yapb-noob-edition/ext/crlib/cr-math.h

135 lines
3.4 KiB
C++

//
// YaPB - Counter-Strike Bot based on PODBot by Markus Klinge.
// Copyright © 2004-2020 YaPB Project <yapb@jeefo.net>.
//
// SPDX-License-Identifier: MIT
//
#pragma once
#include <crlib/cr-basic.h>
#if defined (CR_HAS_SSE)
# include <pmmintrin.h>
#endif
#include <math.h>
CR_NAMESPACE_BEGIN
constexpr float kFloatEpsilon = 0.01f;
constexpr float kFloatEqualEpsilon = 0.001f;
constexpr float kFloatCmpEpsilon = 1.192092896e-07f;
constexpr float kMathPi = 3.141592653589793115997963468544185161590576171875f;
constexpr float kMathPiHalf = kMathPi * 0.5f;
constexpr float kDegreeToRadians = kMathPi / 180.0f;
constexpr float kRadiansToDegree = 180.0f / kMathPi;
constexpr bool fzero (const float e) {
return cr::abs (e) < kFloatEpsilon;
}
constexpr bool fequal (const float a, const float b) {
return cr:: abs (a - b) < kFloatEqualEpsilon;
}
constexpr float rad2deg (const float r) {
return r * kRadiansToDegree;
}
constexpr float deg2rad (const float d) {
return d * kDegreeToRadians;
}
constexpr float modAngles (const float a) {
return 360.0f / 65536.0f * (static_cast <int> (a * (65536.0f / 360.0f)) & 65535);
}
constexpr float normalizeAngles (const float a) {
return 360.0f / 65536.0f * (static_cast <int> ((a + 180.0f) * (65536.0f / 360.0f)) & 65535) - 180.0f;
}
constexpr float anglesDifference (const float a, const float b) {
return normalizeAngles (a - b);
}
inline float sinf (const float value) {
return ::sinf (value);
}
inline float cosf (const float value) {
return ::cosf (value);
}
inline float atanf (const float value) {
return ::atanf (value);
}
inline float atan2f (const float y, const float x) {
return ::atan2f (y, x);
}
inline float powf (const float x, const float y) {
return ::powf (x, y);
}
inline float sqrtf (const float value) {
return ::sqrtf (value);
}
inline float tanf (const float value) {
return ::tanf (value);
}
inline float ceilf (const float value) {
return ::ceilf (value);
}
inline void sincosf (const float x, const float y, const float z, float *sines, float *cosines) {
#if defined (CR_HAS_SSE)
auto set = _mm_set_ps (x, y, z, 0.0f);
auto _mm_sin = [] (__m128 rad) -> __m128 {
static auto pi2 = _mm_set_ps1 (kMathPi * 2);
static auto rp1 = _mm_set_ps1 (4.0f / kMathPi);
static auto rp2 = _mm_set_ps1 (-4.0f / (kMathPi * kMathPi));
static auto val = _mm_cmpnlt_ps (rad, _mm_set_ps1 (kMathPi));
static auto csi = _mm_castsi128_ps (_mm_set1_epi32 (0x80000000));
val = _mm_and_ps (val, pi2);
rad = _mm_sub_ps (rad, val);
val = _mm_cmpngt_ps (rad, _mm_set_ps1 (-kMathPi));
val = _mm_and_ps (val, pi2);
rad = _mm_add_ps (rad, val);
val = _mm_mul_ps (_mm_andnot_ps (csi, rad), rp2);
val = _mm_add_ps (val, rp1);
auto si = _mm_mul_ps (val, rad);
val = _mm_mul_ps (_mm_andnot_ps (csi, si), si);
val = _mm_sub_ps (val, si);
val = _mm_mul_ps (val, _mm_set_ps1 (0.225f));
return _mm_add_ps (val, si);
};
static auto hpi = _mm_set_ps1 (kMathPiHalf);
auto s = _mm_sin (set);
auto c = _mm_sin (_mm_add_ps (set, hpi));
_mm_store_ps (sines, _mm_shuffle_ps (s, s, _MM_SHUFFLE (0, 1, 2, 3)));
_mm_store_ps (cosines, _mm_shuffle_ps (c, c, _MM_SHUFFLE (0, 1, 2, 3)));
#else
sines[0] = cr::sinf (x);
sines[1] = cr::sinf (y);
sines[2] = cr::sinf (z);
cosines[0] = cr::cosf (x);
cosines[1] = cr::cosf (y);
cosines[2] = cr::cosf (z);
#endif
}
CR_NAMESPACE_END