//------------------------------------------------------------------------------
// GB_math_macros.h: simple math macros
//------------------------------------------------------------------------------

// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2023, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0

//------------------------------------------------------------------------------

#ifndef GB_MATH_MACROS_H
#define GB_MATH_MACROS_H

//------------------------------------------------------------------------------
// min, max, and NaN handling
//------------------------------------------------------------------------------

// For floating-point computations, SuiteSparse:GraphBLAS relies on the IEEE
// 754 standard for the basic operations (+ - / *).  Comparator also
// work as they should; any compare with NaN is always false, even
// eq(NaN,NaN) is false.  This follows the IEEE 754 standard.

// For integer MIN and MAX, SuiteSparse:GraphBLAS relies on one comparator:
// z = min(x,y) = (x < y) ? x : y
// z = max(x,y) = (x > y) ? x : y

// However, this is not suitable for floating-point x and y.  Compares with
// NaN always return false, so if either x or y are NaN, then z = y, for both
// min(x,y) and max(x,y).

// The C11 fmin, fminf, fmax, and fmaxf functions have the 'omitnan'
// behavior.  These are used in SuiteSparse:GraphBLAS v2.3.0 and later.

// for integers only:
#define GB_IABS(x) (((x) >= 0) ? (x) : (-(x)))

// suitable for integers, and non-NaN floating point:
#define GB_IMAX(x,y) (((x) > (y)) ? (x) : (y))
#define GB_IMIN(x,y) (((x) < (y)) ? (x) : (y))

// ceiling of a/b for two integers a and b
#include "GB_iceil.h"

#endif