--- old/src/java.desktop/share/classes/sun/java2d/pisces/Helpers.java 2017-11-06 15:02:36.992239326 -0800 +++ /dev/null 2017-08-10 09:28:49.381064065 -0700 @@ -1,458 +0,0 @@ -/* - * Copyright (c) 2007, 2011, Oracle and/or its affiliates. All rights reserved. - * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. - * - * This code is free software; you can redistribute it and/or modify it - * under the terms of the GNU General Public License version 2 only, as - * published by the Free Software Foundation. Oracle designates this - * particular file as subject to the "Classpath" exception as provided - * by Oracle in the LICENSE file that accompanied this code. - * - * This code is distributed in the hope that it will be useful, but WITHOUT - * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or - * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License - * version 2 for more details (a copy is included in the LICENSE file that - * accompanied this code). - * - * You should have received a copy of the GNU General Public License version - * 2 along with this work; if not, write to the Free Software Foundation, - * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. - * - * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA - * or visit www.oracle.com if you need additional information or have any - * questions. - */ - -package sun.java2d.pisces; - -import java.util.Arrays; -import static java.lang.Math.PI; -import static java.lang.Math.cos; -import static java.lang.Math.sqrt; -import static java.lang.Math.cbrt; -import static java.lang.Math.acos; - - -final class Helpers { - private Helpers() { - throw new Error("This is a non instantiable class"); - } - - static boolean within(final float x, final float y, final float err) { - final float d = y - x; - return (d <= err && d >= -err); - } - - static boolean within(final double x, final double y, final double err) { - final double d = y - x; - return (d <= err && d >= -err); - } - - static int quadraticRoots(final float a, final float b, - final float c, float[] zeroes, final int off) - { - int ret = off; - float t; - if (a != 0f) { - final float dis = b*b - 4*a*c; - if (dis > 0) { - final float sqrtDis = (float)Math.sqrt(dis); - // depending on the sign of b we use a slightly different - // algorithm than the traditional one to find one of the roots - // so we can avoid adding numbers of different signs (which - // might result in loss of precision). - if (b >= 0) { - zeroes[ret++] = (2 * c) / (-b - sqrtDis); - zeroes[ret++] = (-b - sqrtDis) / (2 * a); - } else { - zeroes[ret++] = (-b + sqrtDis) / (2 * a); - zeroes[ret++] = (2 * c) / (-b + sqrtDis); - } - } else if (dis == 0f) { - t = (-b) / (2 * a); - zeroes[ret++] = t; - } - } else { - if (b != 0f) { - t = (-c) / b; - zeroes[ret++] = t; - } - } - return ret - off; - } - - // find the roots of g(t) = d*t^3 + a*t^2 + b*t + c in [A,B) - static int cubicRootsInAB(float d, float a, float b, float c, - float[] pts, final int off, - final float A, final float B) - { - if (d == 0) { - int num = quadraticRoots(a, b, c, pts, off); - return filterOutNotInAB(pts, off, num, A, B) - off; - } - // From Graphics Gems: - // http://tog.acm.org/resources/GraphicsGems/gems/Roots3And4.c - // (also from awt.geom.CubicCurve2D. But here we don't need as - // much accuracy and we don't want to create arrays so we use - // our own customized version). - - /* normal form: x^3 + ax^2 + bx + c = 0 */ - a /= d; - b /= d; - c /= d; - - // substitute x = y - A/3 to eliminate quadratic term: - // x^3 +Px + Q = 0 - // - // Since we actually need P/3 and Q/2 for all of the - // calculations that follow, we will calculate - // p = P/3 - // q = Q/2 - // instead and use those values for simplicity of the code. - double sq_A = a * a; - double p = 1.0/3 * (-1.0/3 * sq_A + b); - double q = 1.0/2 * (2.0/27 * a * sq_A - 1.0/3 * a * b + c); - - /* use Cardano's formula */ - - double cb_p = p * p * p; - double D = q * q + cb_p; - - int num; - if (D < 0) { - // see: http://en.wikipedia.org/wiki/Cubic_function#Trigonometric_.28and_hyperbolic.29_method - final double phi = 1.0/3 * acos(-q / sqrt(-cb_p)); - final double t = 2 * sqrt(-p); - - pts[ off+0 ] = (float)( t * cos(phi)); - pts[ off+1 ] = (float)(-t * cos(phi + PI / 3)); - pts[ off+2 ] = (float)(-t * cos(phi - PI / 3)); - num = 3; - } else { - final double sqrt_D = sqrt(D); - final double u = cbrt(sqrt_D - q); - final double v = - cbrt(sqrt_D + q); - - pts[ off ] = (float)(u + v); - num = 1; - - if (within(D, 0, 1e-8)) { - pts[off+1] = -(pts[off] / 2); - num = 2; - } - } - - final float sub = 1.0f/3 * a; - - for (int i = 0; i < num; ++i) { - pts[ off+i ] -= sub; - } - - return filterOutNotInAB(pts, off, num, A, B) - off; - } - - // These use a hardcoded factor of 2 for increasing sizes. Perhaps this - // should be provided as an argument. - static float[] widenArray(float[] in, final int cursize, final int numToAdd) { - if (in.length >= cursize + numToAdd) { - return in; - } - return Arrays.copyOf(in, 2 * (cursize + numToAdd)); - } - - static int[] widenArray(int[] in, final int cursize, final int numToAdd) { - if (in.length >= cursize + numToAdd) { - return in; - } - return Arrays.copyOf(in, 2 * (cursize + numToAdd)); - } - - static float evalCubic(final float a, final float b, - final float c, final float d, - final float t) - { - return t * (t * (t * a + b) + c) + d; - } - - static float evalQuad(final float a, final float b, - final float c, final float t) - { - return t * (t * a + b) + c; - } - - // returns the index 1 past the last valid element remaining after filtering - static int filterOutNotInAB(float[] nums, final int off, final int len, - final float a, final float b) - { - int ret = off; - for (int i = off; i < off + len; i++) { - if (nums[i] >= a && nums[i] < b) { - nums[ret++] = nums[i]; - } - } - return ret; - } - - static float polyLineLength(float[] poly, final int off, final int nCoords) { - assert nCoords % 2 == 0 && poly.length >= off + nCoords : ""; - float acc = 0; - for (int i = off + 2; i < off + nCoords; i += 2) { - acc += linelen(poly[i], poly[i+1], poly[i-2], poly[i-1]); - } - return acc; - } - - static float linelen(float x1, float y1, float x2, float y2) { - final float dx = x2 - x1; - final float dy = y2 - y1; - return (float)Math.sqrt(dx*dx + dy*dy); - } - - static void subdivide(float[] src, int srcoff, float[] left, int leftoff, - float[] right, int rightoff, int type) - { - switch(type) { - case 6: - Helpers.subdivideQuad(src, srcoff, left, leftoff, right, rightoff); - break; - case 8: - Helpers.subdivideCubic(src, srcoff, left, leftoff, right, rightoff); - break; - default: - throw new InternalError("Unsupported curve type"); - } - } - - static void isort(float[] a, int off, int len) { - for (int i = off + 1; i < off + len; i++) { - float ai = a[i]; - int j = i - 1; - for (; j >= off && a[j] > ai; j--) { - a[j+1] = a[j]; - } - a[j+1] = ai; - } - } - - // Most of these are copied from classes in java.awt.geom because we need - // float versions of these functions, and Line2D, CubicCurve2D, - // QuadCurve2D don't provide them. - /** - * Subdivides the cubic curve specified by the coordinates - * stored in the {@code src} array at indices {@code srcoff} - * through ({@code srcoff} + 7) and stores the - * resulting two subdivided curves into the two result arrays at the - * corresponding indices. - * Either or both of the {@code left} and {@code right} - * arrays may be {@code null} or a reference to the same array - * as the {@code src} array. - * Note that the last point in the first subdivided curve is the - * same as the first point in the second subdivided curve. Thus, - * it is possible to pass the same array for {@code left} - * and {@code right} and to use offsets, such as {@code rightoff} - * equals ({@code leftoff} + 6), in order - * to avoid allocating extra storage for this common point. - * @param src the array holding the coordinates for the source curve - * @param srcoff the offset into the array of the beginning of the - * the 6 source coordinates - * @param left the array for storing the coordinates for the first - * half of the subdivided curve - * @param leftoff the offset into the array of the beginning of the - * the 6 left coordinates - * @param right the array for storing the coordinates for the second - * half of the subdivided curve - * @param rightoff the offset into the array of the beginning of the - * the 6 right coordinates - * @since 1.7 - */ - static void subdivideCubic(float src[], int srcoff, - float left[], int leftoff, - float right[], int rightoff) - { - float x1 = src[srcoff + 0]; - float y1 = src[srcoff + 1]; - float ctrlx1 = src[srcoff + 2]; - float ctrly1 = src[srcoff + 3]; - float ctrlx2 = src[srcoff + 4]; - float ctrly2 = src[srcoff + 5]; - float x2 = src[srcoff + 6]; - float y2 = src[srcoff + 7]; - if (left != null) { - left[leftoff + 0] = x1; - left[leftoff + 1] = y1; - } - if (right != null) { - right[rightoff + 6] = x2; - right[rightoff + 7] = y2; - } - x1 = (x1 + ctrlx1) / 2.0f; - y1 = (y1 + ctrly1) / 2.0f; - x2 = (x2 + ctrlx2) / 2.0f; - y2 = (y2 + ctrly2) / 2.0f; - float centerx = (ctrlx1 + ctrlx2) / 2.0f; - float centery = (ctrly1 + ctrly2) / 2.0f; - ctrlx1 = (x1 + centerx) / 2.0f; - ctrly1 = (y1 + centery) / 2.0f; - ctrlx2 = (x2 + centerx) / 2.0f; - ctrly2 = (y2 + centery) / 2.0f; - centerx = (ctrlx1 + ctrlx2) / 2.0f; - centery = (ctrly1 + ctrly2) / 2.0f; - if (left != null) { - left[leftoff + 2] = x1; - left[leftoff + 3] = y1; - left[leftoff + 4] = ctrlx1; - left[leftoff + 5] = ctrly1; - left[leftoff + 6] = centerx; - left[leftoff + 7] = centery; - } - if (right != null) { - right[rightoff + 0] = centerx; - right[rightoff + 1] = centery; - right[rightoff + 2] = ctrlx2; - right[rightoff + 3] = ctrly2; - right[rightoff + 4] = x2; - right[rightoff + 5] = y2; - } - } - - - static void subdivideCubicAt(float t, float src[], int srcoff, - float left[], int leftoff, - float right[], int rightoff) - { - float x1 = src[srcoff + 0]; - float y1 = src[srcoff + 1]; - float ctrlx1 = src[srcoff + 2]; - float ctrly1 = src[srcoff + 3]; - float ctrlx2 = src[srcoff + 4]; - float ctrly2 = src[srcoff + 5]; - float x2 = src[srcoff + 6]; - float y2 = src[srcoff + 7]; - if (left != null) { - left[leftoff + 0] = x1; - left[leftoff + 1] = y1; - } - if (right != null) { - right[rightoff + 6] = x2; - right[rightoff + 7] = y2; - } - x1 = x1 + t * (ctrlx1 - x1); - y1 = y1 + t * (ctrly1 - y1); - x2 = ctrlx2 + t * (x2 - ctrlx2); - y2 = ctrly2 + t * (y2 - ctrly2); - float centerx = ctrlx1 + t * (ctrlx2 - ctrlx1); - float centery = ctrly1 + t * (ctrly2 - ctrly1); - ctrlx1 = x1 + t * (centerx - x1); - ctrly1 = y1 + t * (centery - y1); - ctrlx2 = centerx + t * (x2 - centerx); - ctrly2 = centery + t * (y2 - centery); - centerx = ctrlx1 + t * (ctrlx2 - ctrlx1); - centery = ctrly1 + t * (ctrly2 - ctrly1); - if (left != null) { - left[leftoff + 2] = x1; - left[leftoff + 3] = y1; - left[leftoff + 4] = ctrlx1; - left[leftoff + 5] = ctrly1; - left[leftoff + 6] = centerx; - left[leftoff + 7] = centery; - } - if (right != null) { - right[rightoff + 0] = centerx; - right[rightoff + 1] = centery; - right[rightoff + 2] = ctrlx2; - right[rightoff + 3] = ctrly2; - right[rightoff + 4] = x2; - right[rightoff + 5] = y2; - } - } - - static void subdivideQuad(float src[], int srcoff, - float left[], int leftoff, - float right[], int rightoff) - { - float x1 = src[srcoff + 0]; - float y1 = src[srcoff + 1]; - float ctrlx = src[srcoff + 2]; - float ctrly = src[srcoff + 3]; - float x2 = src[srcoff + 4]; - float y2 = src[srcoff + 5]; - if (left != null) { - left[leftoff + 0] = x1; - left[leftoff + 1] = y1; - } - if (right != null) { - right[rightoff + 4] = x2; - right[rightoff + 5] = y2; - } - x1 = (x1 + ctrlx) / 2.0f; - y1 = (y1 + ctrly) / 2.0f; - x2 = (x2 + ctrlx) / 2.0f; - y2 = (y2 + ctrly) / 2.0f; - ctrlx = (x1 + x2) / 2.0f; - ctrly = (y1 + y2) / 2.0f; - if (left != null) { - left[leftoff + 2] = x1; - left[leftoff + 3] = y1; - left[leftoff + 4] = ctrlx; - left[leftoff + 5] = ctrly; - } - if (right != null) { - right[rightoff + 0] = ctrlx; - right[rightoff + 1] = ctrly; - right[rightoff + 2] = x2; - right[rightoff + 3] = y2; - } - } - - static void subdivideQuadAt(float t, float src[], int srcoff, - float left[], int leftoff, - float right[], int rightoff) - { - float x1 = src[srcoff + 0]; - float y1 = src[srcoff + 1]; - float ctrlx = src[srcoff + 2]; - float ctrly = src[srcoff + 3]; - float x2 = src[srcoff + 4]; - float y2 = src[srcoff + 5]; - if (left != null) { - left[leftoff + 0] = x1; - left[leftoff + 1] = y1; - } - if (right != null) { - right[rightoff + 4] = x2; - right[rightoff + 5] = y2; - } - x1 = x1 + t * (ctrlx - x1); - y1 = y1 + t * (ctrly - y1); - x2 = ctrlx + t * (x2 - ctrlx); - y2 = ctrly + t * (y2 - ctrly); - ctrlx = x1 + t * (x2 - x1); - ctrly = y1 + t * (y2 - y1); - if (left != null) { - left[leftoff + 2] = x1; - left[leftoff + 3] = y1; - left[leftoff + 4] = ctrlx; - left[leftoff + 5] = ctrly; - } - if (right != null) { - right[rightoff + 0] = ctrlx; - right[rightoff + 1] = ctrly; - right[rightoff + 2] = x2; - right[rightoff + 3] = y2; - } - } - - static void subdivideAt(float t, float src[], int srcoff, - float left[], int leftoff, - float right[], int rightoff, int size) - { - switch(size) { - case 8: - subdivideCubicAt(t, src, srcoff, left, leftoff, right, rightoff); - break; - case 6: - subdivideQuadAt(t, src, srcoff, left, leftoff, right, rightoff); - break; - } - } -}