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authorjofret2009-04-28 07:17:00 +0000
committerjofret2009-04-28 07:17:00 +0000
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Moving lapack to right place
Diffstat (limited to 'src/lib/lapack/dlarfx.f')
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diff --git a/src/lib/lapack/dlarfx.f b/src/lib/lapack/dlarfx.f
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- SUBROUTINE DLARFX( SIDE, M, N, V, TAU, C, LDC, WORK )
-*
-* -- LAPACK auxiliary routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- CHARACTER SIDE
- INTEGER LDC, M, N
- DOUBLE PRECISION TAU
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DLARFX 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) DOUBLE PRECISION array, dimension (M) if SIDE = 'L'
-* or (N) if SIDE = 'R'
-* The vector v in the representation of H.
-*
-* TAU (input) DOUBLE PRECISION
-* The value tau in the representation of H.
-*
-* C (input/output) DOUBLE PRECISION 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) DOUBLE PRECISION array, dimension
-* (N) if SIDE = 'L'
-* or (M) if SIDE = 'R'
-* WORK is not referenced if H has order < 11.
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ZERO, ONE
- PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 )
-* ..
-* .. Local Scalars ..
- INTEGER J
- DOUBLE PRECISION SUM, T1, T10, T2, T3, T4, T5, T6, T7, T8, T9,
- $ V1, V10, V2, V3, V4, V5, V6, V7, V8, V9
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. External Subroutines ..
- EXTERNAL DGEMV, DGER
-* ..
-* .. Executable Statements ..
-*
- IF( TAU.EQ.ZERO )
- $ RETURN
- IF( LSAME( SIDE, 'L' ) ) THEN
-*
-* Form H * C, where H has order m.
-*
- GO TO ( 10, 30, 50, 70, 90, 110, 130, 150,
- $ 170, 190 )M
-*
-* Code for general M
-*
-* w := C'*v
-*
- CALL DGEMV( 'Transpose', M, N, ONE, C, LDC, V, 1, ZERO, WORK,
- $ 1 )
-*
-* C := C - tau * v * w'
-*
- CALL DGER( M, N, -TAU, V, 1, WORK, 1, C, LDC )
- GO TO 410
- 10 CONTINUE
-*
-* Special code for 1 x 1 Householder
-*
- T1 = ONE - TAU*V( 1 )*V( 1 )
- DO 20 J = 1, N
- C( 1, J ) = T1*C( 1, J )
- 20 CONTINUE
- GO TO 410
- 30 CONTINUE
-*
-* Special code for 2 x 2 Householder
-*
- V1 = V( 1 )
- T1 = TAU*V1
- V2 = V( 2 )
- T2 = TAU*V2
- DO 40 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- 40 CONTINUE
- GO TO 410
- 50 CONTINUE
-*
-* 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
- DO 60 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- 60 CONTINUE
- GO TO 410
- 70 CONTINUE
-*
-* 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
- DO 80 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
- $ V4*C( 4, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- C( 4, J ) = C( 4, J ) - SUM*T4
- 80 CONTINUE
- GO TO 410
- 90 CONTINUE
-*
-* 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
- DO 100 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
- $ V4*C( 4, J ) + V5*C( 5, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- C( 4, J ) = C( 4, J ) - SUM*T4
- C( 5, J ) = C( 5, J ) - SUM*T5
- 100 CONTINUE
- GO TO 410
- 110 CONTINUE
-*
-* 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
- DO 120 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
- $ V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- C( 4, J ) = C( 4, J ) - SUM*T4
- C( 5, J ) = C( 5, J ) - SUM*T5
- C( 6, J ) = C( 6, J ) - SUM*T6
- 120 CONTINUE
- GO TO 410
- 130 CONTINUE
-*
-* 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
- DO 140 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
- $ V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
- $ V7*C( 7, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- C( 4, J ) = C( 4, J ) - SUM*T4
- C( 5, J ) = C( 5, J ) - SUM*T5
- C( 6, J ) = C( 6, J ) - SUM*T6
- C( 7, J ) = C( 7, J ) - SUM*T7
- 140 CONTINUE
- GO TO 410
- 150 CONTINUE
-*
-* 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
- DO 160 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
- $ V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
- $ V7*C( 7, J ) + V8*C( 8, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- C( 4, J ) = C( 4, J ) - SUM*T4
- C( 5, J ) = C( 5, J ) - SUM*T5
- C( 6, J ) = C( 6, J ) - SUM*T6
- C( 7, J ) = C( 7, J ) - SUM*T7
- C( 8, J ) = C( 8, J ) - SUM*T8
- 160 CONTINUE
- GO TO 410
- 170 CONTINUE
-*
-* 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
- DO 180 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
- $ V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
- $ V7*C( 7, J ) + V8*C( 8, J ) + V9*C( 9, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- C( 4, J ) = C( 4, J ) - SUM*T4
- C( 5, J ) = C( 5, J ) - SUM*T5
- C( 6, J ) = C( 6, J ) - SUM*T6
- C( 7, J ) = C( 7, J ) - SUM*T7
- C( 8, J ) = C( 8, J ) - SUM*T8
- C( 9, J ) = C( 9, J ) - SUM*T9
- 180 CONTINUE
- GO TO 410
- 190 CONTINUE
-*
-* 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
- DO 200 J = 1, N
- SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
- $ V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
- $ V7*C( 7, J ) + V8*C( 8, J ) + V9*C( 9, J ) +
- $ V10*C( 10, J )
- C( 1, J ) = C( 1, J ) - SUM*T1
- C( 2, J ) = C( 2, J ) - SUM*T2
- C( 3, J ) = C( 3, J ) - SUM*T3
- C( 4, J ) = C( 4, J ) - SUM*T4
- C( 5, J ) = C( 5, J ) - SUM*T5
- C( 6, J ) = C( 6, J ) - SUM*T6
- C( 7, J ) = C( 7, J ) - SUM*T7
- C( 8, J ) = C( 8, J ) - SUM*T8
- C( 9, J ) = C( 9, J ) - SUM*T9
- C( 10, J ) = C( 10, J ) - SUM*T10
- 200 CONTINUE
- GO TO 410
- ELSE
-*
-* Form C * H, where H has order n.
-*
- GO TO ( 210, 230, 250, 270, 290, 310, 330, 350,
- $ 370, 390 )N
-*
-* Code for general N
-*
-* w := C * v
-*
- CALL DGEMV( 'No transpose', M, N, ONE, C, LDC, V, 1, ZERO,
- $ WORK, 1 )
-*
-* C := C - tau * w * v'
-*
- CALL DGER( M, N, -TAU, WORK, 1, V, 1, C, LDC )
- GO TO 410
- 210 CONTINUE
-*
-* Special code for 1 x 1 Householder
-*
- T1 = ONE - TAU*V( 1 )*V( 1 )
- DO 220 J = 1, M
- C( J, 1 ) = T1*C( J, 1 )
- 220 CONTINUE
- GO TO 410
- 230 CONTINUE
-*
-* Special code for 2 x 2 Householder
-*
- V1 = V( 1 )
- T1 = TAU*V1
- V2 = V( 2 )
- T2 = TAU*V2
- DO 240 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- 240 CONTINUE
- GO TO 410
- 250 CONTINUE
-*
-* 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
- DO 260 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- 260 CONTINUE
- GO TO 410
- 270 CONTINUE
-*
-* 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
- DO 280 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
- $ V4*C( J, 4 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- C( J, 4 ) = C( J, 4 ) - SUM*T4
- 280 CONTINUE
- GO TO 410
- 290 CONTINUE
-*
-* 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
- DO 300 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
- $ V4*C( J, 4 ) + V5*C( J, 5 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- C( J, 4 ) = C( J, 4 ) - SUM*T4
- C( J, 5 ) = C( J, 5 ) - SUM*T5
- 300 CONTINUE
- GO TO 410
- 310 CONTINUE
-*
-* 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
- DO 320 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
- $ V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- C( J, 4 ) = C( J, 4 ) - SUM*T4
- C( J, 5 ) = C( J, 5 ) - SUM*T5
- C( J, 6 ) = C( J, 6 ) - SUM*T6
- 320 CONTINUE
- GO TO 410
- 330 CONTINUE
-*
-* 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
- DO 340 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
- $ V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
- $ V7*C( J, 7 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- C( J, 4 ) = C( J, 4 ) - SUM*T4
- C( J, 5 ) = C( J, 5 ) - SUM*T5
- C( J, 6 ) = C( J, 6 ) - SUM*T6
- C( J, 7 ) = C( J, 7 ) - SUM*T7
- 340 CONTINUE
- GO TO 410
- 350 CONTINUE
-*
-* 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
- DO 360 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
- $ V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
- $ V7*C( J, 7 ) + V8*C( J, 8 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- C( J, 4 ) = C( J, 4 ) - SUM*T4
- C( J, 5 ) = C( J, 5 ) - SUM*T5
- C( J, 6 ) = C( J, 6 ) - SUM*T6
- C( J, 7 ) = C( J, 7 ) - SUM*T7
- C( J, 8 ) = C( J, 8 ) - SUM*T8
- 360 CONTINUE
- GO TO 410
- 370 CONTINUE
-*
-* 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
- DO 380 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
- $ V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
- $ V7*C( J, 7 ) + V8*C( J, 8 ) + V9*C( J, 9 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- C( J, 4 ) = C( J, 4 ) - SUM*T4
- C( J, 5 ) = C( J, 5 ) - SUM*T5
- C( J, 6 ) = C( J, 6 ) - SUM*T6
- C( J, 7 ) = C( J, 7 ) - SUM*T7
- C( J, 8 ) = C( J, 8 ) - SUM*T8
- C( J, 9 ) = C( J, 9 ) - SUM*T9
- 380 CONTINUE
- GO TO 410
- 390 CONTINUE
-*
-* 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
- DO 400 J = 1, M
- SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
- $ V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
- $ V7*C( J, 7 ) + V8*C( J, 8 ) + V9*C( J, 9 ) +
- $ V10*C( J, 10 )
- C( J, 1 ) = C( J, 1 ) - SUM*T1
- C( J, 2 ) = C( J, 2 ) - SUM*T2
- C( J, 3 ) = C( J, 3 ) - SUM*T3
- C( J, 4 ) = C( J, 4 ) - SUM*T4
- C( J, 5 ) = C( J, 5 ) - SUM*T5
- C( J, 6 ) = C( J, 6 ) - SUM*T6
- C( J, 7 ) = C( J, 7 ) - SUM*T7
- C( J, 8 ) = C( J, 8 ) - SUM*T8
- C( J, 9 ) = C( J, 9 ) - SUM*T9
- C( J, 10 ) = C( J, 10 ) - SUM*T10
- 400 CONTINUE
- GO TO 410
- END IF
- 410 CONTINUE
- RETURN
-*
-* End of DLARFX
-*
- END