| 1 | #include <math.h> |
| 2 | #include <stdint.h> |
| 3 | |
| 4 | float remquof(float x, float y, int *quo) |
| 5 | { |
| 6 | 	union {float f; uint32_t i;} ux = {x}, uy = {y}; |
| 7 | 	int ex = ux.i>>23 & 0xff; |
| 8 | 	int ey = uy.i>>23 & 0xff; |
| 9 | 	int sx = ux.i>>31; |
| 10 | 	int sy = uy.i>>31; |
| 11 | 	uint32_t q; |
| 12 | 	uint32_t i; |
| 13 | 	uint32_t uxi = ux.i; |
| 14 | |
| 15 | 	*quo = 0; |
| 16 | 	if (uy.i<<1 == 0 || isnan(y) || ex == 0xff) |
| 17 | 		return (x*y)/(x*y); |
| 18 | 	if (ux.i<<1 == 0) |
| 19 | 		return x; |
| 20 | |
| 21 | 	/* normalize x and y */ |
| 22 | 	if (!ex) { |
| 23 | 		for (i = uxi<<9; i>>31 == 0; ex--, i <<= 1); |
| 24 | 		uxi <<= -ex + 1; |
| 25 | 	} else { |
| 26 | 		uxi &= -1U >> 9; |
| 27 | 		uxi |= 1U << 23; |
| 28 | 	} |
| 29 | 	if (!ey) { |
| 30 | 		for (i = uy.i<<9; i>>31 == 0; ey--, i <<= 1); |
| 31 | 		uy.i <<= -ey + 1; |
| 32 | 	} else { |
| 33 | 		uy.i &= -1U >> 9; |
| 34 | 		uy.i |= 1U << 23; |
| 35 | 	} |
| 36 | |
| 37 | 	q = 0; |
| 38 | 	if (ex < ey) { |
| 39 | 		if (ex+1 == ey) |
| 40 | 			goto end; |
| 41 | 		return x; |
| 42 | 	} |
| 43 | |
| 44 | 	/* x mod y */ |
| 45 | 	for (; ex > ey; ex--) { |
| 46 | 		i = uxi - uy.i; |
| 47 | 		if (i >> 31 == 0) { |
| 48 | 			uxi = i; |
| 49 | 			q++; |
| 50 | 		} |
| 51 | 		uxi <<= 1; |
| 52 | 		q <<= 1; |
| 53 | 	} |
| 54 | 	i = uxi - uy.i; |
| 55 | 	if (i >> 31 == 0) { |
| 56 | 		uxi = i; |
| 57 | 		q++; |
| 58 | 	} |
| 59 | 	if (uxi == 0) |
| 60 | 		ex = -30; |
| 61 | 	else |
| 62 | 		for (; uxi>>23 == 0; uxi <<= 1, ex--); |
| 63 | end: |
| 64 | 	/* scale result and decide between |x| and |x|-|y| */ |
| 65 | 	if (ex > 0) { |
| 66 | 		uxi -= 1U << 23; |
| 67 | 		uxi |= (uint32_t)ex << 23; |
| 68 | 	} else { |
| 69 | 		uxi >>= -ex + 1; |
| 70 | 	} |
| 71 | 	ux.i = uxi; |
| 72 | 	x = ux.f; |
| 73 | 	if (sy) |
| 74 | 		y = -y; |
| 75 | 	if (ex == ey || (ex+1 == ey && (2*x > y || (2*x == y && q%2)))) { |
| 76 | 		x -= y; |
| 77 | 		q++; |
| 78 | 	} |
| 79 | 	q &= 0x7fffffff; |
| 80 | 	*quo = sx^sy ? -(int)q : (int)q; |
| 81 | 	return sx ? -x : x; |
| 82 | } |