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a877d4458c
* Edit matrix identity fn and add quaternion to matrix fn * Change matrix identity macros to constants --------- Co-authored-by: Tonis <tanton@paysure.solutions>
950 lines
36 KiB
C
950 lines
36 KiB
C
// Copyright (c) 2021 Christoffer Lerno. All rights reserved.
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// Use of this source code is governed by the MIT license
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// a copy of which can be found in the LICENSE_STDLIB file.
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module std::math;
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import std::math::complex;
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import std::math::matrix;
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import std::math::quaternion;
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// TODO Define these using quad precision.
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const E = 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466;
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const LOG2E = 1.44269504088896340735992468100189214; // log2(e)
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const LOG10E = 0.434294481903251827651128918916605082; // log10(e)
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const LN2 = 0.693147180559945309417232121458176568; // ln(2)
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const LN10 = 2.30258509299404568401799145468436421; // ln(10)
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const PI = 3.14159265358979323846264338327950288419716939937510; // pi
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const PI_2 = 1.57079632679489661923132169163975144; // pi / 2
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const PI_4 = 0.785398163397448309615660845819875721; // pi / 4
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const DIV_PI = 0.318309886183790671537767526745028724; // 1 / pi
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const DIV_2_PI = 0.636619772367581343075535053490057448; // 2 / pi
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const DIV_2_SQRTPI = 1.12837916709551257389615890312154517; // 2/sqrt(pi)
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const SQRT2 = 1.41421356237309504880168872420969808; // sqrt(2)
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const double DIV_1_SQRT2 = 0.707106781186547524400844362104849039; // 1 / sqrt(2)
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const HALF_MAX = 6.5504e+4;
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const HALF_MIN = 6.103515625e-5;
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const HALF_DENORM_MIN = 5.9604644775390625e-8;
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const HALF_DIG = 3;
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const HALF_DEC_DIGITS = 5;
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const HALF_MANT_DIG = 11;
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const HALF_MAX_10_EXP = 4;
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const HALF_MIN_10_EXP = -4;
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const HALF_MAX_EXP = 16;
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const HALF_MIN_EXP = -13;
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const HALF_EPSILON = 9.765625e-4;
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const FLOAT_MAX = 0x1.fffffep+127;
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const FLOAT_MIN = 1.17549435e-38;
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const FLOAT_DENORM_MIN = 1.40129846432481707092e-45;
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const FLOAT_DIG = 6;
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const FLOAT_DEC_DIGITS = 9;
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const FLOAT_MANT_DIG = 24;
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const FLOAT_MAX_10_EXP = 38;
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const FLOAT_MIN_10_EXP = -37;
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const FLOAT_MAX_EXP = 128;
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const FLOAT_MIN_EXP = -125;
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const FLOAT_EPSILON = 1.1920928955078125e-07;
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const DOUBLE_MAX = 1.79769313486231570815e+308;
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const DOUBLE_MIN = 2.2250738585072014e-308;
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const DOUBLE_DENORM_MIN = 4.94065645841246544177e-324;
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const DOUBLE_DIG = 15;
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const DOUBLE_DEC_DIGITS = 17;
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const DOUBLE_MANT_DIG = 53;
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const DOUBLE_MAX_10_EXP = 308;
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const DOUBLE_MIN_10_EXP = -307;
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const DOUBLE_MAX_EXP = 1024;
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const DOUBLE_MIN_EXP = -1021;
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const DOUBLE_EPSILON = 2.22044604925031308085e-16;
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const QUAD_MANT_DIG = 113;
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/*
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const QUAD_MAX = 1.18973149535723176508575932662800702e+4932;
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const QUAD_MIN = 3.36210314311209350626267781732175260e-4932;
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const QUAD_DENORM_MIN = 6.47517511943802511092443895822764655e-4966;
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const QUAD_DIG = 33;
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const QUAD_DEC_DIGITS = 36;
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const QUAD_MAX_10_EXP = 4932;
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const QUAD_MIN_10_EXP = -4931;
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const QUAD_MAX_EXP = 16384;
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const QUAD_MIN_EXP = -16481;
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const QUAD_EPSILON = 1.92592994438723585305597794258492732e-34;
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*/
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enum RoundingMode : int
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{
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TOWARD_ZERO,
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TO_NEAREST,
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TOWARD_INFINITY,
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TOWARD_NEG_INFINITY
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}
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fault MatrixError
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{
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MATRIX_INVERSE_DOESNT_EXIST,
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}
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typedef Complexf = Complex<float>;
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typedef Complex = Complex<double>;
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define complexf_identity = complex::identity<float>;
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define complex_identity = complex::identity<double>;
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typedef Quaternionf = Quaternion<float>;
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typedef Quaternion = Quaternion<double>;
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define quaternionf_identity = quaternion::identity<float>;
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define quaternion_identity = quaternion::identity<double>;
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typedef Matrix2f = Matrix2x2<float>;
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typedef Matrix2 = Matrix2x2<double>;
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typedef Matrix3f = Matrix3x3<float>;
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typedef Matrix3 = Matrix3x3<double>;
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typedef Matrix4f = Matrix4x4<float>;
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typedef Matrix4 = Matrix4x4<double>;
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define matrix4_ortho = matrix::ortho<double>;
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define matrix4_perspective = matrix::perspective<double>;
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define matrix4f_ortho = matrix::ortho<float>;
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define matrix4f_perspective = matrix::perspective<float>;
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define MATRIX2_IDENTITY = matrix::IDENTITY2<double>;
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define MATRIX2F_IDENTITY = matrix::IDENTITY2<float>;
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define MATRIX3_IDENTITY = matrix::IDENTITY3<double>;
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define MATRIX3F_IDENTITY = matrix::IDENTITY3<float>;
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define MATRIX4_IDENTITY = matrix::IDENTITY4<double>;
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define MATRIX4F_IDENTITY = matrix::IDENTITY4<float>;
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/**
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* @require types::is_numerical($typeof(x)) `The input must be a numerical value or numerical vector`
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**/
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macro abs(x) => $$abs(x);
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/**
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* @require values::@is_int(x) `The input must be an integer`
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**/
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macro sign(x)
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{
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var $Type = $typeof(x);
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$if $Type.kindof == TypeKind.UNSIGNED_INT:
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return ($Type)(x > 0);
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$else
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return ($Type)(x > 0) - ($Type)(x < 0);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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* @checked x + y
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**/
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macro atan2(x, y)
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{
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$if @typeis(x, float) && @typeis(y, float):
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return _atan2f(x, y);
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$else
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return _atan2(x, y);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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* @checked (*y)[0] = x, y.len
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* @require y.len == 2
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**/
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macro sincos(x, y)
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{
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$if $typeof(y[0]).typeid == float.typeid:
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return _sincosf(x, y);
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$else
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return _sincos(x, y);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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* @checked x
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**/
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macro atan(x)
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{
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$if $typeof(x).typeid == float.typeid:
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return _atanf(x);
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$else
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return _atan(x);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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**/
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macro atanh(x)
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{
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$if $typeof(x).typeid == float.typeid:
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return _atanhf(x);
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$else
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return _atanh(x);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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**/
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macro acos(x)
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{
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$if $typeof(x).typeid == float.typeid:
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return _acosf(x);
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$else
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return _acos(x);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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**/
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macro acosh(x)
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{
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$if $typeof(x).typeid == float.typeid:
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return _acoshf(x);
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$else
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return _acosh(x);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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**/
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macro asin(x)
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{
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$if $typeof(x).typeid == float.typeid:
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return _asinf(x);
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$else
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return _asin(x);
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$endif
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}
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/**
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* @require values::@is_int(x) || values::@is_float(x) "Expected an integer or floating point value"
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**/
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macro asinh(x)
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{
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$if $typeof(x).typeid == float.typeid:
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return _asinhf(x);
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$else
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return _asinh(x);
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$endif
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}
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/**
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* @require values::@is_floatlike(x) `The input must be a floating point value or float vector`
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**/
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macro ceil(x) => $$ceil(x);
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/**
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* Constrain the value to lie within the given interval.
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*
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* @param x "the value to clamp, may be a number or a numerical vector."
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* @param lower "the lower bounds"
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* @param upper "the upper bounds"
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* @return "lower if x < lower, upper if x > upper, otherwise return x."
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*
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* @require types::is_numerical($typeof(x)) `The input must be a numerical value or numerical vector`
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* @checked $typeof(x) z = lower `The lower bound must be convertable to the value type.`
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* @checked $typeof(x) z = upper `The upper bound must be convertable to the value type.`
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**/
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macro clamp(x, lower, upper) => $$max(($typeof(x))lower, $$min(x, ($typeof(x))upper));
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/**
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* @require values::@is_promotable_to_floatlike(mag) `The input must be a number value or float vector`
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* @require @convertable(sgn, $typeof(values::promote_int(mag)))
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**/
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macro copysign(mag, sgn) => $$copysign(values::promote_int(mag), ($typeof(values::promote_int(mag)))sgn);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro cos(x) => $$cos(x);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro cosec(x) => 1 / sin(x);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro cosech(x) => 2 / (exp(x) - exp(-x));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro cosh(x) => (exp(x) + exp(-x)) / 2.0;
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro cotan(x) => cos(x) / sin(x);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro cotanh(x) => (exp(2.0 * x) + 1.0) / (exp(2.0 * x) - 1.0);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro exp(x) => $$exp(values::promote_int(x));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro exp2(x) => $$exp2(values::promote_int(x));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number value or float vector`
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**/
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macro floor(x) => $$floor(values::promote_int(x));
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/**
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* @require values::@is_promotable_to_floatlike(a) `The input must be a number or float vector`
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* @require values::@is_promotable_to_floatlike(b) `The input must be a number or float vector`
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* @require values::@is_promotable_to_floatlike(c) `The input must be a number or float vector`
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* @require types::@is_same_vector_type(a, b) `The input types must be equal`
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* @require types::@is_same_vector_type(a, c) `The input types must match`
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**/
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macro fma(a, b, c) => $$fma(a, b, c);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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* @require values::@is_promotable_to_floatlike(y) `The input must be a number or a float vector`
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* @require types::@is_same_vector_type(x, y) `The input types must match`
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**/
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macro hypot(x, y) => sqrt(sqr(x) + sqr(y));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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**/
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macro log(x) => $$log(values::promote_int(x));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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**/
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macro log2(x) => $$log2(values::promote_int(x));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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**/
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macro log10(x) => $$log10(values::promote_int(x));
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/**
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* @require types::is_numerical($typeof(x)) `The input must be a floating point value or float vector`
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* @require types::is_same($typeof(x), $typeof(y)) `The input types must be equal`
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**/
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macro max(x, y, ...)
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{
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$if $vacount == 0:
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return $$max(x, y);
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$else
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var m = $$max(x, y);
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$for (var $i = 0; $i < $vacount; $i++)
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m = $$max(m, $vaarg($i));
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$endfor
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return m;
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$endif
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}
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/**
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* @require types::is_numerical($typeof(x)) `The input must be a numerical value or numerical vector`
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* @require types::is_same($typeof(x), $typeof(y)) `The input types must be equal`
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**/
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macro min(x, y, ...)
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{
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$if $vacount == 0:
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return $$min(x, y);
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$else
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var m = $$min(x, y);
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$for (var $i = 0; $i < $vacount; $i++)
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m = $$min(m, $vaarg($i));
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$endfor
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return m;
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$endif
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}
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/**
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* @require types::@is_float(a) `The input must be a floating point value`
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* @require types::@has_same(a, b, c) `The input types must be equal`
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**/
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macro muladd(a, b, c) => $$fmuladd(a, b, c);
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/**
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* @require values::@is_floatlike(x) `The input must be a floating point value or float vector`
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**/
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macro nearbyint(x) => $$nearbyint(x);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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* @require values::@convertable_to(exp, x) || values::@is_int(exp) `The input must be an integer, castable to the type of x`
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**/
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macro pow(x, exp)
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{
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$if types::is_floatlike($typeof(exp)):
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return $$pow(x, ($typeof(x))exp);
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$else
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return $$pow_int(x, exp);
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$endif
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}
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/**
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* @require values::@is_promotable_to_float(x) : `The input must be integer or floating type`
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**/
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macro frexp(x, int* e)
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{
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$switch ($typeof(x))
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$case float:
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$case float16:
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return _frexpf((float)x, e);
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$default:
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return _frexp((double)x, e);
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$endswitch
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}
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/**
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* @require values::@is_promotable_to_float(x) : `The input must be integer or floating type`
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**/
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macro int signbit(x)
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{
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$switch ($typeof(x))
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$case float:
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$case float16:
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return bitcast((float)x, uint) >> 31;
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$default:
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return (int)(bitcast((double)x, ulong) >> 63);
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$endswitch
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}
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/**
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* @require values::@is_floatlike(x) `The input must be a number or a float vector`
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**/
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macro rint(x) => $$rint(x);
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/**
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* @require values::@is_floatlike(x) `The input must be a floating point value or float vector`
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**/
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macro round(x) => $$round(x);
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/**
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* @require values::@is_floatlike(x) `The input must be a floating point value or float vector`
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**/
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macro roundeven(x) => $$roundeven(x);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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**/
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macro sec(x) => 1 / cos(x);
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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**/
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macro sech(x) => 2 / (exp(x) + exp(-x));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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**/
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macro sin(x) => $$sin(values::promote_int(x));
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/**
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* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
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**/
|
|
macro sinh(x) => (exp(x) - exp(-x)) / 2.0;
|
|
|
|
/**
|
|
* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
|
|
**/
|
|
macro sqr(x) => values::promote_int(x) * values::promote_int(x);
|
|
|
|
/**
|
|
* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
|
|
**/
|
|
macro sqrt(x) => $$sqrt(values::promote_int(x));
|
|
|
|
/**
|
|
* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
|
|
**/
|
|
macro tan(x)
|
|
{
|
|
var $Type = $typeof(x);
|
|
$switch
|
|
$case types::is_vector($Type):
|
|
return $$sin(x) / $$cos(x);
|
|
$case $Type.typeid == float.typeid:
|
|
return _tanf(x);
|
|
$default:
|
|
return _tan(x);
|
|
$endswitch
|
|
}
|
|
|
|
/**
|
|
* @require values::@is_promotable_to_float(x) `The input must be a float`
|
|
**/
|
|
macro bool is_finite(x)
|
|
{
|
|
$switch ($typeof(x))
|
|
$case float:
|
|
$case float16:
|
|
return bitcast((float)x, uint) & 0x7fffffff < 0x7f800000;
|
|
$default:
|
|
return bitcast((double)x, ulong) & (~0u64 >> 1) < 0x7ffu64 << 52;
|
|
$endswitch
|
|
}
|
|
|
|
/**
|
|
* @require values::@is_promotable_to_float(x) `The input must be a float`
|
|
**/
|
|
macro is_nan(x)
|
|
{
|
|
$switch ($typeof(x))
|
|
$case float:
|
|
$case float16:
|
|
return bitcast((float)x, uint) & 0x7fffffff > 0x7f800000;
|
|
$default:
|
|
return bitcast((double)x, ulong) & (~0u64 >> 1) > 0x7ffu64 << 52;
|
|
$endswitch
|
|
}
|
|
|
|
/**
|
|
* @require values::@is_promotable_to_float(x) `The input must be a float`
|
|
**/
|
|
macro is_inf(x)
|
|
{
|
|
$switch ($typeof(x))
|
|
$case float:
|
|
$case float16:
|
|
return bitcast((float)x, uint) & 0x7fffffff == 0x7f800000;
|
|
$default:
|
|
return bitcast((double)x, ulong) & (~0u64 >> 1) == 0x7ffu64 << 52;
|
|
$endswitch
|
|
}
|
|
|
|
/**
|
|
* @require values::@is_promotable_to_floatlike(x) `The input must be a number or a float vector`
|
|
**/
|
|
macro tanh(x) => (exp(2.0 * x) - 1.0) / (exp(2.0 * x) + 1.0);
|
|
|
|
/**
|
|
* @require values::@is_floatlike(x) `The input must be a floating point value or float vector`
|
|
**/
|
|
macro trunc(x) => $$trunc(x);
|
|
|
|
macro lerp(x, y, amount) @private => x + (y - x) * amount;
|
|
macro reflect(x, y) @private
|
|
{
|
|
var dot = x.dot(y);
|
|
return x - 2 * y * dot;
|
|
}
|
|
macro normalize(x) @private
|
|
{
|
|
var len = x.length();
|
|
if (len == 0) return x;
|
|
return x * (1 / len);
|
|
}
|
|
|
|
macro float float.ceil(float x) => $$ceil(x);
|
|
macro float float.clamp(float x, float lower, float upper) => $$max(lower, $$min(x, upper));
|
|
macro float float.copysign(float mag, float sgn) => $$copysign(mag, sgn);
|
|
macro float float.floor(float x) => $$floor(x);
|
|
macro float float.fma(float a, float b, float c) => $$fma(a, b, c);
|
|
macro float float.muladd(float a, float b, float c) => $$fmuladd(a, b, c);
|
|
macro float float.nearbyint(float x) => $$nearbyint(x);
|
|
macro float float.pow(float x, exp) => pow(x, exp);
|
|
macro float float.rint(float x) => $$rint(x);
|
|
macro float float.round(float x) => $$round(x);
|
|
macro float float.roundeven(float x) => $$roundeven(x);
|
|
macro float float.trunc(float x) => $$trunc(x);
|
|
|
|
macro float float[<*>].sum(float[<*>] x, float start = 0.0) => $$reduce_fadd(x, start);
|
|
macro float float[<*>].product(float[<*>] x, float start = 1.0) => $$reduce_fmul(x, start);
|
|
macro float float[<*>].max(float[<*>] x) => $$reduce_max(x);
|
|
macro float float[<*>].min(float[<*>] x) => $$reduce_min(x);
|
|
macro float[<*>] float[<*>].ceil(float[<*>] x) => $$ceil(x);
|
|
macro float[<*>] float[<*>].clamp(float[<*>] x, float[<*>] lower, float[<*>] upper) => $$max(lower, $$min(x, upper));
|
|
macro float[<*>] float[<*>].copysign(float[<*>] mag, float[<*>] sgn) => $$copysign(mag, sgn);
|
|
macro float[<*>] float[<*>].fma(float[<*>] a, float[<*>] b, float[<*>] c) => $$fma(a, b, c);
|
|
macro float[<*>] float[<*>].floor(float[<*>] x) => $$floor(x);
|
|
macro float[<*>] float[<*>].nearbyint(float[<*>] x) => $$nearbyint(x);
|
|
macro float[<*>] float[<*>].pow(float[<*>] x, exp) => pow(x, exp);
|
|
macro float[<*>] float[<*>].rint(float[<*>] x) => $$rint(x);
|
|
macro float[<*>] float[<*>].round(float[<*>] x) => $$round(x);
|
|
macro float[<*>] float[<*>].roundeven(float[<*>] x) => $$roundeven(x);
|
|
macro float[<*>] float[<*>].trunc(float[<*>] x) => $$trunc(x);
|
|
macro float float[<*>].dot(float[<*>] x, float[<*>] y) => (x * y).sum();
|
|
macro float float[<*>].length(float[<*>] x) => $$sqrt(x.dot(x));
|
|
macro float float[<*>].distance(float[<*>] x, float[<*>] y) => (x - y).length();
|
|
macro float[<*>] float[<*>].normalize(float[<*>] x) => normalize(x);
|
|
macro float[<*>] float[<*>].lerp(float[<*>] x, float[<*>] y, float amount) => lerp(x, y, amount);
|
|
macro float[<*>] float[<*>].reflect(float[<*>] x, float[<*>] y) => reflect(x, y);
|
|
macro bool float[<*>].equals(float[<*>] x, float[<*>] y) => equals_vec(x, y);
|
|
|
|
macro bool[<*>] float[<*>].comp_lt(float[<*>] x, float[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] float[<*>].comp_le(float[<*>] x, float[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] float[<*>].comp_eq(float[<*>] x, float[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] float[<*>].comp_gt(float[<*>] x, float[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] float[<*>].comp_ge(float[<*>] x, float[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] float[<*>].comp_ne(float[<*>] x, float[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro double double.ceil(double x) => $$ceil(x);
|
|
macro double double.clamp(double x, double lower, double upper) => $$max(lower, $$min(x, upper));
|
|
macro double double.copysign(double mag, double sgn) => $$copysign(mag, sgn);
|
|
macro double double.floor(double x) => $$floor(x);
|
|
macro double double.fma(double a, double b, double c) => $$fma(a, b, c);
|
|
macro double double.muladd(double a, double b, double c) => $$fmuladd(a, b, c);
|
|
macro double double.nearbyint(double x) => $$nearbyint(x);
|
|
macro double double.pow(double x, exp) => pow(x, exp);
|
|
macro double double.rint(double x) => $$rint(x);
|
|
macro double double.round(double x) => $$round(x);
|
|
macro double double.roundeven(double x) => $$roundeven(x);
|
|
macro double double.trunc(double x) => $$trunc(x);
|
|
|
|
macro double double[<*>].sum(double[<*>] x, double start = 0.0) => $$reduce_fadd(x, start);
|
|
macro double double[<*>].product(double[<*>] x, double start = 1.0) => $$reduce_fmul(x, start);
|
|
macro double double[<*>].max(double[<*>] x) => $$reduce_fmax(x);
|
|
macro double double[<*>].min(double[<*>] x) => $$reduce_fmin(x);
|
|
macro double[<*>] double[<*>].ceil(double[<*>] x) => $$ceil(x);
|
|
macro double[<*>] double[<*>].clamp(double[<*>] x, double[<*>] lower, double[<*>] upper) => $$max(lower, $$min(x, upper));
|
|
macro double[<*>] double[<*>].copysign(double[<*>] mag, double[<*>] sgn) => $$copysign(mag, sgn);
|
|
macro double[<*>] double[<*>].floor(double[<*>] x) => $$floor(x);
|
|
macro double[<*>] double[<*>].fma(double[<*>] a, double[<*>] b, double[<*>] c) => $$fma(a, b, c);
|
|
macro double[<*>] double[<*>].nearbyint(double[<*>] x) => $$nearbyint(x);
|
|
macro double[<*>] double[<*>].pow(double[<*>] x, exp) => pow(x, exp);
|
|
macro double[<*>] double[<*>].rint(double[<*>] x) => $$rint(x);
|
|
macro double[<*>] double[<*>].round(double[<*>] x) => $$round(x);
|
|
macro double[<*>] double[<*>].roundeven(double[<*>] x) => $$roundeven(x);
|
|
macro double[<*>] double[<*>].trunc(double[<*>] x) => $$trunc(x);
|
|
macro double double[<*>].dot(double[<*>] x, double[<*>] y) => (x * y).sum();
|
|
macro double double[<*>].length(double[<*>] x) => $$sqrt(x.dot(x));
|
|
macro double double[<*>].distance(double[<*>] x, double[<*>] y) => (x - y).length();
|
|
macro double[<*>] double[<*>].normalize(double[<*>] x) => normalize(x);
|
|
macro double[<*>] double[<*>].reflect(double[<*>] x, double[<*>] y) => reflect(x, y);
|
|
macro double[<*>] double[<*>].lerp(double[<*>] x, double[<*>] y, double amount) => lerp(x, y, amount);
|
|
macro bool double[<*>].equals(double[<*>] x, double[<*>] y) => equals_vec(x, y);
|
|
|
|
macro bool[<*>] double[<*>].comp_lt(double[<*>] x, double[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] double[<*>].comp_le(double[<*>] x, double[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] double[<*>].comp_eq(double[<*>] x, double[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] double[<*>].comp_gt(double[<*>] x, double[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] double[<*>].comp_ge(double[<*>] x, double[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] double[<*>].comp_ne(double[<*>] x, double[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro bool[<*>] ichar[<*>].comp_lt(ichar[<*>] x, ichar[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] ichar[<*>].comp_le(ichar[<*>] x, ichar[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] ichar[<*>].comp_eq(ichar[<*>] x, ichar[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] ichar[<*>].comp_gt(ichar[<*>] x, ichar[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] ichar[<*>].comp_ge(ichar[<*>] x, ichar[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] ichar[<*>].comp_ne(ichar[<*>] x, ichar[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro ichar ichar[<*>].sum(ichar[<*>] x) => $$reduce_add(x);
|
|
macro ichar ichar[<*>].product(ichar[<*>] x) => $$reduce_mul(x);
|
|
macro ichar ichar[<*>].and(ichar[<*>] x) => $$reduce_and(x);
|
|
macro ichar ichar[<*>].or(ichar[<*>] x) => $$reduce_or(x);
|
|
macro ichar ichar[<*>].xor(ichar[<*>] x) => $$reduce_xor(x);
|
|
macro ichar ichar[<*>].max(ichar[<*>] x) => $$reduce_max(x);
|
|
macro ichar ichar[<*>].min(ichar[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] short[<*>].comp_lt(short[<*>] x, short[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] short[<*>].comp_le(short[<*>] x, short[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] short[<*>].comp_eq(short[<*>] x, short[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] short[<*>].comp_gt(short[<*>] x, short[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] short[<*>].comp_ge(short[<*>] x, short[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] short[<*>].comp_ne(short[<*>] x, short[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro short short[<*>].sum(short[<*>] x) => $$reduce_add(x);
|
|
macro short short[<*>].product(short[<*>] x) => $$reduce_mul(x);
|
|
macro short short[<*>].and(short[<*>] x) => $$reduce_and(x);
|
|
macro short short[<*>].or(short[<*>] x) => $$reduce_or(x);
|
|
macro short short[<*>].xor(short[<*>] x) => $$reduce_xor(x);
|
|
macro short short[<*>].max(short[<*>] x) => $$reduce_max(x);
|
|
macro short short[<*>].min(short[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] int[<*>].comp_lt(int[<*>] x, int[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] int[<*>].comp_le(int[<*>] x, int[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] int[<*>].comp_eq(int[<*>] x, int[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] int[<*>].comp_gt(int[<*>] x, int[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] int[<*>].comp_ge(int[<*>] x, int[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] int[<*>].comp_ne(int[<*>] x, int[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro int int[<*>].sum(int[<*>] x) => $$reduce_add(x);
|
|
macro int int[<*>].product(int[<*>] x) => $$reduce_mul(x);
|
|
macro int int[<*>].and(int[<*>] x) => $$reduce_and(x);
|
|
macro int int[<*>].or(int[<*>] x) => $$reduce_or(x);
|
|
macro int int[<*>].xor(int[<*>] x) => $$reduce_xor(x);
|
|
macro int int[<*>].max(int[<*>] x) => $$reduce_max(x);
|
|
macro int int[<*>].min(int[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] long[<*>].comp_lt(long[<*>] x, long[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] long[<*>].comp_le(long[<*>] x, long[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] long[<*>].comp_eq(long[<*>] x, long[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] long[<*>].comp_gt(long[<*>] x, long[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] long[<*>].comp_ge(long[<*>] x, long[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] long[<*>].comp_ne(long[<*>] x, long[<*>] y) => $$veccompne(x, y);
|
|
macro long long[<*>].sum(long[<*>] x) => $$reduce_add(x);
|
|
macro long long[<*>].product(long[<*>] x) => $$reduce_mul(x);
|
|
macro long long[<*>].and(long[<*>] x) => $$reduce_and(x);
|
|
macro long long[<*>].or(long[<*>] x) => $$reduce_or(x);
|
|
macro long long[<*>].xor(long[<*>] x) => $$reduce_xor(x);
|
|
macro long long[<*>].max(long[<*>] x) => $$reduce_max(x);
|
|
macro long long[<*>].min(long[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] int128[<*>].comp_lt(int128[<*>] x, int128[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] int128[<*>].comp_le(int128[<*>] x, int128[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] int128[<*>].comp_eq(int128[<*>] x, int128[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] int128[<*>].comp_gt(int128[<*>] x, int128[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] int128[<*>].comp_ge(int128[<*>] x, int128[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] int128[<*>].comp_ne(int128[<*>] x, int128[<*>] y) => $$veccompne(x, y);
|
|
macro int128 int128[<*>].sum(int128[<*>] x) => $$reduce_add(x);
|
|
macro int128 int128[<*>].product(int128[<*>] x) => $$reduce_mul(x);
|
|
macro int128 int128[<*>].and(int128[<*>] x) => $$reduce_and(x);
|
|
macro int128 int128[<*>].or(int128[<*>] x) => $$reduce_or(x);
|
|
macro int128 int128[<*>].xor(int128[<*>] x) => $$reduce_xor(x);
|
|
macro int128 int128[<*>].max(int128[<*>] x) => $$reduce_max(x);
|
|
macro int128 int128[<*>].min(int128[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] bool[<*>].comp_lt(bool[<*>] x, bool[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] bool[<*>].comp_le(bool[<*>] x, bool[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] bool[<*>].comp_eq(bool[<*>] x, bool[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] bool[<*>].comp_gt(bool[<*>] x, bool[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] bool[<*>].comp_ge(bool[<*>] x, bool[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] bool[<*>].comp_ne(bool[<*>] x, bool[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro bool bool[<*>].sum(bool[<*>] x) => $$reduce_add(x);
|
|
macro bool bool[<*>].product(bool[<*>] x) => $$reduce_mul(x);
|
|
macro bool bool[<*>].and(bool[<*>] x) => $$reduce_and(x);
|
|
macro bool bool[<*>].or(bool[<*>] x) => $$reduce_or(x);
|
|
macro bool bool[<*>].xor(bool[<*>] x) => $$reduce_xor(x);
|
|
macro bool bool[<*>].max(bool[<*>] x) => $$reduce_max(x);
|
|
macro bool bool[<*>].min(bool[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] char[<*>].comp_lt(char[<*>] x, char[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] char[<*>].comp_le(char[<*>] x, char[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] char[<*>].comp_eq(char[<*>] x, char[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] char[<*>].comp_gt(char[<*>] x, char[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] char[<*>].comp_ge(char[<*>] x, char[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] char[<*>].comp_ne(char[<*>] x, char[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro char char[<*>].sum(char[<*>] x) => $$reduce_add(x);
|
|
macro char char[<*>].product(char[<*>] x) => $$reduce_mul(x);
|
|
macro char char[<*>].and(char[<*>] x) => $$reduce_and(x);
|
|
macro char char[<*>].or(char[<*>] x) => $$reduce_or(x);
|
|
macro char char[<*>].xor(char[<*>] x) => $$reduce_xor(x);
|
|
macro char char[<*>].max(char[<*>] x) => $$reduce_max(x);
|
|
macro char char[<*>].min(char[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] ushort[<*>].comp_lt(ushort[<*>] x, ushort[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] ushort[<*>].comp_le(ushort[<*>] x, ushort[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] ushort[<*>].comp_eq(ushort[<*>] x, ushort[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] ushort[<*>].comp_gt(ushort[<*>] x, ushort[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] ushort[<*>].comp_ge(ushort[<*>] x, ushort[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] ushort[<*>].comp_ne(ushort[<*>] x, ushort[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro ushort ushort[<*>].sum(ushort[<*>] x) => $$reduce_add(x);
|
|
macro ushort ushort[<*>].product(ushort[<*>] x) => $$reduce_mul(x);
|
|
macro ushort ushort[<*>].and(ushort[<*>] x) => $$reduce_and(x);
|
|
macro ushort ushort[<*>].or(ushort[<*>] x) => $$reduce_or(x);
|
|
macro ushort ushort[<*>].xor(ushort[<*>] x) => $$reduce_xor(x);
|
|
macro ushort ushort[<*>].max(ushort[<*>] x) => $$reduce_max(x);
|
|
macro ushort ushort[<*>].min(ushort[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] uint[<*>].comp_lt(uint[<*>] x, uint[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] uint[<*>].comp_le(uint[<*>] x, uint[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] uint[<*>].comp_eq(uint[<*>] x, uint[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] uint[<*>].comp_gt(uint[<*>] x, uint[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] uint[<*>].comp_ge(uint[<*>] x, uint[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] uint[<*>].comp_ne(uint[<*>] x, uint[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro uint uint[<*>].sum(uint[<*>] x) => $$reduce_add(x);
|
|
macro uint uint[<*>].product(uint[<*>] x) => $$reduce_mul(x);
|
|
macro uint uint[<*>].and(uint[<*>] x) => $$reduce_and(x);
|
|
macro uint uint[<*>].or(uint[<*>] x) => $$reduce_or(x);
|
|
macro uint uint[<*>].xor(uint[<*>] x) => $$reduce_xor(x);
|
|
macro uint uint[<*>].max(uint[<*>] x) => $$reduce_max(x);
|
|
macro uint uint[<*>].min(uint[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] ulong[<*>].comp_lt(ulong[<*>] x, ulong[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] ulong[<*>].comp_le(ulong[<*>] x, ulong[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] ulong[<*>].comp_eq(ulong[<*>] x, ulong[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] ulong[<*>].comp_gt(ulong[<*>] x, ulong[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] ulong[<*>].comp_ge(ulong[<*>] x, ulong[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] ulong[<*>].comp_ne(ulong[<*>] x, ulong[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro ulong ulong[<*>].sum(ulong[<*>] x) => $$reduce_add(x);
|
|
macro ulong ulong[<*>].product(ulong[<*>] x) => $$reduce_mul(x);
|
|
macro ulong ulong[<*>].and(ulong[<*>] x) => $$reduce_and(x);
|
|
macro ulong ulong[<*>].or(ulong[<*>] x) => $$reduce_or(x);
|
|
macro ulong ulong[<*>].xor(ulong[<*>] x) => $$reduce_xor(x);
|
|
macro ulong ulong[<*>].max(ulong[<*>] x) => $$reduce_max(x);
|
|
macro ulong ulong[<*>].min(ulong[<*>] x) => $$reduce_min(x);
|
|
|
|
macro bool[<*>] uint128[<*>].comp_lt(uint128[<*>] x, uint128[<*>] y) => $$veccomplt(x, y);
|
|
macro bool[<*>] uint128[<*>].comp_le(uint128[<*>] x, uint128[<*>] y) => $$veccomple(x, y);
|
|
macro bool[<*>] uint128[<*>].comp_eq(uint128[<*>] x, uint128[<*>] y) => $$veccompeq(x, y);
|
|
macro bool[<*>] uint128[<*>].comp_gt(uint128[<*>] x, uint128[<*>] y) => $$veccompgt(x, y);
|
|
macro bool[<*>] uint128[<*>].comp_ge(uint128[<*>] x, uint128[<*>] y) => $$veccompge(x, y);
|
|
macro bool[<*>] uint128[<*>].comp_ne(uint128[<*>] x, uint128[<*>] y) => $$veccompne(x, y);
|
|
|
|
macro uint128 uint128[<*>].sum(uint128[<*>] x) => $$reduce_add(x);
|
|
macro uint128 uint128[<*>].product(uint128[<*>] x) => $$reduce_mul(x);
|
|
macro uint128 uint128[<*>].and(uint128[<*>] x) => $$reduce_and(x);
|
|
macro uint128 uint128[<*>].or(uint128[<*>] x) => $$reduce_or(x);
|
|
macro uint128 uint128[<*>].xor(uint128[<*>] x) => $$reduce_xor(x);
|
|
macro uint128 uint128[<*>].max(uint128[<*>] x) => $$reduce_max(x);
|
|
macro uint128 uint128[<*>].min(uint128[<*>] x) => $$reduce_min(x);
|
|
|
|
macro char char.sat_add(char x, char y) => $$sat_add(x, y);
|
|
macro char char.sat_sub(char x, char y) => $$sat_sub(x, y);
|
|
macro char char.sat_mul(char x, char y) => $$sat_mul(x, y);
|
|
macro char char.sat_shl(char x, char y) => $$sat_shl(x, y);
|
|
|
|
macro ichar ichar.sat_add(ichar x, ichar y) => $$sat_add(x, y);
|
|
macro ichar ichar.sat_sub(ichar x, ichar y) => $$sat_sub(x, y);
|
|
macro ichar ichar.sat_mul(ichar x, ichar y) => $$sat_mul(x, y);
|
|
macro ichar ichar.sat_shl(ichar x, ichar y) => $$sat_shl(x, y);
|
|
|
|
macro ushort ushort.sat_add(ushort x, ushort y) => $$sat_add(x, y);
|
|
macro ushort ushort.sat_sub(ushort x, ushort y) => $$sat_sub(x, y);
|
|
macro ushort ushort.sat_mul(ushort x, ushort y) => $$sat_mul(x, y);
|
|
macro ushort ushort.sat_shl(ushort x, ushort y) => $$sat_shl(x, y);
|
|
|
|
macro short short.sat_add(short x, short y) => $$sat_add(x, y);
|
|
macro short short.sat_sub(short x, short y) => $$sat_sub(x, y);
|
|
macro short short.sat_mul(short x, short y) => $$sat_mul(x, y);
|
|
macro short short.sat_shl(short x, short y) => $$sat_shl(x, y);
|
|
|
|
macro uint uint.sat_add(uint x, uint y) => $$sat_add(x, y);
|
|
macro uint uint.sat_sub(uint x, uint y) => $$sat_sub(x, y);
|
|
macro uint uint.sat_mul(uint x, uint y) => $$sat_mul(x, y);
|
|
macro uint uint.sat_shl(uint x, uint y) => $$sat_shl(x, y);
|
|
|
|
macro int int.sat_add(int x, int y) => $$sat_add(x, y);
|
|
macro int int.sat_sub(int x, int y) => $$sat_sub(x, y);
|
|
macro int int.sat_mul(int x, int y) => $$sat_mul(x, y);
|
|
macro int int.sat_shl(int x, int y) => $$sat_shl(x, y);
|
|
|
|
macro ulong ulong.sat_add(ulong x, ulong y) => $$sat_add(x, y);
|
|
macro ulong ulong.sat_sub(ulong x, ulong y) => $$sat_sub(x, y);
|
|
macro ulong ulong.sat_mul(ulong x, ulong y) => $$sat_mul(x, y);
|
|
macro ulong ulong.sat_shl(ulong x, ulong y) => $$sat_shl(x, y);
|
|
|
|
macro long long.sat_add(long x, long y) => $$sat_add(x, y);
|
|
macro long long.sat_sub(long x, long y) => $$sat_sub(x, y);
|
|
macro long long.sat_mul(long x, long y) => $$sat_mul(x, y);
|
|
macro long long.sat_shl(long x, long y) => $$sat_shl(x, y);
|
|
|
|
macro uint128 uint128.sat_add(uint128 x, uint128 y) => $$sat_add(x, y);
|
|
macro uint128 uint128.sat_sub(uint128 x, uint128 y) => $$sat_sub(x, y);
|
|
macro uint128 uint128.sat_mul(uint128 x, uint128 y) => $$sat_mul(x, y);
|
|
macro uint128 uint128.sat_shl(uint128 x, uint128 y) => $$sat_shl(x, y);
|
|
|
|
macro int128 int128.sat_add(int128 x, int128 y) => $$sat_add(x, y);
|
|
macro int128 int128.sat_sub(int128 x, int128 y) => $$sat_sub(x, y);
|
|
macro int128 int128.sat_mul(int128 x, int128 y) => $$sat_mul(x, y);
|
|
macro int128 int128.sat_shl(int128 x, int128 y) => $$sat_shl(x, y);
|
|
|
|
/**
|
|
* @checked x & 1
|
|
*/
|
|
macro bool is_power_of_2(x)
|
|
{
|
|
return x != 0 && (x & (x - 1)) == 0;
|
|
}
|
|
|
|
macro next_power_of_2(x)
|
|
{
|
|
$typeof(x) y = 1;
|
|
while (y < x) y += y;
|
|
return y;
|
|
}
|
|
|
|
macro equals_vec(v1, v2) @private
|
|
{
|
|
var $elements = v1.len;
|
|
var abs_diff = math::abs(v1 - v2);
|
|
var abs_v1 = math::abs(v1);
|
|
var abs_v2 = math::abs(v2);
|
|
$typeof(abs_v2) eps = 1;
|
|
return abs_diff.comp_le(FLOAT_EPSILON * math::max(abs_v1, abs_v2, eps)).and();
|
|
}
|
|
|
|
macro uint double.high_word(double d) => (uint)(bitcast(d, ulong) >> 32);
|
|
macro uint double.low_word(double d) => (uint)bitcast(d, ulong);
|
|
macro uint float.word(float d) => bitcast(d, uint);
|
|
|
|
|
|
macro double scalbn(double x, int n) => _scalbn(x, n);
|
|
|
|
extern fn double _atan(double x) @extern("atan");
|
|
extern fn float _atanf(float x) @extern("atanf");
|
|
extern fn double _atan2(double, double) @extern("atan2");
|
|
extern fn float _atan2f(float, float) @extern("atan2f");
|
|
extern fn void _sincos(double, double*) @extern("sincos");
|
|
extern fn void _sincosf(float, float*) @extern("sincosf");
|
|
extern fn double _tan(double x) @extern("tan");
|
|
extern fn float _tanf(float x) @extern("tanf");
|
|
extern fn double _scalbn(double x, int n) @extern("scalbn");
|
|
extern fn double _acos(double x) @extern("acos");
|
|
extern fn double _asin(double x) @extern("asin");
|
|
extern fn double _acosh(double x) @extern("acosh");
|
|
extern fn double _asinh(double x) @extern("asinh");
|
|
extern fn double _atanh(double x) @extern("atanh");
|
|
extern fn float _acosf(float x) @extern("acosf");
|
|
extern fn float _asinf(float x) @extern("asinf");
|
|
extern fn float _acoshf(float x) @extern("acoshf");
|
|
extern fn float _asinhf(float x) @extern("asinhf");
|
|
extern fn float _atanhf(float x) @extern("atanhf");
|
|
|
|
|
|
fn double _frexp(double x, int* e)
|
|
{
|
|
ulong i = bitcast(x, ulong);
|
|
int ee = (int)((i >> 52) & 0x7ff);
|
|
switch
|
|
{
|
|
case !ee:
|
|
if (!x)
|
|
{
|
|
*e = 0;
|
|
return x;
|
|
}
|
|
x = _frexp(x * 0x1p64, e);
|
|
*e -= 64;
|
|
return x;
|
|
case ee == 0x7ff:
|
|
return x;
|
|
default:
|
|
*e = ee - 0x3fe;
|
|
i &= 0x800fffffffffffffu64;
|
|
i |= 0x3fe0000000000000u64;
|
|
return bitcast(i, double);
|
|
}
|
|
}
|
|
|
|
fn float _frexpf(float x, int* e)
|
|
{
|
|
uint i = bitcast(x, uint);
|
|
int ee = (i >> 23) & 0xff;
|
|
|
|
switch
|
|
{
|
|
case !ee:
|
|
if (!x)
|
|
{
|
|
*e = 0;
|
|
return x;
|
|
}
|
|
x = _frexpf(x * 0x1p64, e);
|
|
*e -= 64;
|
|
return x;
|
|
case ee == 0xff:
|
|
return x;
|
|
default:
|
|
*e = ee - 0x7e;
|
|
i &= 0x807fffffu32;
|
|
i |= 0x3f000000u32;
|
|
return bitcast(i, float);
|
|
}
|
|
} |