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/*
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olcPGEX_Graphics3D.h
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+-------------------------------------------------------------+
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| OneLoneCoder Pixel Game Engine Extension |
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| 3D Rendering - v0.1 |
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+-------------------------------------------------------------+
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What is this?
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~~~~~~~~~~~~~
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This is an extension to the olcPixelGameEngine, which provides
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support for software rendering 3D graphics.
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NOTE!!! This file is under development and may change!
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License (OLC-3)
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~~~~~~~~~~~~~~~
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Copyright 2018-2019 OneLoneCoder.com
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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1. Redistributions or derivations of source code must retain the above
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copyright notice, this list of conditions and the following disclaimer.
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2. Redistributions or derivative works in binary form must reproduce
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the above copyright notice. This list of conditions and the following
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disclaimer must be reproduced in the documentation and/or other
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materials provided with the distribution.
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3. Neither the name of the copyright holder nor the names of its
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contributors may be used to endorse or promote products derived
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from this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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Links
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~~~~~
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YouTube: https://www.youtube.com/javidx9
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Discord: https://discord.gg/WhwHUMV
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Twitter: https://www.twitter.com/javidx9
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Twitch: https://www.twitch.tv/javidx9
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GitHub: https://www.github.com/onelonecoder
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Patreon: https://www.patreon.com/javidx9
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Homepage: https://www.onelonecoder.com
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Author
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~~~~~~
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David Barr, aka javidx9, <EFBFBD>OneLoneCoder 2018
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*/
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#ifndef OLC_PGEX_GFX3D
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#define OLC_PGEX_GFX3D
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#include <algorithm>
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#include <vector>
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#include <list>
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#undef min
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#undef max
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namespace olc
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{
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// Container class for Advanced 2D Drawing functions
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class GFX3D : public olc::PGEX
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{
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public:
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struct vec2d
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{
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float x = 0;
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float y = 0;
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float z = 0;
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};
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struct vec3d
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{
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float x = 0;
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float y = 0;
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float z = 0;
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float w = 1; // Need a 4th term to perform sensible matrix vector multiplication
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};
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struct triangle
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{
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vec3d p[3];
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vec2d t[3];
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olc::Pixel col;
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};
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struct mat4x4
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{
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float m[4][4] = { 0 };
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};
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struct mesh
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{
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std::vector<triangle> tris;
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};
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class Math
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{
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public:
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inline Math();
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public:
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inline static vec3d Mat_MultiplyVector(mat4x4 &m, vec3d &i);
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inline static mat4x4 Mat_MultiplyMatrix(mat4x4 &m1, mat4x4 &m2);
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inline static mat4x4 Mat_MakeIdentity();
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inline static mat4x4 Mat_MakeRotationX(float fAngleRad);
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inline static mat4x4 Mat_MakeRotationY(float fAngleRad);
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inline static mat4x4 Mat_MakeRotationZ(float fAngleRad);
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inline static mat4x4 Mat_MakeScale(float x, float y, float z);
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inline static mat4x4 Mat_MakeTranslation(float x, float y, float z);
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inline static mat4x4 Mat_MakeProjection(float fFovDegrees, float fAspectRatio, float fNear, float fFar);
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inline static mat4x4 Mat_PointAt(vec3d &pos, vec3d &target, vec3d &up);
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inline static mat4x4 Mat_QuickInverse(mat4x4 &m); // Only for Rotation/Translation Matrices
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inline static mat4x4 Mat_Inverse(olc::GFX3D::mat4x4 &m);
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inline static vec3d Vec_Add(vec3d &v1, vec3d &v2);
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inline static vec3d Vec_Sub(vec3d &v1, vec3d &v2);
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inline static vec3d Vec_Mul(vec3d &v1, float k);
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inline static vec3d Vec_Div(vec3d &v1, float k);
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inline static float Vec_DotProduct(vec3d &v1, vec3d &v2);
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inline static float Vec_Length(vec3d &v);
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inline static vec3d Vec_Normalise(vec3d &v);
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inline static vec3d Vec_CrossProduct(vec3d &v1, vec3d &v2);
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inline static vec3d Vec_IntersectPlane(vec3d &plane_p, vec3d &plane_n, vec3d &lineStart, vec3d &lineEnd, float &t);
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inline static int Triangle_ClipAgainstPlane(vec3d plane_p, vec3d plane_n, triangle &in_tri, triangle &out_tri1, triangle &out_tri2);
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};
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enum RENDERFLAGS
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{
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RENDER_WIRE = 0x01,
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RENDER_FLAT = 0x02,
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RENDER_TEXTURED = 0x04,
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RENDER_CULL_CW = 0x08,
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RENDER_CULL_CCW = 0x10,
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RENDER_DEPTH = 0x20,
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};
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class PipeLine
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{
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public:
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PipeLine();
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public:
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void SetProjection(float fFovDegrees, float fAspectRatio, float fNear, float fFar, float fLeft, float fTop, float fWidth, float fHeight);
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void SetCamera(olc::GFX3D::vec3d &pos, olc::GFX3D::vec3d &lookat, olc::GFX3D::vec3d &up);
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void SetTransform(olc::GFX3D::mat4x4 &transform);
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void SetTexture(olc::Sprite *texture);
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void SetLightSource(olc::GFX3D::vec3d &pos, olc::GFX3D::vec3d &dir, olc::Pixel &col);
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uint32_t Render(std::vector<olc::GFX3D::triangle> &triangles, uint32_t flags = RENDER_CULL_CW | RENDER_TEXTURED | RENDER_DEPTH);
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private:
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olc::GFX3D::mat4x4 matProj;
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olc::GFX3D::mat4x4 matView;
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olc::GFX3D::mat4x4 matWorld;
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olc::Sprite *sprTexture;
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float fViewX;
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float fViewY;
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float fViewW;
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float fViewH;
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};
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public:
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//static const int RF_TEXTURE = 0x00000001;
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//static const int RF_ = 0x00000002;
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inline static void ConfigureDisplay();
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inline static void ClearDepth();
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inline static void AddTriangleToScene(olc::GFX3D::triangle &tri);
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inline static void RenderScene();
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inline static void DrawTriangleFlat(olc::GFX3D::triangle &tri);
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inline static void DrawTriangleWire(olc::GFX3D::triangle &tri, olc::Pixel col = olc::WHITE);
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inline static void DrawTriangleTex(olc::GFX3D::triangle &tri, olc::Sprite* spr);
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inline static void TexturedTriangle(int x1, int y1, float u1, float v1, float w1,
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int x2, int y2, float u2, float v2, float w2,
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int x3, int y3, float u3, float v3, float w3, olc::Sprite* spr);
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// Draws a sprite with the transform applied
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//inline static void DrawSprite(olc::Sprite *sprite, olc::GFX2D::Transform2D &transform);
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private:
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static float* m_DepthBuffer;
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};
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}
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namespace olc
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{
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olc::GFX3D::Math::Math()
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{
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}
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olc::GFX3D::vec3d olc::GFX3D::Math::Mat_MultiplyVector(olc::GFX3D::mat4x4 &m, olc::GFX3D::vec3d &i)
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{
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vec3d v;
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v.x = i.x * m.m[0][0] + i.y * m.m[1][0] + i.z * m.m[2][0] + i.w * m.m[3][0];
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v.y = i.x * m.m[0][1] + i.y * m.m[1][1] + i.z * m.m[2][1] + i.w * m.m[3][1];
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v.z = i.x * m.m[0][2] + i.y * m.m[1][2] + i.z * m.m[2][2] + i.w * m.m[3][2];
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v.w = i.x * m.m[0][3] + i.y * m.m[1][3] + i.z * m.m[2][3] + i.w * m.m[3][3];
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return v;
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}
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olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MakeIdentity()
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{
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olc::GFX3D::mat4x4 matrix;
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matrix.m[0][0] = 1.0f;
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matrix.m[1][1] = 1.0f;
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matrix.m[2][2] = 1.0f;
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matrix.m[3][3] = 1.0f;
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return matrix;
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}
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olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MakeRotationX(float fAngleRad)
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{
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olc::GFX3D::mat4x4 matrix;
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matrix.m[0][0] = 1.0f;
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matrix.m[1][1] = cosf(fAngleRad);
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matrix.m[1][2] = sinf(fAngleRad);
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matrix.m[2][1] = -sinf(fAngleRad);
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matrix.m[2][2] = cosf(fAngleRad);
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matrix.m[3][3] = 1.0f;
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return matrix;
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}
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olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MakeRotationY(float fAngleRad)
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{
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olc::GFX3D::mat4x4 matrix;
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matrix.m[0][0] = cosf(fAngleRad);
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matrix.m[0][2] = sinf(fAngleRad);
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matrix.m[2][0] = -sinf(fAngleRad);
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matrix.m[1][1] = 1.0f;
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matrix.m[2][2] = cosf(fAngleRad);
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matrix.m[3][3] = 1.0f;
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return matrix;
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}
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olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MakeRotationZ(float fAngleRad)
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{
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olc::GFX3D::mat4x4 matrix;
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matrix.m[0][0] = cosf(fAngleRad);
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matrix.m[0][1] = sinf(fAngleRad);
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matrix.m[1][0] = -sinf(fAngleRad);
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matrix.m[1][1] = cosf(fAngleRad);
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matrix.m[2][2] = 1.0f;
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matrix.m[3][3] = 1.0f;
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return matrix;
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}
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olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MakeScale(float x, float y, float z)
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{
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olc::GFX3D::mat4x4 matrix;
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matrix.m[0][0] = x;
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matrix.m[1][1] = y;
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matrix.m[2][2] = z;
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matrix.m[3][3] = 1.0f;
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return matrix;
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}
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olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MakeTranslation(float x, float y, float z)
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{
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olc::GFX3D::mat4x4 matrix;
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matrix.m[0][0] = 1.0f;
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matrix.m[1][1] = 1.0f;
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matrix.m[2][2] = 1.0f;
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matrix.m[3][3] = 1.0f;
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matrix.m[3][0] = x;
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matrix.m[3][1] = y;
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matrix.m[3][2] = z;
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return matrix;
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}
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olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MakeProjection(float fFovDegrees, float fAspectRatio, float fNear, float fFar)
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{
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float fFovRad = 1.0f / tanf(fFovDegrees * 0.5f / 180.0f * 3.14159f);
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olc::GFX3D::mat4x4 matrix;
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matrix.m[0][0] = fAspectRatio * fFovRad;
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matrix.m[1][1] = fFovRad;
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matrix.m[2][2] = fFar / (fFar - fNear);
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matrix.m[3][2] = (-fFar * fNear) / (fFar - fNear);
|
|
|
|
|
matrix.m[2][3] = 1.0f;
|
|
|
|
|
matrix.m[3][3] = 0.0f;
|
|
|
|
|
return matrix;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_MultiplyMatrix(olc::GFX3D::mat4x4 &m1, olc::GFX3D::mat4x4 &m2)
|
|
|
|
|
{
|
|
|
|
|
olc::GFX3D::mat4x4 matrix;
|
|
|
|
|
for (int c = 0; c < 4; c++)
|
|
|
|
|
for (int r = 0; r < 4; r++)
|
|
|
|
|
matrix.m[r][c] = m1.m[r][0] * m2.m[0][c] + m1.m[r][1] * m2.m[1][c] + m1.m[r][2] * m2.m[2][c] + m1.m[r][3] * m2.m[3][c];
|
|
|
|
|
return matrix;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_PointAt(olc::GFX3D::vec3d &pos, olc::GFX3D::vec3d &target, olc::GFX3D::vec3d &up)
|
|
|
|
|
{
|
|
|
|
|
// Calculate new forward direction
|
|
|
|
|
olc::GFX3D::vec3d newForward = Vec_Sub(target, pos);
|
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|
|
newForward = Vec_Normalise(newForward);
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|
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|
|
// Calculate new Up direction
|
|
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|
|
olc::GFX3D::vec3d a = Vec_Mul(newForward, Vec_DotProduct(up, newForward));
|
|
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|
|
olc::GFX3D::vec3d newUp = Vec_Sub(up, a);
|
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|
|
newUp = Vec_Normalise(newUp);
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|
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|
|
// New Right direction is easy, its just cross product
|
|
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|
|
olc::GFX3D::vec3d newRight = Vec_CrossProduct(newUp, newForward);
|
|
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|
|
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|
|
// Construct Dimensioning and Translation Matrix
|
|
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|
|
olc::GFX3D::mat4x4 matrix;
|
|
|
|
|
matrix.m[0][0] = newRight.x; matrix.m[0][1] = newRight.y; matrix.m[0][2] = newRight.z; matrix.m[0][3] = 0.0f;
|
|
|
|
|
matrix.m[1][0] = newUp.x; matrix.m[1][1] = newUp.y; matrix.m[1][2] = newUp.z; matrix.m[1][3] = 0.0f;
|
|
|
|
|
matrix.m[2][0] = newForward.x; matrix.m[2][1] = newForward.y; matrix.m[2][2] = newForward.z; matrix.m[2][3] = 0.0f;
|
|
|
|
|
matrix.m[3][0] = pos.x; matrix.m[3][1] = pos.y; matrix.m[3][2] = pos.z; matrix.m[3][3] = 1.0f;
|
|
|
|
|
return matrix;
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_QuickInverse(olc::GFX3D::mat4x4 &m) // Only for Rotation/Translation Matrices
|
|
|
|
|
{
|
|
|
|
|
olc::GFX3D::mat4x4 matrix;
|
|
|
|
|
matrix.m[0][0] = m.m[0][0]; matrix.m[0][1] = m.m[1][0]; matrix.m[0][2] = m.m[2][0]; matrix.m[0][3] = 0.0f;
|
|
|
|
|
matrix.m[1][0] = m.m[0][1]; matrix.m[1][1] = m.m[1][1]; matrix.m[1][2] = m.m[2][1]; matrix.m[1][3] = 0.0f;
|
|
|
|
|
matrix.m[2][0] = m.m[0][2]; matrix.m[2][1] = m.m[1][2]; matrix.m[2][2] = m.m[2][2]; matrix.m[2][3] = 0.0f;
|
|
|
|
|
matrix.m[3][0] = -(m.m[3][0] * matrix.m[0][0] + m.m[3][1] * matrix.m[1][0] + m.m[3][2] * matrix.m[2][0]);
|
|
|
|
|
matrix.m[3][1] = -(m.m[3][0] * matrix.m[0][1] + m.m[3][1] * matrix.m[1][1] + m.m[3][2] * matrix.m[2][1]);
|
|
|
|
|
matrix.m[3][2] = -(m.m[3][0] * matrix.m[0][2] + m.m[3][1] * matrix.m[1][2] + m.m[3][2] * matrix.m[2][2]);
|
|
|
|
|
matrix.m[3][3] = 1.0f;
|
|
|
|
|
return matrix;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::mat4x4 olc::GFX3D::Math::Mat_Inverse(olc::GFX3D::mat4x4 &m)
|
|
|
|
|
{
|
|
|
|
|
double det;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mat4x4 matInv;
|
|
|
|
|
|
|
|
|
|
matInv.m[0][0] = m.m[1][1] * m.m[2][2] * m.m[3][3] - m.m[1][1] * m.m[2][3] * m.m[3][2] - m.m[2][1] * m.m[1][2] * m.m[3][3] + m.m[2][1] * m.m[1][3] * m.m[3][2] + m.m[3][1] * m.m[1][2] * m.m[2][3] - m.m[3][1] * m.m[1][3] * m.m[2][2];
|
|
|
|
|
matInv.m[1][0] = -m.m[1][0] * m.m[2][2] * m.m[3][3] + m.m[1][0] * m.m[2][3] * m.m[3][2] + m.m[2][0] * m.m[1][2] * m.m[3][3] - m.m[2][0] * m.m[1][3] * m.m[3][2] - m.m[3][0] * m.m[1][2] * m.m[2][3] + m.m[3][0] * m.m[1][3] * m.m[2][2];
|
|
|
|
|
matInv.m[2][0] = m.m[1][0] * m.m[2][1] * m.m[3][3] - m.m[1][0] * m.m[2][3] * m.m[3][1] - m.m[2][0] * m.m[1][1] * m.m[3][3] + m.m[2][0] * m.m[1][3] * m.m[3][1] + m.m[3][0] * m.m[1][1] * m.m[2][3] - m.m[3][0] * m.m[1][3] * m.m[2][1];
|
|
|
|
|
matInv.m[3][0] = -m.m[1][0] * m.m[2][1] * m.m[3][2] + m.m[1][0] * m.m[2][2] * m.m[3][1] + m.m[2][0] * m.m[1][1] * m.m[3][2] - m.m[2][0] * m.m[1][2] * m.m[3][1] - m.m[3][0] * m.m[1][1] * m.m[2][2] + m.m[3][0] * m.m[1][2] * m.m[2][1];
|
|
|
|
|
matInv.m[0][1] = -m.m[0][1] * m.m[2][2] * m.m[3][3] + m.m[0][1] * m.m[2][3] * m.m[3][2] + m.m[2][1] * m.m[0][2] * m.m[3][3] - m.m[2][1] * m.m[0][3] * m.m[3][2] - m.m[3][1] * m.m[0][2] * m.m[2][3] + m.m[3][1] * m.m[0][3] * m.m[2][2];
|
|
|
|
|
matInv.m[1][1] = m.m[0][0] * m.m[2][2] * m.m[3][3] - m.m[0][0] * m.m[2][3] * m.m[3][2] - m.m[2][0] * m.m[0][2] * m.m[3][3] + m.m[2][0] * m.m[0][3] * m.m[3][2] + m.m[3][0] * m.m[0][2] * m.m[2][3] - m.m[3][0] * m.m[0][3] * m.m[2][2];
|
|
|
|
|
matInv.m[2][1] = -m.m[0][0] * m.m[2][1] * m.m[3][3] + m.m[0][0] * m.m[2][3] * m.m[3][1] + m.m[2][0] * m.m[0][1] * m.m[3][3] - m.m[2][0] * m.m[0][3] * m.m[3][1] - m.m[3][0] * m.m[0][1] * m.m[2][3] + m.m[3][0] * m.m[0][3] * m.m[2][1];
|
|
|
|
|
matInv.m[3][1] = m.m[0][0] * m.m[2][1] * m.m[3][2] - m.m[0][0] * m.m[2][2] * m.m[3][1] - m.m[2][0] * m.m[0][1] * m.m[3][2] + m.m[2][0] * m.m[0][2] * m.m[3][1] + m.m[3][0] * m.m[0][1] * m.m[2][2] - m.m[3][0] * m.m[0][2] * m.m[2][1];
|
|
|
|
|
matInv.m[0][2] = m.m[0][1] * m.m[1][2] * m.m[3][3] - m.m[0][1] * m.m[1][3] * m.m[3][2] - m.m[1][1] * m.m[0][2] * m.m[3][3] + m.m[1][1] * m.m[0][3] * m.m[3][2] + m.m[3][1] * m.m[0][2] * m.m[1][3] - m.m[3][1] * m.m[0][3] * m.m[1][2];
|
|
|
|
|
matInv.m[1][2] = -m.m[0][0] * m.m[1][2] * m.m[3][3] + m.m[0][0] * m.m[1][3] * m.m[3][2] + m.m[1][0] * m.m[0][2] * m.m[3][3] - m.m[1][0] * m.m[0][3] * m.m[3][2] - m.m[3][0] * m.m[0][2] * m.m[1][3] + m.m[3][0] * m.m[0][3] * m.m[1][2];
|
|
|
|
|
matInv.m[2][2] = m.m[0][0] * m.m[1][1] * m.m[3][3] - m.m[0][0] * m.m[1][3] * m.m[3][1] - m.m[1][0] * m.m[0][1] * m.m[3][3] + m.m[1][0] * m.m[0][3] * m.m[3][1] + m.m[3][0] * m.m[0][1] * m.m[1][3] - m.m[3][0] * m.m[0][3] * m.m[1][1];
|
|
|
|
|
matInv.m[3][2] = -m.m[0][0] * m.m[1][1] * m.m[3][2] + m.m[0][0] * m.m[1][2] * m.m[3][1] + m.m[1][0] * m.m[0][1] * m.m[3][2] - m.m[1][0] * m.m[0][2] * m.m[3][1] - m.m[3][0] * m.m[0][1] * m.m[1][2] + m.m[3][0] * m.m[0][2] * m.m[1][1];
|
|
|
|
|
matInv.m[0][3] = -m.m[0][1] * m.m[1][2] * m.m[2][3] + m.m[0][1] * m.m[1][3] * m.m[2][2] + m.m[1][1] * m.m[0][2] * m.m[2][3] - m.m[1][1] * m.m[0][3] * m.m[2][2] - m.m[2][1] * m.m[0][2] * m.m[1][3] + m.m[2][1] * m.m[0][3] * m.m[1][2];
|
|
|
|
|
matInv.m[1][3] = m.m[0][0] * m.m[1][2] * m.m[2][3] - m.m[0][0] * m.m[1][3] * m.m[2][2] - m.m[1][0] * m.m[0][2] * m.m[2][3] + m.m[1][0] * m.m[0][3] * m.m[2][2] + m.m[2][0] * m.m[0][2] * m.m[1][3] - m.m[2][0] * m.m[0][3] * m.m[1][2];
|
|
|
|
|
matInv.m[2][3] = -m.m[0][0] * m.m[1][1] * m.m[2][3] + m.m[0][0] * m.m[1][3] * m.m[2][1] + m.m[1][0] * m.m[0][1] * m.m[2][3] - m.m[1][0] * m.m[0][3] * m.m[2][1] - m.m[2][0] * m.m[0][1] * m.m[1][3] + m.m[2][0] * m.m[0][3] * m.m[1][1];
|
|
|
|
|
matInv.m[3][3] = m.m[0][0] * m.m[1][1] * m.m[2][2] - m.m[0][0] * m.m[1][2] * m.m[2][1] - m.m[1][0] * m.m[0][1] * m.m[2][2] + m.m[1][0] * m.m[0][2] * m.m[2][1] + m.m[2][0] * m.m[0][1] * m.m[1][2] - m.m[2][0] * m.m[0][2] * m.m[1][1];
|
|
|
|
|
|
|
|
|
|
det = m.m[0][0] * matInv.m[0][0] + m.m[0][1] * matInv.m[1][0] + m.m[0][2] * matInv.m[2][0] + m.m[0][3] * matInv.m[3][0];
|
|
|
|
|
// if (det == 0) return false;
|
|
|
|
|
|
|
|
|
|
det = 1.0 / det;
|
|
|
|
|
|
|
|
|
|
for (int i = 0; i < 4; i++)
|
|
|
|
|
for (int j = 0; j < 4; j++)
|
|
|
|
|
matInv.m[i][j] *= (float)det;
|
|
|
|
|
|
|
|
|
|
return matInv;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::vec3d olc::GFX3D::Math::Vec_Add(olc::GFX3D::vec3d &v1, olc::GFX3D::vec3d &v2)
|
|
|
|
|
{
|
|
|
|
|
return { v1.x + v2.x, v1.y + v2.y, v1.z + v2.z };
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::vec3d olc::GFX3D::Math::Vec_Sub(olc::GFX3D::vec3d &v1, olc::GFX3D::vec3d &v2)
|
|
|
|
|
{
|
|
|
|
|
return { v1.x - v2.x, v1.y - v2.y, v1.z - v2.z };
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::vec3d olc::GFX3D::Math::Vec_Mul(olc::GFX3D::vec3d &v1, float k)
|
|
|
|
|
{
|
|
|
|
|
return { v1.x * k, v1.y * k, v1.z * k };
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::vec3d olc::GFX3D::Math::Vec_Div(olc::GFX3D::vec3d &v1, float k)
|
|
|
|
|
{
|
|
|
|
|
return { v1.x / k, v1.y / k, v1.z / k };
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
float olc::GFX3D::Math::Vec_DotProduct(olc::GFX3D::vec3d &v1, olc::GFX3D::vec3d &v2)
|
|
|
|
|
{
|
|
|
|
|
return v1.x*v2.x + v1.y*v2.y + v1.z * v2.z;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
float olc::GFX3D::Math::Vec_Length(olc::GFX3D::vec3d &v)
|
|
|
|
|
{
|
|
|
|
|
return sqrtf(Vec_DotProduct(v, v));
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::vec3d olc::GFX3D::Math::Vec_Normalise(olc::GFX3D::vec3d &v)
|
|
|
|
|
{
|
|
|
|
|
float l = Vec_Length(v);
|
|
|
|
|
return { v.x / l, v.y / l, v.z / l };
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::vec3d olc::GFX3D::Math::Vec_CrossProduct(olc::GFX3D::vec3d &v1, olc::GFX3D::vec3d &v2)
|
|
|
|
|
{
|
|
|
|
|
vec3d v;
|
|
|
|
|
v.x = v1.y * v2.z - v1.z * v2.y;
|
|
|
|
|
v.y = v1.z * v2.x - v1.x * v2.z;
|
|
|
|
|
v.z = v1.x * v2.y - v1.y * v2.x;
|
|
|
|
|
return v;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
olc::GFX3D::vec3d olc::GFX3D::Math::Vec_IntersectPlane(olc::GFX3D::vec3d &plane_p, olc::GFX3D::vec3d &plane_n, olc::GFX3D::vec3d &lineStart, olc::GFX3D::vec3d &lineEnd, float &t)
|
|
|
|
|
{
|
|
|
|
|
plane_n = Vec_Normalise(plane_n);
|
|
|
|
|
float plane_d = -Vec_DotProduct(plane_n, plane_p);
|
|
|
|
|
float ad = Vec_DotProduct(lineStart, plane_n);
|
|
|
|
|
float bd = Vec_DotProduct(lineEnd, plane_n);
|
|
|
|
|
t = (-plane_d - ad) / (bd - ad);
|
|
|
|
|
olc::GFX3D::vec3d lineStartToEnd = Vec_Sub(lineEnd, lineStart);
|
|
|
|
|
olc::GFX3D::vec3d lineToIntersect = Vec_Mul(lineStartToEnd, t);
|
|
|
|
|
return Vec_Add(lineStart, lineToIntersect);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
int olc::GFX3D::Math::Triangle_ClipAgainstPlane(vec3d plane_p, vec3d plane_n, triangle &in_tri, triangle &out_tri1, triangle &out_tri2)
|
|
|
|
|
{
|
|
|
|
|
// Make sure plane normal is indeed normal
|
|
|
|
|
plane_n = Math::Vec_Normalise(plane_n);
|
|
|
|
|
|
|
|
|
|
out_tri1.t[0] = in_tri.t[0];
|
|
|
|
|
out_tri2.t[0] = in_tri.t[0];
|
|
|
|
|
out_tri1.t[1] = in_tri.t[1];
|
|
|
|
|
out_tri2.t[1] = in_tri.t[1];
|
|
|
|
|
out_tri1.t[2] = in_tri.t[2];
|
|
|
|
|
out_tri2.t[2] = in_tri.t[2];
|
|
|
|
|
|
|
|
|
|
// Return signed shortest distance from point to plane, plane normal must be normalised
|
|
|
|
|
auto dist = [&](vec3d &p)
|
|
|
|
|
{
|
|
|
|
|
vec3d n = Math::Vec_Normalise(p);
|
|
|
|
|
return (plane_n.x * p.x + plane_n.y * p.y + plane_n.z * p.z - Math::Vec_DotProduct(plane_n, plane_p));
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
// Create two temporary storage arrays to classify points either side of plane
|
|
|
|
|
// If distance sign is positive, point lies on "inside" of plane
|
|
|
|
|
vec3d* inside_points[3]; int nInsidePointCount = 0;
|
|
|
|
|
vec3d* outside_points[3]; int nOutsidePointCount = 0;
|
|
|
|
|
vec2d* inside_tex[3]; int nInsideTexCount = 0;
|
|
|
|
|
vec2d* outside_tex[3]; int nOutsideTexCount = 0;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
// Get signed distance of each point in triangle to plane
|
|
|
|
|
float d0 = dist(in_tri.p[0]);
|
|
|
|
|
float d1 = dist(in_tri.p[1]);
|
|
|
|
|
float d2 = dist(in_tri.p[2]);
|
|
|
|
|
|
|
|
|
|
if (d0 >= 0) { inside_points[nInsidePointCount++] = &in_tri.p[0]; inside_tex[nInsideTexCount++] = &in_tri.t[0]; }
|
|
|
|
|
else {
|
|
|
|
|
outside_points[nOutsidePointCount++] = &in_tri.p[0]; outside_tex[nOutsideTexCount++] = &in_tri.t[0];
|
|
|
|
|
}
|
|
|
|
|
if (d1 >= 0) {
|
|
|
|
|
inside_points[nInsidePointCount++] = &in_tri.p[1]; inside_tex[nInsideTexCount++] = &in_tri.t[1];
|
|
|
|
|
}
|
|
|
|
|
else {
|
|
|
|
|
outside_points[nOutsidePointCount++] = &in_tri.p[1]; outside_tex[nOutsideTexCount++] = &in_tri.t[1];
|
|
|
|
|
}
|
|
|
|
|
if (d2 >= 0) {
|
|
|
|
|
inside_points[nInsidePointCount++] = &in_tri.p[2]; inside_tex[nInsideTexCount++] = &in_tri.t[2];
|
|
|
|
|
}
|
|
|
|
|
else {
|
|
|
|
|
outside_points[nOutsidePointCount++] = &in_tri.p[2]; outside_tex[nOutsideTexCount++] = &in_tri.t[2];
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Now classify triangle points, and break the input triangle into
|
|
|
|
|
// smaller output triangles if required. There are four possible
|
|
|
|
|
// outcomes...
|
|
|
|
|
|
|
|
|
|
if (nInsidePointCount == 0)
|
|
|
|
|
{
|
|
|
|
|
// All points lie on the outside of plane, so clip whole triangle
|
|
|
|
|
// It ceases to exist
|
|
|
|
|
|
|
|
|
|
return 0; // No returned triangles are valid
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (nInsidePointCount == 3)
|
|
|
|
|
{
|
|
|
|
|
// All points lie on the inside of plane, so do nothing
|
|
|
|
|
// and allow the triangle to simply pass through
|
|
|
|
|
out_tri1 = in_tri;
|
|
|
|
|
|
|
|
|
|
return 1; // Just the one returned original triangle is valid
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (nInsidePointCount == 1 && nOutsidePointCount == 2)
|
|
|
|
|
{
|
|
|
|
|
// Triangle should be clipped. As two points lie outside
|
|
|
|
|
// the plane, the triangle simply becomes a smaller triangle
|
|
|
|
|
|
|
|
|
|
// Copy appearance info to new triangle
|
|
|
|
|
out_tri1.col = olc::MAGENTA;// in_tri.col;
|
|
|
|
|
|
|
|
|
|
// The inside point is valid, so keep that...
|
|
|
|
|
out_tri1.p[0] = *inside_points[0];
|
|
|
|
|
out_tri1.t[0] = *inside_tex[0];
|
|
|
|
|
|
|
|
|
|
// but the two new points are at the locations where the
|
|
|
|
|
// original sides of the triangle (lines) intersect with the plane
|
|
|
|
|
float t;
|
|
|
|
|
out_tri1.p[1] = Math::Vec_IntersectPlane(plane_p, plane_n, *inside_points[0], *outside_points[0], t);
|
|
|
|
|
out_tri1.t[1].x = t * (outside_tex[0]->x - inside_tex[0]->x) + inside_tex[0]->x;
|
|
|
|
|
out_tri1.t[1].y = t * (outside_tex[0]->y - inside_tex[0]->y) + inside_tex[0]->y;
|
|
|
|
|
out_tri1.t[1].z = t * (outside_tex[0]->z - inside_tex[0]->z) + inside_tex[0]->z;
|
|
|
|
|
|
|
|
|
|
out_tri1.p[2] = Math::Vec_IntersectPlane(plane_p, plane_n, *inside_points[0], *outside_points[1], t);
|
|
|
|
|
out_tri1.t[2].x = t * (outside_tex[1]->x - inside_tex[0]->x) + inside_tex[0]->x;
|
|
|
|
|
out_tri1.t[2].y = t * (outside_tex[1]->y - inside_tex[0]->y) + inside_tex[0]->y;
|
|
|
|
|
out_tri1.t[2].z = t * (outside_tex[1]->z - inside_tex[0]->z) + inside_tex[0]->z;
|
|
|
|
|
|
|
|
|
|
return 1; // Return the newly formed single triangle
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (nInsidePointCount == 2 && nOutsidePointCount == 1)
|
|
|
|
|
{
|
|
|
|
|
// Triangle should be clipped. As two points lie inside the plane,
|
|
|
|
|
// the clipped triangle becomes a "quad". Fortunately, we can
|
|
|
|
|
// represent a quad with two new triangles
|
|
|
|
|
|
|
|
|
|
// Copy appearance info to new triangles
|
|
|
|
|
out_tri1.col = olc::GREEN;// in_tri.col;
|
|
|
|
|
out_tri2.col = olc::RED;// in_tri.col;
|
|
|
|
|
|
|
|
|
|
// The first triangle consists of the two inside points and a new
|
|
|
|
|
// point determined by the location where one side of the triangle
|
|
|
|
|
// intersects with the plane
|
|
|
|
|
out_tri1.p[0] = *inside_points[0];
|
|
|
|
|
out_tri1.t[0] = *inside_tex[0];
|
|
|
|
|
|
|
|
|
|
out_tri1.p[1] = *inside_points[1];
|
|
|
|
|
out_tri1.t[1] = *inside_tex[1];
|
|
|
|
|
|
|
|
|
|
float t;
|
|
|
|
|
out_tri1.p[2] = Math::Vec_IntersectPlane(plane_p, plane_n, *inside_points[0], *outside_points[0], t);
|
|
|
|
|
out_tri1.t[2].x = t * (outside_tex[0]->x - inside_tex[0]->x) + inside_tex[0]->x;
|
|
|
|
|
out_tri1.t[2].y = t * (outside_tex[0]->y - inside_tex[0]->y) + inside_tex[0]->y;
|
|
|
|
|
out_tri1.t[2].z = t * (outside_tex[0]->z - inside_tex[0]->z) + inside_tex[0]->z;
|
|
|
|
|
|
|
|
|
|
// The second triangle is composed of one of he inside points, a
|
|
|
|
|
// new point determined by the intersection of the other side of the
|
|
|
|
|
// triangle and the plane, and the newly created point above
|
|
|
|
|
out_tri2.p[1] = *inside_points[1];
|
|
|
|
|
out_tri2.t[1] = *inside_tex[1];
|
|
|
|
|
out_tri2.p[0] = out_tri1.p[2];
|
|
|
|
|
out_tri2.t[0] = out_tri1.t[2];
|
|
|
|
|
out_tri2.p[2] = Math::Vec_IntersectPlane(plane_p, plane_n, *inside_points[1], *outside_points[0], t);
|
|
|
|
|
out_tri2.t[2].x = t * (outside_tex[0]->x - inside_tex[1]->x) + inside_tex[1]->x;
|
|
|
|
|
out_tri2.t[2].y = t * (outside_tex[0]->y - inside_tex[1]->y) + inside_tex[1]->y;
|
|
|
|
|
out_tri2.t[2].z = t * (outside_tex[0]->z - inside_tex[1]->z) + inside_tex[1]->z;
|
|
|
|
|
return 2; // Return two newly formed triangles which form a quad
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::DrawTriangleFlat(olc::GFX3D::triangle &tri)
|
|
|
|
|
{
|
|
|
|
|
pge->FillTriangle(tri.p[0].x, tri.p[0].y, tri.p[1].x, tri.p[1].y, tri.p[2].x, tri.p[2].y, tri.col);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::DrawTriangleWire(olc::GFX3D::triangle &tri, olc::Pixel col)
|
|
|
|
|
{
|
|
|
|
|
pge->DrawTriangle(tri.p[0].x, tri.p[0].y, tri.p[1].x, tri.p[1].y, tri.p[2].x, tri.p[2].y, col);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::TexturedTriangle(int x1, int y1, float u1, float v1, float w1,
|
|
|
|
|
int x2, int y2, float u2, float v2, float w2,
|
|
|
|
|
int x3, int y3, float u3, float v3, float w3, olc::Sprite* spr)
|
|
|
|
|
|
|
|
|
|
{
|
|
|
|
|
if (y2 < y1)
|
|
|
|
|
{
|
|
|
|
|
std::swap(y1, y2);
|
|
|
|
|
std::swap(x1, x2);
|
|
|
|
|
std::swap(u1, u2);
|
|
|
|
|
std::swap(v1, v2);
|
|
|
|
|
std::swap(w1, w2);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (y3 < y1)
|
|
|
|
|
{
|
|
|
|
|
std::swap(y1, y3);
|
|
|
|
|
std::swap(x1, x3);
|
|
|
|
|
std::swap(u1, u3);
|
|
|
|
|
std::swap(v1, v3);
|
|
|
|
|
std::swap(w1, w3);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (y3 < y2)
|
|
|
|
|
{
|
|
|
|
|
std::swap(y2, y3);
|
|
|
|
|
std::swap(x2, x3);
|
|
|
|
|
std::swap(u2, u3);
|
|
|
|
|
std::swap(v2, v3);
|
|
|
|
|
std::swap(w2, w3);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
int dy1 = y2 - y1;
|
|
|
|
|
int dx1 = x2 - x1;
|
|
|
|
|
float dv1 = v2 - v1;
|
|
|
|
|
float du1 = u2 - u1;
|
|
|
|
|
float dw1 = w2 - w1;
|
|
|
|
|
|
|
|
|
|
int dy2 = y3 - y1;
|
|
|
|
|
int dx2 = x3 - x1;
|
|
|
|
|
float dv2 = v3 - v1;
|
|
|
|
|
float du2 = u3 - u1;
|
|
|
|
|
float dw2 = w3 - w1;
|
|
|
|
|
|
|
|
|
|
float tex_u, tex_v, tex_w;
|
|
|
|
|
|
|
|
|
|
float dax_step = 0, dbx_step = 0,
|
|
|
|
|
du1_step = 0, dv1_step = 0,
|
|
|
|
|
du2_step = 0, dv2_step = 0,
|
|
|
|
|
dw1_step = 0, dw2_step = 0;
|
|
|
|
|
|
|
|
|
|
if (dy1) dax_step = dx1 / (float)abs(dy1);
|
|
|
|
|
if (dy2) dbx_step = dx2 / (float)abs(dy2);
|
|
|
|
|
|
|
|
|
|
if (dy1) du1_step = du1 / (float)abs(dy1);
|
|
|
|
|
if (dy1) dv1_step = dv1 / (float)abs(dy1);
|
|
|
|
|
if (dy1) dw1_step = dw1 / (float)abs(dy1);
|
|
|
|
|
|
|
|
|
|
if (dy2) du2_step = du2 / (float)abs(dy2);
|
|
|
|
|
if (dy2) dv2_step = dv2 / (float)abs(dy2);
|
|
|
|
|
if (dy2) dw2_step = dw2 / (float)abs(dy2);
|
|
|
|
|
|
|
|
|
|
if (dy1)
|
|
|
|
|
{
|
|
|
|
|
for (int i = y1; i <= y2; i++)
|
|
|
|
|
{
|
|
|
|
|
int ax = x1 + (float)(i - y1) * dax_step;
|
|
|
|
|
int bx = x1 + (float)(i - y1) * dbx_step;
|
|
|
|
|
|
|
|
|
|
float tex_su = u1 + (float)(i - y1) * du1_step;
|
|
|
|
|
float tex_sv = v1 + (float)(i - y1) * dv1_step;
|
|
|
|
|
float tex_sw = w1 + (float)(i - y1) * dw1_step;
|
|
|
|
|
|
|
|
|
|
float tex_eu = u1 + (float)(i - y1) * du2_step;
|
|
|
|
|
float tex_ev = v1 + (float)(i - y1) * dv2_step;
|
|
|
|
|
float tex_ew = w1 + (float)(i - y1) * dw2_step;
|
|
|
|
|
|
|
|
|
|
if (ax > bx)
|
|
|
|
|
{
|
|
|
|
|
std::swap(ax, bx);
|
|
|
|
|
std::swap(tex_su, tex_eu);
|
|
|
|
|
std::swap(tex_sv, tex_ev);
|
|
|
|
|
std::swap(tex_sw, tex_ew);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
tex_u = tex_su;
|
|
|
|
|
tex_v = tex_sv;
|
|
|
|
|
tex_w = tex_sw;
|
|
|
|
|
|
|
|
|
|
float tstep = 1.0f / ((float)(bx - ax));
|
|
|
|
|
float t = 0.0f;
|
|
|
|
|
|
|
|
|
|
for (int j = ax; j < bx; j++)
|
|
|
|
|
{
|
|
|
|
|
tex_u = (1.0f - t) * tex_su + t * tex_eu;
|
|
|
|
|
tex_v = (1.0f - t) * tex_sv + t * tex_ev;
|
|
|
|
|
tex_w = (1.0f - t) * tex_sw + t * tex_ew;
|
|
|
|
|
if (tex_w > m_DepthBuffer[i*pge->ScreenWidth() + j])
|
|
|
|
|
{
|
|
|
|
|
pge->Draw(j, i, spr->Sample(tex_u / tex_w, tex_v / tex_w));
|
|
|
|
|
m_DepthBuffer[i*pge->ScreenWidth() + j] = tex_w;
|
|
|
|
|
}
|
|
|
|
|
t += tstep;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
dy1 = y3 - y2;
|
|
|
|
|
dx1 = x3 - x2;
|
|
|
|
|
dv1 = v3 - v2;
|
|
|
|
|
du1 = u3 - u2;
|
|
|
|
|
dw1 = w3 - w2;
|
|
|
|
|
|
|
|
|
|
if (dy1) dax_step = dx1 / (float)abs(dy1);
|
|
|
|
|
if (dy2) dbx_step = dx2 / (float)abs(dy2);
|
|
|
|
|
|
|
|
|
|
du1_step = 0, dv1_step = 0;
|
|
|
|
|
if (dy1) du1_step = du1 / (float)abs(dy1);
|
|
|
|
|
if (dy1) dv1_step = dv1 / (float)abs(dy1);
|
|
|
|
|
if (dy1) dw1_step = dw1 / (float)abs(dy1);
|
|
|
|
|
|
|
|
|
|
if (dy1)
|
|
|
|
|
{
|
|
|
|
|
for (int i = y2; i <= y3; i++)
|
|
|
|
|
{
|
|
|
|
|
int ax = x2 + (float)(i - y2) * dax_step;
|
|
|
|
|
int bx = x1 + (float)(i - y1) * dbx_step;
|
|
|
|
|
|
|
|
|
|
float tex_su = u2 + (float)(i - y2) * du1_step;
|
|
|
|
|
float tex_sv = v2 + (float)(i - y2) * dv1_step;
|
|
|
|
|
float tex_sw = w2 + (float)(i - y2) * dw1_step;
|
|
|
|
|
|
|
|
|
|
float tex_eu = u1 + (float)(i - y1) * du2_step;
|
|
|
|
|
float tex_ev = v1 + (float)(i - y1) * dv2_step;
|
|
|
|
|
float tex_ew = w1 + (float)(i - y1) * dw2_step;
|
|
|
|
|
|
|
|
|
|
if (ax > bx)
|
|
|
|
|
{
|
|
|
|
|
std::swap(ax, bx);
|
|
|
|
|
std::swap(tex_su, tex_eu);
|
|
|
|
|
std::swap(tex_sv, tex_ev);
|
|
|
|
|
std::swap(tex_sw, tex_ew);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
tex_u = tex_su;
|
|
|
|
|
tex_v = tex_sv;
|
|
|
|
|
tex_w = tex_sw;
|
|
|
|
|
|
|
|
|
|
float tstep = 1.0f / ((float)(bx - ax));
|
|
|
|
|
float t = 0.0f;
|
|
|
|
|
|
|
|
|
|
for (int j = ax; j < bx; j++)
|
|
|
|
|
{
|
|
|
|
|
tex_u = (1.0f - t) * tex_su + t * tex_eu;
|
|
|
|
|
tex_v = (1.0f - t) * tex_sv + t * tex_ev;
|
|
|
|
|
tex_w = (1.0f - t) * tex_sw + t * tex_ew;
|
|
|
|
|
|
|
|
|
|
if (tex_w > m_DepthBuffer[i*pge->ScreenWidth() + j])
|
|
|
|
|
{
|
|
|
|
|
pge->Draw(j, i, spr->Sample(tex_u / tex_w, tex_v / tex_w));
|
|
|
|
|
m_DepthBuffer[i*pge->ScreenWidth() + j] = tex_w;
|
|
|
|
|
}
|
|
|
|
|
t += tstep;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
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|
|
|
|
}
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|
|
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|
|
|
void GFX3D::DrawTriangleTex(olc::GFX3D::triangle &tri, olc::Sprite* spr)
|
|
|
|
|
{
|
|
|
|
|
if (tri.p[1].y < tri.p[0].y)
|
|
|
|
|
{
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|
|
|
|
std::swap(tri.p[0].y, tri.p[1].y);
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|
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|
std::swap(tri.p[0].x, tri.p[1].x);
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|
std::swap(tri.t[0].x, tri.t[1].x);
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|
std::swap(tri.t[0].y, tri.t[1].y);
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|
std::swap(tri.t[0].z, tri.t[1].z);
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|
}
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|
if (tri.p[2].y < tri.p[0].y)
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|
|
|
{
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|
std::swap(tri.p[0].y, tri.p[2].y);
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|
std::swap(tri.p[0].x, tri.p[2].x);
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std::swap(tri.t[0].x, tri.t[2].x);
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|
std::swap(tri.t[0].y, tri.t[2].y);
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|
std::swap(tri.t[0].z, tri.t[2].z);
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|
}
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|
if (tri.p[2].y < tri.p[1].y)
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|
|
|
{
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|
std::swap(tri.p[1].y, tri.p[2].y);
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|
std::swap(tri.p[1].x, tri.p[2].x);
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|
std::swap(tri.t[1].x, tri.t[2].x);
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std::swap(tri.t[1].y, tri.t[2].y);
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std::swap(tri.t[1].z, tri.t[2].z);
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|
}
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int dy1 = tri.p[1].y - tri.p[0].y;
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int dx1 = tri.p[1].x - tri.p[0].x;
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|
float dv1 = tri.t[1].y - tri.t[0].y;
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|
float du1 = tri.t[1].x - tri.t[0].x;
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|
float dz1 = tri.t[1].z - tri.t[0].z;
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|
int dy2 = tri.p[2].y - tri.p[0].y;
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|
int dx2 = tri.p[2].x - tri.p[0].x;
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|
|
float dv2 = tri.t[2].y - tri.t[0].y;
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|
float du2 = tri.t[2].x - tri.t[0].x;
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|
float dz2 = tri.t[2].z - tri.t[0].z;
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|
|
float tex_x, tex_y, tex_z;
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|
|
float du1_step = 0, dv1_step = 0, du2_step = 0, dv2_step = 0, dz1_step = 0, dz2_step = 0;
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|
|
|
float dax_step = 0, dbx_step = 0;
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|
if (dy1) dax_step = dx1 / (float)abs(dy1);
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|
if (dy2) dbx_step = dx2 / (float)abs(dy2);
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|
|
if (dy1) du1_step = du1 / (float)abs(dy1);
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|
|
|
if (dy1) dv1_step = dv1 / (float)abs(dy1);
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|
|
|
if (dy1) dz1_step = dz1 / (float)abs(dy1);
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|
|
|
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|
|
if (dy2) du2_step = du2 / (float)abs(dy2);
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|
|
if (dy2) dv2_step = dv2 / (float)abs(dy2);
|
|
|
|
|
if (dy2) dz2_step = dz2 / (float)abs(dy2);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (dy1)
|
|
|
|
|
{
|
|
|
|
|
for (int i = tri.p[0].y; i <= tri.p[1].y; i++)
|
|
|
|
|
{
|
|
|
|
|
int ax = tri.p[0].x + (i - tri.p[0].y) * dax_step;
|
|
|
|
|
int bx = tri.p[0].x + (i - tri.p[0].y) * dbx_step;
|
|
|
|
|
|
|
|
|
|
// Start and end points in texture space
|
|
|
|
|
float tex_su = tri.t[0].x + (float)(i - tri.p[0].y) * du1_step;
|
|
|
|
|
float tex_sv = tri.t[0].y + (float)(i - tri.p[0].y) * dv1_step;
|
|
|
|
|
float tex_sz = tri.t[0].z + (float)(i - tri.p[0].y) * dz1_step;
|
|
|
|
|
|
|
|
|
|
float tex_eu = tri.t[0].x + (float)(i - tri.p[0].y) * du2_step;
|
|
|
|
|
float tex_ev = tri.t[0].y + (float)(i - tri.p[0].y) * dv2_step;
|
|
|
|
|
float tex_ez = tri.t[0].z + (float)(i - tri.p[0].y) * dz2_step;
|
|
|
|
|
|
|
|
|
|
if (ax > bx)
|
|
|
|
|
{
|
|
|
|
|
std::swap(ax, bx);
|
|
|
|
|
std::swap(tex_su, tex_eu);
|
|
|
|
|
std::swap(tex_sv, tex_ev);
|
|
|
|
|
std::swap(tex_sz, tex_ez);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
tex_x = tex_su;
|
|
|
|
|
tex_y = tex_sv;
|
|
|
|
|
tex_z = tex_sz;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
float tstep = 1.0f / ((float)(bx - ax));
|
|
|
|
|
float t = 0;
|
|
|
|
|
|
|
|
|
|
for (int j = ax; j < bx; j++)
|
|
|
|
|
{
|
|
|
|
|
tex_x = (1.0f - t) * tex_su + t * tex_eu;
|
|
|
|
|
tex_y = (1.0f - t) * tex_sv + t * tex_ev;
|
|
|
|
|
tex_z = (1.0f - t) * tex_sz + t * tex_ez;
|
|
|
|
|
|
|
|
|
|
if (tex_z > m_DepthBuffer[i*pge->ScreenWidth() + j])
|
|
|
|
|
{
|
|
|
|
|
pge->Draw(j, i, spr->Sample(tex_x / tex_z, tex_y / tex_z));
|
|
|
|
|
m_DepthBuffer[i*pge->ScreenWidth() + j] = tex_z;
|
|
|
|
|
}
|
|
|
|
|
t += tstep;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
dy1 = tri.p[2].y - tri.p[1].y;
|
|
|
|
|
dx1 = tri.p[2].x - tri.p[1].x;
|
|
|
|
|
dv1 = tri.t[2].y - tri.t[1].y;
|
|
|
|
|
du1 = tri.t[2].x - tri.t[1].x;
|
|
|
|
|
dz1 = tri.t[2].z - tri.t[1].z;
|
|
|
|
|
|
|
|
|
|
if (dy1) dax_step = dx1 / (float)abs(dy1);
|
|
|
|
|
if (dy2) dbx_step = dx2 / (float)abs(dy2);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
du1_step = 0, dv1_step = 0;// , dz1_step = 0;// , du2_step = 0, dv2_step = 0;
|
|
|
|
|
if (dy1) du1_step = du1 / (float)abs(dy1);
|
|
|
|
|
if (dy1) dv1_step = dv1 / (float)abs(dy1);
|
|
|
|
|
if (dy1) dz1_step = dz1 / (float)abs(dy1);
|
|
|
|
|
|
|
|
|
|
if (dy1)
|
|
|
|
|
{
|
|
|
|
|
for (int i = tri.p[1].y; i <= tri.p[2].y; i++)
|
|
|
|
|
{
|
|
|
|
|
int ax = tri.p[1].x + (i - tri.p[1].y) * dax_step;
|
|
|
|
|
int bx = tri.p[0].x + (i - tri.p[0].y) * dbx_step;
|
|
|
|
|
|
|
|
|
|
// Start and end points in texture space
|
|
|
|
|
float tex_su = tri.t[1].x + (float)(i - tri.p[1].y) * du1_step;
|
|
|
|
|
float tex_sv = tri.t[1].y + (float)(i - tri.p[1].y) * dv1_step;
|
|
|
|
|
float tex_sz = tri.t[1].z + (float)(i - tri.p[1].y) * dz1_step;
|
|
|
|
|
|
|
|
|
|
float tex_eu = tri.t[0].x + (float)(i - tri.p[0].y) * du2_step;
|
|
|
|
|
float tex_ev = tri.t[0].y + (float)(i - tri.p[0].y) * dv2_step;
|
|
|
|
|
float tex_ez = tri.t[0].z + (float)(i - tri.p[0].y) * dz2_step;
|
|
|
|
|
|
|
|
|
|
if (ax > bx)
|
|
|
|
|
{
|
|
|
|
|
std::swap(ax, bx);
|
|
|
|
|
std::swap(tex_su, tex_eu);
|
|
|
|
|
std::swap(tex_sv, tex_ev);
|
|
|
|
|
std::swap(tex_sz, tex_ez);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
tex_x = tex_su;
|
|
|
|
|
tex_y = tex_sv;
|
|
|
|
|
tex_z = tex_sz;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
float tstep = 1.0f / ((float)(bx - ax));
|
|
|
|
|
float t = 0;
|
|
|
|
|
|
|
|
|
|
for (int j = ax; j < bx; j++)
|
|
|
|
|
{
|
|
|
|
|
tex_x = (1.0f - t) * tex_su + t * tex_eu;
|
|
|
|
|
tex_y = (1.0f - t) * tex_sv + t * tex_ev;
|
|
|
|
|
tex_z = (1.0f - t) * tex_sz + t * tex_ez;
|
|
|
|
|
|
|
|
|
|
if (tex_z > m_DepthBuffer[i*pge->ScreenWidth() + j])
|
|
|
|
|
{
|
|
|
|
|
pge->Draw(j, i, spr->Sample(tex_x / tex_z, tex_y / tex_z));
|
|
|
|
|
m_DepthBuffer[i*pge->ScreenWidth() + j] = tex_z;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
t += tstep;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
float* GFX3D::m_DepthBuffer = nullptr;
|
|
|
|
|
|
|
|
|
|
void GFX3D::ConfigureDisplay()
|
|
|
|
|
{
|
|
|
|
|
m_DepthBuffer = new float[pge->ScreenWidth() * pge->ScreenHeight()]{ 0 };
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void GFX3D::ClearDepth()
|
|
|
|
|
{
|
|
|
|
|
memset(m_DepthBuffer, 0, pge->ScreenWidth() * pge->ScreenHeight() * sizeof(float));
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
GFX3D::PipeLine::PipeLine()
|
|
|
|
|
{
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::PipeLine::SetProjection(float fFovDegrees, float fAspectRatio, float fNear, float fFar, float fLeft, float fTop, float fWidth, float fHeight)
|
|
|
|
|
{
|
|
|
|
|
matProj = GFX3D::Math::Mat_MakeProjection(fFovDegrees, fAspectRatio, fNear, fFar);
|
|
|
|
|
fViewX = fLeft;
|
|
|
|
|
fViewY = fTop;
|
|
|
|
|
fViewW = fWidth;
|
|
|
|
|
fViewH = fHeight;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::PipeLine::SetCamera(olc::GFX3D::vec3d &pos, olc::GFX3D::vec3d &lookat, olc::GFX3D::vec3d &up)
|
|
|
|
|
{
|
|
|
|
|
matView = GFX3D::Math::Mat_PointAt(pos, lookat, up);
|
|
|
|
|
matView = GFX3D::Math::Mat_QuickInverse(matView);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::PipeLine::SetTransform(olc::GFX3D::mat4x4 &transform)
|
|
|
|
|
{
|
|
|
|
|
matWorld = transform;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::PipeLine::SetTexture(olc::Sprite *texture)
|
|
|
|
|
{
|
|
|
|
|
sprTexture = texture;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void GFX3D::PipeLine::SetLightSource(olc::GFX3D::vec3d &pos, olc::GFX3D::vec3d &dir, olc::Pixel &col)
|
|
|
|
|
{
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
uint32_t GFX3D::PipeLine::Render(std::vector<olc::GFX3D::triangle> &triangles, uint32_t flags)
|
|
|
|
|
{
|
|
|
|
|
// Calculate Transformation Matrix
|
|
|
|
|
mat4x4 matWorldView = Math::Mat_MultiplyMatrix(matWorld, matView);
|
|
|
|
|
//matWorldViewProj = Math::Mat_MultiplyMatrix(matWorldView, matProj);
|
|
|
|
|
|
|
|
|
|
// Store triangles for rastering later
|
|
|
|
|
std::vector<GFX3D::triangle> vecTrianglesToRaster;
|
|
|
|
|
|
|
|
|
|
int nTriangleDrawnCount = 0;
|
|
|
|
|
|
|
|
|
|
// Process Triangles
|
|
|
|
|
for (auto &tri : triangles)
|
|
|
|
|
{
|
|
|
|
|
GFX3D::triangle triTransformed;
|
|
|
|
|
|
|
|
|
|
// Just copy through texture coordinates
|
|
|
|
|
triTransformed.t[0] = { tri.t[0].x, tri.t[0].y, tri.t[0].z };
|
|
|
|
|
triTransformed.t[1] = { tri.t[1].x, tri.t[1].y, tri.t[1].z };
|
|
|
|
|
triTransformed.t[2] = { tri.t[2].x, tri.t[2].y, tri.t[2].z }; // Think!
|
|
|
|
|
|
|
|
|
|
// Transform Triangle from object into projected space
|
|
|
|
|
triTransformed.p[0] = GFX3D::Math::Mat_MultiplyVector(matWorldView, tri.p[0]);
|
|
|
|
|
triTransformed.p[1] = GFX3D::Math::Mat_MultiplyVector(matWorldView, tri.p[1]);
|
|
|
|
|
triTransformed.p[2] = GFX3D::Math::Mat_MultiplyVector(matWorldView, tri.p[2]);
|
|
|
|
|
|
|
|
|
|
// Calculate Triangle Normal in WorldView Space
|
|
|
|
|
GFX3D::vec3d normal, line1, line2;
|
|
|
|
|
line1 = GFX3D::Math::Vec_Sub(triTransformed.p[1], triTransformed.p[0]);
|
|
|
|
|
line2 = GFX3D::Math::Vec_Sub(triTransformed.p[2], triTransformed.p[0]);
|
|
|
|
|
normal = GFX3D::Math::Vec_CrossProduct(line1, line2);
|
|
|
|
|
normal = GFX3D::Math::Vec_Normalise(normal);
|
|
|
|
|
|
|
|
|
|
// Cull triangles that face away from viewer
|
|
|
|
|
if (flags & RENDER_CULL_CW && GFX3D::Math::Vec_DotProduct(normal, triTransformed.p[0]) > 0.0f) continue;
|
|
|
|
|
if (flags & RENDER_CULL_CCW && GFX3D::Math::Vec_DotProduct(normal, triTransformed.p[0]) < 0.0f) continue;
|
|
|
|
|
|
|
|
|
|
// If Lighting, calculate shading
|
|
|
|
|
triTransformed.col = olc::WHITE;
|
|
|
|
|
|
|
|
|
|
// Clip triangle against near plane
|
|
|
|
|
int nClippedTriangles = 0;
|
|
|
|
|
triangle clipped[2];
|
|
|
|
|
nClippedTriangles = GFX3D::Math::Triangle_ClipAgainstPlane({ 0.0f, 0.0f, 0.1f }, { 0.0f, 0.0f, 1.0f }, triTransformed, clipped[0], clipped[1]);
|
|
|
|
|
|
|
|
|
|
// This may yield two new triangles
|
|
|
|
|
for (int n = 0; n < nClippedTriangles; n++)
|
|
|
|
|
{
|
|
|
|
|
triangle triProjected = clipped[n];
|
|
|
|
|
|
|
|
|
|
// Project new triangle
|
|
|
|
|
triProjected.p[0] = GFX3D::Math::Mat_MultiplyVector(matProj, clipped[n].p[0]);
|
|
|
|
|
triProjected.p[1] = GFX3D::Math::Mat_MultiplyVector(matProj, clipped[n].p[1]);
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triProjected.p[2] = GFX3D::Math::Mat_MultiplyVector(matProj, clipped[n].p[2]);
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// Apply Projection to Verts
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triProjected.p[0].x = triProjected.p[0].x / triProjected.p[0].w;
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triProjected.p[1].x = triProjected.p[1].x / triProjected.p[1].w;
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triProjected.p[2].x = triProjected.p[2].x / triProjected.p[2].w;
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triProjected.p[0].y = triProjected.p[0].y / triProjected.p[0].w;
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triProjected.p[1].y = triProjected.p[1].y / triProjected.p[1].w;
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triProjected.p[2].y = triProjected.p[2].y / triProjected.p[2].w;
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triProjected.p[0].z = triProjected.p[0].z / triProjected.p[0].w;
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triProjected.p[1].z = triProjected.p[1].z / triProjected.p[1].w;
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triProjected.p[2].z = triProjected.p[2].z / triProjected.p[2].w;
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// Apply Projection to Tex coords
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triProjected.t[0].x = triProjected.t[0].x / triProjected.p[0].w;
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triProjected.t[1].x = triProjected.t[1].x / triProjected.p[1].w;
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triProjected.t[2].x = triProjected.t[2].x / triProjected.p[2].w;
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triProjected.t[0].y = triProjected.t[0].y / triProjected.p[0].w;
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triProjected.t[1].y = triProjected.t[1].y / triProjected.p[1].w;
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triProjected.t[2].y = triProjected.t[2].y / triProjected.p[2].w;
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triProjected.t[0].z = 1.0f / triProjected.p[0].w;
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triProjected.t[1].z = 1.0f / triProjected.p[1].w;
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triProjected.t[2].z = 1.0f / triProjected.p[2].w;
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// Clip against viewport in screen space
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// Clip triangles against all four screen edges, this could yield
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// a bunch of triangles, so create a queue that we traverse to
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// ensure we only test new triangles generated against planes
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triangle sclipped[2];
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std::list<triangle> listTriangles;
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// Add initial triangle
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listTriangles.push_back(triProjected);
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int nNewTriangles = 1;
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for (int p = 0; p < 4; p++)
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{
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int nTrisToAdd = 0;
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while (nNewTriangles > 0)
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{
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// Take triangle from front of queue
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triangle test = listTriangles.front();
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listTriangles.pop_front();
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nNewTriangles--;
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// Clip it against a plane. We only need to test each
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// subsequent plane, against subsequent new triangles
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// as all triangles after a plane clip are guaranteed
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// to lie on the inside of the plane. I like how this
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|
// comment is almost completely and utterly justified
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switch (p)
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|
|
{
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case 0: nTrisToAdd = GFX3D::Math::Triangle_ClipAgainstPlane({ 0.0f, -1.0f, 0.0f }, { 0.0f, 1.0f, 0.0f }, test, sclipped[0], sclipped[1]); break;
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case 1: nTrisToAdd = GFX3D::Math::Triangle_ClipAgainstPlane({ 0.0f, +1.0f, 0.0f }, { 0.0f, -1.0f, 0.0f }, test, sclipped[0], sclipped[1]); break;
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case 2: nTrisToAdd = GFX3D::Math::Triangle_ClipAgainstPlane({ -1.0f, 0.0f, 0.0f }, { 1.0f, 0.0f, 0.0f }, test, sclipped[0], sclipped[1]); break;
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case 3: nTrisToAdd = GFX3D::Math::Triangle_ClipAgainstPlane({ +1.0f, 0.0f, 0.0f }, { -1.0f, 0.0f, 0.0f }, test, sclipped[0], sclipped[1]); break;
|
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|
}
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|
// Clipping may yield a variable number of triangles, so
|
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|
|
// add these new ones to the back of the queue for subsequent
|
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|
|
// clipping against next planes
|
|
|
|
|
for (int w = 0; w < nTrisToAdd; w++)
|
|
|
|
|
listTriangles.push_back(sclipped[w]);
|
|
|
|
|
}
|
|
|
|
|
nNewTriangles = listTriangles.size();
|
|
|
|
|
}
|
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|
|
for (auto &triRaster : listTriangles)
|
|
|
|
|
{
|
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|
|
// Scale to viewport
|
|
|
|
|
/*triRaster.p[0].x *= -1.0f;
|
|
|
|
|
triRaster.p[1].x *= -1.0f;
|
|
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|
|
triRaster.p[2].x *= -1.0f;
|
|
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|
|
triRaster.p[0].y *= -1.0f;
|
|
|
|
|
triRaster.p[1].y *= -1.0f;
|
|
|
|
|
triRaster.p[2].y *= -1.0f;*/
|
|
|
|
|
vec3d vOffsetView = { 1,1,0 };
|
|
|
|
|
triRaster.p[0] = Math::Vec_Add(triRaster.p[0], vOffsetView);
|
|
|
|
|
triRaster.p[1] = Math::Vec_Add(triRaster.p[1], vOffsetView);
|
|
|
|
|
triRaster.p[2] = Math::Vec_Add(triRaster.p[2], vOffsetView);
|
|
|
|
|
triRaster.p[0].x *= 0.5f * fViewW;
|
|
|
|
|
triRaster.p[0].y *= 0.5f * fViewH;
|
|
|
|
|
triRaster.p[1].x *= 0.5f * fViewW;
|
|
|
|
|
triRaster.p[1].y *= 0.5f * fViewH;
|
|
|
|
|
triRaster.p[2].x *= 0.5f * fViewW;
|
|
|
|
|
triRaster.p[2].y *= 0.5f * fViewH;
|
|
|
|
|
vOffsetView = { fViewX,fViewY,0 };
|
|
|
|
|
triRaster.p[0] = Math::Vec_Add(triRaster.p[0], vOffsetView);
|
|
|
|
|
triRaster.p[1] = Math::Vec_Add(triRaster.p[1], vOffsetView);
|
|
|
|
|
triRaster.p[2] = Math::Vec_Add(triRaster.p[2], vOffsetView);
|
|
|
|
|
|
|
|
|
|
// For now, just draw triangle
|
|
|
|
|
|
|
|
|
|
if (flags & RENDER_TEXTURED)
|
|
|
|
|
{
|
|
|
|
|
TexturedTriangle(
|
|
|
|
|
triRaster.p[0].x, triRaster.p[0].y, triRaster.t[0].x, triRaster.t[0].y, triRaster.t[0].z,
|
|
|
|
|
triRaster.p[1].x, triRaster.p[1].y, triRaster.t[1].x, triRaster.t[1].y, triRaster.t[1].z,
|
|
|
|
|
triRaster.p[2].x, triRaster.p[2].y, triRaster.t[2].x, triRaster.t[2].y, triRaster.t[2].z,
|
|
|
|
|
sprTexture);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (flags & RENDER_WIRE)
|
|
|
|
|
{
|
|
|
|
|
DrawTriangleWire(triRaster, olc::RED);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (flags & RENDER_FLAT)
|
|
|
|
|
{
|
|
|
|
|
DrawTriangleFlat(triRaster);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
nTriangleDrawnCount++;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return nTriangleDrawnCount;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#endif
|