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| 1 // Copyright 2014 The Chromium Authors. All rights reserved. | |
| 2 // Use of this source code is governed by a BSD-style license that can be | |
| 3 // found in the LICENSE file. | |
| 4 | |
| 5 #ifndef BASE_SAFE_NUMERICS_IMPL_H_ | |
| 6 #define BASE_SAFE_NUMERICS_IMPL_H_ | |
| 7 | |
| 8 #include <limits> | |
| 9 | |
| 10 #include "base/macros.h" | |
| 11 | |
| 12 namespace base { | |
| 13 namespace internal { | |
| 14 | |
| 15 enum DstSign { | |
| 16 DST_UNSIGNED, | |
| 17 DST_SIGNED | |
| 18 }; | |
| 19 | |
| 20 enum SrcSign { | |
| 21 SRC_UNSIGNED, | |
| 22 SRC_SIGNED | |
| 23 }; | |
| 24 | |
| 25 enum DstRange { | |
| 26 OVERLAPS_RANGE, | |
| 27 CONTAINS_RANGE | |
| 28 }; | |
| 29 | |
| 30 // Helper templates to statically determine if our destination type can contain | |
| 31 // all values represented by the source type. | |
| 32 | |
| 33 template <typename Dst, typename Src, | |
| 34 DstSign IsDstSigned = std::numeric_limits<Dst>::is_signed ? | |
| 35 DST_SIGNED : DST_UNSIGNED, | |
| 36 SrcSign IsSrcSigned = std::numeric_limits<Src>::is_signed ? | |
| 37 SRC_SIGNED : SRC_UNSIGNED> | |
| 38 struct StaticRangeCheck {}; | |
| 39 | |
| 40 template <typename Dst, typename Src> | |
| 41 struct StaticRangeCheck<Dst, Src, DST_SIGNED, SRC_SIGNED> { | |
| 42 typedef std::numeric_limits<Dst> DstLimits; | |
| 43 typedef std::numeric_limits<Src> SrcLimits; | |
| 44 // Compare based on max_exponent, which we must compute for integrals. | |
| 45 static const size_t kDstMaxExponent = DstLimits::is_iec559 ? | |
| 46 DstLimits::max_exponent : | |
| 47 (sizeof(Dst) * 8 - 1); | |
| 48 static const size_t kSrcMaxExponent = SrcLimits::is_iec559 ? | |
| 49 SrcLimits::max_exponent : | |
| 50 (sizeof(Src) * 8 - 1); | |
| 51 static const DstRange value = kDstMaxExponent >= kSrcMaxExponent ? | |
| 52 CONTAINS_RANGE : OVERLAPS_RANGE; | |
| 53 }; | |
| 54 | |
| 55 template <typename Dst, typename Src> | |
| 56 struct StaticRangeCheck<Dst, Src, DST_UNSIGNED, SRC_UNSIGNED> { | |
| 57 static const DstRange value = sizeof(Dst) >= sizeof(Src) ? | |
| 58 CONTAINS_RANGE : OVERLAPS_RANGE; | |
| 59 }; | |
| 60 | |
| 61 template <typename Dst, typename Src> | |
| 62 struct StaticRangeCheck<Dst, Src, DST_SIGNED, SRC_UNSIGNED> { | |
| 63 typedef std::numeric_limits<Dst> DstLimits; | |
| 64 typedef std::numeric_limits<Src> SrcLimits; | |
| 65 // Compare based on max_exponent, which we must compute for integrals. | |
| 66 static const size_t kDstMaxExponent = DstLimits::is_iec559 ? | |
| 67 DstLimits::max_exponent : | |
| 68 (sizeof(Dst) * 8 - 1); | |
| 69 static const size_t kSrcMaxExponent = sizeof(Src) * 8; | |
| 70 static const DstRange value = kDstMaxExponent >= kSrcMaxExponent ? | |
| 71 CONTAINS_RANGE : OVERLAPS_RANGE; | |
| 72 }; | |
| 73 | |
| 74 template <typename Dst, typename Src> | |
| 75 struct StaticRangeCheck<Dst, Src, DST_UNSIGNED, SRC_SIGNED> { | |
| 76 static const DstRange value = OVERLAPS_RANGE; | |
| 77 }; | |
| 78 | |
| 79 | |
| 80 enum RangeCheckResult { | |
| 81 TYPE_VALID = 0, // Value can be represented by the destination type. | |
| 82 TYPE_UNDERFLOW = 1, // Value would overflow. | |
| 83 TYPE_OVERFLOW = 2, // Value would underflow. | |
| 84 TYPE_INVALID = 3 // Source value is invalid (i.e. NaN). | |
| 85 }; | |
| 86 | |
| 87 // This macro creates a RangeCheckResult from an upper and lower bound | |
| 88 // check by taking advantage of the fact that only NaN can be out of range in | |
| 89 // both directions at once. | |
| 90 #define BASE_NUMERIC_RANGE_CHECK_RESULT(is_in_upper_bound, is_in_lower_bound) \ | |
| 91 RangeCheckResult(((is_in_upper_bound) ? 0 : TYPE_OVERFLOW) | \ | |
| 92 ((is_in_lower_bound) ? 0 : TYPE_UNDERFLOW)) | |
| 93 | |
| 94 template <typename Dst, | |
| 95 typename Src, | |
| 96 DstSign IsDstSigned = std::numeric_limits<Dst>::is_signed ? | |
| 97 DST_SIGNED : DST_UNSIGNED, | |
| 98 SrcSign IsSrcSigned = std::numeric_limits<Src>::is_signed ? | |
| 99 SRC_SIGNED : SRC_UNSIGNED, | |
| 100 DstRange IsSrcRangeContained = StaticRangeCheck<Dst, Src>::value> | |
| 101 struct RangeCheckImpl {}; | |
| 102 | |
| 103 // The following templates are for ranges that must be verified at runtime. We | |
| 104 // split it into checks based on signedness to avoid confusing casts and | |
| 105 // compiler warnings on signed an unsigned comparisons. | |
| 106 | |
| 107 // Dst range always contains the result: nothing to check. | |
| 108 template <typename Dst, typename Src, DstSign IsDstSigned, SrcSign IsSrcSigned> | |
| 109 struct RangeCheckImpl<Dst, Src, IsDstSigned, IsSrcSigned, CONTAINS_RANGE> { | |
| 110 static RangeCheckResult Check(Src value) { | |
| 111 return TYPE_VALID; | |
| 112 } | |
| 113 }; | |
| 114 | |
| 115 // Signed to signed narrowing. | |
| 116 template <typename Dst, typename Src> | |
| 117 struct RangeCheckImpl<Dst, Src, DST_SIGNED, SRC_SIGNED, OVERLAPS_RANGE> { | |
| 118 static RangeCheckResult Check(Src value) { | |
| 119 typedef std::numeric_limits<Dst> DstLimits; | |
| 120 return DstLimits::is_iec559 ? | |
| 121 BASE_NUMERIC_RANGE_CHECK_RESULT( | |
| 122 value <= static_cast<Src>(DstLimits::max()), | |
| 123 value >= static_cast<Src>(DstLimits::max() * -1)) : | |
| 124 BASE_NUMERIC_RANGE_CHECK_RESULT( | |
| 125 value <= static_cast<Src>(DstLimits::max()), | |
| 126 value >= static_cast<Src>(DstLimits::min())); | |
| 127 } | |
| 128 }; | |
| 129 | |
| 130 // Unsigned to unsigned narrowing. | |
| 131 template <typename Dst, typename Src> | |
| 132 struct RangeCheckImpl<Dst, Src, DST_UNSIGNED, SRC_UNSIGNED, OVERLAPS_RANGE> { | |
| 133 static RangeCheckResult Check(Src value) { | |
| 134 typedef std::numeric_limits<Dst> DstLimits; | |
| 135 return BASE_NUMERIC_RANGE_CHECK_RESULT( | |
| 136 value <= static_cast<Src>(DstLimits::max()), true); | |
| 137 } | |
| 138 }; | |
| 139 | |
| 140 // Unsigned to signed. | |
| 141 template <typename Dst, typename Src> | |
| 142 struct RangeCheckImpl<Dst, Src, DST_SIGNED, SRC_UNSIGNED, OVERLAPS_RANGE> { | |
| 143 static RangeCheckResult Check(Src value) { | |
| 144 typedef std::numeric_limits<Dst> DstLimits; | |
| 145 return sizeof(Dst) > sizeof(Src) ? TYPE_VALID : | |
| 146 BASE_NUMERIC_RANGE_CHECK_RESULT( | |
| 147 value <= static_cast<Src>(DstLimits::max()), true); | |
| 148 } | |
| 149 }; | |
| 150 | |
| 151 // Signed to unsigned. | |
| 152 template <typename Dst, typename Src> | |
| 153 struct RangeCheckImpl<Dst, Src, DST_UNSIGNED, SRC_SIGNED, OVERLAPS_RANGE> { | |
| 154 static RangeCheckResult Check(Src value) { | |
| 155 typedef std::numeric_limits<Dst> DstLimits; | |
| 156 typedef std::numeric_limits<Src> SrcLimits; | |
| 157 // Compare based on max_exponent, which we must compute for integrals. | |
| 158 static const size_t kDstMaxExponent = sizeof(Dst) * 8; | |
| 159 static const size_t kSrcMaxExponent = SrcLimits::is_iec559 ? | |
| 160 SrcLimits::max_exponent : | |
| 161 (sizeof(Src) * 8 - 1); | |
| 162 return (kDstMaxExponent >= kSrcMaxExponent) ? | |
| 163 BASE_NUMERIC_RANGE_CHECK_RESULT(true, value >= static_cast<Src>(0)) : | |
| 164 BASE_NUMERIC_RANGE_CHECK_RESULT( | |
| 165 value <= static_cast<Src>(DstLimits::max()), | |
| 166 value >= static_cast<Src>(0)); | |
| 167 } | |
| 168 }; | |
| 169 | |
| 170 template <typename Dst, typename Src> | |
| 171 inline RangeCheckResult RangeCheck(Src value) { | |
| 172 COMPILE_ASSERT(std::numeric_limits<Src>::is_specialized, | |
| 173 argument_must_be_numeric); | |
| 174 COMPILE_ASSERT(std::numeric_limits<Dst>::is_specialized, | |
| 175 result_must_be_numeric); | |
| 176 return RangeCheckImpl<Dst, Src>::Check(value); | |
| 177 } | |
| 178 | |
| 179 } // namespace internal | |
| 180 } // namespace base | |
| 181 | |
| 182 #endif // BASE_SAFE_NUMERICS_IMPL_H_ | |
| 183 | |
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