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Reorganized polyfills
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150
src/ArduinoJson/Numbers/FloatTraits.hpp
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150
src/ArduinoJson/Numbers/FloatTraits.hpp
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// ArduinoJson - arduinojson.org
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// Copyright Benoit Blanchon 2014-2018
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// MIT License
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#pragma once
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#include <stdint.h>
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#include <stdlib.h> // for size_t
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#include "../Configuration.hpp"
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#include "../Polyfills/math.hpp"
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namespace ArduinoJson {
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namespace Internals {
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template <typename T, size_t = sizeof(T)>
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struct FloatTraits {};
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template <typename T>
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struct FloatTraits<T, 8 /*64bits*/> {
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typedef int64_t mantissa_type;
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static const short mantissa_bits = 52;
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static const mantissa_type mantissa_max =
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(static_cast<mantissa_type>(1) << mantissa_bits) - 1;
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typedef int16_t exponent_type;
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static const exponent_type exponent_max = 308;
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template <typename TExponent>
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static T make_float(T m, TExponent e) {
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if (e > 0) {
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for (uint8_t index = 0; e != 0; index++) {
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if (e & 1) m *= positiveBinaryPowerOfTen(index);
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e >>= 1;
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}
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} else {
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e = TExponent(-e);
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for (uint8_t index = 0; e != 0; index++) {
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if (e & 1) m *= negativeBinaryPowerOfTen(index);
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e >>= 1;
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}
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}
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return m;
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}
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static T positiveBinaryPowerOfTen(int index) {
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static T factors[] = {
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1e1, 1e2, 1e4, 1e8, 1e16, 1e32,
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// workaround to support platforms with single precision literals
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forge(0x4D384F03, 0xE93FF9F5), forge(0x5A827748, 0xF9301D32),
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forge(0x75154FDD, 0x7F73BF3C)};
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return factors[index];
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}
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static T negativeBinaryPowerOfTen(int index) {
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static T factors[] = {
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1e-1, 1e-2, 1e-4, 1e-8, 1e-16, 1e-32,
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// workaround to support platforms with single precision literals
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forge(0x32A50FFD, 0x44F4A73D), forge(0x255BBA08, 0xCF8C979D),
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forge(0x0AC80628, 0x64AC6F43)};
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return factors[index];
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}
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static T negativeBinaryPowerOfTenPlusOne(int index) {
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static T factors[] = {
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1e0, 1e-1, 1e-3, 1e-7, 1e-15, 1e-31,
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// workaround to support platforms with single precision literals
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forge(0x32DA53FC, 0x9631D10D), forge(0x25915445, 0x81B7DEC2),
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forge(0x0AFE07B2, 0x7DD78B14)};
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return factors[index];
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}
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static T nan() {
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return forge(0x7ff80000, 0x00000000);
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}
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static T inf() {
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return forge(0x7ff00000, 0x00000000);
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}
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static T forge(uint32_t msb, uint32_t lsb) {
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union {
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uint64_t integerBits;
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T floatBits;
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};
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integerBits = (uint64_t(msb) << 32) | lsb;
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return floatBits;
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}
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};
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template <typename T>
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struct FloatTraits<T, 4 /*32bits*/> {
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typedef int32_t mantissa_type;
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static const short mantissa_bits = 23;
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static const mantissa_type mantissa_max =
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(static_cast<mantissa_type>(1) << mantissa_bits) - 1;
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typedef int8_t exponent_type;
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static const exponent_type exponent_max = 38;
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template <typename TExponent>
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static T make_float(T m, TExponent e) {
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if (e > 0) {
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for (uint8_t index = 0; e != 0; index++) {
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if (e & 1) m *= positiveBinaryPowerOfTen(index);
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e >>= 1;
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}
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} else {
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e = -e;
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for (uint8_t index = 0; e != 0; index++) {
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if (e & 1) m *= negativeBinaryPowerOfTen(index);
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e >>= 1;
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}
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}
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return m;
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}
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static T positiveBinaryPowerOfTen(int index) {
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static T factors[] = {1e1f, 1e2f, 1e4f, 1e8f, 1e16f, 1e32f};
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return factors[index];
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}
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static T negativeBinaryPowerOfTen(int index) {
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static T factors[] = {1e-1f, 1e-2f, 1e-4f, 1e-8f, 1e-16f, 1e-32f};
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return factors[index];
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}
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static T negativeBinaryPowerOfTenPlusOne(int index) {
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static T factors[] = {1e0f, 1e-1f, 1e-3f, 1e-7f, 1e-15f, 1e-31f};
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return factors[index];
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}
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static T forge(uint32_t bits) {
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union {
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uint32_t integerBits;
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T floatBits;
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};
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integerBits = bits;
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return floatBits;
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}
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static T nan() {
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return forge(0x7fc00000);
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}
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static T inf() {
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return forge(0x7f800000);
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}
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};
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} // namespace Internals
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} // namespace ArduinoJson
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