Home | History | Annotate | Download | only in numerics
      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 PDFIUM_THIRD_PARTY_BASE_SAFE_CONVERSIONS_IMPL_H_
      6 #define PDFIUM_THIRD_PARTY_BASE_SAFE_CONVERSIONS_IMPL_H_
      7 
      8 #include <assert.h>
      9 #include <limits>
     10 
     11 #include "third_party/base/macros.h"
     12 
     13 namespace pdfium {
     14 namespace base {
     15 namespace internal {
     16 
     17 // The std library doesn't provide a binary max_exponent for integers, however
     18 // we can compute one by adding one to the number of non-sign bits. This allows
     19 // for accurate range comparisons between floating point and integer types.
     20 template <typename NumericType>
     21 struct MaxExponent {
     22   static const int value = std::numeric_limits<NumericType>::is_iec559
     23                                ? std::numeric_limits<NumericType>::max_exponent
     24                                : (sizeof(NumericType) * 8 + 1 -
     25                                   std::numeric_limits<NumericType>::is_signed);
     26 };
     27 
     28 enum IntegerRepresentation {
     29   INTEGER_REPRESENTATION_UNSIGNED,
     30   INTEGER_REPRESENTATION_SIGNED
     31 };
     32 
     33 // A range for a given nunmeric Src type is contained for a given numeric Dst
     34 // type if both numeric_limits<Src>::max() <= numeric_limits<Dst>::max() and
     35 // numeric_limits<Src>::min() >= numeric_limits<Dst>::min() are true.
     36 // We implement this as template specializations rather than simple static
     37 // comparisons to ensure type correctness in our comparisons.
     38 enum NumericRangeRepresentation {
     39   NUMERIC_RANGE_NOT_CONTAINED,
     40   NUMERIC_RANGE_CONTAINED
     41 };
     42 
     43 // Helper templates to statically determine if our destination type can contain
     44 // maximum and minimum values represented by the source type.
     45 
     46 template <
     47     typename Dst,
     48     typename Src,
     49     IntegerRepresentation DstSign = std::numeric_limits<Dst>::is_signed
     50                                             ? INTEGER_REPRESENTATION_SIGNED
     51                                             : INTEGER_REPRESENTATION_UNSIGNED,
     52     IntegerRepresentation SrcSign =
     53         std::numeric_limits<Src>::is_signed
     54             ? INTEGER_REPRESENTATION_SIGNED
     55             : INTEGER_REPRESENTATION_UNSIGNED >
     56 struct StaticDstRangeRelationToSrcRange;
     57 
     58 // Same sign: Dst is guaranteed to contain Src only if its range is equal or
     59 // larger.
     60 template <typename Dst, typename Src, IntegerRepresentation Sign>
     61 struct StaticDstRangeRelationToSrcRange<Dst, Src, Sign, Sign> {
     62   static const NumericRangeRepresentation value =
     63       MaxExponent<Dst>::value >= MaxExponent<Src>::value
     64           ? NUMERIC_RANGE_CONTAINED
     65           : NUMERIC_RANGE_NOT_CONTAINED;
     66 };
     67 
     68 // Unsigned to signed: Dst is guaranteed to contain source only if its range is
     69 // larger.
     70 template <typename Dst, typename Src>
     71 struct StaticDstRangeRelationToSrcRange<Dst,
     72                                         Src,
     73                                         INTEGER_REPRESENTATION_SIGNED,
     74                                         INTEGER_REPRESENTATION_UNSIGNED> {
     75   static const NumericRangeRepresentation value =
     76       MaxExponent<Dst>::value > MaxExponent<Src>::value
     77           ? NUMERIC_RANGE_CONTAINED
     78           : NUMERIC_RANGE_NOT_CONTAINED;
     79 };
     80 
     81 // Signed to unsigned: Dst cannot be statically determined to contain Src.
     82 template <typename Dst, typename Src>
     83 struct StaticDstRangeRelationToSrcRange<Dst,
     84                                         Src,
     85                                         INTEGER_REPRESENTATION_UNSIGNED,
     86                                         INTEGER_REPRESENTATION_SIGNED> {
     87   static const NumericRangeRepresentation value = NUMERIC_RANGE_NOT_CONTAINED;
     88 };
     89 
     90 enum RangeConstraint {
     91   RANGE_VALID = 0x0,  // Value can be represented by the destination type.
     92   RANGE_UNDERFLOW = 0x1,  // Value would overflow.
     93   RANGE_OVERFLOW = 0x2,  // Value would underflow.
     94   RANGE_INVALID = RANGE_UNDERFLOW | RANGE_OVERFLOW  // Invalid (i.e. NaN).
     95 };
     96 
     97 // Helper function for coercing an int back to a RangeContraint.
     98 inline RangeConstraint GetRangeConstraint(int integer_range_constraint) {
     99   assert(integer_range_constraint >= RANGE_VALID &&
    100          integer_range_constraint <= RANGE_INVALID);
    101   return static_cast<RangeConstraint>(integer_range_constraint);
    102 }
    103 
    104 // This function creates a RangeConstraint from an upper and lower bound
    105 // check by taking advantage of the fact that only NaN can be out of range in
    106 // both directions at once.
    107 inline RangeConstraint GetRangeConstraint(bool is_in_upper_bound,
    108                                    bool is_in_lower_bound) {
    109   return GetRangeConstraint((is_in_upper_bound ? 0 : RANGE_OVERFLOW) |
    110                             (is_in_lower_bound ? 0 : RANGE_UNDERFLOW));
    111 }
    112 
    113 template <
    114     typename Dst,
    115     typename Src,
    116     IntegerRepresentation DstSign = std::numeric_limits<Dst>::is_signed
    117                                             ? INTEGER_REPRESENTATION_SIGNED
    118                                             : INTEGER_REPRESENTATION_UNSIGNED,
    119     IntegerRepresentation SrcSign = std::numeric_limits<Src>::is_signed
    120                                             ? INTEGER_REPRESENTATION_SIGNED
    121                                             : INTEGER_REPRESENTATION_UNSIGNED,
    122     NumericRangeRepresentation DstRange =
    123         StaticDstRangeRelationToSrcRange<Dst, Src>::value >
    124 struct DstRangeRelationToSrcRangeImpl;
    125 
    126 // The following templates are for ranges that must be verified at runtime. We
    127 // split it into checks based on signedness to avoid confusing casts and
    128 // compiler warnings on signed an unsigned comparisons.
    129 
    130 // Dst range is statically determined to contain Src: Nothing to check.
    131 template <typename Dst,
    132           typename Src,
    133           IntegerRepresentation DstSign,
    134           IntegerRepresentation SrcSign>
    135 struct DstRangeRelationToSrcRangeImpl<Dst,
    136                                       Src,
    137                                       DstSign,
    138                                       SrcSign,
    139                                       NUMERIC_RANGE_CONTAINED> {
    140   static RangeConstraint Check(Src value) { return RANGE_VALID; }
    141 };
    142 
    143 // Signed to signed narrowing: Both the upper and lower boundaries may be
    144 // exceeded.
    145 template <typename Dst, typename Src>
    146 struct DstRangeRelationToSrcRangeImpl<Dst,
    147                                       Src,
    148                                       INTEGER_REPRESENTATION_SIGNED,
    149                                       INTEGER_REPRESENTATION_SIGNED,
    150                                       NUMERIC_RANGE_NOT_CONTAINED> {
    151   static RangeConstraint Check(Src value) {
    152     return std::numeric_limits<Dst>::is_iec559
    153                ? GetRangeConstraint(value <= std::numeric_limits<Dst>::max(),
    154                                     value >= -std::numeric_limits<Dst>::max())
    155                : GetRangeConstraint(value <= std::numeric_limits<Dst>::max(),
    156                                     value >= std::numeric_limits<Dst>::min());
    157   }
    158 };
    159 
    160 // Unsigned to unsigned narrowing: Only the upper boundary can be exceeded.
    161 template <typename Dst, typename Src>
    162 struct DstRangeRelationToSrcRangeImpl<Dst,
    163                                       Src,
    164                                       INTEGER_REPRESENTATION_UNSIGNED,
    165                                       INTEGER_REPRESENTATION_UNSIGNED,
    166                                       NUMERIC_RANGE_NOT_CONTAINED> {
    167   static RangeConstraint Check(Src value) {
    168     return GetRangeConstraint(value <= std::numeric_limits<Dst>::max(), true);
    169   }
    170 };
    171 
    172 // Unsigned to signed: The upper boundary may be exceeded.
    173 template <typename Dst, typename Src>
    174 struct DstRangeRelationToSrcRangeImpl<Dst,
    175                                       Src,
    176                                       INTEGER_REPRESENTATION_SIGNED,
    177                                       INTEGER_REPRESENTATION_UNSIGNED,
    178                                       NUMERIC_RANGE_NOT_CONTAINED> {
    179   static RangeConstraint Check(Src value) {
    180     return sizeof(Dst) > sizeof(Src)
    181                ? RANGE_VALID
    182                : GetRangeConstraint(
    183                      value <= static_cast<Src>(std::numeric_limits<Dst>::max()),
    184                      true);
    185   }
    186 };
    187 
    188 // Signed to unsigned: The upper boundary may be exceeded for a narrower Dst,
    189 // and any negative value exceeds the lower boundary.
    190 template <typename Dst, typename Src>
    191 struct DstRangeRelationToSrcRangeImpl<Dst,
    192                                       Src,
    193                                       INTEGER_REPRESENTATION_UNSIGNED,
    194                                       INTEGER_REPRESENTATION_SIGNED,
    195                                       NUMERIC_RANGE_NOT_CONTAINED> {
    196   static RangeConstraint Check(Src value) {
    197     return (MaxExponent<Dst>::value >= MaxExponent<Src>::value)
    198                ? GetRangeConstraint(true, value >= static_cast<Src>(0))
    199                : GetRangeConstraint(
    200                      value <= static_cast<Src>(std::numeric_limits<Dst>::max()),
    201                      value >= static_cast<Src>(0));
    202   }
    203 };
    204 
    205 template <typename Dst, typename Src>
    206 inline RangeConstraint DstRangeRelationToSrcRange(Src value) {
    207   COMPILE_ASSERT(std::numeric_limits<Src>::is_specialized,
    208                  argument_must_be_numeric);
    209   COMPILE_ASSERT(std::numeric_limits<Dst>::is_specialized,
    210                  result_must_be_numeric);
    211   return DstRangeRelationToSrcRangeImpl<Dst, Src>::Check(value);
    212 }
    213 
    214 }  // namespace internal
    215 }  // namespace base
    216 }  // namespace pdfium
    217 
    218 #endif  // PDFIUM_THIRD_PARTY_BASE_SAFE_CONVERSIONS_IMPL_H_
    219