80 lines
2 KiB
Plaintext
80 lines
2 KiB
Plaintext
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void setup() {
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size(600, 600);
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background(0);
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smooth(8);
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noFill();
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stroke(250, 15);
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strokeWeight(0.9);
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x1=y1=-3;
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x2=y2=3;
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y=y1;
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step=(x2-x1)/(2.321*width);
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}
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float x1, y1, x2, y2; // function domain
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float step; // step within domain
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float y;
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boolean go = true;
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void draw() {
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if (go) {
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for (int i=0; (i<20)&go; i++) { // draw 20 lines at once
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for (float x=x1; x<=x2; x+=step) {
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drawVariation(x, y);
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}
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y+=step;
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if (y>y2) {
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go = false;
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println("done");
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//save("pdj + hyperbolic * pdj.png");
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}
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}
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}
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}
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void drawVariation(float x, float y) {
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PVector v = new PVector(x, y);
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float amount = 2.0;
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v = addF(pdj(v,amount),mulF(hyperbolic(v,amount),pdj(v,amount)));
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//wrapping
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v.x = (v.x - x1) % (x2-x1);
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if(v.x<0) v.x += (x2-x1);
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v.y = (v.y - y1) % (y2-y1);
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if(v.y<0) v.y += (y2-y1);
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v.x += x1;
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v.y += y1;
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float xx = map(v.x+0.003*randomGaussian(), x1, x2, 20, width-20);
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float yy = map(v.y+0.003*randomGaussian(), y1, y2, 20, height-20);
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point(xx, yy);
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}
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PVector sinusoidal(PVector v, float amount) {
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return new PVector(amount * sin(v.x), amount * sin(v.y));
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}
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PVector hyperbolic(PVector v, float amount) {
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float r = v.mag() + 1.0e-10;
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float theta = atan2(v.x, v.y);
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float x = amount * sin(theta) / r;
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float y = amount * cos(theta) * r;
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return new PVector(x, y);
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}
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// parametrization P={pdj_a,pdj_b,pdj_c,pdj_d}
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float pdj_a = 0.4;
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float pdj_b = 1.23;
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float pdj_c = -0.3;
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float pdj_d = -1.98;
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PVector pdj(PVector v, float amount) {
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return new PVector( amount * (sin(pdj_a * v.y) - cos(pdj_b * v.x)),
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amount * (sin(pdj_c * v.x) - cos(pdj_d * v.y)));
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}
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PVector addF(PVector v1, PVector v2) { return new PVector(v1.x+v2.x, v1.y+v2.y); }
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PVector subF(PVector v1, PVector v2) { return new PVector(v1.x-v2.x, v1.y-v2.y); }
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PVector mulF(PVector v1, PVector v2) { return new PVector(v1.x*v2.x, v1.y*v2.y); }
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PVector divF(PVector v1, PVector v2) { return new PVector(v2.x==0?0:v1.x/v2.x, v2.y==0?0:v1.y/v2.y); }
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