# Smoothstep (Example)

## For Smooth Interpolation between two values.

Smoothstep is a common formula used for many different applictions such as Animation and Audio. This sketch includes a Serial Printout to help you visualise the formula.

Visit danthompsonsblog.blogspot.com for the full smoothstep tutorial as well as many others. For a comprehensive overview of interpolation as well as some great Tips and Tricks visit .

///////////////////////////////////////
// Smoothstep Interpolation Example  //
///////////////////////////////////////

// Dan Thompson 2009
//
// Inpired by the code and chat on this site.
// http://sol.gfxile.net/interpolation/index.html
//
// Use this code at your own risk.
//
// This sketch was written with motion controlled timelapse photography
// in mind. I have tried to make it generic enough to understand the smoothstep
// concept so that one might adapt this powerful formula in other areas as well.
//
// For the full tutorial visit http://danthompsonsblog.blogspot.com/
//
// Usage:
// 1. Upload the sketch to the Arduino.
// 2. Click on the Serial monitor to see some visual feed back of the SMOOTHSTEP function.
// 3. Scroll throught the print out to see the SMOOTHSTEP curve.
// 4. Play with the code and addapt it to your needs! ;)

#define SMOOTHSTEP(x) ((x) * (x) * (3 - 2 * (x))) //SMOOTHSTEP expression.

int j = 0;             //Just an Iterator.
int i = 0;             //Just another Iterator.
float A = 0.0;         //Input Min Value
float B = 100.0;       //Input Max Value
float N = 100.0;       //Input number of steps for transition
float X;               //final smoothstepped value
float v;               //smoothstep expression variable

void setup() {
Serial.begin(9600);  //establish serial connection for debugging
}

void loop()
{
if (j < N)                      // Keep looping until we hit the pre-defined max number
// of steps
{
v = j / N;                    // Iteration divided by the number of steps.
v = SMOOTHSTEP(v);            // Run the smoothstep expression on v.
X = (B * v) + (A * (1 - v));  // Run the linear interpolation expression using the current
//smoothstep result.
for ( i=0; i < X ; i++)       // This loop could the relevant code for each time your
//motor steps.
{
Serial.print("1");          //Prints the number "1" for each step.
}
Serial.print("  ");           //Puts a space between each line of steps and their
//corresponding  float value
Serial.println(X);            // prints the soothstepped value
Serial.println("CLICK!!!");   // this could be where you trigger your timelapse shutter
j++;                          // Increments j by 1.
}
}