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#ifndef lint |
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static char SCCSid[] = "$SunId$ LBL"; |
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static const char RCSid[] = "$Id$"; |
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#endif |
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/* Copyright (c) 1989 Regents of the University of California */ |
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/* |
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* gensurf.c - program to generate functional surfaces |
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* |
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* rule applied to (s,t). |
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* |
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* 4/3/87 |
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* |
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* 4/16/02 Added conditional vertex output |
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*/ |
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#include "standard.h" |
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char XNAME[] = "X`SYS`"; /* x function name */ |
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char YNAME[] = "Y`SYS`"; /* y function name */ |
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char ZNAME[] = "Z`SYS`"; /* z function name */ |
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char XNAME[] = "X`SYS"; /* x function name */ |
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char YNAME[] = "Y`SYS"; /* y function name */ |
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char ZNAME[] = "Z`SYS"; /* z function name */ |
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char VNAME[] = "valid"; /* valid vertex name */ |
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#define ABS(x) ((x)>=0 ? (x) : -(x)) |
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#define pvect(p) printf(vformat, (p)[0], (p)[1], (p)[2]) |
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extern double funvalue(), argument(); |
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typedef struct { |
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int valid; /* point is valid */ |
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FVECT p; /* vertex position */ |
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FVECT n; /* average normal */ |
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} POINT; |
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compnorms(row0, row1, row2, n); |
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for (j = 0; j < n; j++) { |
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int orient = (j & 1); |
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/* put polygons */ |
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if ((i+j) & 1) |
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if (!(row0[j].valid & row1[j+1].valid)) |
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orient = 1; |
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else if (!(row1[j].valid & row0[j+1].valid)) |
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orient = 0; |
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if (orient) |
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putsquare(&row0[j], &row1[j], |
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&row0[j+1], &row1[j+1]); |
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else |
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int m, n; |
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int pointsize; |
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{ |
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extern char *fgetword(); |
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FILE *fp; |
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char word[64]; |
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register int size; |
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FVECT v1, v2, vc1, vc2; |
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int ok1, ok2; |
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/* compute exact normals */ |
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fvsum(v1, p1->p, p0->p, -1.0); |
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fvsum(v2, p2->p, p0->p, -1.0); |
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fcross(vc1, v1, v2); |
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ok1 = normalize(vc1) != 0.0; |
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fvsum(v1, p2->p, p3->p, -1.0); |
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fvsum(v2, p1->p, p3->p, -1.0); |
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fcross(vc2, v1, v2); |
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ok2 = normalize(vc2) != 0.0; |
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ok1 = (p0->valid & p1->valid & p2->valid); |
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if (ok1) { |
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fvsum(v1, p1->p, p0->p, -1.0); |
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fvsum(v2, p2->p, p0->p, -1.0); |
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fcross(vc1, v1, v2); |
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ok1 = (normalize(vc1) != 0.0); |
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} |
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ok2 = (p1->valid & p2->valid & p3->valid); |
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if (ok2) { |
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fvsum(v1, p2->p, p3->p, -1.0); |
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fvsum(v2, p1->p, p3->p, -1.0); |
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fcross(vc2, v1, v2); |
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ok2 = (normalize(vc2) != 0.0); |
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} |
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if (!(ok1 | ok2)) |
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return; |
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/* compute normal interpolation */ |
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{ |
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double st[2]; |
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int end; |
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int checkvalid; |
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register int i; |
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if (smooth) { |
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end = siz; |
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} |
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st[0] = s; |
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checkvalid = (fundefined(VNAME) == 2); |
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while (i <= end) { |
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st[1] = (double)i/siz; |
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row[i].p[0] = funvalue(XNAME, 2, st); |
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row[i].p[1] = funvalue(YNAME, 2, st); |
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row[i].p[2] = funvalue(ZNAME, 2, st); |
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if (checkvalid && funvalue(VNAME, 2, st) <= 0.0) { |
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row[i].valid = 0; |
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row[i].p[0] = row[i].p[1] = row[i].p[2] = 0.0; |
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} else { |
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row[i].valid = 1; |
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row[i].p[0] = funvalue(XNAME, 2, st); |
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row[i].p[1] = funvalue(YNAME, 2, st); |
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row[i].p[2] = funvalue(ZNAME, 2, st); |
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} |
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i++; |
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} |
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} |
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if (!smooth) /* not needed if no smoothing */ |
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return; |
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/* compute middle points */ |
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/* compute row 1 normals */ |
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while (siz-- >= 0) { |
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fvsum(v1, r2[0].p, r0[0].p, -1.0); |
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fvsum(v2, r1[1].p, r1[-1].p, -1.0); |
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if (!r1[0].valid) |
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continue; |
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if (!r0[0].valid) { |
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if (!r2[0].valid) { |
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r1[0].n[0] = r1[0].n[1] = r1[0].n[2] = 0.0; |
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continue; |
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} |
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fvsum(v1, r2[0].p, r1[0].p, -1.0); |
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} else if (!r2[0].valid) |
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fvsum(v1, r1[0].p, r0[0].p, -1.0); |
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else |
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fvsum(v1, r2[0].p, r0[0].p, -1.0); |
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if (!r1[-1].valid) { |
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if (!r1[1].valid) { |
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r1[0].n[0] = r1[0].n[1] = r1[0].n[2] = 0.0; |
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continue; |
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} |
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fvsum(v2, r1[1].p, r1[0].p, -1.0); |
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} else if (!r1[1].valid) |
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fvsum(v2, r1[0].p, r1[-1].p, -1.0); |
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else |
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fvsum(v2, r1[1].p, r1[-1].p, -1.0); |
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fcross(r1[0].n, v1, v2); |
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normalize(r1[0].n); |
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r0++; r1++; r2++; |
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eqnmat[3][2] = p3->p[v]; |
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eqnmat[3][3] = 1.0; |
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/* invert matrix (solve system) */ |
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if (!invmat(eqnmat, eqnmat)) |
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if (!invmat4(eqnmat, eqnmat)) |
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return(-1); /* no solution */ |
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/* compute result matrix */ |
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for (j = 0; j < 4; j++) |
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} |
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/* |
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* invmat - computes the inverse of mat into inverse. Returns 1 |
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* if there exists an inverse, 0 otherwise. It uses Gaussian Elimination |
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* method. |
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*/ |
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invmat(inverse,mat) |
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MAT4 inverse, mat; |
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{ |
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#define SWAP(a,b,t) (t=a,a=b,b=t) |
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|
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MAT4 m4tmp; |
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register int i,j,k; |
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register double temp; |
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copymat4(m4tmp, mat); |
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/* set inverse to identity */ |
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for (i = 0; i < 4; i++) |
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for (j = 0; j < 4; j++) |
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inverse[i][j] = i==j ? 1.0 : 0.0; |
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|
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for(i = 0; i < 4; i++) { |
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/* Look for row with largest pivot and swap rows */ |
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temp = FTINY; j = -1; |
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for(k = i; k < 4; k++) |
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if(ABS(m4tmp[k][i]) > temp) { |
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temp = ABS(m4tmp[k][i]); |
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j = k; |
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} |
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if(j == -1) /* No replacing row -> no inverse */ |
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return(0); |
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if (j != i) |
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for(k = 0; k < 4; k++) { |
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SWAP(m4tmp[i][k],m4tmp[j][k],temp); |
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SWAP(inverse[i][k],inverse[j][k],temp); |
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} |
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temp = m4tmp[i][i]; |
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for(k = 0; k < 4; k++) { |
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m4tmp[i][k] /= temp; |
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inverse[i][k] /= temp; |
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} |
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for(j = 0; j < 4; j++) { |
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if(j != i) { |
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temp = m4tmp[j][i]; |
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for(k = 0; k < 4; k++) { |
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m4tmp[j][k] -= m4tmp[i][k]*temp; |
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inverse[j][k] -= inverse[i][k]*temp; |
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} |
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} |
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} |
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} |
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return(1); |
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#undef SWAP |
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} |
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void |
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eputs(msg) |
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char *msg; |
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{ |
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} |
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void |
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wputs(msg) |
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char *msg; |
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{ |
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} |
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void |
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quit(code) |
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int code; |
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{ |