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// ArduinoJson - https://arduinojson.org
// Copyright Benoit Blanchon 2014-2021
// MIT License
#pragma once
#include <stddef.h> // for size_t
#include <stdint.h>
#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 <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
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