMPI_LOCAL int MPIR_Factor( int, Factors [], int * );
-PMPI_LOCAL int MPIR_ChooseFactors( int, Factors [], int, int, int [] );
 
 #ifndef MPICH_MPI_FROM_PMPI
 #undef MPI_Dims_create
 #define MPI_Dims_create PMPI_Dims_create
 
+/* MPI_Dims_create and PMPI_Dims_create must see the same variable for this
+   one-time initialization flag.  If this file must be compiled twice,
+   this variable is defined here and as external for the other build. */
+volatile int MPIR_DIMS_initPCVars = 1;
+
+/* This routine is called once to define any PVARS and CVARS */
+PMPI_LOCAL int MPIR_Dims_create_init(void)
+{
+
+    MPIR_T_PVAR_TIMER_REGISTER_STATIC(DIMS,
+                                      MPI_DOUBLE,
+                                      dims_getdivs,
+                                      MPI_T_VERBOSITY_MPIDEV_DETAIL,
+                                      MPI_T_BIND_NO_OBJECT,
+                                      MPIR_T_PVAR_FLAG_READONLY,
+                                      "DIMS", "Time to find divisors (seconds)");
+    MPIR_T_PVAR_TIMER_REGISTER_STATIC(DIMS,
+                                      MPI_DOUBLE,
+                                      dims_sort,
+                                      MPI_T_VERBOSITY_MPIDEV_DETAIL,
+                                      MPI_T_BIND_NO_OBJECT,
+                                      MPIR_T_PVAR_FLAG_READONLY,
+                                      "DIMS", "Time to sort divisors (seconds)");
+    MPIR_T_PVAR_TIMER_REGISTER_STATIC(DIMS,
+                                      MPI_DOUBLE,
+                                      dims_fact,
+                                      MPI_T_VERBOSITY_MPIDEV_DETAIL,
+                                      MPI_T_BIND_NO_OBJECT,
+                                      MPIR_T_PVAR_FLAG_READONLY,
+                                      "DIMS", "Time to find factors (seconds)");
+    MPIR_T_PVAR_TIMER_REGISTER_STATIC(DIMS,
+                                      MPI_DOUBLE,
+                                      dims_basefact,
+                                      MPI_T_VERBOSITY_MPIDEV_DETAIL,
+                                      MPI_T_BIND_NO_OBJECT,
+                                      MPIR_T_PVAR_FLAG_READONLY,
+                                      "DIMS", "Time to ? (seconds)");
+    MPIR_T_PVAR_TIMER_REGISTER_STATIC(DIMS,
+                                      MPI_DOUBLE,
+                                      dims_div,
+                                      MPI_T_VERBOSITY_MPIDEV_DETAIL,
+                                      MPI_T_BIND_NO_OBJECT,
+                                      MPIR_T_PVAR_FLAG_READONLY,
+                                      "DIMS", "Time spent in integer division (seconds)");
+    MPIR_T_PVAR_TIMER_REGISTER_STATIC(DIMS,
+                                      MPI_DOUBLE,
+                                      dims_bal,
+                                      MPI_T_VERBOSITY_MPIDEV_DETAIL,
+                                      MPI_T_BIND_NO_OBJECT,
+                                      MPIR_T_PVAR_FLAG_READONLY,
+                                      "DIMS", "Time finding balanced decomposition (seconds)");
+
+    MPIR_T_PVAR_COUNTER_REGISTER_STATIC(
+        DIMS,
+        MPI_UNSIGNED_LONG_LONG,
+        dims_npruned,
+        MPI_T_VERBOSITY_MPIDEV_DETAIL,
+        MPI_T_BIND_NO_OBJECT,
+        (MPIR_T_PVAR_FLAG_READONLY | MPIR_T_PVAR_FLAG_CONTINUOUS),
+        "DIMS", /* category name */
+        "Number of divisors pruned from the search for a balanced decomposition");
+    MPIR_T_PVAR_COUNTER_REGISTER_STATIC(
+        DIMS,
+        MPI_UNSIGNED_LONG_LONG,
+        dims_ndivmade,
+        MPI_T_VERBOSITY_MPIDEV_DETAIL,
+        MPI_T_BIND_NO_OBJECT,
+        (MPIR_T_PVAR_FLAG_READONLY | MPIR_T_PVAR_FLAG_CONTINUOUS),
+        "DIMS", /* category name */
+        "Number of integer divisions performed");
+    MPIR_T_PVAR_COUNTER_REGISTER_STATIC(
+        DIMS,
+        MPI_UNSIGNED_LONG_LONG,
+        dims_optbalcalls,
+        MPI_T_VERBOSITY_MPIDEV_DETAIL,
+        MPI_T_BIND_NO_OBJECT,
+        (MPIR_T_PVAR_FLAG_READONLY | MPIR_T_PVAR_FLAG_CONTINUOUS),
+        "DIMS", /* category name */
+        "Number of call to optbalance");
+
+    return 0;
+}
+
+/* This includes all primes up to 46337 (sufficient for 2 billion ranks).
+   If storage is a concern (MPICH was originally organized so that only
+   code and data needed by applications would be loaded in order to keep
+   both the size of the executable and any shared library loads small),
+   this include could be organized include only primes up to 1000 (for
+   a maximum of a million ranks) or 3400 (for a maximum of 10 million ranks),
+   which will significantly reduce the number of elements included here.
+*/
 #include "primes.h"
 
-PMPI_LOCAL int MPIR_Factor( int n, Factors factors[], int *ndivisors )
+/* Local only routines.  These should *not* have standard prefix */
+static int factor_num(int, Factors [], int *);
+static int ndivisors_from_factor(int nf, const Factors *factors);
+static int factor_to_divisors(int nf, Factors *factors, int ndivs,
+                             int divs[]);
+static void factor_to_dims_by_rr(int nf, Factors f[], int nd, int dims[]);
+static int optbalance(int n, int idx, int nd, int ndivs,
+                      const int divs[], int trydims[], int *curbal_p,
+                      int optdims[]);
+
+/*
+ * Factor "n", returning the prime factors and their counts in factors, in
+ * increasing order.  Return the sum of the number of primes, including their
+ * powers (e.g., 2^3 * 7^5 * 19 gives 9 divisors, the maximum that can be created
+ * from this factorization)
+ */
+static int factor_num(int nn, Factors factors[], int *nprimes)
 {
-    int n_tmp, n_root;
+    int n=nn, val;
     int i, nfactors=0, nall=0;
     int cnt;
-    int NUM_PRIMES = sizeof(primes) / sizeof(int);
-
-    /* Start from an approximate of the square root of n, by first finding
-       the power of 2 at least as large as n.  The approximate root is then
-       2 to the 1/2 this power */
-    n_tmp  = n;
-    n_root = 0;
-    while (n_tmp) {
-	n_root ++;
-	n_tmp >>= 1;
-    }
-    n_root = 1 << (n_root / 2);
 
     /* Find the prime number that less than that value and try dividing
        out the primes.  */
-    for (i=0; i<NUM_PRIMES; i++) {
-	if (primes[i] > n_root) break;
-    }
 
-    /* For each prime, divide out as many as possible */
-    for (;i>=0;i--) {
-	cnt = 0;
-	while ( (n %  primes[i]) == 0) {
-	    cnt ++;
-	    n = n / primes[i];
+    /* First, get factors of 2 without division */
+    if ((n & 0x1) == 0) {
+	cnt = 1;
+	n >>= 1;
+	while ((n & 0x1) == 0) {
+	    cnt++;
+	    n >>= 1;
 	}
-	if (cnt > 0) {
+	factors[0].cnt = cnt;
+	factors[0].val = 2;
+	nfactors = 1;
+	nall     = cnt;
+    }
+
+    /* An earlier version computed an approximation to the sqrt(n) to serve
+       as a stopping criteria.  However, tests showed that checking that the
+       square of the current prime is less than the remaining value (after
+       dividing out the primes found so far) is faster.
+    */
+    i = 1;
+    do {
+        int n2;
+        val = primes[i];
+	/* Note that we keep removing factors from n, so this test becomes
+	   easier and easier to satisfy as we remove factors from n
+	 */
+	if (val * val > n) break;
+	n2 = n / val;
+	if (n2*val == n) {
+	    cnt = 1;
+	    n = n2;
+	    n2 = n / val;
+	    while (n2*val == n) {
+		cnt++;
+		n = n2;
+		n2 = n / val;
+	    }
+	    /* Test on nfactors >= MAX_FACTORS?  */
 	    /* --BEGIN ERROR HANDLING-- */
 	    if (nfactors + 1 == MAX_FACTORS) {
 		/* Time to panic.  This should not happen, since the
 		   smallest number that could exceed this would
 		   be the product of the first 10 primes that are
-		   greater than one, which is 6469693230 */
+		   greater than one, which is 6,469,693,230 */
 		return nfactors;
 	    }
 	    /* --END ERROR HANDLING-- */
-	    factors[nfactors].val = primes[i];
+	    factors[nfactors].val   = val;
 	    factors[nfactors++].cnt = cnt;
 	    nall += cnt;
+	    if (n == 1) break;
 	}
-    }
-    /* If nfactors == 0, n was a prime, so return that */
-    if (nfactors == 0) {
-	nfactors = 1;
-        nall = 1;
-        factors[0].val = n;
-        factors[0].cnt = 1;
-    }
-    else if (n > 1) {
-	/* We need one more factor (a single prime > n_root) */
+	i++;
+	} while (1);
+    if (n != 1) {
+	/* There was one factor > sqrt(n).  This factor must be prime.
+	   Note if nfactors was 0, n was prime */
 	factors[nfactors].val   = n;
 	factors[nfactors++].cnt = 1;
 	nall++;
     }
-    *ndivisors = nall;
+    *nprimes = nall;
     return nfactors;
 }
 
-/* 
-   Given a collection of factors from the factors routine and a number of
-   required values, combine the elements in factors into "needed" elements
-   of the array chosen.  These are non-increasing and so can be used directly
-   in setting values in the dims array in MPIR_Dims_create.
-
-   Algorithm (very simple)
-
-   target_size = nnodes / ndims needed.
-   Accumulate factors, starting from the bottom,
-   until the target size is met or exceeded.
-   Put all of the remaining factors into the last dimension
-   (recompute target_size with each step, since we may
-   miss the target by a wide margin.
-   
-   A much more sophisticated code would try to balance
-   the number of nodes assigned to each dimension, possibly
-   in concert with guidelines from the device about "good"
-   sizes
+static int ndivisors_from_factor(int nf, const Factors *factors)
+{
+    int i, ndiv;
+    ndiv = 1;
+    for (i=0; i<nf; i++) {
+	ndiv *= (factors[i].cnt+1);
+    }
+    ndiv -= 2;
+
+    return ndiv;
+}
 
- */
-/* FIXME: This routine does not work well with non-powers of two (and
-   probably with collections of different factors.  For example, 
-   factoring squares like 6*6 or 7*7 in to 2 dimensions doesn't yield the
-   expected results (18,2) and (49,1) in current tests */
-
-/* 
-   To give more reasonable values of the chosen factors (in the chosen array)
-   from the factors, we first distribute the factors among the dimensions
-   equally.
-
-   Note that since this is only used in the case where factors are the
-   factors of nnnodes, we don't need to use the value of nnodes.
- */
-PMPI_LOCAL int MPIR_ChooseFactors( int nfactors, Factors factors[], 
-				   int nnodes, int needed, int chosen[] )
+#undef FCNAME
+#define FCNAME "factor_to_divisors"
+static int factor_to_divisors(int nf, Factors *factors, int ndiv, int divs[])
 {
-    int i, j;
+    int i, powers[MAX_FACTORS], curbase[MAX_FACTORS], nd, idx, val, mpi_errno;
 
-    /* Initialize the chosen factors to all 1 */
-    for (i=0; i<needed; i++) {
-	chosen[i] = 1;
+    MPIR_T_PVAR_TIMER_START(DIMS, dims_getdivs);
+    for (i=0; i<nf; i++) {
+	powers[i]  = 0;
+	curbase[i] = 1;
     }
-    /* For each of the available factors, there are factors[].cnt 
-       copies of each of the unique factors.  These are assigned in
-       modified round robin fashion to each of the "chosen" entries.  
-       The modification is to combine with the smallest current term
-       Note that the factors are in decreasing order. */
-
-    i = 0;  /* We don't reset the count so that the factors are 
-	       distributed among the dimensions */
-    for (j=0; j<nfactors; j++) {
-	int cnt = factors[j].cnt;
-	int val = factors[j].val;
-	/* For each of the factors that we add, try to keep the 
-	   entries balanced. */
-	while (cnt--) {
-	    /* Find the smallest current entry */
-	    int ii, cMin, iMin;
-	    iMin = 0;
-	    cMin = chosen[0];
-	    for (ii=1; ii<needed; ii++) {
-		if (chosen[ii] < cMin) {
-		    cMin = chosen[ii];
-		    iMin = ii;
+
+    for (nd = 0; nd < ndiv; nd++) {
+
+	/* Get the next power */
+	for (idx=0; idx<nf; idx++) {
+	    powers[idx]++;
+	    if (powers[idx] > factors[idx].cnt) {
+		powers[idx]  = 0;
+		curbase[idx] = 1;
+	    }
+	    else {
+		curbase[idx] *= factors[idx].val;
+		break;
+	    }
+	}
+	/* Compute the divisor.  Note that we could keep the scan of values
+	   from k to nf-1, then curscan[0] would always be the next value */
+	val = 1;
+	for (idx=0; idx<nf; idx++) val *= curbase[idx];
+	divs[nd] = val;
+    }
+    MPIR_T_PVAR_TIMER_END(DIMS, dims_getdivs);
+
+    /* Values are not sorted - for example, 2(2),3 will give 2,4,3 as the
+       divisors */
+    /* This code is used because it is significantly faster than using
+       the qsort routine.  In tests of several million dims_create
+       calls, this code took 1.02 seconds (with -O3) and 1.79 seconds
+       (without optimization) while qsort took 2.5 seconds.
+    */
+    if (nf > 1) {
+	int gap, j, j1, j2, k, j1max, j2max;
+        MPIR_CHKLMEM_DECL(1);
+        int *divs2;
+	int *restrict d1, *restrict d2;
+
+        MPIR_CHKLMEM_MALLOC(divs2,int *,nd*sizeof(int),mpi_errno,"divs2");
+
+        MPIR_T_PVAR_TIMER_START(DIMS, dims_sort);
+	/* handling the first set of pairs separately saved about 20%;
+	   done inplace */
+	for (j=0; j<nd-1; j+=2) {
+	    if (divs[j] > divs[j+1]) {
+		int tmp = divs[j]; divs[j] = divs[j+1]; divs[j+1]=tmp;
+	    }
+	}
+	/* Using pointers d1 and d2 about 2x copying divs2 back into divs
+	   at the end of each phase */
+	d1 = divs;
+	d2 = divs2;
+	for (gap=2; gap < nd; gap *=2) {
+	    k = 0;
+	    for (j=0; j+gap<nd; j+= gap*2) {
+		j1 = j;
+		j2 = j+gap;
+		j1max = j2;
+		j2max = j2 + gap;
+		if (j2max > nd) j2max = nd;
+		while (j1 < j1max && j2 < j2max) {
+		    if (d1[j1] < d1[j2]) {
+			d2[k++] = d1[j1++];
+		    }
+		    else {
+			d2[k++] = d1[j2++];
+		    }
 		}
+		/* Copy remainder */
+		while (j1 < j1max) d2[k++] = d1[j1++];
+		while (j2 < j2max) d2[k++] = d1[j2++];
 	    }
-	    if (chosen[i] > iMin) i = iMin;
-
-	    chosen[i] *= val;
-	    i++;
-	    if (i >= needed) i = 0;
+	    /* May be some left over */
+	    while (j < nd) d2[k++] = d1[j++];
+	    /* swap pointers and start again */
+	    { int *dt = d1; d1 = d2; d2 = dt; }
 	}
+        MPIR_T_PVAR_TIMER_END(DIMS, dims_sort);
+	/* Result must end up in divs */
+	if (d1 != divs) {
+	    for (j1=0; j1<nd; j1++) divs[j1] = d1[j1];
+	}
+        MPIR_CHKLMEM_FREEALL();
+    }
+    return nd;
+fn_fail:
+    return mpi_errno;
+}
+
+
+/*
+ * This is a modified round robin assignment.  The goal is to
+ * get a good first guess at a good distribution.
+ *
+ * First, distribute factors to dims[0..nd-1].  The purpose is to get the
+ * initial factors set and to ensure that the smallest dimension is > 1.
+ * Second, distibute the remaining factors, starting with the largest, to
+ * the elements of dims with the smallest index i such that
+ *   dims[i-1] > dims[i]*val
+ * or to dims[0] if no i satisfies.
+ * For example, this will successfully distribute the factors of 100 in 3-d
+ * as 5,5,4.  A pure round robin would give 10,5,2.
+ */
+static void factor_to_dims_by_rr(int nf, Factors f[], int nd, int dims[])
+{
+    int i, j, k, cnt, val;
+
+    /* Initialize dims */
+    for (i=0; i<nd; i++) dims[i] = 1;
+
+    k = 0;
+    /* Start with the largest factors, move back to the smallest factor */
+    for (i=nf-1; i>=0; i--) {
+        val = f[i].val;
+        cnt = f[i].cnt;
+        for (j=0; j<cnt; j++) {
+            if (k < nd) {
+                dims[k++] = val;
+            }
+            else {
+                int kk;
+                /* find first location where apply val is valid.
+                   Can always apply at dims[0] */
+                for (kk=nd-1; kk>0; kk--) {
+                    if (dims[kk]*val <= dims[kk-1]) break;
+                }
+                dims[kk] *= val;
+            }
+        }
     }
+}
+
+
+/* need to set a minidx where it stops because the remaining
+   values are known.  Then pass in the entire array.  This is needed
+   to get the correct values for "ties" between the first and last values.
+ */
+#undef FC_NAME
+#define FC_NAME "optbalance"
+
+static int optbalance(int n, int idx, int nd, int ndivs, const int divs[],
+                           int trydims[], int *curbal_p, int optdims[])
+{
+    int min = trydims[nd-1], curbal = *curbal_p, testbal;
+    int k, f, q, ff, i, ii, kk, nndivs, sf, mpi_errno=MPI_SUCCESS;
+
+    MPIR_T_PVAR_COUNTER_INC(DIMS, dims_optbalcalls, 1);
+    if (MPIR_CVAR_DIMS_VERBOSE){
+	MPL_msg_printf("Noptb: idx=%d, nd=%d, ndivs=%d, balance=%d\n",
+                       idx, nd, ndivs, curbal);
+	MPL_msg_printf("Noptb:optdims: ");
+	for (i=0; i<nd; i++)
+	    MPL_msg_printf("%d%c", optdims[i], (i+1<nd) ? 'x' : '\n');
+	MPL_msg_printf("Noptb:trydims: ");
+	for (i=idx+1; i<nd; i++)
+	    MPL_msg_printf("%d%c", trydims[i], (i+1<nd) ? 'x' : '\n');
+    }
+    if (idx > 1) {
+        MPIR_CHKLMEM_DECL(1);
+        int *newdivs;
+        MPIR_CHKLMEM_MALLOC(newdivs,int*,ndivs*sizeof(int),mpi_errno,"divs");
+        if (mpi_errno) return mpi_errno;
+
+	/* At least 3 divisors to set (0...idx).  We try all choices
+	   recursively, but stop looking when we can easily tell that
+	   no additional cases can improve the current solution. */
+	for (k=0; k<ndivs; k++) {
+	    f = divs[k];
+	    if (MPIR_CVAR_DIMS_VERBOSE) {
+                MPL_msg_printf("Noptb: try f=%d at dims[%d]\n", f, idx);
+            }
+	    if (idx < nd-1 && f-min > curbal) {
+		if (MPIR_CVAR_DIMS_VERBOSE){
+                    MPL_msg_printf("f-min = %d, curbal = %d, skipping other divisors\n",
+                                   f-min, curbal);
+                }
+                MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
+		break; /* best case is all divisors at least
+			  f, so the best balance is at least
+			  f - min */
+	    }
+	    q = n / f;
+	    /* check whether f is a divisor of what's left.  If so,
+	       remember it as the smallest new divisor */
+	    /* sf is the smallest remaining factor; we use this in an
+	       optimization for possible divisors */
+	    nndivs = 0;
+	    if (q % f == 0) {
+		newdivs[nndivs++] = f;
+		sf                = f;
+	    }
+	    else {
+		sf = divs[k+1];
+	    }
+	    if (idx < nd-1 && sf - min > curbal) {
+                MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
+                break;
+            }
+	    if (MPIR_CVAR_DIMS_VERBOSE) {
+                MPL_msg_printf("Noptb: sf = %d\n", sf);
+            }
+	    ff = sf*sf;                /* At least 2 more divisors */
+	    for (ii=idx-1; ii>0 && ff <= q; ii--) ff *= sf;
+	    if (ii > 0) {
+		if (MPIR_CVAR_DIMS_VERBOSE) {
+                    MPL_msg_printf("break for ii = %d, ff = %d and q = %d\n",
+                                   ii, ff, q);
+                }
+                MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
+		break;        /* remaining divisors >= sf, and
+				 product must be <= q */
+	    }
 
-    /* Second, sort the chosen array in non-increasing order.  Use
-       a simple bubble sort because the number of elements is always small */
-    for (i=0; i<needed-1; i++) {
-	for (j=i+1; j<needed; j++) {
-	    if (chosen[j] > chosen[i]) {
-		int tmp = chosen[i];
-		chosen[i] = chosen[j];
-		chosen[j] = tmp;
+	    /* Try f as the divisor at the idx location */
+	    trydims[idx] = f;
+            MPIR_T_PVAR_TIMER_START(DIMS, dims_div);
+	    /* find the subset of divisors of n that are divisors of q
+	       and larger than f but such that f*f <= q */
+	    for (kk=k+1; kk<ndivs; kk++) {
+		f = divs[kk];
+		ff = f*f;
+		if (ff > q) {
+                    MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
+                    break;
+                }
+                MPIR_T_PVAR_COUNTER_INC(DIMS, dims_ndivmade, 1);
+		if ((q % f) == 0) {
+		    newdivs[nndivs++] = f;
+		}
+		/* sf * f <= q, break otherwise */
 	    }
+            MPIR_T_PVAR_TIMER_END(DIMS, dims_div);
+	    /* recursively try to find the best subset */
+	    if (nndivs > 0)
+		optbalance(q, idx-1, nd, nndivs, newdivs, trydims,
+                           curbal_p, optdims);
+	}
+        MPIR_CHKLMEM_FREEALL();
+    }
+    else if (idx == 1) {
+	/* Only two.  Find the pair such that q,f has min value for q-min, i.e.,
+	   the smallest q such that q > f.  Note that f*f < n if q > f and
+	   q*f = n*/
+	/* Valid choices for f, q >= divs[0] */
+	int qprev = -1;
+	for (k=1; k<ndivs; k++) {
+	    f = divs[k];
+	    q = n / f;
+	    if (q < f) break;
+	    qprev = q;
+	}
+	f = divs[k-1];
+	if (qprev > 0) q = qprev;
+	else           q = n / f;
+
+	if (q < f) {
+	    if (MPIR_CVAR_DIMS_VERBOSE) {
+                MPL_msg_printf("Skipping because %d < %d\n", q, f);
+            }
+	    /* No valid solution.  Exit without changing current optdims */
+            MPIR_T_PVAR_COUNTER_INC(DIMS, dims_npruned, 1);
+	    return 0;
+	}
+	if (MPIR_CVAR_DIMS_VERBOSE) {
+            MPL_msg_printf("Found best factors %d,%d, from divs[%d]\n",
+                           q,f,k-1);
+        }
+	/* If nd is 2 (and not greater), we will be replacing all values
+	   in dims.  In that case, testbal is q-f;
+	 */
+	if (nd == 2) testbal = q - f;
+	else  testbal = q - min;
+
+        /* Take the new value if it is at least as good as the
+           current choice.  This is what Jesper Traeff's version does
+           (see the code he provided for his EuroMPI'15 paper) */
+	if (testbal <= curbal) {
+	    for (i=2; i<nd; i++) optdims[i] = trydims[i];
+	    optdims[0] = q;
+	    optdims[1] = f;
+	    /* Use the balance for the range of dims, not the total
+	       balance */
+	    *curbal_p = q - min;
+	}
+    }
+    else {
+	/* idx == 0.  Only one choice for divisor */
+	if (n-min <= curbal) {
+	    for (i=1; i<nd; i++) optdims[i] = trydims[i];
+	    optdims[0] = n;
+	    *curbal_p = n - min;
 	}
     }
     return 0;
+fn_fail:
+    return mpi_errno;
 }
 
-int MPIR_Dims_create( int nnodes, int ndims, int dims[] )
+
+/* FIXME: The error checking should really be part of MPI_Dims_create,
+   not part of MPIR_Dims_create_impl.  That slightly changes the
+   semantics of Dims_create provided by the device, but only by
+   removing the need to check for errors */
+
+
+PMPI_LOCAL int MPIR_Dims_create_impl(int nnodes, int ndims, int dims[])
 {
-    Factors factors[MAX_FACTORS];
-    int chosen[MAX_DIMS];
-    int i, j, mpi_errno;
-    int dims_needed, dims_product, nfactors, ndivisors=0;
-    
+    Factors f[MAX_FACTORS];
+    int     nf, nprimes, i, j, k, val, nextidx;
+    int     ndivs, curbal;
+    int     trydims[MAX_DIMS];
+    int     dims_needed, dims_product, mpi_errno;
+    int     chosen[MAX_DIMS], foundDecomp;
+    int     *divs;
+    MPIR_CHKLMEM_DECL(1);
+
     /* Find the number of unspecified dimensions in dims and the product
        of the positive values in dims */
     dims_needed  = 0;
@@ -241,87 +642,189 @@ int MPIR_Dims_create( int nnodes, int ndims, int dims[] )
 
     nnodes /= dims_product;
 
-    /* Now, factor nnodes into dims_needed components.  We'd like these
-       to match the underlying machine topology as much as possible.  In the
-       absence of information about the machine topology, we can try to 
-       make the factors a close to each other as possible.  
-
-       The MPICH 1 version used donated code that was quite sophisticated
-       and complex.  However, since it didn't take the system topology
-       into account, it was more sophisticated that was perhaps warranted.
-       In addition, useful values of nnodes for most MPI programs will be
-       of the order 10-10000, and powers of two will be common.
+    /* Factor the remaining nodes into dims_needed components.  The
+       MPI standard says that these should be as balanced as possible;
+       in particular, unfortunately, not necessarily arranged in a way
+       that makes sense for the underlying machine topology.  The approach
+       used here was inspired by "Specification Guideline Violations
+       by MPI_Dims_create," by Jesper Traeff and Felix Luebbe, EuroMPI'15.
+       Among the changes are the use of a table of primes to speed up the
+       process of finding factors, and some effort to reduce the number
+       of integer division operations.
+
+       Values are put into chosen[0..dims_needed].  These values are then
+       copied back into dims into the "empty" slots (values == 0).
     */
 
-    /* Get the factors */
-    nfactors = MPIR_Factor( nnodes, factors, &ndivisors );
+    if (dims_needed == 1) {
+        /* Simply put the correct value in place */
+        for (j=0; j<ndims; j++) {
+            if (dims[j] == 0) {
+                dims[j] = nnodes;
+                break;
+            }
+        }
+        return 0;
+    }
 
-    /* Divide into 3 major cases:
-       1. Fewer divisors than needed dimensions.  Just use all of the
-          factors up, setting the remaining dimensions to 1
-       2. Only one distinct factor (typically 2) but with greater 
-          multiplicity.  Give each dimension a nearly equal size
-       3. Other.  There are enough factors to divide among the dimensions.
-          This is done in an ad hoc fashion
-    */
+    /* Factor nnodes */
+    MPIR_T_PVAR_TIMER_START(DIMS, dims_fact);
+    nf = factor_num(nnodes, f, &nprimes);
+    MPIR_T_PVAR_TIMER_END(DIMS, dims_fact);
 
-/* DEBUG 
-    printf( "factors are (%d of them) with %d divisors\n", nfactors, ndivisors );
-    for (j=0; j<nfactors; j++) {
-	printf( "val = %d repeated %d\n", factors[j].val, factors[j].cnt );
+    if (MPIR_CVAR_DIMS_VERBOSE) { MPL_msg_printf("found %d factors\n", nf); }
+
+    /* Remove primes > sqrt(n) */
+    nextidx = 0;
+    for (j=nf-1; j>0 && nextidx < dims_needed-1; j--) {
+        val = f[j].val;
+        if (f[j].cnt == 1 && val*val > nnodes) {
+            if (MPIR_CVAR_DIMS_VERBOSE) {
+                MPL_msg_printf("prime %d required in idx %d\n", val, nextidx);
+            }
+            chosen[nextidx++] = val;
+            nf--;
+            nnodes /= val;
+            nprimes--;
+        }
+        else break;
     }
-*/
-    /* The MPI spec requires that the values that are set be in nonincreasing
-       order (MPI-1, section 6.5).  */
-
-    /* Distribute the factors among the dimensions */
-    if (ndivisors <= dims_needed) {
-	/* Just use the factors as needed.  */
-	MPIR_ChooseFactors( nfactors, factors, nnodes, dims_needed, chosen );
-	j = 0;
-	for (i=0; i<ndims; i++) {
-	    if (dims[i] == 0) {
-		dims[i] = chosen[j++];
-	    }
-	}
+
+    /* Now, handle some special cases.  If we find *any* of these,
+       we're done and can use the values in chosen to return values in dims */
+    foundDecomp = 0;
+    if (nprimes + nextidx <= dims_needed) {
+        /* Fill with the primes */
+        int m, cnt;
+        if (MPIR_CVAR_DIMS_VERBOSE) {
+            MPL_msg_printf("Nprimes = %d, number dims left = %d\n", nprimes,
+                           dims_needed-nextidx);
+        }
+        i = nextidx + nprimes;
+        for (k=0; k<nf; k++) {
+            cnt = f[k].cnt;
+            val = f[k].val;
+            for (m=0; m<cnt; m++) chosen[--i] = val;
+        }
+        i = nextidx + nprimes;
+        while (i<ndims) chosen[i++] = 1;
+        foundDecomp = 1;
     }
-    else {
-	/* We must combine some of the factors */
-	if (nfactors == 1) {
-	    /* Special case for k**n, such as powers of 2 */
-            int factor = factors[0].val;
-            int cnt    = factors[0].cnt; /* Number of factors left */
-
-            for (i=0;i<ndims;i++)
-                if(dims[i]==0)dims[i]=-1;
-
-            i=0;
-            while (cnt > 0) {
-                if (dims[i] < 0) {
-                    dims[i] = dims[i] * factor;
-                    --cnt;
-                }
-                if (++i >= ndims) i=0;
+    else if (dims_needed - nextidx == 1) {
+        chosen[nextidx] = nnodes;
+        foundDecomp = 1;
+    }
+    else if (nf == 1) {
+        /* What's left is a product of a single prime, so there is only one
+           possible factorization */
+        int cnt = f[0].cnt;
+        val = f[0].val;
+        if (MPIR_CVAR_DIMS_VERBOSE) {
+            MPL_msg_printf("only 1 prime = %d left\n", val);
+        }
+        for (k=nextidx; k<dims_needed; k++) chosen[k] = 1;
+        k = nextidx;
+        while (cnt-- > 0) {
+            if (k >= dims_needed) k = nextidx;
+            chosen[k++] *= val;
+        }
+        foundDecomp = 1;
+    }
+    /* There's another case we consider, particularly since we've
+       factored out the "large" primes.  If (cnt % (ndims-nextidx)) == 0
+       for every remaining factor, then
+       f = product of (val^ (cnt/(ndims-nextidx)))
+    */
+    if (!foundDecomp) {
+        int ndleft = dims_needed - nextidx;
+        for (j=0; j<nf; j++) if (f[j].cnt % ndleft != 0) break;
+        if (j == nf) {
+            int fval;
+            val = 1;
+            for (j=0; j<nf; j++) {
+                int pow = f[j].cnt / ndleft;
+                fval = f[j].val;
+                while (pow--) val *= fval;
+            }
+            for (j=nextidx; j<dims_needed; j++) chosen[j] = val;
+            if (MPIR_CVAR_DIMS_VERBOSE) {
+                MPL_msg_printf("Used power of factors for dims\n");
             }
-            for (i=0; i<ndims; i++)
-                if (dims[i] < 0) dims[i] = -dims[i];
+            foundDecomp = 1;
         }
-	else {
-	    /* Here is the general case.  */
-	    MPIR_ChooseFactors( nfactors, factors, nnodes, dims_needed, 
-				chosen );
-	    j = 0;
-	    for (i=0; i<ndims; i++) {
-		if (dims[i] == 0) {
-		    dims[i] = chosen[j++];
-		}
-	    }
-	}
     }
+
+    if (foundDecomp) {
+        j = 0;
+        for (i=0; i<ndims; i++) {
+            if (dims[i] == 0) {
+                dims[i] = chosen[j++];
+            }
+        }
+        return 0;
+    }
+
+    /* ndims >= 2 */
+
+    /* No trivial solution.  Balance the remaining values (note that we may
+       have already trimmed off some large factors */
+    /* First, find all of the divisors given by the remaining factors */
+    ndivs = ndivisors_from_factor(nf, (const Factors *)f);
+    MPIR_CHKLMEM_MALLOC(divs,int*,(ndivs)*sizeof(int),mpi_errno,"divs");
+    ndivs = factor_to_divisors(nf, f, ndivs, divs);
+    if (MPIR_CVAR_DIMS_VERBOSE){
+        for (i=0;i<ndivs;i++) {
+            if (divs[i] <= 0) { MPL_msg_printf("divs[%d]=%d!\n", i, divs[i]);}
+        }
+    }
+
+    /* Create a simple first guess.  We do this by using a round robin
+       distribution of the primes in the remaining values (from nextidx
+       to ndims) */
+    MPIR_T_PVAR_TIMER_START(DIMS, dims_basefact);
+    factor_to_dims_by_rr(nf, f, dims_needed - nextidx, chosen + nextidx);
+    MPIR_T_PVAR_TIMER_END(DIMS, dims_basefact);
+
+    /* This isn't quite right, as the balance may depend on the other (larger)
+       divisors already chosen */
+    /* Need to add nextidx */
+    curbal = chosen[0] - chosen[dims_needed-1];
+    trydims[dims_needed-nextidx-1] = divs[0];
+    if (MPIR_CVAR_DIMS_VERBOSE) {
+        MPL_msg_printf("N: initial decomp is: ");
+        for (i=0; i<dims_needed; i++)
+            MPL_msg_printf("%d%c", chosen[i], (i+1<dims_needed) ? 'x' : '\n');
+    }
+    MPIR_T_PVAR_TIMER_START(DIMS, dims_bal);
+    optbalance(nnodes, dims_needed-nextidx-1, dims_needed-nextidx,
+                    ndivs, divs, trydims, &curbal, chosen+nextidx);
+    MPIR_T_PVAR_TIMER_END(DIMS, dims_bal);
+    MPIR_CHKLMEM_FREEALL();
+
+    if (MPIR_CVAR_DIMS_VERBOSE){
+        MPL_msg_printf("N: final decomp is: ");
+        for (i=0; i<dims_needed; i++)
+            MPL_msg_printf("%d%c", chosen[i], (i+1<dims_needed) ? 'x' : '\n');
+    }
+
+    j = 0;
+    for (i=0; i<ndims; i++) {
+        if (dims[i] == 0) {
+            dims[i] = chosen[j++];
+        }
+    }
+
     return MPI_SUCCESS;
+fn_fail:
+    return mpi_errno;
 }
 
-#endif
+#else
+/* MPI_Dims_create and PMPI_Dims_create must see the same variable for this
+   one-time initialization flag */
+extern volatile int MPIR_DIMS_initPCVars;
+
+#endif /* PMPI Local */
 
 #undef FUNCNAME
 #define FUNCNAME MPI_Dims_create
@@ -371,12 +874,18 @@ int MPI_Dims_create(int nnodes, int ndims, int dims[])
     }
 #   endif /* HAVE_ERROR_CHECKING */
 
+    /* Initialize pvars and cvars if this is the first call */
+    if (MPIR_DIMS_initPCVars) {
+        MPIR_Dims_create_init();
+        MPIR_DIMS_initPCVars = 0;
+    }
+
     /* ... body of routine ...  */
     if (MPIR_Process.dimsCreate != NULL) {
 	mpi_errno = MPIR_Process.dimsCreate( nnodes, ndims, dims );
     }
     else {
-	mpi_errno = MPIR_Dims_create( nnodes, ndims, dims );
+	mpi_errno = MPIR_Dims_create_impl( nnodes, ndims, dims );
     }
     if (mpi_errno) MPIR_ERR_POP(mpi_errno);
     /* ... end of body of routine ... */

http://git.mpich.org/mpich.git/commitdiff/a3e4627780154441e709db42c4d34c8989931e55

commit a3e4627780154441e709db42c4d34c8989931e55
Author: William Gropp <wgropp at illinois.edu>
Date:   Thu Dec 17 15:02:19 2015 -0600

    Better test for MPI_Dims_create
    
    Checks for balanced choice of dimensions, as required by the MPI standard.
    Uses results found with a code provided by Jesper Traeff.
    
    Signed-off-by: Ken Raffenetti <raffenet at mcs.anl.gov>

diff --git a/test/mpi/.gitignore b/test/mpi/.gitignore
index 2a9d871..ed14c0f 100644
--- a/test/mpi/.gitignore
+++ b/test/mpi/.gitignore
@@ -1196,6 +1196,7 @@
 /topo/cartzero
 /topo/dgraph_unwgt
 /topo/dims2
+/topo/dims5
 /topo/distgraph1
 /topo/graphcr
 /topo/graphcr2
diff --git a/test/mpi/topo/Makefile.am b/test/mpi/topo/Makefile.am
index f8f7bb5..e0956d1 100644
--- a/test/mpi/topo/Makefile.am
+++ b/test/mpi/topo/Makefile.am
@@ -22,6 +22,7 @@ noinst_PROGRAMS = \
     dims2         \
     dims3         \
     dims4         \
+    dims5         \
     graphmap1     \
     topotest      \
     topodup       \
diff --git a/test/mpi/topo/baddims.h b/test/mpi/topo/baddims.h
new file mode 100644
index 0000000..25b8130
--- /dev/null
+++ b/test/mpi/topo/baddims.h
@@ -0,0 +1,75394 @@
+{ 72, 2, {9,8}},
+{ 180, 2, {15,12}},
+{ 240, 2, {16,15}},
+{ 288, 2, {18,16}},
+{ 336, 2, {21,16}},
+{ 420, 2, {21,20}},
+{ 450, 2, {25,18}},
+{ 504, 2, {24,21}},
+{ 540, 2, {27,20}},
+{ 600, 2, {25,24}},
+{ 648, 2, {27,24}},
+{ 675, 2, {27,25}},
+{ 720, 2, {30,24}},
+{ 756, 2, {28,27}},
+{ 792, 2, {33,24}},
+{ 800, 2, {32,25}},
+{ 864, 2, {32,27}},
+{ 924, 2, {33,28}},
+{ 945, 2, {35,27}},
+{ 960, 2, {32,30}},
+{ 1050, 2, {35,30}},
+{ 1056, 2, {33,32}},
+{ 1092, 2, {39,28}},
+{ 1120, 2, {35,32}},
+{ 1152, 2, {36,32}},
+{ 1188, 2, {36,33}},
+{ 1248, 2, {39,32}},
+{ 1260, 2, {36,35}},
+{ 1320, 2, {40,33}},
+{ 1323, 2, {49,27}},
+{ 1344, 2, {42,32}},
+{ 1400, 2, {40,35}},
+{ 1404, 2, {39,36}},
+{ 1560, 2, {40,39}},
+{ 1568, 2, {49,32}},
+{ 1575, 2, {45,35}},
+{ 1620, 2, {45,36}},
+{ 1680, 2, {42,40}},
+{ 1716, 2, {44,39}},
+{ 1800, 2, {45,40}},
+{ 1836, 2, {51,36}},
+{ 1872, 2, {48,39}},
+{ 1960, 2, {49,40}},
+{ 1980, 2, {45,44}},
+{ 2016, 2, {48,42}},
+{ 2040, 2, {51,40}},
+{ 2160, 2, {48,45}},
+{ 2205, 2, {49,45}},
+{ 2244, 2, {51,44}},
+{ 2280, 2, {57,40}},
+{ 2310, 2, {55,42}},
+{ 2340, 2, {52,45}},
+{ 2352, 2, {49,48}},
+{ 2400, 2, {50,48}},
+{ 2448, 2, {51,48}},
+{ 2450, 2, {50,49}},
+{ 2475, 2, {55,45}},
+{ 2508, 2, {57,44}},
+{ 2520, 2, {56,45}},
+{ 2592, 2, {54,48}},
+{ 2640, 2, {55,48}},
+{ 2646, 2, {54,49}},
+{ 2652, 2, {52,51}},
+{ 2700, 2, {54,50}},
+{ 2730, 2, {65,42}},
+{ 2736, 2, {57,48}},
+{ 2772, 2, {63,44}},
+{ 2856, 2, {56,51}},
+{ 2880, 2, {60,48}},
+{ 2925, 2, {65,45}},
+{ 2940, 2, {60,49}},
+{ 2964, 2, {57,52}},
+{ 2970, 2, {55,54}},
+{ 3024, 2, {56,54}},
+{ 3060, 2, {60,51}},
+{ 3080, 2, {56,55}},
+{ 3168, 2, {66,48}},
+{ 3192, 2, {57,56}},
+{ 3200, 2, {64,50}},
+{ 3264, 2, {64,51}},
+{ 3276, 2, {63,52}},
+{ 3300, 2, {60,55}},
+{ 3312, 2, {69,48}},
+{ 3420, 2, {60,57}},
+{ 3456, 2, {64,54}},
+{ 3465, 2, {63,55}},
+{ 3510, 2, {65,54}},
+{ 3520, 2, {64,55}},
+{ 3528, 2, {63,56}},
+{ 3588, 2, {69,52}},
+{ 3640, 2, {65,56}},
+{ 3648, 2, {64,57}},
+{ 3675, 2, {75,49}},
+{ 3696, 2, {66,56}},
+{ 3780, 2, {63,60}},
+{ 3840, 2, {64,60}},
+{ 3864, 2, {69,56}},
+{ 3876, 2, {68,57}},
+{ 3900, 2, {65,60}},
+{ 4032, 2, {64,63}},
+{ 4050, 2, {75,54}},
+{ 4095, 2, {65,63}},
+{ 4104, 2, {72,57}},
+{ 4140, 2, {69,60}},
+{ 4160, 2, {65,64}},
+{ 4200, 2, {70,60}},
+{ 4224, 2, {66,64}},
+{ 4284, 2, {68,63}},
+{ 4290, 2, {66,65}},
+{ 4312, 2, {77,56}},
+{ 4368, 2, {78,56}},
+{ 4400, 2, {80,55}},
+{ 4416, 2, {69,64}},
+{ 4455, 2, {81,55}},
+{ 4480, 2, {70,64}},
+{ 4500, 2, {75,60}},
+{ 4536, 2, {72,63}},
+{ 4590, 2, {85,54}},
+{ 4608, 2, {72,64}},
+{ 4680, 2, {72,65}},
+{ 4692, 2, {69,68}},
+{ 4752, 2, {72,66}},
+{ 4788, 2, {76,63}},
+{ 4800, 2, {75,64}},
+{ 4851, 2, {77,63}},
+{ 4860, 2, {81,60}},
+{ 4928, 2, {77,64}},
+{ 4968, 2, {72,69}},
+{ 4992, 2, {78,64}},
+{ 5040, 2, {72,70}},
+{ 5096, 2, {91,56}},
+{ 5100, 2, {75,68}},
+{ 5200, 2, {80,65}},
+{ 5220, 2, {87,60}},
+{ 5244, 2, {76,69}},
+{ 5265, 2, {81,65}},
+{ 5280, 2, {80,66}},
+{ 5355, 2, {85,63}},
+{ 5376, 2, {84,64}},
+{ 5390, 2, {77,70}},
+{ 5400, 2, {75,72}},
+{ 5508, 2, {81,68}},
+{ 5520, 2, {80,69}},
+{ 5544, 2, {77,72}},
+{ 5568, 2, {87,64}},
+{ 5600, 2, {80,70}},
+{ 5610, 2, {85,66}},
+{ 5616, 2, {78,72}},
+{ 5670, 2, {81,70}},
+{ 5700, 2, {76,75}},
+{ 5720, 2, {88,65}},
+{ 5733, 2, {91,63}},
+{ 5775, 2, {77,75}},
+{ 5796, 2, {84,69}},
+{ 5824, 2, {91,64}},
+{ 5832, 2, {81,72}},
+{ 5916, 2, {87,68}},
+{ 5952, 2, {93,64}},
+{ 5985, 2, {95,63}},
+{ 6000, 2, {80,75}},
+{ 6072, 2, {88,69}},
+{ 6075, 2, {81,75}},
+{ 6120, 2, {85,72}},
+{ 6125, 2, {125,49}},
+{ 6156, 2, {81,76}},
+{ 6160, 2, {80,77}},
+{ 6237, 2, {81,77}},
+{ 6240, 2, {80,78}},
+{ 6264, 2, {87,72}},
+{ 6270, 2, {95,66}},
+{ 6272, 2, {98,64}},
+{ 6300, 2, {84,75}},
+{ 6324, 2, {93,68}},
+{ 6370, 2, {91,70}},
+{ 6435, 2, {99,65}},
+{ 6468, 2, {84,77}},
+{ 6480, 2, {81,80}},
+{ 6600, 2, {88,75}},
+{ 6612, 2, {87,76}},
+{ 6630, 2, {85,78}},
+{ 6696, 2, {93,72}},
+{ 6720, 2, {84,80}},
+{ 6732, 2, {99,68}},
+{ 6800, 2, {85,80}},
+{ 6804, 2, {84,81}},
+{ 6825, 2, {91,75}},
+{ 6864, 2, {88,78}},
+{ 6885, 2, {85,81}},
+{ 6900, 2, {92,75}},
+{ 6930, 2, {90,77}},
+{ 6960, 2, {87,80}},
+{ 7068, 2, {93,76}},
+{ 7128, 2, {88,81}},
+{ 7140, 2, {85,84}},
+{ 7200, 2, {90,80}},
+{ 7280, 2, {91,80}},
+{ 7308, 2, {87,84}},
+{ 7344, 2, {102,72}},
+{ 7350, 2, {98,75}},
+{ 7371, 2, {91,81}},
+{ 7410, 2, {95,78}},
+{ 7440, 2, {93,80}},
+{ 7452, 2, {92,81}},
+{ 7480, 2, {88,85}},
+{ 7488, 2, {96,78}},
+{ 7497, 2, {119,63}},
+{ 7524, 2, {99,76}},
+{ 7600, 2, {95,80}},
+{ 7644, 2, {91,84}},
+{ 7650, 2, {90,85}},
+{ 7656, 2, {88,87}},
+{ 7695, 2, {95,81}},
+{ 7700, 2, {100,77}},
+{ 7776, 2, {96,81}},
+{ 7812, 2, {93,84}},
+{ 7840, 2, {98,80}},
+{ 7920, 2, {90,88}},
+{ 7938, 2, {98,81}},
+{ 7980, 2, {95,84}},
+{ 8004, 2, {92,87}},
+{ 8008, 2, {91,88}},
+{ 8064, 2, {96,84}},
+{ 8085, 2, {105,77}},
+{ 8160, 2, {96,85}},
+{ 8184, 2, {93,88}},
+{ 8190, 2, {91,90}},
+{ 8316, 2, {99,84}},
+{ 8352, 2, {96,87}},
+{ 8360, 2, {95,88}},
+{ 8379, 2, {133,63}},
+{ 8415, 2, {99,85}},
+{ 8424, 2, {104,81}},
+{ 8436, 2, {111,76}},
+{ 8505, 2, {105,81}},
+{ 8550, 2, {95,90}},
+{ 8556, 2, {93,92}},
+{ 8640, 2, {96,90}},
+{ 8700, 2, {100,87}},
+{ 8712, 2, {99,88}},
+{ 8736, 2, {96,91}},
+{ 8820, 2, {98,90}},
+{ 8840, 2, {104,85}},
+{ 8880, 2, {111,80}},
+{ 8928, 2, {96,93}},
+{ 8970, 2, {115,78}},
+{ 8976, 2, {102,88}},
+{ 9009, 2, {99,91}},
+{ 9048, 2, {104,87}},
+{ 9075, 2, {121,75}},
+{ 9100, 2, {100,91}},
+{ 9108, 2, {99,92}},
+{ 9120, 2, {96,95}},
+{ 9240, 2, {105,88}},
+{ 9300, 2, {100,93}},
+{ 9315, 2, {115,81}},
+{ 9324, 2, {111,84}},
+{ 9360, 2, {104,90}},
+{ 9396, 2, {108,87}},
+{ 9405, 2, {99,95}},
+{ 9408, 2, {98,96}},
+{ 9450, 2, {105,90}},
+{ 9504, 2, {99,96}},
+{ 9520, 2, {112,85}},
+{ 9555, 2, {105,91}},
+{ 9600, 2, {100,96}},
+{ 9625, 2, {125,77}},
+{ 9639, 2, {119,81}},
+{ 9660, 2, {105,92}},
+{ 9672, 2, {104,93}},
+{ 9690, 2, {102,95}},
+{ 9744, 2, {112,87}},
+{ 9750, 2, {125,78}},
+{ 9768, 2, {111,88}},
+{ 9792, 2, {102,96}},
+{ 9800, 2, {100,98}},
+{ 9828, 2, {108,91}},
+{ 9880, 2, {104,95}},
+{ 9900, 2, {100,99}},
+{ 9945, 2, {117,85}},
+{ 10010, 2, {110,91}},
+{ 10032, 2, {114,88}},
+{ 10044, 2, {108,93}},
+{ 10080, 2, {105,96}},
+{ 10125, 2, {125,81}},
+{ 10164, 2, {121,84}},
+{ 10212, 2, {111,92}},
+{ 10260, 2, {108,95}},
+{ 10296, 2, {104,99}},
+{ 10332, 2, {123,84}},
+{ 10350, 2, {115,90}},
+{ 10368, 2, {108,96}},
+{ 10416, 2, {112,93}},
+{ 10472, 2, {119,88}},
+{ 10500, 2, {105,100}},
+{ 10560, 2, {110,96}},
+{ 10584, 2, {108,98}},
+{ 10608, 2, {104,102}},
+{ 10640, 2, {112,95}},
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+{ 248832, 14, {4,3,3,3,3,3,2,2,2,2,2,2,2,2}},
+{ 331776, 14, {4,4,3,3,3,3,2,2,2,2,2,2,2,2}},
+{ 373248, 14, {4,3,3,3,3,3,3,2,2,2,2,2,2,2}},
+{ 414720, 14, {5,4,3,3,3,3,2,2,2,2,2,2,2,2}},
+{ 442368, 14, {4,4,4,3,3,3,2,2,2,2,2,2,2,2}},
+{ 497664, 14, {4,4,3,3,3,3,3,2,2,2,2,2,2,2}},
+{ 559872, 14, {4,3,3,3,3,3,3,3,2,2,2,2,2,2}},
+{ 622080, 14, {5,4,3,3,3,3,3,2,2,2,2,2,2,2}},
+{ 663552, 14, {4,4,4,3,3,3,3,2,2,2,2,2,2,2}},
+{ 691200, 14, {5,5,4,3,3,3,2,2,2,2,2,2,2,2}},
+{ 746496, 14, {4,4,3,3,3,3,3,3,2,2,2,2,2,2}},
+{ 829440, 14, {5,4,4,3,3,3,3,2,2,2,2,2,2,2}},
+{ 839808, 14, {4,3,3,3,3,3,3,3,3,2,2,2,2,2}},
+{ 884736, 14, {4,4,4,4,3,3,3,2,2,2,2,2,2,2}},
+{ 933120, 14, {5,4,3,3,3,3,3,3,2,2,2,2,2,2}},
+{ 995328, 14, {4,4,4,3,3,3,3,3,2,2,2,2,2,2}},
+{ 221184, 15, {4,3,3,3,2,2,2,2,2,2,2,2,2,2,2}},
+{ 331776, 15, {4,3,3,3,3,2,2,2,2,2,2,2,2,2,2}},
+{ 442368, 15, {4,4,3,3,3,2,2,2,2,2,2,2,2,2,2}},
+{ 497664, 15, {4,3,3,3,3,3,2,2,2,2,2,2,2,2,2}},
+{ 663552, 15, {4,4,3,3,3,3,2,2,2,2,2,2,2,2,2}},
+{ 746496, 15, {4,3,3,3,3,3,3,2,2,2,2,2,2,2,2}},
+{ 829440, 15, {5,4,3,3,3,3,2,2,2,2,2,2,2,2,2}},
+{ 884736, 15, {4,4,4,3,3,3,2,2,2,2,2,2,2,2,2}},
+{ 995328, 15, {4,4,3,3,3,3,3,2,2,2,2,2,2,2,2}},
+{ 442368, 16, {4,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2}},
+{ 663552, 16, {4,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2}},
+{ 884736, 16, {4,4,3,3,3,2,2,2,2,2,2,2,2,2,2,2}},
+{ 995328, 16, {4,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2}},
+{ 884736, 17, {4,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2}},
diff --git a/test/mpi/topo/dims5.c b/test/mpi/topo/dims5.c
new file mode 100644
index 0000000..d95ca5d
--- /dev/null
+++ b/test/mpi/topo/dims5.c
@@ -0,0 +1,104 @@
+/* -*- Mode: C; c-basic-offset:4 ; indent-tabs-mode:nil ; -*- */
+/*
+ *  (C) 2016 by Argonne National Laboratory.
+ *      See COPYRIGHT in top-level directory.
+ */
+#include "mpi.h"
+#include <stdio.h>
+#include "mpitest.h"
+
+/*
+ * Test MPI_Dims_create and the choice of decompositions.  These should match
+ * the definition in MPI, which wants a "balanced" decomposition.  There
+ * is some ambiguity in the definition, so this test attempts to deal with
+ * that.
+ */
+#define MAX_DIMS 20
+
+typedef struct {
+    int size, dim;
+    int orderedDecomp[MAX_DIMS];
+} DimsTestVal_t;
+
+/* MPI 3.1, page 293, line 31, output values of Dims_create are in
+   non-increasing order */
+DimsTestVal_t tests[] = {
+#include "baddims.h"
+    };
+
+/* Forward refs */
+void zeroDims(int, int []);
+int checkDims(DimsTestVal_t *, const int []);
+int compareDims(int, const int[], const int[], int);
+
+int main(int argc, char *argv[])
+{
+    int i, k, wrank, errs = 0;
+    int dims[MAX_DIMS];
+
+    MTest_Init(0, 0);
+    MPI_Comm_rank(MPI_COMM_WORLD, &wrank);
+
+    if (wrank == 0) {
+
+	for (k=0; tests[k].size > 0; k++) {
+	    zeroDims(tests[k].dim, dims);
+	    MPI_Dims_create(tests[k].size, tests[k].dim, dims);
+	    if (checkDims(&tests[k], dims)) {
+		errs++;
+		MTestPrintfMsg(1, "Test %d failed with mismatched output", k);
+		if (errs < 10) {
+		    fprintf(stderr, "%d in %dd: ", tests[k].size, tests[k].dim);
+		    for (i=0; i<tests[k].dim-1; i++)
+			fprintf(stderr, "%d x ", dims[i]);
+		    fprintf(stderr, "%d != %d", dims[tests[k].dim-1],
+			    tests[k].orderedDecomp[0]);
+		    for (i=1; i<tests[k].dim; i++)
+			fprintf(stderr," x %d", tests[k].orderedDecomp[i]);
+		    fprintf(stderr,"\n");
+		}
+	    }
+	}
+    }
+
+    MTest_Finalize(errs);
+    MPI_Finalize();
+    return MTestReturnValue(errs);
+}
+
+void zeroDims(int dim, int dims[])
+{
+    int k;
+    for (k=0; k<dim; k++) dims[k] = 0;
+}
+
+int checkDims(DimsTestVal_t *test, const int dims[])
+{
+    int k, errs=0;
+
+    for (k=0; k<test->dim; k++) {
+	if (dims[k] != test->orderedDecomp[k]) {
+	    errs ++;
+	}
+    }
+    return errs;
+}
+
+int compareDims(int dim, const int d1[], const int d2[], int isweak)
+{
+    int diff = 0, k;
+    if (isweak) {
+	diff = d1[0] - d1[dim-1] - (d2[0] - d2[dim-1]);
+	if (diff < 0) diff = - diff;
+    }
+    else {
+	for (k=0; k<dim; k++) {
+	    int d = d1[k] - d2[k];
+	    if (d < 0) d = -d;
+	    diff += d;
+	}
+    }
+    return diff;
+}
+
+
diff --git a/test/mpi/topo/testlist b/test/mpi/topo/testlist
index 6804177..87a1f53 100644
--- a/test/mpi/topo/testlist
+++ b/test/mpi/topo/testlist
@@ -7,6 +7,7 @@ dims1 4
 dims2 1
 dims3 1
 dims4 1
+dims5 1
 graphmap1 4
 topotest 4
 topodup 4

-----------------------------------------------------------------------

Summary of changes:
 configure.ac               |   13 +-
 src/mpi/topo/dims_create.c | 1029 +-
 test/mpi/.gitignore        |    1 +
 test/mpi/topo/Makefile.am  |    1 +
 test/mpi/topo/baddims.h    |75394 ++++++++++++++++++++++++++++++++++++++++++++
 test/mpi/topo/dims5.c      |  104 +
 test/mpi/topo/testlist     |    1 +
 7 files changed, 76286 insertions(+), 257 deletions(-)
 create mode 100644 test/mpi/topo/baddims.h
 create mode 100644 test/mpi/topo/dims5.c


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