407 lines
19 KiB
C++
407 lines
19 KiB
C++
#ifdef __cplusplus
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extern "C" {
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#endif
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#include "lmp_f2c.h"
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int zher2k_(char *uplo, char *trans, integer *n, integer *k, doublecomplex *alpha, doublecomplex *a,
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integer *lda, doublecomplex *b, integer *ldb, doublereal *beta, doublecomplex *c__,
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integer *ldc, ftnlen uplo_len, ftnlen trans_len)
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{
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integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2, i__3, i__4, i__5,
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i__6, i__7;
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doublereal d__1;
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doublecomplex z__1, z__2, z__3, z__4, z__5, z__6;
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void d_lmp_cnjg(doublecomplex *, doublecomplex *);
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integer i__, j, l, info;
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doublecomplex temp1, temp2;
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extern logical lsame_(char *, char *, ftnlen, ftnlen);
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integer nrowa;
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logical upper;
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extern int xerbla_(char *, integer *, ftnlen);
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a_dim1 = *lda;
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a_offset = 1 + a_dim1;
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a -= a_offset;
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b_dim1 = *ldb;
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b_offset = 1 + b_dim1;
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b -= b_offset;
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c_dim1 = *ldc;
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c_offset = 1 + c_dim1;
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c__ -= c_offset;
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if (lsame_(trans, (char *)"N", (ftnlen)1, (ftnlen)1)) {
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nrowa = *n;
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} else {
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nrowa = *k;
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}
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upper = lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1);
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info = 0;
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if (!upper && !lsame_(uplo, (char *)"L", (ftnlen)1, (ftnlen)1)) {
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info = 1;
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} else if (!lsame_(trans, (char *)"N", (ftnlen)1, (ftnlen)1) &&
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!lsame_(trans, (char *)"C", (ftnlen)1, (ftnlen)1)) {
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info = 2;
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} else if (*n < 0) {
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info = 3;
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} else if (*k < 0) {
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info = 4;
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} else if (*lda < max(1, nrowa)) {
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info = 7;
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} else if (*ldb < max(1, nrowa)) {
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info = 9;
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} else if (*ldc < max(1, *n)) {
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info = 12;
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}
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if (info != 0) {
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xerbla_((char *)"ZHER2K", &info, (ftnlen)6);
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return 0;
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}
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if (*n == 0 || (alpha->r == 0. && alpha->i == 0. || *k == 0) && *beta == 1.) {
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return 0;
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}
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if (alpha->r == 0. && alpha->i == 0.) {
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if (upper) {
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if (*beta == 0.) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = j;
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for (i__ = 1; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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c__[i__3].r = 0., c__[i__3].i = 0.;
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}
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}
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} else {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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i__4 = i__ + j * c_dim1;
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z__1.r = *beta * c__[i__4].r, z__1.i = *beta * c__[i__4].i;
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c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
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}
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i__2 = j + j * c_dim1;
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i__3 = j + j * c_dim1;
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d__1 = *beta * c__[i__3].r;
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c__[i__2].r = d__1, c__[i__2].i = 0.;
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}
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}
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} else {
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if (*beta == 0.) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *n;
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for (i__ = j; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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c__[i__3].r = 0., c__[i__3].i = 0.;
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}
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}
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} else {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = j + j * c_dim1;
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i__3 = j + j * c_dim1;
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d__1 = *beta * c__[i__3].r;
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c__[i__2].r = d__1, c__[i__2].i = 0.;
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i__2 = *n;
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for (i__ = j + 1; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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i__4 = i__ + j * c_dim1;
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z__1.r = *beta * c__[i__4].r, z__1.i = *beta * c__[i__4].i;
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c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
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}
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}
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}
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}
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return 0;
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}
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if (lsame_(trans, (char *)"N", (ftnlen)1, (ftnlen)1)) {
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if (upper) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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if (*beta == 0.) {
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i__2 = j;
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for (i__ = 1; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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c__[i__3].r = 0., c__[i__3].i = 0.;
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}
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} else if (*beta != 1.) {
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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i__4 = i__ + j * c_dim1;
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z__1.r = *beta * c__[i__4].r, z__1.i = *beta * c__[i__4].i;
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c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
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}
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i__2 = j + j * c_dim1;
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i__3 = j + j * c_dim1;
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d__1 = *beta * c__[i__3].r;
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c__[i__2].r = d__1, c__[i__2].i = 0.;
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} else {
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i__2 = j + j * c_dim1;
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i__3 = j + j * c_dim1;
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d__1 = c__[i__3].r;
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c__[i__2].r = d__1, c__[i__2].i = 0.;
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}
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i__2 = *k;
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for (l = 1; l <= i__2; ++l) {
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i__3 = j + l * a_dim1;
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i__4 = j + l * b_dim1;
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if (a[i__3].r != 0. || a[i__3].i != 0. ||
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(b[i__4].r != 0. || b[i__4].i != 0.)) {
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d_lmp_cnjg(&z__2, &b[j + l * b_dim1]);
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z__1.r = alpha->r * z__2.r - alpha->i * z__2.i,
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z__1.i = alpha->r * z__2.i + alpha->i * z__2.r;
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temp1.r = z__1.r, temp1.i = z__1.i;
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i__3 = j + l * a_dim1;
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z__2.r = alpha->r * a[i__3].r - alpha->i * a[i__3].i,
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z__2.i = alpha->r * a[i__3].i + alpha->i * a[i__3].r;
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d_lmp_cnjg(&z__1, &z__2);
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temp2.r = z__1.r, temp2.i = z__1.i;
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i__3 = j - 1;
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for (i__ = 1; i__ <= i__3; ++i__) {
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i__4 = i__ + j * c_dim1;
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i__5 = i__ + j * c_dim1;
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i__6 = i__ + l * a_dim1;
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z__3.r = a[i__6].r * temp1.r - a[i__6].i * temp1.i,
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z__3.i = a[i__6].r * temp1.i + a[i__6].i * temp1.r;
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z__2.r = c__[i__5].r + z__3.r, z__2.i = c__[i__5].i + z__3.i;
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i__7 = i__ + l * b_dim1;
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z__4.r = b[i__7].r * temp2.r - b[i__7].i * temp2.i,
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z__4.i = b[i__7].r * temp2.i + b[i__7].i * temp2.r;
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z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
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c__[i__4].r = z__1.r, c__[i__4].i = z__1.i;
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}
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i__3 = j + j * c_dim1;
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i__4 = j + j * c_dim1;
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i__5 = j + l * a_dim1;
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z__2.r = a[i__5].r * temp1.r - a[i__5].i * temp1.i,
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z__2.i = a[i__5].r * temp1.i + a[i__5].i * temp1.r;
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i__6 = j + l * b_dim1;
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z__3.r = b[i__6].r * temp2.r - b[i__6].i * temp2.i,
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z__3.i = b[i__6].r * temp2.i + b[i__6].i * temp2.r;
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z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
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d__1 = c__[i__4].r + z__1.r;
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c__[i__3].r = d__1, c__[i__3].i = 0.;
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}
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}
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}
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} else {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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if (*beta == 0.) {
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i__2 = *n;
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for (i__ = j; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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c__[i__3].r = 0., c__[i__3].i = 0.;
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}
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} else if (*beta != 1.) {
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i__2 = *n;
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for (i__ = j + 1; i__ <= i__2; ++i__) {
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i__3 = i__ + j * c_dim1;
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i__4 = i__ + j * c_dim1;
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z__1.r = *beta * c__[i__4].r, z__1.i = *beta * c__[i__4].i;
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c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
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}
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i__2 = j + j * c_dim1;
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i__3 = j + j * c_dim1;
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d__1 = *beta * c__[i__3].r;
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c__[i__2].r = d__1, c__[i__2].i = 0.;
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} else {
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i__2 = j + j * c_dim1;
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i__3 = j + j * c_dim1;
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d__1 = c__[i__3].r;
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c__[i__2].r = d__1, c__[i__2].i = 0.;
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}
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i__2 = *k;
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for (l = 1; l <= i__2; ++l) {
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i__3 = j + l * a_dim1;
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i__4 = j + l * b_dim1;
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if (a[i__3].r != 0. || a[i__3].i != 0. ||
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(b[i__4].r != 0. || b[i__4].i != 0.)) {
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d_lmp_cnjg(&z__2, &b[j + l * b_dim1]);
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z__1.r = alpha->r * z__2.r - alpha->i * z__2.i,
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z__1.i = alpha->r * z__2.i + alpha->i * z__2.r;
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temp1.r = z__1.r, temp1.i = z__1.i;
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i__3 = j + l * a_dim1;
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z__2.r = alpha->r * a[i__3].r - alpha->i * a[i__3].i,
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z__2.i = alpha->r * a[i__3].i + alpha->i * a[i__3].r;
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d_lmp_cnjg(&z__1, &z__2);
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temp2.r = z__1.r, temp2.i = z__1.i;
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i__3 = *n;
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for (i__ = j + 1; i__ <= i__3; ++i__) {
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i__4 = i__ + j * c_dim1;
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i__5 = i__ + j * c_dim1;
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i__6 = i__ + l * a_dim1;
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z__3.r = a[i__6].r * temp1.r - a[i__6].i * temp1.i,
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z__3.i = a[i__6].r * temp1.i + a[i__6].i * temp1.r;
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z__2.r = c__[i__5].r + z__3.r, z__2.i = c__[i__5].i + z__3.i;
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i__7 = i__ + l * b_dim1;
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z__4.r = b[i__7].r * temp2.r - b[i__7].i * temp2.i,
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z__4.i = b[i__7].r * temp2.i + b[i__7].i * temp2.r;
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z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
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c__[i__4].r = z__1.r, c__[i__4].i = z__1.i;
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}
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i__3 = j + j * c_dim1;
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i__4 = j + j * c_dim1;
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i__5 = j + l * a_dim1;
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z__2.r = a[i__5].r * temp1.r - a[i__5].i * temp1.i,
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z__2.i = a[i__5].r * temp1.i + a[i__5].i * temp1.r;
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i__6 = j + l * b_dim1;
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z__3.r = b[i__6].r * temp2.r - b[i__6].i * temp2.i,
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z__3.i = b[i__6].r * temp2.i + b[i__6].i * temp2.r;
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z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
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d__1 = c__[i__4].r + z__1.r;
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c__[i__3].r = d__1, c__[i__3].i = 0.;
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}
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}
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}
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}
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} else {
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if (upper) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = j;
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for (i__ = 1; i__ <= i__2; ++i__) {
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temp1.r = 0., temp1.i = 0.;
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temp2.r = 0., temp2.i = 0.;
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i__3 = *k;
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for (l = 1; l <= i__3; ++l) {
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d_lmp_cnjg(&z__3, &a[l + i__ * a_dim1]);
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i__4 = l + j * b_dim1;
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z__2.r = z__3.r * b[i__4].r - z__3.i * b[i__4].i,
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z__2.i = z__3.r * b[i__4].i + z__3.i * b[i__4].r;
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z__1.r = temp1.r + z__2.r, z__1.i = temp1.i + z__2.i;
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temp1.r = z__1.r, temp1.i = z__1.i;
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d_lmp_cnjg(&z__3, &b[l + i__ * b_dim1]);
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i__4 = l + j * a_dim1;
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z__2.r = z__3.r * a[i__4].r - z__3.i * a[i__4].i,
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z__2.i = z__3.r * a[i__4].i + z__3.i * a[i__4].r;
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z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
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temp2.r = z__1.r, temp2.i = z__1.i;
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}
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if (i__ == j) {
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if (*beta == 0.) {
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i__3 = j + j * c_dim1;
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z__2.r = alpha->r * temp1.r - alpha->i * temp1.i,
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z__2.i = alpha->r * temp1.i + alpha->i * temp1.r;
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d_lmp_cnjg(&z__4, alpha);
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z__3.r = z__4.r * temp2.r - z__4.i * temp2.i,
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z__3.i = z__4.r * temp2.i + z__4.i * temp2.r;
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z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
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d__1 = z__1.r;
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c__[i__3].r = d__1, c__[i__3].i = 0.;
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} else {
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i__3 = j + j * c_dim1;
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i__4 = j + j * c_dim1;
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z__2.r = alpha->r * temp1.r - alpha->i * temp1.i,
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z__2.i = alpha->r * temp1.i + alpha->i * temp1.r;
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d_lmp_cnjg(&z__4, alpha);
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z__3.r = z__4.r * temp2.r - z__4.i * temp2.i,
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z__3.i = z__4.r * temp2.i + z__4.i * temp2.r;
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z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
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d__1 = *beta * c__[i__4].r + z__1.r;
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c__[i__3].r = d__1, c__[i__3].i = 0.;
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}
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} else {
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if (*beta == 0.) {
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i__3 = i__ + j * c_dim1;
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z__2.r = alpha->r * temp1.r - alpha->i * temp1.i,
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z__2.i = alpha->r * temp1.i + alpha->i * temp1.r;
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d_lmp_cnjg(&z__4, alpha);
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z__3.r = z__4.r * temp2.r - z__4.i * temp2.i,
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z__3.i = z__4.r * temp2.i + z__4.i * temp2.r;
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z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
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c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
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} else {
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i__3 = i__ + j * c_dim1;
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i__4 = i__ + j * c_dim1;
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z__3.r = *beta * c__[i__4].r, z__3.i = *beta * c__[i__4].i;
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z__4.r = alpha->r * temp1.r - alpha->i * temp1.i,
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z__4.i = alpha->r * temp1.i + alpha->i * temp1.r;
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z__2.r = z__3.r + z__4.r, z__2.i = z__3.i + z__4.i;
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d_lmp_cnjg(&z__6, alpha);
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z__5.r = z__6.r * temp2.r - z__6.i * temp2.i,
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z__5.i = z__6.r * temp2.i + z__6.i * temp2.r;
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z__1.r = z__2.r + z__5.r, z__1.i = z__2.i + z__5.i;
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c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
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}
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}
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}
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}
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} else {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *n;
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for (i__ = j; i__ <= i__2; ++i__) {
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temp1.r = 0., temp1.i = 0.;
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temp2.r = 0., temp2.i = 0.;
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i__3 = *k;
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for (l = 1; l <= i__3; ++l) {
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d_lmp_cnjg(&z__3, &a[l + i__ * a_dim1]);
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i__4 = l + j * b_dim1;
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z__2.r = z__3.r * b[i__4].r - z__3.i * b[i__4].i,
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z__2.i = z__3.r * b[i__4].i + z__3.i * b[i__4].r;
|
|
z__1.r = temp1.r + z__2.r, z__1.i = temp1.i + z__2.i;
|
|
temp1.r = z__1.r, temp1.i = z__1.i;
|
|
d_lmp_cnjg(&z__3, &b[l + i__ * b_dim1]);
|
|
i__4 = l + j * a_dim1;
|
|
z__2.r = z__3.r * a[i__4].r - z__3.i * a[i__4].i,
|
|
z__2.i = z__3.r * a[i__4].i + z__3.i * a[i__4].r;
|
|
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
|
|
temp2.r = z__1.r, temp2.i = z__1.i;
|
|
}
|
|
if (i__ == j) {
|
|
if (*beta == 0.) {
|
|
i__3 = j + j * c_dim1;
|
|
z__2.r = alpha->r * temp1.r - alpha->i * temp1.i,
|
|
z__2.i = alpha->r * temp1.i + alpha->i * temp1.r;
|
|
d_lmp_cnjg(&z__4, alpha);
|
|
z__3.r = z__4.r * temp2.r - z__4.i * temp2.i,
|
|
z__3.i = z__4.r * temp2.i + z__4.i * temp2.r;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
|
|
d__1 = z__1.r;
|
|
c__[i__3].r = d__1, c__[i__3].i = 0.;
|
|
} else {
|
|
i__3 = j + j * c_dim1;
|
|
i__4 = j + j * c_dim1;
|
|
z__2.r = alpha->r * temp1.r - alpha->i * temp1.i,
|
|
z__2.i = alpha->r * temp1.i + alpha->i * temp1.r;
|
|
d_lmp_cnjg(&z__4, alpha);
|
|
z__3.r = z__4.r * temp2.r - z__4.i * temp2.i,
|
|
z__3.i = z__4.r * temp2.i + z__4.i * temp2.r;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
|
|
d__1 = *beta * c__[i__4].r + z__1.r;
|
|
c__[i__3].r = d__1, c__[i__3].i = 0.;
|
|
}
|
|
} else {
|
|
if (*beta == 0.) {
|
|
i__3 = i__ + j * c_dim1;
|
|
z__2.r = alpha->r * temp1.r - alpha->i * temp1.i,
|
|
z__2.i = alpha->r * temp1.i + alpha->i * temp1.r;
|
|
d_lmp_cnjg(&z__4, alpha);
|
|
z__3.r = z__4.r * temp2.r - z__4.i * temp2.i,
|
|
z__3.i = z__4.r * temp2.i + z__4.i * temp2.r;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
|
|
c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
|
|
} else {
|
|
i__3 = i__ + j * c_dim1;
|
|
i__4 = i__ + j * c_dim1;
|
|
z__3.r = *beta * c__[i__4].r, z__3.i = *beta * c__[i__4].i;
|
|
z__4.r = alpha->r * temp1.r - alpha->i * temp1.i,
|
|
z__4.i = alpha->r * temp1.i + alpha->i * temp1.r;
|
|
z__2.r = z__3.r + z__4.r, z__2.i = z__3.i + z__4.i;
|
|
d_lmp_cnjg(&z__6, alpha);
|
|
z__5.r = z__6.r * temp2.r - z__6.i * temp2.i,
|
|
z__5.i = z__6.r * temp2.i + z__6.i * temp2.r;
|
|
z__1.r = z__2.r + z__5.r, z__1.i = z__2.i + z__5.i;
|
|
c__[i__3].r = z__1.r, c__[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
return 0;
|
|
}
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|