/**
* Creates DisplacementMap effect for the bend
*
* @param node target node
* @param path path that is used to draw the opposite side of a bend Its fill is updated with
* linear gradient.
* @param shadow path that is used to draw the shadow of a bend Its fill is updated with linear
* gradient.
* @param clip path that is used to clip the content of the page either for mouse operations or
* for visuals
*/
public BookBend(final Node node, Path path, Path shadow, Path clip) {
this.node = node;
this.p = path;
this.shadow = shadow;
this.clip = clip;
node.setEffect(new DisplacementMap(map));
node.layoutBoundsProperty()
.addListener(
new InvalidationListener() {
@Override
public void invalidated(Observable arg0) {
newWidth = (int) Math.round(node.getLayoutBounds().getWidth());
newHeight = (int) Math.round(node.getLayoutBounds().getHeight());
if (newWidth != map.getWidth() || newHeight != map.getHeight()) {
setUpdateNeeded(true);
}
}
});
node.sceneProperty()
.addListener(
new ChangeListener<Scene>() {
@Override
public void changed(
ObservableValue<? extends Scene> ov, Scene oldValue, Scene newValue) {
if (newValue == null) {
stopAnimationTimer();
}
}
});
newWidth = (int) Math.round(node.getLayoutBounds().getWidth());
newHeight = (int) Math.round(node.getLayoutBounds().getHeight());
}
void drawingCommands() {
// Rotation about z:
double theta = Math.PI / 3.0;
double a11 = Math.cos(theta);
double a12 = -Math.sin(theta);
double a21 = Math.sin(theta);
double a22 = Math.cos(theta);
double[][] A = {
{a11, a12, 0, 0},
{a21, a22, 0, 0},
{0, 0, 1, 0},
{0, 0, 0, 1}
};
/*
// INSERT YOUR CODE for rotation about x by 30 degrees
double[][] B = {
};
// INSERT YOUR CODE for translation by (2,3,4)
double[][] C = {
};
double[][] temp = MatrixTool.matrixMult (B,A);
double[][] transform = MatrixTool.matrixMult (C,temp);
*/
// Replace this transform with the above after implementing
// matrices B and C
double[][] transform = A;
double x0 = 0, y0 = 0; // Center of original 2D ellipse.
double a = 7; // Major axis
double b = 4; // Minor axis
double delT = 0.25; // t-increment for drawing
d3.setDrawColor(Color.RED);
for (double t = 0; t <= 2 * Math.PI + delT; t += delT) {
double[] x = new double[4];
x[0] = a * Math.cos(t);
x[1] = b * Math.sin(t);
x[2] = 0;
x[3] = 1;
double[] z = MatrixTool.matrixVectorMult(transform, x);
d3.drawPoint(z[0], z[1], z[2]);
}
}
private static double hypot(Point2D p1, Point2D p2) {
return Math.hypot(p1.getX() - p2.getX(), p1.getY() - p2.getY());
}
/** Updates DisplacementMap and path for current coordinates. */
public void update() {
setUpdateNeeded(false);
if (newWidth == map.getWidth()
&& newHeight == map.getHeight()
&& targetX == oldTargetX
&& targetY == oldTargetY) {
return;
}
oldTargetX = targetX;
oldTargetY = targetY;
if (newWidth != map.getWidth() || newHeight != map.getHeight()) {
map.setWidth(newWidth);
map.setHeight(newHeight);
}
final double W = node.getLayoutBounds().getWidth();
final double H = node.getLayoutBounds().getHeight();
// target point F for folded corner
final double xF = Math.min(targetX, W - 1);
final double yF = Math.min(targetY, H - 1);
final Point2D F = new Point2D(xF, yF);
// corner point O
final double xO = W;
final double yO = H;
// distance between them
final double FO = Math.hypot(xF - xO, yF - yO);
final double AF = FO / 2;
final double AC = Math.min(AF * 0.5, 200);
// radius of the fold as seen along the l2 line
final double R = AC / Math.PI * 1.5;
final double BC = R;
final double flat_R = AC;
// Gradient for the line from target point to corner point
final double K = (yO - yF) / (xO - xF);
// angle of a line l1
final double ANGLE = Math.atan(1 / K);
// point A (on line l1 - the mirror line of target and corner points)
final double xA = (xO + xF) / 2;
final double yA = (yO + yF) / 2;
// end points of line l1
final double bottomX = xA - (H - yA) * K;
final double bottomY = H;
final double rightX = W;
final double rightY = yA - (W - xA) / K;
final Point2D RL1 = new Point2D(rightX, rightY);
final Point2D BL1 = new Point2D(bottomX, bottomY);
// point C (on line l2 - the line when distortion begins)
final double kC = AC / AF;
final double xC = xA - (xA - xF) * kC;
final double yC = yA - (yA - yF) * kC;
final Point2D C = new Point2D(xC, yC);
final Point2D RL2 = new Point2D(W, yC - (W - xC) / K);
final Point2D BL2 = new Point2D(xC - (H - yC) * K, H);
// point B (on line l3 - the line where distortion ends)
final double kB = BC / AC;
final double xB = xC + (xA - xC) * kB;
final double yB = yC + (yA - yC) * kB;
// Bottom ellipse calculations
final Point2D BP1 = calcIntersection(F, BL1, BL2, C);
final Point2D BP3 = BL2;
final Point2D BP2 = middle(BP1, BP3, 0.5);
final Point2D BP4 = new Point2D(xB + BP2.getX() - xC, yB + BP2.getY() - yC);
final double bE_x1 = hypot(BP2, BP3);
final double bE_y2 = -hypot(BP2, BP4);
final double bE_yc = -hypot(BP2, BL1);
final double bE_y0 = bE_y2 * bE_y2 / (2 * bE_y2 - bE_yc);
final double bE_b = bE_y0 - bE_y2;
final double bE_a = Math.sqrt(-bE_x1 * bE_x1 / bE_y0 * bE_b * bE_b / bE_yc);
// Right ellipse calculations
final Point2D RP1 = calcIntersection(F, RL1, RL2, C);
final Point2D RP3 = RL2;
final Point2D RP2 = middle(RP1, RP3, 0.5);
final Point2D RP4 = new Point2D(xB + RP2.getX() - xC, yB + RP2.getY() - yC);
final double rE_x1 = hypot(RP2, RP3);
final double rE_y2 = -hypot(RP2, RP4);
final double rE_yc = -hypot(RP2, RL1);
final double rE_y0 = rE_y2 * rE_y2 / (2 * rE_y2 - rE_yc);
final double rE_b = rE_y0 - rE_y2;
final double rE_a = Math.sqrt(-rE_x1 * rE_x1 / rE_y0 * rE_b * rE_b / rE_yc);
p.setFill(
new LinearGradient(
xF,
yF,
xO,
yO,
false,
CycleMethod.NO_CYCLE,
new Stop(0, pathColor),
new Stop((xC - xF) / (xO - xF), bendStartColor),
new Stop((xB - xF) / (xO - xF), bendEndColor)));
p.getElements()
.setAll(
new MoveTo(BP4.getX(), BP4.getY()),
ArcToBuilder.create()
.XAxisRotation(Math.toDegrees(-ANGLE))
.radiusX(bE_a)
.radiusY(bE_b)
.x(BP1.getX())
.y(BP1.getY())
.build(),
new LineTo(xF, yF),
new LineTo(RP1.getX(), RP1.getY()),
ArcToBuilder.create()
.XAxisRotation(Math.toDegrees(-ANGLE))
.radiusX(rE_a)
.radiusY(rE_b)
.x(RP4.getX())
.y(RP4.getY())
.build(),
new ClosePath());
if (shadow != null) {
double level0 = (xB - xF) / (xO - xF) - R / FO * 0.5;
double level1 = (xB - xF) / (xO - xF) + (0.3 + (200 - AC) / 200) * R / FO;
shadow.setFill(
new LinearGradient(
xF,
yF,
xO,
yO,
false,
CycleMethod.NO_CYCLE,
new Stop(level0, Color.rgb(0, 0, 0, 0.7)),
new Stop(level0 * 0.3 + level1 * 0.7, Color.rgb(0, 0, 0, 0.25)),
new Stop(level1, Color.rgb(0, 0, 0, 0.0)),
new Stop(1, Color.rgb(0, 0, 0, 0))));
shadow
.getElements()
.setAll(
new MoveTo(RP3.getX(), RP3.getY()),
ArcToBuilder.create()
.XAxisRotation(Math.toDegrees(-ANGLE))
.radiusX(rE_a)
.radiusY(rE_b)
.x(RP4.getX())
.y(RP4.getY())
.sweepFlag(true)
.build(),
new LineTo(BP4.getX(), BP4.getY()),
ArcToBuilder.create()
.XAxisRotation(Math.toDegrees(-ANGLE))
.radiusX(bE_a)
.radiusY(bE_b)
.x(BP3.getX())
.y(BP3.getY())
.sweepFlag(true)
.build(),
new LineTo(xO, yO),
new ClosePath());
}
if (clip != null) {
final Point2D RL3 = new Point2D(W, yB - (W - xB) / K);
final Point2D BL3 = new Point2D(xB - (H - yB) * K, H);
clip.getElements()
.setAll(
new MoveTo(0, 0),
RL3.getY() > 0 ? new LineTo(W, 0) : new LineTo(0, 0),
RL3.getY() >= 0
? new LineTo(RL3.getX(), RL3.getY())
: new LineTo(xB - (0 - yB) * K, 0),
BL3.getX() >= 0
? new LineTo(BL3.getX(), BL3.getY())
: new LineTo(0, yB - (0 - xB) / K),
BL3.getX() > 0 ? new LineTo(0, H) : new LineTo(0, 0),
new ClosePath());
}
final double K2 = -K;
final double C2 = BP3.getX() - K2 * H;
final double K3 = -K;
final double C3 = xB - K3 * yB;
final double STEP = Math.max(0.1, R / (buffer.length - 1));
final double HYPOT = Math.hypot(1, K);
final double yR = 1.5 * R;
double x_1 = 0, y_1 = 0, cur_len = 0;
for (double len = 0; len <= R; len += STEP) {
final int index = (int) Math.round(len / STEP);
final double angle = Math.asin(len / R);
final double y = yR * Math.cos(angle);
if (len > 0) {
cur_len += Math.hypot(y - y_1, len - x_1);
}
buffer[index][0] = (float) angle;
buffer[index][1] = (float) (cur_len * flat_R);
x_1 = len;
y_1 = y;
}
double total_len = cur_len;
for (double len = 0; len <= R; len += STEP) {
final int index = (int) Math.round(len / STEP);
final double flat_len = buffer[index][1] / total_len;
final double delta_len = flat_len - len;
final double xs = delta_len / HYPOT;
final double ys = K * delta_len / HYPOT;
buffer[index][0] = (float) (xs / W);
buffer[index][1] = (float) (ys / H);
}
for (int y = 0; y < map.getHeight(); y++) {
final double lx2 = K2 * (y + 0.5) + C2;
final double lx3 = K3 * (y + 0.5) + C3;
for (int x = 0; x < map.getWidth(); x++) {
if (x + 0.5 < lx2) {
map.setSamples(x, y, 0, 0);
} else if (x + 0.5 >= lx3 - 1) {
map.setSamples(x, y, 1, 0);
} else {
final double len = Math.abs((x + 0.5) - K2 * (y + 0.5) - C2) / HYPOT;
final int index = (int) Math.round(len / STEP);
map.setSamples(x, y, buffer[index][0], buffer[index][1]);
}
}
}
}