From dd659c517009ab707d92b50c817643836b46398b Mon Sep 17 00:00:00 2001 From: Anish Lakhwara Date: Wed, 11 Jul 2018 23:09:37 +1000 Subject: [PATCH] up to vector folds, missing cosfunc --- .fslckout | Bin 0 -> 32768 bytes folds/folds.pde | 79 +++++++++++++++++++++++++++++++ folds/pdj + hyperbolic * pdj.png | Bin 0 -> 208003 bytes vector_field/vector_field.pde | 62 ++++++++++++++++++++++++ 4 files changed, 141 insertions(+) create mode 100644 .fslckout create mode 100644 folds/folds.pde create mode 100644 folds/pdj + hyperbolic * pdj.png create mode 100644 vector_field/vector_field.pde diff --git a/.fslckout b/.fslckout new file mode 100644 index 0000000000000000000000000000000000000000..58c2e441d55ddba98a317d81a4a54893212d75bd GIT binary patch literal 32768 zcmeI*!Ef7C90&0C>NH8KM2}TORu7fl5L*&8YZ8VyuyriWJSYw6nx)dF9V$0|Nvt|? zuwS!ITqxpC+MV4vB5|4o7Y-Z{oH%ho;yrs_lWr3?M5pg-Y(M{=?f3Ji>cQ`|_5Hn; zD+TZS!N`{UI(dgsN^Wyb2w7H3RxL?Msfu2bLX!$x+*?WN=eEma@SkZ{Y}_y 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z|G&lGVB8u6AOHafKmY;|fB*y_009UPx# literal 0 HcmV?d00001 diff --git a/folds/folds.pde b/folds/folds.pde new file mode 100644 index 0000000..e8347b1 --- /dev/null +++ b/folds/folds.pde @@ -0,0 +1,79 @@ +void setup() { + size(600, 600); + background(0); + smooth(8); + noFill(); + stroke(250, 15); + strokeWeight(0.9); + + x1=y1=-3; + x2=y2=3; + y=y1; + step=(x2-x1)/(2.321*width); +} + +float x1, y1, x2, y2; // function domain +float step; // step within domain +float y; + +boolean go = true; +void draw() { + if (go) { + for (int i=0; (i<20)&go; i++) { // draw 20 lines at once + for (float x=x1; x<=x2; x+=step) { + drawVariation(x, y); + } + y+=step; + if (y>y2) { + go = false; + println("done"); + //save("pdj + hyperbolic * pdj.png"); + } + } + } +} + +void drawVariation(float x, float y) { + PVector v = new PVector(x, y); + float amount = 2.0; + v = addF(pdj(v,amount),mulF(hyperbolic(v,amount),pdj(v,amount))); + + //wrapping + v.x = (v.x - x1) % (x2-x1); + if(v.x<0) v.x += (x2-x1); + v.y = (v.y - y1) % (y2-y1); + if(v.y<0) v.y += (y2-y1); + v.x += x1; + v.y += y1; + + float xx = map(v.x+0.003*randomGaussian(), x1, x2, 20, width-20); + float yy = map(v.y+0.003*randomGaussian(), y1, y2, 20, height-20); + point(xx, yy); +} + +PVector sinusoidal(PVector v, float amount) { + return new PVector(amount * sin(v.x), amount * sin(v.y)); +} + +PVector hyperbolic(PVector v, float amount) { + float r = v.mag() + 1.0e-10; + float theta = atan2(v.x, v.y); + float x = amount * sin(theta) / r; + float y = amount * cos(theta) * r; + return new PVector(x, y); +} + +// parametrization P={pdj_a,pdj_b,pdj_c,pdj_d} +float pdj_a = 0.4; +float pdj_b = 1.23; +float pdj_c = -0.3; +float pdj_d = -1.98; +PVector pdj(PVector v, float amount) { + return new PVector( amount * (sin(pdj_a * v.y) - cos(pdj_b * v.x)), + amount * (sin(pdj_c * v.x) - cos(pdj_d * v.y))); +} + +PVector addF(PVector v1, PVector v2) { return new PVector(v1.x+v2.x, v1.y+v2.y); } +PVector subF(PVector v1, PVector v2) { return 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0; // time passes by + +void setup() { + size(800, 800); + strokeWeight(0.66); + background(0, 5, 25); + noFill(); + smooth(8); + + // noiseSeed(1111); // sometimes we select one noise field + + // create points from [-3,3] range + for (float x=-3; x<=3; x+=0.07) { + for (float y=-3; y<=3; y+=0.07) { + // create point slightly distorted + PVector v = new PVector(x+randomGaussian()*0.003, y+randomGaussian()*0.003); + points.add(v); + } + } +} + +void draw() { + int point_idx = 0; // point index + for (PVector p : points) { + // map floating point coordinates to screen coordinates + float xx = map(p.x, -6.5, 6.5, 0, width); + float yy = map(p.y, -6.5, 6.5, 0, height); + + // select color from palette (index based on noise) + int cn = (int)(100*pal.length*noise(point_idx))%pal.length; + stroke(pal[cn], 15); + point(xx, yy); //draw + + // placeholder for vector field calculations + float n = TWO_PI * noise(p.x,p.y); + PVector v = new PVector(n,n); + + // v is vector from the field + //PVector v = new PVector(0.1, 0.1); + + p.x += vector_scale * v.x; + p.y += vector_scale * v.y; + + // go to the next point + point_idx++; + } + time += 0.001; +}