| /* monte/vegas.c |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000 Michael Booth |
| * |
| * This program is free software; you can redistribute it and/or modify |
| * it under the terms of the GNU General Public License as published by |
| * the Free Software Foundation; either version 2 of the License, or (at |
| * your option) any later version. |
| * |
| * This program is distributed in the hope that it will be useful, but |
| * WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| * General Public License for more details. |
| * |
| * You should have received a copy of the GNU General Public License |
| * along with this program; if not, write to the Free Software |
| * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
| */ |
| |
| /* Author: MJB */ |
| /* Modified by: Brian Gough, 12/2000 */ |
| |
| /* This is an implementation of the adaptive Monte-Carlo algorithm |
| of G. P. Lepage, originally described in J. Comp. Phys. 27, 192(1978). |
| The current version of the algorithm was described in the Cornell |
| preprint CLNS-80/447 of March, 1980. |
| |
| This code follows most closely the c version by D.R.Yennie, coded |
| in 1984. |
| |
| The input coordinates are x[j], with upper and lower limits xu[j] |
| and xl[j]. The integration length in the j-th direction is |
| delx[j]. Each coordinate x[j] is rescaled to a variable y[j] in |
| the range 0 to 1. The range is divided into bins with boundaries |
| xi[i][j], where i=0 corresponds to y=0 and i=bins to y=1. The grid |
| is refined (ie, bins are adjusted) using d[i][j] which is some |
| variation on the squared sum. A third parameter used in defining |
| the real coordinate using random numbers is called z. It ranges |
| from 0 to bins. Its integer part gives the lower index of the bin |
| into which a call is to be placed, and the remainder gives the |
| location inside the bin. |
| |
| When stratified sampling is used the bins are grouped into boxes, |
| and the algorithm allocates an equal number of function calls to |
| each box. |
| |
| The variable alpha controls how "stiff" the rebinning algorithm is. |
| alpha = 0 means never change the grid. Alpha is typically set between |
| 1 and 2. |
| |
| */ |
| |
| /* configuration headers */ |
| #include <config.h> |
| |
| /* standard headers */ |
| #include <math.h> |
| #include <stdio.h> |
| |
| /* gsl headers */ |
| #include <gsl/gsl_math.h> |
| #include <gsl/gsl_errno.h> |
| #include <gsl/gsl_rng.h> |
| #include <gsl/gsl_monte_vegas.h> |
| |
| /* lib-specific headers */ |
| #define BINS_MAX 50 /* even integer, will be divided by two */ |
| |
| /* A separable grid with coordinates and values */ |
| #define COORD(s,i,j) ((s)->xi[(i)*(s)->dim + (j)]) |
| #define NEW_COORD(s,i) ((s)->xin[(i)]) |
| #define VALUE(s,i,j) ((s)->d[(i)*(s)->dim + (j)]) |
| |
| /* predeclare functions */ |
| |
| typedef int coord; |
| |
| static void init_grid (gsl_monte_vegas_state * s, double xl[], double xu[], |
| size_t dim); |
| static void reset_grid_values (gsl_monte_vegas_state * s); |
| static void init_box_coord (gsl_monte_vegas_state * s, coord box[]); |
| static int change_box_coord (gsl_monte_vegas_state * s, coord box[]); |
| static void accumulate_distribution (gsl_monte_vegas_state * s, coord bin[], |
| double y); |
| static void random_point (double x[], coord bin[], double *bin_vol, |
| const coord box[], |
| const double xl[], const double xu[], |
| gsl_monte_vegas_state * s, gsl_rng * r); |
| static void resize_grid (gsl_monte_vegas_state * s, unsigned int bins); |
| static void refine_grid (gsl_monte_vegas_state * s); |
| |
| static void print_lim (gsl_monte_vegas_state * state, |
| double xl[], double xu[], unsigned long dim); |
| static void print_head (gsl_monte_vegas_state * state, |
| unsigned long num_dim, unsigned long calls, |
| unsigned int it_num, |
| unsigned int bins, unsigned int boxes); |
| static void print_res (gsl_monte_vegas_state * state, |
| unsigned int itr, double res, double err, |
| double cum_res, double cum_err, |
| double chi_sq); |
| static void print_dist (gsl_monte_vegas_state * state, unsigned long dim); |
| static void print_grid (gsl_monte_vegas_state * state, unsigned long dim); |
| |
| int |
| gsl_monte_vegas_integrate (gsl_monte_function * f, |
| double xl[], double xu[], |
| size_t dim, size_t calls, |
| gsl_rng * r, |
| gsl_monte_vegas_state * state, |
| double *result, double *abserr) |
| { |
| double cum_int, cum_sig; |
| size_t i, k, it; |
| |
| if (dim != state->dim) |
| { |
| GSL_ERROR ("number of dimensions must match allocated size", GSL_EINVAL); |
| } |
| |
| for (i = 0; i < dim; i++) |
| { |
| if (xu[i] <= xl[i]) |
| { |
| GSL_ERROR ("xu must be greater than xl", GSL_EINVAL); |
| } |
| |
| if (xu[i] - xl[i] > GSL_DBL_MAX) |
| { |
| GSL_ERROR ("Range of integration is too large, please rescale", |
| GSL_EINVAL); |
| } |
| } |
| |
| if (state->stage == 0) |
| { |
| init_grid (state, xl, xu, dim); |
| |
| if (state->verbose >= 0) |
| { |
| print_lim (state, xl, xu, dim); |
| } |
| } |
| |
| if (state->stage <= 1) |
| { |
| state->wtd_int_sum = 0; |
| state->sum_wgts = 0; |
| state->chi_sum = 0; |
| state->it_num = 1; |
| state->samples = 0; |
| } |
| |
| if (state->stage <= 2) |
| { |
| unsigned int bins = state->bins_max; |
| unsigned int boxes = 1; |
| |
| if (state->mode != GSL_VEGAS_MODE_IMPORTANCE_ONLY) |
| { |
| /* shooting for 2 calls/box */ |
| |
| boxes = floor (pow (calls / 2.0, 1.0 / dim)); |
| state->mode = GSL_VEGAS_MODE_IMPORTANCE; |
| |
| if (2 * boxes >= state->bins_max) |
| { |
| /* if bins/box < 2 */ |
| int box_per_bin = GSL_MAX (boxes / state->bins_max, 1); |
| |
| bins = GSL_MIN(boxes / box_per_bin, state->bins_max); |
| boxes = box_per_bin * bins; |
| |
| state->mode = GSL_VEGAS_MODE_STRATIFIED; |
| } |
| } |
| |
| { |
| double tot_boxes = pow ((double) boxes, (double) dim); |
| state->calls_per_box = GSL_MAX (calls / tot_boxes, 2); |
| calls = state->calls_per_box * tot_boxes; |
| } |
| |
| /* total volume of x-space/(avg num of calls/bin) */ |
| state->jac = state->vol * pow ((double) bins, (double) dim) / calls; |
| |
| state->boxes = boxes; |
| |
| /* If the number of bins changes from the previous invocation, bins |
| are expanded or contracted accordingly, while preserving bin |
| density */ |
| |
| if (bins != state->bins) |
| { |
| resize_grid (state, bins); |
| |
| if (state->verbose > 1) |
| { |
| print_grid (state, dim); |
| } |
| } |
| |
| if (state->verbose >= 0) |
| { |
| print_head (state, |
| dim, calls, state->it_num, state->bins, state->boxes); |
| } |
| } |
| |
| state->it_start = state->it_num; |
| |
| cum_int = 0.0; |
| cum_sig = 0.0; |
| |
| state->chisq = 0.0; |
| |
| for (it = 0; it < state->iterations; it++) |
| { |
| double intgrl = 0.0, intgrl_sq = 0.0; |
| double sig = 0.0; |
| double wgt; |
| size_t calls_per_box = state->calls_per_box; |
| double jacbin = state->jac; |
| double *x = state->x; |
| coord *bin = state->bin; |
| |
| state->it_num = state->it_start + it; |
| |
| reset_grid_values (state); |
| init_box_coord (state, state->box); |
| |
| do |
| { |
| double m = 0, q = 0; |
| double f_sq_sum = 0.0; |
| |
| for (k = 0; k < calls_per_box; k++) |
| { |
| double fval, bin_vol; |
| |
| random_point (x, bin, &bin_vol, state->box, xl, xu, state, r); |
| |
| fval = jacbin * bin_vol * GSL_MONTE_FN_EVAL (f, x); |
| |
| /* recurrence for mean and variance */ |
| |
| { |
| double d = fval - m; |
| m += d / (k + 1.0); |
| q += d * d * (k / (k + 1.0)); |
| } |
| |
| if (state->mode != GSL_VEGAS_MODE_STRATIFIED) |
| { |
| double f_sq = fval * fval; |
| accumulate_distribution (state, bin, f_sq); |
| } |
| } |
| |
| intgrl += m * calls_per_box; |
| |
| f_sq_sum = q * calls_per_box ; |
| |
| sig += f_sq_sum ; |
| |
| if (state->mode == GSL_VEGAS_MODE_STRATIFIED) |
| { |
| accumulate_distribution (state, bin, f_sq_sum); |
| } |
| } |
| while (change_box_coord (state, state->box)); |
| |
| /* Compute final results for this iteration */ |
| |
| sig = sig / (calls_per_box - 1.0) ; |
| |
| if (sig > 0) |
| { |
| wgt = 1.0 / sig; |
| } |
| else if (state->sum_wgts > 0) |
| { |
| wgt = state->sum_wgts / state->samples; |
| } |
| else |
| { |
| wgt = 0.0; |
| } |
| |
| intgrl_sq = intgrl * intgrl; |
| |
| state->result = intgrl; |
| state->sigma = sqrt(sig); |
| |
| if (wgt > 0.0) |
| { |
| state->samples++ ; |
| state->sum_wgts += wgt; |
| state->wtd_int_sum += intgrl * wgt; |
| state->chi_sum += intgrl_sq * wgt; |
| |
| cum_int = state->wtd_int_sum / state->sum_wgts; |
| cum_sig = sqrt (1 / state->sum_wgts); |
| |
| if (state->samples > 1) |
| { |
| state->chisq = (state->chi_sum - state->wtd_int_sum * cum_int) / |
| (state->samples - 1.0); |
| } |
| } |
| else |
| { |
| cum_int += (intgrl - cum_int) / (it + 1.0); |
| cum_sig = 0.0; |
| } |
| |
| |
| if (state->verbose >= 0) |
| { |
| print_res (state, |
| state->it_num, intgrl, sqrt (sig), cum_int, cum_sig, |
| state->chisq); |
| if (it + 1 == state->iterations && state->verbose > 0) |
| { |
| print_grid (state, dim); |
| } |
| } |
| |
| if (state->verbose > 1) |
| { |
| print_dist (state, dim); |
| } |
| |
| refine_grid (state); |
| |
| if (state->verbose > 1) |
| { |
| print_grid (state, dim); |
| } |
| |
| } |
| |
| /* By setting stage to 1 further calls will generate independent |
| estimates based on the same grid, although it may be rebinned. */ |
| |
| state->stage = 1; |
| |
| *result = cum_int; |
| *abserr = cum_sig; |
| |
| return GSL_SUCCESS; |
| } |
| |
| |
| |
| gsl_monte_vegas_state * |
| gsl_monte_vegas_alloc (size_t dim) |
| { |
| gsl_monte_vegas_state *s = |
| (gsl_monte_vegas_state *) malloc (sizeof (gsl_monte_vegas_state)); |
| |
| if (s == 0) |
| { |
| GSL_ERROR_VAL ("failed to allocate space for vegas state struct", |
| GSL_ENOMEM, 0); |
| } |
| |
| s->delx = (double *) malloc (dim * sizeof (double)); |
| |
| if (s->delx == 0) |
| { |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for delx", GSL_ENOMEM, 0); |
| } |
| |
| s->d = (double *) malloc (BINS_MAX * dim * sizeof (double)); |
| |
| if (s->d == 0) |
| { |
| free (s->delx); |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for d", GSL_ENOMEM, 0); |
| } |
| |
| s->xi = (double *) malloc ((BINS_MAX + 1) * dim * sizeof (double)); |
| |
| if (s->xi == 0) |
| { |
| free (s->d); |
| free (s->delx); |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for xi", GSL_ENOMEM, 0); |
| } |
| |
| s->xin = (double *) malloc ((BINS_MAX + 1) * sizeof (double)); |
| |
| if (s->xin == 0) |
| { |
| free (s->xi); |
| free (s->d); |
| free (s->delx); |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for xin", GSL_ENOMEM, 0); |
| } |
| |
| s->weight = (double *) malloc (BINS_MAX * sizeof (double)); |
| |
| if (s->weight == 0) |
| { |
| free (s->xin); |
| free (s->xi); |
| free (s->d); |
| free (s->delx); |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for xin", GSL_ENOMEM, 0); |
| } |
| |
| s->box = (coord *) malloc (dim * sizeof (coord)); |
| |
| if (s->box == 0) |
| { |
| free (s->weight); |
| free (s->xin); |
| free (s->xi); |
| free (s->d); |
| free (s->delx); |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for box", GSL_ENOMEM, 0); |
| } |
| |
| s->bin = (coord *) malloc (dim * sizeof (coord)); |
| |
| if (s->bin == 0) |
| { |
| free (s->box); |
| free (s->weight); |
| free (s->xin); |
| free (s->xi); |
| free (s->d); |
| free (s->delx); |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for bin", GSL_ENOMEM, 0); |
| } |
| |
| s->x = (double *) malloc (dim * sizeof (double)); |
| |
| if (s->x == 0) |
| { |
| free (s->bin); |
| free (s->box); |
| free (s->weight); |
| free (s->xin); |
| free (s->xi); |
| free (s->d); |
| free (s->delx); |
| free (s); |
| GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0); |
| } |
| |
| s->dim = dim; |
| s->bins_max = BINS_MAX; |
| |
| gsl_monte_vegas_init (s); |
| |
| return s; |
| } |
| |
| /* Set some default values and whatever */ |
| int |
| gsl_monte_vegas_init (gsl_monte_vegas_state * state) |
| { |
| state->stage = 0; |
| state->alpha = 1.5; |
| state->verbose = -1; |
| state->iterations = 5; |
| state->mode = GSL_VEGAS_MODE_IMPORTANCE; |
| state->chisq = 0; |
| state->bins = state->bins_max; |
| state->ostream = stdout; |
| |
| return GSL_SUCCESS; |
| } |
| |
| void |
| gsl_monte_vegas_free (gsl_monte_vegas_state * s) |
| { |
| free (s->x); |
| free (s->delx); |
| free (s->d); |
| free (s->xi); |
| free (s->xin); |
| free (s->weight); |
| free (s->box); |
| free (s->bin); |
| free (s); |
| } |
| |
| static void |
| init_box_coord (gsl_monte_vegas_state * s, coord box[]) |
| { |
| size_t i; |
| |
| size_t dim = s->dim; |
| |
| for (i = 0; i < dim; i++) |
| { |
| box[i] = 0; |
| } |
| } |
| |
| /* change_box_coord steps through the box coord like |
| {0,0}, {0, 1}, {0, 2}, {0, 3}, {1, 0}, {1, 1}, {1, 2}, ... |
| */ |
| static int |
| change_box_coord (gsl_monte_vegas_state * s, coord box[]) |
| { |
| int j = s->dim - 1; |
| |
| int ng = s->boxes; |
| |
| while (j >= 0) |
| { |
| box[j] = (box[j] + 1) % ng; |
| |
| if (box[j] != 0) |
| { |
| return 1; |
| } |
| |
| j--; |
| } |
| |
| return 0; |
| } |
| |
| static void |
| init_grid (gsl_monte_vegas_state * s, double xl[], double xu[], size_t dim) |
| { |
| size_t j; |
| |
| double vol = 1.0; |
| |
| s->bins = 1; |
| |
| for (j = 0; j < dim; j++) |
| { |
| double dx = xu[j] - xl[j]; |
| s->delx[j] = dx; |
| vol *= dx; |
| |
| COORD (s, 0, j) = 0.0; |
| COORD (s, 1, j) = 1.0; |
| } |
| |
| s->vol = vol; |
| } |
| |
| |
| static void |
| reset_grid_values (gsl_monte_vegas_state * s) |
| { |
| size_t i, j; |
| |
| size_t dim = s->dim; |
| size_t bins = s->bins; |
| |
| for (i = 0; i < bins; i++) |
| { |
| for (j = 0; j < dim; j++) |
| { |
| VALUE (s, i, j) = 0.0; |
| } |
| } |
| } |
| |
| static void |
| accumulate_distribution (gsl_monte_vegas_state * s, coord bin[], double y) |
| { |
| size_t j; |
| size_t dim = s->dim; |
| |
| for (j = 0; j < dim; j++) |
| { |
| int i = bin[j]; |
| VALUE (s, i, j) += y; |
| } |
| } |
| |
| static void |
| random_point (double x[], coord bin[], double *bin_vol, |
| const coord box[], const double xl[], const double xu[], |
| gsl_monte_vegas_state * s, gsl_rng * r) |
| { |
| /* Use the random number generator r to return a random position x |
| in a given box. The value of bin gives the bin location of the |
| random position (there may be several bins within a given box) */ |
| |
| double vol = 1.0; |
| |
| size_t j; |
| |
| size_t dim = s->dim; |
| size_t bins = s->bins; |
| size_t boxes = s->boxes; |
| |
| DISCARD_POINTER(xu); /* prevent warning about unused parameter */ |
| |
| for (j = 0; j < dim; ++j) |
| { |
| /* box[j] + ran gives the position in the box units, while z |
| is the position in bin units. */ |
| |
| double z = ((box[j] + gsl_rng_uniform_pos (r)) / boxes) * bins; |
| |
| int k = z; |
| |
| double y, bin_width; |
| |
| bin[j] = k; |
| |
| if (k == 0) |
| { |
| bin_width = COORD (s, 1, j); |
| y = z * bin_width; |
| } |
| else |
| { |
| bin_width = COORD (s, k + 1, j) - COORD (s, k, j); |
| y = COORD (s, k, j) + (z - k) * bin_width; |
| } |
| |
| x[j] = xl[j] + y * s->delx[j]; |
| |
| vol *= bin_width; |
| } |
| |
| *bin_vol = vol; |
| } |
| |
| |
| static void |
| resize_grid (gsl_monte_vegas_state * s, unsigned int bins) |
| { |
| size_t j, k; |
| size_t dim = s->dim; |
| |
| /* weight is ratio of bin sizes */ |
| |
| double pts_per_bin = (double) s->bins / (double) bins; |
| |
| for (j = 0; j < dim; j++) |
| { |
| double xold; |
| double xnew = 0; |
| double dw = 0; |
| int i = 1; |
| |
| for (k = 1; k <= s->bins; k++) |
| { |
| dw += 1.0; |
| xold = xnew; |
| xnew = COORD (s, k, j); |
| |
| for (; dw > pts_per_bin; i++) |
| { |
| dw -= pts_per_bin; |
| NEW_COORD (s, i) = xnew - (xnew - xold) * dw; |
| } |
| } |
| |
| for (k = 1 ; k < bins; k++) |
| { |
| COORD(s, k, j) = NEW_COORD(s, k); |
| } |
| |
| COORD (s, bins, j) = 1; |
| } |
| |
| s->bins = bins; |
| } |
| |
| static void |
| refine_grid (gsl_monte_vegas_state * s) |
| { |
| size_t i, j, k; |
| size_t dim = s->dim; |
| size_t bins = s->bins; |
| |
| for (j = 0; j < dim; j++) |
| { |
| double grid_tot_j, tot_weight; |
| double * weight = s->weight; |
| |
| double oldg = VALUE (s, 0, j); |
| double newg = VALUE (s, 1, j); |
| |
| VALUE (s, 0, j) = (oldg + newg) / 2; |
| grid_tot_j = VALUE (s, 0, j); |
| |
| /* This implements gs[i][j] = (gs[i-1][j]+gs[i][j]+gs[i+1][j])/3 */ |
| |
| for (i = 1; i < bins - 1; i++) |
| { |
| double rc = oldg + newg; |
| oldg = newg; |
| newg = VALUE (s, i + 1, j); |
| VALUE (s, i, j) = (rc + newg) / 3; |
| grid_tot_j += VALUE (s, i, j); |
| } |
| VALUE (s, bins - 1, j) = (newg + oldg) / 2; |
| |
| grid_tot_j += VALUE (s, bins - 1, j); |
| |
| tot_weight = 0; |
| |
| for (i = 0; i < bins; i++) |
| { |
| weight[i] = 0; |
| |
| if (VALUE (s, i, j) > 0) |
| { |
| oldg = grid_tot_j / VALUE (s, i, j); |
| /* damped change */ |
| weight[i] = pow (((oldg - 1) / oldg / log (oldg)), s->alpha); |
| } |
| |
| tot_weight += weight[i]; |
| |
| #ifdef DEBUG |
| printf("weight[%d] = %g\n", i, weight[i]); |
| #endif |
| } |
| |
| { |
| double pts_per_bin = tot_weight / bins; |
| |
| double xold; |
| double xnew = 0; |
| double dw = 0; |
| i = 1; |
| |
| for (k = 0; k < bins; k++) |
| { |
| dw += weight[k]; |
| xold = xnew; |
| xnew = COORD (s, k + 1, j); |
| |
| for (; dw > pts_per_bin; i++) |
| { |
| dw -= pts_per_bin; |
| NEW_COORD (s, i) = xnew - (xnew - xold) * dw / weight[k]; |
| } |
| } |
| |
| for (k = 1 ; k < bins ; k++) |
| { |
| COORD(s, k, j) = NEW_COORD(s, k); |
| } |
| |
| COORD (s, bins, j) = 1; |
| } |
| } |
| } |
| |
| |
| static void |
| print_lim (gsl_monte_vegas_state * state, |
| double xl[], double xu[], unsigned long dim) |
| { |
| unsigned long j; |
| |
| fprintf (state->ostream, "The limits of integration are:\n"); |
| for (j = 0; j < dim; ++j) |
| fprintf (state->ostream, "\nxl[%lu]=%f xu[%lu]=%f", j, xl[j], j, xu[j]); |
| fprintf (state->ostream, "\n"); |
| fflush (state->ostream); |
| } |
| |
| static void |
| print_head (gsl_monte_vegas_state * state, |
| unsigned long num_dim, unsigned long calls, |
| unsigned int it_num, unsigned int bins, unsigned int boxes) |
| { |
| fprintf (state->ostream, |
| "\nnum_dim=%lu, calls=%lu, it_num=%d, max_it_num=%d ", |
| num_dim, calls, it_num, state->iterations); |
| fprintf (state->ostream, |
| "verb=%d, alph=%.2f,\nmode=%d, bins=%d, boxes=%d\n", |
| state->verbose, state->alpha, state->mode, bins, boxes); |
| fprintf (state->ostream, |
| "\n single.......iteration "); |
| fprintf (state->ostream, "accumulated......results \n"); |
| |
| fprintf (state->ostream, |
| "iteration integral sigma integral "); |
| fprintf (state->ostream, " sigma chi-sq/it\n\n"); |
| fflush (state->ostream); |
| |
| } |
| |
| static void |
| print_res (gsl_monte_vegas_state * state, |
| unsigned int itr, |
| double res, double err, |
| double cum_res, double cum_err, |
| double chi_sq) |
| { |
| fprintf (state->ostream, |
| "%4d %6.4e %10.2e %6.4e %8.2e %10.2e\n", |
| itr, res, err, cum_res, cum_err, chi_sq); |
| fflush (state->ostream); |
| } |
| |
| static void |
| print_dist (gsl_monte_vegas_state * state, unsigned long dim) |
| { |
| unsigned long i, j; |
| int p = state->verbose; |
| if (p < 1) |
| return; |
| |
| for (j = 0; j < dim; ++j) |
| { |
| fprintf (state->ostream, "\n axis %lu \n", j); |
| fprintf (state->ostream, " x g\n"); |
| for (i = 0; i < state->bins; i++) |
| { |
| fprintf (state->ostream, "weight [%11.2e , %11.2e] = ", |
| COORD (state, i, j), COORD(state,i+1,j)); |
| fprintf (state->ostream, " %11.2e\n", VALUE (state, i, j)); |
| |
| } |
| fprintf (state->ostream, "\n"); |
| } |
| fprintf (state->ostream, "\n"); |
| fflush (state->ostream); |
| |
| } |
| |
| static void |
| print_grid (gsl_monte_vegas_state * state, unsigned long dim) |
| { |
| unsigned long i, j; |
| int p = state->verbose; |
| if (p < 1) |
| return; |
| |
| for (j = 0; j < dim; ++j) |
| { |
| fprintf (state->ostream, "\n axis %lu \n", j); |
| fprintf (state->ostream, " x \n"); |
| for (i = 0; i <= state->bins; i++) |
| { |
| fprintf (state->ostream, "%11.2e", COORD (state, i, j)); |
| if (i % 5 == 4) |
| fprintf (state->ostream, "\n"); |
| } |
| fprintf (state->ostream, "\n"); |
| } |
| fprintf (state->ostream, "\n"); |
| fflush (state->ostream); |
| |
| } |
| |