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| 1 | +/* | |
| 2 | + * Copyright (c) 2006, Oracle and/or its affiliates. All rights reserved. | |
| 3 | + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. | |
| 4 | + * | |
| 5 | + * This code is free software; you can redistribute it and/or modify it | |
| 6 | + * under the terms of the GNU General Public License version 2 only, as | |
| 7 | + * published by the Free Software Foundation. Oracle designates this | |
| 8 | + * particular file as subject to the "Classpath" exception as provided | |
| 9 | + * by Oracle in the LICENSE file that accompanied this code. | |
| 10 | + * | |
| 11 | + * This code is distributed in the hope that it will be useful, but WITHOUT | |
| 12 | + * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 13 | + * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 14 | + * version 2 for more details (a copy is included in the LICENSE file that | |
| 15 | + * accompanied this code). | |
| 16 | + * | |
| 17 | + * You should have received a copy of the GNU General Public License version | |
| 18 | + * 2 along with this work; if not, write to the Free Software Foundation, | |
| 19 | + * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. | |
| 20 | + * | |
| 21 | + * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA | |
| 22 | + * or visit www.oracle.com if you need additional information or have any | |
| 23 | + * questions. | |
| 24 | + */ | |
| 25 | + | |
| 26 | +package java.awt; | |
| 27 | + | |
| 28 | +import java.awt.MultipleGradientPaint.CycleMethod; | |
| 29 | +import java.awt.MultipleGradientPaint.ColorSpaceType; | |
| 30 | +import java.awt.geom.AffineTransform; | |
| 31 | +import java.awt.geom.Rectangle2D; | |
| 32 | +import java.awt.image.ColorModel; | |
| 33 | + | |
| 34 | +/** | |
| 35 | + * Provides the actual implementation for the RadialGradientPaint. | |
| 36 | + * This is where the pixel processing is done. A RadialGradienPaint | |
| 37 | + * only supports circular gradients, but it should be possible to scale | |
| 38 | + * the circle to look approximately elliptical, by means of a | |
| 39 | + * gradient transform passed into the RadialGradientPaint constructor. | |
| 40 | + * | |
| 41 | + * @author Nicholas Talian, Vincent Hardy, Jim Graham, Jerry Evans | |
| 42 | + */ | |
| 43 | +final class RadialGradientPaintContext extends MultipleGradientPaintContext { | |
| 44 | + | |
| 45 | + /** True when (focus == center). */ | |
| 46 | + private boolean isSimpleFocus = false; | |
| 47 | + | |
| 48 | + /** True when (cycleMethod == NO_CYCLE). */ | |
| 49 | + private boolean isNonCyclic = false; | |
| 50 | + | |
| 51 | + /** Radius of the outermost circle defining the 100% gradient stop. */ | |
| 52 | + private float radius; | |
| 53 | + | |
| 54 | + /** Variables representing center and focus points. */ | |
| 55 | + private float centerX, centerY, focusX, focusY; | |
| 56 | + | |
| 57 | + /** Radius of the gradient circle squared. */ | |
| 58 | + private float radiusSq; | |
| 59 | + | |
| 60 | + /** Constant part of X, Y user space coordinates. */ | |
| 61 | + private float constA, constB; | |
| 62 | + | |
| 63 | + /** Constant second order delta for simple loop. */ | |
| 64 | + private float gDeltaDelta; | |
| 65 | + | |
| 66 | + /** | |
| 67 | + * This value represents the solution when focusX == X. It is called | |
| 68 | + * trivial because it is easier to calculate than the general case. | |
| 69 | + */ | |
| 70 | + private float trivial; | |
| 71 | + | |
| 72 | + /** Amount for offset when clamping focus. */ | |
| 73 | + private static final float SCALEBACK = .99f; | |
| 74 | + | |
| 75 | + /** | |
| 76 | + * Constructor for RadialGradientPaintContext. | |
| 77 | + * | |
| 78 | + * @param paint the {@code RadialGradientPaint} from which this context | |
| 79 | + * is created | |
| 80 | + * @param cm the {@code ColorModel} that receives | |
| 81 | + * the {@code Paint} data (this is used only as a hint) | |
| 82 | + * @param deviceBounds the device space bounding box of the | |
| 83 | + * graphics primitive being rendered | |
| 84 | + * @param userBounds the user space bounding box of the | |
| 85 | + * graphics primitive being rendered | |
| 86 | + * @param t the {@code AffineTransform} from user | |
| 87 | + * space into device space (gradientTransform should be | |
| 88 | + * concatenated with this) | |
| 89 | + * @param hints the hints that the context object uses to choose | |
| 90 | + * between rendering alternatives | |
| 91 | + * @param cx the center X coordinate in user space of the circle defining | |
| 92 | + * the gradient. The last color of the gradient is mapped to | |
| 93 | + * the perimeter of this circle. | |
| 94 | + * @param cy the center Y coordinate in user space of the circle defining | |
| 95 | + * the gradient. The last color of the gradient is mapped to | |
| 96 | + * the perimeter of this circle. | |
| 97 | + * @param r the radius of the circle defining the extents of the | |
| 98 | + * color gradient | |
| 99 | + * @param fx the X coordinate in user space to which the first color | |
| 100 | + * is mapped | |
| 101 | + * @param fy the Y coordinate in user space to which the first color | |
| 102 | + * is mapped | |
| 103 | + * @param fractions the fractions specifying the gradient distribution | |
| 104 | + * @param colors the gradient colors | |
| 105 | + * @param cycleMethod either NO_CYCLE, REFLECT, or REPEAT | |
| 106 | + * @param colorSpace which colorspace to use for interpolation, | |
| 107 | + * either SRGB or LINEAR_RGB | |
| 108 | + */ | |
| 109 | + RadialGradientPaintContext(RadialGradientPaint paint, | |
| 110 | + ColorModel cm, | |
| 111 | + Rectangle deviceBounds, | |
| 112 | + Rectangle2D userBounds, | |
| 113 | + AffineTransform t, | |
| 114 | + RenderingHints hints, | |
| 115 | + float cx, float cy, | |
| 116 | + float r, | |
| 117 | + float fx, float fy, | |
| 118 | + float[] fractions, | |
| 119 | + Color[] colors, | |
| 120 | + CycleMethod cycleMethod, | |
| 121 | + ColorSpaceType colorSpace) | |
| 122 | + { | |
| 123 | + super(paint, cm, deviceBounds, userBounds, t, hints, | |
| 124 | + fractions, colors, cycleMethod, colorSpace); | |
| 125 | + | |
| 126 | + // copy some parameters | |
| 127 | + centerX = cx; | |
| 128 | + centerY = cy; | |
| 129 | + focusX = fx; | |
| 130 | + focusY = fy; | |
| 131 | + radius = r; | |
| 132 | + | |
| 133 | + this.isSimpleFocus = (focusX == centerX) && (focusY == centerY); | |
| 134 | + this.isNonCyclic = (cycleMethod == CycleMethod.NO_CYCLE); | |
| 135 | + | |
| 136 | + // for use in the quadractic equation | |
| 137 | + radiusSq = radius * radius; | |
| 138 | + | |
| 139 | + float dX = focusX - centerX; | |
| 140 | + float dY = focusY - centerY; | |
| 141 | + | |
| 142 | + double distSq = (dX * dX) + (dY * dY); | |
| 143 | + | |
| 144 | + // test if distance from focus to center is greater than the radius | |
| 145 | + if (distSq > radiusSq * SCALEBACK) { | |
| 146 | + // clamp focus to radius | |
| 147 | + float scalefactor = (float)Math.sqrt(radiusSq * SCALEBACK / distSq); | |
| 148 | + dX = dX * scalefactor; | |
| 149 | + dY = dY * scalefactor; | |
| 150 | + focusX = centerX + dX; | |
| 151 | + focusY = centerY + dY; | |
| 152 | + } | |
| 153 | + | |
| 154 | + // calculate the solution to be used in the case where X == focusX | |
| 155 | + // in cyclicCircularGradientFillRaster() | |
| 156 | + trivial = (float)Math.sqrt(radiusSq - (dX * dX)); | |
| 157 | + | |
| 158 | + // constant parts of X, Y user space coordinates | |
| 159 | + constA = a02 - centerX; | |
| 160 | + constB = a12 - centerY; | |
| 161 | + | |
| 162 | + // constant second order delta for simple loop | |
| 163 | + gDeltaDelta = 2 * ( a00 * a00 + a10 * a10) / radiusSq; | |
| 164 | + } | |
| 165 | + | |
| 166 | + /** | |
| 167 | + * Return a Raster containing the colors generated for the graphics | |
| 168 | + * operation. | |
| 169 | + * | |
| 170 | + * @param x,y,w,h the area in device space for which colors are | |
| 171 | + * generated. | |
| 172 | + */ | |
| 173 | + protected void fillRaster(int pixels[], int off, int adjust, | |
| 174 | + int x, int y, int w, int h) | |
| 175 | + { | |
| 176 | + if (isSimpleFocus && isNonCyclic && isSimpleLookup) { | |
| 177 | + simpleNonCyclicFillRaster(pixels, off, adjust, x, y, w, h); | |
| 178 | + } else { | |
| 179 | + cyclicCircularGradientFillRaster(pixels, off, adjust, x, y, w, h); | |
| 180 | + } | |
| 181 | + } | |
| 182 | + | |
| 183 | + /** | |
| 184 | + * This code works in the simplest of cases, where the focus == center | |
| 185 | + * point, the gradient is noncyclic, and the gradient lookup method is | |
| 186 | + * fast (single array index, no conversion necessary). | |
| 187 | + */ | |
| 188 | + private void simpleNonCyclicFillRaster(int pixels[], int off, int adjust, | |
| 189 | + int x, int y, int w, int h) | |
| 190 | + { | |
| 191 | + /* We calculate sqrt(X^2 + Y^2) relative to the radius | |
| 192 | + * size to get the fraction for the color to use. | |
| 193 | + * | |
| 194 | + * Each step along the scanline adds (a00, a10) to (X, Y). | |
| 195 | + * If we precalculate: | |
| 196 | + * gRel = X^2+Y^2 | |
| 197 | + * for the start of the row, then for each step we need to | |
| 198 | + * calculate: | |
| 199 | + * gRel' = (X+a00)^2 + (Y+a10)^2 | |
| 200 | + * = X^2 + 2*X*a00 + a00^2 + Y^2 + 2*Y*a10 + a10^2 | |
| 201 | + * = (X^2+Y^2) + 2*(X*a00+Y*a10) + (a00^2+a10^2) | |
| 202 | + * = gRel + 2*(X*a00+Y*a10) + (a00^2+a10^2) | |
| 203 | + * = gRel + 2*DP + SD | |
| 204 | + * (where DP = dot product between X,Y and a00,a10 | |
| 205 | + * and SD = dot product square of the delta vector) | |
| 206 | + * For the step after that we get: | |
| 207 | + * gRel'' = (X+2*a00)^2 + (Y+2*a10)^2 | |
| 208 | + * = X^2 + 4*X*a00 + 4*a00^2 + Y^2 + 4*Y*a10 + 4*a10^2 | |
| 209 | + * = (X^2+Y^2) + 4*(X*a00+Y*a10) + 4*(a00^2+a10^2) | |
| 210 | + * = gRel + 4*DP + 4*SD | |
| 211 | + * = gRel' + 2*DP + 3*SD | |
| 212 | + * The increment changed by: | |
| 213 | + * (gRel'' - gRel') - (gRel' - gRel) | |
| 214 | + * = (2*DP + 3*SD) - (2*DP + SD) | |
| 215 | + * = 2*SD | |
| 216 | + * Note that this value depends only on the (inverse of the) | |
| 217 | + * transformation matrix and so is a constant for the loop. | |
| 218 | + * To make this all relative to the unit circle, we need to | |
| 219 | + * divide all values as follows: | |
| 220 | + * [XY] /= radius | |
| 221 | + * gRel /= radiusSq | |
| 222 | + * DP /= radiusSq | |
| 223 | + * SD /= radiusSq | |
| 224 | + */ | |
| 225 | + // coordinates of UL corner in "user space" relative to center | |
| 226 | + float rowX = (a00*x) + (a01*y) + constA; | |
| 227 | + float rowY = (a10*x) + (a11*y) + constB; | |
| 228 | + | |
| 229 | + // second order delta calculated in constructor | |
| 230 | + float gDeltaDelta = this.gDeltaDelta; | |
| 231 | + | |
| 232 | + // adjust is (scan-w) of pixels array, we need (scan) | |
| 233 | + adjust += w; | |
| 234 | + | |
| 235 | + // rgb of the 1.0 color used when the distance exceeds gradient radius | |
| 236 | + int rgbclip = gradient[fastGradientArraySize]; | |
| 237 | + | |
| 238 | + for (int j = 0; j < h; j++) { | |
| 239 | + // these values depend on the coordinates of the start of the row | |
| 240 | + float gRel = (rowX * rowX + rowY * rowY) / radiusSq; | |
| 241 | + float gDelta = (2 * ( a00 * rowX + a10 * rowY) / radiusSq + | |
| 242 | + gDeltaDelta/2); | |
| 243 | + | |
| 244 | + /* Use optimized loops for any cases where gRel >= 1. | |
| 245 | + * We do not need to calculate sqrt(gRel) for these | |
| 246 | + * values since sqrt(N>=1) == (M>=1). | |
| 247 | + * Note that gRel follows a parabola which can only be < 1 | |
| 248 | + * for a small region around the center on each scanline. In | |
| 249 | + * particular: | |
| 250 | + * gDeltaDelta is always positive | |
| 251 | + * gDelta is <0 until it crosses the midpoint, then >0 | |
| 252 | + * To the left and right of that region, it will always be | |
| 253 | + * >=1 out to infinity, so we can process the line in 3 | |
| 254 | + * regions: | |
| 255 | + * out to the left - quick fill until gRel < 1, updating gRel | |
| 256 | + * in the heart - slow fraction=sqrt fill while gRel < 1 | |
| 257 | + * out to the right - quick fill rest of scanline, ignore gRel | |
| 258 | + */ | |
| 259 | + int i = 0; | |
| 260 | + // Quick fill for "out to the left" | |
| 261 | + while (i < w && gRel >= 1.0f) { | |
| 262 | + pixels[off + i] = rgbclip; | |
| 263 | + gRel += gDelta; | |
| 264 | + gDelta += gDeltaDelta; | |
| 265 | + i++; | |
| 266 | + } | |
| 267 | + // Slow fill for "in the heart" | |
| 268 | + while (i < w && gRel < 1.0f) { | |
| 269 | + int gIndex; | |
| 270 | + | |
| 271 | + if (gRel <= 0) { | |
| 272 | + gIndex = 0; | |
| 273 | + } else { | |
| 274 | + float fIndex = gRel * SQRT_LUT_SIZE; | |
| 275 | + int iIndex = (int) (fIndex); | |
| 276 | + float s0 = sqrtLut[iIndex]; | |
| 277 | + float s1 = sqrtLut[iIndex+1] - s0; | |
| 278 | + fIndex = s0 + (fIndex - iIndex) * s1; | |
| 279 | + gIndex = (int) (fIndex * fastGradientArraySize); | |
| 280 | + } | |
| 281 | + | |
| 282 | + // store the color at this point | |
| 283 | + pixels[off + i] = gradient[gIndex]; | |
| 284 | + | |
| 285 | + // incremental calculation | |
| 286 | + gRel += gDelta; | |
| 287 | + gDelta += gDeltaDelta; | |
| 288 | + i++; | |
| 289 | + } | |
| 290 | + // Quick fill to end of line for "out to the right" | |
| 291 | + while (i < w) { | |
| 292 | + pixels[off + i] = rgbclip; | |
| 293 | + i++; | |
| 294 | + } | |
| 295 | + | |
| 296 | + off += adjust; | |
| 297 | + rowX += a01; | |
| 298 | + rowY += a11; | |
| 299 | + } | |
| 300 | + } | |
| 301 | + | |
| 302 | + // SQRT_LUT_SIZE must be a power of 2 for the test above to work. | |
| 303 | + private static final int SQRT_LUT_SIZE = (1 << 11); | |
| 304 | + private static float sqrtLut[] = new float[SQRT_LUT_SIZE+1]; | |
| 305 | + static { | |
| 306 | + for (int i = 0; i < sqrtLut.length; i++) { | |
| 307 | + sqrtLut[i] = (float) Math.sqrt(i / ((float) SQRT_LUT_SIZE)); | |
| 308 | + } | |
| 309 | + } | |
| 310 | + | |
| 311 | + /** | |
| 312 | + * Fill the raster, cycling the gradient colors when a point falls outside | |
| 313 | + * of the perimeter of the 100% stop circle. | |
| 314 | + * | |
| 315 | + * This calculation first computes the intersection point of the line | |
| 316 | + * from the focus through the current point in the raster, and the | |
| 317 | + * perimeter of the gradient circle. | |
| 318 | + * | |
| 319 | + * Then it determines the percentage distance of the current point along | |
| 320 | + * that line (focus is 0%, perimeter is 100%). | |
| 321 | + * | |
| 322 | + * Equation of a circle centered at (a,b) with radius r: | |
| 323 | + * (x-a)^2 + (y-b)^2 = r^2 | |
| 324 | + * Equation of a line with slope m and y-intercept b: | |
| 325 | + * y = mx + b | |
| 326 | + * Replacing y in the circle equation and solving using the quadratic | |
| 327 | + * formula produces the following set of equations. Constant factors have | |
| 328 | + * been extracted out of the inner loop. | |
| 329 | + */ | |
| 330 | + private void cyclicCircularGradientFillRaster(int pixels[], int off, | |
| 331 | + int adjust, | |
| 332 | + int x, int y, | |
| 333 | + int w, int h) | |
| 334 | + { | |
| 335 | + // constant part of the C factor of the quadratic equation | |
| 336 | + final double constC = | |
| 337 | + -radiusSq + (centerX * centerX) + (centerY * centerY); | |
| 338 | + | |
| 339 | + // coefficients of the quadratic equation (Ax^2 + Bx + C = 0) | |
| 340 | + double A, B, C; | |
| 341 | + | |
| 342 | + // slope and y-intercept of the focus-perimeter line | |
| 343 | + double slope, yintcpt; | |
| 344 | + | |
| 345 | + // intersection with circle X,Y coordinate | |
| 346 | + double solutionX, solutionY; | |
| 347 | + | |
| 348 | + // constant parts of X, Y coordinates | |
| 349 | + final float constX = (a00*x) + (a01*y) + a02; | |
| 350 | + final float constY = (a10*x) + (a11*y) + a12; | |
| 351 | + | |
| 352 | + // constants in inner loop quadratic formula | |
| 353 | + final float precalc2 = 2 * centerY; | |
| 354 | + final float precalc3 = -2 * centerX; | |
| 355 | + | |
| 356 | + // value between 0 and 1 specifying position in the gradient | |
| 357 | + float g; | |
| 358 | + | |
| 359 | + // determinant of quadratic formula (should always be > 0) | |
| 360 | + float det; | |
| 361 | + | |
| 362 | + // sq distance from the current point to focus | |
| 363 | + float currentToFocusSq; | |
| 364 | + | |
| 365 | + // sq distance from the intersect point to focus | |
| 366 | + float intersectToFocusSq; | |
| 367 | + | |
| 368 | + // temp variables for change in X,Y squared | |
| 369 | + float deltaXSq, deltaYSq; | |
| 370 | + | |
| 371 | + // used to index pixels array | |
| 372 | + int indexer = off; | |
| 373 | + | |
| 374 | + // incremental index change for pixels array | |
| 375 | + int pixInc = w+adjust; | |
| 376 | + | |
| 377 | + // for every row | |
| 378 | + for (int j = 0; j < h; j++) { | |
| 379 | + | |
| 380 | + // user space point; these are constant from column to column | |
| 381 | + float X = (a01*j) + constX; | |
| 382 | + float Y = (a11*j) + constY; | |
| 383 | + | |
| 384 | + // for every column (inner loop begins here) | |
| 385 | + for (int i = 0; i < w; i++) { | |
| 386 | + | |
| 387 | + if (X == focusX) { | |
| 388 | + // special case to avoid divide by zero | |
| 389 | + solutionX = focusX; | |
| 390 | + solutionY = centerY; | |
| 391 | + solutionY += (Y > focusY) ? trivial : -trivial; | |
| 392 | + } else { | |
| 393 | + // slope and y-intercept of the focus-perimeter line | |
| 394 | + slope = (Y - focusY) / (X - focusX); | |
| 395 | + yintcpt = Y - (slope * X); | |
| 396 | + | |
| 397 | + // use the quadratic formula to calculate the | |
| 398 | + // intersection point | |
| 399 | + A = (slope * slope) + 1; | |
| 400 | + B = precalc3 + (-2 * slope * (centerY - yintcpt)); | |
| 401 | + C = constC + (yintcpt* (yintcpt - precalc2)); | |
| 402 | + | |
| 403 | + det = (float)Math.sqrt((B * B) - (4 * A * C)); | |
| 404 | + solutionX = -B; | |
| 405 | + | |
| 406 | + // choose the positive or negative root depending | |
| 407 | + // on where the X coord lies with respect to the focus | |
| 408 | + solutionX += (X < focusX)? -det : det; | |
| 409 | + solutionX = solutionX / (2 * A); // divisor | |
| 410 | + solutionY = (slope * solutionX) + yintcpt; | |
| 411 | + } | |
| 412 | + | |
| 413 | + // Calculate the square of the distance from the current point | |
| 414 | + // to the focus and the square of the distance from the | |
| 415 | + // intersection point to the focus. Want the squares so we can | |
| 416 | + // do 1 square root after division instead of 2 before. | |
| 417 | + | |
| 418 | + deltaXSq = X - focusX; | |
| 419 | + deltaXSq = deltaXSq * deltaXSq; | |
| 420 | + | |
| 421 | + deltaYSq = Y - focusY; | |
| 422 | + deltaYSq = deltaYSq * deltaYSq; | |
| 423 | + | |
| 424 | + currentToFocusSq = deltaXSq + deltaYSq; | |
| 425 | + | |
| 426 | + deltaXSq = (float)solutionX - focusX; | |
| 427 | + deltaXSq = deltaXSq * deltaXSq; | |
| 428 | + | |
| 429 | + deltaYSq = (float)solutionY - focusY; | |
| 430 | + deltaYSq = deltaYSq * deltaYSq; | |
| 431 | + | |
| 432 | + intersectToFocusSq = deltaXSq + deltaYSq; | |
| 433 | + | |
| 434 | + // get the percentage (0-1) of the current point along the | |
| 435 | + // focus-circumference line | |
| 436 | + g = (float)Math.sqrt(currentToFocusSq / intersectToFocusSq); | |
| 437 | + | |
| 438 | + // store the color at this point | |
| 439 | + pixels[indexer + i] = indexIntoGradientsArrays(g); | |
| 440 | + | |
| 441 | + // incremental change in X, Y | |
| 442 | + X += a00; | |
| 443 | + Y += a10; | |
| 444 | + } //end inner loop | |
| 445 | + | |
| 446 | + indexer += pixInc; | |
| 447 | + } //end outer loop | |
| 448 | + } | |
| 449 | +} | |