Crafter.Math/interfaces/Crafter.Math-MatrixCollumMajor.cppm

/*
Crafter.Math
Copyright (C) 2025 Catcrafts
Catcrafts.net

This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 3.0 of the License, or (at your option) any later version.

This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.

You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301 USA
*/

module;

#include <type_traits>
#include <concepts>
#include <immintrin.h>
#include <string>
#include <sstream>
#include <iostream>
#include <cmath>

export module Crafter.Math:MatrixCollumMajor;

import :BasicTypes;
import :Vector;
import :Misc;

namespace Crafter {
	export template <typename T, uint32_t CollumSize, uint32_t RowSize, uint32_t Repeats>
	class MatrixCollumMajor {
	public:
		T m[CollumSize*Repeats][RowSize];

		MatrixCollumMajor() = default;

		MatrixCollumMajor(
			float x0, float y0, float z0, float w0,
			float x1, float y1, float z1, float w1,
			float x2, float y2, float z2, float w2,
			float x3, float y3, float z3, float w3
		) requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>) {
			m[0][0] = x0;
			m[0][1] = x1;
			m[0][2] = x2;
			m[0][3] = x3;

			m[1][0] = y0;
			m[1][1] = y1;
			m[1][2] = y2;
			m[1][3] = y3;

			m[2][0] = z0;
			m[2][1] = z1;
			m[2][2] = z2;
			m[2][3] = z3;

			m[3][0] = w0;
			m[3][1] = w1;
			m[3][2] = w2;
			m[3][3] = w3;
		}

		Vector<T, 3> operator*(Vector<T, 3> b) const requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>) {
			return Vector<T, 3>(
				b.x * m[0][0] + b.y * m[0][1] + b.z * m[0][2] + m[0][3],
				b.x * m[1][0] + b.y * m[1][1] + b.z * m[1][2] + m[1][3],
				b.x * m[2][0] + b.y * m[2][1] + b.z * m[2][2] + m[2][3]
			);
		}

		MatrixCollumMajor<T, CollumSize, RowSize, Repeats> operator*(MatrixCollumMajor<T, CollumSize, RowSize, Repeats> b) const requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>) {
			MatrixCollumMajor<T, CollumSize, RowSize, Repeats> result;

			result.m[0][0] = b.m[0][0] * m[0][0] + b.m[1][0] * m[0][1] + b.m[2][0] * m[0][2] + b.m[3][0] * m[0][3];
			result.m[0][1] = b.m[0][1] * m[0][0] + b.m[1][1] * m[0][1] + b.m[2][1] * m[0][2] + b.m[3][1] * m[0][3];
			result.m[0][2] = b.m[0][2] * m[0][0] + b.m[1][2] * m[0][1] + b.m[2][2] * m[0][2] + b.m[3][2] * m[0][3];
			result.m[0][3] = b.m[0][3] * m[0][0] + b.m[1][3] * m[0][1] + b.m[2][3] * m[0][2] + b.m[3][3] * m[0][3];
			
			result.m[1][0] = b.m[0][0] * m[1][0] + b.m[1][0] * m[1][1] + b.m[2][0] * m[1][2] + b.m[3][0] * m[1][3];
			result.m[1][1] = b.m[0][1] * m[1][0] + b.m[1][1] * m[1][1] + b.m[2][1] * m[1][2] + b.m[3][1] * m[1][3];
			result.m[1][2] = b.m[0][2] * m[1][0] + b.m[1][2] * m[1][1] + b.m[2][2] * m[1][2] + b.m[3][2] * m[1][3];
			result.m[1][3] = b.m[0][3] * m[1][0] + b.m[1][3] * m[1][1] + b.m[2][3] * m[1][2] + b.m[3][3] * m[1][3];

			result.m[2][0] = b.m[0][0] * m[2][0] + b.m[1][0] * m[2][1] + b.m[2][0] * m[2][2] + b.m[3][0] * m[2][3];
			result.m[2][1] = b.m[0][1] * m[2][0] + b.m[1][1] * m[2][1] + b.m[2][1] * m[2][2] + b.m[3][1] * m[2][3];
			result.m[2][2] = b.m[0][2] * m[2][0] + b.m[1][2] * m[2][1] + b.m[2][2] * m[2][2] + b.m[3][2] * m[2][3];
			result.m[2][3] = b.m[0][3] * m[2][0] + b.m[1][3] * m[2][1] + b.m[2][3] * m[2][2] + b.m[3][3] * m[2][3];

			result.m[3][0] = b.m[0][0] * m[3][0] + b.m[1][0] * m[3][1] + b.m[2][0] * m[3][2] + b.m[3][0] * m[3][3];
			result.m[3][1] = b.m[0][1] * m[3][0] + b.m[1][1] * m[3][1] + b.m[2][1] * m[3][2] + b.m[3][1] * m[3][3];
			result.m[3][2] = b.m[0][2] * m[3][0] + b.m[1][2] * m[3][1] + b.m[2][2] * m[3][2] + b.m[3][2] * m[3][3];
			result.m[3][3] = b.m[0][3] * m[3][0] + b.m[1][3] * m[3][1] + b.m[2][3] * m[3][2] + b.m[3][3] * m[3][3];

			return result;
		}

		static MatrixCollumMajor<T, CollumSize, RowSize, Repeats> Perspective(float fovAngleY, float aspectRatio, float nearZ, float farZ) requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>) {
			MatrixCollumMajor<T, CollumSize, RowSize, Repeats> result;
			float    SinFov;
			float    CosFov;
			XMScalarSinCos(&SinFov, &CosFov, 0.5f * fovAngleY);
		
			float Height = CosFov / SinFov;
			float Width = Height / aspectRatio;
			float fRange = farZ / (nearZ - farZ);
		
			result.m[0][0] = Width;
			result.m[1][0] = 0.0f;
			result.m[2][0] = 0.0f;
			result.m[3][0] = 0.0f;
		
			result.m[0][1] = 0.0f;
			result.m[1][1] = Height;
			result.m[2][1] = 0.0f;
			result.m[3][1] = 0.0f;
		
			result.m[0][2] = 0.0f;
			result.m[1][2] = 0.0f;
			result.m[2][2] = fRange;
			result.m[3][2] = -1.0f;
		
			result.m[0][3] = 0.0f;
			result.m[1][3] = 0.0f;
			result.m[2][3] = fRange * nearZ;
			result.m[3][3] = 0.0f;
			return result;
		}

		static MatrixCollumMajor<T, CollumSize, RowSize, Repeats> Identity() requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>)  {
			return  MatrixCollumMajor<T, CollumSize, RowSize, Repeats>(
				1, 0, 0, 0,
				0, 1, 0, 0,
				0, 0, 1, 0,
				0, 0, 0, 1
			);
		}

		static MatrixCollumMajor<T, CollumSize, RowSize, Repeats> Scaling(float x, float y, float z) requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>)  {
			return  MatrixCollumMajor<T, CollumSize, RowSize, Repeats>(
				x, 0, 0, 0,
				0, y, 0, 0,
				0, 0, z, 0,
				0, 0, 0, 1
			);
		}

		static MatrixCollumMajor<T, CollumSize, RowSize, Repeats> Translation(float x, float y, float z) requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>)  {
			return  MatrixCollumMajor<T, CollumSize, RowSize, Repeats>(
				1, 0, 0, 0,
				0, 1, 0, 0,
				0, 0, 1, 0,
				x, y, z, 1
			);
		}

		static MatrixCollumMajor<T, CollumSize, RowSize, Repeats> Rotation(float Pitch, float Yaw, float Roll) requires(CollumSize == 4 && RowSize == 4 && Repeats == 1 && std::same_as<T, float>)  {
			float cp = cosf(Pitch);
			float sp = sinf(Pitch);
		
			float cy = cosf(Yaw);
			float sy = sinf(Yaw);
		
			float cr = cosf(Roll);
			float sr = sinf(Roll);
		
			MatrixCollumMajor<T, CollumSize, RowSize, Repeats> M;
			M.m[0][0] = cr * cy + sr * sp * sy;
			M.m[1][0] = sr * cp;
			M.m[2][0] = sr * sp * cy - cr * sy;
			M.m[3][0] = 0.0f;
		
			M.m[0][1] = cr * sp * sy - sr * cy;
			M.m[1][1] = cr * cp;
			M.m[2][1] = sr * sy + cr * sp * cy;
			M.m[3][1] = 0.0f;
		
			M.m[0][2] = cp * sy;
			M.m[1][2] = -sp;
			M.m[2][2] = cp * cy;
			M.m[3][2] = 0.0f;
		
			M.m[0][3] = 0.0f;
			M.m[1][3] = 0.0f;
			M.m[2][3] = 0.0f;
			M.m[3][3] = 1.0f;

			return M;
		}
	};
}

template <>
struct std::formatter<Crafter::MatrixCollumMajor<float, 4, 4, 1>> : std::formatter<std::string> {
    auto format(const Crafter::MatrixCollumMajor<float, 4, 4, 1>& obj, format_context& ctx) const {
        return std::formatter<std::string>::format(std::format("{{{}, {}, {}, {}\n{}, {}, {}, {}\n{}, {}, {}, {}\n{}, {}, {}, {}}}", 
			obj.m[0][0], obj.m[1][0], obj.m[2][0], obj.m[3][0], 
			obj.m[0][1], obj.m[1][1], obj.m[2][1], obj.m[3][1], 
			obj.m[0][2], obj.m[1][2], obj.m[2][2], obj.m[3][2], 
			obj.m[0][3], obj.m[1][3], obj.m[2][3], obj.m[3][3]
		), ctx);
    }
};