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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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