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src/java.desktop/share/classes/sun/java2d/marlin/Helpers.java
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*** 1,7 ****
/*
! * Copyright (c) 2007, 2016, 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
--- 1,7 ----
/*
! * Copyright (c) 2007, 2017, 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
*** 50,80 ****
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 > 0f) {
! 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 >= 0f) {
! zeroes[ret++] = (2f * c) / (-b - sqrtDis);
! zeroes[ret++] = (-b - sqrtDis) / (2f * a);
} else {
! zeroes[ret++] = (-b + sqrtDis) / (2f * a);
! zeroes[ret++] = (2f * c) / (-b + sqrtDis);
}
! } else if (dis == 0f) {
! t = (-b) / (2f * a);
zeroes[ret++] = t;
}
} else {
! if (b != 0f) {
t = (-c) / b;
zeroes[ret++] = t;
}
}
return ret - off;
--- 50,80 ----
static int quadraticRoots(final float a, final float b,
final float c, float[] zeroes, final int off)
{
int ret = off;
float t;
! if (a != 0.0f) {
final float dis = b*b - 4*a*c;
! if (dis > 0.0f) {
! 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 >= 0.0f) {
! zeroes[ret++] = (2.0f * c) / (-b - sqrtDis);
! zeroes[ret++] = (-b - sqrtDis) / (2.0f * a);
} else {
! zeroes[ret++] = (-b + sqrtDis) / (2.0f * a);
! zeroes[ret++] = (2.0f * c) / (-b + sqrtDis);
}
! } else if (dis == 0.0f) {
! t = (-b) / (2.0f * a);
zeroes[ret++] = t;
}
} else {
! if (b != 0.0f) {
t = (-c) / b;
zeroes[ret++] = t;
}
}
return ret - off;
*** 83,93 ****
// 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 == 0f) {
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
--- 83,93 ----
// 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 == 0.0f) {
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
*** 107,149 ****
// 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 = (1.0/3.0) * ((-1.0/3.0) * sq_A + b);
! double q = (1.0/2.0) * ((2.0/27.0) * a * sq_A - (1.0/3.0) * a * b + c);
// use Cardano's formula
double cb_p = p * p * p;
double D = q * q + cb_p;
int num;
! if (D < 0.0) {
// see: http://en.wikipedia.org/wiki/Cubic_function#Trigonometric_.28and_hyperbolic.29_method
! final double phi = (1.0/3.0) * acos(-q / sqrt(-cb_p));
! final double t = 2.0 * sqrt(-p);
! pts[ off+0 ] = (float)( t * cos(phi));
! pts[ off+1 ] = (float)(-t * cos(phi + (PI / 3.0)));
! pts[ off+2 ] = (float)(-t * cos(phi - (PI / 3.0)));
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, 0.0, 1e-8)) {
! pts[off+1] = -(pts[off] / 2f);
num = 2;
}
}
! final float sub = (1f/3f) * a;
for (int i = 0; i < num; ++i) {
pts[ off+i ] -= sub;
}
--- 107,149 ----
// 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 = (1.0d/3.0d) * ((-1.0d/3.0d) * sq_A + b);
! double q = (1.0d/2.0d) * ((2.0d/27.0d) * a * sq_A - (1.0d/3.0d) * a * b + c);
// use Cardano's formula
double cb_p = p * p * p;
double D = q * q + cb_p;
int num;
! if (D < 0.0d) {
// see: http://en.wikipedia.org/wiki/Cubic_function#Trigonometric_.28and_hyperbolic.29_method
! final double phi = (1.0d/3.0d) * acos(-q / sqrt(-cb_p));
! final double t = 2.0d * sqrt(-p);
! pts[ off+0 ] = (float) ( t * cos(phi));
! pts[ off+1 ] = (float) (-t * cos(phi + (PI / 3.0d)));
! pts[ off+2 ] = (float) (-t * cos(phi - (PI / 3.0d)));
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, 0.0d, 1e-8d)) {
! pts[off+1] = -(pts[off] / 2.0f);
num = 2;
}
}
! final float sub = (1.0f/3.0f) * a;
for (int i = 0; i < num; ++i) {
pts[ off+i ] -= sub;
}
*** 176,196 ****
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)
{
--- 176,196 ----
return ret;
}
static float polyLineLength(float[] poly, final int off, final int nCoords) {
assert nCoords % 2 == 0 && poly.length >= off + nCoords : "";
! float acc = 0.0f;
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)
{
*** 216,227 ****
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</code> array at indices <code>srcoff</code>
* through (<code>srcoff</code> + 7) and stores the
* resulting two subdivided curves into the two result arrays at the
--- 216,227 ----
a[j+1] = ai;
}
}
// Most of these are copied from classes in java.awt.geom because we need
! // both single and double precision variants of these functions, and Line2D,
! // CubicCurve2D, QuadCurve2D don't provide them.
/**
* Subdivides the cubic curve specified by the coordinates
* stored in the <code>src</code> array at indices <code>srcoff</code>
* through (<code>srcoff</code> + 7) and stores the
* resulting two subdivided curves into the two result arrays at the
*** 266,287 ****
}
if (right != null) {
right[rightoff + 6] = x2;
right[rightoff + 7] = y2;
}
! x1 = (x1 + ctrlx1) / 2f;
! y1 = (y1 + ctrly1) / 2f;
! x2 = (x2 + ctrlx2) / 2f;
! y2 = (y2 + ctrly2) / 2f;
! float centerx = (ctrlx1 + ctrlx2) / 2f;
! float centery = (ctrly1 + ctrly2) / 2f;
! ctrlx1 = (x1 + centerx) / 2f;
! ctrly1 = (y1 + centery) / 2f;
! ctrlx2 = (x2 + centerx) / 2f;
! ctrly2 = (y2 + centery) / 2f;
! centerx = (ctrlx1 + ctrlx2) / 2f;
! centery = (ctrly1 + ctrly2) / 2f;
if (left != null) {
left[leftoff + 2] = x1;
left[leftoff + 3] = y1;
left[leftoff + 4] = ctrlx1;
left[leftoff + 5] = ctrly1;
--- 266,287 ----
}
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;
*** 365,380 ****
}
if (right != null) {
right[rightoff + 4] = x2;
right[rightoff + 5] = y2;
}
! x1 = (x1 + ctrlx) / 2f;
! y1 = (y1 + ctrly) / 2f;
! x2 = (x2 + ctrlx) / 2f;
! y2 = (y2 + ctrly) / 2f;
! ctrlx = (x1 + x2) / 2f;
! ctrly = (y1 + y2) / 2f;
if (left != null) {
left[leftoff + 2] = x1;
left[leftoff + 3] = y1;
left[leftoff + 4] = ctrlx;
left[leftoff + 5] = ctrly;
--- 365,380 ----
}
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;
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