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
|
// Ported from musl, which is MIT licensed.
// https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT
//
// https://git.musl-libc.org/cgit/musl/tree/src/math/ilogbl.c
// https://git.musl-libc.org/cgit/musl/tree/src/math/ilogbf.c
// https://git.musl-libc.org/cgit/musl/tree/src/math/ilogb.c
const std = @import("../std.zig");
const math = std.math;
const expect = std.testing.expect;
const maxInt = std.math.maxInt;
const minInt = std.math.minInt;
/// Returns the binary exponent of x as an integer.
///
/// Special Cases:
/// - ilogb(+-inf) = maxInt(i32)
/// - ilogb(+-0) = minInt(i32)
/// - ilogb(nan) = minInt(i32)
pub fn ilogb(x: anytype) i32 {
const T = @TypeOf(x);
return ilogbX(T, x);
}
pub const fp_ilogbnan = minInt(i32);
pub const fp_ilogb0 = minInt(i32);
fn ilogbX(comptime T: type, x: T) i32 {
const typeWidth = @typeInfo(T).Float.bits;
const significandBits = math.floatMantissaBits(T);
const exponentBits = math.floatExponentBits(T);
const Z = std.meta.Int(.unsigned, typeWidth);
const signBit = (@as(Z, 1) << (significandBits + exponentBits));
const maxExponent = ((1 << exponentBits) - 1);
const exponentBias = (maxExponent >> 1);
const absMask = signBit - 1;
var u = @bitCast(Z, x) & absMask;
var e = @intCast(i32, u >> significandBits);
if (e == 0) {
if (u == 0) {
math.raiseInvalid();
return fp_ilogb0;
}
// offset sign bit, exponent bits, and integer bit (if present) + bias
const offset = 1 + exponentBits + @boolToInt(T == f80) - exponentBias;
return offset - @intCast(i32, @clz(u));
}
if (e == maxExponent) {
math.raiseInvalid();
if (u > @bitCast(Z, math.inf(T))) {
return fp_ilogbnan; // u is a NaN
} else return maxInt(i32);
}
return e - exponentBias;
}
test "type dispatch" {
try expect(ilogb(@as(f32, 0.2)) == ilogbX(f32, 0.2));
try expect(ilogb(@as(f64, 0.2)) == ilogbX(f64, 0.2));
}
test "16" {
try expect(ilogbX(f16, 0.0) == fp_ilogb0);
try expect(ilogbX(f16, 0.5) == -1);
try expect(ilogbX(f16, 0.8923) == -1);
try expect(ilogbX(f16, 10.0) == 3);
try expect(ilogbX(f16, -65504) == 15);
try expect(ilogbX(f16, 2398.23) == 11);
try expect(ilogbX(f16, 0x1p-1) == -1);
try expect(ilogbX(f16, 0x1p-17) == -17);
try expect(ilogbX(f16, 0x1p-24) == -24);
}
test "32" {
try expect(ilogbX(f32, 0.0) == fp_ilogb0);
try expect(ilogbX(f32, 0.5) == -1);
try expect(ilogbX(f32, 0.8923) == -1);
try expect(ilogbX(f32, 10.0) == 3);
try expect(ilogbX(f32, -123984) == 16);
try expect(ilogbX(f32, 2398.23) == 11);
try expect(ilogbX(f32, 0x1p-1) == -1);
try expect(ilogbX(f32, 0x1p-122) == -122);
try expect(ilogbX(f32, 0x1p-127) == -127);
}
test "64" {
try expect(ilogbX(f64, 0.0) == fp_ilogb0);
try expect(ilogbX(f64, 0.5) == -1);
try expect(ilogbX(f64, 0.8923) == -1);
try expect(ilogbX(f64, 10.0) == 3);
try expect(ilogbX(f64, -123984) == 16);
try expect(ilogbX(f64, 2398.23) == 11);
try expect(ilogbX(f64, 0x1p-1) == -1);
try expect(ilogbX(f64, 0x1p-127) == -127);
try expect(ilogbX(f64, 0x1p-1012) == -1012);
try expect(ilogbX(f64, 0x1p-1023) == -1023);
}
test "80" {
try expect(ilogbX(f80, 0.0) == fp_ilogb0);
try expect(ilogbX(f80, 0.5) == -1);
try expect(ilogbX(f80, 0.8923) == -1);
try expect(ilogbX(f80, 10.0) == 3);
try expect(ilogbX(f80, -123984) == 16);
try expect(ilogbX(f80, 2398.23) == 11);
try expect(ilogbX(f80, 0x1p-1) == -1);
try expect(ilogbX(f80, 0x1p-127) == -127);
try expect(ilogbX(f80, 0x1p-1023) == -1023);
try expect(ilogbX(f80, 0x1p-16383) == -16383);
}
test "128" {
try expect(ilogbX(f128, 0.0) == fp_ilogb0);
try expect(ilogbX(f128, 0.5) == -1);
try expect(ilogbX(f128, 0.8923) == -1);
try expect(ilogbX(f128, 10.0) == 3);
try expect(ilogbX(f128, -123984) == 16);
try expect(ilogbX(f128, 2398.23) == 11);
try expect(ilogbX(f128, 0x1p-1) == -1);
try expect(ilogbX(f128, 0x1p-127) == -127);
try expect(ilogbX(f128, 0x1p-1023) == -1023);
try expect(ilogbX(f128, 0x1p-16383) == -16383);
}
test "16 special" {
try expect(ilogbX(f16, math.inf(f16)) == maxInt(i32));
try expect(ilogbX(f16, -math.inf(f16)) == maxInt(i32));
try expect(ilogbX(f16, 0.0) == minInt(i32));
try expect(ilogbX(f16, math.nan(f16)) == fp_ilogbnan);
}
test "32 special" {
try expect(ilogbX(f32, math.inf(f32)) == maxInt(i32));
try expect(ilogbX(f32, -math.inf(f32)) == maxInt(i32));
try expect(ilogbX(f32, 0.0) == minInt(i32));
try expect(ilogbX(f32, math.nan(f32)) == fp_ilogbnan);
}
test "64 special" {
try expect(ilogbX(f64, math.inf(f64)) == maxInt(i32));
try expect(ilogbX(f64, -math.inf(f64)) == maxInt(i32));
try expect(ilogbX(f64, 0.0) == minInt(i32));
try expect(ilogbX(f64, math.nan(f64)) == fp_ilogbnan);
}
test "80 special" {
try expect(ilogbX(f80, math.inf(f80)) == maxInt(i32));
try expect(ilogbX(f80, -math.inf(f80)) == maxInt(i32));
try expect(ilogbX(f80, 0.0) == minInt(i32));
try expect(ilogbX(f80, math.nan(f80)) == fp_ilogbnan);
}
test "128 special" {
try expect(ilogbX(f128, math.inf(f128)) == maxInt(i32));
try expect(ilogbX(f128, -math.inf(f128)) == maxInt(i32));
try expect(ilogbX(f128, 0.0) == minInt(i32));
try expect(ilogbX(f128, math.nan(f128)) == fp_ilogbnan);
}
|
