/* slarfx.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 "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__1 = 1; /* Subroutine */ int slarfx_(char *side, integer *m, integer *n, real *v, real *tau, real *c__, integer *ldc, real *work) { /* System generated locals */ integer c_dim1, c_offset, i__1; /* Local variables */ integer j; real t1, t2, t3, t4, t5, t6, t7, t8, t9, v1, v2, v3, v4, v5, v6, v7, v8, v9, t10, v10, sum; extern logical lsame_(char *, char *); extern /* Subroutine */ int slarf_(char *, integer *, integer *, real *, integer *, real *, real *, integer *, real *); /* -- LAPACK auxiliary routine (version 3.2) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* SLARFX applies a real elementary reflector H to a real m by n */ /* matrix C, from either the left or the right. H is represented in the */ /* form */ /* H = I - tau * v * v' */ /* where tau is a real scalar and v is a real vector. */ /* If tau = 0, then H is taken to be the unit matrix */ /* This version uses inline code if H has order < 11. */ /* Arguments */ /* ========= */ /* SIDE (input) CHARACTER*1 */ /* = 'L': form H * C */ /* = 'R': form C * H */ /* M (input) INTEGER */ /* The number of rows of the matrix C. */ /* N (input) INTEGER */ /* The number of columns of the matrix C. */ /* V (input) REAL array, dimension (M) if SIDE = 'L' */ /* or (N) if SIDE = 'R' */ /* The vector v in the representation of H. */ /* TAU (input) REAL */ /* The value tau in the representation of H. */ /* C (input/output) REAL array, dimension (LDC,N) */ /* On entry, the m by n matrix C. */ /* On exit, C is overwritten by the matrix H * C if SIDE = 'L', */ /* or C * H if SIDE = 'R'. */ /* LDC (input) INTEGER */ /* The leading dimension of the array C. LDA >= (1,M). */ /* WORK (workspace) REAL array, dimension */ /* (N) if SIDE = 'L' */ /* or (M) if SIDE = 'R' */ /* WORK is not referenced if H has order < 11. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ --v; c_dim1 = *ldc; c_offset = 1 + c_dim1; c__ -= c_offset; --work; /* Function Body */ if (*tau == 0.f) { return 0; } if (lsame_(side, "L")) { /* Form H * C, where H has order m. */ switch (*m) { case 1: goto L10; case 2: goto L30; case 3: goto L50; case 4: goto L70; case 5: goto L90; case 6: goto L110; case 7: goto L130; case 8: goto L150; case 9: goto L170; case 10: goto L190; } /* Code for general M */ slarf_(side, m, n, &v[1], &c__1, tau, &c__[c_offset], ldc, &work[1]); goto L410; L10: /* Special code for 1 x 1 Householder */ t1 = 1.f - *tau * v[1] * v[1]; i__1 = *n; for (j = 1; j <= i__1; ++j) { c__[j * c_dim1 + 1] = t1 * c__[j * c_dim1 + 1]; /* L20: */ } goto L410; L30: /* Special code for 2 x 2 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; /* L40: */ } goto L410; L50: /* Special code for 3 x 3 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; /* L60: */ } goto L410; L70: /* Special code for 4 x 4 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3] + v4 * c__[j * c_dim1 + 4]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; c__[j * c_dim1 + 4] -= sum * t4; /* L80: */ } goto L410; L90: /* Special code for 5 x 5 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3] + v4 * c__[j * c_dim1 + 4] + v5 * c__[ j * c_dim1 + 5]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; c__[j * c_dim1 + 4] -= sum * t4; c__[j * c_dim1 + 5] -= sum * t5; /* L100: */ } goto L410; L110: /* Special code for 6 x 6 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3] + v4 * c__[j * c_dim1 + 4] + v5 * c__[ j * c_dim1 + 5] + v6 * c__[j * c_dim1 + 6]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; c__[j * c_dim1 + 4] -= sum * t4; c__[j * c_dim1 + 5] -= sum * t5; c__[j * c_dim1 + 6] -= sum * t6; /* L120: */ } goto L410; L130: /* Special code for 7 x 7 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3] + v4 * c__[j * c_dim1 + 4] + v5 * c__[ j * c_dim1 + 5] + v6 * c__[j * c_dim1 + 6] + v7 * c__[j * c_dim1 + 7]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; c__[j * c_dim1 + 4] -= sum * t4; c__[j * c_dim1 + 5] -= sum * t5; c__[j * c_dim1 + 6] -= sum * t6; c__[j * c_dim1 + 7] -= sum * t7; /* L140: */ } goto L410; L150: /* Special code for 8 x 8 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; v8 = v[8]; t8 = *tau * v8; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3] + v4 * c__[j * c_dim1 + 4] + v5 * c__[ j * c_dim1 + 5] + v6 * c__[j * c_dim1 + 6] + v7 * c__[j * c_dim1 + 7] + v8 * c__[j * c_dim1 + 8]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; c__[j * c_dim1 + 4] -= sum * t4; c__[j * c_dim1 + 5] -= sum * t5; c__[j * c_dim1 + 6] -= sum * t6; c__[j * c_dim1 + 7] -= sum * t7; c__[j * c_dim1 + 8] -= sum * t8; /* L160: */ } goto L410; L170: /* Special code for 9 x 9 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; v8 = v[8]; t8 = *tau * v8; v9 = v[9]; t9 = *tau * v9; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3] + v4 * c__[j * c_dim1 + 4] + v5 * c__[ j * c_dim1 + 5] + v6 * c__[j * c_dim1 + 6] + v7 * c__[j * c_dim1 + 7] + v8 * c__[j * c_dim1 + 8] + v9 * c__[j * c_dim1 + 9]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; c__[j * c_dim1 + 4] -= sum * t4; c__[j * c_dim1 + 5] -= sum * t5; c__[j * c_dim1 + 6] -= sum * t6; c__[j * c_dim1 + 7] -= sum * t7; c__[j * c_dim1 + 8] -= sum * t8; c__[j * c_dim1 + 9] -= sum * t9; /* L180: */ } goto L410; L190: /* Special code for 10 x 10 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; v8 = v[8]; t8 = *tau * v8; v9 = v[9]; t9 = *tau * v9; v10 = v[10]; t10 = *tau * v10; i__1 = *n; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j * c_dim1 + 1] + v2 * c__[j * c_dim1 + 2] + v3 * c__[j * c_dim1 + 3] + v4 * c__[j * c_dim1 + 4] + v5 * c__[ j * c_dim1 + 5] + v6 * c__[j * c_dim1 + 6] + v7 * c__[j * c_dim1 + 7] + v8 * c__[j * c_dim1 + 8] + v9 * c__[j * c_dim1 + 9] + v10 * c__[j * c_dim1 + 10]; c__[j * c_dim1 + 1] -= sum * t1; c__[j * c_dim1 + 2] -= sum * t2; c__[j * c_dim1 + 3] -= sum * t3; c__[j * c_dim1 + 4] -= sum * t4; c__[j * c_dim1 + 5] -= sum * t5; c__[j * c_dim1 + 6] -= sum * t6; c__[j * c_dim1 + 7] -= sum * t7; c__[j * c_dim1 + 8] -= sum * t8; c__[j * c_dim1 + 9] -= sum * t9; c__[j * c_dim1 + 10] -= sum * t10; /* L200: */ } goto L410; } else { /* Form C * H, where H has order n. */ switch (*n) { case 1: goto L210; case 2: goto L230; case 3: goto L250; case 4: goto L270; case 5: goto L290; case 6: goto L310; case 7: goto L330; case 8: goto L350; case 9: goto L370; case 10: goto L390; } /* Code for general N */ slarf_(side, m, n, &v[1], &c__1, tau, &c__[c_offset], ldc, &work[1]); goto L410; L210: /* Special code for 1 x 1 Householder */ t1 = 1.f - *tau * v[1] * v[1]; i__1 = *m; for (j = 1; j <= i__1; ++j) { c__[j + c_dim1] = t1 * c__[j + c_dim1]; /* L220: */ } goto L410; L230: /* Special code for 2 x 2 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; /* L240: */ } goto L410; L250: /* Special code for 3 x 3 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; /* L260: */ } goto L410; L270: /* Special code for 4 x 4 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3] + v4 * c__[j + (c_dim1 << 2)]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; c__[j + (c_dim1 << 2)] -= sum * t4; /* L280: */ } goto L410; L290: /* Special code for 5 x 5 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3] + v4 * c__[j + (c_dim1 << 2)] + v5 * c__[j + c_dim1 * 5]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; c__[j + (c_dim1 << 2)] -= sum * t4; c__[j + c_dim1 * 5] -= sum * t5; /* L300: */ } goto L410; L310: /* Special code for 6 x 6 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3] + v4 * c__[j + (c_dim1 << 2)] + v5 * c__[j + c_dim1 * 5] + v6 * c__[j + c_dim1 * 6]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; c__[j + (c_dim1 << 2)] -= sum * t4; c__[j + c_dim1 * 5] -= sum * t5; c__[j + c_dim1 * 6] -= sum * t6; /* L320: */ } goto L410; L330: /* Special code for 7 x 7 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3] + v4 * c__[j + (c_dim1 << 2)] + v5 * c__[j + c_dim1 * 5] + v6 * c__[j + c_dim1 * 6] + v7 * c__[ j + c_dim1 * 7]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; c__[j + (c_dim1 << 2)] -= sum * t4; c__[j + c_dim1 * 5] -= sum * t5; c__[j + c_dim1 * 6] -= sum * t6; c__[j + c_dim1 * 7] -= sum * t7; /* L340: */ } goto L410; L350: /* Special code for 8 x 8 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; v8 = v[8]; t8 = *tau * v8; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3] + v4 * c__[j + (c_dim1 << 2)] + v5 * c__[j + c_dim1 * 5] + v6 * c__[j + c_dim1 * 6] + v7 * c__[ j + c_dim1 * 7] + v8 * c__[j + (c_dim1 << 3)]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; c__[j + (c_dim1 << 2)] -= sum * t4; c__[j + c_dim1 * 5] -= sum * t5; c__[j + c_dim1 * 6] -= sum * t6; c__[j + c_dim1 * 7] -= sum * t7; c__[j + (c_dim1 << 3)] -= sum * t8; /* L360: */ } goto L410; L370: /* Special code for 9 x 9 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; v8 = v[8]; t8 = *tau * v8; v9 = v[9]; t9 = *tau * v9; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3] + v4 * c__[j + (c_dim1 << 2)] + v5 * c__[j + c_dim1 * 5] + v6 * c__[j + c_dim1 * 6] + v7 * c__[ j + c_dim1 * 7] + v8 * c__[j + (c_dim1 << 3)] + v9 * c__[ j + c_dim1 * 9]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; c__[j + (c_dim1 << 2)] -= sum * t4; c__[j + c_dim1 * 5] -= sum * t5; c__[j + c_dim1 * 6] -= sum * t6; c__[j + c_dim1 * 7] -= sum * t7; c__[j + (c_dim1 << 3)] -= sum * t8; c__[j + c_dim1 * 9] -= sum * t9; /* L380: */ } goto L410; L390: /* Special code for 10 x 10 Householder */ v1 = v[1]; t1 = *tau * v1; v2 = v[2]; t2 = *tau * v2; v3 = v[3]; t3 = *tau * v3; v4 = v[4]; t4 = *tau * v4; v5 = v[5]; t5 = *tau * v5; v6 = v[6]; t6 = *tau * v6; v7 = v[7]; t7 = *tau * v7; v8 = v[8]; t8 = *tau * v8; v9 = v[9]; t9 = *tau * v9; v10 = v[10]; t10 = *tau * v10; i__1 = *m; for (j = 1; j <= i__1; ++j) { sum = v1 * c__[j + c_dim1] + v2 * c__[j + (c_dim1 << 1)] + v3 * c__[j + c_dim1 * 3] + v4 * c__[j + (c_dim1 << 2)] + v5 * c__[j + c_dim1 * 5] + v6 * c__[j + c_dim1 * 6] + v7 * c__[ j + c_dim1 * 7] + v8 * c__[j + (c_dim1 << 3)] + v9 * c__[ j + c_dim1 * 9] + v10 * c__[j + c_dim1 * 10]; c__[j + c_dim1] -= sum * t1; c__[j + (c_dim1 << 1)] -= sum * t2; c__[j + c_dim1 * 3] -= sum * t3; c__[j + (c_dim1 << 2)] -= sum * t4; c__[j + c_dim1 * 5] -= sum * t5; c__[j + c_dim1 * 6] -= sum * t6; c__[j + c_dim1 * 7] -= sum * t7; c__[j + (c_dim1 << 3)] -= sum * t8; c__[j + c_dim1 * 9] -= sum * t9; c__[j + c_dim1 * 10] -= sum * t10; /* L400: */ } goto L410; } L410: return 0; /* End of SLARFX */ } /* slarfx_ */