speeduino/speeduino/maths.ino

81 lines
2.0 KiB
C++

#include "maths.h"
#include "globals.h"
//Replace the standard arduino map() function to use the div function instead
int fastMap(unsigned long x, int in_min, int in_max, int out_min, int out_max)
{
unsigned long a = (x - (unsigned long)in_min);
int b = (out_max - out_min);
int c = (in_max - in_min);
int d = (ldiv( (a * (long)b) , (long)c ).quot);
return d + out_min;
//return ldiv( ((x - in_min) * (out_max - out_min)) , (in_max - in_min) ).quot + out_min;
//return (x - in_min) * (out_max - out_min) / (in_max - in_min) + out_min;
}
/*
The following are all fast versions of specific divisions
Ref: www.hackersdelight.org/divcMore.pdf
*/
//Unsigned divide by 10
unsigned int divu10(unsigned int n)
{
unsigned long q, r;
q = (n >> 1) + (n >> 2);
q = q + (q >> 4);
q = q + (q >> 8);
q = q + (q >> 16);
q = q >> 3;
r = n - (q * 10);
return q + ((r + 6) >> 4);
}
//Signed divide by 100
int divs100(long n)
{
return (n / 100); // Amazingly, gcc is producing a better /divide by 100 function than this
/*
long q, r;
n = n + (n>>31 & 99);
q = (n >> 1) + (n >> 3) + (n >> 6) - (n >> 10) +
(n >> 12) + (n >> 13) - (n >> 16);
q = q + (q >> 20);
q = q >> 6;
r = n - q*100;
return q + ((r + 28) >> 7);
*/
}
//Unsigned divide by 100
unsigned long divu100(unsigned long n)
{
//return (n / 100);
unsigned long q, r;
q = (n >> 1) + (n >> 3) + (n >> 6) - (n >> 10) +
(n >> 12) + (n >> 13) - (n >> 16);
q = q + (q >> 20);
q = q >> 6;
r = n - (q * 100);
return q + ((r + 28) >> 7);
}
//Return x percent of y
//This is a relatively fast approximation of a percentage value.
unsigned long percentage(byte x, unsigned long y)
{
return (y * x) / 100; //For some reason this is faster
//return divu100(y * x);
}
/*
* Calculates integer power values. Same as pow() but with ints
*/
inline long powint(int factor, unsigned int exponent)
{
long product = 1;
unsigned int counter = exponent;
while ( (counter--) > 0) { product *= factor; }
return product;
}