micropython/lib/libm/fmodf.c

/*****************************************************************************/
/*****************************************************************************/
// fmodf from musl-0.9.15
/*****************************************************************************/
/*****************************************************************************/

#include "libm.h"

float fmodf(float x, float y)
{
	union {float f; uint32_t i;} ux = {x}, uy = {y};
	int ex = ux.i>>23 & 0xff;
	int ey = uy.i>>23 & 0xff;
	uint32_t sx = ux.i & 0x80000000;
	uint32_t i;
	uint32_t uxi = ux.i;

	if (uy.i<<1 == 0 || isnan(y) || ex == 0xff)
		return (x*y)/(x*y);
	if (uxi<<1 <= uy.i<<1) {
		if (uxi<<1 == uy.i<<1)
			return 0*x;
		return x;
	}

	/* normalize x and y */
	if (!ex) {
		for (i = uxi<<9; i>>31 == 0; ex--, i <<= 1);
		uxi <<= -ex + 1;
	} else {
		uxi &= -1U >> 9;
		uxi |= 1U << 23;
	}
	if (!ey) {
		for (i = uy.i<<9; i>>31 == 0; ey--, i <<= 1);
		uy.i <<= -ey + 1;
	} else {
		uy.i &= -1U >> 9;
		uy.i |= 1U << 23;
	}

	/* x mod y */
	for (; ex > ey; ex--) {
		i = uxi - uy.i;
		if (i >> 31 == 0) {
			if (i == 0)
				return 0*x;
			uxi = i;
		}
		uxi <<= 1;
	}
	i = uxi - uy.i;
	if (i >> 31 == 0) {
		if (i == 0)
			return 0*x;
		uxi = i;
	}
	for (; uxi>>23 == 0; uxi <<= 1, ex--);

	/* scale result up */
	if (ex > 0) {
		uxi -= 1U << 23;
		uxi |= (uint32_t)ex << 23;
	} else {
		uxi >>= -ex + 1;
	}
	uxi |= sx;
	ux.i = uxi;
	return ux.f;
}