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|
//------------------------------------------------------------------------------
// GraphBLAS/Demo/Include/usercomplex.c: complex numbers as a user-defined type
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2025, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// All functions must work if any input/outputs x, y, and/or z are aliased.
// Some methods (times, div, and rdiv) require temporary variables zre and zim
// as a result. All other functions are OK as-is.
#ifdef MATLAB_MEX_FILE
#include "GB_mex.h"
#undef OK
#define OK(method) \
{ \
info = method ; \
if (! (info == GrB_SUCCESS || info == GrB_NO_VALUE)) \
{ \
printf ("%s, line %d, info %d\n", __FILE__, __LINE__, info) ; \
mexErrMsgTxt ("GraphBLAS error!") ; \
} \
}
#else
#include "graphblas_demos.h"
#undef FREE_ALL
#define FREE_ALL Complex_finalize ( ) ;
#if defined __INTEL_COMPILER
#pragma warning (disable: 58 167 144 161 177 181 186 188 589 593 869 981 \
1418 1419 1572 1599 2259 2282 2557 2547 3280 )
#elif defined __GNUC__
#pragma GCC diagnostic ignored "-Wunused-parameter"
#if !defined ( __cplusplus )
#pragma GCC diagnostic ignored "-Wincompatible-pointer-types"
#endif
#endif
#endif
GrB_BinaryOp Complex_first = NULL, Complex_second = NULL, Complex_min = NULL,
Complex_max = NULL, Complex_plus = NULL, Complex_minus = NULL,
Complex_times = NULL, Complex_div = NULL, Complex_rminus = NULL,
Complex_rdiv = NULL, Complex_pair = NULL ;
GrB_BinaryOp Complex_iseq = NULL, Complex_isne = NULL,
Complex_isgt = NULL, Complex_islt = NULL,
Complex_isge = NULL, Complex_isle = NULL ;
GrB_BinaryOp Complex_or = NULL, Complex_and = NULL, Complex_xor = NULL ;
GrB_BinaryOp Complex_eq = NULL, Complex_ne = NULL,
Complex_gt = NULL, Complex_lt = NULL,
Complex_ge = NULL, Complex_le = NULL ;
GrB_BinaryOp Complex_complex = NULL ;
GrB_UnaryOp Complex_identity = NULL, Complex_ainv = NULL, Complex_minv = NULL,
Complex_not = NULL, Complex_conj = NULL,
Complex_one = NULL, Complex_abs = NULL ;
GrB_UnaryOp Complex_real = NULL, Complex_imag = NULL,
Complex_cabs = NULL, Complex_angle = NULL ;
GrB_UnaryOp Complex_complex_real = NULL, Complex_complex_imag = NULL ;
GrB_Type Complex = NULL ;
GrB_Monoid Complex_plus_monoid = NULL, Complex_times_monoid = NULL ;
GrB_Semiring Complex_plus_times = NULL ;
//------------------------------------------------------------------------------
// binary functions, z=f(x,y), where CxC -> Complex
//------------------------------------------------------------------------------
void mycx_first (mycx *z, const mycx *x, const mycx *y)
{
z->re = x->re ;
z->im = x->im ;
}
#define MYCX_FIRST \
"void mycx_first (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = x->re ; \n" \
" z->im = x->im ; \n" \
"}"
void mycx_second (mycx *z, const mycx *x, const mycx *y)
{
z->re = y->re ;
z->im = y->im ;
}
#define MYCX_SECOND \
"void mycx_second (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = y->re ; \n" \
" z->im = y->im ; \n" \
"}"
void mycx_pair (mycx *z, const mycx *x, const mycx *y)
{
z->re = 1 ;
z->im = 0 ;
}
#define MYCX_PAIR \
"void mycx_pair (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = 1 ; \n" \
" z->im = 0 ; \n" \
"}"
void mycx_plus (mycx *z, const mycx *x, const mycx *y)
{
z->re = x->re + y->re ;
z->im = x->im + y->im ;
}
#define MYCX_PLUS \
"void mycx_plus (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = x->re + y->re ; \n" \
" z->im = x->im + y->im ; \n" \
"}"
void mycx_minus (mycx *z, const mycx *x, const mycx *y)
{
z->re = x->re - y->re ;
z->im = x->im - y->im ;
}
#define MYCX_MINUS \
"void mycx_minus (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = x->re - y->re ; \n" \
" z->im = x->im - y->im ; \n" \
"}"
void mycx_rminus (mycx *z, const mycx *x, const mycx *y)
{
z->re = y->re - x->re ;
z->im = y->im - x->im ;
}
#define MYCX_RMINUS \
"void mycx_rminus (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = y->re - x->re ; \n" \
" z->im = y->im - x->im ; \n" \
"}"
// temporary variables zre and zim are required for times, div, and rdiv:
void mycx_times (mycx *z, const mycx *x, const mycx *y)
{
double zre = (x->re * y->re) - (x->im * y->im) ;
double zim = (x->re * y->im) + (x->im * y->re) ;
z->re = zre ;
z->im = zim ;
}
#define MYCX_TIMES \
"void mycx_times (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" double zre = (x->re * y->re) - (x->im * y->im) ; \n" \
" double zim = (x->re * y->im) + (x->im * y->re) ; \n" \
" z->re = zre ; \n" \
" z->im = zim ; \n" \
"}"
void mycx_div (mycx *z, const mycx *x, const mycx *y)
{
double den = (y->re * y->re) + (y->im * y->im) ;
double zre = ((x->re * y->re) + (x->im * y->im)) / den ;
double zim = ((x->im * y->re) - (x->re * y->im)) / den ;
z->re = zre ;
z->im = zim ;
}
#define MYCX_DIV \
"void mycx_div (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" double den = (y->re * y->re) + (y->im * y->im) ; \n" \
" double zre = ((x->re * y->re) + (x->im * y->im)) / den ; \n" \
" double zim = ((x->im * y->re) - (x->re * y->im)) / den ; \n" \
" z->re = zre ; \n" \
" z->im = zim ; \n" \
"}"
void mycx_rdiv (mycx *z, const mycx *x, const mycx *y)
{
double den = (x->re * x->re) + (x->im * x->im) ;
double zre = ((y->re * x->re) + (y->im * x->im)) / den ;
double zim = ((y->im * x->re) - (y->re * x->im)) / den ;
z->re = zre ;
z->im = zim ;
}
#define MYCX_RDIV \
"void mycx_div (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" double den = (x->re * x->re) + (x->im * x->im) ; \n" \
" double zre = ((y->re * x->re) + (y->im * x->im)) / den ; \n" \
" double zim = ((y->im * x->re) - (y->re * x->im)) / den ; \n" \
" z->re = zre ; \n" \
" z->im = zim ; \n" \
"}"
// min (x,y): complex number with smallest magnitude. If tied, select the
// one with the smallest phase angle. No special cases for NaNs.
void fx64_min (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
double absx = cabs (*x) ;
double absy = cabs (*y) ;
if (absx < absy)
{
(*z) = (*x) ;
}
else if (absx > absy)
{
(*z) = (*y) ;
}
else
{
(*z) = (carg (*x) < carg (*y)) ? (*x) : (*y) ;
}
}
#define FX64_MIN \
"void fx64_min (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n" \
"{ \n" \
" double absx = cabs (*x) ; \n" \
" double absy = cabs (*y) ; \n" \
" if (absx < absy) \n" \
" { \n" \
" (*z) = (*x) ; \n" \
" } \n" \
" else if (absx > absy) \n" \
" { \n" \
" (*z) = (*y) ; \n" \
" } \n" \
" else \n" \
" { \n" \
" (*z) = (carg (*x) < carg (*y)) ? (*x) : (*y) ; \n" \
" } \n" \
"}"
void mycx_min (mycx *z, const mycx *x, const mycx *y)
{
GxB_FC64_t X = GxB_CMPLX (x->re, x->im) ;
GxB_FC64_t Y = GxB_CMPLX (y->re, y->im) ;
double absx = cabs (X) ;
double absy = cabs (Y) ;
if (absx < absy)
{
z->re = x->re ;
z->im = x->im ;
}
else if (absx > absy)
{
z->re = y->re ;
z->im = y->im ;
}
else
{
if (carg (X) < carg (Y))
{
z->re = x->re ;
z->im = x->im ;
}
else
{
z->re = y->re ;
z->im = y->im ;
}
}
}
#define MYCX_MIN \
"void mycx_min (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" GxB_FC64_t X = GxB_CMPLX (x->re, x->im) ; \n" \
" GxB_FC64_t Y = GxB_CMPLX (y->re, y->im) ; \n" \
" double absx = cabs (X) ; \n" \
" double absy = cabs (Y) ; \n" \
" if (absx < absy) \n" \
" { \n" \
" z->re = x->re ; \n" \
" z->im = x->im ; \n" \
" } \n" \
" else if (absx > absy) \n" \
" { \n" \
" z->re = y->re ; \n" \
" z->im = y->im ; \n" \
" } \n" \
" else \n" \
" { \n" \
" if (carg (X) < carg (Y)) \n" \
" { \n" \
" z->re = x->re ; \n" \
" z->im = x->im ; \n" \
" } \n" \
" else \n" \
" { \n" \
" z->re = y->re ; \n" \
" z->im = y->im ; \n" \
" } \n" \
" } \n" \
"}"
// max (x,y): complex number with largest magnitude. If tied, select the one
// with the largest phase angle. No special cases for NaNs.
void fx64_max (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
double absx = cabs (*x) ;
double absy = cabs (*y) ;
if (absx > absy)
{
(*z) = (*x) ;
}
else if (absx < absy)
{
(*z) = (*y) ;
}
else
{
(*z) = (carg (*x) > carg (*y)) ? (*x) : (*y) ;
}
}
#define FX64_MAX \
"void fx64_max (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n" \
"{ \n" \
" double absx = cabs (*x) ; \n" \
" double absy = cabs (*y) ; \n" \
" if (absx > absy) \n" \
" { \n" \
" (*z) = (*x) ; \n" \
" } \n" \
" else if (absx < absy) \n" \
" { \n" \
" (*z) = (*y) ; \n" \
" } \n" \
" else \n" \
" { \n" \
" (*z) = (carg (*x) > carg (*y)) ? (*x) : (*y) ; \n" \
" } \n" \
"}"
void mycx_max (mycx *z, const mycx *x, const mycx *y)
{
GxB_FC64_t X = GxB_CMPLX (x->re, x->im) ;
GxB_FC64_t Y = GxB_CMPLX (y->re, y->im) ;
double absx = cabs (X) ;
double absy = cabs (Y) ;
if (absx > absy)
{
z->re = x->re ;
z->im = x->im ;
}
else if (absx < absy)
{
z->re = y->re ;
z->im = y->im ;
}
else
{
if (carg (X) > carg (Y))
{
z->re = x->re ;
z->im = x->im ;
}
else
{
z->re = y->re ;
z->im = y->im ;
}
}
}
#define MYCX_MAX \
"void mycx_max (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" GxB_FC64_t X = GxB_CMPLX (x->re, x->im) ; \n" \
" GxB_FC64_t Y = GxB_CMPLX (y->re, y->im) ; \n" \
" double absx = cabs (X) ; \n" \
" double absy = cabs (Y) ; \n" \
" if (absx > absy) \n" \
" { \n" \
" z->re = x->re ; \n" \
" z->im = x->im ; \n" \
" } \n" \
" else if (absx < absy) \n" \
" { \n" \
" z->re = y->re ; \n" \
" z->im = y->im ; \n" \
" } \n" \
" else \n" \
" { \n" \
" if (carg (X) > carg (Y)) \n" \
" { \n" \
" z->re = x->re ; \n" \
" z->im = x->im ; \n" \
" } \n" \
" else \n" \
" { \n" \
" z->re = y->re ; \n" \
" z->im = y->im ; \n" \
" } \n" \
" } \n" \
"}"
//------------------------------------------------------------------------------
// 6 binary functions, z=f(x,y); CxC -> Complex ; (1,0) = true, (0,0) = false
//------------------------------------------------------------------------------
void mycx_iseq (mycx *z, const mycx *x, const mycx *y)
{
z->re = (x->re == y->re && x->im == y->im) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_ISEQ \
"void mycx_iseq (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = (x->re == y->re && x->im == y->im) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
void mycx_isne (mycx *z, const mycx *x, const mycx *y)
{
z->re = (x->re != y->re || x->im != y->im) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_ISNE \
"void mycx_isne (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = (x->re != y->re || x->im != y->im) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_isgt (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
bool gt = (creal (*x) > creal (*y)) ;
(*z) = gt ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ;
}
#define FX64_ISGT \
"void fx64_isgt (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n"\
"{ \n" \
" bool gt = (creal (*x) > creal (*y)) ; \n" \
" (*z) = gt ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ; \n" \
"}"
void mycx_isgt (mycx *z, const mycx *x, const mycx *y)
{
z->re = (x->re > y->re) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_ISGT \
"void mycx_isgt (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = (x->re > y->re) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_islt (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
bool lt = (creal (*x) < creal (*y)) ;
(*z) = lt ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ;
}
#define FX64_ISLT \
"void fx64_islt (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n"\
"{ \n" \
" bool lt = (creal (*x) < creal (*y)) ; \n" \
" (*z) = lt ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ; \n" \
"}"
void mycx_islt (mycx *z, const mycx *x, const mycx *y)
{
z->re = (x->re < y->re) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_ISLT \
"void mycx_islt (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = (x->re < y->re) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_isge (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
bool ge = (creal (*x) >= creal (*y)) ;
(*z) = ge ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ;
}
#define FX64_ISGE \
"void fx64_isge (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n"\
"{ \n" \
" bool ge = (creal (*x) >= creal (*y)) ; \n" \
" (*z) = ge ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ; \n" \
"}"
void mycx_isge (mycx *z, const mycx *x, const mycx *y)
{
z->re = (x->re >= y->re) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_ISGE \
"void mycx_isge (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = (x->re >= y->re) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_isle (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
bool le = (creal (*x) <= creal (*y)) ;
(*z) = le ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ;
}
#define FX64_ISLE \
"void fx64_isle (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n"\
"{ \n" \
" bool le = (creal (*x) <= creal (*y)) ; \n" \
" (*z) = le ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ; \n" \
"}"
void mycx_isle (mycx *z, const mycx *x, const mycx *y)
{
z->re = (x->re <= y->re) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_ISLE \
"void mycx_isle (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" z->re = (x->re <= y->re) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
//------------------------------------------------------------------------------
// binary boolean functions, z=f(x,y), where CxC -> Complex
//------------------------------------------------------------------------------
void fx64_or (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ;
bool ybool = (creal (*y) != 0 || cimag (*y) != 0) ;
(*z) = (xbool || ybool) ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ;
}
#define FX64_OR \
"void fx64_or (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y) \n" \
"{ \n" \
" bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ; \n" \
" bool ybool = (creal (*y) != 0 || cimag (*y) != 0) ; \n" \
" (*z) = (xbool || ybool) ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ; \n" \
"}"
void mycx_or (mycx *z, const mycx *x, const mycx *y)
{
bool xbool = (x->re != 0 || x->im != 0) ;
bool ybool = (y->re != 0 || y->im != 0) ;
z->re = (xbool || ybool) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_OR \
"void mycx_or (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" bool xbool = (x->re != 0 || x->im != 0) ; \n" \
" bool ybool = (y->re != 0 || y->im != 0) ; \n" \
" z->re = (xbool || ybool) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_and (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ;
bool ybool = (creal (*y) != 0 || cimag (*y) != 0) ;
(*z) = (xbool && ybool) ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ;
}
#define FX64_AND \
"void fx64_and (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n" \
"{ \n" \
" bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ; \n" \
" bool ybool = (creal (*y) != 0 || cimag (*y) != 0) ; \n" \
" (*z) = (xbool && ybool) ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ; \n" \
"}"
void mycx_and (mycx *z, const mycx *x, const mycx *y)
{
bool xbool = (x->re != 0 || x->im != 0) ;
bool ybool = (y->re != 0 || y->im != 0) ;
z->re = (xbool && ybool) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_AND \
"void mycx_and (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" bool xbool = (x->re != 0 || x->im != 0) ; \n" \
" bool ybool = (y->re != 0 || y->im != 0) ; \n" \
" z->re = (xbool && ybool) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_xor (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ;
bool ybool = (creal (*y) != 0 || cimag (*y) != 0) ;
(*z) = (xbool != ybool) ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ;
}
#define FX64_XOR \
"void fx64_xor (GxB_FC64_t *z, const GxB_FC64_t *x, const GxB_FC64_t *y)\n" \
"{ \n" \
" bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ; \n" \
" bool ybool = (creal (*y) != 0 || cimag (*y) != 0) ; \n" \
" (*z) = (xbool != ybool) ? GxB_CMPLX (1,0) : GxB_CMPLX (0,0) ; \n" \
"}"
void mycx_xor (mycx *z, const mycx *x, const mycx *y)
{
bool xbool = (x->re != 0 || x->im != 0) ;
bool ybool = (y->re != 0 || y->im != 0) ;
z->re = (xbool && ybool) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_XOR \
"void mycx_xor (mycx *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" bool xbool = (x->re != 0 || x->im != 0) ; \n" \
" bool ybool = (y->re != 0 || y->im != 0) ; \n" \
" z->re = (xbool != ybool) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
//------------------------------------------------------------------------------
// 6 binary functions, z=f(x,y), where CxC -> bool
//------------------------------------------------------------------------------
void mycx_eq (bool *z, const mycx *x, const mycx *y)
{
(*z) = (x->re == y->re && x->im == y->im) ;
}
#define MYCX_EQ \
"void mycx_eq (bool *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" (*z) = (x->re == y->re && x->im == y->im) ; \n" \
"}"
void mycx_ne (bool *z, const mycx *x, const mycx *y)
{
(*z) = (x->re == y->re && x->im == y->im) ;
}
#define MYCX_NE \
"void mycx_ne (bool *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" (*z) = (x->re == y->re && x->im == y->im) ; \n" \
"}"
void fx64_gt (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
(*z) = (creal (*x) > creal (*y)) ;
}
#define FX64_GT \
"void fx64_gt (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y) \n" \
"{ \n" \
" (*z) = (creal (*x) > creal (*y)) ; \n" \
"}"
void mycx_gt (bool *z, const mycx *x, const mycx *y)
{
(*z) = (x->re > y->re) ;
}
#define MYCX_GT \
"void mycx_gt (bool *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" (*z) = (x->re > y->re) ; \n" \
"}"
void fx64_lt (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
(*z) = (creal (*x) > creal (*y)) ;
}
#define FX64_LT \
"void fx64_lt (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y) \n" \
"{ \n" \
" (*z) = (creal (*x) < creal (*y)) ; \n" \
"}"
void mycx_lt (bool *z, const mycx *x, const mycx *y)
{
(*z) = (x->re < y->re) ;
}
#define MYCX_LT \
"void mycx_lt (bool *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" (*z) = (x->re < y->re) ; \n" \
"}"
void fx64_ge (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
(*z) = (creal (*x) >= creal (*y)) ;
}
#define FX64_GE \
"void fx64_ge (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y) \n" \
"{ \n" \
" (*z) = (creal (*x) >= creal (*y)) ; \n" \
"}"
void mycx_ge (bool *z, const mycx *x, const mycx *y)
{
(*z) = (x->re >= y->re) ;
}
#define MYCX_GE \
"void mycx_ge (bool *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" (*z) = (x->re >= y->re) ; \n" \
"}"
void fx64_le (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y)
{
(*z) = (creal (*x) >= creal (*y)) ;
}
#define FX64_LE \
"void fx64_lt (bool *z, const GxB_FC64_t *x, const GxB_FC64_t *y) \n" \
"{ \n" \
" (*z) = (creal (*x) <= creal (*y)) ; \n" \
"}"
void mycx_le (bool *z, const mycx *x, const mycx *y)
{
(*z) = (x->re <= y->re) ;
}
#define MYCX_LE \
"void mycx_le (bool *z, const mycx *x, const mycx *y) \n" \
"{ \n" \
" (*z) = (x->re <= y->re) ; \n" \
"}"
//------------------------------------------------------------------------------
// binary functions, z=f(x,y), where double x double -> complex
//------------------------------------------------------------------------------
void mycx_cmplx (mycx *z, const double *x, const double *y)
{
z->re = (*x) ;
z->im = (*y) ;
}
#define MYCX_CMPLX \
"void mycx_cmplx (mycx *z, const double *x, const double *y) \n" \
"{ \n" \
" z->re = (*x) ; \n" \
" z->im = (*y) ; \n" \
"}"
//------------------------------------------------------------------------------
// unary functions, z=f(x) where Complex -> Complex
//------------------------------------------------------------------------------
void mycx_one (mycx *z, const mycx *x)
{
z->re = 1 ;
z->im = 0 ;
}
#define MYCX_ONE \
"void mycx_one (mycx *z, const mycx *x) \n" \
"{ \n" \
" z->re = 1 ; \n" \
" z->im = 0 ; \n" \
"}"
void mycx_identity (mycx *z, const mycx *x)
{
z->re = x->re ;
z->im = x->im ;
}
#define MYCX_IDENTITY \
"void mycx_identity (mycx *z, const mycx *x) \n" \
"{ \n" \
" z->re = x->re ; \n" \
" z->im = x->im ; \n" \
"}"
void mycx_ainv (mycx *z, const mycx *x)
{
z->re = -(x->re) ;
z->im = -(x->im) ;
}
#define MYCX_AINV \
"void mycx_ainv (mycx *z, const mycx *x) \n" \
"{ \n" \
" z->re = -(x->re) ; \n" \
" z->im = -(x->im) ; \n" \
"}"
void mycx_minv (mycx *z, const mycx *x)
{
double den = (x->re * x->re) + (x->im * x->im) ;
z->re = (x->re) / den ;
z->im = -(x->im) / den ;
}
#define MYCX_MINV \
"void mycx_minv (mycx *z, const mycx *x) \n" \
"{ \n" \
" double den = (x->re * x->re) + (x->im * x->im) ; \n" \
" z->re = (x->re) / den ; \n" \
" z->im = -(x->im) / den ; \n" \
"}"
void mycx_conj (mycx *z, const mycx *x)
{
z->re = (x->re) ;
z->im = -(x->im) ;
}
#define MYCX_CONJ \
"void mycx_conj (mycx *z, const mycx *x) \n" \
"{ \n" \
" z->re = (x->re) ; \n" \
" z->im = -(x->im) ; \n" \
"}"
void fx64_abs (GxB_FC64_t *z, const GxB_FC64_t *x)
{
(*z) = GxB_CMPLX (cabs (*x), 0) ;
}
#define FX64_ABS \
"void fx64_abs (GxB_FC64_t *z, const GxB_FC64_t *x) \n" \
"{ \n" \
" (*z) = GxB_CMPLX (cabs (*x), 0) ; \n" \
"}"
void mycx_abs (mycx *z, const mycx *x)
{
z->re = sqrt ((x->re * x->re) + (x->im * x->im)) ;
z->im = 0 ;
}
#define MYCX_ABS \
"void mycx_abs (mycx *z, const mycx *x) \n" \
"{ \n" \
" z->re = sqrt ((x->re * x->re) + (x->im * x->im)) ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_not (GxB_FC64_t *z, const GxB_FC64_t *x)
{
bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ;
(*z) = xbool ? GxB_CMPLX (0,0) : GxB_CMPLX (1,0) ;
}
#define FX64_NOT \
"void fx64_not (GxB_FC64_t *z, const GxB_FC64_t *x) \n" \
"{ \n" \
" bool xbool = (creal (*x) != 0 || cimag (*x) != 0) ; \n" \
" (*z) = xbool ? GxB_CMPLX (0,0) : GxB_CMPLX (1,0) ; \n" \
"}"
void mycx_not (mycx *z, const mycx *x)
{
z->re = (x->re != 0 || x->im != 0) ? 1 : 0 ;
z->im = 0 ;
}
#define MYCX_NOT \
"void mycx_not (mycx *z, const mycx *x) \n" \
"{ \n" \
" z->re = (x->re != 0 || x->im != 0) ? 1 : 0 ; \n" \
" z->im = 0 ; \n" \
"}"
//------------------------------------------------------------------------------
// unary functions, z=f(x) where Complex -> double
//------------------------------------------------------------------------------
void mycx_real (double *z, const mycx *x)
{
(*z) = x->re ;
}
#define MYCX_REAL \
"void mycx_real (double *z, const mycx *x) \n" \
"{ \n" \
" (*z) = x->re ; \n" \
"}"
void mycx_imag (double *z, const mycx *x)
{
(*z) = x->im ;
}
#define MYCX_IMAG \
"void mycx_imag (double *z, const mycx *x) \n" \
"{ \n" \
" (*z) = x->im ; \n" \
"}"
void mycx_cabs (double *z, const mycx *x)
{
(*z) = sqrt ((x->re * x->re) + (x->im * x->im)) ;
}
#define MYCX_CABS \
"void mycx_cabs (double *z, const mycx *x) \n" \
"{ \n" \
" (*z) = sqrt ((x->re * x->re) + (x->im * x->im)) ; \n" \
"}"
void mycx_angle (double *z, const mycx *x)
{
GxB_FC64_t X = GxB_CMPLX (x->re, x->im) ;
(*z) = carg (X) ;
}
#define MYCX_ANGLE \
"void mycx_angle (double *z, const mycx *x) \n" \
"{ \n" \
" GxB_FC64_t X = GxB_CMPLX (x->re, x->im) ; \n" \
" (*z) = carg (X) ; \n" \
"}"
//------------------------------------------------------------------------------
// unary functions, z=f(x) where double -> Complex
//------------------------------------------------------------------------------
void fx64_cmplx_real (GxB_FC64_t *z, const double *x)
{
(*z) = GxB_CMPLX ((*x), 0) ;
}
#define FX64_CMPLX_REAL \
"void fx64_cmplx_real (GxB_FC64_t *z, const double *x) \n" \
"{ \n" \
" (*z) = GxB_CMPLX ((*x), 0) ; \n" \
"}"
void mycx_cmplx_real (mycx *z, const double *x)
{
z->re = (*x) ;
z->im = 0 ;
}
#define MYCX_CMPLX_REAL \
"void mycx_cmplx_real (mycx *z, const double *x) \n" \
"{ \n" \
" z->re = (*x) ; \n" \
" z->im = 0 ; \n" \
"}"
void fx64_cmplx_imag (GxB_FC64_t *z, const double *x)
{
(*z) = GxB_CMPLX (0, (*x)) ;
}
#define FX64_CMPLX_IMAG \
"void fx64_cmplx_imag (GxB_FC64_t *z, const double *x) \n" \
"{ \n" \
" (*z) = GxB_CMPLX (0, (*x)) ; \n" \
"}"
void mycx_cmplx_imag (mycx *z, const double *x)
{
z->re = 0 ;
z->im = (*x) ;
}
#define MYCX_CMPLX_IMAG \
"void mycx_cmplx_imag (mycx *z, const double *x) \n" \
"{ \n" \
" z->re = 0 ; \n" \
" z->im = (*x) ; \n" \
"}"
//------------------------------------------------------------------------------
// Complex_init: create the complex type, operators, monoids, and semiring
//------------------------------------------------------------------------------
#define U (GxB_unary_function)
#define B (GxB_binary_function)
GrB_Info Complex_init (bool builtin_complex)
{
GrB_Info info ;
//--------------------------------------------------------------------------
// create the Complex type, or set to GxB_FC64
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in type
Complex = GxB_FC64 ;
}
else
{
// create the user-defined type
// Normally, the typename should be "GxB_FC64_t",
// but the C type GxB_FC64_t is already defined.
OK (GxB_Type_new (&Complex, sizeof (GxB_FC64_t), "mycx", MYCX_DEFN)) ;
}
//--------------------------------------------------------------------------
// create the Complex binary operators, CxC->Complex
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_first = GxB_FIRST_FC64 ;
Complex_second = GxB_SECOND_FC64 ;
Complex_pair = GxB_PAIR_FC64 ;
Complex_plus = GxB_PLUS_FC64 ;
Complex_minus = GxB_MINUS_FC64 ;
Complex_rminus = GxB_RMINUS_FC64 ;
Complex_times = GxB_TIMES_FC64 ;
Complex_div = GxB_DIV_FC64 ;
Complex_rdiv = GxB_RDIV_FC64 ;
}
else
{
// create user-defined versions
OK (GxB_BinaryOp_new (&Complex_first , B mycx_first , Complex, Complex, Complex, "mycx_first" , MYCX_FIRST)) ;
OK (GxB_BinaryOp_new (&Complex_second , B mycx_second , Complex, Complex, Complex, "mycx_second", MYCX_SECOND)) ;
OK (GxB_BinaryOp_new (&Complex_pair , B mycx_pair , Complex, Complex, Complex, "mycx_pair" , MYCX_PAIR)) ;
OK (GxB_BinaryOp_new (&Complex_plus , B mycx_plus , Complex, Complex, Complex, "mycx_plus" , MYCX_PLUS)) ;
OK (GxB_BinaryOp_new (&Complex_minus , B mycx_minus , Complex, Complex, Complex, "mycx_minus" , MYCX_MINUS)) ;
OK (GxB_BinaryOp_new (&Complex_rminus , B mycx_rminus , Complex, Complex, Complex, "mycx_rminus", MYCX_RMINUS)) ;
OK (GxB_BinaryOp_new (&Complex_times , B mycx_times , Complex, Complex, Complex, "mycx_times" , MYCX_TIMES)) ;
OK (GxB_BinaryOp_new (&Complex_div , B mycx_div , Complex, Complex, Complex, "mycx_div" , MYCX_DIV)) ;
OK (GxB_BinaryOp_new (&Complex_rdiv , B mycx_rdiv , Complex, Complex, Complex, "mycx_rdiv" , MYCX_RDIV)) ;
}
// these are not built-in
if (builtin_complex)
{
OK (GxB_BinaryOp_new (&Complex_min , B fx64_min , Complex, Complex, Complex, "fx64_min" , FX64_MIN)) ;
OK (GxB_BinaryOp_new (&Complex_max , B fx64_max , Complex, Complex, Complex, "fx64_max" , FX64_MAX)) ;
}
else
{
OK (GxB_BinaryOp_new (&Complex_min , B mycx_min , Complex, Complex, Complex, "mycx_min" , MYCX_MIN)) ;
OK (GxB_BinaryOp_new (&Complex_max , B mycx_max , Complex, Complex, Complex, "mycx_max" , MYCX_MAX)) ;
}
//--------------------------------------------------------------------------
// create the Complex binary comparators, CxC -> Complex
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_iseq = GxB_ISEQ_FC64 ;
Complex_isne = GxB_ISNE_FC64 ;
}
else
{
// create user-defined versions
OK (GxB_BinaryOp_new (&Complex_iseq , B mycx_iseq , Complex, Complex, Complex, "mycx_iseq" , MYCX_ISEQ)) ;
OK (GxB_BinaryOp_new (&Complex_isne , B mycx_isne , Complex, Complex, Complex, "mycx_isne" , MYCX_ISNE)) ;
}
// these are not built-in
if (builtin_complex)
{
OK (GxB_BinaryOp_new (&Complex_isgt , B fx64_isgt , Complex, Complex, Complex, "fx64_isgt" , FX64_ISGT)) ;
OK (GxB_BinaryOp_new (&Complex_islt , B fx64_islt , Complex, Complex, Complex, "fx64_islt" , FX64_ISLT)) ;
OK (GxB_BinaryOp_new (&Complex_isge , B fx64_isge , Complex, Complex, Complex, "fx64_isge" , FX64_ISGE)) ;
OK (GxB_BinaryOp_new (&Complex_isle , B fx64_isle , Complex, Complex, Complex, "fx64_isle" , FX64_ISLE)) ;
}
else
{
OK (GxB_BinaryOp_new (&Complex_isgt , B mycx_isgt , Complex, Complex, Complex, "mycx_isgt" , MYCX_ISGT)) ;
OK (GxB_BinaryOp_new (&Complex_islt , B mycx_islt , Complex, Complex, Complex, "mycx_islt" , MYCX_ISLT)) ;
OK (GxB_BinaryOp_new (&Complex_isge , B mycx_isge , Complex, Complex, Complex, "mycx_isge" , MYCX_ISGE)) ;
OK (GxB_BinaryOp_new (&Complex_isle , B mycx_isle , Complex, Complex, Complex, "mycx_isle" , MYCX_ISLE)) ;
}
//--------------------------------------------------------------------------
// create the Complex boolean operators, CxC -> Complex
//--------------------------------------------------------------------------
// these are not built-in
if (builtin_complex)
{
OK (GxB_BinaryOp_new (&Complex_or , B fx64_or , Complex, Complex, Complex, "fx64_or" , FX64_OR)) ;
OK (GxB_BinaryOp_new (&Complex_and , B fx64_and , Complex, Complex, Complex, "fx64_and" , FX64_AND)) ;
OK (GxB_BinaryOp_new (&Complex_xor , B fx64_xor , Complex, Complex, Complex, "fx64_xor" , FX64_XOR)) ;
}
else
{
OK (GxB_BinaryOp_new (&Complex_or , B mycx_or , Complex, Complex, Complex, "mycx_or" , MYCX_OR)) ;
OK (GxB_BinaryOp_new (&Complex_and , B mycx_and , Complex, Complex, Complex, "mycx_and" , MYCX_AND)) ;
OK (GxB_BinaryOp_new (&Complex_xor , B mycx_xor , Complex, Complex, Complex, "mycx_xor" , MYCX_XOR)) ;
}
//--------------------------------------------------------------------------
// create the Complex binary operators, CxC -> bool
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_eq = GxB_EQ_FC64 ;
Complex_ne = GxB_NE_FC64 ;
}
else
{
// create user-defined versions
OK (GxB_BinaryOp_new (&Complex_eq , B mycx_eq ,GrB_BOOL, Complex, Complex, "mycx_eq" , MYCX_EQ)) ;
OK (GxB_BinaryOp_new (&Complex_ne , B mycx_ne ,GrB_BOOL, Complex, Complex, "mycx_ne" , MYCX_NE)) ;
}
// these are not built-in
if (builtin_complex)
{
OK (GxB_BinaryOp_new (&Complex_gt , B fx64_gt ,GrB_BOOL, Complex, Complex, "fx64_gt" , FX64_GT)) ;
OK (GxB_BinaryOp_new (&Complex_lt , B fx64_lt ,GrB_BOOL, Complex, Complex, "fx64_lt" , FX64_LT)) ;
OK (GxB_BinaryOp_new (&Complex_ge , B fx64_ge ,GrB_BOOL, Complex, Complex, "fx64_ge" , FX64_GE)) ;
OK (GxB_BinaryOp_new (&Complex_le , B fx64_le ,GrB_BOOL, Complex, Complex, "fx64_le" , FX64_LE)) ;
}
else
{
OK (GxB_BinaryOp_new (&Complex_gt , B mycx_gt ,GrB_BOOL, Complex, Complex, "mycx_gt" , MYCX_GT)) ;
OK (GxB_BinaryOp_new (&Complex_lt , B mycx_lt ,GrB_BOOL, Complex, Complex, "mycx_lt" , MYCX_LT)) ;
OK (GxB_BinaryOp_new (&Complex_ge , B mycx_ge ,GrB_BOOL, Complex, Complex, "mycx_ge" , MYCX_GE)) ;
OK (GxB_BinaryOp_new (&Complex_le , B mycx_le ,GrB_BOOL, Complex, Complex, "mycx_le" , MYCX_LE)) ;
}
//--------------------------------------------------------------------------
// create the Complex binary operator, double x double -> Complex
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_complex = GxB_CMPLX_FP64 ;
}
else
{
// create user-defined versions
OK (GxB_BinaryOp_new (&Complex_complex, B mycx_cmplx , Complex,GrB_FP64,GrB_FP64, "mycx_cmplx" ,MYCX_CMPLX)) ;
}
//--------------------------------------------------------------------------
// create the Complex unary operators, Complex->Complex
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_one = GxB_ONE_FC64 ;
Complex_identity = GxB_IDENTITY_FC64 ;
Complex_ainv = GxB_AINV_FC64 ;
Complex_minv = GxB_MINV_FC64 ;
Complex_conj = GxB_CONJ_FC64 ;
}
else
{
// create user-defined versions
OK (GxB_UnaryOp_new (&Complex_one , U mycx_one , Complex, Complex, "mycx_one" , MYCX_ONE)) ;
OK (GxB_UnaryOp_new (&Complex_identity, U mycx_identity, Complex, Complex, "mycx_identity", MYCX_IDENTITY)) ;
OK (GxB_UnaryOp_new (&Complex_ainv , U mycx_ainv , Complex, Complex, "mycx_ainv" , MYCX_AINV)) ;
OK (GxB_UnaryOp_new (&Complex_minv , U mycx_minv , Complex, Complex, "mycx_minv" , MYCX_MINV)) ;
OK (GxB_UnaryOp_new (&Complex_conj , U mycx_conj , Complex, Complex, "mycx_conj" , MYCX_CONJ)) ;
}
// these are not built-in
if (builtin_complex)
{
OK (GxB_UnaryOp_new (&Complex_abs , U fx64_abs , Complex, Complex, "fx64_abs" , FX64_ABS)) ;
OK (GxB_UnaryOp_new (&Complex_not , U fx64_not , Complex, Complex, "fx64_not" , FX64_NOT)) ;
}
else
{
OK (GxB_UnaryOp_new (&Complex_abs , U mycx_abs , Complex, Complex, "mycx_abs" , MYCX_ABS)) ;
OK (GxB_UnaryOp_new (&Complex_not , U mycx_not , Complex, Complex, "mycx_not" , MYCX_NOT)) ;
}
//--------------------------------------------------------------------------
// create the unary functions, Complex -> double
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_real = GxB_CREAL_FC64 ;
Complex_imag = GxB_CIMAG_FC64 ;
Complex_cabs = GxB_ABS_FC64 ;
Complex_angle = GxB_CARG_FC64 ;
}
else
{
// create user-defined versions
OK (GxB_UnaryOp_new (&Complex_real , U mycx_real ,GrB_FP64, Complex, "mycx_real" , MYCX_REAL)) ;
OK (GxB_UnaryOp_new (&Complex_imag , U mycx_imag ,GrB_FP64, Complex, "mycx_imag" , MYCX_IMAG)) ;
OK (GxB_UnaryOp_new (&Complex_cabs , U mycx_cabs ,GrB_FP64, Complex, "mycx_cabs" , MYCX_CABS)) ;
OK (GxB_UnaryOp_new (&Complex_angle , U mycx_angle ,GrB_FP64, Complex, "mycx_angle" , MYCX_ANGLE)) ;
}
//--------------------------------------------------------------------------
// create the unary functions, double -> Complex
//--------------------------------------------------------------------------
// these are not built-in
if (builtin_complex)
{
OK (GxB_UnaryOp_new (&Complex_complex_real, U fx64_cmplx_real, Complex, GrB_FP64, "fx64_cmplx_real", FX64_CMPLX_REAL)) ;
OK (GxB_UnaryOp_new (&Complex_complex_imag, U fx64_cmplx_imag, Complex, GrB_FP64, "fx64_cmplx_imag", FX64_CMPLX_IMAG)) ;
}
else
{
OK (GxB_UnaryOp_new (&Complex_complex_real, U mycx_cmplx_real, Complex, GrB_FP64, "mycx_cmplx_real", MYCX_CMPLX_REAL)) ;
OK (GxB_UnaryOp_new (&Complex_complex_imag, U mycx_cmplx_imag, Complex, GrB_FP64, "mycx_cmplx_imag", MYCX_CMPLX_IMAG)) ;
}
//--------------------------------------------------------------------------
// create the Complex monoids
//--------------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_plus_monoid = GxB_PLUS_FC64_MONOID ;
Complex_times_monoid = GxB_TIMES_FC64_MONOID ;
}
else
{
// create user-defined versions
mycx one, zero ;
one.re = 1 ;
one.im = 0 ;
zero.re = 0 ;
zero.im = 0 ;
OK (GrB_Monoid_new_UDT (&Complex_plus_monoid, Complex_plus, (void *) &zero)) ;
OK (GrB_Monoid_new_UDT (&Complex_times_monoid, Complex_times, (void *) &one)) ;
}
//----------------------------------------------------------------------
// create the Complex plus-times semiring
//----------------------------------------------------------------------
if (builtin_complex)
{
// use the built-in versions
Complex_plus_times = GxB_PLUS_TIMES_FC64 ;
}
else
{
// more could be created, but this suffices for testing GraphBLAS
OK (GrB_Semiring_new (&Complex_plus_times, Complex_plus_monoid, Complex_times)) ;
}
return (GrB_SUCCESS) ;
}
//------------------------------------------------------------------------------
// Complex_finalize: free all complex types, operators, monoids, and semiring
//------------------------------------------------------------------------------
// These may be built-in types and operators. They are safe to free; the
// GrB_*_free functions silently do nothing if asked to free bulit-in objects.
GrB_Info Complex_finalize ( )
{
//--------------------------------------------------------------------------
// free the Complex plus-times semiring
//--------------------------------------------------------------------------
GrB_Semiring_free (&Complex_plus_times) ;
//--------------------------------------------------------------------------
// free the Complex monoids
//--------------------------------------------------------------------------
GrB_Monoid_free (&Complex_plus_monoid ) ;
GrB_Monoid_free (&Complex_times_monoid) ;
//--------------------------------------------------------------------------
// free the Complex binary operators, CxC->complex
//--------------------------------------------------------------------------
GrB_BinaryOp_free (&Complex_first ) ;
GrB_BinaryOp_free (&Complex_second) ;
GrB_BinaryOp_free (&Complex_pair ) ;
GrB_BinaryOp_free (&Complex_min ) ;
GrB_BinaryOp_free (&Complex_max ) ;
GrB_BinaryOp_free (&Complex_plus ) ;
GrB_BinaryOp_free (&Complex_minus ) ;
GrB_BinaryOp_free (&Complex_rminus) ;
GrB_BinaryOp_free (&Complex_times ) ;
GrB_BinaryOp_free (&Complex_div ) ;
GrB_BinaryOp_free (&Complex_rdiv ) ;
GrB_BinaryOp_free (&Complex_iseq) ;
GrB_BinaryOp_free (&Complex_isne) ;
GrB_BinaryOp_free (&Complex_isgt) ;
GrB_BinaryOp_free (&Complex_islt) ;
GrB_BinaryOp_free (&Complex_isge) ;
GrB_BinaryOp_free (&Complex_isle) ;
GrB_BinaryOp_free (&Complex_or) ;
GrB_BinaryOp_free (&Complex_and) ;
GrB_BinaryOp_free (&Complex_xor) ;
//--------------------------------------------------------------------------
// free the Complex binary operators, CxC -> bool
//--------------------------------------------------------------------------
GrB_BinaryOp_free (&Complex_eq) ;
GrB_BinaryOp_free (&Complex_ne) ;
GrB_BinaryOp_free (&Complex_gt) ;
GrB_BinaryOp_free (&Complex_lt) ;
GrB_BinaryOp_free (&Complex_ge) ;
GrB_BinaryOp_free (&Complex_le) ;
//--------------------------------------------------------------------------
// free the Complex binary operator, double x double -> complex
//--------------------------------------------------------------------------
GrB_BinaryOp_free (&Complex_complex) ;
//--------------------------------------------------------------------------
// free the Complex unary operators, complex->complex
//--------------------------------------------------------------------------
GrB_UnaryOp_free (&Complex_one ) ;
GrB_UnaryOp_free (&Complex_identity) ;
GrB_UnaryOp_free (&Complex_ainv ) ;
GrB_UnaryOp_free (&Complex_abs ) ;
GrB_UnaryOp_free (&Complex_minv ) ;
GrB_UnaryOp_free (&Complex_not ) ;
GrB_UnaryOp_free (&Complex_conj ) ;
//--------------------------------------------------------------------------
// free the unary functions, complex -> double
//--------------------------------------------------------------------------
GrB_UnaryOp_free (&Complex_real ) ;
GrB_UnaryOp_free (&Complex_imag ) ;
GrB_UnaryOp_free (&Complex_cabs ) ;
GrB_UnaryOp_free (&Complex_angle) ;
//--------------------------------------------------------------------------
// free the unary functions, double -> complex
//--------------------------------------------------------------------------
GrB_UnaryOp_free (&Complex_complex_real) ;
GrB_UnaryOp_free (&Complex_complex_imag) ;
//--------------------------------------------------------------------------
// free the Complex type
//--------------------------------------------------------------------------
GrB_Type_free (&Complex) ;
return (GrB_SUCCESS) ;
}
#undef U
#undef B
#undef FREE_ALL
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