1 /* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
2 /* vim: set ts=8 sts=2 et sw=2 tw=80: */
3 /* This Source Code Form is subject to the terms of the Mozilla Public
4  * License, v. 2.0. If a copy of the MPL was not distributed with this
5  * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
6 
7 /*
8  * Reusable template meta-functions on types and compile-time values.  Meta-
9  * functions are placed inside the 'tl' namespace to avoid conflict with non-
10  * meta functions of the same name (e.g., mozilla::tl::FloorLog2 vs.
11  * mozilla::FloorLog2).
12  *
13  * When constexpr support becomes universal, we should probably use that instead
14  * of some of these templates, for simplicity.
15  */
16 
17 #ifndef mozilla_TemplateLib_h
18 #define mozilla_TemplateLib_h
19 
20 #include <limits.h>
21 #include <stddef.h>
22 
23 #include "mozilla/TypeTraits.h"
24 
25 namespace mozilla {
26 
27 namespace tl {
28 
29 /** Compute min/max. */
30 template <size_t Size, size_t... Rest>
31 struct Min {
32   static constexpr size_t value =
33       Size < Min<Rest...>::value ? Size : Min<Rest...>::value;
34 };
35 
36 template <size_t Size>
37 struct Min<Size> {
38   static constexpr size_t value = Size;
39 };
40 
41 template <size_t Size, size_t... Rest>
42 struct Max {
43   static constexpr size_t value =
44       Size > Max<Rest...>::value ? Size : Max<Rest...>::value;
45 };
46 
47 template <size_t Size>
48 struct Max<Size> {
49   static constexpr size_t value = Size;
50 };
51 
52 /** Compute floor(log2(i)). */
53 template <size_t I>
54 struct FloorLog2 {
55   static const size_t value = 1 + FloorLog2<I / 2>::value;
56 };
57 template <>
58 struct FloorLog2<0> { /* Error */
59 };
60 template <>
61 struct FloorLog2<1> {
62   static const size_t value = 0;
63 };
64 
65 /** Compute ceiling(log2(i)). */
66 template <size_t I>
67 struct CeilingLog2 {
68   static const size_t value = FloorLog2<2 * I - 1>::value;
69 };
70 
71 /** Round up to the nearest power of 2. */
72 template <size_t I>
73 struct RoundUpPow2 {
74   static const size_t value = size_t(1) << CeilingLog2<I>::value;
75 };
76 template <>
77 struct RoundUpPow2<0> {
78   static const size_t value = 1;
79 };
80 
81 /** Compute the number of bits in the given unsigned type. */
82 template <typename T>
83 struct BitSize {
84   static const size_t value = sizeof(T) * CHAR_BIT;
85 };
86 
87 /**
88  * Produce an N-bit mask, where N <= BitSize<size_t>::value.  Handle the
89  * language-undefined edge case when N = BitSize<size_t>::value.
90  */
91 template <size_t N>
92 struct NBitMask {
93   // Assert the precondition.  On success this evaluates to 0.  Otherwise it
94   // triggers divide-by-zero at compile time: a guaranteed compile error in
95   // C++11, and usually one in C++98.  Add this value to |value| to assure
96   // its computation.
97   static const size_t checkPrecondition =
98       0 / size_t(N < BitSize<size_t>::value);
99   static const size_t value = (size_t(1) << N) - 1 + checkPrecondition;
100 };
101 template <>
102 struct NBitMask<BitSize<size_t>::value> {
103   static const size_t value = size_t(-1);
104 };
105 
106 /**
107  * For the unsigned integral type size_t, compute a mask M for N such that
108  * for all X, !(X & M) implies X * N will not overflow (w.r.t size_t)
109  */
110 template <size_t N>
111 struct MulOverflowMask {
112   static const size_t value =
113       ~NBitMask<BitSize<size_t>::value - CeilingLog2<N>::value>::value;
114 };
115 template <>
116 struct MulOverflowMask<0> { /* Error */
117 };
118 template <>
119 struct MulOverflowMask<1> {
120   static const size_t value = 0;
121 };
122 
123 /**
124  * And<bool...> computes the logical 'and' of its argument booleans.
125  *
126  * Examples:
127  *   mozilla::t1::And<true, true>::value is true.
128  *   mozilla::t1::And<true, false>::value is false.
129  *   mozilla::t1::And<>::value is true.
130  */
131 
132 template <bool...>
133 struct And;
134 
135 template <>
136 struct And<> : public TrueType {};
137 
138 template <bool C1, bool... Cn>
139 struct And<C1, Cn...> : public Conditional<C1, And<Cn...>, FalseType>::Type {};
140 
141 }  // namespace tl
142 
143 }  // namespace mozilla
144 
145 #endif /* mozilla_TemplateLib_h */
146