/* mvm.c */ #include "../InpMtx.h" /*--------------------------------------------------------------------*/ /* ---------------------------------------- purpose -- to compute Y := Y + alpha*A*X created -- 98may02, cca ---------------------------------------- */ void InpMtx_nonsym_mmmVector ( InpMtx *A, double y[], double alpha[], double x[] ) { int nent ; int *ivec1, *ivec2 ; double *dvec ; /* --------------- check the input --------------- */ if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector(%p,%p,%p,%p)" "\n bad input\n", A, y, alpha, x) ; exit(-1) ; } if ( ! (INPMTX_IS_REAL_ENTRIES(A) || INPMTX_IS_COMPLEX_ENTRIES(A)) ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector(%p,%p,%p,%p)" "\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ; exit(-1) ; } /* -------------------------------- data is stored as triples (deal with vector storage later) -------------------------------- */ ivec1 = InpMtx_ivec1(A) ; ivec2 = InpMtx_ivec2(A) ; dvec = InpMtx_dvec(A) ; if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector(%p,%p,%p,%p)" "\n ivec1 %p, ivec2 %p, dvec %p\n", A, y, alpha, x, ivec1, ivec2, dvec) ; exit(-1) ; } nent = A->nent ; if ( INPMTX_IS_REAL_ENTRIES(A) ) { double rfac ; int chev, col, ii, jrhs, off, row ; rfac = alpha[0] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { row = ivec1[ii] ; col = ivec2[ii] ; y[row] += dvec[ii]*x[col] ; } } else { for ( ii = 0 ; ii < nent ; ii++ ) { row = ivec1[ii] ; col = ivec2[ii] ; y[row] += rfac * dvec[ii]*x[col] ; } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { col = ivec1[ii] ; row = ivec2[ii] ; y[row] += dvec[ii]*x[col] ; } } else { for ( ii = 0 ; ii < nent ; ii++ ) { col = ivec1[ii] ; row = ivec2[ii] ; y[row] += rfac * dvec[ii]*x[col] ; } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } y[row] += dvec[ii]*x[col] ; } } else { for ( ii = 0 ; ii < nent ; ii++ ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } y[row] += rfac * dvec[ii]*x[col] ; } } } } else if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) { double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ; int chev, col, ii, jj, jrhs, off, row ; rfac = alpha[0] ; ifac = alpha[1] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } } return ; } /*--------------------------------------------------------------------*/ /* ------------------------------------------ purpose -- to compute Y := Y + alpha*A^T*X created -- 98may28, cca ------------------------------------------ */ void InpMtx_nonsym_mmmVector_T ( InpMtx *A, double y[], double alpha[], double x[] ) { int nent ; int *ivec1, *ivec2 ; double *dvec ; /* --------------- check the input --------------- */ if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector_T(%p,%p,%p,%p)" "\n bad input\n", A, y, alpha, x) ; exit(-1) ; } if ( ! (INPMTX_IS_REAL_ENTRIES(A) || INPMTX_IS_COMPLEX_ENTRIES(A)) ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector_T(%p,%p,%p,%p)" "\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ; exit(-1) ; } /* -------------------------------- data is stored as triples (deal with vector storage later) -------------------------------- */ ivec1 = InpMtx_ivec1(A) ; ivec2 = InpMtx_ivec2(A) ; dvec = InpMtx_dvec(A) ; if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector_T(%p,%p,%p,%p)" "\n ivec1 %p, ivec2 %p, dvec %p\n", A, y, alpha, x, ivec1, ivec2, dvec) ; exit(-1) ; } nent = A->nent ; if ( INPMTX_IS_REAL_ENTRIES(A) ) { double rfac ; int chev, col, ii, jrhs, off, row ; rfac = alpha[0] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { row = ivec2[ii] ; col = ivec1[ii] ; y[row] += dvec[ii]*x[col] ; } } else { for ( ii = 0 ; ii < nent ; ii++ ) { row = ivec2[ii] ; col = ivec1[ii] ; y[row] += rfac * dvec[ii]*x[col] ; } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { col = ivec2[ii] ; row = ivec1[ii] ; y[row] += dvec[ii]*x[col] ; } } else { for ( ii = 0 ; ii < nent ; ii++ ) { col = ivec2[ii] ; row = ivec1[ii] ; y[row] += rfac * dvec[ii]*x[col] ; } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } y[row] += dvec[ii]*x[col] ; } } else { for ( ii = 0 ; ii < nent ; ii++ ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } y[row] += rfac * dvec[ii]*x[col] ; } } } } else if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) { double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ; int chev, col, ii, jj, jrhs, off, row ; rfac = alpha[0] ; ifac = alpha[1] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec2[ii] ; col = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec2[ii] ; col = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec2[ii] ; col = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec2[ii] ; row = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec2[ii] ; row = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec2[ii] ; row = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } } return ; } /*--------------------------------------------------------------------*/ /* ------------------------------------------ purpose -- to compute Y := Y + alpha*A^H*X created -- 98may28, cca ------------------------------------------ */ void InpMtx_nonsym_mmmVector_H ( InpMtx *A, double y[], double alpha[], double x[] ) { int nent ; int *ivec1, *ivec2 ; double *dvec ; /* --------------- check the input --------------- */ if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector_H(%p,%p,%p,%p)" "\n bad input\n", A, y, alpha, x) ; exit(-1) ; } if ( ! INPMTX_IS_COMPLEX_ENTRIES(A) ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector_H(%p,%p,%p,%p)" "\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ; exit(-1) ; } /* -------------------------------- data is stored as triples (deal with vector storage later) -------------------------------- */ ivec1 = InpMtx_ivec1(A) ; ivec2 = InpMtx_ivec2(A) ; dvec = InpMtx_dvec(A) ; if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_nonsym_mmmVector_H(%p,%p,%p,%p)" "\n ivec1 %p, ivec2 %p, dvec %p\n", A, y, alpha, x, ivec1, ivec2, dvec) ; exit(-1) ; } nent = A->nent ; if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) { double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ; int chev, col, ii, jj, jrhs, off, row ; rfac = alpha[0] ; ifac = alpha[1] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec2[ii] ; col = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal + aimag*ximag ; y[2*row+1] += areal*ximag - aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec2[ii] ; col = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal + aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag - aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec2[ii] ; col = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal + aimag*ximag ; t2 = areal*ximag - aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec2[ii] ; row = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal + aimag*ximag ; y[2*row+1] += areal*ximag - aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec2[ii] ; row = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal + aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag - aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec2[ii] ; row = ivec1[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal + aimag*ximag ; t2 = areal*ximag - aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal + aimag*ximag ; y[2*row+1] += areal*ximag - aimag*xreal ; } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal + aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag - aimag*xreal) ; } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { col = chev ; row = chev + off ; } else { row = chev ; col = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal + aimag*ximag ; t2 = areal*ximag - aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; } } } } return ; } /*--------------------------------------------------------------------*/ /* ---------------------------------------- purpose -- to compute Y := Y + alpha*A*X where A is symmetric created -- 98may02, cca ---------------------------------------- */ void InpMtx_sym_mmmVector ( InpMtx *A, double y[], double alpha[], double x[] ) { int nent ; int *ivec1, *ivec2 ; double *dvec ; /* --------------- check the input --------------- */ if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_sym_mmmVector(%p,%p,%p,%p)" "\n bad input\n", A, y, alpha, x) ; exit(-1) ; } if ( ! (INPMTX_IS_REAL_ENTRIES(A) || INPMTX_IS_COMPLEX_ENTRIES(A)) ) { fprintf(stderr, "\n fatal error in InpMtx_sym_mmmVector(%p,%p,%p,%p)" "\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ; exit(-1) ; } /* -------------------------------- data is stored as triples (deal with vector storage later) -------------------------------- */ ivec1 = InpMtx_ivec1(A) ; ivec2 = InpMtx_ivec2(A) ; dvec = InpMtx_dvec(A) ; if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_sym_mmmVector(%p,%p,%p,%p)" "\n ivec1 %p, ivec2 %p, dvec %p\n", A, y, alpha, x, ivec1, ivec2, dvec) ; exit(-1) ; } nent = A->nent ; if ( INPMTX_IS_REAL_ENTRIES(A) ) { double rfac ; int chev, col, ii, jrhs, off, row ; rfac = alpha[0] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { row = ivec1[ii] ; col = ivec2[ii] ; y[row] += dvec[ii]*x[col] ; if ( row != col ) { y[col] += dvec[ii]*x[row] ; } } } else { for ( ii = 0 ; ii < nent ; ii++ ) { row = ivec1[ii] ; col = ivec2[ii] ; y[row] += rfac * dvec[ii]*x[col] ; if ( row != col ) { y[col] += rfac * dvec[ii]*x[row] ; } } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { col = ivec1[ii] ; row = ivec2[ii] ; y[row] += dvec[ii]*x[col] ; if ( row != col ) { y[col] += dvec[ii]*x[row] ; } } } else { for ( ii = 0 ; ii < nent ; ii++ ) { col = ivec1[ii] ; row = ivec2[ii] ; y[row] += rfac * dvec[ii]*x[col] ; if ( row != col ) { y[col] += rfac * dvec[ii]*x[row] ; } } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 ) { for ( ii = 0 ; ii < nent ; ii++ ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } y[row] += dvec[ii]*x[col] ; if ( row != col ) { y[col] += dvec[ii]*x[row] ; } } } else { for ( ii = 0 ; ii < nent ; ii++ ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } y[row] += rfac * dvec[ii]*x[col] ; if ( row != col ) { y[col] += rfac * dvec[ii]*x[row] ; } } } } } else if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) { double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ; int chev, col, ii, jj, jrhs, off, row ; rfac = alpha[0] ; ifac = alpha[1] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += areal*xreal - aimag*ximag ; y[2*col+1] += areal*ximag + aimag*xreal ; } } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += rfac*(areal*xreal - aimag*ximag) ; y[2*col+1] += rfac*(areal*ximag + aimag*xreal) ; } } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*col] += rfac*t1 - ifac*t2 ; y[2*col+1] += rfac*t2 + ifac*t1 ; } } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += areal*xreal - aimag*ximag ; y[2*col+1] += areal*ximag + aimag*xreal ; } } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += rfac*(areal*xreal - aimag*ximag) ; y[2*col+1] += rfac*(areal*ximag + aimag*xreal) ; } } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*col] += rfac*t1 - ifac*t2 ; y[2*col+1] += rfac*t2 + ifac*t1 ; } } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += areal*xreal - aimag*ximag ; y[2*col+1] += areal*ximag + aimag*xreal ; } } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += rfac*(areal*xreal - aimag*ximag) ; y[2*col+1] += rfac*(areal*ximag + aimag*xreal) ; } } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*col] += rfac*t1 - ifac*t2 ; y[2*col+1] += rfac*t2 + ifac*t1 ; } } } } } return ; } /*--------------------------------------------------------------------*/ /* ---------------------------------------- purpose -- to compute Y := Y + alpha*A*X where A is hermitian created -- 98may02, cca ---------------------------------------- */ void InpMtx_herm_mmmVector ( InpMtx *A, double y[], double alpha[], double x[] ) { int nent ; int *ivec1, *ivec2 ; double *dvec ; /* --------------- check the input --------------- */ if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_herm_mmmVector(%p,%p,%p,%p)" "\n bad input\n", A, y, alpha, x) ; exit(-1) ; } if ( ! INPMTX_IS_COMPLEX_ENTRIES(A) ) { fprintf(stderr, "\n fatal error in InpMtx_herm_mmmVector(%p,%p,%p,%p)" "\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ; exit(-1) ; } /* -------------------------------- data is stored as triples (deal with vector storage later) -------------------------------- */ ivec1 = InpMtx_ivec1(A) ; ivec2 = InpMtx_ivec2(A) ; dvec = InpMtx_dvec(A) ; if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_herm_mmmVector(%p,%p,%p,%p)" "\n ivec1 %p, ivec2 %p, dvec %p\n", A, y, alpha, x, ivec1, ivec2, dvec) ; exit(-1) ; } nent = A->nent ; if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) { double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ; int chev, col, ii, jj, jrhs, off, row ; rfac = alpha[0] ; ifac = alpha[1] ; if ( INPMTX_IS_BY_ROWS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += areal*xreal + aimag*ximag ; y[2*col+1] += areal*ximag - aimag*xreal ; } } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += rfac*(areal*xreal + aimag*ximag) ; y[2*col+1] += rfac*(areal*ximag - aimag*xreal) ; } } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { row = ivec1[ii] ; col = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; t1 = areal*xreal + aimag*ximag ; t2 = areal*ximag - aimag*xreal ; y[2*col] += rfac*t1 - ifac*t2 ; y[2*col+1] += rfac*t2 + ifac*t1 ; } } } } else if ( INPMTX_IS_BY_COLUMNS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += areal*xreal + aimag*ximag ; y[2*col+1] += areal*ximag - aimag*xreal ; } } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += rfac*(areal*xreal + aimag*ximag) ; y[2*col+1] += rfac*(areal*ximag - aimag*xreal) ; } } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { col = ivec1[ii] ; row = ivec2[ii] ; areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; t1 = areal*xreal + aimag*ximag ; t2 = areal*ximag - aimag*xreal ; y[2*col] += rfac*t1 - ifac*t2 ; y[2*col+1] += rfac*t2 + ifac*t1 ; } } } } else if ( INPMTX_IS_BY_CHEVRONS(A) ) { if ( rfac == 1.0 && ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += areal*xreal - aimag*ximag ; y[2*row+1] += areal*ximag + aimag*xreal ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += areal*xreal + aimag*ximag ; y[2*col+1] += areal*ximag - aimag*xreal ; } } } else if ( ifac == 0.0 ) { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; y[2*row] += rfac*(areal*xreal - aimag*ximag) ; y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; y[2*col] += rfac*(areal*xreal + aimag*ximag) ; y[2*col+1] += rfac*(areal*ximag - aimag*xreal) ; } } } else { for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) { chev = ivec1[ii] ; off = ivec2[ii] ; if ( off >= 0 ) { row = chev ; col = chev + off ; } else { col = chev ; row = chev - off ; } areal = dvec[jj] ; aimag = dvec[jj+1] ; xreal = x[2*col] ; ximag = x[2*col+1] ; t1 = areal*xreal - aimag*ximag ; t2 = areal*ximag + aimag*xreal ; y[2*row] += rfac*t1 - ifac*t2 ; y[2*row+1] += rfac*t2 + ifac*t1 ; if ( row != col ) { xreal = x[2*row] ; ximag = x[2*row+1] ; t1 = areal*xreal + aimag*ximag ; t2 = areal*ximag - aimag*xreal ; y[2*col] += rfac*t1 - ifac*t2 ; y[2*col+1] += rfac*t2 + ifac*t1 ; } } } } } return ; } /*--------------------------------------------------------------------*/