// ArduinoJson - https://arduinojson.org // Copyright Benoit Blanchon 2014-2021 // MIT License #pragma once #include // for size_t #include #include "lib/ArduinoJson/Configuration.hpp" #include "lib/ArduinoJson/Polyfills/alias_cast.hpp" #include "lib/ArduinoJson/Polyfills/math.hpp" #include "lib/ArduinoJson/Polyfills/preprocessor.hpp" #include "lib/ArduinoJson/Polyfills/static_array.hpp" namespace ARDUINOJSON_NAMESPACE { template struct FloatTraits {}; template struct FloatTraits { typedef uint64_t mantissa_type; static const short mantissa_bits = 52; static const mantissa_type mantissa_max = (mantissa_type(1) << mantissa_bits) - 1; typedef int16_t exponent_type; static const exponent_type exponent_max = 308; template static T make_float(T m, TExponent e) { if (e > 0) { for (uint8_t index = 0; e != 0; index++) { if (e & 1) m *= positiveBinaryPowerOfTen(index); e >>= 1; } } else { e = TExponent(-e); for (uint8_t index = 0; e != 0; index++) { if (e & 1) m *= negativeBinaryPowerOfTen(index); e >>= 1; } } return m; } static T positiveBinaryPowerOfTen(int index) { ARDUINOJSON_DEFINE_STATIC_ARRAY( // uint32_t, factors, ARDUINOJSON_EXPAND18({ 0x40240000, 0x00000000, // 1e1 0x40590000, 0x00000000, // 1e2 0x40C38800, 0x00000000, // 1e4 0x4197D784, 0x00000000, // 1e8 0x4341C379, 0x37E08000, // 1e16 0x4693B8B5, 0xB5056E17, // 1e32 0x4D384F03, 0xE93FF9F5, // 1e64 0x5A827748, 0xF9301D32, // 1e128 0x75154FDD, 0x7F73BF3C // 1e256 })); return forge( ARDUINOJSON_READ_STATIC_ARRAY(uint32_t, factors, 2 * index), ARDUINOJSON_READ_STATIC_ARRAY(uint32_t, factors, 2 * index + 1)); } static T negativeBinaryPowerOfTen(int index) { ARDUINOJSON_DEFINE_STATIC_ARRAY( // uint32_t, factors, ARDUINOJSON_EXPAND18({ 0x3FB99999, 0x9999999A, // 1e-1 0x3F847AE1, 0x47AE147B, // 1e-2 0x3F1A36E2, 0xEB1C432D, // 1e-4 0x3E45798E, 0xE2308C3A, // 1e-8 0x3C9CD2B2, 0x97D889BC, // 1e-16 0x3949F623, 0xD5A8A733, // 1e-32 0x32A50FFD, 0x44F4A73D, // 1e-64 0x255BBA08, 0xCF8C979D, // 1e-128 0x0AC80628, 0x64AC6F43 // 1e-256 })); return forge( ARDUINOJSON_READ_STATIC_ARRAY(uint32_t, factors, 2 * index), ARDUINOJSON_READ_STATIC_ARRAY(uint32_t, factors, 2 * index + 1)); } static T negativeBinaryPowerOfTenPlusOne(int index) { ARDUINOJSON_DEFINE_STATIC_ARRAY( // uint32_t, factors, ARDUINOJSON_EXPAND18({ 0x3FF00000, 0x00000000, // 1e0 0x3FB99999, 0x9999999A, // 1e-1 0x3F50624D, 0xD2F1A9FC, // 1e-3 0x3E7AD7F2, 0x9ABCAF48, // 1e-7 0x3CD203AF, 0x9EE75616, // 1e-15 0x398039D6, 0x65896880, // 1e-31 0x32DA53FC, 0x9631D10D, // 1e-63 0x25915445, 0x81B7DEC2, // 1e-127 0x0AFE07B2, 0x7DD78B14 // 1e-255 })); return forge( ARDUINOJSON_READ_STATIC_ARRAY(uint32_t, factors, 2 * index), ARDUINOJSON_READ_STATIC_ARRAY(uint32_t, factors, 2 * index + 1)); } static T nan() { return forge(0x7ff80000, 0x00000000); } static T inf() { return forge(0x7ff00000, 0x00000000); } static T highest() { return forge(0x7FEFFFFF, 0xFFFFFFFF); } static T lowest() { return forge(0xFFEFFFFF, 0xFFFFFFFF); } // constructs a double floating point values from its binary representation // we use this function to workaround platforms with single precision literals // (for example, when -fsingle-precision-constant is passed to GCC) static T forge(uint32_t msb, uint32_t lsb) { return alias_cast((uint64_t(msb) << 32) | lsb); } }; template struct FloatTraits { typedef uint32_t mantissa_type; static const short mantissa_bits = 23; static const mantissa_type mantissa_max = (mantissa_type(1) << mantissa_bits) - 1; typedef int8_t exponent_type; static const exponent_type exponent_max = 38; template static T make_float(T m, TExponent e) { if (e > 0) { for (uint8_t index = 0; e != 0; index++) { if (e & 1) m *= positiveBinaryPowerOfTen(index); e >>= 1; } } else { e = -e; for (uint8_t index = 0; e != 0; index++) { if (e & 1) m *= negativeBinaryPowerOfTen(index); e >>= 1; } } return m; } static T positiveBinaryPowerOfTen(int index) { ARDUINOJSON_DEFINE_STATIC_ARRAY( T, factors, ARDUINOJSON_EXPAND6({1e1f, 1e2f, 1e4f, 1e8f, 1e16f, 1e32f})); return ARDUINOJSON_READ_STATIC_ARRAY(T, factors, index); } static T negativeBinaryPowerOfTen(int index) { ARDUINOJSON_DEFINE_STATIC_ARRAY( T, factors, ARDUINOJSON_EXPAND6({1e-1f, 1e-2f, 1e-4f, 1e-8f, 1e-16f, 1e-32f})); return ARDUINOJSON_READ_STATIC_ARRAY(T, factors, index); } static T negativeBinaryPowerOfTenPlusOne(int index) { ARDUINOJSON_DEFINE_STATIC_ARRAY( T, factors, ARDUINOJSON_EXPAND6({1e0f, 1e-1f, 1e-3f, 1e-7f, 1e-15f, 1e-31f})); return ARDUINOJSON_READ_STATIC_ARRAY(T, factors, index); } static T forge(uint32_t bits) { return alias_cast(bits); } static T nan() { return forge(0x7fc00000); } static T inf() { return forge(0x7f800000); } static T highest() { return forge(0x7f7fffff); } static T lowest() { return forge(0xFf7fffff); } }; } // namespace ARDUINOJSON_NAMESPACE