| /* zlarfb.f -- translated by f2c (version 20061008). |
| You must link the resulting object file with libf2c: |
| on Microsoft Windows system, link with libf2c.lib; |
| on Linux or Unix systems, link with .../path/to/libf2c.a -lm |
| or, if you install libf2c.a in a standard place, with -lf2c -lm |
| -- in that order, at the end of the command line, as in |
| cc *.o -lf2c -lm |
| Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., |
| |
| http://www.netlib.org/f2c/libf2c.zip |
| */ |
| |
| #include "blaswrap.h" |
| #include "lapack_datatypes.h" |
| |
| static inline void d_cnjg(doublecomplex *r, doublecomplex *z) { |
| r->r = z->r; |
| r->i = -(z->i); |
| } |
| |
| /* Table of constant values */ |
| |
| static doublecomplex c_b1 = {1., 0.}; |
| static integer c__1 = 1; |
| |
| /* Subroutine */ void zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, integer *n, integer *k, |
| doublecomplex *v, integer *ldv, doublecomplex *t, integer *ldt, doublecomplex *c__, |
| integer *ldc, doublecomplex *work, integer *ldwork) { |
| /* System generated locals */ |
| integer c_dim1, c_offset, t_dim1, t_offset, v_dim1, v_offset, work_dim1, work_offset, i__1, i__2, i__3, i__4, i__5; |
| doublecomplex z__1, z__2; |
| |
| /* Local variables */ |
| integer i__, j; |
| extern logical lsame_(char *, char *); |
| integer lastc; |
| extern /* Subroutine */ void zgemm_(const char *, const char *, const integer *, const integer *, const integer *, |
| const doublecomplex *, const doublecomplex *, const integer *, |
| const doublecomplex *, const integer *, const doublecomplex *, doublecomplex *, |
| const integer *); |
| integer lastv; |
| extern /* Subroutine */ void zcopy_(integer *, doublecomplex *, integer *, doublecomplex *, integer *), |
| ztrmm_(const char *, const char *, const char *, const char *, const integer *, const integer *, |
| const doublecomplex *, const doublecomplex *, const integer *, doublecomplex *, const integer *); |
| extern integer ilazlc_(integer *, integer *, doublecomplex *, integer *); |
| extern /* Subroutine */ void zlacgv_(integer *, doublecomplex *, integer *); |
| extern integer ilazlr_(integer *, integer *, doublecomplex *, integer *); |
| char transt[1]; |
| |
| /* -- LAPACK auxiliary routine (version 3.2) -- */ |
| /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ |
| /* November 2006 */ |
| |
| /* .. Scalar Arguments .. */ |
| /* .. */ |
| /* .. Array Arguments .. */ |
| /* .. */ |
| |
| /* Purpose */ |
| /* ======= */ |
| |
| /* ZLARFB applies a complex block reflector H or its transpose H' to a */ |
| /* complex M-by-N matrix C, from either the left or the right. */ |
| |
| /* Arguments */ |
| /* ========= */ |
| |
| /* SIDE (input) CHARACTER*1 */ |
| /* = 'L': apply H or H' from the Left */ |
| /* = 'R': apply H or H' from the Right */ |
| |
| /* TRANS (input) CHARACTER*1 */ |
| /* = 'N': apply H (No transpose) */ |
| /* = 'C': apply H' (Conjugate transpose) */ |
| |
| /* DIRECT (input) CHARACTER*1 */ |
| /* Indicates how H is formed from a product of elementary */ |
| /* reflectors */ |
| /* = 'F': H = H(1) H(2) . . . H(k) (Forward) */ |
| /* = 'B': H = H(k) . . . H(2) H(1) (Backward) */ |
| |
| /* STOREV (input) CHARACTER*1 */ |
| /* Indicates how the vectors which define the elementary */ |
| /* reflectors are stored: */ |
| /* = 'C': Columnwise */ |
| /* = 'R': Rowwise */ |
| |
| /* M (input) INTEGER */ |
| /* The number of rows of the matrix C. */ |
| |
| /* N (input) INTEGER */ |
| /* The number of columns of the matrix C. */ |
| |
| /* K (input) INTEGER */ |
| /* The order of the matrix T (= the number of elementary */ |
| /* reflectors whose product defines the block reflector). */ |
| |
| /* V (input) COMPLEX*16 array, dimension */ |
| /* (LDV,K) if STOREV = 'C' */ |
| /* (LDV,M) if STOREV = 'R' and SIDE = 'L' */ |
| /* (LDV,N) if STOREV = 'R' and SIDE = 'R' */ |
| /* The matrix V. See further details. */ |
| |
| /* LDV (input) INTEGER */ |
| /* The leading dimension of the array V. */ |
| /* If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M); */ |
| /* if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N); */ |
| /* if STOREV = 'R', LDV >= K. */ |
| |
| /* T (input) COMPLEX*16 array, dimension (LDT,K) */ |
| /* The triangular K-by-K matrix T in the representation of the */ |
| /* block reflector. */ |
| |
| /* LDT (input) INTEGER */ |
| /* The leading dimension of the array T. LDT >= K. */ |
| |
| /* C (input/output) COMPLEX*16 array, dimension (LDC,N) */ |
| /* On entry, the M-by-N matrix C. */ |
| /* On exit, C is overwritten by H*C or H'*C or C*H or C*H'. */ |
| |
| /* LDC (input) INTEGER */ |
| /* The leading dimension of the array C. LDC >= max(1,M). */ |
| |
| /* WORK (workspace) COMPLEX*16 array, dimension (LDWORK,K) */ |
| |
| /* LDWORK (input) INTEGER */ |
| /* The leading dimension of the array WORK. */ |
| /* If SIDE = 'L', LDWORK >= max(1,N); */ |
| /* if SIDE = 'R', LDWORK >= max(1,M). */ |
| |
| /* ===================================================================== */ |
| |
| /* .. Parameters .. */ |
| /* .. */ |
| /* .. Local Scalars .. */ |
| /* .. */ |
| /* .. External Functions .. */ |
| /* .. */ |
| /* .. External Subroutines .. */ |
| /* .. */ |
| /* .. Intrinsic Functions .. */ |
| /* .. */ |
| /* .. Executable Statements .. */ |
| |
| /* Quick return if possible */ |
| |
| /* Parameter adjustments */ |
| v_dim1 = *ldv; |
| v_offset = 1 + v_dim1; |
| v -= v_offset; |
| t_dim1 = *ldt; |
| t_offset = 1 + t_dim1; |
| t -= t_offset; |
| c_dim1 = *ldc; |
| c_offset = 1 + c_dim1; |
| c__ -= c_offset; |
| work_dim1 = *ldwork; |
| work_offset = 1 + work_dim1; |
| work -= work_offset; |
| |
| /* Function Body */ |
| if (*m <= 0 || *n <= 0) { |
| return; |
| } |
| |
| if (lsame_(trans, "N")) { |
| *(unsigned char *)transt = 'C'; |
| } else { |
| *(unsigned char *)transt = 'N'; |
| } |
| |
| if (lsame_(storev, "C")) { |
| if (lsame_(direct, "F")) { |
| /* Let V = ( V1 ) (first K rows) */ |
| /* ( V2 ) */ |
| /* where V1 is unit lower triangular. */ |
| |
| if (lsame_(side, "L")) { |
| /* Form H * C or H' * C where C = ( C1 ) */ |
| /* ( C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlr_(m, k, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlc_(&lastv, n, &c__[c_offset], ldc); |
| |
| /* W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) */ |
| |
| /* W := C1' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1); |
| zlacgv_(&lastc, &work[j * work_dim1 + 1], &c__1); |
| /* L10: */ |
| } |
| |
| /* W := W * V1 */ |
| |
| ztrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| if (lastv > *k) { |
| /* W := W + C2'*V2 */ |
| |
| i__1 = lastv - *k; |
| zgemm_("Conjugate transpose", "No transpose", &lastc, k, &i__1, &c_b1, &c__[*k + 1 + c_dim1], ldc, |
| &v[*k + 1 + v_dim1], ldv, &c_b1, &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T' or W * T */ |
| |
| ztrmm_("Right", "Upper", transt, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - V * W' */ |
| |
| if (*m > *k) { |
| /* C2 := C2 - V2 * W' */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("No transpose", "Conjugate transpose", &i__1, &lastc, k, &z__1, &v[*k + 1 + v_dim1], ldv, |
| &work[work_offset], ldwork, &c_b1, &c__[*k + 1 + c_dim1], ldc); |
| } |
| |
| /* W := W * V1' */ |
| |
| ztrmm_("Right", "Lower", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| |
| /* C1 := C1 - W' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = j + i__ * c_dim1; |
| i__4 = j + i__ * c_dim1; |
| d_cnjg(&z__2, &work[i__ + j * work_dim1]); |
| z__1.r = c__[i__4].r - z__2.r, z__1.i = c__[i__4].i - z__2.i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L20: */ |
| } |
| /* L30: */ |
| } |
| |
| } else if (lsame_(side, "R")) { |
| /* Form C * H or C * H' where C = ( C1 C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlr_(n, k, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlr_(m, &lastv, &c__[c_offset], ldc); |
| |
| /* W := C * V = (C1*V1 + C2*V2) (stored in WORK) */ |
| |
| /* W := C1 */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[j * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1); |
| /* L40: */ |
| } |
| |
| /* W := W * V1 */ |
| |
| ztrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| if (lastv > *k) { |
| /* W := W + C2 * V2 */ |
| |
| i__1 = lastv - *k; |
| zgemm_("No transpose", "No transpose", &lastc, k, &i__1, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc, |
| &v[*k + 1 + v_dim1], ldv, &c_b1, &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T or W * T' */ |
| |
| ztrmm_("Right", "Upper", trans, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - W * V' */ |
| |
| if (lastv > *k) { |
| /* C2 := C2 - W * V2' */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("No transpose", "Conjugate transpose", &lastc, &i__1, k, &z__1, &work[work_offset], ldwork, |
| &v[*k + 1 + v_dim1], ldv, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc); |
| } |
| |
| /* W := W * V1' */ |
| |
| ztrmm_("Right", "Lower", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| |
| /* C1 := C1 - W */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = i__ + j * c_dim1; |
| i__4 = i__ + j * c_dim1; |
| i__5 = i__ + j * work_dim1; |
| z__1.r = c__[i__4].r - work[i__5].r, z__1.i = c__[i__4].i - work[i__5].i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L50: */ |
| } |
| /* L60: */ |
| } |
| } |
| |
| } else { |
| /* Let V = ( V1 ) */ |
| /* ( V2 ) (last K rows) */ |
| /* where V2 is unit upper triangular. */ |
| |
| if (lsame_(side, "L")) { |
| /* Form H * C or H' * C where C = ( C1 ) */ |
| /* ( C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlr_(m, k, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlc_(&lastv, n, &c__[c_offset], ldc); |
| |
| /* W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) */ |
| |
| /* W := C2' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[lastv - *k + j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1); |
| zlacgv_(&lastc, &work[j * work_dim1 + 1], &c__1); |
| /* L70: */ |
| } |
| |
| /* W := W * V2 */ |
| |
| ztrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &c_b1, &v[lastv - *k + 1 + v_dim1], ldv, |
| &work[work_offset], ldwork); |
| if (lastv > *k) { |
| /* W := W + C1'*V1 */ |
| |
| i__1 = lastv - *k; |
| zgemm_("Conjugate transpose", "No transpose", &lastc, k, &i__1, &c_b1, &c__[c_offset], ldc, &v[v_offset], ldv, |
| &c_b1, &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T' or W * T */ |
| |
| ztrmm_("Right", "Lower", transt, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - V * W' */ |
| |
| if (lastv > *k) { |
| /* C1 := C1 - V1 * W' */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("No transpose", "Conjugate transpose", &i__1, &lastc, k, &z__1, &v[v_offset], ldv, &work[work_offset], |
| ldwork, &c_b1, &c__[c_offset], ldc); |
| } |
| |
| /* W := W * V2' */ |
| |
| ztrmm_("Right", "Upper", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[lastv - *k + 1 + v_dim1], ldv, |
| &work[work_offset], ldwork); |
| |
| /* C2 := C2 - W' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = lastv - *k + j + i__ * c_dim1; |
| i__4 = lastv - *k + j + i__ * c_dim1; |
| d_cnjg(&z__2, &work[i__ + j * work_dim1]); |
| z__1.r = c__[i__4].r - z__2.r, z__1.i = c__[i__4].i - z__2.i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L80: */ |
| } |
| /* L90: */ |
| } |
| |
| } else if (lsame_(side, "R")) { |
| /* Form C * H or C * H' where C = ( C1 C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlr_(n, k, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlr_(m, &lastv, &c__[c_offset], ldc); |
| |
| /* W := C * V = (C1*V1 + C2*V2) (stored in WORK) */ |
| |
| /* W := C2 */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[(lastv - *k + j) * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1); |
| /* L100: */ |
| } |
| |
| /* W := W * V2 */ |
| |
| ztrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &c_b1, &v[lastv - *k + 1 + v_dim1], ldv, |
| &work[work_offset], ldwork); |
| if (lastv > *k) { |
| /* W := W + C1 * V1 */ |
| |
| i__1 = lastv - *k; |
| zgemm_("No transpose", "No transpose", &lastc, k, &i__1, &c_b1, &c__[c_offset], ldc, &v[v_offset], ldv, &c_b1, |
| &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T or W * T' */ |
| |
| ztrmm_("Right", "Lower", trans, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - W * V' */ |
| |
| if (lastv > *k) { |
| /* C1 := C1 - W * V1' */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("No transpose", "Conjugate transpose", &lastc, &i__1, k, &z__1, &work[work_offset], ldwork, |
| &v[v_offset], ldv, &c_b1, &c__[c_offset], ldc); |
| } |
| |
| /* W := W * V2' */ |
| |
| ztrmm_("Right", "Upper", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[lastv - *k + 1 + v_dim1], ldv, |
| &work[work_offset], ldwork); |
| |
| /* C2 := C2 - W */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = i__ + (lastv - *k + j) * c_dim1; |
| i__4 = i__ + (lastv - *k + j) * c_dim1; |
| i__5 = i__ + j * work_dim1; |
| z__1.r = c__[i__4].r - work[i__5].r, z__1.i = c__[i__4].i - work[i__5].i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L110: */ |
| } |
| /* L120: */ |
| } |
| } |
| } |
| |
| } else if (lsame_(storev, "R")) { |
| if (lsame_(direct, "F")) { |
| /* Let V = ( V1 V2 ) (V1: first K columns) */ |
| /* where V1 is unit upper triangular. */ |
| |
| if (lsame_(side, "L")) { |
| /* Form H * C or H' * C where C = ( C1 ) */ |
| /* ( C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlc_(k, m, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlc_(&lastv, n, &c__[c_offset], ldc); |
| |
| /* W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) */ |
| |
| /* W := C1' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1); |
| zlacgv_(&lastc, &work[j * work_dim1 + 1], &c__1); |
| /* L130: */ |
| } |
| |
| /* W := W * V1' */ |
| |
| ztrmm_("Right", "Upper", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| if (lastv > *k) { |
| /* W := W + C2'*V2' */ |
| |
| i__1 = lastv - *k; |
| zgemm_("Conjugate transpose", "Conjugate transpose", &lastc, k, &i__1, &c_b1, &c__[*k + 1 + c_dim1], ldc, |
| &v[(*k + 1) * v_dim1 + 1], ldv, &c_b1, &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T' or W * T */ |
| |
| ztrmm_("Right", "Upper", transt, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - V' * W' */ |
| |
| if (lastv > *k) { |
| /* C2 := C2 - V2' * W' */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("Conjugate transpose", "Conjugate transpose", &i__1, &lastc, k, &z__1, &v[(*k + 1) * v_dim1 + 1], ldv, |
| &work[work_offset], ldwork, &c_b1, &c__[*k + 1 + c_dim1], ldc); |
| } |
| |
| /* W := W * V1 */ |
| |
| ztrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| |
| /* C1 := C1 - W' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = j + i__ * c_dim1; |
| i__4 = j + i__ * c_dim1; |
| d_cnjg(&z__2, &work[i__ + j * work_dim1]); |
| z__1.r = c__[i__4].r - z__2.r, z__1.i = c__[i__4].i - z__2.i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L140: */ |
| } |
| /* L150: */ |
| } |
| |
| } else if (lsame_(side, "R")) { |
| /* Form C * H or C * H' where C = ( C1 C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlc_(k, n, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlr_(m, &lastv, &c__[c_offset], ldc); |
| |
| /* W := C * V' = (C1*V1' + C2*V2') (stored in WORK) */ |
| |
| /* W := C1 */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[j * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1); |
| /* L160: */ |
| } |
| |
| /* W := W * V1' */ |
| |
| ztrmm_("Right", "Upper", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| if (lastv > *k) { |
| /* W := W + C2 * V2' */ |
| |
| i__1 = lastv - *k; |
| zgemm_("No transpose", "Conjugate transpose", &lastc, k, &i__1, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc, |
| &v[(*k + 1) * v_dim1 + 1], ldv, &c_b1, &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T or W * T' */ |
| |
| ztrmm_("Right", "Upper", trans, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - W * V */ |
| |
| if (lastv > *k) { |
| /* C2 := C2 - W * V2 */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("No transpose", "No transpose", &lastc, &i__1, k, &z__1, &work[work_offset], ldwork, |
| &v[(*k + 1) * v_dim1 + 1], ldv, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc); |
| } |
| |
| /* W := W * V1 */ |
| |
| ztrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &c_b1, &v[v_offset], ldv, &work[work_offset], |
| ldwork); |
| |
| /* C1 := C1 - W */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = i__ + j * c_dim1; |
| i__4 = i__ + j * c_dim1; |
| i__5 = i__ + j * work_dim1; |
| z__1.r = c__[i__4].r - work[i__5].r, z__1.i = c__[i__4].i - work[i__5].i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L170: */ |
| } |
| /* L180: */ |
| } |
| } |
| |
| } else { |
| /* Let V = ( V1 V2 ) (V2: last K columns) */ |
| /* where V2 is unit lower triangular. */ |
| |
| if (lsame_(side, "L")) { |
| /* Form H * C or H' * C where C = ( C1 ) */ |
| /* ( C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlc_(k, m, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlc_(&lastv, n, &c__[c_offset], ldc); |
| |
| /* W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) */ |
| |
| /* W := C2' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[lastv - *k + j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1); |
| zlacgv_(&lastc, &work[j * work_dim1 + 1], &c__1); |
| /* L190: */ |
| } |
| |
| /* W := W * V2' */ |
| |
| ztrmm_("Right", "Lower", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[(lastv - *k + 1) * v_dim1 + 1], |
| ldv, &work[work_offset], ldwork); |
| if (lastv > *k) { |
| /* W := W + C1'*V1' */ |
| |
| i__1 = lastv - *k; |
| zgemm_("Conjugate transpose", "Conjugate transpose", &lastc, k, &i__1, &c_b1, &c__[c_offset], ldc, |
| &v[v_offset], ldv, &c_b1, &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T' or W * T */ |
| |
| ztrmm_("Right", "Lower", transt, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - V' * W' */ |
| |
| if (lastv > *k) { |
| /* C1 := C1 - V1' * W' */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("Conjugate transpose", "Conjugate transpose", &i__1, &lastc, k, &z__1, &v[v_offset], ldv, |
| &work[work_offset], ldwork, &c_b1, &c__[c_offset], ldc); |
| } |
| |
| /* W := W * V2 */ |
| |
| ztrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &c_b1, &v[(lastv - *k + 1) * v_dim1 + 1], ldv, |
| &work[work_offset], ldwork); |
| |
| /* C2 := C2 - W' */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = lastv - *k + j + i__ * c_dim1; |
| i__4 = lastv - *k + j + i__ * c_dim1; |
| d_cnjg(&z__2, &work[i__ + j * work_dim1]); |
| z__1.r = c__[i__4].r - z__2.r, z__1.i = c__[i__4].i - z__2.i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L200: */ |
| } |
| /* L210: */ |
| } |
| |
| } else if (lsame_(side, "R")) { |
| /* Form C * H or C * H' where C = ( C1 C2 ) */ |
| |
| /* Computing MAX */ |
| i__1 = *k, i__2 = ilazlc_(k, n, &v[v_offset], ldv); |
| lastv = max(i__1, i__2); |
| lastc = ilazlr_(m, &lastv, &c__[c_offset], ldc); |
| |
| /* W := C * V' = (C1*V1' + C2*V2') (stored in WORK) */ |
| |
| /* W := C2 */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| zcopy_(&lastc, &c__[(lastv - *k + j) * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1); |
| /* L220: */ |
| } |
| |
| /* W := W * V2' */ |
| |
| ztrmm_("Right", "Lower", "Conjugate transpose", "Unit", &lastc, k, &c_b1, &v[(lastv - *k + 1) * v_dim1 + 1], |
| ldv, &work[work_offset], ldwork); |
| if (lastv > *k) { |
| /* W := W + C1 * V1' */ |
| |
| i__1 = lastv - *k; |
| zgemm_("No transpose", "Conjugate transpose", &lastc, k, &i__1, &c_b1, &c__[c_offset], ldc, &v[v_offset], ldv, |
| &c_b1, &work[work_offset], ldwork); |
| } |
| |
| /* W := W * T or W * T' */ |
| |
| ztrmm_("Right", "Lower", trans, "Non-unit", &lastc, k, &c_b1, &t[t_offset], ldt, &work[work_offset], ldwork); |
| |
| /* C := C - W * V */ |
| |
| if (lastv > *k) { |
| /* C1 := C1 - W * V1 */ |
| |
| i__1 = lastv - *k; |
| z__1.r = -1., z__1.i = -0.; |
| zgemm_("No transpose", "No transpose", &lastc, &i__1, k, &z__1, &work[work_offset], ldwork, &v[v_offset], ldv, |
| &c_b1, &c__[c_offset], ldc); |
| } |
| |
| /* W := W * V2 */ |
| |
| ztrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &c_b1, &v[(lastv - *k + 1) * v_dim1 + 1], ldv, |
| &work[work_offset], ldwork); |
| |
| /* C1 := C1 - W */ |
| |
| i__1 = *k; |
| for (j = 1; j <= i__1; ++j) { |
| i__2 = lastc; |
| for (i__ = 1; i__ <= i__2; ++i__) { |
| i__3 = i__ + (lastv - *k + j) * c_dim1; |
| i__4 = i__ + (lastv - *k + j) * c_dim1; |
| i__5 = i__ + j * work_dim1; |
| z__1.r = c__[i__4].r - work[i__5].r, z__1.i = c__[i__4].i - work[i__5].i; |
| c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; |
| /* L230: */ |
| } |
| /* L240: */ |
| } |
| } |
| } |
| } |
| |
| /* End of ZLARFB */ |
| |
| } /* zlarfb_ */ |
