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|
//------------------------------------------------------------------------------
// GB_ops_template.h: define the unary and binary functions and operators
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// This file is #include'd many times in GB_ops.h to define the unary and
// binary functions.
#define GB_UNOP_STRUCT(op,xtype) \
GB_PUBLIC struct GB_UnaryOp_opaque GB_OPAQUE (GB_EVAL3 (op, _, xtype))
#define GB_BINOP_STRUCT(op,xtype) \
GB_PUBLIC struct GB_BinaryOp_opaque GB_OPAQUE (GB_EVAL3 (op, _, xtype))
#define GB_IDXOP_STRUCT(op,xtype) \
GB_PUBLIC struct GB_IndexUnaryOp_opaque \
GB_OPAQUE (GB_EVAL3 (op, _, xtype))
//------------------------------------------------------------------------------
// z = one (x)
//------------------------------------------------------------------------------
GB_UNOP_STRUCT (ONE,GB_XTYPE) ;
inline void GB_FUNC (ONE) (GB_TYPE *z, const GB_TYPE *x)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GxB_CMPLXF (1,0) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GxB_CMPLX (1,0) ;
#else
(*z) = ((GB_TYPE) 1) ;
#endif
}
//------------------------------------------------------------------------------
// z = identity (x)
//------------------------------------------------------------------------------
GB_UNOP_STRUCT (IDENTITY, GB_XTYPE) ;
inline void GB_FUNC (IDENTITY) (GB_TYPE *z, const GB_TYPE *x)
{
(*z) = (*x) ;
}
//------------------------------------------------------------------------------
// z = ainv (x)
//------------------------------------------------------------------------------
GB_UNOP_STRUCT (AINV, GB_XTYPE) ;
inline void GB_FUNC (AINV) (GB_TYPE *z, const GB_TYPE *x)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_ainv (*x) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_ainv (*x) ;
#elif defined ( GB_BOOLEAN )
(*z) = (*x) ;
#else
// integer (signed or unsigned). unsigned int remains unsigned.
(*z) = -(*x) ;
#endif
}
//------------------------------------------------------------------------------
// z = minv (x)
//------------------------------------------------------------------------------
GB_UNOP_STRUCT (MINV, GB_XTYPE) ;
inline void GB_FUNC (MINV) (GB_TYPE *z, const GB_TYPE *x)
{
#if defined ( GB_BOOLEAN )
(*z) = true ;
#elif defined ( GB_SIGNED_INT )
(*z) = GB_IMINV_SIGNED ((*x), GB_BITS) ;
#elif defined ( GB_UNSIGNED_INT )
(*z) = GB_IMINV_UNSIGNED ((*x), GB_BITS) ;
#elif defined ( GB_FLOAT )
(*z) = 1 / (*x) ;
#elif defined ( GB_DOUBLE )
(*z) = 1 / (*x) ;
#elif defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_minv (*x) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_minv (*x) ;
#endif
}
//------------------------------------------------------------------------------
// z = abs (x)
//------------------------------------------------------------------------------
GB_UNOP_STRUCT (ABS, GB_XTYPE) ;
#if defined ( GB_REAL )
// GrB_ABS_* for non-complex types
inline void GB_FUNC (ABS) (GB_TYPE *z, const GB_TYPE *x)
{
#if defined ( GB_BOOLEAN )
(*z) = (*x) ;
#elif defined ( GB_SIGNED_INT )
(*z) = GB_IABS ((*x)) ;
#elif defined ( GB_UNSIGNED_INT )
(*z) = (*x) ;
#elif defined ( GB_FLOAT )
(*z) = fabsf (*x) ;
#elif defined ( GB_DOUBLE )
(*z) = fabs (*x) ;
#endif
}
#else
// GxB_ABS_FC* for complex types
#if defined ( GB_FLOAT_COMPLEX )
inline void GB_FUNC (ABS) (float *z, const GB_TYPE *x)
{
(*z) = cabsf (*x) ;
}
#else
inline void GB_FUNC (ABS) (double *z, const GB_TYPE *x)
{
(*z) = cabs (*x) ;
}
#endif
#endif
//------------------------------------------------------------------------------
// z = lnot (x), for real types only
//------------------------------------------------------------------------------
#if defined ( GB_REAL )
GB_UNOP_STRUCT (LNOT, GB_XTYPE) ;
inline void GB_FUNC (LNOT) (GB_TYPE *z, const GB_TYPE *x)
{
#if defined ( GB_BOOLEAN )
(*z) = ! (*x) ;
#else
(*z) = ! ((*x) != 0) ;
#endif
}
#endif
//------------------------------------------------------------------------------
// z = bnot (x), bitwise complement, for integer types only
//------------------------------------------------------------------------------
#if defined ( GB_SIGNED_INT ) || defined ( GB_UNSIGNED_INT )
GB_UNOP_STRUCT (BNOT, GB_XTYPE) ;
inline void GB_FUNC (BNOT) (GB_TYPE *z, const GB_TYPE *x)
{
(*z) = ~ (*x) ;
}
#endif
//------------------------------------------------------------------------------
// z = frexpx (x) and z = frexpe (x)
//------------------------------------------------------------------------------
#if defined ( GB_FLOAT )
GB_UNOP_STRUCT (FREXPX, GB_XTYPE) ;
inline void GB_FUNC (FREXPX) (float *z, const float *x)
{
(*z) = GB_frexpxf (*x) ;
}
GB_UNOP_STRUCT (FREXPE, GB_XTYPE) ;
inline void GB_FUNC (FREXPE) (float *z, const float *x)
{
(*z) = GB_frexpef (*x) ;
}
#elif defined ( GB_DOUBLE )
GB_UNOP_STRUCT (FREXPX, GB_XTYPE) ;
inline void GB_FUNC (FREXPX) (double *z, const double *x)
{
(*z) = GB_frexpx (*x) ;
}
GB_UNOP_STRUCT (FREXPE, GB_XTYPE) ;
inline void GB_FUNC (FREXPE) (double *z, const double *x)
{
(*z) = GB_frexpe (*x) ;
}
#endif
//------------------------------------------------------------------------------
// unary operators for floating-point types
//------------------------------------------------------------------------------
// For these operators, the input and output types are the same.
#undef GB_OP
#define GB_OP(op,func) \
GB_UNOP_STRUCT (op, GB_XTYPE) ; \
inline void GB_FUNC (op) (GB_TYPE *z, const GB_TYPE *x) \
{ \
(*z) = func (*x) ; \
}
#if defined ( GB_FLOAT )
//--------------------------------------------------------------------------
// float
//--------------------------------------------------------------------------
GB_OP (SQRT , sqrtf )
GB_OP (LOG , logf )
GB_OP (EXP , expf )
GB_OP (SIN , sinf )
GB_OP (COS , cosf )
GB_OP (TAN , tanf )
GB_OP (ASIN , asinf )
GB_OP (ACOS , acosf )
GB_OP (ATAN , atanf )
GB_OP (SINH , sinhf )
GB_OP (COSH , coshf )
GB_OP (TANH , tanhf )
GB_OP (ASINH , asinhf )
GB_OP (ACOSH , acoshf )
GB_OP (ATANH , atanhf )
GB_OP (SIGNUM, GB_signumf )
GB_OP (CEIL , ceilf )
GB_OP (FLOOR , floorf )
GB_OP (ROUND , roundf )
GB_OP (TRUNC , truncf )
GB_OP (EXP2 , exp2f )
GB_OP (EXPM1 , expm1f )
GB_OP (LOG10 , log10f )
GB_OP (LOG1P , log1pf )
GB_OP (LOG2 , log2f )
// real only
GB_OP (LGAMMA, lgammaf )
GB_OP (TGAMMA, tgammaf )
GB_OP (ERF , erff )
GB_OP (ERFC , erfcf )
GB_OP (CBRT , cbrtf )
#elif defined ( GB_DOUBLE )
//--------------------------------------------------------------------------
// double
//--------------------------------------------------------------------------
GB_OP (SQRT , sqrt )
GB_OP (LOG , log )
GB_OP (EXP , exp )
GB_OP (SIN , sin )
GB_OP (COS , cos )
GB_OP (TAN , tan )
GB_OP (ASIN , asin )
GB_OP (ACOS , acos )
GB_OP (ATAN , atan )
GB_OP (SINH , sinh )
GB_OP (COSH , cosh )
GB_OP (TANH , tanh )
GB_OP (ASINH , asinh )
GB_OP (ACOSH , acosh )
GB_OP (ATANH , atanh )
GB_OP (SIGNUM, GB_signum )
GB_OP (CEIL , ceil )
GB_OP (FLOOR , floor )
GB_OP (ROUND , round )
GB_OP (TRUNC , trunc )
GB_OP (EXP2 , exp2 )
GB_OP (EXPM1 , expm1 )
GB_OP (LOG10 , log10 )
GB_OP (LOG1P , log1p )
GB_OP (LOG2 , log2 )
// real only
GB_OP (LGAMMA, lgamma )
GB_OP (TGAMMA, tgamma )
GB_OP (ERF , erf )
GB_OP (ERFC , erfc )
GB_OP (CBRT , cbrt )
#elif defined ( GB_FLOAT_COMPLEX )
//--------------------------------------------------------------------------
// float complex
//--------------------------------------------------------------------------
GB_OP (SQRT , csqrtf )
GB_OP (LOG , clogf )
GB_OP (EXP , cexpf )
GB_OP (SIN , csinf )
GB_OP (COS , ccosf )
GB_OP (TAN , ctanf )
GB_OP (ASIN , casinf )
GB_OP (ACOS , cacosf )
GB_OP (ATAN , catanf )
GB_OP (SINH , csinhf )
GB_OP (COSH , ccoshf )
GB_OP (TANH , ctanhf )
GB_OP (ASINH , casinhf )
GB_OP (ACOSH , cacoshf )
GB_OP (ATANH , catanhf )
GB_OP (SIGNUM, GB_csignumf )
GB_OP (CEIL , GB_cceilf )
GB_OP (FLOOR , GB_cfloorf )
GB_OP (ROUND , GB_croundf )
GB_OP (TRUNC , GB_ctruncf )
GB_OP (EXP2 , GB_cexp2f )
GB_OP (EXPM1 , GB_cexpm1f )
GB_OP (LOG10 , GB_clog10f )
GB_OP (LOG1P , GB_clog1pf )
GB_OP (LOG2 , GB_clog2f )
// complex only
GB_OP (CONJ , conjf )
#elif defined ( GB_DOUBLE_COMPLEX )
//--------------------------------------------------------------------------
// double complex
//--------------------------------------------------------------------------
GB_OP (SQRT , csqrt )
GB_OP (LOG , clog )
GB_OP (EXP , cexp )
GB_OP (SIN , csin )
GB_OP (COS , ccos )
GB_OP (TAN , ctan )
GB_OP (ASIN , casin )
GB_OP (ACOS , cacos )
GB_OP (ATAN , catan )
GB_OP (SINH , csinh )
GB_OP (COSH , ccosh )
GB_OP (TANH , ctanh )
GB_OP (ASINH , casinh )
GB_OP (ACOSH , cacosh )
GB_OP (ATANH , catanh )
GB_OP (SIGNUM, GB_csignum )
GB_OP (CEIL , GB_cceil )
GB_OP (FLOOR , GB_cfloor )
GB_OP (ROUND , GB_cround )
GB_OP (TRUNC , GB_ctrunc )
GB_OP (EXP2 , GB_cexp2 )
GB_OP (EXPM1 , GB_cexpm1 )
GB_OP (LOG10 , GB_clog10 )
GB_OP (LOG1P , GB_clog1p )
GB_OP (LOG2 , GB_clog2 )
// complex only
GB_OP (CONJ , conj )
#endif
//------------------------------------------------------------------------------
// unary operators z=f(x) where z and x have different types
//------------------------------------------------------------------------------
// x is float, double, float complex, or double complex
#undef GB_OP
#define GB_OP(op,expression,z_t,x_t) \
GB_UNOP_STRUCT(op, GB_XTYPE) ; \
inline void GB_FUNC (op) (z_t *z, const x_t *x) \
{ \
(*z) = expression ; \
}
#if defined ( GB_FLOAT )
GB_OP (ISINF , (isinf (*x)) , bool, float)
GB_OP (ISNAN , (isnan (*x)) , bool, float)
GB_OP (ISFINITE , (isfinite (*x)) , bool, float)
#elif defined ( GB_DOUBLE )
GB_OP (ISINF , (isinf (*x)) , bool, double)
GB_OP (ISNAN , (isnan (*x)) , bool, double)
GB_OP (ISFINITE , (isfinite (*x)) , bool, double)
#elif defined ( GB_FLOAT_COMPLEX )
GB_OP (ISINF , GB_cisinff (*x) , bool, GxB_FC32_t)
GB_OP (ISNAN , GB_cisnanf (*x) , bool, GxB_FC32_t)
GB_OP (ISFINITE , GB_cisfinitef (*x), bool, GxB_FC32_t)
// complex only
GB_OP (CREAL , crealf (*x), float, GxB_FC32_t)
GB_OP (CIMAG , cimagf (*x), float, GxB_FC32_t)
GB_OP (CARG , cargf (*x), float, GxB_FC32_t)
#elif defined ( GB_DOUBLE_COMPLEX )
GB_OP (ISINF , GB_cisinf (*x) , bool, GxB_FC64_t)
GB_OP (ISNAN , GB_cisnan (*x) , bool, GxB_FC64_t)
GB_OP (ISFINITE , GB_cisfinite (*x) , bool, GxB_FC64_t)
// complex only
GB_OP (CREAL , creal (*x), double, GxB_FC64_t)
GB_OP (CIMAG , cimag (*x), double, GxB_FC64_t)
GB_OP (CARG , carg (*x), double, GxB_FC64_t)
#endif
//------------------------------------------------------------------------------
// binary functions z=f(x,y) where x,y,z have the same type, for all types
//------------------------------------------------------------------------------
// first, second, pair, any, plus, minus, rminus, times, div, rdiv, pow
#define GB_Z_X_Y_ARGS GB_TYPE *z, const GB_TYPE *x, const GB_TYPE *y
GB_BINOP_STRUCT (FIRST, GB_XTYPE) ;
inline void GB_FUNC (FIRST) (GB_Z_X_Y_ARGS)
{
(*z) = (*x) ;
}
GB_BINOP_STRUCT (SECOND, GB_XTYPE) ;
inline void GB_FUNC (SECOND) (GB_Z_X_Y_ARGS)
{
(*z) = (*y) ;
}
GB_BINOP_STRUCT (PAIR, GB_XTYPE) ;
inline void GB_FUNC (PAIR) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GxB_CMPLXF (1, 0) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GxB_CMPLX (1, 0) ;
#else
(*z) = 1 ;
#endif
}
GB_BINOP_STRUCT (ANY, GB_XTYPE) ;
inline void GB_FUNC (ANY) (GB_Z_X_Y_ARGS) // same as SECOND
{
(*z) = (*y) ;
}
GB_BINOP_STRUCT (PLUS, GB_XTYPE) ;
inline void GB_FUNC (PLUS) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_add (*x,*y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_add (*x,*y) ;
#else
(*z) = (*x) + (*y) ;
#endif
}
GB_BINOP_STRUCT (MINUS, GB_XTYPE) ;
inline void GB_FUNC (MINUS) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_minus (*x,*y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_minus (*x,*y) ;
#else
(*z) = (*x) - (*y) ;
#endif
}
GB_BINOP_STRUCT (RMINUS, GB_XTYPE) ;
inline void GB_FUNC (RMINUS) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_minus (*y,*x) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_minus (*y,*x) ;
#else
(*z) = (*y) - (*x) ;
#endif
}
GB_BINOP_STRUCT (TIMES, GB_XTYPE) ;
inline void GB_FUNC (TIMES) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_mul (*x,*y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_mul (*x,*y) ;
#else
(*z) = (*x) * (*y) ;
#endif
}
GB_BINOP_STRUCT (DIV, GB_XTYPE) ;
inline void GB_FUNC (DIV) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_BOOLEAN )
// boolean div (== first)
(*z) = (*x) ;
#elif defined ( GB_SIGNED_INT )
(*z) = GB_IDIV_SIGNED ((*x), (*y), GB_BITS) ;
#elif defined ( GB_UNSIGNED_INT )
(*z) = GB_IDIV_UNSIGNED ((*x), (*y), GB_BITS) ;
#elif defined ( GB_FLOAT ) || defined ( GB_DOUBLE )
(*z) = (*x) / (*y) ;
#elif defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_div (*x, *y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_div (*x, *y) ;
#endif
}
GB_BINOP_STRUCT (RDIV, GB_XTYPE) ;
inline void GB_FUNC (RDIV) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_BOOLEAN )
// boolean rdiv (== second)
(*z) = (*y) ;
#elif defined ( GB_SIGNED_INT )
(*z) = GB_IDIV_SIGNED ((*y), (*x), GB_BITS) ;
#elif defined ( GB_UNSIGNED_INT )
(*z) = GB_IDIV_UNSIGNED ((*y), (*x), GB_BITS) ;
#elif defined ( GB_FLOAT ) || defined ( GB_DOUBLE )
(*z) = (*y) / (*x) ;
#elif defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_div (*y, *x) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_div (*y, *x) ;
#endif
}
// z = pow (x,y)
GB_BINOP_STRUCT (POW, GB_XTYPE) ;
inline void GB_FUNC (POW) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_BOOLEAN )
(*z) = (*x) || (!(*y)) ;
#elif defined ( GB_SIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_pow_int8 ((*x), (*y)) ;
#elif ( GB_BITS == 16)
(*z) = GB_pow_int16 ((*x), (*y)) ;
#elif ( GB_BITS == 32)
(*z) = GB_pow_int32 ((*x), (*y)) ;
#elif ( GB_BITS == 64)
(*z) = GB_pow_int64 ((*x), (*y)) ;
#endif
#elif defined ( GB_UNSIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_pow_uint8 ((*x), (*y)) ;
#elif ( GB_BITS == 16)
(*z) = GB_pow_uint16 ((*x), (*y)) ;
#elif ( GB_BITS == 32)
(*z) = GB_pow_uint32 ((*x), (*y)) ;
#elif ( GB_BITS == 64)
(*z) = GB_pow_uint64 ((*x), (*y)) ;
#endif
#elif defined ( GB_FLOAT )
(*z) = GB_powf ((*x), (*y)) ;
#elif defined ( GB_DOUBLE )
(*z) = GB_pow ((*x), (*y)) ;
#elif defined ( GB_FLOAT_COMPLEX )
(*z) = GB_cpowf ((*x), (*y)) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_cpow ((*x), (*y)) ;
#endif
}
//------------------------------------------------------------------------------
// binary operators for real types only
//------------------------------------------------------------------------------
// min and max: real only, not complex
#if defined ( GB_REAL )
GB_BINOP_STRUCT (MIN, GB_XTYPE) ;
inline void GB_FUNC (MIN) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT )
(*z) = fminf ((*x), (*y)) ;
#elif defined ( GB_DOUBLE )
(*z) = fmin ((*x), (*y)) ;
#else
(*z) = GB_IMIN ((*x), (*y)) ;
#endif
}
GB_BINOP_STRUCT (MAX, GB_XTYPE) ;
inline void GB_FUNC (MAX) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT )
(*z) = fmaxf ((*x), (*y)) ;
#elif defined ( GB_DOUBLE )
(*z) = fmax ((*x), (*y)) ;
#else
(*z) = GB_IMAX ((*x), (*y)) ;
#endif
}
#endif
//------------------------------------------------------------------------------
// binary operators for integer types only
//------------------------------------------------------------------------------
#if defined ( GB_SIGNED_INT ) || defined ( GB_UNSIGNED_INT )
GB_BINOP_STRUCT (BOR, GB_XTYPE) ;
inline void GB_FUNC (BOR ) (GB_Z_X_Y_ARGS) { (*z) = (*x) | (*y) ; }
GB_BINOP_STRUCT (BAND, GB_XTYPE) ;
inline void GB_FUNC (BAND ) (GB_Z_X_Y_ARGS) { (*z) = (*x) & (*y) ; }
GB_BINOP_STRUCT (BXOR, GB_XTYPE) ;
inline void GB_FUNC (BXOR ) (GB_Z_X_Y_ARGS) { (*z) = (*x) ^ (*y) ; }
GB_BINOP_STRUCT (BXNOR, GB_XTYPE) ;
inline void GB_FUNC (BXNOR) (GB_Z_X_Y_ARGS) { (*z) = ~((*x) ^ (*y)) ; }
GB_BINOP_STRUCT (BGET, GB_XTYPE) ;
inline void GB_FUNC (BGET) (GB_Z_X_Y_ARGS)
{
// bitget (x,y) returns a single bit from x, as 0 or 1, whose position
// is given by y. y = 1 is the least significant bit, and y = GB_BITS
// (64 for uint64) is the most significant bit. If y is outside this
// range, the result is zero.
GB_TYPE k = (*y) ;
#if defined ( GB_SIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_BITGET ((*x), k, int8_t, 8) ;
#elif ( GB_BITS == 16)
(*z) = GB_BITGET ((*x), k, int16_t, 16) ;
#elif ( GB_BITS == 32)
(*z) = GB_BITGET ((*x), k, int32_t, 32) ;
#elif ( GB_BITS == 64)
(*z) = GB_BITGET ((*x), k, int64_t, 64) ;
#endif
#elif defined ( GB_UNSIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_BITGET ((*x), k, uint8_t, 8) ;
#elif ( GB_BITS == 16)
(*z) = GB_BITGET ((*x), k, uint16_t, 16) ;
#elif ( GB_BITS == 32)
(*z) = GB_BITGET ((*x), k, uint32_t, 32) ;
#elif ( GB_BITS == 64)
(*z) = GB_BITGET ((*x), k, uint64_t, 64) ;
#endif
#endif
}
GB_BINOP_STRUCT (BSET, GB_XTYPE) ;
inline void GB_FUNC (BSET) (GB_Z_X_Y_ARGS)
{
// bitset (x,y) returns x modified by setting a bit from x to 1, whose
// position is given by y. If y is in the range 1 to GB_BITS, then y
// gives the position of the bit to set. If y is outside the range 1
// to GB_BITS, then z = x is returned, unmodified.
GB_TYPE k = (*y) ;
#if defined ( GB_SIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_BITSET ((*x), k, int8_t, 8) ;
#elif ( GB_BITS == 16)
(*z) = GB_BITSET ((*x), k, int16_t, 16) ;
#elif ( GB_BITS == 32)
(*z) = GB_BITSET ((*x), k, int32_t, 32) ;
#elif ( GB_BITS == 64)
(*z) = GB_BITSET ((*x), k, int64_t, 64) ;
#endif
#elif defined ( GB_UNSIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_BITSET ((*x), k, uint8_t, 8) ;
#elif ( GB_BITS == 16)
(*z) = GB_BITSET ((*x), k, uint16_t, 16) ;
#elif ( GB_BITS == 32)
(*z) = GB_BITSET ((*x), k, uint32_t, 32) ;
#elif ( GB_BITS == 64)
(*z) = GB_BITSET ((*x), k, uint64_t, 64) ;
#endif
#endif
}
GB_BINOP_STRUCT (BCLR, GB_XTYPE) ;
inline void GB_FUNC (BCLR) (GB_Z_X_Y_ARGS)
{
// bitclr (x,y) returns x modified by setting a bit from x to 0, whose
// position is given by y. If y is in the range 1 to GB_BITS, then y
// gives the position of the bit to clear. If y is outside the range 1
// to GB_BITS, then z = x is returned, unmodified.
GB_TYPE k = (*y) ;
#if defined ( GB_SIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_BITCLR ((*x), k, int8_t, 8) ;
#elif ( GB_BITS == 16)
(*z) = GB_BITCLR ((*x), k, int16_t, 16) ;
#elif ( GB_BITS == 32)
(*z) = GB_BITCLR ((*x), k, int32_t, 32) ;
#elif ( GB_BITS == 64)
(*z) = GB_BITCLR ((*x), k, int64_t, 64) ;
#endif
#elif defined ( GB_UNSIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_BITCLR ((*x), k, uint8_t, 8) ;
#elif ( GB_BITS == 16)
(*z) = GB_BITCLR ((*x), k, uint16_t, 16) ;
#elif ( GB_BITS == 32)
(*z) = GB_BITCLR ((*x), k, uint32_t, 32) ;
#elif ( GB_BITS == 64)
(*z) = GB_BITCLR ((*x), k, uint64_t, 64) ;
#endif
#endif
}
// z = bitshift (x,y)
GB_BINOP_STRUCT (BSHIFT, GB_XTYPE) ;
inline void GB_FUNC (BSHIFT) (GB_TYPE *z, const GB_TYPE *x, const int8_t *y)
{
// bitshift (x,k) shifts x to the left by k bits if k > 0, and the
// right by -k bits if k < 0.
int8_t k = (int8_t) (*y) ;
#if defined ( GB_SIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_bitshift_int8 ((*x), k) ;
#elif ( GB_BITS == 16)
(*z) = GB_bitshift_int16 ((*x), k) ;
#elif ( GB_BITS == 32)
(*z) = GB_bitshift_int32 ((*x), k) ;
#elif ( GB_BITS == 64)
(*z) = GB_bitshift_int64 ((*x), k) ;
#endif
#elif defined ( GB_UNSIGNED_INT )
#if ( GB_BITS == 8)
(*z) = GB_bitshift_uint8 ((*x), k) ;
#elif ( GB_BITS == 16)
(*z) = GB_bitshift_uint16 ((*x), k) ;
#elif ( GB_BITS == 32)
(*z) = GB_bitshift_uint32 ((*x), k) ;
#elif ( GB_BITS == 64)
(*z) = GB_bitshift_uint64 ((*x), k) ;
#endif
#endif
}
#endif
//------------------------------------------------------------------------------
// binary operators for real floating-point inputs only
//------------------------------------------------------------------------------
#if defined ( GB_FLOAT )
inline void GB_FUNC (ATAN2) (GB_Z_X_Y_ARGS) { (*z) = atan2f ((*x),(*y)) ; }
inline void GB_FUNC (HYPOT) (GB_Z_X_Y_ARGS) { (*z) = hypotf ((*x),(*y)) ; }
inline void GB_FUNC (FMOD) (GB_Z_X_Y_ARGS) { (*z) = fmodf ((*x),(*y)) ; }
inline void GB_FUNC (REMAINDER) (GB_Z_X_Y_ARGS)
{
(*z) = remainderf ((*x),(*y)) ;
}
inline void GB_FUNC (COPYSIGN) (GB_Z_X_Y_ARGS)
{
(*z) = copysignf ((*x),(*y)) ;
}
inline void GB_FUNC (LDEXP) (GB_Z_X_Y_ARGS)
{
(*z) = ldexpf ((*x), (int) truncf (*y)) ;
}
inline void GB_FUNC (CMPLX) (GxB_FC32_t *z, const float *x, const float *y)
{
(*z) = GxB_CMPLXF ((*x),(*y)) ;
}
#elif defined ( GB_DOUBLE )
inline void GB_FUNC (ATAN2) (GB_Z_X_Y_ARGS) { (*z) = atan2 ((*x),(*y)) ; }
inline void GB_FUNC (HYPOT) (GB_Z_X_Y_ARGS) { (*z) = hypot ((*x),(*y)) ; }
inline void GB_FUNC (FMOD) (GB_Z_X_Y_ARGS) { (*z) = fmod ((*x),(*y)) ; }
inline void GB_FUNC (REMAINDER) (GB_Z_X_Y_ARGS)
{
(*z) = remainder ((*x),(*y)) ;
}
inline void GB_FUNC (COPYSIGN) (GB_Z_X_Y_ARGS)
{
(*z) = copysign ((*x),(*y)) ;
}
inline void GB_FUNC (LDEXP) (GB_Z_X_Y_ARGS)
{
(*z) = ldexp ((*x), (int) trunc (*y)) ;
}
inline void GB_FUNC (CMPLX) (GxB_FC64_t *z,
const double *x, const double *y)
{
(*z) = GxB_CMPLX ((*x),(*y)) ;
}
#endif
#if defined (GB_FLOAT) || defined (GB_DOUBLE)
GB_BINOP_STRUCT (ATAN2, GB_XTYPE) ;
GB_BINOP_STRUCT (HYPOT, GB_XTYPE) ;
GB_BINOP_STRUCT (FMOD, GB_XTYPE) ;
GB_BINOP_STRUCT (REMAINDER, GB_XTYPE) ;
GB_BINOP_STRUCT (COPYSIGN, GB_XTYPE) ;
GB_BINOP_STRUCT (LDEXP, GB_XTYPE) ;
GB_BINOP_STRUCT (CMPLX, GB_XTYPE) ;
#endif
//------------------------------------------------------------------------------
// 6 binary comparators z=f(x,y), where x,y,z have the same type
//------------------------------------------------------------------------------
// iseq and isne: all 13 types, including complex types.
// isgt, islt, isge, isle: 11 real types only.
GB_BINOP_STRUCT (ISEQ, GB_XTYPE) ;
inline void GB_FUNC (ISEQ) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_iseq (*x, *y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_iseq (*x, *y) ;
#else
(*z) = (GB_TYPE) ((*x) == (*y)) ;
#endif
}
GB_BINOP_STRUCT (ISNE, GB_XTYPE) ;
inline void GB_FUNC (ISNE) (GB_Z_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_isne (*x, *y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_isne (*x, *y) ;
#else
(*z) = (GB_TYPE) ((*x) != (*y)) ;
#endif
}
#if defined ( GB_REAL )
GB_BINOP_STRUCT (ISGT, GB_XTYPE) ;
inline void GB_FUNC (ISGT) (GB_Z_X_Y_ARGS)
{
(*z) = (GB_TYPE) ((*x) > (*y)) ;
}
GB_BINOP_STRUCT (ISLT, GB_XTYPE) ;
inline void GB_FUNC (ISLT) (GB_Z_X_Y_ARGS)
{
(*z) = (GB_TYPE) ((*x) < (*y)) ;
}
GB_BINOP_STRUCT (ISGE, GB_XTYPE) ;
inline void GB_FUNC (ISGE) (GB_Z_X_Y_ARGS)
{
(*z) = (GB_TYPE) ((*x) >= (*y)) ;
}
GB_BINOP_STRUCT (ISLE, GB_XTYPE) ;
inline void GB_FUNC (ISLE) (GB_Z_X_Y_ARGS)
{
(*z) = (GB_TYPE) ((*x) <= (*y)) ;
}
#endif
//------------------------------------------------------------------------------
// 3 boolean binary functions z=f(x,y), all x,y,z the same type, real types only
//------------------------------------------------------------------------------
#if defined ( GB_REAL )
#if defined ( GB_BOOLEAN )
inline void GB_FUNC (LOR) (GB_Z_X_Y_ARGS) { (*z) = ((*x) || (*y)) ; }
inline void GB_FUNC (LAND) (GB_Z_X_Y_ARGS) { (*z) = ((*x) && (*y)) ; }
inline void GB_FUNC (LXOR) (GB_Z_X_Y_ARGS) { (*z) = ((*x) != (*y)) ; }
#else
// The inputs are of type T but are then implicitly converted to boolean
// The output z is of type T, either 1 or 0 in that type.
inline void GB_FUNC (LOR) (GB_Z_X_Y_ARGS)
{
(*z) = (GB_TYPE) (((*x) != 0) || ((*y) != 0)) ;
}
inline void GB_FUNC (LAND) (GB_Z_X_Y_ARGS)
{
(*z) = (GB_TYPE) (((*x) != 0) && ((*y) != 0)) ;
}
inline void GB_FUNC (LXOR) (GB_Z_X_Y_ARGS)
{
(*z) = (GB_TYPE) (((*x) != 0) != ((*y) != 0)) ;
}
#endif
GB_BINOP_STRUCT (LOR, GB_XTYPE) ;
GB_BINOP_STRUCT (LAND, GB_XTYPE) ;
GB_BINOP_STRUCT (LXOR, GB_XTYPE) ;
#endif
#undef GB_Z_X_Y_ARGS
//------------------------------------------------------------------------------
// 6 binary functions z=f(x,y), returning bool
//------------------------------------------------------------------------------
// eq, ne: for all 13 types
// gt, lt, ge, le: for 11 real types, not complex
#define GB_Zbool_X_Y_ARGS bool *z, const GB_TYPE *x, const GB_TYPE *y
GB_BINOP_STRUCT (EQ, GB_XTYPE) ;
inline void GB_FUNC (EQ) (GB_Zbool_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_eq (*x, *y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_eq (*x, *y) ;
#else
(*z) = ((*x) == (*y)) ;
#endif
}
GB_BINOP_STRUCT (NE, GB_XTYPE) ;
inline void GB_FUNC (NE) (GB_Zbool_X_Y_ARGS)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_ne (*x, *y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_ne (*x, *y) ;
#else
(*z) = ((*x) != (*y)) ;
#endif
}
#if !defined ( GB_COMPLEX )
GB_BINOP_STRUCT (GT, GB_XTYPE) ;
inline void GB_FUNC (GT) (GB_Zbool_X_Y_ARGS) { (*z) = ((*x) > (*y)) ; }
GB_BINOP_STRUCT (LT, GB_XTYPE) ;
inline void GB_FUNC (LT) (GB_Zbool_X_Y_ARGS) { (*z) = ((*x) < (*y)) ; }
GB_BINOP_STRUCT (GE, GB_XTYPE) ;
inline void GB_FUNC (GE) (GB_Zbool_X_Y_ARGS) { (*z) = ((*x) >= (*y)) ; }
GB_BINOP_STRUCT (LE, GB_XTYPE) ;
inline void GB_FUNC (LE) (GB_Zbool_X_Y_ARGS) { (*z) = ((*x) <= (*y)) ; }
#endif
#undef GB_Zbool_X_Y_ARGS
//------------------------------------------------------------------------------
// index_unary functions
//------------------------------------------------------------------------------
#if defined ( GB_SIGNED_INDEX )
//--------------------------------------------------------------------------
// z = f (x, i, j, y) where z and y are both int32 or int64
//--------------------------------------------------------------------------
GB_IDXOP_STRUCT (ROWINDEX, GB_XTYPE) ;
inline void GB_FUNC (ROWINDEX) (GB_TYPE *z, const void *unused,
GrB_Index i, GrB_Index j_unused, const GB_TYPE *y)
{
(*z) = (GB_TYPE) (((int64_t) i) + (*y)) ;
}
GB_IDXOP_STRUCT (COLINDEX, GB_XTYPE) ;
inline void GB_FUNC (COLINDEX) (GB_TYPE *z, const void *unused,
GrB_Index i_unused, GrB_Index j, const GB_TYPE *y)
{
(*z) = (GB_TYPE) (((int64_t) j) + (*y)) ;
}
GB_IDXOP_STRUCT (DIAGINDEX, GB_XTYPE) ;
inline void GB_FUNC (DIAGINDEX) (GB_TYPE *z, const void *unused,
GrB_Index i, GrB_Index j, const GB_TYPE *y)
{
(*z) = (GB_TYPE) (((int64_t) j) - (((int64_t) i) + (*y))) ;
}
GB_IDXOP_STRUCT (FLIPDIAGINDEX, GB_XTYPE) ;
inline void GB_FUNC (FLIPDIAGINDEX) (GB_TYPE *z, const void *unused,
GrB_Index i, GrB_Index j, const GB_TYPE *y)
{
(*z) = (GB_TYPE) (((int64_t) i) - (((int64_t) j) + (*y))) ;
}
#endif
#if defined ( GB_SIGNED_INDEX64 )
//--------------------------------------------------------------------------
// z = f (x, i, j, y) where z is bool, y is type int64
//--------------------------------------------------------------------------
GB_IDXOP_STRUCT (TRIL, GB_XTYPE) ;
inline void GB_FUNC (TRIL) (bool *z, const void *unused,
GrB_Index i, GrB_Index j, const GB_TYPE *y)
{
(*z) = (((int64_t) j) <= (((int64_t) i) + (*y))) ;
}
GB_IDXOP_STRUCT (TRIU, GB_XTYPE) ;
inline void GB_FUNC (TRIU) (bool *z, const void *unused,
GrB_Index i, GrB_Index j, const GB_TYPE *y)
{
(*z) = (((int64_t) j) >= (((int64_t) i) + (*y))) ;
}
GB_IDXOP_STRUCT (DIAG, GB_XTYPE) ;
inline void GB_FUNC (DIAG) (bool *z, const void *unused,
GrB_Index i, GrB_Index j, const GB_TYPE *y)
{
(*z) = (((int64_t) j) == (((int64_t) i) + (*y))) ;
}
GB_IDXOP_STRUCT (OFFDIAG, GB_XTYPE) ;
inline void GB_FUNC (OFFDIAG) (bool *z, const void *unused,
GrB_Index i, GrB_Index j, const GB_TYPE *y)
{
(*z) = (((int64_t) j) != (((int64_t) i) + (*y))) ;
}
GB_IDXOP_STRUCT (COLLE, GB_XTYPE) ;
inline void GB_FUNC (COLLE) (bool *z, const void *unused,
GrB_Index i_unused, GrB_Index j, const GB_TYPE *y)
{
(*z) = (((int64_t) j) <= (*y)) ;
}
GB_IDXOP_STRUCT (COLGT, GB_XTYPE) ;
inline void GB_FUNC (COLGT) (bool *z, const void *unused,
GrB_Index i_unused, GrB_Index j, const GB_TYPE *y)
{
(*z) = (((int64_t) j) > (*y)) ;
}
GB_IDXOP_STRUCT (ROWLE, GB_XTYPE) ;
inline void GB_FUNC (ROWLE) (bool *z, const void *unused,
GrB_Index i, GrB_Index j_unused, const GB_TYPE *y)
{
(*z) = (((int64_t) i) <= (*y)) ;
}
GB_IDXOP_STRUCT (ROWGT, GB_XTYPE) ;
inline void GB_FUNC (ROWGT) (bool *z, const void *unused,
GrB_Index i, GrB_Index j_unused, const GB_TYPE *y)
{
(*z) = (((int64_t) i) > (*y)) ;
}
#endif
//--------------------------------------------------------------------------
// z = f (x, i, j, y) where z is bool, y is any built-in type
//--------------------------------------------------------------------------
GB_IDXOP_STRUCT (VALUEEQ, GB_XTYPE) ;
inline void GB_FUNC (VALUEEQ) (bool *z, const GB_TYPE *x,
GrB_Index i_unused, GrB_Index j_unused, const GB_TYPE *y)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_eq (*x, *y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_eq (*x, *y) ;
#else
(*z) = ((*x) == (*y)) ;
#endif
}
GB_IDXOP_STRUCT (VALUENE, GB_XTYPE) ;
inline void GB_FUNC (VALUENE) (bool *z, const GB_TYPE *x,
GrB_Index i_unused, GrB_Index j_unused, const GB_TYPE *y)
{
#if defined ( GB_FLOAT_COMPLEX )
(*z) = GB_FC32_ne (*x, *y) ;
#elif defined ( GB_DOUBLE_COMPLEX )
(*z) = GB_FC64_ne (*x, *y) ;
#else
(*z) = ((*x) != (*y)) ;
#endif
}
#if defined ( GB_REAL )
//--------------------------------------------------------------------------
// z = f (x, i, j, y) where z is bool, y is any real built-in type
//--------------------------------------------------------------------------
GB_IDXOP_STRUCT (VALUELT, GB_XTYPE) ;
inline void GB_FUNC (VALUELT) (bool *z, const GB_TYPE *x,
GrB_Index i_unused, GrB_Index j_unused, const GB_TYPE *y)
{
(*z) = ((*x) < (*y)) ;
}
GB_IDXOP_STRUCT (VALUELE, GB_XTYPE) ;
inline void GB_FUNC (VALUELE) (bool *z, const GB_TYPE *x,
GrB_Index i_unused, GrB_Index j_unused, const GB_TYPE *y)
{
(*z) = ((*x) <= (*y)) ;
}
GB_IDXOP_STRUCT (VALUEGT, GB_XTYPE) ;
inline void GB_FUNC (VALUEGT) (bool *z, const GB_TYPE *x,
GrB_Index i_unused, GrB_Index j_unused, const GB_TYPE *y)
{
(*z) = ((*x) > (*y)) ;
}
GB_IDXOP_STRUCT (VALUEGE, GB_XTYPE) ;
inline void GB_FUNC (VALUEGE) (bool *z, const GB_TYPE *x,
GrB_Index i_unused, GrB_Index j_unused, const GB_TYPE *y)
{
(*z) = ((*x) >= (*y)) ;
}
#endif
//------------------------------------------------------------------------------
// clear macros for next use of this file
//------------------------------------------------------------------------------
#undef GB_TYPE
#undef GB_XTYPE
#undef GB_OP
#undef GB_BOOLEAN
#undef GB_FLOATING_POINT
#undef GB_UNSIGNED_INT
#undef GB_SIGNED_INT
#undef GB_SIGNED_INDEX
#undef GB_SIGNED_INDEX64
#undef GB_BITS
#undef GB_REAL
#undef GB_DOUBLE
#undef GB_FLOAT
#undef GB_DOUBLE_COMPLEX
#undef GB_FLOAT_COMPLEX
#undef GB_COMPLEX
#undef GB_UNOP_STRUCT
#undef GB_BINOP_STRUCT
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