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blas95.f90
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blas95.f90
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C FORTRAN BLAS INTERFACE ..
C COPYRIGHT 2013 HENRIK HOLST <[email protected]>
C
C YOU ARE FREE TO USE THIS IN ANY FSF APPROVED FREE LICENCED PROJECT.
C
MODULE BLAS
INTERFACE
SUBROUTINE CAXPY(N,CA,CX,INCX,CY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
COMPLEX CA,CX(*),CY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CCOPY(N,CX,INCX,CY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
COMPLEX CX(*),CY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
COMPLEX FUNCTION CDOTC(N,CX,INCX,CY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
COMPLEX CX(*),CY(*)
END FUNCTION
END INTERFACE
INTERFACE
COMPLEX FUNCTION CDOTU(N,CX,INCX,CY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
COMPLEX CX(*),CY(*)
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE CGBMV(TRANS,M,N,KL,KU,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,KL,KU,LDA,M,N
COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER TRANS
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
INTEGER K,LDA,LDB,LDC,M,N
COMPLEX ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER TRANSA,TRANSB
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,M,N
COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER TRANS
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CGERC(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,M,N
COMPLEX ALPHA,A(LDA,*),X(*),Y(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CGERU(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,M,N
COMPLEX ALPHA,A(LDA,*),X(*),Y(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHBMV(UPLO,N,K,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,K,LDA,N
COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHEMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
INTEGER LDA,LDB,LDC,M,N
COMPLEX ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER SIDE,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHEMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,N
COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHER(UPLO,N,ALPHA,X,INCX,A,LDA)
IMPLICIT NONE
REAL ALPHA
INTEGER INCX,LDA,N
COMPLEX A(LDA,*),X(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHER2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,N
COMPLEX ALPHA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHER2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
REAL BETA
INTEGER K,LDA,LDB,LDC,N
COMPLEX ALPHA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHERK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
IMPLICIT NONE
REAL ALPHA,BETA
INTEGER K,LDA,LDC,N
COMPLEX A(LDA,*),C(LDC,*)
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHPMV(UPLO,N,ALPHA,AP,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
COMPLEX ALPHA,BETA,AP(*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHPR(UPLO,N,ALPHA,X,INCX,AP)
IMPLICIT NONE
REAL ALPHA
INTEGER INCX,N
COMPLEX AP(*),X(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CHPR2(UPLO,N,ALPHA,X,INCX,Y,INCY,AP)
IMPLICIT NONE
INTEGER INCX,INCY,N
COMPLEX ALPHA,AP(*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CROTG(CA,CB,C,S)
IMPLICIT NONE
REAL C
COMPLEX CA,CB,S
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CSCAL(N,CA,CX,INCX)
IMPLICIT NONE
INTEGER INCX,N
COMPLEX CA,CX(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CSROT(N,CX,INCX,CY,INCY,C,S)
IMPLICIT NONE
REAL C,S
INTEGER INCX,INCY,N
COMPLEX CX(*),CY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CSSCAL(N,SA,CX,INCX)
IMPLICIT NONE
REAL SA
INTEGER INCX,N
COMPLEX CX(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CSWAP(N,CX,INCX,CY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
COMPLEX CX(*),CY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
INTEGER LDA,LDB,LDC,M,N
COMPLEX ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER SIDE,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CSYR2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
INTEGER K,LDA,LDB,LDC,N
COMPLEX ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
IMPLICIT NONE
INTEGER K,LDA,LDC,N
COMPLEX ALPHA,BETA,A(LDA,*),C(LDC,*)
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTBMV(UPLO,TRANS,DIAG,N,K,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,K,LDA,N
COMPLEX A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTBSV(UPLO,TRANS,DIAG,N,K,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,K,LDA,N
COMPLEX A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
IMPLICIT NONE
INTEGER INCX,N
COMPLEX AP(*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTPSV(UPLO,TRANS,DIAG,N,AP,X,INCX)
IMPLICIT NONE
INTEGER INCX,N
COMPLEX AP(*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
IMPLICIT NONE
INTEGER LDA,LDB,M,N
COMPLEX ALPHA,A(LDA,*),B(LDB,*)
CHARACTER DIAG,SIDE,TRANSA,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,LDA,N
COMPLEX A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
IMPLICIT NONE
INTEGER LDA,LDB,M,N
COMPLEX ALPHA,A(LDA,*),B(LDB,*)
CHARACTER DIAG,SIDE,TRANSA,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE CTRSV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,LDA,N
COMPLEX A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
DOUBLE PRECISION FUNCTION DASUM(N,DX,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION DX(*)
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE DAXPY(N,DA,DX,INCX,DY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION DA,DX(*),DY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
DOUBLE PRECISION FUNCTION DCABS1(Z)
IMPLICIT NONE
DOUBLE COMPLEX Z
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE DCOPY(N,DX,INCX,DY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION DX(*),DY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
DOUBLE PRECISION FUNCTION DDOT(N,DX,INCX,DY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION DX(*),DY(*)
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE DGBMV(TRANS,M,N,KL,KU,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,KL,KU,LDA,M,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER TRANS
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
INTEGER K,LDA,LDB,LDC,M,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER TRANSA,TRANSB
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,M,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER TRANS
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DGER(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,M,N
DOUBLE PRECISION ALPHA,A(LDA,*),X(*),Y(*)
END SUBROUTINE
END INTERFACE
INTERFACE
DOUBLE PRECISION FUNCTION DNRM2(N,X,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION X(*)
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE DROT(N,DX,INCX,DY,INCY,C,S)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION C,S,DX(*),DY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DROTG(DA,DB,C,S)
IMPLICIT NONE
DOUBLE PRECISION C,DA,DB,S
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DROTM(N,DX,INCX,DY,INCY,DPARAM)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION DPARAM(5),DX(*),DY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DROTMG(DD1,DD2,DX1,DY1,DPARAM)
IMPLICIT NONE
DOUBLE PRECISION DD1,DD2,DX1,DY1,DPARAM(5)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSBMV(UPLO,N,K,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,K,LDA,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSCAL(N,DA,DX,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION DA,DX(*)
END SUBROUTINE
END INTERFACE
INTERFACE
DOUBLE PRECISION FUNCTION DSDOT(N,SX,INCX,SY,INCY)
IMPLICIT NONE
REAL SX(*),SY(*)
INTEGER INCX,INCY,N
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE DSPMV(UPLO,N,ALPHA,AP,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION ALPHA,BETA,AP(*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSPR(UPLO,N,ALPHA,X,INCX,AP)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION ALPHA,AP(*),X(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSPR2(UPLO,N,ALPHA,X,INCX,Y,INCY,AP)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION ALPHA,AP(*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSWAP(N,DX,INCX,DY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION DX(*),DY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
INTEGER LDA,LDB,LDC,M,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER SIDE,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSYMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSYR(UPLO,N,ALPHA,X,INCX,A,LDA)
IMPLICIT NONE
INTEGER INCX,LDA,N
DOUBLE PRECISION ALPHA,A(LDA,*),X(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSYR2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
INTEGER INCX,INCY,LDA,N
DOUBLE PRECISION ALPHA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSYR2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
INTEGER K,LDA,LDB,LDC,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
IMPLICIT NONE
INTEGER K,LDA,LDC,N
DOUBLE PRECISION ALPHA,BETA,A(LDA,*),C(LDC,*)
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTBMV(UPLO,TRANS,DIAG,N,K,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,K,LDA,N
DOUBLE PRECISION A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTBSV(UPLO,TRANS,DIAG,N,K,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,K,LDA,N
DOUBLE PRECISION A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION AP(*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTPSV(UPLO,TRANS,DIAG,N,AP,X,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION AP(*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
IMPLICIT NONE
INTEGER LDA,LDB,M,N
DOUBLE PRECISION ALPHA,A(LDA,*),B(LDB,*)
CHARACTER DIAG,SIDE,TRANSA,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,LDA,N
DOUBLE PRECISION A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
IMPLICIT NONE
INTEGER LDA,LDB,M,N
DOUBLE PRECISION ALPHA,A(LDA,*),B(LDB,*)
CHARACTER DIAG,SIDE,TRANSA,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE DTRSV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
IMPLICIT NONE
INTEGER INCX,LDA,N
DOUBLE PRECISION A(LDA,*),X(*)
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
DOUBLE PRECISION FUNCTION DZASUM(N,ZX,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE COMPLEX ZX(*)
END FUNCTION
END INTERFACE
INTERFACE
DOUBLE PRECISION FUNCTION DZNRM2(N,X,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE COMPLEX X(*)
END FUNCTION
END INTERFACE
INTERFACE
INTEGER FUNCTION ICAMAX(N,CX,INCX)
IMPLICIT NONE
INTEGER INCX,N
COMPLEX CX(*)
END FUNCTION
END INTERFACE
INTERFACE
INTEGER FUNCTION IDAMAX(N,DX,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION DX(*)
END FUNCTION
END INTERFACE
INTERFACE
INTEGER FUNCTION ISAMAX(N,SX,INCX)
IMPLICIT NONE
REAL SX(*)
INTEGER INCX,N
END FUNCTION
END INTERFACE
INTERFACE
INTEGER FUNCTION IZAMAX(N,ZX,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE COMPLEX ZX(*)
END FUNCTION
END INTERFACE
INTERFACE
LOGICAL FUNCTION LSAME(CA,CB)
IMPLICIT NONE
CHARACTER CA,CB
END FUNCTION
END INTERFACE
INTERFACE
REAL FUNCTION SASUM(N,SX,INCX)
IMPLICIT NONE
REAL SX(*)
INTEGER INCX,N
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE SAXPY(N,SA,SX,INCX,SY,INCY)
IMPLICIT NONE
REAL SA,SX(*),SY(*)
INTEGER INCX,INCY,N
END SUBROUTINE
END INTERFACE
INTERFACE
REAL FUNCTION SCABS1(Z)
IMPLICIT NONE
COMPLEX Z
END FUNCTION
END INTERFACE
INTERFACE
REAL FUNCTION SCASUM(N,CX,INCX)
IMPLICIT NONE
INTEGER INCX,N
COMPLEX CX(*)
END FUNCTION
END INTERFACE
INTERFACE
REAL FUNCTION SCNRM2(N,X,INCX)
IMPLICIT NONE
INTEGER INCX,N
COMPLEX X(*)
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE SCOPY(N,SX,INCX,SY,INCY)
IMPLICIT NONE
REAL SX(*),SY(*)
INTEGER INCX,INCY,N
END SUBROUTINE
END INTERFACE
INTERFACE
REAL FUNCTION SDOT(N,SX,INCX,SY,INCY)
IMPLICIT NONE
REAL SX(*),SY(*)
INTEGER INCX,INCY,N
END FUNCTION
END INTERFACE
INTERFACE
REAL FUNCTION SDSDOT(N,SB,SX,INCX,SY,INCY)
IMPLICIT NONE
REAL SB,SX(*),SY(*)
INTEGER INCX,INCY,N
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE SGBMV(TRANS,M,N,KL,KU,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,KL,KU,LDA,M,N
CHARACTER TRANS
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
INTEGER K,LDA,LDB,LDC,M,N
CHARACTER TRANSA,TRANSB
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,LDA,M,N
CHARACTER TRANS
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SGER(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
REAL ALPHA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,LDA,M,N
END SUBROUTINE
END INTERFACE
INTERFACE
REAL FUNCTION SNRM2(N,X,INCX)
IMPLICIT NONE
REAL X(*)
INTEGER INCX,N
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE SROT(N,SX,INCX,SY,INCY,C,S)
IMPLICIT NONE
REAL C,S,SX(*),SY(*)
INTEGER INCX,INCY,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SROTG(SA,SB,C,S)
IMPLICIT NONE
REAL C,S,SA,SB
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SROTM(N,SX,INCX,SY,INCY,SPARAM)
IMPLICIT NONE
REAL SPARAM(5),SX(*),SY(*)
INTEGER INCX,INCY,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SROTMG(SD1,SD2,SX1,SY1,SPARAM)
IMPLICIT NONE
REAL SD1,SD2,SX1,SY1,SPARAM(5)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSBMV(UPLO,N,K,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,K,LDA,N
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSCAL(N,SA,SX,INCX)
IMPLICIT NONE
REAL SA,SX(*)
INTEGER INCX,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSPMV(UPLO,N,ALPHA,AP,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
REAL ALPHA,BETA,AP(*),X(*),Y(*)
INTEGER INCX,INCY,N
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSPR(UPLO,N,ALPHA,X,INCX,AP)
IMPLICIT NONE
REAL ALPHA,AP(*),X(*)
INTEGER INCX,N
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSPR2(UPLO,N,ALPHA,X,INCX,Y,INCY,AP)
IMPLICIT NONE
REAL ALPHA,AP(*),X(*),Y(*)
INTEGER INCX,INCY,N
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSWAP(N,SX,INCX,SY,INCY)
IMPLICIT NONE
REAL SX(*),SY(*)
INTEGER INCX,INCY,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSYMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
INTEGER LDA,LDB,LDC,M,N
CHARACTER SIDE,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSYMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,LDA,N
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSYR(UPLO,N,ALPHA,X,INCX,A,LDA)
IMPLICIT NONE
REAL ALPHA,A(LDA,*),X(*)
INTEGER INCX,LDA,N
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSYR2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
REAL ALPHA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,LDA,N
CHARACTER UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSYR2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
INTEGER K,LDA,LDB,LDC,N
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE SSYRK(UPLO,TRANS,N,K,ALPHA,A,LDA,BETA,C,LDC)
IMPLICIT NONE
REAL ALPHA,BETA,A(LDA,*),C(LDC,*)
INTEGER K,LDA,LDC,N
CHARACTER TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STBMV(UPLO,TRANS,DIAG,N,K,A,LDA,X,INCX)
IMPLICIT NONE
REAL A(LDA,*),X(*)
INTEGER INCX,K,LDA,N
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STBSV(UPLO,TRANS,DIAG,N,K,A,LDA,X,INCX)
IMPLICIT NONE
REAL A(LDA,*),X(*)
INTEGER INCX,K,LDA,N
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
IMPLICIT NONE
REAL AP(*),X(*)
INTEGER INCX,N
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STPSV(UPLO,TRANS,DIAG,N,AP,X,INCX)
IMPLICIT NONE
REAL AP(*),X(*)
INTEGER INCX,N
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
IMPLICIT NONE
REAL ALPHA,A(LDA,*),B(LDB,*)
INTEGER LDA,LDB,M,N
CHARACTER DIAG,SIDE,TRANSA,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
IMPLICIT NONE
REAL A(LDA,*),X(*)
INTEGER INCX,LDA,N
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
IMPLICIT NONE
REAL ALPHA,A(LDA,*),B(LDB,*)
INTEGER LDA,LDB,M,N
CHARACTER DIAG,SIDE,TRANSA,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE STRSV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
IMPLICIT NONE
REAL A(LDA,*),X(*)
INTEGER INCX,LDA,N
CHARACTER DIAG,TRANS,UPLO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE XERBLA(SRNAME,INFO)
IMPLICIT NONE
CHARACTER*(*) SRNAME
INTEGER INFO
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZAXPY(N,ZA,ZX,INCX,ZY,INCY)
IMPLICIT NONE
DOUBLE COMPLEX ZA,ZX(*),ZY(*)
INTEGER INCX,INCY,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZCOPY(N,ZX,INCX,ZY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE COMPLEX ZX(*),ZY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
DOUBLE COMPLEX FUNCTION ZDOTC(N,ZX,INCX,ZY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE COMPLEX ZX(*),ZY(*)
END FUNCTION
END INTERFACE
INTERFACE
DOUBLE COMPLEX FUNCTION ZDOTU(N,ZX,INCX,ZY,INCY)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE COMPLEX ZX(*),ZY(*)
END FUNCTION
END INTERFACE
INTERFACE
SUBROUTINE ZDROT(N,CX,INCX,CY,INCY,C,S)
IMPLICIT NONE
INTEGER INCX,INCY,N
DOUBLE PRECISION C,S
COMPLEX*16 CX(*),CY(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZDSCAL(N,DA,ZX,INCX)
IMPLICIT NONE
INTEGER INCX,N
DOUBLE PRECISION DA
DOUBLE COMPLEX ZX(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZGBMV(TRANS,M,N,KL,KU,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER TRANS
INTEGER INCX,INCY,KL,KU,LDA,M,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER TRANSA,TRANSB
INTEGER K,LDA,LDB,LDC,M,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER TRANS
INTEGER INCX,INCY,LDA,M,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZGERC(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,LDA,M,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZGERU(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,A(LDA,*),X(*),Y(*)
INTEGER INCX,INCY,LDA,M,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZHBMV(UPLO,N,K,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
INTEGER INCX,INCY,K,LDA,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZHEMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,BETA,A(LDA,*),B(LDB,*),C(LDC,*)
CHARACTER SIDE,UPLO
INTEGER LDA,LDB,LDC,M,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZHEMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,BETA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
INTEGER INCX,INCY,LDA,N
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZHER(UPLO,N,ALPHA,X,INCX,A,LDA)
IMPLICIT NONE
INTEGER INCX,LDA,N
DOUBLE PRECISION ALPHA
CHARACTER UPLO
DOUBLE COMPLEX A(LDA,*),X(*)
END SUBROUTINE
END INTERFACE
INTERFACE
SUBROUTINE ZHER2(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
IMPLICIT NONE
DOUBLE COMPLEX ALPHA,A(LDA,*),X(*),Y(*)
CHARACTER UPLO
INTEGER INCX,INCY,LDA,N
END SUBROUTINE
END INTERFACE
INTERFACE