summaryrefslogtreecommitdiff
path: root/src/pkg/runtime/float.c
blob: 5122f359a7bff5a10b21c7304189f2ef2099fd1a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
// Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

#include "runtime.h"

static	uint64	uvnan		= 0x7FF0000000000001ULL;
static	uint64	uvinf		= 0x7FF0000000000000ULL;
static	uint64	uvneginf	= 0xFFF0000000000000ULL;

uint32
float32tobits(float32 f)
{
	// The obvious cast-and-pointer code is technically
	// not valid, and gcc miscompiles it.  Use a union instead.
	union {
		float32 f;
		uint32 i;
	} u;
	u.f = f;
	return u.i;
}

uint64
float64tobits(float64 f)
{
	// The obvious cast-and-pointer code is technically
	// not valid, and gcc miscompiles it.  Use a union instead.
	union {
		float64 f;
		uint64 i;
	} u;
	u.f = f;
	return u.i;
}

float64
float64frombits(uint64 i)
{
	// The obvious cast-and-pointer code is technically
	// not valid, and gcc miscompiles it.  Use a union instead.
	union {
		float64 f;
		uint64 i;
	} u;
	u.i = i;
	return u.f;
}

float32
float32frombits(uint32 i)
{
	// The obvious cast-and-pointer code is technically
	// not valid, and gcc miscompiles it.  Use a union instead.
	union {
		float32 f;
		uint32 i;
	} u;
	u.i = i;
	return u.f;
}

bool
isInf(float64 f, int32 sign)
{
	uint64 x;

	x = float64tobits(f);
	if(sign == 0)
		return x == uvinf || x == uvneginf;
	if(sign > 0)
		return x == uvinf;
	return x == uvneginf;
}

float64
NaN(void)
{
	return float64frombits(uvnan);
}

bool
isNaN(float64 f)
{
	uint64 x;

	x = float64tobits(f);
	return ((uint32)(x>>52) & 0x7FF) == 0x7FF && !isInf(f, 0);
}

float64
Inf(int32 sign)
{
	if(sign >= 0)
		return float64frombits(uvinf);
	else
		return float64frombits(uvneginf);
}

enum
{
	MASK	= 0x7ffL,
	SHIFT	= 64-11-1,
	BIAS	= 1022L,
};

float64
frexp(float64 d, int32 *ep)
{
	uint64 x;

	if(d == 0) {
		*ep = 0;
		return 0;
	}
	x = float64tobits(d);
	*ep = (int32)((x >> SHIFT) & MASK) - BIAS;
	x &= ~((uint64)MASK << SHIFT);
	x |= (uint64)BIAS << SHIFT;
	return float64frombits(x);
}

float64
ldexp(float64 d, int32 e)
{
	uint64 x;

	if(d == 0)
		return 0;
	x = float64tobits(d);
	e += (int32)(x >> SHIFT) & MASK;
	if(e <= 0)
		return 0;	/* underflow */
	if(e >= MASK){		/* overflow */
		if(d < 0)
			return Inf(-1);
		return Inf(1);
	}
	x &= ~((uint64)MASK << SHIFT);
	x |= (uint64)e << SHIFT;
	return float64frombits(x);
}

float64
modf(float64 d, float64 *ip)
{
	float64 dd;
	uint64 x;
	int32 e;

	if(d < 1) {
		if(d < 0) {
			d = modf(-d, ip);
			*ip = -*ip;
			return -d;
		}
		*ip = 0;
		return d;
	}

	x = float64tobits(d);
	e = (int32)((x >> SHIFT) & MASK) - BIAS;

	/*
	 * Keep the top 11+e bits; clear the rest.
	 */
	if(e <= 64-11)
		x &= ~(((uint64)1 << (64LL-11LL-e))-1);
	dd = float64frombits(x);
	*ip = dd;
	return d - dd;
}