90 lines
No EOL
2.8 KiB
C++
90 lines
No EOL
2.8 KiB
C++
/*
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Crafter.Math
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Copyright (C) 2025 Catcrafts
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Catcrafts.net
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This library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 3.0 of the License, or (at your option) any later version.
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This library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with this library; if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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module;
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#include <cstdint>
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#include <stdfloat>
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#include <numeric>
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export module Crafter.Math:Misc;
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export namespace Crafter {
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//-------------------------------------------------------------------------------------
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// DirectXMathMisc.inl -- SIMD C++ Math library
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//
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// Copyright (c) Microsoft Corporation.
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// Licensed under the MIT License.
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//
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// http://go.microsoft.com/fwlink/?LinkID=615560
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//-------------------------------------------------------------------------------------
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constexpr float XM_PI = 3.141592654f;
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constexpr float XM_2PI = 6.283185307f;
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constexpr float XM_1DIVPI = 0.318309886f;
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constexpr float XM_1DIV2PI = 0.159154943f;
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constexpr float XM_PIDIV2 = 1.570796327f;
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constexpr float XM_PIDIV4 = 0.785398163f;
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inline void XMScalarSinCos(float* pSin, float* pCos, float Value) noexcept
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{
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// Map Value to y in [-pi,pi], x = 2*pi*quotient + remainder.
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float quotient = XM_1DIV2PI * Value;
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if (Value >= 0.0f)
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{
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quotient = static_cast<float>(static_cast<int>(quotient + 0.5f));
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}
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else
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{
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quotient = static_cast<float>(static_cast<int>(quotient - 0.5f));
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}
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float y = Value - XM_2PI * quotient;
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// Map y to [-pi/2,pi/2] with sin(y) = sin(Value).
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float sign;
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if (y > XM_PIDIV2)
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{
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y = XM_PI - y;
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sign = -1.0f;
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}
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else if (y < -XM_PIDIV2)
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{
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y = -XM_PI - y;
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sign = -1.0f;
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}
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else
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{
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sign = +1.0f;
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}
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float y2 = y * y;
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// 11-degree minimax approximation
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*pSin = (((((-2.3889859e-08f * y2 + 2.7525562e-06f) * y2 - 0.00019840874f) * y2 + 0.0083333310f) * y2 - 0.16666667f) * y2 + 1.0f) * y;
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// 10-degree minimax approximation
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float p = ((((-2.6051615e-07f * y2 + 2.4760495e-05f) * y2 - 0.0013888378f) * y2 + 0.041666638f) * y2 - 0.5f) * y2 + 1.0f;
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*pCos = sign * p;
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}
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constexpr float ToRadian(float degrees) {
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return degrees * (std::numbers::pi / 180);
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}
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} |