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EZFFTBIG
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EZFFTBIG
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//This compiles and runs on Particle Build on BIGCUBE
// Updated 2.11.2015 EZU for const correctness and reference parameter passing.
// Avoids memory allocation and deallocation each time an object is passed as a parameter - performance gain.
#include <math.h>
#include "application.h"
SYSTEM_THREAD(ENABLED);
SYSTEM_MODE(AUTOMATIC); //don't connect to the internet on boot
// IMPORTANT: Set pixel COUNT, PIN and TYPE
#define PIXEL_PIN D0
#define totalPIXEL 4096
#define stripPIXEL totalPIXEL/8 //THERE IS FOUR PINS TO DRIVE EACH STRIPS
#define PIXEL_TYPE WS2812B
#define SIZE 16
#define PI 3.14159
#define DEMO_ROUTINES 1
#define FIREWORKS 3
#define FASTPLASMA 1
#define ROMAN_CANDLE 2
#define FFT_JOY 0
#define CIRCLES 4
#define PLASMA 5
#define DISPLAY_TEST 6
/**********************************
* flip variables *
* ********************************/
//accelerometer pinout
#define X A0
#define Y A1
#define Z A6
#define NUM_SAMPLES 100
int accelerometer[3];
unsigned long totals[3];
int runningAverage[3];
boolean whack[3];
boolean whacked=false;
#define WHACK_X 20
#define WHACK_Y 20
#define WHACK_Z 20
bool autoCycle=true; //start on autocycle by default
/*******************************
* fade variables *
* ****************************/
bool fading=false;
int fadeValue=255;
int fadeSpeed=2;
/* datatype definitions
*/
/** An RGB color. */
struct Color
{
unsigned char red, green, blue;
Color(int r, int g, int b) : red(r), green(g), blue(b) {}
Color() : red(0), green(0), blue(0) {}
};
/********************************
* zplasma variables *
* *****************************/
float phase = 0.0;
long fastPhase=0;
float phaseIncrement = 0.035; // Controls the speed of the moving points. Higher == faster
int fastPhaseIncrement = 1; // Controls the speed of the moving points. Higher == faster
int fastColorStretch = 4; // will divide rather than multiply
float colorStretch = 0.23; // Higher numbers will produce tighter color bands
float plasmaBrightness = 0.2;
Color plasmaColor;
/** A point in 3D space. */
struct Point
{
float x;
float y;
float z;
Point() : x(0), y(0), z(0) {}
Point(float _x, float _y, float _z) : x(_x), y(_y), z(_z) {}
};
/** An integer point in 3D space. */
struct Point_i
{
int x;
int y;
int z;
Point_i() : x(0), y(0), z(0) {}
Point_i(int _x, int _y, int _z) : x(_x), y(_y), z(_z) {}
};
struct Rocket
{
float x,y,z;
float xVel, yVel, zVel;
float gravity;
Color col;
Rocket():x((SIZE-1)/2), y(0), z((SIZE-1)/2), col(Color(255,0,0)){}
};
#define NUM_ROCKETS 50
Rocket rockets[NUM_ROCKETS];
float offset=0;
int y=0;
int yinc=1;
int maxBrightness=50;
int demo=FIREWORKS;
#define MICROPHONE A7
#define GAIN_CONTROL D5
/*********************************
* FFTJoy variables *
* *******************************/
#define M 5
float real[(int)pow(2,M)];
float imaginary[(int)pow(2,M)];
float maxValue=0;
float sample;
/******************************
* fireworks variables *
* ****************************/
int centerX, centerY, centerZ;
int launchX, launchZ;
int red, green, blue;
float radius=0;
float speed;
bool showRocket;
bool exploded;
bool dead;
float xInc, yInc, zInc;
float rocketX, rocketY, rocketZ;
float launchTime;
int maxSize;
int fireworkRes;
Color rocketColor, fireworkColor;
uint8_t PIXEL_RGB[totalPIXEL*3]; //EACH PIXELS HAS 3 BYTES DATA
// function prototypes
int displayTestIteration=0;
void displayTest();
void initFireworks();
void initCircles();
void initRockets();
void initCloudButton();
void initAccelerometer();
void setVoxel(int x, int y, int z, const Color& col);
void setVoxel(const Point& p, const Color& col);
Color getVoxel(int x, int y, int z);
Color getVoxel(const Point& p);
void line(const Point& p1, const Point& p2, const Color& col);
void line(int x1, int y1, int z1, int x2, int y2, int z2, const Color& col);
void sphere(const Point& center, float radius, const Color& col);
void sphere(const Point& center, float radius, const Color& col, int res);
void sphere(float x, float y, float z, float radius, const Color& col);
void sphere(float x, float y, float z, float radius, const Color& col, int res);
void background(const Color& col);
Color colorMap(float val, float minVal, float maxVal);
Color lerpColor(const Color& a, const Color& b, int val, int minVal, int maxVal);
Point add(const Point& a, const Point& b);
void fft_joy();
short FFT(short int dir,int m,float *x,float *y);
void fade();
void mirror();
void updateFireworks();
void circles();
void show();
void setFadeSpeed();
void prepRocket();
float distance(float x, float y, float z, float x1, float y1, float z1);
int frame;
Point poly1[4];
float poly1Angles[4];
float poly1AnglesInc[4];
Point poly2[4];
float poly2Angles[4];
float poly2AnglesInc[4];
Point poly3[4];
float poly3Angles[4];
float poly3AnglesInc[4];
float poly1Color, poly2Color, poly3Color;
float poly1ColorInc=0.001, poly2ColorInc=0.0005, poly3ColorInc=0.0007;
Point center;
unsigned int lastDemo=0;
#define DEMO_TIME 30000
int timeout=0;
bool onlinePressed=false;
bool lastOnline=true;
#define BUTTON D6 //press this button to connect to the internet
#define MODE D4
void setup()
{
randomSeed(analogRead(A0));
Serial.begin(115200);
pinMode(GAIN_CONTROL, OUTPUT);
digitalWrite(GAIN_CONTROL, LOW);
initFireworks();
initCircles();
initRockets();
initCloudButton();
initAccelerometer();
pinMode(D0,OUTPUT); //PB7
pinMode(D1,OUTPUT); //PB6
pinMode(D2,OUTPUT); //BP5
pinMode(D3,OUTPUT); //PB4
pinMode(A2,OUTPUT); //PA4
pinMode(A3,OUTPUT); //PA5
pinMode(A4,OUTPUT); //BA6
pinMode(A5,OUTPUT); //PA7
pinMode(D7, OUTPUT);
digitalWrite(D7, HIGH);
}
//initializes the running average values for the accelerometer
//I just set them to the first reading of the accelerometer on boot -- this is an imperfect method,
//but it gets the rolling average very close it its eventual value
//I chose to base it off of each cube's individual ADC reading, rather than hardcode the values from my sample cube
void initAccelerometer()
{
runningAverage[0]=analogRead(X);
runningAverage[1]=analogRead(Y);
runningAverage[2]=analogRead(Z);
}
//sets up the online/offline switch
void initCloudButton()
{
//set the input mode for the 'connect to cloud' button
pinMode(BUTTON, INPUT_PULLUP);
pinMode(MODE, INPUT_PULLUP);
if(!digitalRead(MODE)) //if the wifi button is held down on boot, do a hard reset. At any other time, keep the firmware, but try to add new wifi creds
{
WiFi.on();
WiFi.clearCredentials();
System.factoryReset();
}
//a.k.a. onlinePressed is HIGH when the switch is set to 'online' and LOW when the switch is set to 'offline'
onlinePressed=!digitalRead(BUTTON);
if(onlinePressed)
WiFi.connect();
}
//checks to see if the 'online/offline' switch is switched
void checkCloudButton()
{
//if the 'connect to cloud' button is pressed, try to connect to wifi.
//otherwise, run the program
//note -- how does this behave when there are no wifi credentials loaded on the spark?
//onlinePressed is HIGH when the switch is _not_ connected and LOW when the switch is connected
//a.k.a. onlinePressed is HIGH when the switch is set to 'online' and LOW when the switch is set to 'offline'
onlinePressed=!digitalRead(BUTTON);
if((onlinePressed)&&(!lastOnline)) //marked as 'online'
{
lastOnline=onlinePressed;
WiFi.connect();
}
else if((!onlinePressed)&&(lastOnline)) //marked as 'offline'
{
lastOnline=onlinePressed;
WiFi.disconnect();
}
lastOnline=onlinePressed;
if(!digitalRead(MODE))
WiFi.listen();
}
/********************************
* zplasma functions *
* *****************************/
void zPlasma()
{
phase += phaseIncrement;
// The two points move along Lissajious curves, see: http://en.wikipedia.org/wiki/Lissajous_curve
// We want values that fit the LED grid: x values between 0..15, y values between 0..15, z values between 0..15
// The sin() function returns values in the range of -1.0..1.0, so scale these to our desired ranges.
// The phase value is multiplied by various constants; I chose these semi-randomly, to produce a nice motion.
Point p1 = { (sin(phase*1.000)+1.0) * 8.0, (sin(phase*1.310)+1.0) * 8.0, (sin(phase*1.380)+1.0) * 8.0};
Point p2 = { (sin(phase*1.770)+1.0) * 8.0, (sin(phase*2.865)+1.0) * 8.0, (sin(phase*1.410)+1.0) * 8.0};
Point p3 = { (sin(phase*0.250)+1.0) * 8.0, (sin(phase*0.750)+1.0) * 8.0, (sin(phase*0.380)+1.0) * 8.0};
byte row, col, dep;
// For each row
for(row=0; row<16; row++) {
float row_f = float(row); // Optimization: Keep a floating point value of the row number, instead of recasting it repeatedly.
// For each column
for(col=0; col<16; col++) {
float col_f = float(col); // Optimization.
// For each depth
for(dep=0; dep<16; dep++) {
float dep_f = float(dep); // Optimization.
// Calculate the distance between this LED, and p1.
Point dist1 = { col_f - p1.x, row_f - p1.y, dep_f - p1.z }; // The vector from p1 to this LED.
float distance1 = sqrt( dist1.x*dist1.x + dist1.y*dist1.y + dist1.z*dist1.z);
// Calculate the distance between this LED, and p2.
Point dist2 = { col_f - p2.x, row_f - p2.y, dep_f - p2.z}; // The vector from p2 to this LED.
float distance2 = sqrt( dist2.x*dist2.x + dist2.y*dist2.y + dist2.z*dist2.z);
// Calculate the distance between this LED, and p3.
Point dist3 = { col_f - p3.x, row_f - p3.y, dep_f - p3.z}; // The vector from p3 to this LED.
float distance3 = sqrt( dist3.x*dist3.x + dist3.y*dist3.y + dist3.z*dist3.z);
// Warp the distance with a sin() function. As the distance value increases, the LEDs will get light,dark,light,dark,etc...
// You can use a cos() for slightly different shading, or experiment with other functions.
float color_1 = distance1; // range: 0.0...1.0
float color_2 = distance2;
float color_3 = distance3;
float color_4 = (sin( distance1 * distance2 * colorStretch )) + 2.0 * 0.5;
// Square the color_f value to weight it towards 0. The image will be darker and have higher contrast.
color_1 *= color_1 * color_4;
color_2 *= color_2 * color_4;
color_3 *= color_3 * color_4;
color_4 *= color_4;
// Scale the color up to 0..7 . Max brightness is 7.
//strip.setPixelColor(col + (8 * row), strip.Color(color_4, 0, 0) );
plasmaColor.red=color_1*plasmaBrightness;
plasmaColor.green=color_2*plasmaBrightness;
plasmaColor.blue=color_3*plasmaBrightness;
setVoxel(row,col,dep,plasmaColor);
}
}
}
}
// all inputs need to be multiplied by 572
inline int ifsin( int x )
{
// convert float to integer (32768 units times 2*pi / 360 degrees )
//int x= angle * 572;
static const int qN = 13, qA= 12, qP= 15, qR= 2*qN-qP, qS= qN+qP+1-qA;
//x *= 166886; // -- conversion to radians
x= x<<(30-qN); // 32768 steps per circle (360degrees, 2pi radians)
// shift to full s32 range (Q13->Q30)
if( (x^(x<<1)) < 0) // test for quadrant 1 or 2
x= (1<<31) - x;
x= x>>(30-qN);
// convert result to -1024..+1024
return (x * ( (3<<qP) - (x*x>>qR) ) >> qS) >> 2;
}
/********************************
* fastPlasma functions *
* *****************************/
inline unsigned int isqrt(unsigned long a) {
unsigned int rem = 0;
int root = 0;
int i;
for (i = 0; i < 16; i++) {
root <<= 1;
rem <<= 2;
rem += a >> 30;
a <<= 2;
if (root < rem) {
root++;
rem -= root;
root++;
}
}
return (unsigned short) (root >> 1);
}
void fastPlasma()
{
fastPhase += fastPhaseIncrement;
// The two points move along Lissajious curves, see: http://en.wikipedia.org/wiki/Lissajous_curve
// We want values that fit the LED grid: x values between 0..15, y values between 0..15, z values between 0..15
// The sin() function returns values in the range of -1.0..1.0, so scale these to our desired ranges.
// The phase value is multiplied by various constants; I chose these semi-randomly, to produce a nice motion.
Point_i p1 = { (ifsin(fastPhase*572)+1024)/128, (ifsin(fastPhase*749)+1024) /128, (ifsin(fastPhase*789)+1024) /128};
Point_i p2 = { (ifsin(fastPhase*1144)+1024)/128, (ifsin(fastPhase*1639)+1024) /128, (ifsin(fastPhase*807)+1024) /128};
Point_i p3 = { (ifsin(fastPhase*143)+1024)/128, (ifsin(fastPhase*429)+1024) /128, (ifsin(fastPhase*217)+1024) /128};
byte row, col, dep;
for(row=0; row<16; row++) {
for(col=0; col<16; col++) {
for(dep=0; dep<16; dep++) {
// Calculate the distance between this LED, and p1.
Point_i dist1 = { col - p1.x, row - p1.y, dep - p1.z }; // The vector from p1 to this LED.
int distance1 = isqrt( dist1.x*dist1.x + dist1.y*dist1.y + dist1.z*dist1.z);
// Calculate the distance between this LED, and p2.
Point_i dist2 = { col - p2.x, row - p2.y, dep - p2.z}; // The vector from p2 to this LED.
int distance2 = isqrt( dist2.x*dist2.x + dist2.y*dist2.y + dist2.z*dist2.z);
// Calculate the distance between this LED, and p3.
Point_i dist3 = { col - p3.x, row - p3.y, dep - p3.z}; // The vector from p3 to this LED.
int distance3 = isqrt( dist3.x*dist3.x + dist3.y*dist3.y + dist3.z*dist3.z);
// Warp the distance with a sin() function. As the distance value increases, the LEDs will get light,dark,light,dark,etc...
// You can use a cos() for slightly different shading, or experiment with other functions.
int color_1 = distance1; // range: 0...16
int color_2 = distance2;
int color_3 = distance3;
int color_4 = (ifsin( distance1 * distance2 * 143 ) + 1024) /128;
// Square the color_f value to weigh it towards 0. The image will be darker and have higher contrast.
color_1 *= color_1 * color_4;
color_2 *= color_2 * color_4;
color_3 *= color_3 * color_4;
// Scale the color up to 0..7 . Max brightness is 7.
//strip.setPixelColor(col + (8 * row), strip.Color(color_4, 0, 0) );
plasmaColor.red=color_1/290;
plasmaColor.green=color_2/290;
plasmaColor.blue=color_3/290;
setVoxel(row,col,dep,plasmaColor);
}
}
}
}
void displayTest()
{
displayTestIteration++;
Color testColor;
testColor.red=displayTestIteration%7;
testColor.green=(displayTestIteration+2)%7;
testColor.blue=(displayTestIteration+4)%7;
for(int x=0; x<16; x++)
for(int y=0; y<16; y++)
for(int z=0; z<16; z++)
setVoxel(x,y,z,testColor);
delay(50);
}
void updateAccelerometer()
{
accelerometer[0]=analogRead(X);
accelerometer[1]=analogRead(Y);
accelerometer[2]=analogRead(Z);
for(int i=0;i<3;i++)
{
totals[i]+=accelerometer[i];
//sweet running average algorithm: average[i+1]=average[i]+(sample[i]-average[i])/NUM_SAMPLES
//I average over 100 samples, or ~2.5 seconds
runningAverage[i]=runningAverage[i]+((accelerometer[i]-runningAverage[i])/NUM_SAMPLES);
whack[i]=false;
}
if(abs(accelerometer[0]-runningAverage[0])>WHACK_X)
whack[0]=true;
if(abs(accelerometer[1]-runningAverage[1])>WHACK_Y)
whack[1]=true;
if(abs(accelerometer[2]-runningAverage[2])>WHACK_Z)
whack[2]=true;
whacked=whack[0] | whack[1] | whack[2];
}
void initRockets()
{
for(int i=0;i<NUM_ROCKETS;i++)
{
rockets[i].gravity=-0.01;
rockets[i].y=0;
rockets[i].x=center.x;
rockets[i].z=center.z;
rockets[i].col=Color(255,0,0);
rockets[i].xVel=-.5;//(random(10)/10)-0.5;
rockets[i].yVel=0.25;//random(10)/10;
rockets[i].zVel=0.25;//(random(10)/10)-0.5;
}
}
void initCircles()
{
center=Point((SIZE-1)/2,(SIZE-1)/2,(SIZE-1)/2);
for(int i=0;i<4;i++)
{
poly1Angles[i]=random(6.28);
poly2Angles[i]=random(6.28);
poly3Angles[i]=random(6.28);
}
poly1AnglesInc[0]=random(10)/100 - 0.05;
poly1AnglesInc[1]=random(20)/100 - 0.1;
poly1AnglesInc[2]=random(10)/100 - 0.05;
poly1AnglesInc[3]=random(20)/100 - 0.1;
poly2AnglesInc[0]=random(20)/100 - 0.1;
poly2AnglesInc[1]=random(20)/100 - 0.1;
poly2AnglesInc[2]=random(20)/100 - 0.1;
poly2AnglesInc[3]=random(20)/100 - 0.1;
poly3AnglesInc[0]=random(20)/100 - 0.1;
poly3AnglesInc[1]=random(20)/100 - 0.1;
poly3AnglesInc[2]=random(20)/100 - 0.1;
poly3AnglesInc[3]=random(20)/100 - 0.1;
}
void romanCandle()
{
background(Color(0,0,0));
for(int i=0;i<pow(2,M);i++)
{
real[i]=analogRead(MICROPHONE)-993; //adapted for the 0.8v bias point of the big cube
delayMicroseconds(212);
imaginary[i]=0;
}
FFT(1, M, real, imaginary);
for(int i=0;i<pow(2,M);i++)
{
imaginary[i]=sqrt(pow(imaginary[i],2)+pow(real[i],2));
if(imaginary[i]>maxValue)
maxValue=imaginary[i];
}
if(maxValue>100)
maxValue--;
int rocketsToFire=0;
for(int i=0;i<pow(2,M)/2;i++)
{
imaginary[i]=SIZE*imaginary[i]/maxValue;
if(imaginary[i]>SIZE/2)
rocketsToFire++;
}
for(int i=0;i<NUM_ROCKETS;i++)
{
rockets[i].yVel+=rockets[i].gravity;
rockets[i].x+=rockets[i].xVel;
rockets[i].y+=rockets[i].yVel;
rockets[i].z+=rockets[i].zVel;
if(rockets[i].col.green>5)
rockets[i].col.green-=5;
if(rockets[i].col.blue>5)
rockets[i].col.blue-=5;
/*
Serial.print(rockets[i].col.red);
Serial.print(" ");
Serial.print(rockets[i].col.green);
Serial.print(" ");
Serial.println(rockets[i].col.blue);
setVoxel(rockets[i].x,rockets[i].y,rockets[i].z,rockets[i].col);
*/
if(rocketsToFire>0)
if(rockets[i].y<0)
{
rocketsToFire--;
rockets[i].gravity=-0.01;
rockets[i].y=0;
rockets[i].x=center.x;
rockets[i].z=center.z;
rockets[i].col=Color(random(100),random(100),random(100));
rockets[i].xVel=(float)random(10)/10;//((float)random(10)/10)-0.5;
rockets[i].yVel=(float)random(10)/10;
rockets[i].zVel=((float)random(5)/10);
}
}
for(int i=0;i<(NUM_ROCKETS%2==0?NUM_ROCKETS:NUM_ROCKETS-1);i+=2)
line(rockets[i].x*cos(offset), rockets[i].y, rockets[i].z*sin(offset),rockets[i+1].x, rockets[i+1].y, rockets[i+1].z,rockets[i].col);
offset+=0.1;
mirror();
}
void mirror()
{
for(int x=center.x;x<SIZE;x++)
for(int y=0;y<SIZE;y++)
for(int z=center.z;z<SIZE;z++)
{
setVoxel(center.x-(x-center.x),y,z, getVoxel(x,y,z));
setVoxel(center.x-(x-center.x),y,center.z-(z-center.z), getVoxel(x,y,z));
setVoxel(x,y,center.z-(z-center.z), getVoxel(x,y,z));
}
}
void loop()
{
//if the 'connect to cloud' button is pressed, try to connect to wifi.
//otherwise, run the program
checkCloudButton();
if(fading)
fade();
else
{
switch(demo%DEMO_ROUTINES)
{
/*case(FIREWORKS):
updateFireworks();
break;
case(CIRCLES):
circles();
break;
case(ROMAN_CANDLE):
romanCandle();
break;*/
case(FFT_JOY):
fft_joy();
break;
/*case(PLASMA):
zPlasma();
break;
case(FASTPLASMA):
fastPlasma();
break;
case(DISPLAY_TEST):
displayTest();
break;*/
default:
break;
}
frame++;
}
show();
if(autoCycle)
if(millis()-lastDemo>DEMO_TIME)
{
fading=true;
demo++;
lastDemo=millis();
}
if(fading)
{
fadeValue-=fadeSpeed;
//if we're done fading)
if(fadeValue<=0)
{
fading=false;
fadeValue=255;
}
else
fade();
}
//uncomment to enable whack-to-change
updateAccelerometer();
if((whacked)&&((millis()-timeout)>250))
{
autoCycle=false;
fading=true;
demo++;
timeout=millis();
}
}
void fade()
{
setFadeSpeed();
Color voxelColor;
for(int x=0;x<SIZE;x++)
for(int y=0;y<SIZE;y++)
for(int z=0;z<SIZE;z++)
{
voxelColor=getVoxel(x,y,z);
if(voxelColor.red>0)
voxelColor.red--;
if(voxelColor.green>0)
voxelColor.green--;
if(voxelColor.blue>0)
voxelColor.blue--;
setVoxel(x,y,z, voxelColor);
}
}
/********************************************
* FFT JOY functions
* *****************************************/
void fft_joy(){
for(int i=0;i<pow(2,M);i++)
{
real[i]=analogRead(MICROPHONE)-993; //adapted for the 0.8v bias point of the big cube
delayMicroseconds(212);
imaginary[i]=0;
}
FFT(1, M, real, imaginary);
for(int i=0;i<pow(2,M);i++)
{
imaginary[i]=sqrt(pow(imaginary[i],2)+pow(real[i],2));
if(imaginary[i]>maxValue)
maxValue=imaginary[i];
}
if(maxValue>100)
maxValue--;
for(int i=0;i<pow(2,M)/2;i++)
{
imaginary[i]=SIZE*imaginary[i]/maxValue;
int y;
for(y=0;y<=imaginary[i];y++)
setVoxel(i,y,SIZE-1,colorMap(y,0,SIZE));
for(;y<SIZE;y++)
setVoxel(i,y,SIZE-1,Color(0,0,0));
}
for(int z=0;z<SIZE-1;z++)
for(int x=0;x<SIZE;x++)
for(int y=0;y<SIZE;y++)
{
Color col=getVoxel(x,y,z+1);
setVoxel(x,y,z,col);
}
sample++;
if(sample>=pow(2,M))
sample-=pow(2,M);
}
short FFT(short int dir,int m,float *x,float *y)
{
int n,i,i1,j,k,i2,l,l1,l2;
float c1,c2,tx,ty,t1,t2,u1,u2,z;
/* Calculate the number of points */
n = 1;
for (i=0;i<m;i++)
n *= 2;
/* Do the bit reversal */
i2 = n >> 1;
j = 0;
for (i=0;i<n-1;i++) {
if (i < j) {
tx = x[i];
ty = y[i];
x[i] = x[j];
y[i] = y[j];
x[j] = tx;
y[j] = ty;
}
k = i2;
while (k <= j) {
j -= k;
k >>= 1;
}
j += k;
}
/* Compute the FFT */
c1 = -1.0;
c2 = 0.0;
l2 = 1;
for (l=0;l<m;l++) {
l1 = l2;
l2 <<= 1;
u1 = 1.0;
u2 = 0.0;
for (j=0;j<l1;j++) {
for (i=j;i<n;i+=l2) {
i1 = i + l1;
t1 = u1 * x[i1] - u2 * y[i1];
t2 = u1 * y[i1] + u2 * x[i1];
x[i1] = x[i] - t1;
y[i1] = y[i] - t2;
x[i] += t1;
y[i] += t2;
}
z = u1 * c1 - u2 * c2;
u2 = u1 * c2 + u2 * c1;
u1 = z;
}
c2 = sqrt((1.0 - c1) / 2.0);
if (dir == 1)
c2 = -c2;
c1 = sqrt((1.0 + c1) / 2.0);
}
/* Scaling for forward transform */
if (dir == 1) {
for (i=0;i<n;i++) {
x[i] /= n;
y[i] /= n;
}
}
return(0);
}
void circles()
{
background(Color(0,0,0));
poly1[0]=Point(center.x+(SIZE/2)*cos(poly1Angles[0]),0,center.z+(SIZE/2)*sin(poly1Angles[0]));
poly1[1]=Point(0,center.y+(SIZE/2)*cos(poly1Angles[1]),center.z+(SIZE/2)*sin(poly1Angles[1]));
poly1[2]=Point(center.x+(SIZE/2)*cos(poly1Angles[2]),SIZE-1,center.z+(SIZE/2)*sin(poly1Angles[2]));
poly1[3]=Point(SIZE-1,center.y+(SIZE/2)*cos(poly1Angles[3]),center.z+(SIZE/2)*sin(poly1Angles[3]));
poly2[0]=Point(center.x+(SIZE/2)*cos(poly2Angles[0]),center.y+(SIZE/2)*sin(poly2Angles[0]),0);
poly2[1]=Point(SIZE-1,center.y+(SIZE/2)*cos(poly2Angles[1]),center.z+(SIZE/2)*sin(poly2Angles[1]));
poly2[2]=Point(center.x+(SIZE/2)*cos(poly2Angles[2]),center.y+(SIZE/2)*sin(poly2Angles[2]),SIZE-1);
poly2[3]=Point(0,center.y+(SIZE/2)*cos(poly2Angles[3]),center.z+(SIZE/2)*sin(poly2Angles[3]));
poly3[0]=Point(center.x+(SIZE/2)*cos(poly3Angles[0]),0, center.z+(SIZE/2)*sin(poly3Angles[0]));
poly3[1]=Point(center.x+(SIZE/2)*cos(poly3Angles[1]),center.y+(SIZE/2)*cos(poly3Angles[1]),0);
poly3[2]=Point(center.x+(SIZE/2)*cos(poly3Angles[2]),SIZE-1, center.z+(SIZE/2)*sin(poly3Angles[2]));
poly3[3]=Point(center.x+(SIZE/2)*cos(poly3Angles[3]),center.y+(SIZE/2)*cos(poly3Angles[3]),SIZE-1);
for(int i=0;i<4;i++)
{
poly1Angles[i]+=poly1AnglesInc[i];
poly2Angles[i]+=poly2AnglesInc[i];
poly3Angles[i]+=poly3AnglesInc[i];
float sin1=(float)255*sin(poly1Color);
float sin2=(float)255*sin(poly2Color);
float sin3=(float)255*sin(poly3Color);
line(poly1[i], poly1[(i+1)%4], Color(abs(sin1),0,0));
line(poly2[i], poly2[(i+1)%4], Color(0,0,abs(sin2)));
line(poly3[i], poly3[(i+1)%4], Color(0,abs(sin3),0));
}
poly1Color+=poly1ColorInc;
poly2Color+=poly2ColorInc;
poly3Color+=poly3ColorInc;
}
void background(const Color& col)
{
for(int x=0;x<SIZE;x++)
for(int y=0;y<SIZE;y++)
for(int z=0;z<SIZE;z++)
setVoxel(x,y,z,col);
}
void setVoxel(int x, int y, int z, const Color& col)
{
if((x>=0)&&(x<SIZE))
if((y>=0)&&(y<SIZE))
if((z>=0)&&(z<SIZE))
{
int index=z*256+x*16+y;
PIXEL_RGB[index*3]=col.green;
PIXEL_RGB[index*3+1]=col.red;
PIXEL_RGB[index*3+2]=col.blue;
}
}
void setVoxel(const Point& p, const Color& col)
{
setVoxel(p.x, p.y, p.z, col);
}
void line(const Point& p1, const Point& p2, const Color& col)
{
line(p1.x, p1.y, p1.z, p2.x, p2.y, p2.z, col);
}
void line(int x1, int y1, int z1, int x2, int y2, int z2, const Color& col)
{
Point currentPoint;
currentPoint.x=x1;
currentPoint.y=y1;
currentPoint.z=z1;
int dx = x2 - x1;
int dy = y2 - y1;
int dz = z2 - z1;
int x_inc = (dx < 0) ? -1 : 1;
int l = abs(dx);
int y_inc = (dy < 0) ? -1 : 1;
int m = abs(dy);
int z_inc = (dz < 0) ? -1 : 1;
int n = abs(dz);
int dx2 = l << 1;
int dy2 = m << 1;
int dz2 = n << 1;
if((l >= m) && (l >= n)) {
int err_1 = dy2 - l;
int err_2 = dz2 - l;
for(int i = 0; i < l; i++) {
setVoxel(currentPoint, col);
if(err_1 > 0) {
currentPoint.y += y_inc;
err_1 -= dx2;
}
if(err_2 > 0) {
currentPoint.z += z_inc;
err_2 -= dx2;
}
err_1 += dy2;
err_2 += dz2;
currentPoint.x += x_inc;
}
} else if((m >= l) && (m >= n)) {
int err_1 = dx2 - m;
int err_2 = dz2 - m;
for(int i = 0; i < m; i++) {
setVoxel(currentPoint, col);
if(err_1 > 0) {
currentPoint.x += x_inc;
err_1 -= dy2;
}
if(err_2 > 0) {
currentPoint.z += z_inc;
err_2 -= dy2;
}
err_1 += dx2;
err_2 += dz2;
currentPoint.y += y_inc;
}
} else {
int err_1 = dy2 - n;
int err_2 = dx2 - n;
for(int i = 0; i < n; i++) {
setVoxel(currentPoint, col);
if(err_1 > 0) {
currentPoint.y += y_inc;
err_1 -= dz2;
}
if(err_2 > 0) {
currentPoint.x += x_inc;
err_2 -= dz2;
}
err_1 += dy2;
err_2 += dx2;
currentPoint.z += z_inc;
}
}
setVoxel(currentPoint, col);
}
Point add(const Point& a, const Point& b)
{
return Point(a.x+b.x, a.y+b.y, a.z+b.z);
}
// draws a hollow centered around the 'center' PVector, with radius