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! -*- f90 -*-
! Signatures for f2py-wrappers of FORTRAN LEVEL 3 BLAS functions.
!
! Author: Pearu Peterson
! Created: April 2002
! Modified: Fabian Pedregosa, 2011; Evgeni Burovski, 2013
!
! Implemented:
! gemm, symm, hemm, syrk, herk, syr2k, her2k, trmm
!
! Not Implemented:
! trsm
!
subroutine <prefix>gemm(m,n,k,alpha,a,b,beta,c,trans_a,trans_b,lda,ka,ldb,kb)
! Computes a scalar-matrix-matrix product and adds the result to a
! scalar-matrix product.
!
! c = gemm(alpha,a,b,beta=0,c=0,trans_a=0,trans_b=0,overwrite_c=0)
! Calculate C <- alpha * op(A) * op(B) + beta * C
callstatement (*f2py_func)((trans_a?(trans_a==2?"C":"T"):"N"), &
(trans_b?(trans_b==2?"C":"T"):"N"),&m,&n,&k,&alpha,a,&lda,b,&ldb,&beta,c,&m)
callprotoargument char*,char*,int*,int*,int*,<ctype>*,<ctype>*,int*,<ctype>*, &
int*,<ctype>*,<ctype>*,int*
integer optional,intent(in),check(trans_a>=0 && trans_a <=2) :: trans_a = 0
integer optional,intent(in),check(trans_b>=0 && trans_b <=2) :: trans_b = 0
<ftype> intent(in) :: alpha
<ftype> intent(in),optional :: beta = <0.0,\0,(0.0\,0.0),\2>
<ftype> dimension(lda,ka),intent(in) :: a
<ftype> dimension(ldb,kb),intent(in) :: b
<ftype> dimension(m,n),intent(in,out,copy),depend(m,n),optional :: c
check(shape(c,0)==m && shape(c,1)==n) :: c
integer depend(a),intent(hide) :: lda = shape(a,0)
integer depend(a),intent(hide) :: ka = shape(a,1)
integer depend(b),intent(hide) :: ldb = shape(b,0)
integer depend(b),intent(hide) :: kb = shape(b,1)
integer depend(a,trans_a,ka,lda),intent(hide):: m = (trans_a?ka:lda)
integer depend(a,trans_a,ka,lda),intent(hide):: k = (trans_a?lda:ka)
integer depend(b,trans_b,kb,ldb,k),intent(hide),check(trans_b?kb==k:ldb==k) :: &
n = (trans_b?ldb:kb)
end subroutine <prefix>gemm
! <ftype6=real,double precision,complex,double complex,\2,\3>
! <ctype6=float,double,complex_float,complex_double,\2,\3>
! <prefix6=s,d,c,z,c,z>
subroutine <prefix6><sy,\0,\0,\0,he,he>mm(m, n, alpha, a, b, beta, c, side, lower, lda, ka, ldb, kb)
! Computes a scalar-matrix-matrix product and adds the result to a
! scalar-matrix product, where one of the matrices is symmetric.
!
! c = symm(alpha,a,b,beta=0,c=0,side=0,lower=0,overwrite_c=0)
! Calculate C <- alpha * A * B + beta * C, or
! C <- alpha * B * A + beta * C
callstatement (*f2py_func)((side?"R":"L"), &
(lower?"L":"U"),&m,&n,&alpha,a,&lda,b,&ldb,&beta,c,&m)
callprotoargument char*,char*,int*,int*,<ctype6>*,<ctype6>*,int*,<ctype6>*, &
int*,<ctype6>*,<ctype6>*,int*
integer optional, intent(in),check(side==0||side==1) :: side = 0
integer optional, intent(in),check(lower==0||lower==1) :: lower = 0
<ftype6> intent(in) :: alpha
<ftype6> intent(in),optional :: beta = <0.0,\0,(0.0\,0.0),\2,\2,\2>
<ftype6> dimension(lda,ka),intent(in) :: a
<ftype6> dimension(ldb,kb),intent(in) :: b
<ftype6> dimension(m,n),intent(in,out,copy),depend(m,n), optional :: c
check(shape(c,0)==m && shape(c,1)==n) :: c
integer depend(a), intent(hide) :: lda=shape(a,0)
integer depend(a), intent(hide) :: ka = shape(a,1)
integer depend(b), intent(hide) :: ldb = shape(b,0)
integer depend(b), intent(hide) :: kb = shape(b, 1)
integer depend(side, a, lda, b, ldb), intent(hide) :: m= (side ? ldb : lda)
integer depend(side, a, lda, ka, b, ldb, kb), intent(hide), &
check(side? kb==lda : ka==ldb) :: n = (side ? ka : kb)
end subroutine <prefix6><sy,\0,\0,\0,he,he>mm
subroutine <prefix6><sy,\0,\0,\0,he,he>rk(n,k,alpha,a,beta,c,trans,lower,lda,ka)
! performs one of the symmetric rank k operations
! C := alpha*A*A**T + beta*C, or C := alpha*A**T*A + beta*C,
!
! c = syrk(alpha,a,beta=0,c=0,trans=0,lower=0,overwrite_c=0)
!
callstatement (*f2py_func)((lower?"L":"U"), &
(trans?(trans==2?"C":"T"):"N"), &n,&k,&alpha,a,&lda,&beta,c,&n)
callprotoargument char*,char*,int*,int*,<ctype6>*,<ctype6>*,int*,<ctype6>*, &
<ctype6>*,int*
integer optional, intent(in),check(lower==0||lower==1) :: lower = 0
integer optional,intent(in),check(trans>=0 && trans <=2) :: trans = 0
<ftype6> intent(in) :: alpha
<ftype6> intent(in),optional :: beta = <0.0,\0,(0.0\,0.0),\2,\2,\2>
<ftype6> dimension(lda,ka),intent(in) :: a
<ftype6> dimension(n,n),intent(in,out,copy),depend(n),optional :: c
check(shape(c,0)==n && shape(c,1)==n) :: c
integer depend(a),intent(hide) :: lda = shape(a,0)
integer depend(a),intent(hide) :: ka = shape(a,1)
integer depend(a, trans, ka, lda), intent(hide) :: n = (trans ? ka : lda)
integer depend(a, trans, ka, lda), intent(hide) :: k = (trans ? lda : ka)
end subroutine <prefix6><sy,\0,\0,\0,he,he>rk
subroutine <prefix6><sy,\0,\0,\0,he,he>r2k(n,k,alpha,a,b,beta,c,trans,lower,lda,ka, ldb, kb)
! performs one of the symmetric/hermitian rank 2k operations
! C := alpha*A*B**T + alpha*B*A**T + beta*C, or
! C:=alpha*A**T*B + alpha*B**T*A + beta*C
!
! c = syr2k(alpha,a,b,beta=0,c=0,trans=0,lower=0,overwrite_c=0)
!
callstatement (*f2py_func)((lower?"L":"U"), &
(trans?(trans==2?"C":"T"):"N"), &n,&k,&alpha,a,&lda,b,&ldb,&beta,c,&n)
callprotoargument char*,char*,int*,int*,<ctype6>*,<ctype6>*,int*,<ctype6>*,int*, &
<ctype6>*, <ctype6>*,int*
integer optional, intent(in),check(lower==0||lower==1) :: lower = 0
integer optional,intent(in),check(trans>=0 && trans <=2) :: trans = 0
<ftype6> intent(in) :: alpha
<ftype6> intent(in),optional :: beta = <0.0,\0,(0.0\,0.0),\2,\2,\2>
<ftype6> dimension(lda, ka), intent(in) :: a
<ftype6> dimension(ldb, kb), intent(in) :: b
<ftype6> dimension(n,n),intent(in,out,copy),depend(n),optional :: c
check(shape(c,0)==n && shape(c,1)==n) :: c
integer depend(a),intent(hide) :: lda = shape(a,0)
integer depend(a),intent(hide) :: ka = shape(a,1)
integer depend(b),intent(hide) :: ldb = shape(b,0)
integer depend(b),intent(hide) :: kb = shape(b,1)
integer depend(a, trans, ka, lda), intent(hide) :: n = (trans ? ka : lda)
integer depend(a, b, trans, ka, lda, kb, ldb), intent(hide), &
check(trans ? lda==ldb: ka==kb) :: k = (trans ? lda : ka)
end subroutine <prefix><sy,\0,\0,\0,he,he>r2k
subroutine <prefix>trmm(m, n, k, alpha, a, b, lda, ldb, side, lower, trans_a, diag)
! performs one of the matrix-matrix operations
!
! B := alpha*op( A )*B, or B := alpha*B*op( A )
!
! where alpha is a scalar, B is an m by n matrix, A is a unit, or
! non-unit, upper or lower triangular matrix and op( A ) is one of
!
! op( A ) = A or op( A ) = A**T or op( A ) = A**H.
!
! c = trmm(alpha, a, b, side=0, lower=0, trans_a=0, diag=0)
callstatement (*f2py_func)((side?"R":"L"), (lower?"L":"U"), &
(trans_a?(trans_a==2?"C":"T"):"N"), (diag?"U":"N"), &m, &n, &alpha, a, &lda, b, &ldb)
callprotoargument char*, char*, char*, char*, int*, int*, <ctype>*,<ctype>*,int*,<ctype>*, int*
integer optional, intent(in), check(side==0 || side==1) :: side = 0
integer optional, intent(in), check(lower==0 || lower==1) :: lower = 0
integer optional, intent(in), check(trans_a>=0 && trans_a <=2) :: trans_a = 0
integer optional, intent(in), check(diag==0 || diag==1) :: diag = 0
<ftype> intent(in) :: alpha
<ftype> dimension(lda, k), intent(in) :: a
<ftype> dimension(ldb, n), intent(in, out, copy) :: b
integer depend(a), intent(hide) :: lda = shape(a, 0)
integer depend(a), intent(hide) :: k = shape(a, 1)
integer depend(b), intent(hide) :: ldb = shape(b, 0)
integer depend(b), intent(hide) :: n = shape(b, 1)
integer depend(side, a, b, n, k), intent(hide) :: m = (side ? n : k)
end subroutine <prefix>trmm
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