#include "vectors.hpp" #include "matrix.hpp" #include "quaternion.hpp" namespace xna { bool Vector2::Transform(Vector2 const* sourceArray, size_t sourceArrayLength, Matrix const& matrix, Vector2* destinationArray, size_t destinationArrayLength) { if (!sourceArray || !destinationArray || destinationArrayLength < sourceArrayLength) return false; for (size_t index = 0; index < sourceArrayLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = (source.X * matrix.M11 + source.Y * matrix.M21) + matrix.M41; destinationArray[index].Y = (source.X * matrix.M12 + source.Y * matrix.M22) + matrix.M42; } return true; } bool Vector2::Transform(std::vector sourceArray, Matrix const& matrix, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), matrix, destinationArray.data(), destinationArray.size()); } bool Vector2::Transform(Vector2 const* sourceArray, size_t sourceArrayLength, size_t sourceIndex, Matrix const& matrix, Vector2* destinationArray, size_t destinationArrayLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || destinationArrayLength < sourceArrayLength || sourceArrayLength < sourceIndex + length || destinationArrayLength < destinationIndex + length) return false; for (size_t i = 0; i < length; ++i) { const auto& source = sourceArray[sourceIndex + i]; destinationArray[destinationIndex + i].X = (source.X * matrix.M11 + source.Y * matrix.M21) + matrix.M41; destinationArray[destinationIndex + i].Y = (source.X * matrix.M12 + source.Y * matrix.M22) + matrix.M42; } return true; } bool Vector2::Transform(std::vector const& sourceArray, size_t sourceIndex, Matrix const& matrix, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), sourceIndex, matrix, destinationArray.data(), destinationArray.size(), destinationIndex, length); } bool Vector2::TransformNormal(Vector2 const* sourceArray, size_t sourceArrayLength, Matrix const& matrix, Vector2* destinationArray, size_t destinationArrayLength) { if (!sourceArray || !destinationArray || destinationArrayLength < sourceArrayLength) return false; for (size_t index = 0; index < sourceArrayLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = source.X * matrix.M11 + source.Y * matrix.M21; destinationArray[index].Y = source.X * matrix.M12 + source.Y * matrix.M22; } return true; } bool Vector2::TransformNormal(std::vector const& sourceArray, Matrix const& matrix, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return TransformNormal(sourceArray.data(), sourceArray.size(), matrix, destinationArray.data(), destinationArray.size()); } bool Vector2::TransformNormal(Vector2 const* sourceArray, size_t sourceArrayLength, size_t sourceIndex, Matrix const& matrix, Vector2* destinationArray, size_t destinationArrayLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || destinationArrayLength < sourceArrayLength || sourceArrayLength < sourceIndex + length || destinationArrayLength < destinationIndex + length) return false; for (size_t i = 0; i < length; ++i) { const auto& source = sourceArray[sourceIndex + i]; destinationArray[destinationIndex].X = (source.X * matrix.M11 + source.Y * matrix.M21); destinationArray[destinationIndex].Y = (source.X * matrix.M12 + source.Y * matrix.M22); } return true; } bool Vector2::TransformNormal(std::vector const& sourceArray, size_t sourceIndex, Matrix const& matrix, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return TransformNormal(sourceArray.data(), sourceArray.size(), sourceIndex, matrix, destinationArray.data(), destinationArray.size(), destinationIndex, length); } bool Vector2::Transform(Vector2 const* sourceArray, size_t sourceArrayLength, Quaternion const& rotation, Vector2* destinationArray, size_t destinationArrayLength) { if (!sourceArray || !destinationArray || destinationArrayLength < sourceArrayLength) return false; const auto rx = rotation.X + rotation.X; const auto ry = rotation.Y + rotation.Y; const auto rz = rotation.Z + rotation.Z; const auto rwz = rotation.W * rz; const auto rxx = rotation.X * rx; const auto rxy = rotation.X * ry; const auto ryy = rotation.Y * ry; const auto rzz = rotation.Z * rz; const auto a = 1.0f - ryy - rzz; const auto b = rxy - rwz; const auto c = rxy + rwz; const auto d = 1.0f - rxx - rzz; for (size_t index = 0; index < sourceArrayLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = source.X * a + source.Y * b; destinationArray[index].Y = source.X * c + source.Y * d; } return true; } bool Vector2::Transform(std::vector const& sourceArray, Quaternion const& rotation, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), rotation, destinationArray.data(), destinationArray.size()); } bool Vector2::Transform(Vector2 const* sourceArray, size_t sourceArrayLength, size_t sourceIndex, Quaternion const& rotation, Vector2* destinationArray, size_t destinationArrayLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || destinationArrayLength < sourceArrayLength || sourceArrayLength < sourceIndex + length || destinationArrayLength < destinationIndex + length) return false; const auto rx = rotation.X + rotation.X; const auto ry = rotation.Y + rotation.Y; const auto rz = rotation.Z + rotation.Z; const auto rwz = rotation.W * rz; const auto rxx = rotation.X * rx; const auto rxy = rotation.X * ry; const auto ryy = rotation.Y * ry; const auto rzz = rotation.Z * rz; const auto a = 1.0f - ryy - rzz; const auto b = rxy - rwz; const auto c = rxy + rwz; const auto d = 1.0f - rxx - rzz; for (size_t i = 0; i < length; ++i) { const auto& source = sourceArray[sourceIndex = i]; destinationArray[destinationIndex].X = source.X * a + source.Y* b; destinationArray[destinationIndex].Y = source.X * c +source.Y * d; ++sourceIndex; ++destinationIndex; } return true; } bool Vector2::Transform(std::vector const& sourceArray, size_t sourceIndex, Quaternion const& rotation, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), sourceIndex, rotation, destinationArray.data(), destinationArray.size(), destinationIndex, length); } bool Vector3::Transform(Vector3 const* sourceArray, size_t sourceArrayLength, Matrix const& matrix, Vector3* destinationArray, size_t destinationLength) { if (!sourceArray || !destinationArray || destinationLength < sourceArrayLength) return false; for (size_t index = 0; index < sourceArrayLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = (source.X * matrix.M11 + source.Y * matrix.M21 + source.Z * matrix.M31) + matrix.M41; destinationArray[index].Y = (source.X * matrix.M12 + source.Y * matrix.M22 + source.Z * matrix.M32) + matrix.M42; destinationArray[index].Z = (source.X * matrix.M13 + source.Y * matrix.M23 + source.Z * matrix.M33) + matrix.M43; } return true; } bool Vector3::Transform(std::vector const& sourceArray, Matrix const& matrix, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), matrix, destinationArray.data(), destinationArray.size()); } bool Vector3::Transform(Vector3 const* sourceArray, size_t sourceArrayLength, size_t sourceIndex, Matrix const& matrix, Vector3* destinationArray, size_t destinationLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || sourceArrayLength < sourceIndex + length || destinationLength < destinationIndex + length) return false; for (size_t index = 0; index < length; ++index) { const auto& source = sourceArray[sourceIndex + index]; destinationArray[destinationIndex + index].X = (source.X * matrix.M11 + source.Y * matrix.M21 + source.Z * matrix.M31) + matrix.M41; destinationArray[destinationIndex + index].Y = (source.X * matrix.M12 + source.Y * matrix.M22 + source.Z * matrix.M32) + matrix.M42; destinationArray[destinationIndex + index].Z = (source.X * matrix.M13 + source.Y * matrix.M23 + source.Z * matrix.M33) + matrix.M43; } return true; } bool Vector3::Transform(std::vector const& sourceArray, size_t sourceIndex, Matrix const& matrix, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), sourceIndex, matrix, destinationArray.data(), destinationArray.size(), destinationIndex, length); } bool Vector3::TransformNormal(Vector3 const* sourceArray, size_t sourceArrayLength, Matrix const& matrix, Vector3* destinationArray, size_t destionationArrayLength) { if (!sourceArray || !destinationArray || sourceArrayLength < destionationArrayLength) return false; for (size_t index = 0; index < sourceArrayLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = source.X * matrix.M11 + source.Y * matrix.M21 + source.Z * matrix.M31; destinationArray[index].Y = source.X * matrix.M12 + source.Y * matrix.M22 + source.Z * matrix.M32; destinationArray[index].Z = source.X * matrix.M13 + source.Y * matrix.M23 + source.Z * matrix.M33; } return true; } bool Vector3::TransformNormal(std::vector const& sourceArray, Matrix const& matrix, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return TransformNormal(sourceArray.data(), sourceArray.size(), matrix, destinationArray.data(), destinationArray.size()); } bool Vector3::TransformNormal(Vector3 const* sourceArray, size_t sourceArrayLength, size_t sourceIndex, Matrix const& matrix, Vector3* destinationArray, size_t destinationLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || sourceArrayLength < sourceIndex + length || destinationLength < destinationIndex + length) return false; for (size_t index = 0; index < length; ++index) { const auto& source = sourceArray[sourceIndex + index]; destinationArray[destinationIndex + index].X = source.X * matrix.M11 + source.Y * matrix.M21 + source.Z * matrix.M31; destinationArray[destinationIndex + index].Y = source.X * matrix.M12 + source.Y * matrix.M22 + source.Z * matrix.M32; destinationArray[destinationIndex + index].Z = source.X * matrix.M13 + source.Y * matrix.M23 + source.Z * matrix.M33; } return true; } bool Vector3::TransformNormal(std::vector const& sourceArray, size_t sourceIndex, Matrix const& matrix, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return TransformNormal(sourceArray.data(), sourceArray.size(), sourceIndex, matrix, destinationArray.data(), destinationArray.size(), destinationIndex, length); } bool Vector3::TransformNormal(Vector3 const* sourceArray, size_t sourceArrayLength, Quaternion const& rotation, Vector3* destinationArray, size_t destinationLength) { if (!sourceArray || !destinationArray || destinationLength < sourceArrayLength) return false; const auto num1 = rotation.X + rotation.X; const auto num2 = rotation.Y + rotation.Y; const auto num3 = rotation.Z + rotation.Z; const auto num4 = rotation.W * num1; const auto num5 = rotation.W * num2; const auto num6 = rotation.W * num3; const auto num7 = rotation.X * num1; const auto num8 = rotation.X * num2; const auto num9 = rotation.X * num3; const auto num10 = rotation.Y * num2; const auto num11 = rotation.Y * num3; const auto num12 = rotation.Z * num3; const auto num13 = 1.0f - num10 - num12; const auto num14 = num8 - num6; const auto num15 = num9 + num5; const auto num16 = num8 + num6; const auto num17 = 1.0f - num7 - num12; const auto num18 = num11 - num4; const auto num19 = num9 - num5; const auto num20 = num11 + num4; const auto num21 = 1.0f - num7 - num10; for (size_t index = 0; index < sourceArrayLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = source.X * num13 + source.Y * num14 + source.Z * num15; destinationArray[index].Y = source.X * num16 + source.Y * num17 + source.Z * num18; destinationArray[index].Z = source.X * num19 + source.Y * num20 + source.Z * num21; } return true; } bool Vector3::TransformNormal(std::vector const& sourceArray, Quaternion const& rotation, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return TransformNormal(sourceArray.data(), sourceArray.size(), rotation, destinationArray.data(), destinationArray.size()); } bool Vector3::TransformNormal(Vector3 const* sourceArray, size_t sourceArrayLength, size_t sourceIndex, Quaternion const& rotation, Vector3* destinationArray, size_t destinationLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || sourceArrayLength < sourceIndex + length || destinationLength < destinationIndex + length) return false; const auto num1 = rotation.X + rotation.X; const auto num2 = rotation.Y + rotation.Y; const auto num3 = rotation.Z + rotation.Z; const auto num4 = rotation.W * num1; const auto num5 = rotation.W * num2; const auto num6 = rotation.W * num3; const auto num7 = rotation.X * num1; const auto num8 = rotation.X * num2; const auto num9 = rotation.X * num3; const auto num10 = rotation.Y * num2; const auto num11 = rotation.Y * num3; const auto num12 = rotation.Z * num3; const auto num13 = 1.0f - num10 - num12; const auto num14 = num8 - num6; const auto num15 = num9 + num5; const auto num16 = num8 + num6; const auto num17 = 1.0f - num7 - num12; const auto num18 = num11 - num4; const auto num19 = num9 - num5; const auto num20 = num11 + num4; const auto num21 = 1.0f - num7 - num10; for (size_t index = 0; index < length; ++index) { const auto& source = sourceArray[sourceIndex + index]; destinationArray[destinationIndex + index].X = source.X * num13 + source.Y * num14 + source.Z * num15; destinationArray[destinationIndex + index].Y = source.X * num16 + source.Y * num17 + source.Z * num18; destinationArray[destinationIndex + index].Z = source.X * num19 + source.Y * num20 + source.Z * num21; } return true; } bool Vector3::TransformNormal(std::vector const& sourceArray, size_t sourceIndex, Quaternion const& rotation, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return TransformNormal(sourceArray.data(), sourceArray.size(), sourceIndex, rotation, destinationArray.data(), destinationArray.size(), destinationIndex, length); } bool Vector4::Transform(Vector4 const* sourceArray, size_t sourceLength, Matrix const& matrix, Vector4* destinationArray, size_t destinationLength) { if (!sourceArray || !destinationArray || destinationLength < sourceLength) return false; for (size_t index = 0; index < sourceLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = source.X * matrix.M11 + source.Y * matrix.M21 + source.Z * matrix.M31 + source.W * matrix.M41; destinationArray[index].Y = source.X * matrix.M12 + source.Y * matrix.M22 + source.Z * matrix.M32 + source.W * matrix.M42; destinationArray[index].Z = source.X * matrix.M13 + source.Y * matrix.M23 + source.Z * matrix.M33 + source.W * matrix.M43; destinationArray[index].W = source.X * matrix.M14 + source.Y * matrix.M24 + source.Z * matrix.M34 + source.W * matrix.M44; } return true; } bool Vector4::Transform(std::vector const& sourceArray, size_t sourceLength, Matrix const& matrix, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), matrix, destinationArray.data(), destinationArray.size()); } bool Vector4::Transform(Vector4 const* sourceArray, size_t sourceLength, size_t sourceIndex, Matrix const& matrix, Vector4* destinationArray, size_t destinationLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || sourceLength < sourceIndex + length || destinationLength < destinationIndex + length) return false; for (size_t i = 0; i < length; ++i) { const auto& source = sourceArray[sourceIndex + i]; destinationArray[destinationIndex].X = source.X * matrix.M11 + source.Y * matrix.M21 + source.Z * matrix.M31 + source.W * matrix.M41; destinationArray[destinationIndex].Y = source.X * matrix.M12 + source.Y * matrix.M22 + source.Z * matrix.M32 + source.W * matrix.M42; destinationArray[destinationIndex].Z = source.X * matrix.M13 + source.Y * matrix.M23 + source.Z * matrix.M33 + source.W * matrix.M43; destinationArray[destinationIndex].W = source.X * matrix.M14 + source.Y * matrix.M24 + source.Z * matrix.M34 + source.W * matrix.M44; } return true; } bool Vector4::Transform(std::vector const& sourceArray, size_t sourceIndex, Matrix const& matrix, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), sourceIndex, matrix, destinationArray.data(), destinationArray.size(), destinationIndex, length); } bool Vector4::Transform(Vector4 const* sourceArray, size_t sourceLength, Quaternion const& rotation, Vector4* destinationArray, size_t destinationLength) { if (!sourceArray || !destinationArray || destinationLength < sourceLength) return false; const auto num1 = rotation.X + rotation.X; const auto num2 = rotation.Y + rotation.Y; const auto num3 = rotation.Z + rotation.Z; const auto num4 = rotation.W * num1; const auto num5 = rotation.W * num2; const auto num6 = rotation.W * num3; const auto num7 = rotation.X * num1; const auto num8 = rotation.X * num2; const auto num9 = rotation.X * num3; const auto num10 = rotation.Y * num2; const auto num11 = rotation.Y * num3; const auto num12 = rotation.Z * num3; const auto num13 = 1.0f - num10 - num12; const auto num14 = num8 - num6; const auto num15 = num9 + num5; const auto num16 = num8 + num6; const auto num17 = 1.0f - num7 - num12; const auto num18 = num11 - num4; const auto num19 = num9 - num5; const auto num20 = num11 + num4; const auto num21 = 1.0f - num7 - num10; for (size_t index = 0; index < sourceLength; ++index) { const auto& source = sourceArray[index]; destinationArray[index].X = source.Z * num13 + source.Y * num14 + source.Z * num15; destinationArray[index].Y = source.Z * num16 + source.Y * num17 + source.Z * num18; destinationArray[index].Z = source.Z * num19 + source.Y * num20 + source.Z * num21; destinationArray[index].W = sourceArray[index].W; } return true; } bool Vector4::Transform(std::vector const& sourceArray, Quaternion const& rotation, std::vector& destinationArray) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), rotation, destinationArray.data(), destinationArray.size()); } bool Vector4::Transform(Vector4 const* sourceArray, size_t sourceLength, size_t sourceIndex, Quaternion const& rotation, Vector4* destinationArray, size_t destinationLength, size_t destinationIndex, size_t length) { if (!sourceArray || !destinationArray || sourceLength < sourceIndex + length || destinationLength < destinationIndex + length) return false; const auto num1 = rotation.X + rotation.X; const auto num2 = rotation.Y + rotation.Y; const auto num3 = rotation.Z + rotation.Z; const auto num4 = rotation.W * num1; const auto num5 = rotation.W * num2; const auto num6 = rotation.W * num3; const auto num7 = rotation.X * num1; const auto num8 = rotation.X * num2; const auto num9 = rotation.X * num3; const auto num10 = rotation.Y * num2; const auto num11 = rotation.Y * num3; const auto num12 = rotation.Z * num3; const auto num13 = 1.0f - num10 - num12; const auto num14 = num8 - num6; const auto num15 = num9 + num5; const auto num16 = num8 + num6; const auto num17 = 1.0f - num7 - num12; const auto num18 = num11 - num4; const auto num19 = num9 - num5; const auto num20 = num11 + num4; const auto num21 = 1.0f - num7 - num10; for (size_t i = 0; i < length; ++i) { const auto& source = sourceArray[sourceIndex + i]; destinationArray[destinationIndex].X = source.X * num13 + source.Y * num14 + source.Z * num15; destinationArray[destinationIndex].Y = source.X * num16 + source.Y * num17 + source.Z * num18; destinationArray[destinationIndex].Z = source.X * num19 + source.Y * num20 + source.Z * num21; destinationArray[destinationIndex].W = source.W; } return true; } bool Vector4::Transform(std::vector const& sourceArray, size_t sourceIndex, Quaternion const& rotation, std::vector& destinationArray, size_t destinationIndex, size_t length) { if (destinationArray.empty()) destinationArray.resize(sourceArray.size()); return Transform(sourceArray.data(), sourceArray.size(), sourceIndex, rotation, destinationArray.data(), destinationArray.size(), destinationIndex, length); } }