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41 | 41 | #include <functional> |
42 | 42 | #include <initializer_list> |
43 | 43 | #include <iterator> |
| 44 | +#include <limits> |
44 | 45 | #include <list> |
45 | 46 | #include <set> |
46 | 47 | #include <type_traits> |
47 | 48 | #include <unordered_map> |
48 | 49 | #include <utility> |
49 | 50 |
|
| 51 | +#define INTEGER_SHIFT_LIMIT (sizeof(int) * 8 - 1) // The number of bits, where a left shift cannot be guaranteed to be within int range. |
| 52 | + |
50 | 53 | const Token* findExpression(const nonneg int exprid, |
51 | 54 | const Token* start, |
52 | 55 | const Token* end, |
@@ -926,6 +929,137 @@ const Token* getCondTokFromEnd(const Token* endBlock) |
926 | 929 | return getCondTokFromEndImpl(endBlock); |
927 | 930 | } |
928 | 931 |
|
| 932 | +static std::pair<MathLib::bigint, MathLib::bigint> getIntegralMinMaxValues(int bits, ValueType::Sign sign) |
| 933 | +{ |
| 934 | + using bigint = MathLib::bigint; |
| 935 | + using biguint = MathLib::biguint; |
| 936 | + |
| 937 | + if (bits <= 0) |
| 938 | + return { bigint(0), bigint(0) }; |
| 939 | + |
| 940 | + // Unsigned: [0, 2^bits - 1] |
| 941 | + if (sign == ValueType::Sign::UNSIGNED) { |
| 942 | + // If bits exceed what MathLib can safely shift, saturate to max representable |
| 943 | + if (bits >= MathLib::bigint_bits) { |
| 944 | + biguint max_u = std::numeric_limits<biguint>::max(); |
| 945 | + return { bigint(0), bigint(max_u) }; |
| 946 | + } |
| 947 | + biguint max_u = (biguint(1) << bits) - 1; |
| 948 | + return { bigint(0), bigint(max_u) }; |
| 949 | + } |
| 950 | + |
| 951 | + // Signed: [-(2^(bits-1)), 2^(bits-1)-1] |
| 952 | + if (bits >= MathLib::bigint_bits) { |
| 953 | + bigint min_s = std::numeric_limits<bigint>::min(); |
| 954 | + bigint max_s = std::numeric_limits<bigint>::max(); |
| 955 | + return { min_s, max_s }; |
| 956 | + } |
| 957 | + bigint max_s = (bigint(1) << (bits - 1)) - 1; |
| 958 | + bigint min_s = -(bigint(1) << (bits - 1)); |
| 959 | + return { min_s, max_s }; |
| 960 | +} |
| 961 | + |
| 962 | +static bool getIntegralTypeRange(const ValueType* type, const Settings& settings, std::pair<MathLib::bigint, MathLib::bigint>& range) |
| 963 | +{ |
| 964 | + if (!type || !type->isIntegral()) |
| 965 | + return false; |
| 966 | + |
| 967 | + const int bits = type->getSizeOf(settings, ValueType::Accuracy::ExactOrZero, ValueType::SizeOf::Pointer) * 8; |
| 968 | + if (bits <= 0 || bits > 64) |
| 969 | + return false; |
| 970 | + |
| 971 | + range = getIntegralMinMaxValues(bits, type->sign); |
| 972 | + |
| 973 | + return true; |
| 974 | +} |
| 975 | + |
| 976 | +bool getExpressionResultRange(const Token* expr, const Settings& settings, std::pair<MathLib::bigint, MathLib::bigint>& exprRange) |
| 977 | +{ |
| 978 | + if (!expr) |
| 979 | + return false; |
| 980 | + |
| 981 | + // Early return for known values |
| 982 | + if (expr->hasKnownIntValue()) { |
| 983 | + exprRange = { expr->getKnownIntValue(), expr->getKnownIntValue() }; |
| 984 | + return true; |
| 985 | + } |
| 986 | + |
| 987 | + // Early return for non-integral expressions |
| 988 | + if (!expr->valueType() || !expr->valueType()->isIntegral()) |
| 989 | + return false; |
| 990 | + |
| 991 | + //Check binary op - bitwise and |
| 992 | + if (expr->isBinaryOp() && expr->str() == "&") { |
| 993 | + std::pair<MathLib::bigint, MathLib::bigint> leftRange, rightRange; |
| 994 | + if (getExpressionResultRange(expr->astOperand1(), settings, leftRange) && |
| 995 | + getExpressionResultRange(expr->astOperand2(), settings, rightRange)) { |
| 996 | + |
| 997 | + if (leftRange.second >= INT64_MAX || rightRange.second >= INT64_MAX) |
| 998 | + // Abort for values larger than INT64_MAX since bigint do not handle them well |
| 999 | + return false; |
| 1000 | + |
| 1001 | + exprRange.first = leftRange.first & rightRange.first; |
| 1002 | + exprRange.second = leftRange.second & rightRange.second; |
| 1003 | + |
| 1004 | + // Return false if negative values after bitwise & |
| 1005 | + return !(exprRange.first < 0 || exprRange.second < 0); |
| 1006 | + } |
| 1007 | + } |
| 1008 | + |
| 1009 | + // Find original type before casts |
| 1010 | + const Token* exprToCheck = expr; |
| 1011 | + while (exprToCheck->isCast()) { |
| 1012 | + const Token* castFrom = exprToCheck->astOperand2() ? exprToCheck->astOperand2() : exprToCheck->astOperand1(); |
| 1013 | + if (!castFrom || !castFrom->valueType() || !castFrom->valueType()->isIntegral()) |
| 1014 | + break; |
| 1015 | + if (castFrom->valueType()->pointer >= 1) |
| 1016 | + break; |
| 1017 | + if (castFrom->valueType()->type >= exprToCheck->valueType()->type && |
| 1018 | + castFrom->valueType()->sign == ValueType::Sign::SIGNED) |
| 1019 | + break; |
| 1020 | + exprToCheck = castFrom; |
| 1021 | + } |
| 1022 | + |
| 1023 | + return getIntegralTypeRange(exprToCheck->valueType(), settings, exprRange); |
| 1024 | +} |
| 1025 | + |
| 1026 | +template<typename Op> |
| 1027 | +static bool checkAllRangeOperations(const std::pair<MathLib::bigint, MathLib::bigint>& left, |
| 1028 | + const std::pair<MathLib::bigint, MathLib::bigint>& right, |
| 1029 | + const Settings& settings, |
| 1030 | + Op operation) |
| 1031 | +{ |
| 1032 | + return settings.platform.isIntValue(operation(left.first, right.first)) && |
| 1033 | + settings.platform.isIntValue(operation(left.first, right.second)) && |
| 1034 | + settings.platform.isIntValue(operation(left.second, right.first)) && |
| 1035 | + settings.platform.isIntValue(operation(left.second, right.second)); |
| 1036 | +} |
| 1037 | + |
| 1038 | +bool isOperationResultWithinIntRange(const Token* op, const Settings& settings, std::pair<MathLib::bigint, MathLib::bigint>* leftRange, std::pair<MathLib::bigint, MathLib::bigint>* rightRange) |
| 1039 | +{ |
| 1040 | + if (!op || !leftRange || !rightRange) |
| 1041 | + return false; |
| 1042 | + |
| 1043 | + if (op->str() == "<<") { |
| 1044 | + // If the lefthand operand is 31 or higher the resulting shift will be a negative value or greater than int range. |
| 1045 | + if ((rightRange->first >= INTEGER_SHIFT_LIMIT) || rightRange->second >= INTEGER_SHIFT_LIMIT) |
| 1046 | + return false; |
| 1047 | + |
| 1048 | + return checkAllRangeOperations(*leftRange, *rightRange, settings, |
| 1049 | + [](auto a, auto b) { |
| 1050 | + return a << b; |
| 1051 | + }); |
| 1052 | + } |
| 1053 | + |
| 1054 | + if (op->str() == "*") |
| 1055 | + return checkAllRangeOperations(*leftRange, *rightRange, settings, |
| 1056 | + [](auto a, auto b) { |
| 1057 | + return a * b; |
| 1058 | + }); |
| 1059 | + |
| 1060 | + return false; |
| 1061 | +} |
| 1062 | + |
929 | 1063 | Token* getInitTok(Token* tok) { |
930 | 1064 | return getInitTokImpl(tok); |
931 | 1065 | } |
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