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How does one compute calculus?

Name: Anonymous 2010-08-21 6:08

I'm serious.

Do any known algorithms exist that are somewhat easy to implement and don't require that much computing power?

Links please!

Name: Anonymous 2010-08-21 6:25

I believe you are hoping to develop the code yourself isn't it?

If so search into automatic differentiation.

Otherwise use something like Maple or Mathematica.....

Name: Anonymous 2010-08-21 6:32

This was covered in SICP.

Name: Anonymous 2010-08-21 6:49

What kind of calculus? There's hundreds of calculi.

Name: Anonymous 2010-08-21 6:49

>>3

Yeah that's symbolic differentiation though. It's pretty inefficient. I was hoping for something better.

Name: Anonymous 2010-08-21 6:52

>>4

Differential and Integral Calculus.

Name: Anonymous 2010-08-21 7:05

I'll start you off, OP (untested, also not even correct for a general polynomial):

#include <stdlib.h>
typedef struct _polynomial {
   int num;
   float* coeffs;
   float* powers;
} Polynomial;

void differentiate(Polynomial* p) {
    int i;
    for(i = 0; i < p->num; i++) {
        p->coeffs[i] *= p->powers[i];
        p->powers[i] -= 1.0f;
    }
}

int main(int argc, char** argv) {
    Polynomial* p = malloc(sizeof(Polynomial));
    p->num = 2;
    p->coeffs = malloc(p->num * sizeof(int));
    p->powers = malloc(p->num * sizeof(int));
    p->coeffs[0] = 1.0f;
    p->coeffs[1] = 3.0f;
    p->powers[0] = 1;
    p->powers[1] = 2;
    differentiate(p);
    free(p->coeffs);
    free(p->powers);
    free(p);
    return 0;
}

Name: Anonymous 2010-11-25 14:55

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