root / src / lapack / double / dlarfb.f @ 10
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| 1 | 1 | pfleura2 | SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, |
|---|---|---|---|
| 2 | 1 | pfleura2 | $ T, LDT, C, LDC, WORK, LDWORK ) |
| 3 | 1 | pfleura2 | IMPLICIT NONE |
| 4 | 1 | pfleura2 | * |
| 5 | 1 | pfleura2 | * -- LAPACK auxiliary routine (version 3.2) -- |
| 6 | 1 | pfleura2 | * -- LAPACK is a software package provided by Univ. of Tennessee, -- |
| 7 | 1 | pfleura2 | * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
| 8 | 1 | pfleura2 | * November 2006 |
| 9 | 1 | pfleura2 | * |
| 10 | 1 | pfleura2 | * .. Scalar Arguments .. |
| 11 | 1 | pfleura2 | CHARACTER DIRECT, SIDE, STOREV, TRANS |
| 12 | 1 | pfleura2 | INTEGER K, LDC, LDT, LDV, LDWORK, M, N |
| 13 | 1 | pfleura2 | * .. |
| 14 | 1 | pfleura2 | * .. Array Arguments .. |
| 15 | 1 | pfleura2 | DOUBLE PRECISION C( LDC, * ), T( LDT, * ), V( LDV, * ), |
| 16 | 1 | pfleura2 | $ WORK( LDWORK, * ) |
| 17 | 1 | pfleura2 | * .. |
| 18 | 1 | pfleura2 | * |
| 19 | 1 | pfleura2 | * Purpose |
| 20 | 1 | pfleura2 | * ======= |
| 21 | 1 | pfleura2 | * |
| 22 | 1 | pfleura2 | * DLARFB applies a real block reflector H or its transpose H' to a |
| 23 | 1 | pfleura2 | * real m by n matrix C, from either the left or the right. |
| 24 | 1 | pfleura2 | * |
| 25 | 1 | pfleura2 | * Arguments |
| 26 | 1 | pfleura2 | * ========= |
| 27 | 1 | pfleura2 | * |
| 28 | 1 | pfleura2 | * SIDE (input) CHARACTER*1 |
| 29 | 1 | pfleura2 | * = 'L': apply H or H' from the Left |
| 30 | 1 | pfleura2 | * = 'R': apply H or H' from the Right |
| 31 | 1 | pfleura2 | * |
| 32 | 1 | pfleura2 | * TRANS (input) CHARACTER*1 |
| 33 | 1 | pfleura2 | * = 'N': apply H (No transpose) |
| 34 | 1 | pfleura2 | * = 'T': apply H' (Transpose) |
| 35 | 1 | pfleura2 | * |
| 36 | 1 | pfleura2 | * DIRECT (input) CHARACTER*1 |
| 37 | 1 | pfleura2 | * Indicates how H is formed from a product of elementary |
| 38 | 1 | pfleura2 | * reflectors |
| 39 | 1 | pfleura2 | * = 'F': H = H(1) H(2) . . . H(k) (Forward) |
| 40 | 1 | pfleura2 | * = 'B': H = H(k) . . . H(2) H(1) (Backward) |
| 41 | 1 | pfleura2 | * |
| 42 | 1 | pfleura2 | * STOREV (input) CHARACTER*1 |
| 43 | 1 | pfleura2 | * Indicates how the vectors which define the elementary |
| 44 | 1 | pfleura2 | * reflectors are stored: |
| 45 | 1 | pfleura2 | * = 'C': Columnwise |
| 46 | 1 | pfleura2 | * = 'R': Rowwise |
| 47 | 1 | pfleura2 | * |
| 48 | 1 | pfleura2 | * M (input) INTEGER |
| 49 | 1 | pfleura2 | * The number of rows of the matrix C. |
| 50 | 1 | pfleura2 | * |
| 51 | 1 | pfleura2 | * N (input) INTEGER |
| 52 | 1 | pfleura2 | * The number of columns of the matrix C. |
| 53 | 1 | pfleura2 | * |
| 54 | 1 | pfleura2 | * K (input) INTEGER |
| 55 | 1 | pfleura2 | * The order of the matrix T (= the number of elementary |
| 56 | 1 | pfleura2 | * reflectors whose product defines the block reflector). |
| 57 | 1 | pfleura2 | * |
| 58 | 1 | pfleura2 | * V (input) DOUBLE PRECISION array, dimension |
| 59 | 1 | pfleura2 | * (LDV,K) if STOREV = 'C' |
| 60 | 1 | pfleura2 | * (LDV,M) if STOREV = 'R' and SIDE = 'L' |
| 61 | 1 | pfleura2 | * (LDV,N) if STOREV = 'R' and SIDE = 'R' |
| 62 | 1 | pfleura2 | * The matrix V. See further details. |
| 63 | 1 | pfleura2 | * |
| 64 | 1 | pfleura2 | * LDV (input) INTEGER |
| 65 | 1 | pfleura2 | * The leading dimension of the array V. |
| 66 | 1 | pfleura2 | * If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M); |
| 67 | 1 | pfleura2 | * if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N); |
| 68 | 1 | pfleura2 | * if STOREV = 'R', LDV >= K. |
| 69 | 1 | pfleura2 | * |
| 70 | 1 | pfleura2 | * T (input) DOUBLE PRECISION array, dimension (LDT,K) |
| 71 | 1 | pfleura2 | * The triangular k by k matrix T in the representation of the |
| 72 | 1 | pfleura2 | * block reflector. |
| 73 | 1 | pfleura2 | * |
| 74 | 1 | pfleura2 | * LDT (input) INTEGER |
| 75 | 1 | pfleura2 | * The leading dimension of the array T. LDT >= K. |
| 76 | 1 | pfleura2 | * |
| 77 | 1 | pfleura2 | * C (input/output) DOUBLE PRECISION array, dimension (LDC,N) |
| 78 | 1 | pfleura2 | * On entry, the m by n matrix C. |
| 79 | 1 | pfleura2 | * On exit, C is overwritten by H*C or H'*C or C*H or C*H'. |
| 80 | 1 | pfleura2 | * |
| 81 | 1 | pfleura2 | * LDC (input) INTEGER |
| 82 | 1 | pfleura2 | * The leading dimension of the array C. LDA >= max(1,M). |
| 83 | 1 | pfleura2 | * |
| 84 | 1 | pfleura2 | * WORK (workspace) DOUBLE PRECISION array, dimension (LDWORK,K) |
| 85 | 1 | pfleura2 | * |
| 86 | 1 | pfleura2 | * LDWORK (input) INTEGER |
| 87 | 1 | pfleura2 | * The leading dimension of the array WORK. |
| 88 | 1 | pfleura2 | * If SIDE = 'L', LDWORK >= max(1,N); |
| 89 | 1 | pfleura2 | * if SIDE = 'R', LDWORK >= max(1,M). |
| 90 | 1 | pfleura2 | * |
| 91 | 1 | pfleura2 | * ===================================================================== |
| 92 | 1 | pfleura2 | * |
| 93 | 1 | pfleura2 | * .. Parameters .. |
| 94 | 1 | pfleura2 | DOUBLE PRECISION ONE |
| 95 | 1 | pfleura2 | PARAMETER ( ONE = 1.0D+0 ) |
| 96 | 1 | pfleura2 | * .. |
| 97 | 1 | pfleura2 | * .. Local Scalars .. |
| 98 | 1 | pfleura2 | CHARACTER TRANST |
| 99 | 1 | pfleura2 | INTEGER I, J, LASTV, LASTC |
| 100 | 1 | pfleura2 | * .. |
| 101 | 1 | pfleura2 | * .. External Functions .. |
| 102 | 1 | pfleura2 | LOGICAL LSAME |
| 103 | 1 | pfleura2 | INTEGER ILADLR, ILADLC |
| 104 | 1 | pfleura2 | EXTERNAL LSAME, ILADLR, ILADLC |
| 105 | 1 | pfleura2 | * .. |
| 106 | 1 | pfleura2 | * .. External Subroutines .. |
| 107 | 1 | pfleura2 | EXTERNAL DCOPY, DGEMM, DTRMM |
| 108 | 1 | pfleura2 | * .. |
| 109 | 1 | pfleura2 | * .. Executable Statements .. |
| 110 | 1 | pfleura2 | * |
| 111 | 1 | pfleura2 | * Quick return if possible |
| 112 | 1 | pfleura2 | * |
| 113 | 1 | pfleura2 | IF( M.LE.0 .OR. N.LE.0 ) |
| 114 | 1 | pfleura2 | $ RETURN |
| 115 | 1 | pfleura2 | * |
| 116 | 1 | pfleura2 | IF( LSAME( TRANS, 'N' ) ) THEN |
| 117 | 1 | pfleura2 | TRANST = 'T' |
| 118 | 1 | pfleura2 | ELSE |
| 119 | 1 | pfleura2 | TRANST = 'N' |
| 120 | 1 | pfleura2 | END IF |
| 121 | 1 | pfleura2 | * |
| 122 | 1 | pfleura2 | IF( LSAME( STOREV, 'C' ) ) THEN |
| 123 | 1 | pfleura2 | * |
| 124 | 1 | pfleura2 | IF( LSAME( DIRECT, 'F' ) ) THEN |
| 125 | 1 | pfleura2 | * |
| 126 | 1 | pfleura2 | * Let V = ( V1 ) (first K rows) |
| 127 | 1 | pfleura2 | * ( V2 ) |
| 128 | 1 | pfleura2 | * where V1 is unit lower triangular. |
| 129 | 1 | pfleura2 | * |
| 130 | 1 | pfleura2 | IF( LSAME( SIDE, 'L' ) ) THEN |
| 131 | 1 | pfleura2 | * |
| 132 | 1 | pfleura2 | * Form H * C or H' * C where C = ( C1 ) |
| 133 | 1 | pfleura2 | * ( C2 ) |
| 134 | 1 | pfleura2 | * |
| 135 | 1 | pfleura2 | LASTV = MAX( K, ILADLR( M, K, V, LDV ) ) |
| 136 | 1 | pfleura2 | LASTC = ILADLC( LASTV, N, C, LDC ) |
| 137 | 1 | pfleura2 | * |
| 138 | 1 | pfleura2 | * W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) |
| 139 | 1 | pfleura2 | * |
| 140 | 1 | pfleura2 | * W := C1' |
| 141 | 1 | pfleura2 | * |
| 142 | 1 | pfleura2 | DO 10 J = 1, K |
| 143 | 1 | pfleura2 | CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
| 144 | 1 | pfleura2 | 10 CONTINUE |
| 145 | 1 | pfleura2 | * |
| 146 | 1 | pfleura2 | * W := W * V1 |
| 147 | 1 | pfleura2 | * |
| 148 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', |
| 149 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 150 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 151 | 1 | pfleura2 | * |
| 152 | 1 | pfleura2 | * W := W + C2'*V2 |
| 153 | 1 | pfleura2 | * |
| 154 | 1 | pfleura2 | CALL DGEMM( 'Transpose', 'No transpose', |
| 155 | 1 | pfleura2 | $ LASTC, K, LASTV-K, |
| 156 | 1 | pfleura2 | $ ONE, C( K+1, 1 ), LDC, V( K+1, 1 ), LDV, |
| 157 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 158 | 1 | pfleura2 | END IF |
| 159 | 1 | pfleura2 | * |
| 160 | 1 | pfleura2 | * W := W * T' or W * T |
| 161 | 1 | pfleura2 | * |
| 162 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', |
| 163 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 164 | 1 | pfleura2 | * |
| 165 | 1 | pfleura2 | * C := C - V * W' |
| 166 | 1 | pfleura2 | * |
| 167 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 168 | 1 | pfleura2 | * |
| 169 | 1 | pfleura2 | * C2 := C2 - V2 * W' |
| 170 | 1 | pfleura2 | * |
| 171 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'Transpose', |
| 172 | 1 | pfleura2 | $ LASTV-K, LASTC, K, |
| 173 | 1 | pfleura2 | $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE, |
| 174 | 1 | pfleura2 | $ C( K+1, 1 ), LDC ) |
| 175 | 1 | pfleura2 | END IF |
| 176 | 1 | pfleura2 | * |
| 177 | 1 | pfleura2 | * W := W * V1' |
| 178 | 1 | pfleura2 | * |
| 179 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
| 180 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 181 | 1 | pfleura2 | * |
| 182 | 1 | pfleura2 | * C1 := C1 - W' |
| 183 | 1 | pfleura2 | * |
| 184 | 1 | pfleura2 | DO 30 J = 1, K |
| 185 | 1 | pfleura2 | DO 20 I = 1, LASTC |
| 186 | 1 | pfleura2 | C( J, I ) = C( J, I ) - WORK( I, J ) |
| 187 | 1 | pfleura2 | 20 CONTINUE |
| 188 | 1 | pfleura2 | 30 CONTINUE |
| 189 | 1 | pfleura2 | * |
| 190 | 1 | pfleura2 | ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
| 191 | 1 | pfleura2 | * |
| 192 | 1 | pfleura2 | * Form C * H or C * H' where C = ( C1 C2 ) |
| 193 | 1 | pfleura2 | * |
| 194 | 1 | pfleura2 | LASTV = MAX( K, ILADLR( N, K, V, LDV ) ) |
| 195 | 1 | pfleura2 | LASTC = ILADLR( M, LASTV, C, LDC ) |
| 196 | 1 | pfleura2 | * |
| 197 | 1 | pfleura2 | * W := C * V = (C1*V1 + C2*V2) (stored in WORK) |
| 198 | 1 | pfleura2 | * |
| 199 | 1 | pfleura2 | * W := C1 |
| 200 | 1 | pfleura2 | * |
| 201 | 1 | pfleura2 | DO 40 J = 1, K |
| 202 | 1 | pfleura2 | CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 ) |
| 203 | 1 | pfleura2 | 40 CONTINUE |
| 204 | 1 | pfleura2 | * |
| 205 | 1 | pfleura2 | * W := W * V1 |
| 206 | 1 | pfleura2 | * |
| 207 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', |
| 208 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 209 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 210 | 1 | pfleura2 | * |
| 211 | 1 | pfleura2 | * W := W + C2 * V2 |
| 212 | 1 | pfleura2 | * |
| 213 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'No transpose', |
| 214 | 1 | pfleura2 | $ LASTC, K, LASTV-K, |
| 215 | 1 | pfleura2 | $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV, |
| 216 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 217 | 1 | pfleura2 | END IF |
| 218 | 1 | pfleura2 | * |
| 219 | 1 | pfleura2 | * W := W * T or W * T' |
| 220 | 1 | pfleura2 | * |
| 221 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', |
| 222 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 223 | 1 | pfleura2 | * |
| 224 | 1 | pfleura2 | * C := C - W * V' |
| 225 | 1 | pfleura2 | * |
| 226 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 227 | 1 | pfleura2 | * |
| 228 | 1 | pfleura2 | * C2 := C2 - W * V2' |
| 229 | 1 | pfleura2 | * |
| 230 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'Transpose', |
| 231 | 1 | pfleura2 | $ LASTC, LASTV-K, K, |
| 232 | 1 | pfleura2 | $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE, |
| 233 | 1 | pfleura2 | $ C( 1, K+1 ), LDC ) |
| 234 | 1 | pfleura2 | END IF |
| 235 | 1 | pfleura2 | * |
| 236 | 1 | pfleura2 | * W := W * V1' |
| 237 | 1 | pfleura2 | * |
| 238 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
| 239 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 240 | 1 | pfleura2 | * |
| 241 | 1 | pfleura2 | * C1 := C1 - W |
| 242 | 1 | pfleura2 | * |
| 243 | 1 | pfleura2 | DO 60 J = 1, K |
| 244 | 1 | pfleura2 | DO 50 I = 1, LASTC |
| 245 | 1 | pfleura2 | C( I, J ) = C( I, J ) - WORK( I, J ) |
| 246 | 1 | pfleura2 | 50 CONTINUE |
| 247 | 1 | pfleura2 | 60 CONTINUE |
| 248 | 1 | pfleura2 | END IF |
| 249 | 1 | pfleura2 | * |
| 250 | 1 | pfleura2 | ELSE |
| 251 | 1 | pfleura2 | * |
| 252 | 1 | pfleura2 | * Let V = ( V1 ) |
| 253 | 1 | pfleura2 | * ( V2 ) (last K rows) |
| 254 | 1 | pfleura2 | * where V2 is unit upper triangular. |
| 255 | 1 | pfleura2 | * |
| 256 | 1 | pfleura2 | IF( LSAME( SIDE, 'L' ) ) THEN |
| 257 | 1 | pfleura2 | * |
| 258 | 1 | pfleura2 | * Form H * C or H' * C where C = ( C1 ) |
| 259 | 1 | pfleura2 | * ( C2 ) |
| 260 | 1 | pfleura2 | * |
| 261 | 1 | pfleura2 | LASTV = MAX( K, ILADLR( M, K, V, LDV ) ) |
| 262 | 1 | pfleura2 | LASTC = ILADLC( LASTV, N, C, LDC ) |
| 263 | 1 | pfleura2 | * |
| 264 | 1 | pfleura2 | * W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) |
| 265 | 1 | pfleura2 | * |
| 266 | 1 | pfleura2 | * W := C2' |
| 267 | 1 | pfleura2 | * |
| 268 | 1 | pfleura2 | DO 70 J = 1, K |
| 269 | 1 | pfleura2 | CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, |
| 270 | 1 | pfleura2 | $ WORK( 1, J ), 1 ) |
| 271 | 1 | pfleura2 | 70 CONTINUE |
| 272 | 1 | pfleura2 | * |
| 273 | 1 | pfleura2 | * W := W * V2 |
| 274 | 1 | pfleura2 | * |
| 275 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', |
| 276 | 1 | pfleura2 | $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
| 277 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 278 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 279 | 1 | pfleura2 | * |
| 280 | 1 | pfleura2 | * W := W + C1'*V1 |
| 281 | 1 | pfleura2 | * |
| 282 | 1 | pfleura2 | CALL DGEMM( 'Transpose', 'No transpose', |
| 283 | 1 | pfleura2 | $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
| 284 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 285 | 1 | pfleura2 | END IF |
| 286 | 1 | pfleura2 | * |
| 287 | 1 | pfleura2 | * W := W * T' or W * T |
| 288 | 1 | pfleura2 | * |
| 289 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', |
| 290 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 291 | 1 | pfleura2 | * |
| 292 | 1 | pfleura2 | * C := C - V * W' |
| 293 | 1 | pfleura2 | * |
| 294 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 295 | 1 | pfleura2 | * |
| 296 | 1 | pfleura2 | * C1 := C1 - V1 * W' |
| 297 | 1 | pfleura2 | * |
| 298 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'Transpose', |
| 299 | 1 | pfleura2 | $ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK, |
| 300 | 1 | pfleura2 | $ ONE, C, LDC ) |
| 301 | 1 | pfleura2 | END IF |
| 302 | 1 | pfleura2 | * |
| 303 | 1 | pfleura2 | * W := W * V2' |
| 304 | 1 | pfleura2 | * |
| 305 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
| 306 | 1 | pfleura2 | $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
| 307 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 308 | 1 | pfleura2 | * |
| 309 | 1 | pfleura2 | * C2 := C2 - W' |
| 310 | 1 | pfleura2 | * |
| 311 | 1 | pfleura2 | DO 90 J = 1, K |
| 312 | 1 | pfleura2 | DO 80 I = 1, LASTC |
| 313 | 1 | pfleura2 | C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J) |
| 314 | 1 | pfleura2 | 80 CONTINUE |
| 315 | 1 | pfleura2 | 90 CONTINUE |
| 316 | 1 | pfleura2 | * |
| 317 | 1 | pfleura2 | ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
| 318 | 1 | pfleura2 | * |
| 319 | 1 | pfleura2 | * Form C * H or C * H' where C = ( C1 C2 ) |
| 320 | 1 | pfleura2 | * |
| 321 | 1 | pfleura2 | LASTV = MAX( K, ILADLR( N, K, V, LDV ) ) |
| 322 | 1 | pfleura2 | LASTC = ILADLR( M, LASTV, C, LDC ) |
| 323 | 1 | pfleura2 | * |
| 324 | 1 | pfleura2 | * W := C * V = (C1*V1 + C2*V2) (stored in WORK) |
| 325 | 1 | pfleura2 | * |
| 326 | 1 | pfleura2 | * W := C2 |
| 327 | 1 | pfleura2 | * |
| 328 | 1 | pfleura2 | DO 100 J = 1, K |
| 329 | 1 | pfleura2 | CALL DCOPY( LASTC, C( 1, N-K+J ), 1, WORK( 1, J ), 1 ) |
| 330 | 1 | pfleura2 | 100 CONTINUE |
| 331 | 1 | pfleura2 | * |
| 332 | 1 | pfleura2 | * W := W * V2 |
| 333 | 1 | pfleura2 | * |
| 334 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', |
| 335 | 1 | pfleura2 | $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
| 336 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 337 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 338 | 1 | pfleura2 | * |
| 339 | 1 | pfleura2 | * W := W + C1 * V1 |
| 340 | 1 | pfleura2 | * |
| 341 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'No transpose', |
| 342 | 1 | pfleura2 | $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
| 343 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 344 | 1 | pfleura2 | END IF |
| 345 | 1 | pfleura2 | * |
| 346 | 1 | pfleura2 | * W := W * T or W * T' |
| 347 | 1 | pfleura2 | * |
| 348 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', |
| 349 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 350 | 1 | pfleura2 | * |
| 351 | 1 | pfleura2 | * C := C - W * V' |
| 352 | 1 | pfleura2 | * |
| 353 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 354 | 1 | pfleura2 | * |
| 355 | 1 | pfleura2 | * C1 := C1 - W * V1' |
| 356 | 1 | pfleura2 | * |
| 357 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'Transpose', |
| 358 | 1 | pfleura2 | $ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV, |
| 359 | 1 | pfleura2 | $ ONE, C, LDC ) |
| 360 | 1 | pfleura2 | END IF |
| 361 | 1 | pfleura2 | * |
| 362 | 1 | pfleura2 | * W := W * V2' |
| 363 | 1 | pfleura2 | * |
| 364 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
| 365 | 1 | pfleura2 | $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
| 366 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 367 | 1 | pfleura2 | * |
| 368 | 1 | pfleura2 | * C2 := C2 - W |
| 369 | 1 | pfleura2 | * |
| 370 | 1 | pfleura2 | DO 120 J = 1, K |
| 371 | 1 | pfleura2 | DO 110 I = 1, LASTC |
| 372 | 1 | pfleura2 | C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - WORK(I, J) |
| 373 | 1 | pfleura2 | 110 CONTINUE |
| 374 | 1 | pfleura2 | 120 CONTINUE |
| 375 | 1 | pfleura2 | END IF |
| 376 | 1 | pfleura2 | END IF |
| 377 | 1 | pfleura2 | * |
| 378 | 1 | pfleura2 | ELSE IF( LSAME( STOREV, 'R' ) ) THEN |
| 379 | 1 | pfleura2 | * |
| 380 | 1 | pfleura2 | IF( LSAME( DIRECT, 'F' ) ) THEN |
| 381 | 1 | pfleura2 | * |
| 382 | 1 | pfleura2 | * Let V = ( V1 V2 ) (V1: first K columns) |
| 383 | 1 | pfleura2 | * where V1 is unit upper triangular. |
| 384 | 1 | pfleura2 | * |
| 385 | 1 | pfleura2 | IF( LSAME( SIDE, 'L' ) ) THEN |
| 386 | 1 | pfleura2 | * |
| 387 | 1 | pfleura2 | * Form H * C or H' * C where C = ( C1 ) |
| 388 | 1 | pfleura2 | * ( C2 ) |
| 389 | 1 | pfleura2 | * |
| 390 | 1 | pfleura2 | LASTV = MAX( K, ILADLC( K, M, V, LDV ) ) |
| 391 | 1 | pfleura2 | LASTC = ILADLC( LASTV, N, C, LDC ) |
| 392 | 1 | pfleura2 | * |
| 393 | 1 | pfleura2 | * W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) |
| 394 | 1 | pfleura2 | * |
| 395 | 1 | pfleura2 | * W := C1' |
| 396 | 1 | pfleura2 | * |
| 397 | 1 | pfleura2 | DO 130 J = 1, K |
| 398 | 1 | pfleura2 | CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
| 399 | 1 | pfleura2 | 130 CONTINUE |
| 400 | 1 | pfleura2 | * |
| 401 | 1 | pfleura2 | * W := W * V1' |
| 402 | 1 | pfleura2 | * |
| 403 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
| 404 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 405 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 406 | 1 | pfleura2 | * |
| 407 | 1 | pfleura2 | * W := W + C2'*V2' |
| 408 | 1 | pfleura2 | * |
| 409 | 1 | pfleura2 | CALL DGEMM( 'Transpose', 'Transpose', |
| 410 | 1 | pfleura2 | $ LASTC, K, LASTV-K, |
| 411 | 1 | pfleura2 | $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV, |
| 412 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 413 | 1 | pfleura2 | END IF |
| 414 | 1 | pfleura2 | * |
| 415 | 1 | pfleura2 | * W := W * T' or W * T |
| 416 | 1 | pfleura2 | * |
| 417 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', |
| 418 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 419 | 1 | pfleura2 | * |
| 420 | 1 | pfleura2 | * C := C - V' * W' |
| 421 | 1 | pfleura2 | * |
| 422 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 423 | 1 | pfleura2 | * |
| 424 | 1 | pfleura2 | * C2 := C2 - V2' * W' |
| 425 | 1 | pfleura2 | * |
| 426 | 1 | pfleura2 | CALL DGEMM( 'Transpose', 'Transpose', |
| 427 | 1 | pfleura2 | $ LASTV-K, LASTC, K, |
| 428 | 1 | pfleura2 | $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK, |
| 429 | 1 | pfleura2 | $ ONE, C( K+1, 1 ), LDC ) |
| 430 | 1 | pfleura2 | END IF |
| 431 | 1 | pfleura2 | * |
| 432 | 1 | pfleura2 | * W := W * V1 |
| 433 | 1 | pfleura2 | * |
| 434 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', |
| 435 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 436 | 1 | pfleura2 | * |
| 437 | 1 | pfleura2 | * C1 := C1 - W' |
| 438 | 1 | pfleura2 | * |
| 439 | 1 | pfleura2 | DO 150 J = 1, K |
| 440 | 1 | pfleura2 | DO 140 I = 1, LASTC |
| 441 | 1 | pfleura2 | C( J, I ) = C( J, I ) - WORK( I, J ) |
| 442 | 1 | pfleura2 | 140 CONTINUE |
| 443 | 1 | pfleura2 | 150 CONTINUE |
| 444 | 1 | pfleura2 | * |
| 445 | 1 | pfleura2 | ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
| 446 | 1 | pfleura2 | * |
| 447 | 1 | pfleura2 | * Form C * H or C * H' where C = ( C1 C2 ) |
| 448 | 1 | pfleura2 | * |
| 449 | 1 | pfleura2 | LASTV = MAX( K, ILADLC( K, N, V, LDV ) ) |
| 450 | 1 | pfleura2 | LASTC = ILADLR( M, LASTV, C, LDC ) |
| 451 | 1 | pfleura2 | * |
| 452 | 1 | pfleura2 | * W := C * V' = (C1*V1' + C2*V2') (stored in WORK) |
| 453 | 1 | pfleura2 | * |
| 454 | 1 | pfleura2 | * W := C1 |
| 455 | 1 | pfleura2 | * |
| 456 | 1 | pfleura2 | DO 160 J = 1, K |
| 457 | 1 | pfleura2 | CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 ) |
| 458 | 1 | pfleura2 | 160 CONTINUE |
| 459 | 1 | pfleura2 | * |
| 460 | 1 | pfleura2 | * W := W * V1' |
| 461 | 1 | pfleura2 | * |
| 462 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
| 463 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 464 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 465 | 1 | pfleura2 | * |
| 466 | 1 | pfleura2 | * W := W + C2 * V2' |
| 467 | 1 | pfleura2 | * |
| 468 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'Transpose', |
| 469 | 1 | pfleura2 | $ LASTC, K, LASTV-K, |
| 470 | 1 | pfleura2 | $ ONE, C( 1, K+1 ), LDC, V( 1, K+1 ), LDV, |
| 471 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 472 | 1 | pfleura2 | END IF |
| 473 | 1 | pfleura2 | * |
| 474 | 1 | pfleura2 | * W := W * T or W * T' |
| 475 | 1 | pfleura2 | * |
| 476 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', |
| 477 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 478 | 1 | pfleura2 | * |
| 479 | 1 | pfleura2 | * C := C - W * V |
| 480 | 1 | pfleura2 | * |
| 481 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 482 | 1 | pfleura2 | * |
| 483 | 1 | pfleura2 | * C2 := C2 - W * V2 |
| 484 | 1 | pfleura2 | * |
| 485 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'No transpose', |
| 486 | 1 | pfleura2 | $ LASTC, LASTV-K, K, |
| 487 | 1 | pfleura2 | $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, |
| 488 | 1 | pfleura2 | $ ONE, C( 1, K+1 ), LDC ) |
| 489 | 1 | pfleura2 | END IF |
| 490 | 1 | pfleura2 | * |
| 491 | 1 | pfleura2 | * W := W * V1 |
| 492 | 1 | pfleura2 | * |
| 493 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', |
| 494 | 1 | pfleura2 | $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
| 495 | 1 | pfleura2 | * |
| 496 | 1 | pfleura2 | * C1 := C1 - W |
| 497 | 1 | pfleura2 | * |
| 498 | 1 | pfleura2 | DO 180 J = 1, K |
| 499 | 1 | pfleura2 | DO 170 I = 1, LASTC |
| 500 | 1 | pfleura2 | C( I, J ) = C( I, J ) - WORK( I, J ) |
| 501 | 1 | pfleura2 | 170 CONTINUE |
| 502 | 1 | pfleura2 | 180 CONTINUE |
| 503 | 1 | pfleura2 | * |
| 504 | 1 | pfleura2 | END IF |
| 505 | 1 | pfleura2 | * |
| 506 | 1 | pfleura2 | ELSE |
| 507 | 1 | pfleura2 | * |
| 508 | 1 | pfleura2 | * Let V = ( V1 V2 ) (V2: last K columns) |
| 509 | 1 | pfleura2 | * where V2 is unit lower triangular. |
| 510 | 1 | pfleura2 | * |
| 511 | 1 | pfleura2 | IF( LSAME( SIDE, 'L' ) ) THEN |
| 512 | 1 | pfleura2 | * |
| 513 | 1 | pfleura2 | * Form H * C or H' * C where C = ( C1 ) |
| 514 | 1 | pfleura2 | * ( C2 ) |
| 515 | 1 | pfleura2 | * |
| 516 | 1 | pfleura2 | LASTV = MAX( K, ILADLC( K, M, V, LDV ) ) |
| 517 | 1 | pfleura2 | LASTC = ILADLC( LASTV, N, C, LDC ) |
| 518 | 1 | pfleura2 | * |
| 519 | 1 | pfleura2 | * W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) |
| 520 | 1 | pfleura2 | * |
| 521 | 1 | pfleura2 | * W := C2' |
| 522 | 1 | pfleura2 | * |
| 523 | 1 | pfleura2 | DO 190 J = 1, K |
| 524 | 1 | pfleura2 | CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, |
| 525 | 1 | pfleura2 | $ WORK( 1, J ), 1 ) |
| 526 | 1 | pfleura2 | 190 CONTINUE |
| 527 | 1 | pfleura2 | * |
| 528 | 1 | pfleura2 | * W := W * V2' |
| 529 | 1 | pfleura2 | * |
| 530 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
| 531 | 1 | pfleura2 | $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
| 532 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 533 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 534 | 1 | pfleura2 | * |
| 535 | 1 | pfleura2 | * W := W + C1'*V1' |
| 536 | 1 | pfleura2 | * |
| 537 | 1 | pfleura2 | CALL DGEMM( 'Transpose', 'Transpose', |
| 538 | 1 | pfleura2 | $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
| 539 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 540 | 1 | pfleura2 | END IF |
| 541 | 1 | pfleura2 | * |
| 542 | 1 | pfleura2 | * W := W * T' or W * T |
| 543 | 1 | pfleura2 | * |
| 544 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', |
| 545 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 546 | 1 | pfleura2 | * |
| 547 | 1 | pfleura2 | * C := C - V' * W' |
| 548 | 1 | pfleura2 | * |
| 549 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 550 | 1 | pfleura2 | * |
| 551 | 1 | pfleura2 | * C1 := C1 - V1' * W' |
| 552 | 1 | pfleura2 | * |
| 553 | 1 | pfleura2 | CALL DGEMM( 'Transpose', 'Transpose', |
| 554 | 1 | pfleura2 | $ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK, |
| 555 | 1 | pfleura2 | $ ONE, C, LDC ) |
| 556 | 1 | pfleura2 | END IF |
| 557 | 1 | pfleura2 | * |
| 558 | 1 | pfleura2 | * W := W * V2 |
| 559 | 1 | pfleura2 | * |
| 560 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', |
| 561 | 1 | pfleura2 | $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
| 562 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 563 | 1 | pfleura2 | * |
| 564 | 1 | pfleura2 | * C2 := C2 - W' |
| 565 | 1 | pfleura2 | * |
| 566 | 1 | pfleura2 | DO 210 J = 1, K |
| 567 | 1 | pfleura2 | DO 200 I = 1, LASTC |
| 568 | 1 | pfleura2 | C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J) |
| 569 | 1 | pfleura2 | 200 CONTINUE |
| 570 | 1 | pfleura2 | 210 CONTINUE |
| 571 | 1 | pfleura2 | * |
| 572 | 1 | pfleura2 | ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
| 573 | 1 | pfleura2 | * |
| 574 | 1 | pfleura2 | * Form C * H or C * H' where C = ( C1 C2 ) |
| 575 | 1 | pfleura2 | * |
| 576 | 1 | pfleura2 | LASTV = MAX( K, ILADLC( K, N, V, LDV ) ) |
| 577 | 1 | pfleura2 | LASTC = ILADLR( M, LASTV, C, LDC ) |
| 578 | 1 | pfleura2 | * |
| 579 | 1 | pfleura2 | * W := C * V' = (C1*V1' + C2*V2') (stored in WORK) |
| 580 | 1 | pfleura2 | * |
| 581 | 1 | pfleura2 | * W := C2 |
| 582 | 1 | pfleura2 | * |
| 583 | 1 | pfleura2 | DO 220 J = 1, K |
| 584 | 1 | pfleura2 | CALL DCOPY( LASTC, C( 1, LASTV-K+J ), 1, |
| 585 | 1 | pfleura2 | $ WORK( 1, J ), 1 ) |
| 586 | 1 | pfleura2 | 220 CONTINUE |
| 587 | 1 | pfleura2 | * |
| 588 | 1 | pfleura2 | * W := W * V2' |
| 589 | 1 | pfleura2 | * |
| 590 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
| 591 | 1 | pfleura2 | $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
| 592 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 593 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 594 | 1 | pfleura2 | * |
| 595 | 1 | pfleura2 | * W := W + C1 * V1' |
| 596 | 1 | pfleura2 | * |
| 597 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'Transpose', |
| 598 | 1 | pfleura2 | $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
| 599 | 1 | pfleura2 | $ ONE, WORK, LDWORK ) |
| 600 | 1 | pfleura2 | END IF |
| 601 | 1 | pfleura2 | * |
| 602 | 1 | pfleura2 | * W := W * T or W * T' |
| 603 | 1 | pfleura2 | * |
| 604 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', |
| 605 | 1 | pfleura2 | $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
| 606 | 1 | pfleura2 | * |
| 607 | 1 | pfleura2 | * C := C - W * V |
| 608 | 1 | pfleura2 | * |
| 609 | 1 | pfleura2 | IF( LASTV.GT.K ) THEN |
| 610 | 1 | pfleura2 | * |
| 611 | 1 | pfleura2 | * C1 := C1 - W * V1 |
| 612 | 1 | pfleura2 | * |
| 613 | 1 | pfleura2 | CALL DGEMM( 'No transpose', 'No transpose', |
| 614 | 1 | pfleura2 | $ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV, |
| 615 | 1 | pfleura2 | $ ONE, C, LDC ) |
| 616 | 1 | pfleura2 | END IF |
| 617 | 1 | pfleura2 | * |
| 618 | 1 | pfleura2 | * W := W * V2 |
| 619 | 1 | pfleura2 | * |
| 620 | 1 | pfleura2 | CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', |
| 621 | 1 | pfleura2 | $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
| 622 | 1 | pfleura2 | $ WORK, LDWORK ) |
| 623 | 1 | pfleura2 | * |
| 624 | 1 | pfleura2 | * C1 := C1 - W |
| 625 | 1 | pfleura2 | * |
| 626 | 1 | pfleura2 | DO 240 J = 1, K |
| 627 | 1 | pfleura2 | DO 230 I = 1, LASTC |
| 628 | 1 | pfleura2 | C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - WORK(I, J) |
| 629 | 1 | pfleura2 | 230 CONTINUE |
| 630 | 1 | pfleura2 | 240 CONTINUE |
| 631 | 1 | pfleura2 | * |
| 632 | 1 | pfleura2 | END IF |
| 633 | 1 | pfleura2 | * |
| 634 | 1 | pfleura2 | END IF |
| 635 | 1 | pfleura2 | END IF |
| 636 | 1 | pfleura2 | * |
| 637 | 1 | pfleura2 | RETURN |
| 638 | 1 | pfleura2 | * |
| 639 | 1 | pfleura2 | * End of DLARFB |
| 640 | 1 | pfleura2 | * |
| 641 | 1 | pfleura2 | END |