// Copyright 2018 Ulf Adams // // The contents of this file may be used under the terms of the Apache License, // Version 2.0. // // (See accompanying file LICENSE-Apache or copy at // http://www.apache.org/licenses/LICENSE-2.0) // // Alternatively, the contents of this file may be used under the terms of // the Boost Software License, Version 1.0. // (See accompanying file LICENSE-Boost or copy at // https://www.boost.org/LICENSE_1_0.txt) // // Unless required by applicable law or agreed to in writing, this software // is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY // KIND, either express or implied. #ifndef RYU_COMMON_H #define RYU_COMMON_H #include #include #include #if defined(_M_IX86) || defined(_M_ARM) #define RYU_32_BIT_PLATFORM #endif // Returns the number of decimal digits in v, which must not contain more than 9 digits. static inline uint32_t decimalLength9(const uint32_t v) { // Function precondition: v is not a 10-digit number. // (f2s: 9 digits are sufficient for round-tripping.) // (d2fixed: We print 9-digit blocks.) assert(v < 1000000000); if (v >= 100000000) { return 9; } if (v >= 10000000) { return 8; } if (v >= 1000000) { return 7; } if (v >= 100000) { return 6; } if (v >= 10000) { return 5; } if (v >= 1000) { return 4; } if (v >= 100) { return 3; } if (v >= 10) { return 2; } return 1; } // Returns e == 0 ? 1 : [log_2(5^e)]; requires 0 <= e <= 3528. static inline int32_t log2pow5(const int32_t e) { // This approximation works up to the point that the multiplication overflows at e = 3529. // If the multiplication were done in 64 bits, it would fail at 5^4004 which is just greater // than 2^9297. assert(e >= 0); assert(e <= 3528); return (int32_t) ((((uint32_t) e) * 1217359) >> 19); } // Returns e == 0 ? 1 : ceil(log_2(5^e)); requires 0 <= e <= 3528. static inline int32_t pow5bits(const int32_t e) { // This approximation works up to the point that the multiplication overflows at e = 3529. // If the multiplication were done in 64 bits, it would fail at 5^4004 which is just greater // than 2^9297. assert(e >= 0); assert(e <= 3528); return (int32_t) (((((uint32_t) e) * 1217359) >> 19) + 1); } // Returns e == 0 ? 1 : ceil(log_2(5^e)); requires 0 <= e <= 3528. static inline int32_t ceil_log2pow5(const int32_t e) { return log2pow5(e) + 1; } // Returns floor(log_10(2^e)); requires 0 <= e <= 1650. static inline uint32_t log10Pow2(const int32_t e) { // The first value this approximation fails for is 2^1651 which is just greater than 10^297. assert(e >= 0); assert(e <= 1650); return (((uint32_t) e) * 78913) >> 18; } // Returns floor(log_10(5^e)); requires 0 <= e <= 2620. static inline uint32_t log10Pow5(const int32_t e) { // The first value this approximation fails for is 5^2621 which is just greater than 10^1832. assert(e >= 0); assert(e <= 2620); return (((uint32_t) e) * 732923) >> 20; } static inline int copy_special_str(char * const result, const bool sign, const bool exponent, const bool mantissa) { if (mantissa) { memcpy(result, "NaN", 3); return 3; } if (sign) { result[0] = '-'; } if (exponent) { memcpy(result + sign, "Infinity", 8); return sign + 8; } memcpy(result + sign, "0E0", 3); return sign + 3; } static inline uint32_t float_to_bits(const float f) { uint32_t bits = 0; memcpy(&bits, &f, sizeof(float)); return bits; } static inline uint64_t double_to_bits(const double d) { uint64_t bits = 0; memcpy(&bits, &d, sizeof(double)); return bits; } #endif // RYU_COMMON_H