📄 hess2eps.c
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///////////////////////////////////////////////////////////////////////////////////// //// Visualization of the nonzero pattern of JtJ in EPS format.//// This is part of the sba package,//// Copyright (C) 2004 Manolis Lourakis (lourakis@ics.forth.gr)//// Institute of Computer Science, Foundation for Research & Technology - Hellas//// Heraklion, Crete, Greece.//////// 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.///////////////////////////////////////////////////////////////////////////////////////#include <stdio.h>#include <stdlib.h>#include <math.h>#include <time.h>#include "sba.h"#if 0#define HORZ_OFFSET 3 // horizontal offset from left edge of paper in PostScript points (~ 1 mm)#define VERT_OFFSET 6 // vertical offset from lower edge of paper in PostScript points (~ 2 mm)#else#define HORZ_OFFSET 0#define VERT_OFFSET 0#endif#define A4_WIDTH 595 // A4 paper width in PostScript points (210 mm, 1 pt = 25.4/72 mm)//#define A4_HEIGHT 842 // A4 paper height in PostScript points (297 mm)/* 1.1x1.1 looks better than 1.0x1.0 */#define DOT_WIDTH 1.1#define DOT_HEIGHT 1.1/* saves the nonzero pattern of JtJ in EPS format. If mcon!=0, then all U_j and W_ij with j<mcon * are assumed to be zero and are therefore clipped off. */void sba_hessian2eps(int n, int m, int mcon, int cnp, int pnp, struct sba_crsm *idxij, int *rcidxs, int *rcsubs, double *U, double *V, double *W, char *fname){register int i, j, ii, jj;int i0, j0;int mmcon, nvars, Usz, Vsz, Wsz, nnz, bbox=1, denseblocks=0;register double *ptr1, *ptr2;FILE *fp;time_t tim; mmcon=m-mcon; nvars=mmcon*cnp + n*pnp; Usz=cnp * cnp; Vsz=pnp * pnp; Wsz=cnp * pnp; if((fp=fopen(fname, "w"))==NULL){ fprintf(stderr, "JtJ2EPS(): failed to open file %s for writing\n", fname); exit(1); } /* print EPS preamble */ time(&tim); fprintf(fp, "%%!PS-Adobe-2.0 EPSF-2.0\n%%%%Title: %s\n%%%%Creator: sba ver. %s\n", fname, SBA_VERSION); fprintf(fp, "%%%%CreationDate: %s", ctime(&tim)); fprintf(fp, "%%%%BoundingBox: 0 0 %d %d\n%%%%Magnification: 1.0000\n%%%%Page: 1 1\n%%%%EndComments\n\n", A4_WIDTH, A4_WIDTH+VERT_OFFSET); fprintf(fp, "/origstate save def\ngsave\n0 setgray\n"); if(bbox) fprintf(fp, "0 0 %d %d rectstroke\n", A4_WIDTH, A4_WIDTH+VERT_OFFSET); /* move the coordinate system to the upper left corner with axes pointing as shown below: * +------> y * | * | * | * v x */ fprintf(fp, "%d %d translate\n-90 rotate\n", HORZ_OFFSET, A4_WIDTH+VERT_OFFSET); /* scale the coordinate system so that the hessian pattern fits in the narrowest page dimension */ fprintf(fp, "%.4lf %.4lf scale\n", ((double)(A4_WIDTH-HORZ_OFFSET))/nvars, ((double)(A4_WIDTH-HORZ_OFFSET))/nvars); /* define dot dimensions */ fprintf(fp, "/w %g def\n/h %g def\n", DOT_WIDTH, DOT_HEIGHT); /* define shorthand for rectfill */ fprintf(fp, "/R { rectfill } bind def\n\n"); /* process block row j: [0, ..., 0, U_j, 0, ..., 0, W1j, ..., Wnj] */ for(j=mcon; j<m; ++j){ ptr1=U + j*Usz; // set ptr1 to point to U_j nnz=sba_crsm_col_elmidxs(idxij, j, rcidxs, rcsubs); /* find nonzero W_ij, i=0...n-1 */ i0=(j-mcon)*cnp; for(ii=0; ii<cnp; ++ii){ j0=(j-mcon)*cnp; for(jj=0; jj<cnp; ++jj){ // row ii of U_j if(denseblocks || (!denseblocks && ptr1[ii*cnp+jj]!=0.0)) fprintf(fp, "%d %d w h R\n", i0+ii, j0+jj); } for(i=0; i<nnz; ++i){ /* set ptr2 to point to W_ij, actual row number in rcsubs[i] */ ptr2=W + idxij->val[rcidxs[i]]*Wsz; j0=mmcon*cnp+rcsubs[i]*pnp; for(jj=0; jj<pnp; ++jj){ // row ii of W_ij if(denseblocks || (!denseblocks && ptr2[ii*pnp+jj]!=0.0)) fprintf(fp, "%d %d w h R\n", i0+ii, j0+jj); } } } } /* process block row mmcon+i: [W_i1^T, ..., W_im^T, 0, ..., 0, V_i, 0, ..., 0] */ for(i=0; i<n; ++i){ nnz=sba_crsm_row_elmidxs(idxij, i, rcidxs, rcsubs); /* find nonzero W_ij, j=0...m-1 */ ptr1=V + i*Vsz; // set ptr1 to point to V_i i0=cnp*mmcon+i*pnp; for(ii=0; ii<pnp; ++ii){ for(j=0; j<nnz; ++j){ /* set ptr2 to point to W_ij, actual column number in rcsubs[j] */ if(rcsubs[j]<mcon) continue; /* W_ij is zero */ ptr2=W + idxij->val[rcidxs[j]]*Wsz; j0=(rcsubs[j]-mcon)*cnp; for(jj=0; jj<cnp; ++jj){ // row ii of W_ij^T if(denseblocks || (!denseblocks && ptr2[jj*pnp+ii]!=0.0)) fprintf(fp, "%d %d w h R\n", i0+ii, j0+jj); } } j0=cnp*mmcon+i*pnp; for(jj=0; jj<pnp; ++jj){ // row ii of V_i if(denseblocks || (!denseblocks && ptr1[ii*pnp+jj]!=0.0)) fprintf(fp, "%d %d w h R\n", i0+ii, j0+jj); } } } fprintf(fp, "grestore\norigstate restore\n\n%%%%Trailer"); fclose(fp);}
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