/* A more readable lp-format report of the model; antiquated and not updated */ void REPORT_lp(lprec *lp) { int i, j; if(lp->outstream == NULL) return; fprintf(lp->outstream, "Model name: %s\n", get_lp_name(lp)); fprintf(lp->outstream, " "); for(j = 1; j <= lp->columns; j++) fprintf(lp->outstream, "%8s ", get_col_name(lp,j)); fprintf(lp->outstream, "\n%simize ", (is_maxim(lp) ? "Max" : "Min")); for(j = 1; j <= lp->columns; j++) fprintf(lp->outstream, "%8g ", get_mat(lp, 0, j)); fprintf(lp->outstream, "\n"); for(i = 1; i <= lp->rows; i++) { fprintf(lp->outstream, "%-9s ", get_row_name(lp, i)); for(j = 1; j <= lp->columns; j++) fprintf(lp->outstream, "%8g ", get_mat(lp, i, j)); if(is_constr_type(lp, i, GE)) fprintf(lp->outstream, ">= "); else if(is_constr_type(lp, i, LE)) fprintf(lp->outstream, "<= "); else fprintf(lp->outstream, " = "); fprintf(lp->outstream, "%8g", get_rh(lp, i)); if(is_constr_type(lp, i, GE)) { if(get_rh_upper(lp, i) < lp->infinite) fprintf(lp->outstream, " %s = %8g", "upbo", get_rh_upper(lp, i)); } else if(is_constr_type(lp, i, LE)) { if(get_rh_lower(lp, i) > -lp->infinite) fprintf(lp->outstream, " %s = %8g", "lowbo", get_rh_lower(lp, i)); } fprintf(lp->outstream, "\n"); } fprintf(lp->outstream, "Type "); for(i = 1; i <= lp->columns; i++) { if(is_int(lp,i)) fprintf(lp->outstream, " Int "); else fprintf(lp->outstream, " Real "); } fprintf(lp->outstream, "\nupbo "); for(i = 1; i <= lp->columns; i++) if(get_upbo(lp, i) >= lp->infinite) fprintf(lp->outstream, " Inf "); else fprintf(lp->outstream, "%8g ", get_upbo(lp, i)); fprintf(lp->outstream, "\nlowbo "); for(i = 1; i <= lp->columns; i++) if(get_lowbo(lp, i) <= -lp->infinite) fprintf(lp->outstream, " -Inf "); else fprintf(lp->outstream, "%8g ", get_lowbo(lp, i)); fprintf(lp->outstream, "\n"); fflush(lp->outstream); }
MYBOOL __WINAPI guess_basis(lprec *lp, REAL *guessvector, int *basisvector) { MYBOOL *isnz, status = FALSE; REAL *values = NULL, *violation = NULL, eps = lp->epsprimal, *value, error, upB, loB, sortorder = 1.0; int i, j, jj, n, *rownr, *colnr, *slkpos, nrows = lp->rows, ncols = lp->columns; MATrec *mat = lp->matA; if(!mat_validate(mat)) return( status ); /* Create helper arrays */ if(!allocREAL(lp, &values, lp->sum+1, TRUE) || !allocREAL(lp, &violation, lp->sum+1, TRUE)) goto Finish; /* Compute values of slack variables for given guess vector */ i = 0; n = get_nonzeros(lp); rownr = &COL_MAT_ROWNR(i); colnr = &COL_MAT_COLNR(i); value = &COL_MAT_VALUE(i); for(; i < n; i++, rownr += matRowColStep, colnr += matRowColStep, value += matValueStep) values[*rownr] += unscaled_mat(lp, my_chsign(is_chsign(lp, *rownr), *value), *rownr, *colnr) * guessvector[*colnr]; MEMMOVE(values+nrows+1, guessvector+1, ncols); /* Initialize constraint bound violation measures (expressed as positive values) */ for(i = 1; i <= nrows; i++) { upB = get_rh_upper(lp, i); loB = get_rh_lower(lp, i); error = values[i] - upB; if(error > -eps) violation[i] = sortorder*MAX(0,error); else { error = loB - values[i]; if(error > -eps) violation[i] = sortorder*MAX(0,error); else if(my_infinite(lp, loB) && my_infinite(lp, upB)) ; else if(my_infinite(lp, upB)) violation[i] = sortorder*(loB - values[i]); else if(my_infinite(lp, loB)) violation[i] = sortorder*(values[i] - upB); else violation[i] = -sortorder*MAX(upB - values[i], values[i] - loB); } basisvector[i] = i; } /* Initialize user variable bound violation measures (expressed as positive values) */ for(i = 1; i <= ncols; i++) { n = nrows+i; upB = get_upbo(lp, i); loB = get_lowbo(lp, i); error = guessvector[i] - upB; if(error > -eps) violation[n] = sortorder*MAX(0,error); else { error = loB - values[n]; if(error > -eps) violation[n] = sortorder*MAX(0,error); else if(my_infinite(lp, loB) && my_infinite(lp, upB)) ; else if(my_infinite(lp, upB)) violation[n] = sortorder*(loB - values[n]); else if(my_infinite(lp, loB)) violation[n] = sortorder*(values[n] - upB); else violation[n] = -sortorder*MAX(upB - values[n], values[n] - loB); } basisvector[n] = n; } /* Sort decending by violation; this means that variables with the largest violations will be designated as basic */ sortByREAL(basisvector, violation, lp->sum, 1, FALSE); error = violation[1]; /* Adjust the non-basic indeces for the (proximal) bound state */ for(i = nrows+1, rownr = basisvector+i; i <= lp->sum; i++, rownr++) { if(*rownr <= nrows) { values[*rownr] -= lp->orig_rhs[*rownr]; if(values[*rownr] <= eps) *rownr = -(*rownr); } else if(values[i] <= get_lowbo(lp, (*rownr)-nrows)+eps) *rownr = -(*rownr); } /* Let us check for obvious row singularities and try to fix these; First assemble necessary basis statistics... */ isnz = (MYBOOL *) values; MEMCLEAR(isnz, nrows+1); slkpos = (int *) violation; MEMCLEAR(slkpos, nrows+1); for(i = 1; i <= nrows; i++) { j = abs(basisvector[i]); if(j <= nrows) { isnz[j] = TRUE; slkpos[j] = i; } else { j-= nrows; jj = mat->col_end[j-1]; isnz[COL_MAT_ROWNR(jj)] = TRUE; /* if(++jj < mat->col_end[j]) isnz[COL_MAT_ROWNR(jj)] = TRUE; */ } } for(; i <= lp->sum; i++) { j = abs(basisvector[i]); if(j <= nrows) slkpos[j] = i; } /* ...then set the corresponding slacks basic for row rank deficient positions */ for(j = 1; j <= nrows; j++) { #ifdef Paranoia if(slkpos[j] == 0) report(lp, SEVERE, "guess_basis: Internal error"); #endif if(!isnz[j]) { isnz[j] = TRUE; i = slkpos[j]; swapINT(&basisvector[i], &basisvector[j]); basisvector[j] = abs(basisvector[j]); } } /* Lastly normalize all basic variables to be coded as lower-bounded */ for(i = 1; i <= nrows; i++) basisvector[i] = -abs(basisvector[i]); /* Clean up and return status */ status = (MYBOOL) (error <= eps); Finish: FREE(values); FREE(violation); return( status ); }
MYBOOL __WINAPI guess_basis(lprec *lp, REAL *guessvector, int *basisvector) { MYBOOL *isnz = NULL, status = FALSE; REAL *values = NULL, *violation = NULL, eps = lp->epsprimal, *value, error, upB, loB, sortorder = -1.0; int i, j, jj, n, *rownr, *colnr, *slkpos = NULL, nrows = lp->rows, ncols = lp->columns, nsum = lp->sum; int *basisnr; MATrec *mat = lp->matA; if(!mat_validate(mat)) return( status ); /* Create helper arrays, providing for multiple use of the violation array */ if(!allocREAL(lp, &values, nsum+1, TRUE) || !allocREAL(lp, &violation, nsum+1, TRUE)) goto Finish; /* Compute the values of the constraints for the given guess vector */ i = 0; n = get_nonzeros(lp); rownr = &COL_MAT_ROWNR(i); colnr = &COL_MAT_COLNR(i); value = &COL_MAT_VALUE(i); for(; i < n; i++, rownr += matRowColStep, colnr += matRowColStep, value += matValueStep) values[*rownr] += unscaled_mat(lp, my_chsign(is_chsign(lp, *rownr), *value), *rownr, *colnr) * guessvector[*colnr]; MEMMOVE(values+nrows+1, guessvector+1, ncols); /* Initialize bound "violation" or primal non-degeneracy measures, expressed as the absolute value of the differences from the closest bound. */ for(i = 1; i <= nsum; i++) { if(i <= nrows) { loB = get_rh_lower(lp, i); upB = get_rh_upper(lp, i); } else { loB = get_lowbo(lp, i-nrows); upB = get_upbo(lp, i-nrows); } /* Free constraints/variables */ if(my_infinite(lp, loB) && my_infinite(lp, upB)) error = 0; /* Violated constraints/variable bounds */ else if(values[i]+eps < loB) error = loB-values[i]; else if(values[i]-eps > upB) error = values[i]-upB; /* Non-violated constraints/variables bounds */ else if(my_infinite(lp, upB)) error = MAX(0, values[i]-loB); else if(my_infinite(lp, loB)) error = MAX(0, upB-values[i]); else error = MIN(upB-values[i], values[i]-loB); /* MAX(upB-values[i], values[i]-loB); */ if(error != 0) violation[i] = sortorder*error; basisvector[i] = i; } /* Sort decending , meaning that variables with the largest "violations" will be designated basic. Effectively, we are performing a greedy type algorithm, but start at the "least interesting" end. */ sortByREAL(basisvector, violation, nsum, 1, FALSE); error = violation[1]; /* Used for setting the return value */ /* Let us check for obvious row singularities and try to fix these. Note that we reuse the memory allocated to the violation array. First assemble necessary basis statistics... */ slkpos = (int *) violation; n = nrows+1; MEMCLEAR(slkpos, n); isnz = (MYBOOL *) (slkpos+n+1); MEMCLEAR(isnz, n); for(i = 1; i <= nrows; i++) { j = abs(basisvector[i]); if(j <= nrows) { isnz[j] = TRUE; slkpos[j] = i; } else { j-= nrows; jj = mat->col_end[j-1]; jj = COL_MAT_ROWNR(jj); isnz[jj] = TRUE; } } for(; i <= nsum; i++) { j = abs(basisvector[i]); if(j <= nrows) slkpos[j] = i; } /* ...then set the corresponding slacks basic for row rank deficient positions */ for(j = 1; j <= nrows; j++) { if(slkpos[j] == 0) report(lp, SEVERE, "guess_basis: Internal error"); if(!isnz[j]) { isnz[j] = TRUE; i = slkpos[j]; swapINT(&basisvector[i], &basisvector[j]); basisvector[j] = abs(basisvector[j]); } } /* Adjust the non-basic indeces for the (proximal) bound state */ for(i = nrows+1, basisnr = basisvector+i; i <= nsum; i++, basisnr++) { n = *basisnr; if(n <= nrows) { values[n] -= get_rh_lower(lp, n); if(values[n] <= eps) *basisnr = -(*basisnr); } else if(values[n]-eps <= get_lowbo(lp, n-nrows)) *basisnr = -(*basisnr); } /* Lastly normalize all basic variables to be coded as lower-bounded, or effectively zero-based in the case of free variables. */ for(i = 1; i <= nrows; i++) basisvector[i] = -abs(basisvector[i]); /* Clean up and return status */ status = (MYBOOL) (error <= eps); Finish: FREE(values); FREE(violation); return( status ); }
MYBOOL __WINAPI guess_basis(lprec *lp, REAL *guessvector, int *basisvector) { MYBOOL status = FALSE; REAL *values = NULL, *violation = NULL, *value, error, upB, loB, sortorder = 1.0; int i, n, *rownr, *colnr; MATrec *mat = lp->matA; if(!mat_validate(lp->matA)) return( status ); /* Create helper arrays */ if(!allocREAL(lp, &values, lp->sum+1, TRUE) || !allocREAL(lp, &violation, lp->sum+1, TRUE)) goto Finish; /* Compute values of slack variables for given guess vector */ i = 0; n = get_nonzeros(lp); rownr = &COL_MAT_ROWNR(i); colnr = &COL_MAT_COLNR(i); value = &COL_MAT_VALUE(i); for(; i < n; i++, rownr += matRowColStep, colnr += matRowColStep, value += matValueStep) values[*rownr] += unscaled_mat(lp, my_chsign(is_chsign(lp, *rownr), *value), *rownr, *colnr) * guessvector[*colnr]; MEMMOVE(values+lp->rows+1, guessvector+1, lp->columns); /* Initialize constraint bound violation measures */ for(i = 1; i <= lp->rows; i++) { upB = get_rh_upper(lp, i); loB = get_rh_lower(lp, i); error = values[i] - upB; if(error > lp->epsprimal) violation[i] = sortorder*error; else { error = loB - values[i]; if(error > lp->epsprimal) violation[i] = sortorder*error; else if(is_infinite(lp, loB) && is_infinite(lp, upB)) ; else if(is_infinite(lp, upB)) violation[i] = sortorder*(loB - values[i]); else if(is_infinite(lp, loB)) violation[i] = sortorder*(values[i] - upB); else violation[i] = - sortorder*MAX(upB - values[i], values[i] - loB); } basisvector[i] = i; } /* Initialize user variable bound violation measures */ for(i = 1; i <= lp->columns; i++) { n = lp->rows+i; upB = get_upbo(lp, i); loB = get_lowbo(lp, i); error = guessvector[i] - upB; if(error > lp->epsprimal) violation[n] = sortorder*error; else { error = loB - values[n]; if(error > lp->epsprimal) violation[n] = sortorder*error; else if(is_infinite(lp, loB) && is_infinite(lp, upB)) ; else if(is_infinite(lp, upB)) violation[n] = sortorder*(loB - values[n]); else if(is_infinite(lp, loB)) violation[n] = sortorder*(values[n] - upB); else violation[n] = - sortorder*MAX(upB - values[n], values[n] - loB); } basisvector[n] = n; } /* Sort decending by violation; this means that variables with the largest violations will be designated as basic */ sortByREAL(basisvector, violation, lp->sum, 1, FALSE); /* Adjust the non-basic indeces for the (proximal) bound state */ error = lp->epsprimal; for(i = lp->rows+1, rownr = basisvector+i; i <= lp->sum; i++, rownr++) { if(*rownr <= lp->rows) { if(values[*rownr] <= get_rh_lower(lp, *rownr)+error) *rownr = -(*rownr); } else if(values[i] <= get_lowbo(lp, (*rownr)-lp->rows)+error) *rownr = -(*rownr); } /* Clean up and return status */ status = (MYBOOL) (violation[1] == 0); Finish: FREE(values); FREE(violation); return( status ); }