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| 1 | +package com.support.constraintlayout.extlib.graph3d; |
| 2 | + |
| 3 | +/** |
| 4 | + * This represents 3d Object in this system |
| 5 | + */ |
| 6 | +public class Object3D { |
| 7 | + protected float[] vert; |
| 8 | + protected int[] index; |
| 9 | + protected float[] tVert; // the vertices transformed into screen space |
| 10 | + float mMinX, mMaxX, mMinY, mMaxY, mMinZ, mMaxZ; // bounds in x,y & z |
| 11 | + |
| 12 | + public void transform(Matrix m) { |
| 13 | + for (int i = 0; i < vert.length; i += 3) { |
| 14 | + m.mult3(vert, i, tVert, i); |
| 15 | + } |
| 16 | + } |
| 17 | + |
| 18 | + public void render(SurfaceGen s, int type, float[] zbuff, int[] img, int width, int height) { |
| 19 | + System.out.println(type); |
| 20 | + switch (type) { |
| 21 | + case 0: |
| 22 | + raster_height(s, zbuff, img, width, height); |
| 23 | + break; |
| 24 | + case 1: |
| 25 | + raster_outline(s, zbuff, img, width, height); |
| 26 | + break; |
| 27 | + case 2: |
| 28 | + raster_color(s, zbuff, img, width, height); |
| 29 | + break; |
| 30 | + case 3: |
| 31 | + raster_lines(s, zbuff, img, width, height); |
| 32 | + break; |
| 33 | + } |
| 34 | + } |
| 35 | + |
| 36 | + |
| 37 | + private void raster_lines(SurfaceGen s, float[] zbuff, int[] img, int w, int h) { |
| 38 | + for (int i = 0; i < index.length; i += 3) { |
| 39 | + int p1 = index[i]; |
| 40 | + int p2 = index[i + 1]; |
| 41 | + int p3 = index[i + 2]; |
| 42 | + |
| 43 | + float height = (vert[p1 + 2] + vert[p3 + 2] + vert[p2 + 2]) / 3; |
| 44 | + int val = (int) (255 * Math.abs(height)); |
| 45 | + SurfaceGen.triangle(zbuff, img, 0x10001 * val + 0x100 * (255 - val), w, h, tVert[p1], tVert[p1 + 1], |
| 46 | + tVert[p1 + 2], tVert[p2], tVert[p2 + 1], |
| 47 | + tVert[p2 + 2], tVert[p3], tVert[p3 + 1], |
| 48 | + tVert[p3 + 2]); |
| 49 | + |
| 50 | + SurfaceGen.drawline(zbuff, img, s.lineColor, w, h, |
| 51 | + tVert[p1], tVert[p1 + 1], tVert[p1 + 2] - 0.01f, |
| 52 | + tVert[p2], tVert[p2 + 1], tVert[p2 + 2] - 0.01f); |
| 53 | + SurfaceGen.drawline(zbuff, img, s.lineColor, w, h, |
| 54 | + tVert[p1], tVert[p1 + 1], tVert[p1 + 2] - 0.01f, |
| 55 | + tVert[p3], tVert[p3 + 1], tVert[p3 + 2] - 0.01f); |
| 56 | + } |
| 57 | + } |
| 58 | + |
| 59 | + void raster_height(SurfaceGen s, float[] zbuff, int[] img, int w, int h) { |
| 60 | + for (int i = 0; i < index.length; i += 3) { |
| 61 | + int p1 = index[i]; |
| 62 | + int p2 = index[i + 1]; |
| 63 | + int p3 = index[i + 2]; |
| 64 | + float height = (vert[p1 + 2] + vert[p3 + 2] + vert[p2 + 2]) / 3; |
| 65 | + height = (height - mMinZ) / (mMaxZ - mMinZ); |
| 66 | + int col = SurfaceGen.hsvToRgb(height, Math.abs(2 * (height - 0.5f)), (float) Math.sqrt(height)); |
| 67 | + SurfaceGen.triangle(zbuff, img, col, w, h, tVert[p1], tVert[p1 + 1], |
| 68 | + tVert[p1 + 2], tVert[p2], tVert[p2 + 1], |
| 69 | + tVert[p2 + 2], tVert[p3], tVert[p3 + 1], |
| 70 | + tVert[p3 + 2]); |
| 71 | + } |
| 72 | + } |
| 73 | + |
| 74 | + |
| 75 | + void raster_color(SurfaceGen s, float[] zbuff, int[] img, int w, int h) { |
| 76 | + for (int i = 0; i < index.length; i += 3) { |
| 77 | + int p1 = index[i]; |
| 78 | + int p2 = index[i + 1]; |
| 79 | + int p3 = index[i + 2]; |
| 80 | + |
| 81 | + VectorUtil.triangleNormal(tVert, p1, p2, p3, s.tmpVec); |
| 82 | + float defuse = VectorUtil.dot(s.tmpVec, s.light); |
| 83 | + float height = (vert[p1 + 2] + vert[p3 + 2] + vert[p2 + 2]) / 3; |
| 84 | + height = (height - mMinZ) / (mMaxZ - mMinZ); |
| 85 | + float bright = Math.max(0, defuse); |
| 86 | + float hue = (float) Math.sqrt(height); |
| 87 | + float sat = Math.max(0.5f, height); |
| 88 | + int col = SurfaceGen.hsvToRgb(hue, sat, bright); |
| 89 | + SurfaceGen.triangle(zbuff, img, col, w, h, tVert[p1], tVert[p1 + 1], |
| 90 | + tVert[p1 + 2], tVert[p2], tVert[p2 + 1], |
| 91 | + tVert[p2 + 2], tVert[p3], tVert[p3 + 1], |
| 92 | + tVert[p3 + 2]); |
| 93 | + } |
| 94 | + } |
| 95 | + |
| 96 | + void raster_outline(SurfaceGen s, float[] zBuff, int[] img, int w, int h) { |
| 97 | + for (int i = 0; i < index.length; i += 3) { |
| 98 | + int p1 = index[i]; |
| 99 | + int p2 = index[i + 1]; |
| 100 | + int p3 = index[i + 2]; |
| 101 | + |
| 102 | + SurfaceGen.triangle(zBuff, img, s.background, w, h, |
| 103 | + tVert[p1], tVert[p1 + 1], tVert[p1 + 2], |
| 104 | + tVert[p2], tVert[p2 + 1], tVert[p2 + 2], |
| 105 | + tVert[p3], tVert[p3 + 1], tVert[p3 + 2]); |
| 106 | + |
| 107 | + SurfaceGen.drawline(zBuff, img, s.lineColor, w, h, |
| 108 | + tVert[p1], tVert[p1 + 1], tVert[p1 + 2], |
| 109 | + tVert[p2], tVert[p2 + 1], tVert[p2 + 2]); |
| 110 | + |
| 111 | + SurfaceGen.drawline(zBuff, img, s.lineColor, w, h, |
| 112 | + tVert[p1], tVert[p1 + 1], tVert[p1 + 2], |
| 113 | + tVert[p3], tVert[p3 + 1], tVert[p3 + 2]); |
| 114 | + } |
| 115 | + } |
| 116 | + |
| 117 | + public double[] center() { |
| 118 | + double[] look_point = { |
| 119 | + (mMinX + mMaxX) / 2, (mMinY + mMaxY) / 2, (mMinZ + mMaxZ) / 2 |
| 120 | + }; |
| 121 | + return look_point; |
| 122 | + } |
| 123 | + public float centerX() { |
| 124 | + return (mMaxX + mMinX) / 2; |
| 125 | + } |
| 126 | + public float centerY() { |
| 127 | + return (mMaxY + mMinY) / 2; |
| 128 | + } |
| 129 | + public float rangeX() { |
| 130 | + return (mMaxX - mMinX) / 2; |
| 131 | + } |
| 132 | + public float rangeY() { |
| 133 | + return (mMaxY - mMinY) / 2; |
| 134 | + } |
| 135 | + public double size() { |
| 136 | + |
| 137 | + return Math.hypot((mMaxX - mMinX), Math.hypot((mMaxY - mMinY), (mMaxZ - mMinZ))) / 2; |
| 138 | + } |
| 139 | + |
| 140 | + static class Surface extends Object3D { |
| 141 | + final int SIZE = 100; // the number of point on the side total points = SIZE*SIZE |
| 142 | + private Function mFunction; |
| 143 | + private float mZoomZ = 1; |
| 144 | + |
| 145 | + public interface Function { |
| 146 | + float eval(float x, float y); |
| 147 | + } |
| 148 | + |
| 149 | + public Surface(boolean resetZ, Function func) { |
| 150 | + computeSurface(resetZ, func); |
| 151 | + } |
| 152 | + |
| 153 | + public void computeSurface(boolean resetZ, Function func) { |
| 154 | + int n = (SIZE + 1) * (SIZE + 1); |
| 155 | + vert = new float[n * 3]; |
| 156 | + tVert = new float[n * 3]; |
| 157 | + index = new int[SIZE * SIZE * 6]; |
| 158 | + float min_x = mMinX; |
| 159 | + float max_x = mMaxX; |
| 160 | + float min_y = mMinY; |
| 161 | + float max_y = mMaxY; |
| 162 | + float min_z = Float.MAX_VALUE; |
| 163 | + float max_z = -Float.MAX_VALUE; |
| 164 | + |
| 165 | + mFunction = func; |
| 166 | + int count = 0; |
| 167 | + for (int iy = 0; iy <= SIZE; iy++) { |
| 168 | + float y = min_y + iy * (max_y - min_y) / (SIZE); |
| 169 | + for (int ix = 0; ix <= SIZE; ix++) { |
| 170 | + float x = min_x + ix * (max_x - min_x) / (SIZE); |
| 171 | + vert[count++] = x; |
| 172 | + vert[count++] = y; |
| 173 | + float z = func.eval(x, y); |
| 174 | + |
| 175 | + if (Float.isNaN(z) || Float.isInfinite(z)) { |
| 176 | + float epslonX = 0.000005232f; |
| 177 | + float epslonY = 0.00000898f; |
| 178 | + z = func.eval(x + epslonX, y + epslonY); |
| 179 | + } |
| 180 | + vert[count++] = z; |
| 181 | + if (Float.isNaN(z)) { |
| 182 | + continue; |
| 183 | + } |
| 184 | + |
| 185 | + if (Float.isInfinite(z)) { |
| 186 | + continue; |
| 187 | + } |
| 188 | + min_z = Math.min(z, min_z); |
| 189 | + max_z = Math.max(z, max_z); |
| 190 | + } |
| 191 | + if (resetZ) { |
| 192 | + mMinZ = min_z; |
| 193 | + mMaxZ = max_z; |
| 194 | + } |
| 195 | + } |
| 196 | + // normalize range in z |
| 197 | + float xrange = mMaxX - mMinX; |
| 198 | + float yrange = mMaxY - mMinY; |
| 199 | + float zrange = max_z - min_z; |
| 200 | + if (zrange != 0) { |
| 201 | + float xyrange = (xrange + yrange) / 2; |
| 202 | + float scalez = xyrange / zrange; |
| 203 | + |
| 204 | + for (int i = 0; i < vert.length; i += 3) { |
| 205 | + float z = vert[i + 2]; |
| 206 | + if (Float.isNaN(z) || Float.isInfinite(z)) { |
| 207 | + if (i > 3) { |
| 208 | + z = vert[i - 1]; |
| 209 | + } else { |
| 210 | + z = vert[i + 5]; |
| 211 | + } |
| 212 | + } |
| 213 | + vert[i + 2] = z * scalez * mZoomZ; |
| 214 | + } |
| 215 | + if (resetZ) { |
| 216 | + mMinZ *= scalez; |
| 217 | + mMaxZ *= scalez; |
| 218 | + } |
| 219 | + } |
| 220 | + count = 0; |
| 221 | + for (int iy = 0; iy < SIZE; iy++) { |
| 222 | + for (int ix = 0; ix < SIZE; ix++) { |
| 223 | + int p1 = 3 * (ix + iy * (SIZE + 1)); |
| 224 | + int p2 = 3 * (1 + ix + iy * (SIZE + 1)); |
| 225 | + int p3 = 3 * (ix + (iy + 1) * (SIZE + 1)); |
| 226 | + int p4 = 3 * (1 + ix + (iy + 1) * (SIZE + 1)); |
| 227 | + index[count++] = p1; |
| 228 | + index[count++] = p2; |
| 229 | + index[count++] = p3; |
| 230 | + |
| 231 | + index[count++] = p4; |
| 232 | + index[count++] = p3; |
| 233 | + index[count++] = p2; |
| 234 | + } |
| 235 | + } |
| 236 | + } |
| 237 | + |
| 238 | + } |
| 239 | +} |
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