processing/core/src/processing/opengl/LineStroker.java at master · dimr/processing · GitHub

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/* -*- mode: java; c-basic-offset: 2; indent-tabs-mode: nil -*- */

* 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 processing.opengl;

import processing.core.PMatrix2D;

public class LineStroker {

private LineStroker output;

private int capStyle;

private int joinStyle;

private int m00, m01;

private int m10, m11;

private int lineWidth2;

private long scaledLineWidth2;

// For any pen offset (pen_dx, pen_dy) that does not depend on

// the line orientation, the pen should be transformed so that:

// pen_dx' = m00*pen_dx + m01*pen_dy

// pen_dy' = m10*pen_dx + m11*pen_dy

// For a round pen, this means:

// pen_dx(r, theta) = r*cos(theta)

// pen_dy(r, theta) = r*sin(theta)

// pen_dx'(r, theta) = r*(m00*cos(theta) + m01*sin(theta))

// pen_dy'(r, theta) = r*(m10*cos(theta) + m11*sin(theta))

private int numPenSegments;

private int[] pen_dx;

private int[] pen_dy;

private boolean[] penIncluded;

private int[] join;

private int[] offset = new int[2];

private int[] reverse = new int[100];

private int[] miter = new int[2];

private long miterLimitSq;

private int prev;

private int rindex;

private boolean started;

private boolean lineToOrigin;

private boolean joinToOrigin;

private int sx0, sy0, sx1, sy1, x0, y0;

private int scolor0, pcolor0, color0;

private int mx0, my0, omx, omy;

private int px0, py0;

private double m00_2_m01_2;

private double m10_2_m11_2;

private double m00_m10_m01_m11;

/**

* Empty constructor. <code>setOutput</code> and <code>setParameters</code>

* must be called prior to calling any other methods.

public LineStroker() {

}

/**

* Constructs a <code>LineStroker</code>.

* @param output

* an output <code>LineStroker</code>.

* @param lineWidth

* the desired line width in pixels, in S15.16 format.

* @param capStyle

* the desired end cap style, one of <code>CAP_BUTT</code>,

* <code>CAP_ROUND</code> or <code>CAP_SQUARE</code>.

* @param joinStyle

* the desired line join style, one of <code>JOIN_MITER</code>,

* <code>JOIN_ROUND</code> or <code>JOIN_BEVEL</code>.

* @param miterLimit

* the desired miter limit, in S15.16 format.

* @param transform

* a <code>Transform4</code> object indicating the transform that has

* been previously applied to all incoming coordinates. This is

* required in order to produce consistently shaped end caps and

* joins.

public LineStroker(LineStroker output, int lineWidth, int capStyle, int joinStyle,

int miterLimit, PMatrix2D transform) {

setOutput(output);

setParameters(lineWidth, capStyle, joinStyle, miterLimit, transform);

}

/**

* Sets the output <code>LineStroker</code> of this <code>LineStroker</code>.

* @param output

* an output <code>LineStroker</code>.

public void setOutput(LineStroker output) {

this.output = output;

}

/**

* Sets the parameters of this <code>LineStroker</code>.

* @param lineWidth

* the desired line width in pixels, in S15.16 format.

* @param capStyle

* the desired end cap style, one of <code>CAP_BUTT</code>,

* <code>CAP_ROUND</code> or <code>CAP_SQUARE</code>.

* @param joinStyle

* the desired line join style, one of <code>JOIN_MITER</code>,

* <code>JOIN_ROUND</code> or <code>JOIN_BEVEL</code>.

* @param miterLimit

* the desired miter limit, in S15.16 format.

* @param transform

* a <code>Transform4</code> object indicating the transform that has

* been previously applied to all incoming coordinates. This is

* required in order to produce consistently shaped end caps and

* joins.

public void setParameters(int lineWidth, int capStyle, int joinStyle,

int miterLimit, PMatrix2D transform) {

this.m00 = LinePath.FloatToS15_16(transform.m00);

this.m01 = LinePath.FloatToS15_16(transform.m01);

this.m10 = LinePath.FloatToS15_16(transform.m10);

this.m11 = LinePath.FloatToS15_16(transform.m11);

this.lineWidth2 = lineWidth >> 1;

this.scaledLineWidth2 = ((long) m00 * lineWidth2) >> 16;

this.capStyle = capStyle;

this.joinStyle = joinStyle;

this.m00_2_m01_2 = (double) m00 * m00 + (double) m01 * m01;

this.m10_2_m11_2 = (double) m10 * m10 + (double) m11 * m11;

this.m00_m10_m01_m11 = (double) m00 * m10 + (double) m01 * m11;

double dm00 = m00 / 65536.0;

double dm01 = m01 / 65536.0;

double dm10 = m10 / 65536.0;

double dm11 = m11 / 65536.0;

double determinant = dm00 * dm11 - dm01 * dm10;

if (joinStyle == LinePath.JOIN_MITER) {

double limit = (miterLimit / 65536.0) * (lineWidth2 / 65536.0)

* determinant;

double limitSq = limit * limit;

this.miterLimitSq = (long) (limitSq * 65536.0 * 65536.0);

}

this.numPenSegments = (int) (3.14159f * lineWidth / 65536.0f);

if (pen_dx == null || pen_dx.length < numPenSegments) {

this.pen_dx = new int[numPenSegments];

this.pen_dy = new int[numPenSegments];

this.penIncluded = new boolean[numPenSegments];

this.join = new int[2 * numPenSegments];

}

for (int i = 0; i < numPenSegments; i++) {

double r = lineWidth / 2.0;

double theta = i * 2 * Math.PI / numPenSegments;

double cos = Math.cos(theta);

double sin = Math.sin(theta);

pen_dx[i] = (int) (r * (dm00 * cos + dm01 * sin));

pen_dy[i] = (int) (r * (dm10 * cos + dm11 * sin));

}

prev = LinePath.SEG_CLOSE;

rindex = 0;

started = false;

lineToOrigin = false;

}

private void computeOffset(int x0, int y0, int x1, int y1, int[] m) {

long lx = (long) x1 - (long) x0;

long ly = (long) y1 - (long) y0;

int dx, dy;

if (m00 > 0 && m00 == m11 && m01 == 0 & m10 == 0) {

long ilen = LinePath.hypot(lx, ly);

if (ilen == 0) {

dx = dy = 0;

} else {

dx = (int) ((ly * scaledLineWidth2) / ilen);

dy = (int) (-(lx * scaledLineWidth2) / ilen);

}

} else {

double dlx = x1 - x0;

double dly = y1 - y0;

double det = (double) m00 * m11 - (double) m01 * m10;

int sdet = (det > 0) ? 1 : -1;

double a = dly * m00 - dlx * m10;

double b = dly * m01 - dlx * m11;

double dh = LinePath.hypot(a, b);

double div = sdet * lineWidth2 / (65536.0 * dh);

double ddx = dly * m00_2_m01_2 - dlx * m00_m10_m01_m11;

double ddy = dly * m00_m10_m01_m11 - dlx * m10_2_m11_2;

dx = (int) (ddx * div);

dy = (int) (ddy * div);

}

m[0] = dx;

m[1] = dy;

}

private void ensureCapacity(int newrindex) {

if (reverse.length < newrindex) {

int[] tmp = new int[Math.max(newrindex, 6 * reverse.length / 5)];

System.arraycopy(reverse, 0, tmp, 0, rindex);

this.reverse = tmp;

}

private boolean isCCW(int x0, int y0, int x1, int y1, int x2, int y2) {

int dx0 = x1 - x0;

int dy0 = y1 - y0;

int dx1 = x2 - x1;

int dy1 = y2 - y1;

return (long) dx0 * dy1 < (long) dy0 * dx1;

}

private boolean side(int x, int y, int x0, int y0, int x1, int y1) {

long lx = x;

long ly = y;

long lx0 = x0;

long ly0 = y0;

long lx1 = x1;

long ly1 = y1;

return (ly0 - ly1) * lx + (lx1 - lx0) * ly + (lx0 * ly1 - lx1 * ly0) > 0;

}

private int computeRoundJoin(int cx, int cy, int xa, int ya, int xb, int yb,

int side, boolean flip, int[] join) {

int px, py;

int ncoords = 0;

boolean centerSide;

if (side == 0) {

centerSide = side(cx, cy, xa, ya, xb, yb);

} else {

centerSide = (side == 1) ? true : false;

}

for (int i = 0; i < numPenSegments; i++) {

px = cx + pen_dx[i];

py = cy + pen_dy[i];

boolean penSide = side(px, py, xa, ya, xb, yb);

if (penSide != centerSide) {

penIncluded[i] = true;

} else {

penIncluded[i] = false;

}

int start = -1, end = -1;

for (int i = 0; i < numPenSegments; i++) {

if (penIncluded[i]

&& !penIncluded[(i + numPenSegments - 1) % numPenSegments]) {

start = i;

}

if (penIncluded[i] && !penIncluded[(i + 1) % numPenSegments]) {

end = i;

}

if (end < start) {

end += numPenSegments;

}

if (start != -1 && end != -1) {

long dxa = cx + pen_dx[start] - xa;

long dya = cy + pen_dy[start] - ya;

long dxb = cx + pen_dx[start] - xb;

long dyb = cy + pen_dy[start] - yb;

boolean rev = (dxa * dxa + dya * dya > dxb * dxb + dyb * dyb);

int i = rev ? end : start;

int incr = rev ? -1 : 1;

while (true) {

int idx = i % numPenSegments;

px = cx + pen_dx[idx];

py = cy + pen_dy[idx];

join[ncoords++] = px;

join[ncoords++] = py;

if (i == (rev ? start : end)) {

break;

}

i += incr;

}

return ncoords / 2;

}

//private static final long ROUND_JOIN_THRESHOLD = 1000L;

private static final long ROUND_JOIN_THRESHOLD = 100000000L;

private static final long ROUND_JOIN_INTERNAL_THRESHOLD = 1000000000L;

private void drawRoundJoin(int x, int y, int omx, int omy, int mx, int my,

int side, int color,

boolean flip, boolean rev, long threshold) {

if ((omx == 0 && omy == 0) || (mx == 0 && my == 0)) {

return;

}

long domx = (long) omx - mx;

long domy = (long) omy - my;

long len = domx * domx + domy * domy;

if (len < threshold) {

return;

}

if (rev) {

omx = -omx;

omy = -omy;

mx = -mx;

my = -my;

}

int bx0 = x + omx;

int by0 = y + omy;

int bx1 = x + mx;

int by1 = y + my;

int npoints = computeRoundJoin(x, y, bx0, by0, bx1, by1, side, flip, join);

for (int i = 0; i < npoints; i++) {

emitLineTo(join[2 * i], join[2 * i + 1], color, rev);

}

// Return the intersection point of the lines (ix0, iy0) -> (ix1, iy1)

// and (ix0p, iy0p) -> (ix1p, iy1p) in m[0] and m[1]

private void computeMiter(int ix0, int iy0, int ix1, int iy1, int ix0p,

int iy0p, int ix1p, int iy1p, int[] m) {

long x0 = ix0;

long y0 = iy0;

long x1 = ix1;

long y1 = iy1;

long x0p = ix0p;

long y0p = iy0p;

long x1p = ix1p;

long y1p = iy1p;

long x10 = x1 - x0;

long y10 = y1 - y0;

long x10p = x1p - x0p;

long y10p = y1p - y0p;

long den = (x10 * y10p - x10p * y10) >> 16;

if (den == 0) {

m[0] = ix0;

m[1] = iy0;

return;

}

long t = (x1p * (y0 - y0p) - x0 * y10p + x0p * (y1p - y0)) >> 16;

m[0] = (int) (x0 + (t * x10) / den);

m[1] = (int) (y0 + (t * y10) / den);

}

private void drawMiter(int px0, int py0, int x0, int y0, int x1, int y1,

int omx, int omy, int mx, int my, int color,

boolean rev) {

if (mx == omx && my == omy) {

return;

}

if (px0 == x0 && py0 == y0) {

return;

}

if (x0 == x1 && y0 == y1) {

return;

}

if (rev) {

omx = -omx;

omy = -omy;

mx = -mx;

my = -my;

}

computeMiter(px0 + omx, py0 + omy, x0 + omx, y0 + omy, x0 + mx, y0 + my, x1

+ mx, y1 + my, miter);

// Compute miter length in untransformed coordinates

long dx = (long) miter[0] - x0;

long dy = (long) miter[1] - y0;

long a = (dy * m00 - dx * m10) >> 16;

long b = (dy * m01 - dx * m11) >> 16;

long lenSq = a * a + b * b;

if (lenSq < miterLimitSq) {

emitLineTo(miter[0], miter[1], color, rev);

}

public void moveTo(int x0, int y0, int c0) {

// System.out.println("LineStroker.moveTo(" + x0/65536.0 + ", " + y0/65536.0 + ")");

if (lineToOrigin) {

// not closing the path, do the previous lineTo

lineToImpl(sx0, sy0, scolor0, joinToOrigin);

lineToOrigin = false;

}

if (prev == LinePath.SEG_LINETO) {

finish();

}

this.sx0 = this.x0 = x0;

this.sy0 = this.y0 = y0;

this.scolor0 = this.color0 = c0;

this.rindex = 0;

this.started = false;

this.joinSegment = false;

this.prev = LinePath.SEG_MOVETO;

}

boolean joinSegment = false;

public void lineJoin() {

// System.out.println("LineStroker.lineJoin()");

this.joinSegment = true;

}

public void lineTo(int x1, int y1, int c1) {

// System.out.println("LineStroker.lineTo(" + x1/65536.0 + ", " + y1/65536.0 + ")");

if (lineToOrigin) {

if (x1 == sx0 && y1 == sy0) {

// staying in the starting point

return;

}

// not closing the path, do the previous lineTo

lineToImpl(sx0, sy0, scolor0, joinToOrigin);

lineToOrigin = false;

} else if (x1 == x0 && y1 == y0) {

return;

} else if (x1 == sx0 && y1 == sy0) {

lineToOrigin = true;

joinToOrigin = joinSegment;

joinSegment = false;

return;

}

lineToImpl(x1, y1, c1, joinSegment);

joinSegment = false;

}

private void lineToImpl(int x1, int y1, int c1, boolean joinSegment) {

computeOffset(x0, y0, x1, y1, offset);

int mx = offset[0];

int my = offset[1];

if (!started) {

emitMoveTo(x0 + mx, y0 + my, color0);

this.sx1 = x1;

this.sy1 = y1;

this.mx0 = mx;

this.my0 = my;

started = true;

} else {

boolean ccw = isCCW(px0, py0, x0, y0, x1, y1);

if (joinSegment) {

if (joinStyle == LinePath.JOIN_MITER) {

drawMiter(px0, py0, x0, y0, x1, y1, omx, omy, mx, my, color0, ccw);

} else if (joinStyle == LinePath.JOIN_ROUND) {

drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,

ROUND_JOIN_THRESHOLD);

}

} else {

// Draw internal joins as round

drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,

ROUND_JOIN_INTERNAL_THRESHOLD);

}

emitLineTo(x0, y0, color0, !ccw);

}

emitLineTo(x0 + mx, y0 + my, color0, false);

emitLineTo(x1 + mx, y1 + my, c1, false);

emitLineTo(x0 - mx, y0 - my, color0, true);

emitLineTo(x1 - mx, y1 - my, c1, true);

this.omx = mx;

this.omy = my;

this.px0 = x0;

this.py0 = y0;

this.pcolor0 = color0;

this.x0 = x1;

this.y0 = y1;

this.color0 = c1;

this.prev = LinePath.SEG_LINETO;

}

public void close() {

if (lineToOrigin) {

// ignore the previous lineTo

lineToOrigin = false;

}

if (!started) {

finish();

return;

}

computeOffset(x0, y0, sx0, sy0, offset);

int mx = offset[0];

int my = offset[1];

// Draw penultimate join

boolean ccw = isCCW(px0, py0, x0, y0, sx0, sy0);

if (joinSegment) {

if (joinStyle == LinePath.JOIN_MITER) {

drawMiter(px0, py0, x0, y0, sx0, sy0, omx, omy, mx, my, pcolor0, ccw);

} else if (joinStyle == LinePath.JOIN_ROUND) {

drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,

ROUND_JOIN_THRESHOLD);

}

} else {

// Draw internal joins as round

drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,

ROUND_JOIN_INTERNAL_THRESHOLD);

}

emitLineTo(x0 + mx, y0 + my, color0);

emitLineTo(sx0 + mx, sy0 + my, scolor0);

ccw = isCCW(x0, y0, sx0, sy0, sx1, sy1);

// Draw final join on the outside

if (!ccw) {

if (joinStyle == LinePath.JOIN_MITER) {

drawMiter(x0, y0, sx0, sy0, sx1, sy1, mx, my, mx0, my0, color0, false);

} else if (joinStyle == LinePath.JOIN_ROUND) {

drawRoundJoin(sx0, sy0, mx, my, mx0, my0, 0, scolor0, false, false,

ROUND_JOIN_THRESHOLD);

}

emitLineTo(sx0 + mx0, sy0 + my0, scolor0);

emitLineTo(sx0 - mx0, sy0 - my0, scolor0); // same as reverse[0], reverse[1]

// Draw final join on the inside

if (ccw) {

if (joinStyle == LinePath.JOIN_MITER) {

drawMiter(x0, y0, sx0, sy0, sx1, sy1, -mx, -my, -mx0, -my0, color0,

false);

} else if (joinStyle == LinePath.JOIN_ROUND) {

drawRoundJoin(sx0, sy0, -mx, -my, -mx0, -my0, 0, scolor0, true, false,

ROUND_JOIN_THRESHOLD);

}

emitLineTo(sx0 - mx, sy0 - my, scolor0);

emitLineTo(x0 - mx, y0 - my, color0);

for (int i = rindex - 3; i >= 0; i -= 3) {

emitLineTo(reverse[i], reverse[i + 1], reverse[i + 2]);

}

this.x0 = this.sx0;

this.y0 = this.sy0;

this.rindex = 0;

this.started = false;

this.joinSegment = false;

this.prev = LinePath.SEG_CLOSE;

emitClose();

}

public void end() {

if (lineToOrigin) {

// not closing the path, do the previous lineTo

lineToImpl(sx0, sy0, scolor0, joinToOrigin);

lineToOrigin = false;

}

if (prev == LinePath.SEG_LINETO) {

finish();

}

output.end();

this.joinSegment = false;

this.prev = LinePath.SEG_MOVETO;

}

long lineLength(long ldx, long ldy) {

long ldet = ((long) m00 * m11 - (long) m01 * m10) >> 16;

long la = (ldy * m00 - ldx * m10) / ldet;

long lb = (ldy * m01 - ldx * m11) / ldet;

long llen = (int) LinePath.hypot(la, lb);

return llen;

}

private void finish() {

if (capStyle == LinePath.CAP_ROUND) {

drawRoundJoin(x0, y0, omx, omy, -omx, -omy, 1, color0, false, false,

ROUND_JOIN_THRESHOLD);

} else if (capStyle == LinePath.CAP_SQUARE) {

long ldx = px0 - x0;

long ldy = py0 - y0;

long llen = lineLength(ldx, ldy);

if (0 < llen) {

long s = (long) lineWidth2 * 65536 / llen;

int capx = x0 - (int) (ldx * s >> 16);

int capy = y0 - (int) (ldy * s >> 16);

emitLineTo(capx + omx, capy + omy, color0);

emitLineTo(capx - omx, capy - omy, color0);

}

for (int i = rindex - 3; i >= 0; i -= 3) {

emitLineTo(reverse[i], reverse[i + 1], reverse[i + 2]);

}

this.rindex = 0;

if (capStyle == LinePath.CAP_ROUND) {

drawRoundJoin(sx0, sy0, -mx0, -my0, mx0, my0, 1, scolor0, false, false,

ROUND_JOIN_THRESHOLD);

} else if (capStyle == LinePath.CAP_SQUARE) {

long ldx = sx1 - sx0;

long ldy = sy1 - sy0;

long llen = lineLength(ldx, ldy);

if (0 < llen) {

long s = (long) lineWidth2 * 65536 / llen;

int capx = sx0 - (int) (ldx * s >> 16);

int capy = sy0 - (int) (ldy * s >> 16);

emitLineTo(capx - mx0, capy - my0, scolor0);

emitLineTo(capx + mx0, capy + my0, scolor0);

}

emitClose();

this.joinSegment = false;

}

private void emitMoveTo(int x0, int y0, int c0) {

output.moveTo(x0, y0, c0);

}

private void emitLineTo(int x1, int y1, int c1) {

output.lineTo(x1, y1, c1);

}

private void emitLineTo(int x1, int y1, int c1, boolean rev) {

if (rev) {

ensureCapacity(rindex + 3);

reverse[rindex++] = x1;

reverse[rindex++] = y1;

reverse[rindex++] = c1;

} else {

emitLineTo(x1, y1, c1);

}

private void emitClose() {

output.close();

}

processing/core/src/processing/opengl/LineStroker.java at master · dimr/processing · GitHub

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