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/*
* The implementations contained in this file are heavily based on the
* implementations found in the Berkeley SoftFloat library. As such, they are
* licensed under the same 3-clause BSD license:
*
* License for Berkeley SoftFloat Release 3e
*
* John R. Hauser
* 2018 January 20
*
* The following applies to the whole of SoftFloat Release 3e as well as to
* each source file individually.
*
* Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018 The Regents of the
* University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice,
* this list of conditions, and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions, and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
* DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#version 430
#extension GL_ARB_gpu_shader_int64 : enable
#extension GL_ARB_shader_bit_encoding : enable
#extension GL_EXT_shader_integer_mix : enable
#pragma warning(off)
/* Software IEEE floating-point rounding mode.
* GLSL spec section "4.7.1 Range and Precision":
* The rounding mode cannot be set and is undefined.
* But here, we are able to define the rounding mode at the compilation time.
*/
#define FLOAT_ROUND_NEAREST_EVEN 0
#define FLOAT_ROUND_TO_ZERO 1
#define FLOAT_ROUND_DOWN 2
#define FLOAT_ROUND_UP 3
#define FLOAT_ROUNDING_MODE FLOAT_ROUND_NEAREST_EVEN
/* Absolute value of a Float64 :
* Clear the sign bit
*/
uint64_t
__fabs64(uint64_t __a)
{
uvec2 a = unpackUint2x32(__a);
a.y &= 0x7FFFFFFFu;
return packUint2x32(a);
}
/* Returns 1 if the double-precision floating-point value `a' is a NaN;
* otherwise returns 0.
*/
bool
__is_nan(uint64_t __a)
{
uvec2 a = unpackUint2x32(__a);
return (0xFFE00000u <= (a.y<<1)) &&
((a.x != 0u) || ((a.y & 0x000FFFFFu) != 0u));
}
/* Negate value of a Float64 :
* Toggle the sign bit
*/
uint64_t
__fneg64(uint64_t __a)
{
uvec2 a = unpackUint2x32(__a);
uint t = a.y;
t ^= (1u << 31);
a.y = mix(t, a.y, __is_nan(__a));
return packUint2x32(a);
}
uint64_t
__fsign64(uint64_t __a)
{
uvec2 a = unpackUint2x32(__a);
uvec2 retval;
retval.x = 0u;
retval.y = mix((a.y & 0x80000000u) | 0x3FF00000u, 0u, (a.y << 1 | a.x) == 0u);
return packUint2x32(retval);
}
/* Returns the fraction bits of the double-precision floating-point value `a'.*/
uint
__extractFloat64FracLo(uint64_t a)
{
return unpackUint2x32(a).x;
}
uint
__extractFloat64FracHi(uint64_t a)
{
return unpackUint2x32(a).y & 0x000FFFFFu;
}
/* Returns the exponent bits of the double-precision floating-point value `a'.*/
int
__extractFloat64Exp(uint64_t __a)
{
uvec2 a = unpackUint2x32(__a);
return int((a.y>>20) & 0x7FFu);
}
bool
__feq64_nonnan(uint64_t __a, uint64_t __b)
{
uvec2 a = unpackUint2x32(__a);
uvec2 b = unpackUint2x32(__b);
return (a.x == b.x) &&
((a.y == b.y) || ((a.x == 0u) && (((a.y | b.y)<<1) == 0u)));
}
/* Returns true if the double-precision floating-point value `a' is equal to the
* corresponding value `b', and false otherwise. The comparison is performed
* according to the IEEE Standard for Floating-Point Arithmetic.
*/
bool
__feq64(uint64_t a, uint64_t b)
{
if (__is_nan(a) || __is_nan(b))
return false;
return __feq64_nonnan(a, b);
}
/* Returns true if the double-precision floating-point value `a' is not equal
* to the corresponding value `b', and false otherwise. The comparison is
* performed according to the IEEE Standard for Floating-Point Arithmetic.
*/
bool
__fne64(uint64_t a, uint64_t b)
{
if (__is_nan(a) || __is_nan(b))
return true;
return !__feq64_nonnan(a, b);
}
/* Returns the sign bit of the double-precision floating-point value `a'.*/
uint
__extractFloat64Sign(uint64_t a)
{
return unpackUint2x32(a).y >> 31;
}
/* Returns true if the 64-bit value formed by concatenating `a0' and `a1' is less
* than the 64-bit value formed by concatenating `b0' and `b1'. Otherwise,
* returns false.
*/
bool
lt64(uint a0, uint a1, uint b0, uint b1)
{
return (a0 < b0) || ((a0 == b0) && (a1 < b1));
}
bool
__flt64_nonnan(uint64_t __a, uint64_t __b)
{
uvec2 a = unpackUint2x32(__a);
uvec2 b = unpackUint2x32(__b);
uint aSign = __extractFloat64Sign(__a);
uint bSign = __extractFloat64Sign(__b);
if (aSign != bSign)
return (aSign != 0u) && ((((a.y | b.y)<<1) | a.x | b.x) != 0u);
return mix(lt64(a.y, a.x, b.y, b.x), lt64(b.y, b.x, a.y, a.x), aSign != 0u);
}
/* Returns true if the double-precision floating-point value `a' is less than
* the corresponding value `b', and false otherwise. The comparison is performed
* according to the IEEE Standard for Floating-Point Arithmetic.
*/
bool
__flt64(uint64_t a, uint64_t b)
{
if (__is_nan(a) || __is_nan(b))
return false;
return __flt64_nonnan(a, b);
}
/* Returns true if the double-precision floating-point value `a' is greater
* than or equal to * the corresponding value `b', and false otherwise. The
* comparison is performed * according to the IEEE Standard for Floating-Point
* Arithmetic.
*/
bool
__fge64(uint64_t a, uint64_t b)
{
if (__is_nan(a) || __is_nan(b))
return false;
return !__flt64_nonnan(a, b);
}
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