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| author | Miles Macklin <[email protected]> | 2017-03-10 14:51:31 +1300 |
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| committer | Miles Macklin <[email protected]> | 2017-03-10 14:51:31 +1300 |
| commit | ad3d90fafe5ee79964bdfe1f1e0704c3ffcdfd5f (patch) | |
| tree | 4cc6f3288363889d7342f7f8407c0251e6904819 /core/quat.h | |
| download | flex-ad3d90fafe5ee79964bdfe1f1e0704c3ffcdfd5f.tar.xz flex-ad3d90fafe5ee79964bdfe1f1e0704c3ffcdfd5f.zip | |
Initial 1.1.0 binary release
Diffstat (limited to 'core/quat.h')
| -rw-r--r-- | core/quat.h | 137 |
1 files changed, 137 insertions, 0 deletions
diff --git a/core/quat.h b/core/quat.h new file mode 100644 index 0000000..c241aa8 --- /dev/null +++ b/core/quat.h @@ -0,0 +1,137 @@ +// This code contains NVIDIA Confidential Information and is disclosed to you +// under a form of NVIDIA software license agreement provided separately to you. +// +// Notice +// NVIDIA Corporation and its licensors retain all intellectual property and +// proprietary rights in and to this software and related documentation and +// any modifications thereto. Any use, reproduction, disclosure, or +// distribution of this software and related documentation without an express +// license agreement from NVIDIA Corporation is strictly prohibited. +// +// ALL NVIDIA DESIGN SPECIFICATIONS, CODE ARE PROVIDED "AS IS.". NVIDIA MAKES +// NO WARRANTIES, EXPRESSED, IMPLIED, STATUTORY, OR OTHERWISE WITH RESPECT TO +// THE MATERIALS, AND EXPRESSLY DISCLAIMS ALL IMPLIED WARRANTIES OF NONINFRINGEMENT, +// MERCHANTABILITY, AND FITNESS FOR A PARTICULAR PURPOSE. +// +// Information and code furnished is believed to be accurate and reliable. +// However, NVIDIA Corporation assumes no responsibility for the consequences of use of such +// information or for any infringement of patents or other rights of third parties that may +// result from its use. No license is granted by implication or otherwise under any patent +// or patent rights of NVIDIA Corporation. Details are subject to change without notice. +// This code supersedes and replaces all information previously supplied. +// NVIDIA Corporation products are not authorized for use as critical +// components in life support devices or systems without express written approval of +// NVIDIA Corporation. +// +// Copyright (c) 2013-2016 NVIDIA Corporation. All rights reserved. + +#pragma once + +#include <cassert> + +struct Matrix33; + +template <typename T> +class XQuat +{ +public: + + typedef T value_type; + + CUDA_CALLABLE XQuat() : x(0), y(0), z(0), w(1.0) {} + CUDA_CALLABLE XQuat(const T* p) : x(p[0]), y(p[1]), z(p[2]), w(p[3]) {} + CUDA_CALLABLE XQuat(T x_, T y_, T z_, T w_) : x(x_), y(y_), z(z_), w(w_) { } + CUDA_CALLABLE XQuat(const Vec3& v, float w) : x(v.x), y(v.y), z(v.z), w(w) { } + CUDA_CALLABLE XQuat(const Matrix33& m); + + CUDA_CALLABLE operator T* () { return &x; } + CUDA_CALLABLE operator const T* () const { return &x; }; + + CUDA_CALLABLE void Set(T x_, T y_, T z_, T w_) { x = x_; y = y_; z = z_; w = w_; } + + CUDA_CALLABLE XQuat<T> operator * (T scale) const { XQuat<T> r(*this); r *= scale; return r;} + CUDA_CALLABLE XQuat<T> operator / (T scale) const { XQuat<T> r(*this); r /= scale; return r; } + CUDA_CALLABLE XQuat<T> operator + (const XQuat<T>& v) const { XQuat<T> r(*this); r += v; return r; } + CUDA_CALLABLE XQuat<T> operator - (const XQuat<T>& v) const { XQuat<T> r(*this); r -= v; return r; } + CUDA_CALLABLE XQuat<T> operator * (XQuat<T> q) const + { + // quaternion multiplication + return XQuat<T>(w * q.x + q.w * x + y * q.z - q.y * z, w * q.y + q.w * y + z * q.x - q.z * x, + w * q.z + q.w * z + x * q.y - q.x * y, w * q.w - x * q.x - y * q.y - z * q.z); + } + + CUDA_CALLABLE XQuat<T>& operator *=(T scale) {x *= scale; y *= scale; z*= scale; w*= scale; return *this;} + CUDA_CALLABLE XQuat<T>& operator /=(T scale) {T s(1.0f/scale); x *= s; y *= s; z *= s; w *=s; return *this;} + CUDA_CALLABLE XQuat<T>& operator +=(const XQuat<T>& v) {x += v.x; y += v.y; z += v.z; w += v.w; return *this;} + CUDA_CALLABLE XQuat<T>& operator -=(const XQuat<T>& v) {x -= v.x; y -= v.y; z -= v.z; w -= v.w; return *this;} + + CUDA_CALLABLE bool operator != (const XQuat<T>& v) const { return (x != v.x || y != v.y || z != v.z || w != v.w); } + + // negate + CUDA_CALLABLE XQuat<T> operator -() const { return XQuat<T>(-x, -y, -z, -w); } + + T x,y,z,w; +}; + +typedef XQuat<float> Quat; + +// lhs scalar scale +template <typename T> +CUDA_CALLABLE XQuat<T> operator *(T lhs, const XQuat<T>& rhs) +{ + XQuat<T> r(rhs); + r *= lhs; + return r; +} + +template <typename T> +CUDA_CALLABLE bool operator==(const XQuat<T>& lhs, const XQuat<T>& rhs) +{ + return (lhs.x == rhs.x && lhs.y == rhs.y && lhs.z == rhs.z && lhs.w == rhs.w); +} + +template <typename T> +CUDA_CALLABLE inline XQuat<T> QuatFromAxisAngle(const Vec3& axis, float angle) +{ + Vec3 v = Normalize(axis); + + float half = angle*0.5f; + float w = cosf(half); + + const float sin_theta_over_two = sinf(half); + v *= sin_theta_over_two; + + return XQuat<T>(v.x, v.y, v.z, w); +} + + +// rotate vector by quaternion (q, w) +CUDA_CALLABLE inline Vec3 Rotate(const Quat& q, const Vec3& x) +{ + return x*(2.0f*q.w*q.w-1.0f) + Cross(Vec3(q), x)*q.w*2.0f + Vec3(q)*Dot(Vec3(q), x)*2.0f; +} + +// rotate vector by inverse transform in (q, w) +CUDA_CALLABLE inline Vec3 RotateInv(const Quat& q, const Vec3& x) +{ + return x*(2.0f*q.w*q.w-1.0f) - Cross(Vec3(q), x)*q.w*2.0f + Vec3(q)*Dot(Vec3(q), x)*2.0f; +} + +CUDA_CALLABLE inline Quat Inverse(const Quat& q) +{ + return Quat(-q.x, -q.y, -q.z, q.w); +} + +CUDA_CALLABLE inline Quat Normalize(const Quat& q) +{ + float lSq = q.x*q.x + q.y*q.y + q.z*q.z + q.w*q.w; + + if (lSq > 0.0f) + { + float invL = 1.0f / sqrtf(lSq); + + return q*invL; + } + else + return Quat(); +}
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