#pragma once //////////////////////////////////////////////////////////////////////////////// // The MIT License (MIT) // // Copyright (c) 2017 Nicholas Frechette & Animation Compression Library contributors // Copyright (c) 2018 Nicholas Frechette & Realtime Math contributors // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. //////////////////////////////////////////////////////////////////////////////// #include "rtm/math.h" #include "rtm/quatf.h" #include "rtm/vector4f.h" #include "rtm/matrix3x4f.h" #include "rtm/impl/compiler_utils.h" #include "rtm/impl/qvv_common.h" RTM_IMPL_FILE_PRAGMA_PUSH namespace rtm { ////////////////////////////////////////////////////////////////////////// // Casts a QVV transform float64 variant to a float32 variant. ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK RTM_FORCE_INLINE qvvf RTM_SIMD_CALL qvv_cast(const qvvd& input) RTM_NO_EXCEPT { return qvvf{ quat_cast(input.rotation), vector_cast(input.translation), vector_cast(input.scale) }; } ////////////////////////////////////////////////////////////////////////// // Multiplies two QVV transforms. // Multiplication order is as follow: local_to_world = qvv_mul(local_to_object, object_to_world) // NOTE: When scale is present, multiplication will not properly handle skew/shear, // use affine matrices if you have issues. ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK inline qvvf RTM_SIMD_CALL qvv_mul(qvvf_arg0 lhs, qvvf_arg1 rhs) RTM_NO_EXCEPT { const vector4f min_scale = vector_min(lhs.scale, rhs.scale); const vector4f scale = vector_mul(lhs.scale, rhs.scale); if (vector_any_less_than3(min_scale, vector_zero())) { // If we have negative scale, we go through a matrix const matrix3x4f lhs_mtx = matrix_from_qvv(lhs); const matrix3x4f rhs_mtx = matrix_from_qvv(rhs); matrix3x4f result_mtx = matrix_mul(lhs_mtx, rhs_mtx); result_mtx = matrix_remove_scale(result_mtx); #if defined(RTM_SSE2_INTRINSICS) constexpr __m128 signs = { -0.0F, -0.0F, -0.0F, -0.0F }; const __m128 sign_bits = _mm_and_ps(scale, signs); // Mask out the sign bit result_mtx.x_axis = _mm_xor_ps(result_mtx.x_axis, _mm_shuffle_ps(sign_bits, sign_bits, _MM_SHUFFLE(0, 0, 0, 0))); result_mtx.y_axis = _mm_xor_ps(result_mtx.y_axis, _mm_shuffle_ps(sign_bits, sign_bits, _MM_SHUFFLE(1, 1, 1, 1))); result_mtx.z_axis = _mm_xor_ps(result_mtx.z_axis, _mm_shuffle_ps(sign_bits, sign_bits, _MM_SHUFFLE(2, 2, 2, 2))); #else const vector4f sign = vector_sign(scale); result_mtx.x_axis = vector_mul(result_mtx.x_axis, vector_dup_x(sign)); result_mtx.y_axis = vector_mul(result_mtx.y_axis, vector_dup_y(sign)); result_mtx.z_axis = vector_mul(result_mtx.z_axis, vector_dup_z(sign)); #endif const quatf rotation = quat_from_matrix(result_mtx); const vector4f translation = result_mtx.w_axis; return qvv_set(rotation, translation, scale); } else { const quatf rotation = quat_mul(lhs.rotation, rhs.rotation); const vector4f translation = vector_add(quat_mul_vector3(vector_mul(lhs.translation, rhs.scale), rhs.rotation), rhs.translation); return qvv_set(rotation, translation, scale); } } ////////////////////////////////////////////////////////////////////////// // Multiplies two QVV transforms ignoring 3D scale. // The resulting QVV transform with have a [1,1,1] 3D scale. // Multiplication order is as follow: local_to_world = qvv_mul(local_to_object, object_to_world) ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK inline qvvf RTM_SIMD_CALL qvv_mul_no_scale(qvvf_arg0 lhs, qvvf_arg1 rhs) RTM_NO_EXCEPT { const quatf rotation = quat_mul(lhs.rotation, rhs.rotation); const vector4f translation = vector_add(quat_mul_vector3(lhs.translation, rhs.rotation), rhs.translation); return qvv_set(rotation, translation, vector_set(1.0F)); } ////////////////////////////////////////////////////////////////////////// // Multiplies a QVV transform and a 3D point. // Multiplication order is as follow: world_position = qvv_mul_point3(local_position, local_to_world) ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK inline vector4f RTM_SIMD_CALL qvv_mul_point3(vector4f_arg0 point, qvvf_arg1 qvv) RTM_NO_EXCEPT { return vector_add(quat_mul_vector3(vector_mul(qvv.scale, point), qvv.rotation), qvv.translation); } ////////////////////////////////////////////////////////////////////////// // Multiplies a QVV transform and a 3D point ignoring 3D scale. // Multiplication order is as follow: world_position = qvv_mul_point3_no_scale(local_position, local_to_world) ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK inline vector4f RTM_SIMD_CALL qvv_mul_point3_no_scale(vector4f_arg0 point, qvvf_arg1 qvv) RTM_NO_EXCEPT { return vector_add(quat_mul_vector3(point, qvv.rotation), qvv.translation); } ////////////////////////////////////////////////////////////////////////// // Returns the inverse of the input QVV transform. ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK inline qvvf RTM_SIMD_CALL qvv_inverse(qvvf_arg0 input) RTM_NO_EXCEPT { const quatf inv_rotation = quat_conjugate(input.rotation); const vector4f inv_scale = vector_reciprocal(input.scale); const vector4f inv_translation = vector_neg(quat_mul_vector3(vector_mul(input.translation, inv_scale), inv_rotation)); return qvv_set(inv_rotation, inv_translation, inv_scale); } ////////////////////////////////////////////////////////////////////////// // Returns the inverse of the input QVV transform ignoring 3D scale. // The resulting QVV transform with have a [1,1,1] 3D scale. ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK inline qvvf RTM_SIMD_CALL qvv_inverse_no_scale(qvvf_arg0 input) RTM_NO_EXCEPT { const quatf inv_rotation = quat_conjugate(input.rotation); const vector4f inv_translation = vector_neg(quat_mul_vector3(input.translation, inv_rotation)); return qvv_set(inv_rotation, inv_translation, vector_set(1.0F)); } ////////////////////////////////////////////////////////////////////////// // Returns a QVV transforms with the rotation part normalized. ////////////////////////////////////////////////////////////////////////// RTM_DISABLE_SECURITY_COOKIE_CHECK RTM_FORCE_INLINE qvvf RTM_SIMD_CALL qvv_normalize(qvvf_arg0 input) RTM_NO_EXCEPT { const quatf rotation = quat_normalize(input.rotation); return qvv_set(rotation, input.translation, input.scale); } } RTM_IMPL_FILE_PRAGMA_POP