1 | //===-- lib/builtins/ppc/fixunstfti.c - Convert long double->int128 *-C -*-===// |
2 | // |
3 | // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
4 | // See https://llvm.org/LICENSE.txt for license information. |
5 | // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
6 | // |
7 | //===----------------------------------------------------------------------===// |
8 | // |
9 | // This file implements converting the 128bit IBM/PowerPC long double (double- |
10 | // double) data type to an unsigned 128 bit integer. |
11 | // |
12 | //===----------------------------------------------------------------------===// |
13 | |
14 | #include "../int_math.h" |
15 | #define BIAS 1023 |
16 | |
17 | // Convert long double into an unsigned 128-bit integer. |
18 | __uint128_t __fixunstfti(long double input) { |
19 | |
20 | // If we are trying to convert a NaN, return the NaN bit pattern. |
21 | if (crt_isnan(input)) { |
22 | return ((__uint128_t)0x7FF8000000000000ll) << 64 | |
23 | (__uint128_t)0x0000000000000000ll; |
24 | } |
25 | |
26 | __uint128_t result, hiResult, loResult; |
27 | int hiExponent, loExponent, shift; |
28 | // The long double representation, with the high and low portions of |
29 | // the long double, and the corresponding bit patterns of each double. |
30 | union { |
31 | long double ld; |
32 | double d[2]; // [0] is the high double, [1] is the low double. |
33 | unsigned long long ull[2]; // High and low doubles as 64-bit integers. |
34 | } ldUnion; |
35 | |
36 | // If the long double is less than 1.0 or negative, |
37 | // return 0. |
38 | if (input < 1.0) |
39 | return 0; |
40 | |
41 | // Retrieve the 64-bit patterns of high and low doubles. |
42 | // Compute the unbiased exponent of both high and low doubles by |
43 | // removing the signs, isolating the exponent, and subtracting |
44 | // the bias from it. |
45 | ldUnion.ld = input; |
46 | hiExponent = ((ldUnion.ull[0] & 0x7FFFFFFFFFFFFFFFll) >> 52) - BIAS; |
47 | loExponent = ((ldUnion.ull[1] & 0x7FFFFFFFFFFFFFFFll) >> 52) - BIAS; |
48 | |
49 | // Convert each double into int64; they will be added to the int128 result. |
50 | // CASE 1: High or low double fits in int64 |
51 | // - Convert the each double normally into int64. |
52 | // |
53 | // CASE 2: High or low double does not fit in int64 |
54 | // - Scale the double to fit within a 64-bit integer |
55 | // - Calculate the shift (amount to scale the double by in the int128) |
56 | // - Clear all the bits of the exponent (with 0x800FFFFFFFFFFFFF) |
57 | // - Add BIAS+53 (0x4350000000000000) to exponent to correct the value |
58 | // - Scale (move) the double to the correct place in the int128 |
59 | // (Move it by 2^53 places) |
60 | // |
61 | // Note: If the high double is assumed to be positive, an unsigned conversion |
62 | // from long double to 64-bit integer is needed. The low double can be either |
63 | // positive or negative, so a signed conversion is needed to retain the result |
64 | // of the low double and to ensure it does not simply get converted to 0. |
65 | |
66 | // CASE 1 - High double fits in int64. |
67 | if (hiExponent < 63) { |
68 | hiResult = (unsigned long long)ldUnion.d[0]; |
69 | } else if (hiExponent < 128) { |
70 | // CASE 2 - High double does not fit in int64, scale and convert it. |
71 | shift = hiExponent - 54; |
72 | ldUnion.ull[0] &= 0x800FFFFFFFFFFFFFll; |
73 | ldUnion.ull[0] |= 0x4350000000000000ll; |
74 | hiResult = (unsigned long long)ldUnion.d[0]; |
75 | hiResult <<= shift; |
76 | } else { |
77 | // Detect cases for overflow. When the exponent of the high |
78 | // double is greater than 128 bits and when the long double |
79 | // input is positive, return the max 128-bit integer. |
80 | // For negative inputs with exponents > 128, return 1, like gcc. |
81 | if (ldUnion.d[0] > 0) { |
82 | return ((__uint128_t)0xFFFFFFFFFFFFFFFFll) << 64 | |
83 | (__uint128_t)0xFFFFFFFFFFFFFFFFll; |
84 | } else { |
85 | return ((__uint128_t)0x0000000000000000ll) << 64 | |
86 | (__uint128_t)0x0000000000000001ll; |
87 | } |
88 | } |
89 | |
90 | // CASE 1 - Low double fits in int64. |
91 | if (loExponent < 63) { |
92 | loResult = (long long)ldUnion.d[1]; |
93 | } else { |
94 | // CASE 2 - Low double does not fit in int64, scale and convert it. |
95 | shift = loExponent - 54; |
96 | ldUnion.ull[1] &= 0x800FFFFFFFFFFFFFll; |
97 | ldUnion.ull[1] |= 0x4350000000000000ll; |
98 | loResult = (long long)ldUnion.d[1]; |
99 | loResult <<= shift; |
100 | } |
101 | |
102 | // If the low double is negative, it may change the integer value of the |
103 | // whole number if the absolute value of its fractional part is bigger than |
104 | // the fractional part of the high double. Because both doubles cannot |
105 | // overlap, this situation only occurs when the high double has no |
106 | // fractional part. |
107 | ldUnion.ld = input; |
108 | if ((ldUnion.d[0] == (double)hiResult) && |
109 | (ldUnion.d[1] < (double)((__int128_t)loResult))) |
110 | loResult--; |
111 | |
112 | // Add the high and low doublewords together to form a 128 bit integer. |
113 | result = loResult + hiResult; |
114 | return result; |
115 | } |
116 | |