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| | 1 | |
| | 2 | /* -- translated by f2c (version 19940927). |
| | 3 | You must link the resulting object file with the libraries: |
| | 4 | -lf2c -lm (in that order) |
| | 5 | */ |
| | 6 | |
| | 7 | #include "f2c.h" |
| | 8 | |
| | 9 | /* Subroutine */ int dgemm_(char *transa, char *transb, integer *m, integer * |
| | 10 | n, integer *k, doublereal *alpha, doublereal *a, integer *lda, |
| | 11 | doublereal *b, integer *ldb, doublereal *beta, doublereal *c, integer |
| | 12 | *ldc) |
| | 13 | { |
| | 14 | |
| | 15 | |
| | 16 | /* System generated locals */ |
| | 17 | integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2, |
| | 18 | i__3; |
| | 19 | |
| | 20 | /* Local variables */ |
| | 21 | static integer info; |
| | 22 | static logical nota, notb; |
| | 23 | static doublereal temp; |
| | 24 | static integer i, j, l, ncola; |
| | 25 | extern logical lsame_(char *, char *); |
| | 26 | static integer nrowa, nrowb; |
| | 27 | extern /* Subroutine */ int xerbla_(char *, integer *); |
| | 28 | |
| | 29 | |
| | 30 | /* Purpose |
| | 31 | ======= |
| | 32 | |
| | 33 | DGEMM performs one of the matrix-matrix operations |
| | 34 | |
| | 35 | C := alpha*op( A )*op( B ) + beta*C, |
| | 36 | |
| | 37 | where op( X ) is one of |
| | 38 | |
| | 39 | op( X ) = X or op( X ) = X', |
| | 40 | |
| | 41 | alpha and beta are scalars, and A, B and C are matrices, with op( A ) |
| | 42 | |
| | 43 | an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. |
| | 44 | |
| | 45 | |
| | 46 | Parameters |
| | 47 | ========== |
| | 48 | |
| | 49 | TRANSA - CHARACTER*1. |
| | 50 | On entry, TRANSA specifies the form of op( A ) to be used in |
| | 51 | |
| | 52 | the matrix multiplication as follows: |
| | 53 | |
| | 54 | TRANSA = 'N' or 'n', op( A ) = A. |
| | 55 | |
| | 56 | TRANSA = 'T' or 't', op( A ) = A'. |
| | 57 | |
| | 58 | TRANSA = 'C' or 'c', op( A ) = A'. |
| | 59 | |
| | 60 | Unchanged on exit. |
| | 61 | |
| | 62 | TRANSB - CHARACTER*1. |
| | 63 | On entry, TRANSB specifies the form of op( B ) to be used in |
| | 64 | |
| | 65 | the matrix multiplication as follows: |
| | 66 | |
| | 67 | TRANSB = 'N' or 'n', op( B ) = B. |
| | 68 | |
| | 69 | TRANSB = 'T' or 't', op( B ) = B'. |
| | 70 | |
| | 71 | TRANSB = 'C' or 'c', op( B ) = B'. |
| | 72 | |
| | 73 | Unchanged on exit. |
| | 74 | |
| | 75 | M - INTEGER. |
| | 76 | On entry, M specifies the number of rows of the matrix |
| | 77 | |
| | 78 | op( A ) and of the matrix C. M must be at least zero. |
| | 79 | |
| | 80 | Unchanged on exit. |
| | 81 | |
| | 82 | N - INTEGER. |
| | 83 | On entry, N specifies the number of columns of the matrix |
| | 84 | |
| | 85 | op( B ) and the number of columns of the matrix C. N must be |
| | 86 | |
| | 87 | at least zero. |
| | 88 | Unchanged on exit. |
| | 89 | |
| | 90 | K - INTEGER. |
| | 91 | On entry, K specifies the number of columns of the matrix |
| | 92 | |
| | 93 | op( A ) and the number of rows of the matrix op( B ). K must |
| | 94 | |
| | 95 | be at least zero. |
| | 96 | Unchanged on exit. |
| | 97 | |
| | 98 | ALPHA - DOUBLE PRECISION. |
| | 99 | On entry, ALPHA specifies the scalar alpha. |
| | 100 | Unchanged on exit. |
| | 101 | |
| | 102 | A - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is |
| | 103 | |
| | 104 | k when TRANSA = 'N' or 'n', and is m otherwise. |
| | 105 | Before entry with TRANSA = 'N' or 'n', the leading m by k |
| | 106 | |
| | 107 | part of the array A must contain the matrix A, otherwise |
| | 108 | |
| | 109 | the leading k by m part of the array A must contain the |
| | 110 | |
| | 111 | matrix A. |
| | 112 | Unchanged on exit. |
| | 113 | |
| | 114 | LDA - INTEGER. |
| | 115 | On entry, LDA specifies the first dimension of A as declared |
| | 116 | |
| | 117 | in the calling (sub) program. When TRANSA = 'N' or 'n' then |
| | 118 | |
| | 119 | LDA must be at least max( 1, m ), otherwise LDA must be at |
| | 120 | |
| | 121 | least max( 1, k ). |
| | 122 | Unchanged on exit. |
| | 123 | |
| | 124 | B - DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is |
| | 125 | |
| | 126 | n when TRANSB = 'N' or 'n', and is k otherwise. |
| | 127 | Before entry with TRANSB = 'N' or 'n', the leading k by n |
| | 128 | |
| | 129 | part of the array B must contain the matrix B, otherwise |
| | 130 | |
| | 131 | the leading n by k part of the array B must contain the |
| | 132 | |
| | 133 | matrix B. |
| | 134 | Unchanged on exit. |
| | 135 | |
| | 136 | LDB - INTEGER. |
| | 137 | On entry, LDB specifies the first dimension of B as declared |
| | 138 | |
| | 139 | in the calling (sub) program. When TRANSB = 'N' or 'n' then |
| | 140 | |
| | 141 | LDB must be at least max( 1, k ), otherwise LDB must be at |
| | 142 | |
| | 143 | least max( 1, n ). |
| | 144 | Unchanged on exit. |
| | 145 | |
| | 146 | BETA - DOUBLE PRECISION. |
| | 147 | On entry, BETA specifies the scalar beta. When BETA is |
| | 148 | |
| | 149 | supplied as zero then C need not be set on input. |
| | 150 | Unchanged on exit. |
| | 151 | |
| | 152 | C - DOUBLE PRECISION array of DIMENSION ( LDC, n ). |
| | 153 | Before entry, the leading m by n part of the array C must |
| | 154 | |
| | 155 | contain the matrix C, except when beta is zero, in which |
| | 156 | |
| | 157 | case C need not be set on entry. |
| | 158 | On exit, the array C is overwritten by the m by n matrix |
| | 159 | |
| | 160 | ( alpha*op( A )*op( B ) + beta*C ). |
| | 161 | |
| | 162 | LDC - INTEGER. |
| | 163 | On entry, LDC specifies the first dimension of C as declared |
| | 164 | |
| | 165 | in the calling (sub) program. LDC must be at least |
| | 166 | |
| | 167 | max( 1, m ). |
| | 168 | Unchanged on exit. |
| | 169 | |
| | 170 | |
| | 171 | Level 3 Blas routine. |
| | 172 | |
| | 173 | -- Written on 8-February-1989. |
| | 174 | Jack Dongarra, Argonne National Laboratory. |
| | 175 | Iain Duff, AERE Harwell. |
| | 176 | Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| | 177 | Sven Hammarling, Numerical Algorithms Group Ltd. |
| | 178 | |
| | 179 | |
| | 180 | |
| | 181 | Set NOTA and NOTB as true if A and B respectively are not |
| | 182 | |
| | 183 | transposed and set NROWA, NCOLA and NROWB as the number of rows |
| | 184 | |
| | 185 | and columns of A and the number of rows of B respectively. |
| | 186 | |
| | 187 | |
| | 188 | |
| | 189 | Parameter adjustments |
| | 190 | Function Body */ |
| | 191 | |
| | 192 | #define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)] |
| | 193 | #define B(I,J) b[(I)-1 + ((J)-1)* ( *ldb)] |
| | 194 | #define C(I,J) c[(I)-1 + ((J)-1)* ( *ldc)] |
| | 195 | |
| | 196 | nota = lsame_(transa, "N"); |
| | 197 | notb = lsame_(transb, "N"); |
| | 198 | if (nota) { |
| | 199 | nrowa = *m; |
| | 200 | ncola = *k; |
| | 201 | } else { |
| | 202 | nrowa = *k; |
| | 203 | ncola = *m; |
| | 204 | } |
| | 205 | if (notb) { |
| | 206 | nrowb = *k; |
| | 207 | } else { |
| | 208 | nrowb = *n; |
| | 209 | } |
| | 210 | |
| | 211 | /* Test the input parameters. */ |
| | 212 | |
| | 213 | info = 0; |
| | 214 | if (! nota && ! lsame_(transa, "C") && ! lsame_(transa, "T")) { |
| | 215 | info = 1; |
| | 216 | } else if (! notb && ! lsame_(transb, "C") && ! lsame_(transb, |
| | 217 | "T")) { |
| | 218 | info = 2; |
| | 219 | } else if (*m < 0) { |
| | 220 | info = 3; |
| | 221 | } else if (*n < 0) { |
| | 222 | info = 4; |
| | 223 | } else if (*k < 0) { |
| | 224 | info = 5; |
| | 225 | } else if (*lda < max(1,nrowa)) { |
| | 226 | info = 8; |
| | 227 | } else if (*ldb < max(1,nrowb)) { |
| | 228 | info = 10; |
| | 229 | } else if (*ldc < max(1,*m)) { |
| | 230 | info = 13; |
| | 231 | } |
| | 232 | if (info != 0) { |
| | 233 | xerbla_("DGEMM ", &info); |
| | 234 | return 0; |
| | 235 | } |
| | 236 | |
| | 237 | /* Quick return if possible. */ |
| | 238 | |
| | 239 | if (*m == 0 || *n == 0 || (*alpha == 0. || *k == 0) && *beta == 1.) { |
| | 240 | return 0; |
| | 241 | } |
| | 242 | |
| | 243 | /* And if alpha.eq.zero. */ |
| | 244 | |
| | 245 | if (*alpha == 0.) { |
| | 246 | if (*beta == 0.) { |
| | 247 | i__1 = *n; |
| | 248 | for (j = 1; j <= *n; ++j) { |
| | 249 | i__2 = *m; |
| | 250 | for (i = 1; i <= *m; ++i) { |
| | 251 | C(i,j) = 0.; |
| | 252 | /* L10: */ |
| | 253 | } |
| | 254 | /* L20: */ |
| | 255 | } |
| | 256 | } else { |
| | 257 | i__1 = *n; |
| | 258 | for (j = 1; j <= *n; ++j) { |
| | 259 | i__2 = *m; |
| | 260 | for (i = 1; i <= *m; ++i) { |
| | 261 | C(i,j) = *beta * C(i,j); |
| | 262 | /* L30: */ |
| | 263 | } |
| | 264 | /* L40: */ |
| | 265 | } |
| | 266 | } |
| | 267 | return 0; |
| | 268 | } |
| | 269 | |
| | 270 | /* Start the operations. */ |
| | 271 | |
| | 272 | if (notb) { |
| | 273 | if (nota) { |
| | 274 | |
| | 275 | /* Form C := alpha*A*B + beta*C. */ |
| | 276 | |
| | 277 | i__1 = *n; |
| | 278 | for (j = 1; j <= *n; ++j) { |
| | 279 | if (*beta == 0.) { |
| | 280 | i__2 = *m; |
| | 281 | for (i = 1; i <= *m; ++i) { |
| | 282 | C(i,j) = 0.; |
| | 283 | /* L50: */ |
| | 284 | } |
| | 285 | } else if (*beta != 1.) { |
| | 286 | i__2 = *m; |
| | 287 | for (i = 1; i <= *m; ++i) { |
| | 288 | C(i,j) = *beta * C(i,j); |
| | 289 | /* L60: */ |
| | 290 | } |
| | 291 | } |
| | 292 | i__2 = *k; |
| | 293 | for (l = 1; l <= *k; ++l) { |
| | 294 | if (B(l,j) != 0.) { |
| | 295 | temp = *alpha * B(l,j); |
| | 296 | i__3 = *m; |
| | 297 | for (i = 1; i <= *m; ++i) { |
| | 298 | C(i,j) += temp * A(i,l); |
| | 299 | /* L70: */ |
| | 300 | } |
| | 301 | } |
| | 302 | /* L80: */ |
| | 303 | } |
| | 304 | /* L90: */ |
| | 305 | } |
| | 306 | } else { |
| | 307 | |
| | 308 | /* Form C := alpha*A'*B + beta*C */ |
| | 309 | |
| | 310 | i__1 = *n; |
| | 311 | for (j = 1; j <= *n; ++j) { |
| | 312 | i__2 = *m; |
| | 313 | for (i = 1; i <= *m; ++i) { |
| | 314 | temp = 0.; |
| | 315 | i__3 = *k; |
| | 316 | for (l = 1; l <= *k; ++l) { |
| | 317 | temp += A(l,i) * B(l,j); |
| | 318 | /* L100: */ |
| | 319 | } |
| | 320 | if (*beta == 0.) { |
| | 321 | C(i,j) = *alpha * temp; |
| | 322 | } else { |
| | 323 | C(i,j) = *alpha * temp + *beta * C(i,j); |
| | 324 | } |
| | 325 | /* L110: */ |
| | 326 | } |
| | 327 | /* L120: */ |
| | 328 | } |
| | 329 | } |
| | 330 | } else { |
| | 331 | if (nota) { |
| | 332 | |
| | 333 | /* Form C := alpha*A*B' + beta*C */ |
| | 334 | |
| | 335 | i__1 = *n; |
| | 336 | for (j = 1; j <= *n; ++j) { |
| | 337 | if (*beta == 0.) { |
| | 338 | i__2 = *m; |
| | 339 | for (i = 1; i <= *m; ++i) { |
| | 340 | C(i,j) = 0.; |
| | 341 | /* L130: */ |
| | 342 | } |
| | 343 | } else if (*beta != 1.) { |
| | 344 | i__2 = *m; |
| | 345 | for (i = 1; i <= *m; ++i) { |
| | 346 | C(i,j) = *beta * C(i,j); |
| | 347 | /* L140: */ |
| | 348 | } |
| | 349 | } |
| | 350 | i__2 = *k; |
| | 351 | for (l = 1; l <= *k; ++l) { |
| | 352 | if (B(j,l) != 0.) { |
| | 353 | temp = *alpha * B(j,l); |
| | 354 | i__3 = *m; |
| | 355 | for (i = 1; i <= *m; ++i) { |
| | 356 | C(i,j) += temp * A(i,l); |
| | 357 | /* L150: */ |
| | 358 | } |
| | 359 | } |
| | 360 | /* L160: */ |
| | 361 | } |
| | 362 | /* L170: */ |
| | 363 | } |
| | 364 | } else { |
| | 365 | |
| | 366 | /* Form C := alpha*A'*B' + beta*C */ |
| | 367 | |
| | 368 | i__1 = *n; |
| | 369 | for (j = 1; j <= *n; ++j) { |
| | 370 | i__2 = *m; |
| | 371 | for (i = 1; i <= *m; ++i) { |
| | 372 | temp = 0.; |
| | 373 | i__3 = *k; |
| | 374 | for (l = 1; l <= *k; ++l) { |
| | 375 | temp += A(l,i) * B(j,l); |
| | 376 | /* L180: */ |
| | 377 | } |
| | 378 | if (*beta == 0.) { |
| | 379 | C(i,j) = *alpha * temp; |
| | 380 | } else { |
| | 381 | C(i,j) = *alpha * temp + *beta * C(i,j); |
| | 382 | } |
| | 383 | /* L190: */ |
| | 384 | } |
| | 385 | /* L200: */ |
| | 386 | } |
| | 387 | } |
| | 388 | } |
| | 389 | |
| | 390 | return 0; |
| | 391 | |
| | 392 | /* End of DGEMM . */ |
| | 393 | |
| | 394 | } /* dgemm_ */ |
| | 395 | |