| /* |
| * R : A Computer Language for Statistical Data Analysis |
| * Copyright (C) 2003-2019 The R Core Team. |
| * |
| * This header file is free software; you can redistribute it and/or modify |
| * it under the terms of the GNU Lesser General Public License as published by |
| * the Free Software Foundation; either version 2.1 of the License, or |
| * (at your option) any later version. |
| * |
| * This file is part of R. R is distributed under the terms of the |
| * GNU General Public License, either Version 2, June 1991 or Version 3, |
| * June 2007. See doc/COPYRIGHTS for details of the copyright status of R. |
| * |
| * This program is distributed in the hope that it will be useful, |
| * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| * GNU Lesser General Public License for more details. |
| * |
| * You should have received a copy of the GNU Lesser General Public License |
| * along with this program; if not, a copy is available at |
| * https://www.R-project.org/Licenses/ |
| */ |
| |
| /* |
| C declarations of BLAS Fortran subroutines always available in R. |
| |
| Part of the API. |
| |
| R packages that use these should have PKG_LIBS in src/Makevars include |
| $(BLAS_LIBS) $(FLIBS) |
| */ |
| |
| /* Part of the API */ |
| |
| #ifndef R_BLAS_H |
| #define R_BLAS_H |
| |
| #include <R_ext/RS.h> /* for F77_... */ |
| #include <R_ext/Complex.h> /* for Rcomplex */ |
| |
| #ifdef FC_LEN_T |
| # include <stddef.h> // for size_t if needed |
| # define FCLEN ,FC_LEN_T |
| # define FCONE ,(FC_LEN_T)1 |
| #else |
| # define FCLEN |
| # define FCONE |
| #endif |
| |
| #ifdef __cplusplus |
| extern "C" { |
| #endif |
| |
| // never defined in R itself. |
| #ifndef BLAS_extern |
| #define BLAS_extern extern |
| #endif |
| |
| /* Double Precision Level 1 BLAS */ |
| |
| BLAS_extern double /* DASUM - sum of absolute values of a one-dimensional array */ |
| F77_NAME(dasum)(const int *n, const double *dx, const int *incx); |
| BLAS_extern void /* DAXPY - replace y by da*x + y */ |
| F77_NAME(daxpy)(const int *n, const double *da, |
| const double *dx, const int *incx, |
| double *dy, const int *incy); |
| BLAS_extern void /* DCOPY - copy x to y */ |
| F77_NAME(dcopy)(const int *n, const double *dx, const int *incx, |
| double *dy, const int *incy); |
| BLAS_extern double /* DDOT - inner product of x and y */ |
| F77_NAME(ddot)(const int *n, const double *dx, const int *incx, |
| const double *dy, const int *incy); |
| BLAS_extern double /* DNRM2 - 2-norm of a vector */ |
| F77_NAME(dnrm2)(const int *n, const double *dx, const int *incx); |
| BLAS_extern void /* DROT - apply a Given's rotation */ |
| F77_NAME(drot)(const int *n, double *dx, const int *incx, |
| double *dy, const int *incy, const double *c, const double *s); |
| BLAS_extern void /* DROTG - generate a Given's rotation */ |
| F77_NAME(drotg)(const double *a, const double *b, double *c, double *s); |
| BLAS_extern void /* DROTM - apply a modified Given's rotation */ |
| F77_NAME(drotm)(const int *n, double *dx, const int *incx, |
| double *dy, const int *incy, const double *dparam); |
| BLAS_extern void /* DROTMG - generate a modified Given's rotation */ |
| F77_NAME(drotmg)(const double *dd1, const double *dd2, const double *dx1, |
| const double *dy1, double *param); |
| BLAS_extern void /* DSCAL - scale a one-dimensional array */ |
| F77_NAME(dscal)(const int *n, const double *alpha, double *dx, const int *incx); |
| BLAS_extern void /* DSWAP - interchange one-dimensional arrays */ |
| F77_NAME(dswap)(const int *n, double *dx, const int *incx, |
| double *dy, const int *incy); |
| BLAS_extern int /* IDAMAX - return the index of the element with max abs value */ |
| F77_NAME(idamax)(const int *n, const double *dx, const int *incx); |
| |
| /* Double Precision Level 2 BLAS */ |
| |
| /* DGBMV - perform one of the matrix-vector operations */ |
| /* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, */ |
| BLAS_extern void |
| F77_NAME(dgbmv)(const char *trans, const int *m, const int *n, |
| const int *kl,const int *ku, |
| const double *alpha, const double *a, const int *lda, |
| const double *x, const int *incx, |
| const double *beta, double *y, const int *incy FCLEN); |
| /* DGEMV - perform one of the matrix-vector operations */ |
| /* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, */ |
| BLAS_extern void |
| F77_NAME(dgemv)(const char *trans, const int *m, const int *n, |
| const double *alpha, const double *a, const int *lda, |
| const double *x, const int *incx, const double *beta, |
| double *y, const int *incy FCLEN); |
| /* DSBMV - perform the matrix-vector operation */ |
| /* y := alpha*A*x + beta*y, */ |
| BLAS_extern void |
| F77_NAME(dsbmv)(const char *uplo, const int *n, const int *k, |
| const double *alpha, const double *a, const int *lda, |
| const double *x, const int *incx, |
| const double *beta, double *y, const int *incy FCLEN); |
| /* DSPMV - perform the matrix-vector operation */ |
| /* y := alpha*A*x + beta*y, */ |
| BLAS_extern void |
| F77_NAME(dspmv)(const char *uplo, const int *n, |
| const double *alpha, const double *ap, |
| const double *x, const int *incx, |
| const double *beta, double *y, const int *incy FCLEN); |
| |
| /* DSYMV - perform the matrix-vector operation */ |
| /* y := alpha*A*x + beta*y, */ |
| BLAS_extern void |
| F77_NAME(dsymv)(const char *uplo, const int *n, const double *alpha, |
| const double *a, const int *lda, |
| const double *x, const int *incx, |
| const double *beta, double *y, const int *incy FCLEN); |
| /* DTBMV - perform one of the matrix-vector operations */ |
| /* x := A*x, or x := A'*x, */ |
| BLAS_extern void |
| F77_NAME(dtbmv)(const char *uplo, const char *trans, |
| const char *diag, const int *n, const int *k, |
| const double *a, const int *lda, |
| double *x, const int *incx FCLEN FCLEN FCLEN); |
| /* DTPMV - perform one of the matrix-vector operations */ |
| /* x := A*x, or x := A'*x, */ |
| BLAS_extern void |
| F77_NAME(dtpmv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const double *ap, |
| double *x, const int *incx FCLEN FCLEN FCLEN); |
| /* DTRMV - perform one of the matrix-vector operations */ |
| /* x := A*x, or x := A'*x, */ |
| BLAS_extern void |
| F77_NAME(dtrmv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const double *a, const int *lda, |
| double *x, const int *incx FCLEN FCLEN FCLEN); |
| /* DTBSV - solve one of the systems of equations */ |
| /* A*x = b, or A'*x = b, */ |
| BLAS_extern void |
| F77_NAME(dtbsv)(const char *uplo, const char *trans, |
| const char *diag, const int *n, const int *k, |
| const double *a, const int *lda, |
| double *x, const int *incx FCLEN FCLEN FCLEN); |
| /* DTPSV - solve one of the systems of equations */ |
| /* A*x = b, or A'*x = b, */ |
| BLAS_extern void |
| F77_NAME(dtpsv)(const char *uplo, const char *trans, |
| const char *diag, const int *n, |
| const double *ap, double *x, const int *incx |
| FCLEN FCLEN FCLEN); |
| /* DTRSV - solve one of the systems of equations */ |
| /* A*x = b, or A'*x = b, */ |
| BLAS_extern void |
| F77_NAME(dtrsv)(const char *uplo, const char *trans, |
| const char *diag, const int *n, |
| const double *a, const int *lda, |
| double *x, const int *incx FCLEN FCLEN FCLEN); |
| /* DGER - perform the rank 1 operation A := alpha*x*y' + A */ |
| BLAS_extern void |
| F77_NAME(dger)(const int *m, const int *n, const double *alpha, |
| const double *x, const int *incx, |
| const double *y, const int *incy, |
| double *a, const int *lda); |
| /* DSYR - perform the symmetric rank 1 operation A := alpha*x*x' + A */ |
| BLAS_extern void |
| F77_NAME(dsyr)(const char *uplo, const int *n, const double *alpha, |
| const double *x, const int *incx, |
| double *a, const int *lda FCLEN); |
| /* DSPR - perform the symmetric rank 1 operation A := alpha*x*x' + A */ |
| BLAS_extern void |
| F77_NAME(dspr)(const char *uplo, const int *n, const double *alpha, |
| const double *x, const int *incx, double *ap FCLEN); |
| /* DSYR2 - perform the symmetric rank 2 operation */ |
| /* A := alpha*x*y' + alpha*y*x' + A, */ |
| BLAS_extern void |
| F77_NAME(dsyr2)(const char *uplo, const int *n, const double *alpha, |
| const double *x, const int *incx, |
| const double *y, const int *incy, |
| double *a, const int *lda FCLEN); |
| /* DSPR2 - perform the symmetric rank 2 operation */ |
| /* A := alpha*x*y' + alpha*y*x' + A, */ |
| BLAS_extern void |
| F77_NAME(dspr2)(const char *uplo, const int *n, const double *alpha, |
| const double *x, const int *incx, |
| const double *y, const int *incy, double *ap FCLEN); |
| |
| /* Double Precision Level 3 BLAS */ |
| |
| /* DGEMM - perform one of the matrix-matrix operations */ |
| /* C := alpha*op( A )*op( B ) + beta*C */ |
| BLAS_extern void |
| F77_NAME(dgemm)(const char *transa, const char *transb, const int *m, |
| const int *n, const int *k, const double *alpha, |
| const double *a, const int *lda, |
| const double *b, const int *ldb, |
| const double *beta, double *c, const int *ldc |
| FCLEN FCLEN); |
| /* DTRSM - solve one of the matrix equations */ |
| /* op(A)*X = alpha*B, or X*op(A) = alpha*B */ |
| BLAS_extern void |
| F77_NAME(dtrsm)(const char *side, const char *uplo, |
| const char *transa, const char *diag, |
| const int *m, const int *n, const double *alpha, |
| const double *a, const int *lda, |
| double *b, const int *ldb |
| FCLEN FCLEN FCLEN FCLEN); |
| /* DTRMM - perform one of the matrix-matrix operations */ |
| /* B := alpha*op( A )*B, or B := alpha*B*op( A ) */ |
| BLAS_extern void |
| F77_NAME(dtrmm)(const char *side, const char *uplo, const char *transa, |
| const char *diag, const int *m, const int *n, |
| const double *alpha, const double *a, const int *lda, |
| double *b, const int *ldb |
| FCLEN FCLEN FCLEN FCLEN); |
| /* DSYMM - perform one of the matrix-matrix operations */ |
| /* C := alpha*A*B + beta*C, */ |
| BLAS_extern void |
| F77_NAME(dsymm)(const char *side, const char *uplo, const int *m, |
| const int *n, const double *alpha, |
| const double *a, const int *lda, |
| const double *b, const int *ldb, |
| const double *beta, double *c, const int *ldc |
| FCLEN FCLEN); |
| /* DSYRK - perform one of the symmetric rank k operations */ |
| /* C := alpha*A*A' + beta*C or C := alpha*A'*A + beta*C */ |
| BLAS_extern void |
| F77_NAME(dsyrk)(const char *uplo, const char *trans, |
| const int *n, const int *k, |
| const double *alpha, const double *a, const int *lda, |
| const double *beta, double *c, const int *ldc |
| FCLEN FCLEN); |
| /* DSYR2K - perform one of the symmetric rank 2k operations */ |
| /* C := alpha*A*B' + alpha*B*A' + beta*C or */ |
| /* C := alpha*A'*B + alpha*B'*A + beta*C */ |
| BLAS_extern void |
| F77_NAME(dsyr2k)(const char *uplo, const char *trans, |
| const int *n, const int *k, |
| const double *alpha, const double *a, const int *lda, |
| const double *b, const int *ldb, |
| const double *beta, double *c, const int *ldc |
| FCLEN FCLEN); |
| /* |
| LSAME is a LAPACK support routine, not part of BLAS |
| */ |
| |
| /* Double complex BLAS routines added for 2.3.0 */ |
| /* #ifdef HAVE_FORTRAN_DOUBLE_COMPLEX */ |
| BLAS_extern double |
| F77_NAME(dcabs1)(const Rcomplex *z); |
| BLAS_extern double |
| F77_NAME(dzasum)(const int *n, const Rcomplex *zx, const int *incx); |
| BLAS_extern double |
| F77_NAME(dznrm2)(const int *n, const Rcomplex *x, const int *incx); |
| BLAS_extern int |
| F77_NAME(izamax)(const int *n, const Rcomplex *zx, const int *incx); |
| BLAS_extern void |
| F77_NAME(zaxpy)(const int *n, const Rcomplex *za, const Rcomplex *zx, |
| const int *incx, const Rcomplex *zy, const int *incy); |
| BLAS_extern void |
| F77_NAME(zcopy)(const int *n, const Rcomplex *zx, const int *incx, |
| const Rcomplex *zy, const int *incy); |
| |
| /* WARNING! The next two return a value that may not be |
| compatible between C and Fortran, and even if it is, this might |
| not be the right translation to C. Only use after |
| configure-testing with your compilers. |
| */ |
| BLAS_extern Rcomplex |
| F77_NAME(zdotc)(const int *n, |
| const Rcomplex *zx, const int *incx, |
| const Rcomplex *zy, const int *incy); |
| BLAS_extern Rcomplex |
| F77_NAME(zdotu)(const int *n, |
| const Rcomplex *zx, const int *incx, |
| const Rcomplex *zy, const int *incy); |
| |
| BLAS_extern void |
| F77_NAME(zdrot)(const int *n, |
| const Rcomplex *zx, const int *incx, |
| Rcomplex *zy, const int *incy, |
| const double *c, const double *s); |
| BLAS_extern void |
| F77_NAME(zdscal)(const int *n, const double *da, |
| Rcomplex *zx, const int *incx); |
| BLAS_extern void |
| F77_NAME(zgbmv)(const char *trans, int *m, int *n, int *kl, |
| int *ku, Rcomplex *alpha, Rcomplex *a, int *lda, |
| Rcomplex *x, int *incx, Rcomplex *beta, Rcomplex *y, |
| int *incy FCLEN); |
| BLAS_extern void |
| F77_NAME(zgemm)(const char *transa, const char *transb, const int *m, |
| const int *n, const int *k, const Rcomplex *alpha, |
| const Rcomplex *a, const int *lda, |
| const Rcomplex *b, const int *ldb, |
| const Rcomplex *beta, Rcomplex *c, const int *ldc |
| FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(zgemv)(const char *trans, const int *m, const int *n, |
| const Rcomplex *alpha, const Rcomplex *a, const int *lda, |
| const Rcomplex *x, const int *incx, const Rcomplex *beta, |
| Rcomplex *y, const int *incy FCLEN); |
| BLAS_extern void |
| F77_NAME(zgerc)(const int *m, const int *n, const Rcomplex *alpha, |
| const Rcomplex *x, const int *incx, const Rcomplex *y, |
| const int *incy, Rcomplex *a, const int *lda); |
| BLAS_extern void |
| F77_NAME(zgeru)(const int *m, const int *n, const Rcomplex *alpha, |
| const Rcomplex *x, const int *incx, const Rcomplex *y, |
| const int *incy, Rcomplex *a, const int *lda); |
| BLAS_extern void |
| F77_NAME(zhbmv)(const char *uplo, const int *n, const int *k, |
| const Rcomplex *alpha, const Rcomplex *a, const int *lda, |
| const Rcomplex *x, const int *incx, const Rcomplex *beta, |
| Rcomplex *y, const int *incy FCLEN); |
| BLAS_extern void |
| F77_NAME(zhemm)(const char *side, const char *uplo, const int *m, |
| const int *n, const Rcomplex *alpha, const Rcomplex *a, |
| const int *lda, const Rcomplex *b, const int *ldb, |
| const Rcomplex *beta, Rcomplex *c, const int *ldc |
| FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(zhemv)(const char *uplo, const int *n, const Rcomplex *alpha, |
| const Rcomplex *a, const int *lda, const Rcomplex *x, |
| const int *incx, const Rcomplex *beta, |
| Rcomplex *y, const int *incy FCLEN); |
| BLAS_extern void |
| F77_NAME(zher)(const char *uplo, const int *n, const double *alpha, |
| const Rcomplex *x, const int *incx, Rcomplex *a, |
| const int *lda FCLEN); |
| BLAS_extern void |
| F77_NAME(zher2)(const char *uplo, const int *n, const Rcomplex *alpha, |
| const Rcomplex *x, const int *incx, const Rcomplex *y, |
| const int *incy, Rcomplex *a, const int *lda FCLEN); |
| BLAS_extern void |
| F77_NAME(zher2k)(const char *uplo, const char *trans, const int *n, |
| const int *k, const Rcomplex *alpha, const Rcomplex *a, |
| const int *lda, const Rcomplex *b, const int *ldb, |
| const double *beta, Rcomplex *c, const int *ldc |
| FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(zherk)(const char *uplo, const char *trans, const int *n, |
| const int *k, const double *alpha, const Rcomplex *a, |
| const int *lda, const double *beta, Rcomplex *c, |
| const int *ldc FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(zhpmv)(const char *uplo, const int *n, const Rcomplex *alpha, |
| const Rcomplex *ap, const Rcomplex *x, const int *incx, |
| const Rcomplex * beta, Rcomplex *y, const int *incy |
| FCLEN); |
| BLAS_extern void |
| F77_NAME(zhpr)(const char *uplo, const int *n, const double *alpha, |
| const Rcomplex *x, const int *incx, Rcomplex *ap |
| FCLEN); |
| BLAS_extern void |
| F77_NAME(zhpr2)(const char *uplo, const int *n, const Rcomplex *alpha, |
| const Rcomplex *x, const int *incx, const Rcomplex *y, |
| const int *incy, Rcomplex *ap FCLEN); |
| BLAS_extern void |
| F77_NAME(zrotg)(const Rcomplex *ca, const Rcomplex *cb, |
| double *c, Rcomplex *s); |
| BLAS_extern void |
| F77_NAME(zscal)(const int *n, const Rcomplex *za, Rcomplex *zx, |
| const int *incx); |
| BLAS_extern void |
| F77_NAME(zswap)(const int *n, Rcomplex *zx, const int *incx, |
| Rcomplex *zy, const int *incy); |
| BLAS_extern void |
| F77_NAME(zsymm)(const char *side, const char *uplo, const int *m, |
| const int *n, const Rcomplex *alpha, const Rcomplex *a, |
| const int *lda, const Rcomplex *b, const int *ldb, |
| const Rcomplex *beta, Rcomplex *c, const int *ldc |
| FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(zsyr2k)(const char *uplo, const char *trans, int *n, int *k, |
| Rcomplex *alpha, Rcomplex *a, int *lda, Rcomplex *b, |
| int *ldb, Rcomplex *beta, Rcomplex *c, int *ldc |
| FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(zsyrk)(const char *uplo, const char *trans, const int *n, |
| const int *k, const Rcomplex *alpha, const Rcomplex *a, |
| const int *lda, const Rcomplex *beta, Rcomplex *c, |
| const int *ldc FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztbmv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const int *k, const Rcomplex *a, |
| const int *lda, Rcomplex *x, const int *incx |
| FCLEN FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztbsv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const int *k, const Rcomplex *a, |
| const int *lda, Rcomplex *x, const int *incx |
| FCLEN FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztpmv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const Rcomplex *ap, Rcomplex *x, |
| const int *incx FCLEN FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztpsv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const Rcomplex *ap, Rcomplex *x, |
| const int *incx FCLEN FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztrmm)(const char *side, const char *uplo, const char *transa, |
| const char *diag, const int *m, const int *n, |
| const Rcomplex *alpha, const Rcomplex *a, |
| const int *lda, Rcomplex *b, const int *ldb |
| FCLEN FCLEN FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztrmv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const Rcomplex *a, const int *lda, |
| Rcomplex *x, const int *incx |
| FCLEN FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztrsm)(const char *side, const char *uplo, const char *transa, |
| const char *diag, int *m, int *n, Rcomplex *alpha, |
| Rcomplex *a, int *lda, Rcomplex *b, int *ldb |
| FCLEN FCLEN FCLEN FCLEN); |
| BLAS_extern void |
| F77_NAME(ztrsv)(const char *uplo, const char *trans, const char *diag, |
| const int *n, const Rcomplex *a, const int *lda, |
| Rcomplex *x, const int *incx |
| FCLEN FCLEN FCLEN); |
| /* #endif */ |
| |
| #ifdef __cplusplus |
| } |
| #endif |
| |
| #endif /* R_BLAS_H */ |
