test_math_mat4f_10_project01.cpp

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/*
 * Author: Sven Gothel <sgothel@jausoft.com>
 * Copyright (c) 2024 Gothel Software e.K.
 *
 * Permission is hereby granted, free of charge, to any person obtaining
 * a copy of this software and associated documentation files (the
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 * 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
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 */
#include <thread>
#include <cassert>
#include <cinttypes>
#include <cstring>
 
#include <jau/test/catch2_ext.hpp>
 
#include <jau/math/util/pmvmat4.hpp>
 
using namespace jau;
using namespace jau::math;
using namespace jau::math::util;
 
/**
 * PMVMatrix w/ separate P + Mv vs Mat4f::mapObjToWin() w/ single PMv
 *
 * Both using same Mat4f::mapObjToWin(..).
 */
TEST_CASE( "Test 01 Project PMVMatrixToMatrix4f", "[project][mat4f][linear_algebra][math]" ) {
    // Simple 10 x 10 view port
    const Recti viewport(0,0,10,10);
 
    Vec3f winA00, winA01, winA10, winA11;
    Vec3f winB00, winB01, winB10, winB11;
 
    PMVMat4f m;
    Mat4f mat4PMv;
    m.getMulPMv(mat4PMv);
    // std::cout << mat4PMv.toString(null, "mat4PMv", "%10.5f"));
 
    m.mapObjToWin(Vec3f(1, 0, 0), viewport, winA00); // separate P + Mv
    std::cout << "A.0.0 - Project 1,0 -->" << winA00 << std::endl;
    Mat4f::mapObjToWin(Vec3f(1, 0, 0), mat4PMv, viewport, winB00); // single PMv
    std::cout << "B.0.0 - Project 1,0 -->" << winB00 << std::endl;
 
    m.mapObjToWin(Vec3f(0, 0, 0), viewport, winA01);
    std::cout << "A.0.1 - Project 0,0 -->" << winA01 << std::endl;
    Mat4f::mapObjToWin(Vec3f(0, 0, 0), mat4PMv, viewport, winB01);
    std::cout << "B.0.1 - Project 0,0 -->" << winB01 << std::endl;
 
    m.orthoP(0, 10, 0, 10, 1, -1);
    std::cout << "MATRIX - Ortho 0,0,10,10 - Locate the origin in the bottom left and scale" << std::endl;
    std::cout << m << std::endl;
    m.getMulPMv(mat4PMv);
    std::cout << mat4PMv.toString("mat4PMv", "%10.5f")  << std::endl;
 
    m.mapObjToWin(Vec3f(1, 0, 0), viewport, winA10);
    std::cout << "A.1.0 - Project 1,0 -->" << winA10 << std::endl;
    Mat4f::mapObjToWin(Vec3f(1, 0, 0), mat4PMv, viewport, winB10);
    std::cout << "B.1.0 - Project 1,0 -->" << winB10 << std::endl;
 
    m.mapObjToWin(Vec3f(0, 0, 0), viewport, winA11);
    std::cout << "A.1.1 - Project 0,0 -->" << winA11 << std::endl;
    Mat4f::mapObjToWin(Vec3f(0, 0, 0), mat4PMv, viewport, winB11);
    std::cout << "B.1.1 - Project 0,0 -->" << winB11 << std::endl;
 
    REQUIRE_MSG("A/B 0.0 Project 1,0 failure", winB00 == winA00);
    REQUIRE_MSG("A/B 0.1 Project 0,0 failure", winB01 == winA01);
    REQUIRE_MSG("A/B 1.0 Project 1,0 failure", winB10 == winA10);
    REQUIRE_MSG("A/B 1.1 Project 0,0 failure", winB11 == winA11);
}
 
/**
 * PMVMatrix vs Mat4f::mapObjToWin(), both w/ separate P + Mv
 *
 * Both using same Mat4f::mapObjToWin().
 */
TEST_CASE( "Test 02 Project PMVMatrixToMatrix4f 2", "[project][mat4f][linear_algebra][math]" ) {
    // Simple 10 x 10 view port
    const Recti viewport(0,0,10,10);
 
    Vec3f winA00, winA01, winA10, winA11;
    Vec3f winB00, winB01, winB10, winB11;
 
    PMVMat4f m;
    Mat4f mat4Mv, mat4P;
 
    float mat4Mv_f16[16];
    float mat4P_f16[16];
 
    m.getMv().get(mat4Mv_f16);
    m.getP().get(mat4P_f16);
 
    std::cout << m.getMv().toString("mat4Mv") << std::endl;
    std::cout << m.getP().toString("mat4P") << std::endl;
    mat4Mv.load( mat4Mv_f16 );
    mat4P.load( mat4P_f16 );
    REQUIRE( Mat4f(mat4Mv_f16) == mat4Mv);
    REQUIRE( Mat4f(mat4P_f16) == mat4P);
    REQUIRE( m.getMv() == mat4Mv);
    REQUIRE( m.getP() == mat4P);
 
    m.mapObjToWin(Vec3f(1, 0, 0), viewport, winA00);
    std::cout << "A.0.0 - Project 1,0 -->" << winA00 << std::endl;
    Mat4f::mapObjToWin(Vec3f(1, 0, 0), mat4Mv, mat4P, viewport, winB00);
    std::cout << "B.0.0 - Project 1,0 -->" << winB00 << std::endl;
 
    m.mapObjToWin(Vec3f(0, 0, 0), viewport, winA01);
    std::cout << "A.0.1 - Project 0,0 -->" << winA01 << std::endl;
    Mat4f::mapObjToWin(Vec3f(0, 0, 0), mat4Mv, mat4P, viewport, winB01);
    std::cout << "B.0.1 - Project 0,0 -->" << winB01 << std::endl;
 
    m.orthoP(0, 10, 0, 10, 1, -1);
    std::cout << "MATRIX - Ortho 0,0,10,10 - Locate the origin in the bottom left and scale" << std::endl;
    std::cout << m << std::endl;
    m.getMv().get(mat4Mv_f16);
    m.getP().get(mat4P_f16);
    std::cout << m.getMv().toString("mat4Mv") << std::endl;
    std::cout << m.getP().toString("mat4P") << std::endl;
    mat4Mv.load( mat4Mv_f16 );
    mat4P.load( mat4P_f16 );
    REQUIRE( Mat4f(mat4Mv_f16) == mat4Mv);
    REQUIRE( Mat4f(mat4P_f16) == mat4P);
    REQUIRE( m.getMv() == mat4Mv);
    REQUIRE( m.getP() == mat4P);
 
    m.mapObjToWin(Vec3f(1, 0, 0), viewport, winA10);
    std::cout << "A.1.0 - Project 1,0 -->" << winA10 << std::endl;
    Mat4f::mapObjToWin(Vec3f(1, 0, 0), mat4Mv, mat4P, viewport, winB10);
    std::cout << "B.1.0 - Project 1,0 -->" << winB10 << std::endl;
 
    m.mapObjToWin(Vec3f(0, 0, 0), viewport, winA11);
    std::cout << "A.1.1 - Project 0,0 -->" << winA11 << std::endl;
    Mat4f::mapObjToWin(Vec3f(0, 0, 0), mat4Mv, mat4P, viewport, winB11);
    std::cout << "B.1.1 - Project 0,0 -->" << winB11 << std::endl;
 
    REQUIRE_MSG("A/B 0.0 Project 1,0 failure", winB00 == winA00);
    REQUIRE_MSG("A/B 0.1 Project 0,0 failure", winB01 == winA01);
    REQUIRE_MSG("A/B 1.0 Project 1,0 failure", winB10 == winA10);
    REQUIRE_MSG("A/B 1.1 Project 0,0 failure", winB11 == winA11);
}
 
TEST_CASE( "Test 10 Project Matrix4f 1", "[project][mat4f][linear_algebra][math]" ) {
    Vec3f winHas;
    Vec2f winExp( 297, 360 );
 
    Recti viewport(0, 0, 1280, 720);
 
    Mat4f mat4Mv ({
            0.40000000596046450000f,    0.00000000000000000000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    0.40000000596046450000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    0.00000000000000000000f,    1.00000000000000000000f,    0.00000000000000000000f,
           -0.09278385341167450000f,   -0.00471283448860049250f,   -0.20000000298023224000f,    1.00000000000000000000f });
 
    Mat4f mat4P ({
            1.35799503326416020000f,    0.00000000000000000000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    2.41421341896057130000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    0.00000000000000000000f,   -1.00002861022949220000f,   -1.00000000000000000000f,
            0.00000000000000000000f,    0.00000000000000000000f,   -0.20000286400318146000f,    0.00000000000000000000f });
 
    Vec3f objPos(0.02945519052445888500f,    0.01178207620978355400f,   -0.00499999988824129100f);
 
    std::cout << "pMv" << std::endl;
    std::cout << mat4Mv.toString("", "%25.20f") << std::endl;
    std::cout << "pP" << std::endl;
    std::cout << mat4P.toString("", "%25.20f") << std::endl;
 
    Mat4f::mapObjToWin(objPos, mat4Mv, mat4P, viewport, winHas);
    std::cout << "B.0.0 - Project 1,0 -->" << winHas << std::endl;
 
    REQUIRE_THAT( winExp.x, Catch::Matchers::WithinAbs(std::round(winHas.x), EPSILON<float>) );
    REQUIRE_THAT( winExp.y, Catch::Matchers::WithinAbs(std::round(winHas.y), EPSILON<float>) );
}
 
TEST_CASE( "Test 11 Project Matrix4f 2", "[project][mat4f][linear_algebra][math]" ) {
    Vec3f winHas;
    Vec2f winExp( 136, 360 );
 
    Recti viewport(0, 0, 1280, 720);
 
    // m30 (row 3, column 0) differs from test01
    Mat4f mat4Mv({
            0.40000000596046450000f,    0.00000000000000000000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    0.40000000596046450000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    0.00000000000000000000f,    1.00000000000000000000f,    0.00000000000000000000f,
           -0.13065303862094880000f,   -0.00471283448860049250f,   -0.20000000298023224000f,    1.00000000000000000000f });
 
    Mat4f mat4P({
            1.35799503326416020000f,    0.00000000000000000000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    2.41421341896057130000f,    0.00000000000000000000f,    0.00000000000000000000f,
            0.00000000000000000000f,    0.00000000000000000000f,   -1.00002861022949220000f,   -1.00000000000000000000f,
            0.00000000000000000000f,    0.00000000000000000000f,   -0.20000286400318146000f,    0.00000000000000000000f });
 
    Vec3f objPos(0.02945519052445888500f,    0.01178207620978355400f,   -0.00499999988824129100f);
 
    std::cout << "pMv" << std::endl;
    std::cout << mat4Mv.toString("", "%25.20ff") << std::endl;
    std::cout << "pP" << std::endl;
    std::cout << mat4P.toString("", "%25.20ff") << std::endl;
 
    Mat4f::mapObjToWin(objPos, mat4Mv, mat4P, viewport, winHas);
    std::cout << "B.0.0 - Project 1,0 -->" << winHas << std::endl;
 
    REQUIRE_THAT( winExp.x, Catch::Matchers::WithinAbs(std::round(winHas.x), EPSILON<float>) );
    REQUIRE_THAT( winExp.y, Catch::Matchers::WithinAbs(std::round(winHas.y), EPSILON<float>) );
}