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!%f90 -*- f90 -*-
! Signatures for f2py-wrappers of FORTRAN LEVEL 1 BLAS functions.
!
! Author: Pearu Peterson
! Created: Jan-Feb 2002
! Modified: Fabian Pedregosa, 2011
!
! Implemented:
!
! rotg, rotmg, rot, rotm
! swap, scal, copy, axpy
! dot, dotu, dotc
! nrm2, asum, amax, iamax
!
! Not Implemented: NONE
!
! NOTE: Avoiding wrappers hack does not work under 64-bit Gentoo system
! with single precision routines, so they are removed.
!
! Level 1 BLAS
subroutine <prefix>rotg(a,b,c,s)
! Computes the parameters for a Givens rotation.
!
! Given the Cartesian coordinates (a, b) of a point p, these routines return
! the parameters a, b, c, and s associated with the Givens rotation that zeros
! the y-coordinate of the point.
!
! FIXME: parameters a, b are not returned.
!
callprotoargument <ctype>*,<ctype>*,<ctype>*,<ctype>*
<ftype> intent(in) :: a, b
<ftype> intent(out,out=c) :: c
<ftype> intent(out,out=s) :: s
end subroutine <prefix>rotg
! <prefix2=s,d> <ctype2=float,double> <ftype2=real,double precision>
subroutine <prefix2>rotmg(d1,d2,x1,y1,param)
! Computes the parameters for a modified Givens rotation.
!
! Given Cartesian coordinates (x1, y1) of an input vector, this
! routine compute the components of a modified Givens
! transformation matrix H that zeros the y-component of the
! resulting vector:
!
! [x] [sqrt(d1) x1]
! [ ] = H [ ]
! [0] [sqrt(d2) y1]
!
callstatement (*f2py_func)(&d1,&d2,&x1,&y1,param)
callprotoargument <ctype2>*,<ctype2>*,<ctype2>*,<ctype2>*,<ctype2>*
<ftype2> intent(in) :: d1, d2, x1, y1
<ftype2> intent(out), dimension(5) :: param
end subroutine <prefix2>rotmg
subroutine <tchar=s,d,cs,zd>rot(n,x,offx,incx,y,offy,incy,c,s)
! Applies a plane rotation with real cosine and complex sine to a
! pair of complex vectors and returns the modified vectors.
!
! x, y are input vectors and c, s are values that define a rotation:
!
! [ c s]
! [ ]
! [-conj(s) c]
!
! where c*c + s*conjg(s) = 1.0.
!
callstatement (*f2py_func)(&n,x+offx,&incx,y+offy,&incy,&c,&s)
callprotoargument int*,<ctype>*,int*,<ctype>*,int*,<ctypereal>*,<ctypereal>*
<ftype> dimension(*),intent(in,out,copy) :: x,y
<ftypereal> intent(in) :: c, s
integer optional, intent(in), check(incx>0||incx<0) :: incx = 1
integer optional, intent(in), check(incy>0||incy<0) :: incy = 1
integer optional, intent(in), depend(x) :: offx=0
integer optional, intent(in), depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional, intent(in), depend(x,incx,offx,y,incy,offy) :: &
n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end subroutine <tchar=s,d,cs,zd>rot
subroutine <prefix2>rotm(n,x,offx,incx,y,offy,incy,param)
! Performs rotation of points in the modified plane
!
! Given two complex vectors x and y, each vector element of these vectors is
! replaced as follows:
!
! x(i) = H*x(i) + H*y(i)
! y(i) = H*y(i) - H*x(i)
!
! where H is a modified Givens transformation matrix whose values are stored
! in the param(2) through param(5) array.
callstatement (*f2py_func)(&n,x+offx,&incx,y+offy,&incy,param)
callprotoargument int*,<ctype2>*,int*,<ctype2>*,int*,<ctype2>*
<ftype2> dimension(*), intent(in,out,copy) :: x, y
<ftype2> dimension(5), intent(in) :: param
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),check(incy>0||incy<0) :: incy = 1
integer optional, intent(in),depend(x) :: offx=0
integer optional, intent(in),depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional, intent(in),depend(x,incx,offx,y,incy,offy) :: &
n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end subroutine <prefix2>rotm
subroutine <prefix>swap(n,x,offx,incx,y,offy,incy)
! Swap two arrays: x <-> y
callstatement (*f2py_func)(&n,x+offx,&incx,y+offy,&incy)
callprotoargument int*,<ctype>*,int*,<ctype>*,int*
<ftype> dimension(*), intent(in,out) :: x, y
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),check(incy>0||incy<0) :: incy = 1
integer optional, intent(in),depend(x) :: offx=0
integer optional, intent(in),depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional, intent(in),depend(x,incx,offx,y,incy,offy) :: &
n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end subroutine <prefix>swap
subroutine <prefix>scal(n,a,x,offx,incx)
! Computes the product of a vector by a scalar: y = a*x
callstatement (*f2py_func)(&n,&a,x+offx,&incx)
callprotoargument int*,<ctype>*,<ctype>*,int*
<ftype> intent(in):: a
<ftype> dimension(*), intent(in,out) :: x
integer optional, intent(in), check(incx>0||incx<0) :: incx = 1
integer optional, intent(in), depend(x) :: offx=0
check(offx>=0 && offx<len(x)) :: offx
integer optional, intent(in),depend(x,incx,offx) :: n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
end subroutine <prefix>scal
subroutine <tchar=cs,zd>scal(n,a,x,offx,incx)
! Computes the product of a vector by a scalar, scales a complex
! vector by a real constant
! y = a*x
callstatement (*f2py_func)(&n,&a,x+offx,&incx)
callprotoargument int*,<float,double>*,<complex_float, complex_double>*,int*
<real,double precision> intent(in) :: a
<complex, double complex> dimension(*), intent(in,out,copy) :: x
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),depend(x) :: offx=0
check(offx>=0 && offx<len(x)) :: offx
integer optional, intent(in),depend(x,incx,offx) :: n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
end subroutine <tchar=cs,zd>scal
subroutine <prefix>copy(n,x,offx,incx,y,offy,incy)
! Copy y <- x
callstatement (*f2py_func)(&n,x+offx,&incx,y+offy,&incy)
callprotoargument int*,<ctype>*,int*,<ctype>*,int*
<ftype> dimension(*), intent(in) :: x
<ftype> dimension(*), intent(in,out) :: y
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),check(incy>0||incy<0) :: incy = 1
integer optional, intent(in),depend(x) :: offx=0
integer optional, intent(in),depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional, intent(in),depend(x,incx,offx,y,incy,offy) :: &
n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end subroutine <prefix>copy
subroutine <prefix>axpy(n,a,x,offx,incx,y,offy,incy)
! Calculate z = a*x+y, where a is scalar.
callstatement (*f2py_func)(&n,&a,x+offx,&incx,y+offy,&incy)
callprotoargument int*,<ctype>*,<ctype>*,int*,<ctype>*,int*
<ftype> dimension(*), intent(in) :: x
<ftype> dimension(*), intent(in,out,out=z) :: y
<ftype> optional, intent(in):: a=<1.0,\0,(1.0\,0.0),\2>
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),check(incy>0||incy<0) :: incy = 1
integer optional, intent(in),depend(x) :: offx=0
integer optional, intent(in),depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional, intent(in),depend(x,incx,offx,y,incy,offy) :: &
n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end subroutine <prefix>axpy
function <prefix2>dot(n,x,offx,incx,y,offy,incy) result (xy)
! Computes a vector-vector dot product.
callstatement (*f2py_func)(&<prefix2>dot,&n,x+offx,&incx,y+offy,&incy)
callprotoargument <ctype2>*,int*,<ctype2>*,int*,<ctype2>*,int*
<ftype2> dimension(*), intent(in) :: x
<ftype2> dimension(*), intent(in) :: y
<ftype2> <prefix2>dot,xy
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),check(incy>0||incy<0) :: incy = 1
integer optional, intent(in),depend(x) :: offx=0
integer optional, intent(in),depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional, intent(in),depend(x,incx,offx,y,incy,offy) :: &
n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end function <prefix2>dot
! <prefix2c=c,z> <ftype2c=complex,double complex> <ctype2c=complex_float,complex_double>
subroutine <prefix2c>dotu(xy,n,x,offx,incx,y,offy,incy)
<ftype2c> intent(out) :: xy
fortranname w<prefix2c>dotu
callstatement (*f2py_func)(&xy,&n,x+offx,&incx,y+offy,&incy)
callprotoargument <ctype2c>*,int*,<ctype2c>*,int*,<ctype2c>*,int*
<ftype2c> dimension(*),intent(in) :: x
<ftype2c> dimension(*),intent(in) :: y
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),check(incy>0||incy<0) :: incy = 1
integer optional,intent(in),depend(x) :: offx=0
integer optional,intent(in),depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional,intent(in),depend(x,incx,offx,y,incy,offy) &
:: n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end subroutine <prefix2c>dotu
subroutine <prefix2c>dotc(xy,n,x,offx,incx,y,offy,incy)
<ftype2c> intent (out) :: xy
fortranname w<prefix2c>dotc
callstatement (*f2py_func)(&xy,&n,x+offx,&incx,y+offy,&incy)
callprotoargument <ctype2c>*,int*,<ctype2c>*,int*,<ctype2c>*,int*
<ftype2c> dimension(*),intent(in) :: x
<ftype2c> dimension(*),intent(in) :: y
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional, intent(in),check(incy>0||incy<0) :: incy = 1
integer optional,intent(in),depend(x) :: offx=0
integer optional,intent(in),depend(y) :: offy=0
check(offx>=0 && offx<len(x)) :: offx
check(offy>=0 && offy<len(y)) :: offy
integer optional,intent(in),depend(x,incx,offx,y,incy,offy) :: n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
check(len(y)-offy>(n-1)*abs(incy)) :: n
end subroutine <prefix2c>dotc
! <prefix3=s,d,sc,dz>
function <prefix3>nrm2(n,x,offx,incx) result(n2)
<ftypereal> <prefix3>nrm2, n2
callstatement (*f2py_func)(&<prefix3>nrm2, &n,x+offx,&incx)
callprotoargument <ctypereal>*,int*,<ctype>*,int*
<ftype> dimension(*),intent(in) :: x
integer optional, intent(in),check(incx>0||incx<0) :: incx = 1
integer optional,intent(in),depend(x) :: offx=0
check(offx>=0 && offx<len(x)) :: offx
integer optional,intent(in),depend(x,incx,offx) :: n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
end function <prefix3>nrm2
function <tchar=s,d,sc,dz>asum(n,x,offx,incx) result (s)
! Computes the sum of magnitudes of the vector elements
callstatement (*f2py_func)(&<tchar=s,d,sc,dz>asum,&n,x+offx,&incx)
callprotoargument <ctypereal>*,int*,<ctype>*,int*
<ftype> dimension(*), intent(in) :: x
<ftypereal> <tchar=s,d,sc,dz>asum,s
integer optional, intent(in), check(incx>0||incx<0) :: incx = 1
integer optional, intent(in), depend(x) :: offx=0
check(offx>=0 && offx<len(x)) :: offx
integer optional, intent(in),depend(x,incx,offx) :: n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
end function <tchar=s,d,sc,dz>asum
function i<prefix>amax(n,x,offx,incx) result(k)
! Finds the index of the element with maximum absolute value.
callstatement i<prefix>amax_return_value = (*f2py_func)(&n,x+offx,&incx) - 1
callprotoargument int*,<ctype>*,int*
! This is to avoid Fortran wrappers.
integer i<prefix>amax,k
fortranname F_FUNC(i<prefix>amax,I<S,D,C,Z>AMAX)
intent(c) i<prefix>amax
<ftype> dimension(*), intent(in) :: x
integer optional, intent(in), check(incx>0||incx<0) :: incx = 1
integer optional, intent(in), depend(x) :: offx=0
check(offx>=0 && offx<len(x)) :: offx
integer optional, intent(in),depend(x,incx,offx) :: n = (len(x)-offx)/abs(incx)
check(len(x)-offx>(n-1)*abs(incx)) :: n
end function i<prefix>amax
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