Comp Form: Week 3

Waves, gears, nature. . .

Problem 1. Create a function the takes as input a wavelength in pixels (float) and an amplitude (float) and draws a series of crested (upward pointing) waves.

void drawWaves(float wavelength, float amplitude, float phase){
glColor3f(1, 0, 0);
glBegin(GL_LINE_STRIP);

for (float i=0; i<2*PI*wavelength; i=i+.1) {
float x=i;
float y=sin(x*PI*2/wavelength)*amplitude + phase;
glVertex2f(10+x,y+windowH/2);
}
glEnd();

}

Problem 2. Create a function that draws a repeating hearbeat pattern, as seen on an EKG. Do this by compositing a series of sin waves.

void drawHeartbeat(float wavelength, float amplitude, float phase,float frequency){
glColor3f(1, 0, 0);
glBegin(GL_LINE_STRIP);

for (float i=0; i<2*PI*wavelength*frequency; i=i+.1) {
float x=i;
float y=sin(x*PI*2/wavelength)*amplitude + phase;
y=y+sin(x*PI*2/wavelength*.7)*amplitude + phase;

glVertex2f(10+x,y+windowH/2);
}
glEnd();

}

Problem 3. Create a function that takes as input a number of petals (int), an inner radius (float), and a petal length (float), and draws a daisy-like flower using a single continuous line loop.

void drawFlower(float r, float amplitude, float frequency, float phase){
glColor3f(1, 0, 0);
glBegin(GL_LINE_LOOP);
for(float i=0; i<PI*2; i=i+.01){
float A= i;
float rad=r+ amplitude*cos(A*frequency +phase);
float x= cos(A)*rad;
float y= sin(A)*rad;
glVertex2f(windowW/2+x,windowH/2+y);
}
glEnd();
}

Problem 4. Create a function that takes as input a number of teeth (int), an inner radius and an outer radius, and draws a flat-tooth gear as specified.

void drawGear(float r1, float r2, float frequency, float phase){
glColor3f(1, 0, 0);
glBegin(GL_LINE_LOOP);
for(float i=0; i<PI*2; i=i+.01){
float A= i;
int step=int(i/3*frequency)%2;
float rad=r1+(r2-r1)*step;
float x= cos(A)*rad;
float y= sin(A)*rad;
glVertex2f(windowW/2+x,windowH/2+y);
}
glEnd();
}

Problem 5. Create a function that takes as input a seed number (int) and generates a random blobby form using a contouring function that combines three or more low-freqency sin waves. Be sure that the sin waves make complete cycles to ensure a smooth transition from the last point to the first.

void drawBlob(float r, float amplitude, float frequency, float phase){
glColor3f(1, 0, 0);
glBegin(GL_LINE_LOOP);
for(int i=0; i<360; i++){
float A= radians(i);
float rad=r+ amplitude*cos(A*frequency +phase);
float x= cos(A)*rad+ amplitude*sin(A*frequency +phase);
float y= sin(A)*rad+amplitude* cos(A*2*frequency +phase);
glVertex2f(windowW/2+x,windowH/2+y);
}
glEnd();
}

Problem 6. Find 3 photographs of either natural phenomena or industrial products that involve repeating contours or surface profiles, and create three functions to model each of them. Include the photographs inyour assignment postings

.

 void drawNautilus(){
float x=0;
float y=0;
Vec2d arcPt[1200];

glColor3f(1,0,0);
glBegin(GL_LINE_STRIP);
for (int i=0;i<3.2*360;i++){
x=cos(radians(-i))*i*i*.00028;
y=sin(radians(-i))*i*i*.00028;

glVertex2f(windowW/2+x,windowH/2+y);
arcPt[i]=Vec2d(windowW/2+x,windowH/2+y);

}
glEnd();

glBegin(GL_LINES);
for (int i=0;i<3.2*360-360;i=i+20){
//drawArc(arcPt[i],arcPt[i+330], 100, 30);
glVertex2f(arcPt[i].x,arcPt[i].y);
glVertex2f(arcPt[i+330].x,arcPt[i+330].y);

}
glEnd();

}

//weave
void drawWeave(){
for (int i=0;i<windowW;i++){
for (int j=0;j<windowH;j++){
int x=i;
int y=j;

glBegin(GL_POINTS);

float mDist=dist(i,mouseX,j,mouseY);
float gradient=fabs(sin(radians(i*10+sin(radians(j/5+i+mDist))*80)))*.3+cos((radians(i*12+j/2)))*.2;

glColor3f(gradient, gradient, gradient);

glVertex2f(x,y);
}
}
glEnd();
}

//phylo
void drawPetal (int centerX,int centerY,float radX, float radY, float rot){
int numPoints=(radX+radY)/2;
if (numPoints<10){
numPoints=10;
}
Vec2d P;
Vec2d center(centerX,centerY);

glBegin(GL_TRIANGLE_FAN);

for (int i=0;i<numPoints;i++){
float A=2*PI/numPoints*i;

P.x=cos(A)*radX;
P.y=sin(A)*radY;

P=P+center;
glVertex2f(P.x,P.y);
}
glEnd();
}

float gm = 137.5077640500378; // golden
float spacer = 0.6176470588235294/2;  // the incremental distance

float iNodeX = 1;     // initial radius
float iNodeY = 1;
int iNode = 0;
int maxNodes=1000;
float currAngle = 0;

void drawPhylo(){
currAngle=0;
for (int i=-50;i<maxnodes;i++){></maxnodes;i++){>

spacer=.5;
currAngle += gm; // increase the angle by the gm
iNodeX = (spacer * i*.5) * sin(radians(currAngle))+ windowW/2; //radius * sin(angle) + the offset distance
iNodeY = (spacer * i*.5) * cos(radians(currAngle))+ windowH/2;

float scaleDot = currAngle / (gm*maxNodes); // value 0-1 based on distance from origin
float rad=sin(scaleDot*1.5)*10.5;
glColor3f(scaleDot,1-scaleDot,0);
drawPetal(iNodeX, iNodeY, rad ,rad, radians(currAngle)); // draws rectangle
}
}

Problem 7. Generate either a line form or solid form that reflects your personality, and changes with the mouse position.