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Diffstat (limited to 'include/lib/ArduinoJson/Numbers/FloatTraits.hpp')
| -rw-r--r-- | include/lib/ArduinoJson/Numbers/FloatTraits.hpp | 201 |
1 files changed, 201 insertions, 0 deletions
diff --git a/include/lib/ArduinoJson/Numbers/FloatTraits.hpp b/include/lib/ArduinoJson/Numbers/FloatTraits.hpp new file mode 100644 index 0000000..60b1dfd --- /dev/null +++ b/include/lib/ArduinoJson/Numbers/FloatTraits.hpp @@ -0,0 +1,201 @@ +// ArduinoJson - https://arduinojson.org +// Copyright Benoit Blanchon 2014-2021 +// MIT License + +#pragma once + +#include <stddef.h> // for size_t +#include <stdint.h> + +#include <ArduinoJson/Configuration.hpp> +#include <ArduinoJson/Polyfills/alias_cast.hpp> +#include <ArduinoJson/Polyfills/math.hpp> +#include <ArduinoJson/Polyfills/preprocessor.hpp> +#include <ArduinoJson/Polyfills/static_array.hpp> + +namespace ARDUINOJSON_NAMESPACE { + +template <typename T, size_t = sizeof(T)> +struct FloatTraits {}; + +template <typename T> +struct FloatTraits<T, 8 /*64bits*/> { + 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 <typename TExponent> + 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<T>((uint64_t(msb) << 32) | lsb); + } +}; + +template <typename T> +struct FloatTraits<T, 4 /*32bits*/> { + 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 <typename TExponent> + 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<T>(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 |