From 8f39a00fc61897ad77a254d928e62cacb97d99a1 Mon Sep 17 00:00:00 2001
From: Anish Lakhwara <u5838848@anu.edu.au>
Date: Mon, 16 Jul 2018 22:49:54 +1000
Subject: [PATCH] still following vector field tutorial

---
 vector_field/vector_field.pde | 151 ++++++++++++++++++++++++++++++++--
 1 file changed, 145 insertions(+), 6 deletions(-)

diff --git a/vector_field/vector_field.pde b/vector_field/vector_field.pde
index bd7a357..968bf96 100644
--- a/vector_field/vector_field.pde
+++ b/vector_field/vector_field.pde
@@ -3,11 +3,11 @@ ArrayList<PVector> points = new ArrayList<PVector>();
  
 // colors used for points
 color[] pal = {
-  color(0, 91, 197),
+  color(0, 91, 233),
   color(0, 180, 252),
-  color(23, 249, 255),
-  color(223, 147, 0),
-  color(248, 190, 0)
+  color(147, 0, 255),
+  color(223, 47, 130),
+  color(248, 90, 230)
 };
  
 // global configuration
@@ -46,9 +46,17 @@ void draw() {
     point(xx, yy); //draw
  
     // placeholder for vector field calculations
-    float n = TWO_PI * noise(p.x,p.y);
-    PVector v = new PVector(n,n);
+    float n1 = 2* map(noise(p.x,p.y), 0, 1, -1, 1);
+    float n2 = 3 * map(noise(p.y/3, p.x/2), 0, 1, -1, 1);   
+    //PVector v = new PVector(cos(n),sin(n));
+   
+    float sinn = sin(n1);
+    PVector v2 = swirl(new PVector(n2, n1), 1.3);  
  
+    float xt = sq(sinn)*sinn;
+    float yt = sq(cosn)*cosn;
+ 
+    PVector v = new PVector(xt,yt);
     // v is vector from the field
     //PVector v = new PVector(0.1, 0.1);
  
@@ -60,3 +68,134 @@ void draw() {
   }
   time += 0.001;
 }
+
+PVector circle(float n) { // polar to cartesian coordinates
+  return new PVector(cos(n), sin(n));
+}
+ 
+PVector astroid(float n) {
+  float sinn = sin(n);
+  float cosn = cos(n);
+ 
+  float xt = sq(sinn)*sinn;
+  float yt = sq(cosn)*cosn;
+ 
+  return new PVector(xt, yt);
+}
+ 
+PVector cissoid(float n) {
+  float sinn2 = 2*sq(sin(n));
+ 
+  float xt = sinn2;
+  float yt = sinn2*tan(n);
+ 
+  return new PVector(xt, yt);
+}
+ 
+PVector kampyle(float n) {
+  float sec = 1/sin(n);
+ 
+  float xt = sec;
+  float yt = tan(n)*sec;
+ 
+  return new PVector(xt, yt);
+}
+ 
+PVector rect_hyperbola(float n) {
+  float sec = 1/sin(n);
+ 
+  float xt = 1/sin(n);
+  float yt = tan(n);
+ 
+  return new PVector(xt, yt);
+}
+ 
+final static float superformula_a = 1;
+final static float superformula_b = 1;
+final static float superformula_m = 6;
+final static float superformula_n1 = 1;
+final static float superformula_n2 = 7;
+final static float superformula_n3 = 8;
+PVector superformula(float n) {
+  float f1 = pow(abs(cos(superformula_m*n/4)/superformula_a), superformula_n2);
+  float f2 = pow(abs(sin(superformula_m*n/4)/superformula_b), superformula_n3);
+  float fr = pow(f1+f2, -1/superformula_n1);
+ 
+  float xt = cos(n)*fr;
+  float yt = sin(n)*fr;
+ 
+  return new PVector(xt, yt);
+}
+
+PVector sinusoidal(PVector v, float amount) {
+  return new PVector(amount * sin(v.x), amount * sin(v.y));
+}
+ 
+PVector waves2(PVector p, float weight) {
+  float x = weight * (p.x + 0.9 * sin(p.y * 4));
+  float y = weight * (p.y + 0.5 * sin(p.x * 5.555));
+  return new PVector(x, y);
+}
+ 
+PVector polar(PVector p, float weight) {
+  float r = p.mag();
+  float theta = atan2(p.x, p.y);
+  float x = theta / PI;
+  float y = r - 2.0;
+  return new PVector(weight * x, weight * y);
+}
+ 
+PVector swirl(PVector p, float weight) {
+  float r2 = sq(p.x)+sq(p.y);
+  float sinr = sin(r2);
+  float cosr = cos(r2);
+  float newX = 0.8 * (sinr * p.x - cosr * p.y);
+  float newY = 0.8 * (cosr * p.y + sinr * p.y);
+  return new PVector(weight * newX, weight * newY);
+}
+ 
+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);
+}
+ 
+PVector power(PVector p, float weight) {
+  float theta = atan2(p.y, p.x);
+  float sinr = sin(theta);
+  float cosr = cos(theta);
+  float pow = weight * pow(p.mag(), sinr);
+  return new PVector(pow * cosr, pow * sinr);
+}
+ 
+PVector cosine(PVector p, float weight) {
+  float pix = p.x * PI;
+  float x = weight * 0.8 * cos(pix) * cosh(p.y);
+  float y = -weight * 0.8 * sin(pix) * sinh(p.y);
+  return new PVector(x, y);
+}
+ 
+PVector cross(PVector p, float weight) {
+  float r = sqrt(1.0 / (sq(sq(p.x)-sq(p.y)))+1.0e-10);
+  return new PVector(weight * 0.8 * p.x * r, weight * 0.8 * p.y * r);
+}
+ 
+PVector vexp(PVector p, float weight) {
+  float r = weight * exp(p.x);
+  return new PVector(r * cos(p.y), r * sin(p.y));
+}
+ 
+// parametrization P={pdj_a,pdj_b,pdj_c,pdj_d}
+float pdj_a = 0.1;
+float pdj_b = 1.9;
+float pdj_c = -0.8;
+float pdj_d = -1.2;
+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)));
+}
+ 
+final float cosh(float x) { return 0.5 * (exp(x) + exp(-x));}
+final float sinh(float x) { return 0.5 * (exp(x) - exp(-x));}