varch/source/07_math/floatl_cfg.h

973 lines
110 KiB
C

/*********************************************************************************************************
* ------------------------------------------------------------------------------------------------------
* file description
* ------------------------------------------------------------------------------------------------------
* \file floatl_cfg.h
* \unit floatl
* \brief This is a simple large int number calculate module config header file for C language
* \author Lamdonn
* \version v1.0.1
* \license GPL-2.0
* \copyright Copyright (C) 2023 Lamdonn.
********************************************************************************************************/
#ifndef __floatl_cfg_H
#define __floatl_cfg_H
/*
* With this definition, you can configure the footprint size of an floatl.
* This is a flexible definition that can be extended to larger numbers in addition to the given few size definitions
*/
// #define FLOATL_CFG_MANT_PI "1001001000011111101101010100010001000010110100011000010001101001100010011000110011000101000101110000000110111000001110011010001001010010000001001001110000010001000101001100111110011000111010000000010000010111011111010100110001110110001001110011011001000100101000101001010000010000111100110001110001101000000010011011101111011111001010100011001101100111100110100111010010000110001101100110000001010110000101001101101111100100101111100010100001101110100111111100001001101010110110101101101010100011100001001000101111001001000010110110101011101100110001001011110011111101100011011110100010011000100001011101001101001100011011111101101011010110000101111111111010111001011011011110100000001101011011111101101111011100011100001101011111110110101101010001001100111111010010110101110100111110010010000010001011111000100101100011111111001100100100100101000011001100101000111101100111001000101101100111101110000100000000001111100101110001010000101100011101111110000010110011000110110100100100000110110000111000101010111010011100110100110100100010110001111111010100100011111011111100010100000011101111001100110100101110110100010011000110110010001110111100000010001110100111011000000011100011001110001011000001100010111111101001111111101100001101010110000000010101110000101110010111011010111100100101000101001100100001110000111101110000011101100100001110011010101100100000011001010111010001110111100111000010100010001000011101010001101100101110110011001100000100000111111101000110111010011101000010110101010100011100000000011000111001110011001011001011100111110111110010010010000000001110010010101010011110011110110001110001100111111100000010111110100101101010101111111101001010011011001100111110001101110100001101101000100110001011101111101101110101111001101000010011110000001010010000101010110011011110010000100100110100001111100010011011111010100111111101111010010111111010111001110010101101110111110010100010011100101100111010101101100111111001010110001101101100000010101011010111110001011000001100111011101101000100101000010011111101001001111010111110110111000110001101000101100101000000011000100010101001111111010000100001011001101100110011101010100000001111100011011011101110101011110011100100101000101001000110101110000010000011100011110111101001011111100100010010011000111100010000101011111111110000111000100010001111010100110101110010111100100010000001010111011011001011010101111010111000111011100101101111100110001001001110010101101000001010001110001110111000000011011110111110111000101001010110110001001001000111111000011101110101010010010100001111100000100101101100100011000111110100010100111111000001100001010110010111100011110101011101111100000001011001111110110000110110111100110000000001100010001111101001110010010010111010101011011110000110001110110011101101000000100010001001110110001000100101111001000110110010000110000011000100001001110111100011110101111010101011000101111111011001000010010010000011100111111011011110100011111000000100111100101000011011011111110111001110010111110111110110100100111011000011001100110101111111011011111111101011000011011011000011101100111011001011101000111110100100111111001100000100100011110000101110001011000101001011110101101010100010100001001010010101101011101010010011101001101100010111000001001110100101011110011011101101101101010111010011001010000100101100111111001111001010010011110010111101010001000001101011100010101010100001110010001001011101100000010000011100011111001000010001011101000010011111100110101000100100011010010111111011111110110010000101100010001111100010110001101010111001000000111110100010011011011010001010101101001000010010111110011100000000000111111000011001111011111010110110111110111001000000001010011110011110110111001110000100100010110000010101111011100110010100101110101101000011101101010011011101100001110001111001000101010110001110101001110011001100101000000001100110110011011011110011010000011011011010011101101001110000110101101010110011011001001010110011100001100101101110011111001110110100011101011100000110000110011100001100111110111010011110000011111100101000001001110100000100111000101110110110110011101111011010100101001010010010101010000001001010111111001101010001100010101100101111001010111111000010001000011110000001111110000100100010110001100001000000101000011011011001100000001000100101001010110011101001111101101001101101111010010100001101101101011110010001001100000010010100010111110010010110100000001111110111001010110011111011010000001010010010101111100000001100110100100100111111011011101011101111110110010000001101101111011011000011101010000010110111110011000000011001011110110010010100110011100101010010010000110100010000000000101000100101001111101011011011110111001101000110010101000111010010000010110100110000110101100011101001011001101000000001011111011001011010100000011110001110011000011100010101110001000010001001000100011111000001110010011010010110110110010110000011001010010111011111000101001100110100100101110011010110011101100110010100100110110110011101010110011101101010010001010001010011001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// #define FLOATL_CFG_MANT_E "0101101111110000101010001011000101000101011101101001010100110101010111111011100010101100010000000100111001111010011110011110001110110001011100111000101100000111100111000101101001101101001010110101001111000010011011001000001000101000110010000110011111110111100110010010011100111011100111000100100100110110011111011111001011111010010111111100011011000110110001100001100011101011101100011110110100000011011001000000010101011101100010001100001011110101101001111011111000111101101010111010101111111010110010101100001001001000011001111110101000111110101111100000110011011101101000010000101011000110110010101010101001111011110110100011010111100111011010101010111000100110101111001111111010101111100100100110101100110000100111100001100011100001110000011100110100010110111011111100010101001101000100111011010111100111110111111101000011100100001110111110001010110001010000100110110101011011110011100110101001100001010110011001010010011110100100000111010011110010111101010111100000010101011000110000010101100110010010011111011011000011101000100001000101010010100101110110010110001010111001011111010110000100101100101010001001101100101110101000011010110100000110011100001010010010010001111111111011100000011010110110111110110001111010101000111111000100101001100101011111100000111101101000110111011110110100000010010101000001010001111100000011100100011101000001101111101111101001100011101011111101101011111000001010110100000011001101001100000100001011000010110100010010101011011101100101010111111010001001111110011110101010100001000101001001101100001100111010001011010001101111010101001010010000100100101100000000101111101111011010110111110100100001001111101111000000101001000000011000111001000110000100001100111100010000000001000011110010000111100011110011101011000001100100110011100000001001110110001010100010111010001001100101001010001010101111011001011100010111000011001101100101000110011010100001010011110111100110101100000011010000001110110101111100100110101011010001001011011100011110101010000110000110111001110110001100011110001111001100000011000010100111010100101000011111100011010011101000100110100111101001110011111101001011001100110111001011110101101110111011111011010001011110000100100101001101100010001011011011001000111010000011110101110000010111000101111000101111100011000011011100110110101111010001110100111011000100100000100010110111011011100011101101110010010010011100000011111110100101101111110100000101101000110101011010000000001010001101111010010001110010111100000001011000110011100011110000100111101101101000011110100111101110001100001110101110110010111110010101101101111101001101011101101100100010100101000100011111011001110010011101001001110100010000001100100110100110000011001010001111101010111011011000111010010000010011101110000111101010101000001011000000001000011111000011101110110110010011101000001100111100011111000010101110011110001101110111001011010011010010101011101100111011010101011110110100011100111010001001101001100111000001001111100011100001111100011000101010001110011010010101000100001110101010111001001000110100000110100100111111000110001101000000001011100101010001001000110100101011101001111001011110110110000010111111001010010101100101111011010010000100100100111101001100001001000011111111101111000110100001000100110011000111111101010110111111111001101000010101100100111010111001000100110011111011011001001101111111111110001011111101001101001000111110001010101010001000100110000100000101011111110110000010000000101000110001101111001010100010010101111000101001111111000100011100111111011011111101111001111010001001111010000101011011110101110001110011000000100000101111100101000000110101010110011110011000000010001100001000110000111100110010110000001100011010110000101100000001000011101011111100011000101011100111011000011100100000011001110011111100110001001011010001111110011000011110000001100100001010110001101100011101100011101011001011111001111100010101001010110110110111101111001100011110000010011110000110011100001001111111110011111011100100001111101101001110110111011001011101111110001011000101111000011001000100001000011111001001010111100011001000100101011110011000011100110100011100001101111010011101111100000111000110010100010111111001101010111011001111111010011110101010001011001110110111011100010001111110011011001110000001000000001001001110010110010011110111011010001010100001100110101000110010110011001000111000010100011110001001111011111100100011100101001001111010001101110010101100000010101100111000001000111010111010110010001111000000101100110111100110010001111010001001000000100000010101011010001001010001010010010011011100111100101110011100100101111100110101111110111011100101001100110110101111101011001000100010011110000111000111100111101000110010011011001101000001000010011110101011010100001101000001001000110111011011011000000101000110111000111111110111000000000111111011101111100111110000011010010101000100000100001110011010100001001101001111010100000111111111100000010000110111000011101111001001011000100000100100101111111110100110100011100010101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#define FLOATL_CFG_MANT_PI NULL
#define FLOATL_CFG_MANT_E NULL
/*****************************************************************/
/* Config start */
/*****************************************************************/
// #define FLOATL_USE_64BITS
// #define FLOATL_USE_128BITS
// #define FLOATL_USE_256BITS
#define FLOATL_USE_512BITS
// #define FLOATL_USE_1024BITS
// #define FLOATL_USE_2048BITS
// #define FLOATL_USE_4096BITS
// #define FLOATL_USE_8192BITS
#if defined(FLOATL_USE_64BITS)
#define __FLOATL_BIT_PARTS__ 64
#define __FLOATL_U32_PARTS__ 2
#define __FLOATL_U16_PARTS__ 4
#define __FLOATL_EXP_BITS__ 11
#define __FLOATL_MANT_BITS__ 52
#define __FLOATL_MANT_PARTS__ 1
#define __FLOATL_MANT_HIGH_BITS__ 20
#define __FLOATL_EXP_MID_VALUE__ 1023
#define __FLOATL_EXP_WHL_VALUE__ 2047
#define __FLOATL2_BIT_PARTS__ 128
#define __FLOATL2_U32_PARTS__ 4
#define __FLOATL2_U16_PARTS__ 8
#define __FLOATL_MANT_DIG__ 53
#define __FLOATL_MIN_EXP__ -1021
#define __FLOATL_MAX_EXP__ 1024
#define __FLOATL_DIG__ 15
#define __FLOATL_DECIMAL_DIG__ 17
#define __FLOATL_MIN_10_EXP__ -307
#define __FLOATL_MAX_10_EXP__ 308
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0x3FF00000,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0x3FF00000,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0x40240000,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0x40590000,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0x408F4000,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0x40C38800,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0x40F86A00,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0x412E8480,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0x416312D0,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0x4197D784,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0x41CDCD65,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0x20000000,0x4202A05F,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0xE8000000,0x42374876,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0xA2000000,0x426D1A94,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0xE5400000,0x42A2309C,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0x1E900000,0x42D6BCC4,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0x26340000,0x430C6BF5,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0x54442D18,0x400921FB,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0x8B145769,0x4005BF0A,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0x7FF00000,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0xFFF00000,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0x7FF00000,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,0x000FFFFF,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0x00100000,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0x00800000,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,0x001FFFFF,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0x00100000,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,0x7FEFFFFF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,}}
#elif defined(FLOATL_USE_128BITS)
#define __FLOATL_BIT_PARTS__ 128
#define __FLOATL_U32_PARTS__ 4
#define __FLOATL_U16_PARTS__ 8
#define __FLOATL_EXP_BITS__ 13
#define __FLOATL_MANT_BITS__ 114
#define __FLOATL_MANT_PARTS__ 3
#define __FLOATL_MANT_HIGH_BITS__ 18
#define __FLOATL_EXP_MID_VALUE__ 4095
#define __FLOATL_EXP_WHL_VALUE__ 8191
#define __FLOATL2_BIT_PARTS__ 256
#define __FLOATL2_U32_PARTS__ 8
#define __FLOATL2_U16_PARTS__ 16
#define __FLOATL_MANT_DIG__ 115
#define __FLOATL_MIN_EXP__ -4093
#define __FLOATL_MAX_EXP__ 4096
#define __FLOATL_DIG__ 34
#define __FLOATL_DECIMAL_DIG__ 36
#define __FLOATL_MIN_10_EXP__ -1232
#define __FLOATL_MAX_10_EXP__ 1233
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0,0,0x3FFC0000,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0,0,0x3FFC0000,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0,0,0x40090000,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0,0,0x40164000,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0,0,0x4023D000,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0,0,0x4030E200,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0,0,0x403E1A80,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0,0,0x404BA120,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0,0,0x4058C4B4,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0,0,0x4065F5E1,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0,0x40000000,0x40737359,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0,0,0xC8000000,0x4080A817,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0,0,0xBA000000,0x408DD21D,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0,0,0x28800000,0x409B46A5,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0,0,0x39500000,0x40A88C27,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0,0,0x07A40000,0x40B5AF31,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0,0,0x498D0000,0x40C31AFD,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0x145C06E0,0x11A62633,0xD5110B46,0x4002487E,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0xB10139E9,0x54D57EE2,0xA2C515DA,0x40016FC2,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0,0,0x7FFC0000,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0,0,0xFFFC0000,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0,0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0,0,0x7FFC0000,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,-1,-1,0x0003FFFF,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,-1,-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0,0,0x00040000,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0,0,0x00200000,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,-1,-1,0x0007FFFF,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0,0,0x00040000,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,-1,-1,0x7FFBFFFF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,0,0,}}
#elif defined(FLOATL_USE_256BITS)
#define __FLOATL_BIT_PARTS__ 256
#define __FLOATL_U32_PARTS__ 8
#define __FLOATL_U16_PARTS__ 16
#define __FLOATL_EXP_BITS__ 15
#define __FLOATL_MANT_BITS__ 240
#define __FLOATL_MANT_PARTS__ 7
#define __FLOATL_MANT_HIGH_BITS__ 16
#define __FLOATL_EXP_MID_VALUE__ 16383
#define __FLOATL_EXP_WHL_VALUE__ 32767
#define __FLOATL2_BIT_PARTS__ 512
#define __FLOATL2_U32_PARTS__ 16
#define __FLOATL2_U16_PARTS__ 32
#define __FLOATL_MANT_DIG__ 241
#define __FLOATL_MIN_EXP__ -16381
#define __FLOATL_MAX_EXP__ 16384
#define __FLOATL_DIG__ 72
#define __FLOATL_DECIMAL_DIG__ 74
#define __FLOATL_MIN_10_EXP__ -4931
#define __FLOATL_MAX_10_EXP__ 4932
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,0,0,0,0,0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0,0,0,0,0,0,0x3FFF0000,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0,0,0,0,0,0,0x3FFF0000,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0,0,0,0,0,0,0x40024000,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0,0,0,0,0,0,0x40059000,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0,0,0,0,0,0,0x4008F400,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0,0,0,0,0,0,0x400C3880,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0,0,0,0,0,0,0x400F86A0,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0,0,0,0,0,0,0x4012E848,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0,0,0,0,0,0,0x4016312D,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0,0,0,0,0,0x40000000,0x40197D78,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0,0,0,0,0,0x50000000,0x401CDCD6,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0,0,0,0,0,0,0xF2000000,0x40202A05,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0,0,0,0,0,0,0x6E800000,0x40237487,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0,0,0,0,0,0,0x4A200000,0x4026D1A9,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0,0,0,0,0,0,0xCE540000,0x402A2309,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0,0,0,0,0,0,0x41E90000,0x402D6BCC,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0,0,0,0,0,0,0x52634000,0x4030C6BF,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0x7D4C7627,0x98E80417,0x9C1114CF,0x39A25204,0xC51701B8,0x8469898C,0xB54442D1,0x4000921F,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0x6C8228C8,0x6D2B53C2,0x8B079C5A,0x79E3B173,0xAC404E7A,0x95355FB8,0xA8B14576,0x40005BF0,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,0,0,0,0,0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0,0,0,0,0,0,0x7FFF0000,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0,0,0,0,0,0,0xFFFF0000,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0,0,0,0,0,0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0,0,0,0,0,0,0x7FFF0000,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,0x0000FFFF,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0,0,0,0,0,0,0x00010000,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0,0,0,0,0,0,0x00080000,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,0x0001FFFF,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0,0,0,0,0,0,0x00010000,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,0x7FFEFFFF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,0,0,0,0,0,0,}}
#elif defined(FLOATL_USE_512BITS)
#define __FLOATL_BIT_PARTS__ 512
#define __FLOATL_U32_PARTS__ 16
#define __FLOATL_U16_PARTS__ 32
#define __FLOATL_EXP_BITS__ 17
#define __FLOATL_MANT_BITS__ 494
#define __FLOATL_MANT_PARTS__ 15
#define __FLOATL_MANT_HIGH_BITS__ 14
#define __FLOATL_EXP_MID_VALUE__ 65535
#define __FLOATL_EXP_WHL_VALUE__ 131071
#define __FLOATL2_BIT_PARTS__ 1024
#define __FLOATL2_U32_PARTS__ 32
#define __FLOATL2_U16_PARTS__ 64
#define __FLOATL_MANT_DIG__ 495
#define __FLOATL_MIN_EXP__ -65533
#define __FLOATL_MAX_EXP__ 65536
#define __FLOATL_DIG__ 149
#define __FLOATL_DECIMAL_DIG__ 151
#define __FLOATL_MIN_10_EXP__ -19727
#define __FLOATL_MAX_10_EXP__ 19728
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFC000,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFC000,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40009000,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40016400,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40023D00,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40030E20,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x4003E1A8,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x4004BA12,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40000000,0x40058C4B,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x10000000,0x40065F5E,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x94000000,0x40073735,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7C800000,0x40080A81,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xDBA00000,0x4008DD21,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x52880000,0x4009B46A,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x73950000,0x400A88C2,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x107A4000,0x400B5AF3,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xD498D000,0x400C31AF,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0x9AB6B6A8,0x8A1BA7F0,0x8536F92F,0x218D9815,0x8CD9E69D,0x026EF7CA,0x043CC71A,0xCD9128A5,0xDF531D89,0xE63A0105,0x27044533,0x0E689481,0x3145C06E,0x611A6263,0xED5110B4,0x40002487,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0x8F6AEAFE,0x30BD69EF,0xD9015762,0x3AEC7B40,0xF1B1B186,0x9F7CBE97,0xCEE7124D,0x19FDE649,0x9B208A32,0x9B4AD4F0,0xE2C1E716,0x9E78EC5C,0x2B10139E,0xA54D57EE,0x2A2C515D,0x400016FC,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFC000,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xFFFFC000,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFC000,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x00003FFF,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00004000,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00020000,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x00007FFF,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00004000,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFBFFF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#elif defined(FLOATL_USE_1024BITS)
#define __FLOATL_BIT_PARTS__ 1024
#define __FLOATL_U32_PARTS__ 32
#define __FLOATL_U16_PARTS__ 64
#define __FLOATL_EXP_BITS__ 19
#define __FLOATL_MANT_BITS__ 1004
#define __FLOATL_MANT_PARTS__ 31
#define __FLOATL_MANT_HIGH_BITS__ 12
#define __FLOATL_EXP_MID_VALUE__ 262143
#define __FLOATL_EXP_WHL_VALUE__ 524287
#define __FLOATL2_BIT_PARTS__ 2048
#define __FLOATL2_U32_PARTS__ 64
#define __FLOATL2_U16_PARTS__ 128
#define __FLOATL_MANT_DIG__ 1005
#define __FLOATL_MIN_EXP__ -262141
#define __FLOATL_MAX_EXP__ 262144
#define __FLOATL_DIG__ 302
#define __FLOATL_DECIMAL_DIG__ 304
#define __FLOATL_MIN_10_EXP__ -78912
#define __FLOATL_MAX_10_EXP__ 78913
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFF000,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFF000,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40002400,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40005900,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40008F40,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x4000C388,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x4000F86A,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,0x40012E84,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xD0000000,0x40016312,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x84000000,0x400197D7,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x65000000,0x4001CDCD,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x5F200000,0x400202A0,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x76E80000,0x40023748,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x94A20000,0x40026D1A,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x9CE54000,0x4002A230,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xC41E9000,0x4002D6BC,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xF5263400,0x40030C6B,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0x4906C38A,0x77E0B31B,0x0F97142C,0x8B67B840,0x0CCA3D9C,0x63FCC925,0xE4822F89,0x33F4B5D3,0x0D7F6B51,0xD6FDBDC7,0xEB96DE80,0xFDAD617F,0x885D34C6,0xCFD8DE89,0xB6AECC4B,0x3848BC90,0x26ADADAA,0xE286E9FC,0x614DBE4B,0x48636605,0xA33679A7,0x809BBDF2,0x410F31C6,0x73644A29,0x77D4C762,0xF98E8041,0x49C1114C,0x839A2520,0xCC51701B,0x18469898,0xFB54442D,0x40000921,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0x56305664,0x4F2F5781,0x9949E907,0xBCE6A615,0x2B1426D5,0xFD0E43BE,0xD13B5E7D,0xD16EFC54,0xE18E1C1C,0xF926B309,0xE26BCFEA,0xA35E76AA,0x6CAAA7BD,0xCDDA10AC,0x7EA3EBE0,0xACAC2486,0xE3DABABF,0x8C2F5A7B,0x364055D8,0x8EBB1ED0,0xFC6C6C61,0x67DF2FA5,0x73B9C493,0x867F7992,0x26C8228C,0xA6D2B53C,0x38B079C5,0xA79E3B17,0x8AC404E7,0x695355FB,0x0A8B1457,0x400005BF,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFF000,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xFFFFF000,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFF000,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x00000FFF,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00001000,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00008000,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x00001FFF,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00001000,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFEFFF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#elif defined(FLOATL_USE_2048BITS)
#define __FLOATL_BIT_PARTS__ 2048
#define __FLOATL_U32_PARTS__ 64
#define __FLOATL_U16_PARTS__ 128
#define __FLOATL_EXP_BITS__ 21
#define __FLOATL_MANT_BITS__ 2026
#define __FLOATL_MANT_PARTS__ 63
#define __FLOATL_MANT_HIGH_BITS__ 10
#define __FLOATL_EXP_MID_VALUE__ 1048575
#define __FLOATL_EXP_WHL_VALUE__ 2097151
#define __FLOATL2_BIT_PARTS__ 4096
#define __FLOATL2_U32_PARTS__ 128
#define __FLOATL2_U16_PARTS__ 256
#define __FLOATL_MANT_DIG__ 2027
#define __FLOATL_MIN_EXP__ -1048573
#define __FLOATL_MAX_EXP__ 1048576
#define __FLOATL_DIG__ 610
#define __FLOATL_DECIMAL_DIG__ 612
#define __FLOATL_MIN_10_EXP__ -315652
#define __FLOATL_MAX_10_EXP__ 315653
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFFC00,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFFC00,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40000900,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40001640,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x400023D0,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x400030E2,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,0x40003E1A,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x20000000,0x40004BA1,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xB4000000,0x400058C4,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xE1000000,0x400065F5,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x59400000,0x40007373,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x17C80000,0x400080A8,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x1DBA0000,0x40008DD2,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xA5288000,0x40009B46,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x27395000,0x4000A88C,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3107A400,0x4000B5AF,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xFD498D00,0x4000C31A,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0xED1284FD,0xB5F160CE,0xE5636C0A,0x9CB3AB67,0x9CADDF28,0x9FDE97EB,0x343E26FA,0x0AB37909,0xE684F029,0x262EFB75,0xCF8DD0DA,0xAAFF4A6C,0x67F02FA5,0x2A9E7B1C,0xDF248039,0x39CCB2E7,0x2D547006,0x1FD1BA74,0x6CBB3304,0x70A221D4,0x8195D1DE,0x1D90E6AC,0x5321C3DC,0xB976BC94,0x0D580570,0x18BFA7FB,0x6038CE2C,0x8EF023A7,0x4BB44C6C,0xF140EF33,0xB1FD48FB,0xAE9CD348,0xD241B0E2,0x1DF82CC6,0x03E5C50B,0x22D9EE10,0x43328F67,0x58FF3249,0xF9208BE2,0x4CFD2D74,0xC35FDAD4,0x35BF6F71,0xFAE5B7A0,0xBF6B585F,0x62174D31,0xF3F637A2,0x2DABB312,0x8E122F24,0x09AB6B6A,0xF8A1BA7F,0x58536F92,0xD218D981,0xA8CD9E69,0xA026EF7C,0x5043CC71,0x9CD9128A,0x5DF531D8,0x3E63A010,0x12704453,0xE0E68948,0x33145C06,0x4611A626,0x7ED5110B,0x40000248,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0xB9D8C78F,0xB71EA861,0xD7C9AB44,0xE6B0340E,0x519A853D,0x65C5C336,0x8994A2AF,0x02762A2E,0xCEB064CE,0x010F21E3,0x918433C4,0xBC0A4063,0xDADF484F,0x092C02FB,0x2D1BD529,0x4526C33A,0xA27E7AA8,0x4AB7655F,0x4C10B0B4,0xBE0AD033,0xBE98EBF6,0x0391D06F,0x4095051F,0x83DA377B,0x3F12995F,0xADBEC7AA,0x491FFB81,0x1AD0670A,0xCA89B2EA,0x2B97D612,0x454A5D96,0x27DB0E88,0x558C1599,0xD3CBD5E0,0x66527A41,0x6F39A985,0x8AC509B5,0x7F4390EF,0x344ED79F,0x345BBF15,0x78638707,0xBE49ACC2,0xB89AF3FA,0x68D79DAA,0x1B2AA9EF,0x3376842B,0x9FA8FAF8,0xEB2B0921,0xF8F6AEAF,0x230BD69E,0x0D901576,0x63AEC7B4,0x7F1B1B18,0xD9F7CBE9,0x9CEE7124,0x219FDE64,0x09B208A3,0x69B4AD4F,0xCE2C1E71,0xE9E78EC5,0xE2B10139,0xDA54D57E,0xC2A2C515,0x4000016F,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFFC00,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xFFFFFC00,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFFC00,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x000003FF,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000400,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00002000,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x000007FF,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000400,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFBFF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#elif defined(FLOATL_USE_4096BITS)
#define __FLOATL_BIT_PARTS__ 4096
#define __FLOATL_U32_PARTS__ 128
#define __FLOATL_U16_PARTS__ 256
#define __FLOATL_EXP_BITS__ 23
#define __FLOATL_MANT_BITS__ 4072
#define __FLOATL_MANT_PARTS__ 127
#define __FLOATL_MANT_HIGH_BITS__ 8
#define __FLOATL_EXP_MID_VALUE__ 4194303
#define __FLOATL_EXP_WHL_VALUE__ 8388607
#define __FLOATL2_BIT_PARTS__ 8192
#define __FLOATL2_U32_PARTS__ 256
#define __FLOATL2_U16_PARTS__ 512
#define __FLOATL_MANT_DIG__ 4073
#define __FLOATL_MIN_EXP__ -4194301
#define __FLOATL_MAX_EXP__ 4194304
#define __FLOATL_DIG__ 1226
#define __FLOATL_DECIMAL_DIG__ 1228
#define __FLOATL_MIN_10_EXP__ -1262610
#define __FLOATL_MAX_10_EXP__ 1262611
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFFF00,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFFF00,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40000240,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40000590,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x400008F4,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,0x40000C38,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xA0000000,0x40000F86,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x48000000,0x400012E8,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x2D000000,0x40001631,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x78400000,0x4000197D,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xD6500000,0x40001CDC,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x05F20000,0x4000202A,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x876E8000,0x40002374,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xA94A2000,0x400026D1,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x09CE5400,0x40002A23,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xCC41E900,0x40002D6B,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xBF526340,0x400030C6,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0x09D04E2E,0xEE9E0FCA,0x70619C33,0x6E7CED1D,0x364ACE19,0x769C35AB,0xDBCD06DA,0x3328066C,0xE4558EA7,0xED4DD871,0xB994BAD0,0x3848B057,0x4029E7B7,0x9EFADBEE,0xF9C007E1,0xDA2AD212,0xAE40FA26,0x1623E2C6,0x1A5FBFB2,0xD09F9A89,0x41C7C845,0xA1C89760,0xD441AE2A,0xFCF293CB,0x574CA12C,0xE95E6EDB,0x4E9B1704,0xA1295AEA,0xB14BD6A8,0x3048F0B8,0xCBA3E93F,0xB0DB0ECE,0x335FDBFE,0xF7DA4EC3,0x86DFDCE5,0x7A3E04F2,0x424839FB,0x5EAB17F6,0x0C42778F,0x25E46C86,0xD0222762,0xADE18ECE,0x8FA724BA,0x0DBCC018,0x77C059FB,0x615978F5,0x31F453F0,0x50F825B2,0x47E1DD52,0xEE295B12,0x38EE037B,0x89395A0A,0xAE3B96F9,0x0576CB57,0xD4D72F22,0xBFF0E223,0x91263C42,0x838F7A5F,0x4A291AE0,0x8DBBABCE,0x6CCEA80F,0x2A7F4216,0x34594062,0x49EBEDC6,0xBB44A13F,0xAD7C5833,0xF958DB02,0x272CEAD9,0xE72B77CA,0xA7F7A5FA,0x4D0F89BE,0x42ACDE42,0x79A13C0A,0x898BBEDD,0x33E37436,0x6ABFD29B,0x19FC0BE9,0x4AA79EC7,0xF7C9200E,0x8E732CB9,0x0B551C01,0x07F46E9D,0x1B2ECCC1,0x9C288875,0x20657477,0x076439AB,0x14C870F7,0x2E5DAF25,0xC356015C,0x062FE9FE,0xD80E338B,0x23BC08E9,0xD2ED131B,0xFC503BCC,0x2C7F523E,0xABA734D2,0xB4906C38,0xC77E0B31,0x00F97142,0xC8B67B84,0x50CCA3D9,0x963FCC92,0x3E4822F8,0x133F4B5D,0x70D7F6B5,0x0D6FDBDC,0xFEB96DE8,0x6FDAD617,0x9885D34C,0xBCFD8DE8,0x0B6AECC4,0xA3848BC9,0xC26ADADA,0xBE286E9F,0x5614DBE4,0x74863660,0x2A33679A,0x6809BBDF,0x9410F31C,0x273644A2,0x177D4C76,0xCF98E804,0x049C1114,0xB839A252,0x8CC51701,0xD1846989,0x1FB54442,0x40000092,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0x4421F257,0xDF8B1786,0x3ED3B765,0x09FF3EE4,0xC7827867,0x54ADB7BC,0x63ACBE7C,0x190AC6C7,0x2D1F9878,0x20673F31,0xC62B9D87,0xC2C043AF,0x3CCB031A,0xE602308C,0xBE503559,0xF5C73020,0x9E89E856,0x11CFDBF7,0xA2578A7F,0x2028C6F2,0x98415FD8,0x48F8AA88,0xDFFE2FD3,0xE44CFB64,0xF9A1593A,0x4CC7F56F,0x0FFBC684,0x8493D309,0xF29597B4,0xA797B60B,0xE5448D2B,0x4FC63402,0xAB92341A,0x8E69510E,0xF8E1F18A,0xE89A6704,0x3B55ED1C,0x72D34ABB,0x7C2B9E37,0xB64E833C,0xB0087C3B,0x4EE1EAA0,0xEAED8E90,0xC9A60CA3,0xC9D27440,0x229447D9,0x5B7D35DB,0x30EBB2F9,0xEDA1E9EE,0x16338F09,0x37A472F0,0x68D5A00A,0x3FA5BF41,0x8EDC9270,0xC4822DDB,0xCDAF474E,0x178BE30D,0x3A0F5C17,0x53622DB2,0xEFB45E12,0xCCDCBD6E,0x69E9CFD2,0xA1F8D3A2,0xCC0C29D4,0x6E7631E3,0x2DC7AA18,0xB5F26AD1,0x79AC0D03,0x9466A14F,0xD97170CD,0xA26528AB,0x809D8A8B,0xF3AC1933,0x0043C878,0xE4610CF1,0xEF029018,0xF6B7D213,0x424B00BE,0x8B46F54A,0x1149B0CE,0xE89F9EAA,0x12ADD957,0xD3042C2D,0xAF82B40C,0xEFA63AFD,0xC0E4741B,0xD0254147,0xE0F68DDE,0x8FC4A657,0x6B6FB1EA,0x9247FEE0,0x86B419C2,0xB2A26CBA,0x8AE5F584,0x11529765,0x49F6C3A2,0x15630566,0x74F2F578,0x59949E90,0x5BCE6A61,0xE2B1426D,0xDFD0E43B,0x4D13B5E7,0xCD16EFC5,0x9E18E1C1,0xAF926B30,0xAE26BCFE,0xDA35E76A,0xC6CAAA7B,0x0CDDA10A,0x67EA3EBE,0xFACAC248,0xBE3DABAB,0x88C2F5A7,0x0364055D,0x18EBB1ED,0x5FC6C6C6,0x367DF2FA,0x273B9C49,0xC867F799,0xC26C8228,0x5A6D2B53,0x738B079C,0x7A79E3B1,0xB8AC404E,0x7695355F,0xF0A8B145,0x4000005B,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFFF00,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xFFFFFF00,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFFF00,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x000000FF,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000100,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000800,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x000001FF,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000100,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFEFF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#elif defined(FLOATL_USE_8192BITS)
#define __FLOATL_BIT_PARTS__ 8192
#define __FLOATL_U32_PARTS__ 256
#define __FLOATL_U16_PARTS__ 512
#define __FLOATL_EXP_BITS__ 25
#define __FLOATL_MANT_BITS__ 8166
#define __FLOATL_MANT_PARTS__ 255
#define __FLOATL_MANT_HIGH_BITS__ 6
#define __FLOATL_EXP_MID_VALUE__ 16777215
#define __FLOATL_EXP_WHL_VALUE__ 33554431
#define __FLOATL2_BIT_PARTS__ 16384
#define __FLOATL2_U32_PARTS__ 512
#define __FLOATL2_U16_PARTS__ 1024
#define __FLOATL_MANT_DIG__ 8167
#define __FLOATL_MIN_EXP__ -16777213
#define __FLOATL_MAX_EXP__ 16777216
#define __FLOATL_DIG__ 2458
#define __FLOATL_DECIMAL_DIG__ 2460
#define __FLOATL_MIN_10_EXP__ -5050444
#define __FLOATL_MAX_10_EXP__ 5050445
#define __FLOATL_CONST_0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_CONST_1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFFFC0,}}
#define __FLOATL_CONST_1e0__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x3FFFFFC0,}}
#define __FLOATL_CONST_1e1__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40000090,}}
#define __FLOATL_CONST_1e2__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x40000164,}}
#define __FLOATL_CONST_1e3__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x4000023D,}}
#define __FLOATL_CONST_1e4__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x20000000,0x4000030E,}}
#define __FLOATL_CONST_1e5__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xA8000000,0x400003E1,}}
#define __FLOATL_CONST_1e6__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x12000000,0x400004BA,}}
#define __FLOATL_CONST_1e7__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x4B400000,0x4000058C,}}
#define __FLOATL_CONST_1e8__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x5E100000,0x4000065F,}}
#define __FLOATL_CONST_1e9__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x35940000,0x40000737,}}
#define __FLOATL_CONST_1e10__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x817C8000,0x4000080A,}}
#define __FLOATL_CONST_1e11__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x21DBA000,0x400008DD,}}
#define __FLOATL_CONST_1e12__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x6A528800,0x400009B4,}}
#define __FLOATL_CONST_1e13__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xC2739500,0x40000A88,}}
#define __FLOATL_CONST_1e14__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xF3107A40,0x40000B5A,}}
#define __FLOATL_CONST_1e15__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xAFD498D0,0x40000C31,}}
#define __FLOATL_CONST_PI__ (floatl){.u32={0x9C2CD1AE,0x1A49273E,0x758B6F50,0x4C26F654,0x98DADC16,0xABE190C4,0xC2EC1722,0x7DD13E77,0xFC60F894,0x55666571,0x26141C6B,0xF95FA909,0x53E461E4,0x9AC95E9D,0x5A7EE3FE,0x651AD83B,0xC41183F0,0x5B0FD780,0xFF8A994D,0x514F427D,0xB7AFAA44,0x7C9266A7,0x43AC302B,0x636D4A44,0xFA0BB1A9,0xF18E43E7,0xA36089A9,0x03ABA8A3,0x43CB9D65,0x90FF026D,0x2588F418,0x1195C5FE,0xCABF5CB5,0x3ED55BC5,0xFDFF892D,0xE6295487,0x6082D811,0x104F0765,0x4FED8ADE,0x67CDB82C,0x1D26FE93,0xEB33FB4E,0xF0312AB8,0x07E2C738,0xDA79A468,0x2085F25E,0xEB51BBE8,0x9BCC1EB0,0x8088C503,0x5DC1B7C7,0x719B8516,0x6E7BE084,0x8632770B,0x8E15E3D6,0x1E8D8CAD,0x64F6877C,0xB8A4F4CA,0xC99E74F0,0xF4869A45,0x4F4BBCDE,0x1E5B9CA1,0xCAA162CE,0x9AB8A43B,0xD278BEF3,0x8A01DCFE,0x63531A24,0xC64F665D,0x452F0D95,0x6CEECF10,0xF599FFFC,0xEBB4D8D3,0xE097575F,0x1E738FD2,0xA9D1F739,0xA2FF206F,0x9A2AE76B,0x73CEDF78,0x3C2CE3F6,0xD68CD701,0xB92F784F,0x5F576E87,0xB8907D8D,0xCB78FF8C,0x67A0054E,0x13B54016,0xF474ACD4,0x76A9A352,0xB5C16CBF,0xC9F1FF48,0xEAB0959E,0x28A6F348,0x2DEC8E5B,0xE6327731,0x36258CEE,0x0CA171DB,0x9AFE82FB,0xDA56A34E,0x3A7183CF,0xFB67B16B,0x76A4514C,0x949B6756,0x497359D9,0x2977C533,0x9A5B6583,0x22447C1C,0x398715C4,0x5F65A81E,0x58E96680,0x1D20B4C3,0xDBDCD195,0x002894FA,0xCE5490D1,0xC065EC94,0xB0EA0B7C,0xBF640DBD,0x3493F6EB,0x0292BE03,0x3F72B3ED,0x945F25A0,0xDB5E44C0,0xF69B7A50,0x0894ACE9,0x10286D98,0x07E122C6,0xCAFC221E,0xF3518ACB,0x292A812B,0xB6CEF6A5,0x8274138B,0xFBA783F2,0x5C18670C,0x5B9F3B47,0xCD92B386,0x9DA70D6A,0x36F341B6,0xCCCA019B,0x791563A9,0x3B53761C,0xEE652EB4,0xCE122C15,0x900A79ED,0x67BEB6FB,0xBE7001F8,0xB68AB484,0xAB903E89,0x8588F8B1,0x4697EFEC,0x7427E6A2,0x1071F211,0xA87225D8,0xF5106B8A,0x3F3CA4F2,0xD5D3284B,0x3A579BB6,0x93A6C5C1,0x284A56BA,0x2C52F5AA,0xCC123C2E,0xB2E8FA4F,0xAC36C3B3,0xCCD7F6FF,0x7DF693B0,0xA1B7F739,0xDE8F813C,0x90920E7E,0xD7AAC5FD,0x83109DE3,0x89791B21,0xB40889D8,0xAB7863B3,0x23E9C92E,0xC36F3006,0x5DF0167E,0x18565E3D,0x8C7D14FC,0x943E096C,0x91F87754,0xFB8A56C4,0x8E3B80DE,0x624E5682,0xEB8EE5BE,0x815DB2D5,0xF535CBC8,0xAFFC3888,0xE4498F10,0x20E3DE97,0x928A46B8,0xE36EEAF3,0x9B33AA03,0x8A9FD085,0x8D165018,0xD27AFB71,0xEED1284F,0xAB5F160C,0x7E5636C0,0x89CB3AB6,0xB9CADDF2,0xA9FDE97E,0x9343E26F,0x90AB3790,0x5E684F02,0xA262EFB7,0xCCF8DD0D,0x5AAFF4A6,0xC67F02FA,0x92A9E7B1,0x7DF24803,0x639CCB2E,0x42D54700,0x41FD1BA7,0x46CBB330,0xE70A221D,0xC8195D1D,0xC1D90E6A,0x45321C3D,0x0B976BC9,0xB0D58057,0xC18BFA7F,0x76038CE2,0xC8EF023A,0x34BB44C6,0xBF140EF3,0x8B1FD48F,0x2AE9CD34,0x6D241B0E,0xB1DF82CC,0x003E5C50,0x722D9EE1,0x943328F6,0x258FF324,0x4F9208BE,0x44CFD2D7,0x1C35FDAD,0x035BF6F7,0xFFAE5B7A,0x1BF6B585,0x262174D3,0x2F3F637A,0x42DABB31,0xA8E122F2,0xF09AB6B6,0x2F8A1BA7,0x158536F9,0x9D218D98,0xCA8CD9E6,0x1A026EF7,0xA5043CC7,0x89CD9128,0x05DF531D,0x33E63A01,0x81270445,0x6E0E6894,0x633145C0,0xB4611A62,0x87ED5110,0x40000024,}}
#define __FLOATL_CONST_E__ (floatl){.u32={0xFAAD8AAF,0x3FD5E768,0xB47C0A93,0xDE5F5989,0x24202B66,0x0DC1F079,0xCF6A53B2,0xC885E304,0x6AE4DD21,0x3B674EA8,0xCD003B9F,0x8C731AB7,0xB0145B3A,0x7F6B920D,0xD535712A,0x62EC6A3C,0x3BDE3CC9,0x4DD598A1,0x7AD6489E,0xC0A1938D,0x2146B676,0x39730E75,0x427A6EE3,0x0B719F87,0x2FACBDD2,0xB2377726,0x19E38039,0x19128D46,0x34DF3988,0x9B12EC4C,0xFBB08AA3,0x54E5CC9F,0x7D0B9232,0xE0015554,0x8EC67DE1,0xF83501D1,0x565EFA2C,0xA081F19F,0x2A9278B4,0xDAB2E692,0x0ABCF371,0xA1235AED,0x17BAA797,0x610BEE8A,0x8913240B,0x6A2A7D65,0x1810BF4D,0x13755DAF,0x2A4F9351,0xCC677CA9,0x80E85B5C,0xE499660B,0x795BD1EA,0xF149A409,0x2A619C16,0xA756A1A4,0x45475F42,0x42CB6721,0xE64E4D44,0xC36FCFF2,0xE8AD137C,0x119DB35F,0xFE0FB0B6,0x1D2D6310,0xF8CA8257,0xFBF3D4E4,0x16F713E8,0x52E6FF37,0xC2EED18B,0x3ACF3777,0xF4554586,0x463E7328,0xB9563799,0x0D5408B0,0x35FB5A85,0x493ABA6C,0xC52BA2B3,0xB8A91B40,0x03C8FFC2,0xC49A62E6,0x3AA13697,0xFB7A19D5,0x0E7CD4D8,0x26A659A3,0x578D57B3,0xE47CB73D,0x99AD79A0,0x82A05A44,0x08DD6DC0,0xE152E571,0x903CACE5,0x2FC52810,0xCD7241C1,0x1152503E,0x04E34A0C,0x47BB1A50,0xC11FE305,0xD0736795,0x8D3F779A,0xBFE9A38A,0xEF258824,0x7FE04370,0x6A134F50,0x1A54410E,0x01FBBE7C,0x146E3FDC,0x412376D8,0x109EAD43,0x9E8C9B34,0xC889E1C7,0xB94CDAFA,0x725F35FB,0x524DCF2E,0x08156894,0xDE647A24,0xBAC8F02C,0xC0ACE08E,0x949E8DCA,0x1E27BF23,0x8CB32385,0xDDA2A19A,0x4024E593,0xC47E6CE0,0x7AA2CEDD,0xF9ABB3FA,0xDF071945,0x73470DE9,0xE3225798,0x91087C95,0x77E2C5E1,0x0FB4EDD9,0xC27FCFB9,0x31E09E19,0x152B6DEF,0xD8EB2F9F,0x0642B1B1,0x4B47E61E,0xC819CFCC,0xF18AE761,0xB0B010EB,0x0F32C0C6,0x79808C23,0x2F940D56,0xBD71CC08,0xE7A27A15,0xC473F6FD,0xA895E29F,0x080A31BC,0x261057F6,0xD23E2AA2,0x37FF8BF4,0xB9133ED9,0xFE68564E,0x1331FD5B,0x43FEF1A1,0x2124F4C2,0xFCA565ED,0xE9E5ED82,0xB951234A,0x93F18D00,0xAAE48D06,0xA39A5443,0x3E387C62,0x3A2699C1,0xCED57B47,0xDCB4D2AE,0x1F0AE78D,0xED93A0CF,0x2C021F0E,0x13B87AA8,0xFABB63A4,0x32698328,0x72749D10,0xC8A511F6,0x56DF4D76,0x8C3AECBE,0x7B687A7B,0x058CE3C2,0x8DE91CBC,0x5A356802,0x0FE96FD0,0xE3B7249C,0xB1208B76,0x736BD1D3,0xC5E2F8C3,0x8E83D705,0x94D88B6C,0xBBED1784,0xB3372F5B,0x9A7A73F4,0x287E34E8,0xF3030A75,0x1B9D8C78,0x4B71EA86,0xED7C9AB4,0xDE6B0340,0x6519A853,0xF65C5C33,0xE8994A2A,0xE02762A2,0x3CEB064C,0x4010F21E,0x3918433C,0xFBC0A406,0xBDADF484,0x9092C02F,0xA2D1BD52,0x84526C33,0xFA27E7AA,0x44AB7655,0x34C10B0B,0x6BE0AD03,0xFBE98EBF,0xF0391D06,0xB4095051,0xF83DA377,0xA3F12995,0x1ADBEC7A,0xA491FFB8,0xA1AD0670,0x2CA89B2E,0x62B97D61,0x8454A5D9,0x927DB0E8,0x0558C159,0x1D3CBD5E,0x566527A4,0x56F39A98,0xF8AC509B,0xF7F4390E,0x5344ED79,0x7345BBF1,0x27863870,0xABE49ACC,0xAB89AF3F,0xF68D79DA,0xB1B2AA9E,0x83376842,0x19FA8FAF,0xFEB2B092,0xEF8F6AEA,0x6230BD69,0x40D90157,0x863AEC7B,0x97F1B1B1,0x4D9F7CBE,0x49CEE712,0x3219FDE6,0xF09B208A,0x169B4AD4,0x5CE2C1E7,0x9E9E78EC,0xEE2B1013,0x5DA54D57,0xFC2A2C51,0x40000016,}}
#define __FLOATL_INT_ZERO__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#define __FLOATL_INF__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFFFC0,}}
#define __FLOATL_NAN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xFFFFFFC0,}}
#define __FLOATL_ALL_SIGN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x80000000,}}
#define __FLOATL_ALL_EXP__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x7FFFFFC0,}}
#define __FLOATL_ALL_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x0000003F,}}
#define __FLOATL_ALL_EXP_MANT__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFFFF,}}
#define __FLOATL_HIDE_MANT_BIT__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000040,}}
#define __FLOATL_MANT_PLUS_MAX__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000200,}}
#define __FLOATL_MANT_WHL__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x0000007F,}}
#define __FLOATL_MIN__ (floatl){.u32={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0x00000040,}}
#define __FLOATL_MAX__ (floatl){.u32={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0x7FFFFFBF,}}
#define __FLOATL_EPSILON__ (floatl){.u32={0x00000001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,}}
#endif
/*****************************************************************/
/* Config end */
/*****************************************************************/
#if 0
/*----------------------------------------------------------------------------------*/
/* Generate configuration [START] */
/*----------------------------------------------------------------------------------*/
typedef struct
{
uint32_t buffer[256];
uint32_t FLOATL_BIT_PARTS__; // bits
uint32_t FLOATL_U32_PARTS__; // FLOATL_BIT_PARTS__ / 32 ---- FLOATL_BIT_PARTS__ >> 5
uint32_t FLOATL_U16_PARTS__; // FLOATL_BIT_PARTS__ / 16 ---- FLOATL_BIT_PARTS__ >> 4
uint32_t FLOATL_EXP_BITS__; // floatl_cfg_gen_exp(FLOATL_BIT_PARTS__)
uint32_t FLOATL_MANT_BITS__; // FLOATL_BIT_PARTS__ - FLOATL_EXP_BITS__ - 1
uint32_t FLOATL_MANT_PARTS__; // FLOATL_MANT_BITS__ / 32 ---- FLOATL_MANT_BITS__ >> 5
uint32_t FLOATL_MANT_HIGH_BITS__; // FLOATL_MANT_BITS__ % 32 ---- FLOATL_MANT_BITS__ & 0x1F
uint32_t FLOATL_EXP_MID_VALUE__; // 2^(FLOATL_EXP_BITS__-1) - 1
uint32_t FLOATL_EXP_WHL_VALUE__; // 2^(FLOATL_EXP_BITS__) - 1
uint32_t FLOATL2_BIT_PARTS__; // FLOATL_BIT_PARTS__ * 2
uint32_t FLOATL2_U32_PARTS__; // FLOATL2_BIT_PARTS__ / 32 ---- FLOATL2_BIT_PARTS__ >> 5
uint32_t FLOATL2_U16_PARTS__; // FLOATL2_BIT_PARTS__ / 16 ---- FLOATL2_BIT_PARTS__ >> 4
uint32_t FLOATL_MANT_DIG__; // FLOATL_MANT_BITS__ + 1
int32_t FLOATL_MIN_EXP__; // - FLOATL_EXP_MID_VALUE__ + 2
uint32_t FLOATL_MAX_EXP__; // FLOATL_EXP_MID_VALUE__ + 1
uint32_t FLOATL_DIG__; // floor(log10(2) * FLOATL_MANT_DIG__)
uint32_t FLOATL_DECIMAL_DIG__; // ceil(log10(2) * FLOATL_MANT_DIG__) + 1
int32_t FLOATL_MIN_10_EXP__; // ceil(log10(2) * (1 - FLOATL_EXP_MID_VALUE__))
uint32_t FLOATL_MAX_10_EXP__; // - FLOATL_MIN_10_EXP__ + 1
} FLINFO;
typedef struct
{
uint32_t exp;
char *mantBin;
} FLCSTE; // const pow10(n)
static FLCSTE fle_list[] = {
{.exp = 0, .mantBin = "0000000000000000000000000000000000000000000000000000"},
{.exp = 3, .mantBin = "0100000000000000000000000000000000000000000000000000"},
{.exp = 6, .mantBin = "1001000000000000000000000000000000000000000000000000"},
{.exp = 9, .mantBin = "1111010000000000000000000000000000000000000000000000"},
{.exp = 13, .mantBin = "0011100010000000000000000000000000000000000000000000"},
{.exp = 16, .mantBin = "1000011010100000000000000000000000000000000000000000"},
{.exp = 19, .mantBin = "1110100001001000000000000000000000000000000000000000"},
{.exp = 23, .mantBin = "0011000100101101000000000000000000000000000000000000"},
{.exp = 26, .mantBin = "0111110101111000010000000000000000000000000000000000"},
{.exp = 29, .mantBin = "1101110011010110010100000000000000000000000000000000"},
{.exp = 33, .mantBin = "0010101000000101111100100000000000000000000000000000"},
{.exp = 36, .mantBin = "0111010010000111011011101000000000000000000000000000"},
{.exp = 39, .mantBin = "1101000110101001010010100010000000000000000000000000"},
{.exp = 43, .mantBin = "0010001100001001110011100101010000000000000000000000"},
{.exp = 46, .mantBin = "0110101111001100010000011110100100000000000000000000"},
{.exp = 49, .mantBin = "1100011010111111010100100110001101000000000000000000"},
};
// e = 2.8625 * log2(bits) + 0.0111 * bits - 6.6730
uint32_t floatl_cfg_gen_exp(uint32_t bits)
{
const int y = bits;
int mantissa = 0;
int exponent = 0;
int sign = 1;
for (int i = y; i > 0; i--)
{
if (log2(i) * 2 < (y - i - 1))
{
mantissa = i + 1;
break;
}
}
exponent = bits - sign - mantissa;
// printf("---------------- %d\r\n", bits);
// printf("mantissa %d\r\n", mantissa);
// printf("exponent %d\r\n", exponent);
// printf("sign %d\r\n", sign);
// printf("high %d\r\n", mantissa & 0x1F); // % 32
// printf("part %d\r\n", mantissa >> 5); // / 32
if (exponent >= 31) return 0;
return exponent;
}
void floatl_cfg_const_out(FILE* file, FLINFO *info)
{
if (!file || !info) return;
fprintf(file, "(floatl){.u32={");
for (int i = 0; i < info->FLOATL_U32_PARTS__; i++)
{
uint32_t value = info->buffer[i];
if (value == 0) fprintf(file, "0,");
else if (value == 0xFFFFFFFF) fprintf(file, "-1,");
else fprintf(file, "0x%08X,", value);
}
fprintf(file, "}}\n");
}
int floatl_cfg_info_init(FLINFO *info, unsigned int bits)
{
if ((bits & (bits - 1)) != 0) return 0;
info->FLOATL_BIT_PARTS__ = bits;
info->FLOATL_U32_PARTS__ = info->FLOATL_BIT_PARTS__ >> (5);
info->FLOATL_U16_PARTS__ = info->FLOATL_BIT_PARTS__ >> (4);
info->FLOATL_EXP_BITS__ = floatl_cfg_gen_exp(info->FLOATL_BIT_PARTS__);
info->FLOATL_MANT_BITS__ = info->FLOATL_BIT_PARTS__ - info->FLOATL_EXP_BITS__ - 1;
info->FLOATL_MANT_PARTS__ = info->FLOATL_MANT_BITS__ >> 5;
info->FLOATL_MANT_HIGH_BITS__ = info->FLOATL_MANT_BITS__ & 0x1F;
info->FLOATL_EXP_MID_VALUE__ = (uint32_t)pow(2, info->FLOATL_EXP_BITS__ - 1) - 1;
info->FLOATL_EXP_WHL_VALUE__ = (uint32_t)pow(2, info->FLOATL_EXP_BITS__) - 1;
info->FLOATL2_BIT_PARTS__ = info->FLOATL_BIT_PARTS__ * 2;
info->FLOATL2_U32_PARTS__ = info->FLOATL2_BIT_PARTS__ >> (5);
info->FLOATL2_U16_PARTS__ = info->FLOATL2_BIT_PARTS__ >> (4);
info->FLOATL_MANT_DIG__ = info->FLOATL_MANT_BITS__ + 1;
info->FLOATL_MIN_EXP__ = - info->FLOATL_EXP_MID_VALUE__ + 2;
info->FLOATL_MAX_EXP__ = info->FLOATL_EXP_MID_VALUE__ + 1;
info->FLOATL_DIG__ = floor(log10(2) * info->FLOATL_MANT_DIG__);
info->FLOATL_DECIMAL_DIG__ = ceil(log10(2) * info->FLOATL_MANT_DIG__) + 1;
info->FLOATL_MIN_10_EXP__ = ceil(log10(2) * (int32_t)(1 - info->FLOATL_EXP_MID_VALUE__));
info->FLOATL_MAX_10_EXP__ = - info->FLOATL_MIN_10_EXP__ + 1;
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
return 1;
}
FLINFO *floatl_cfg_set_sign(FLINFO *info, int sign)
{
if (sign) info->buffer[info->FLOATL_U32_PARTS__ - 1] |= (1 << 31);
else info->buffer[info->FLOATL_U32_PARTS__ - 1] &= ~(1 << 31);
return info;
}
FLINFO *floatl_cfg_set_exp_real(FLINFO *info, uint32_t t)
{
uint32_t temp = 1;
temp <<= info->FLOATL_EXP_BITS__;
temp -= 1;
t &= temp;
t <<= (32 - info->FLOATL_EXP_BITS__ - 1);
temp <<= (32 - info->FLOATL_EXP_BITS__ - 1);
info->buffer[info->FLOATL_U32_PARTS__ - 1] &= (~temp); // clear
info->buffer[info->FLOATL_U32_PARTS__ - 1] |= t;
return info;
}
FLINFO *floatl_cfg_set_exp(FLINFO *info, int32_t e)
{
return floatl_cfg_set_exp_real(info, e + info->FLOATL_EXP_MID_VALUE__);
}
FLINFO *floatl_cfg_set_mant(FLINFO *info, char *bin)
{
char *s = bin;
while (*s)
{
int index = info->FLOATL_MANT_BITS__ - (s - bin) - 1;
if (index < 0) break;
if (index >= 0 && *s == '1')
{
int part = index / 32;
int bit = index % 32;
info->buffer[part] |= (1 << bit);
}
s++;
}
return info;
}
FLINFO *floatl_cfg_int_zero(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
return info;
}
FLINFO *floatl_cfg_const_0(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
return info;
}
FLINFO *floatl_cfg_const_1(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 0xFFFFFFFF);
info->buffer[info->FLOATL_U32_PARTS__ - 1] &= 0xBFFFFFFF;
return info;
}
FLINFO *floatl_cfg_const_1eX(FLINFO *info, uint32_t e)
{
if (e >= sizeof(fle_list) / sizeof(fle_list[0])) return NULL;
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp(info, fle_list[e].exp);
floatl_cfg_set_mant(info, fle_list[e].mantBin);
return info;
}
FLINFO *floatl_cfg_const_pi(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp(info, 1);
floatl_cfg_set_mant(info, FLOATL_CFG_MANT_PI);
return info;
}
FLINFO *floatl_cfg_const_e(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp(info, 1);
floatl_cfg_set_mant(info, FLOATL_CFG_MANT_E);
return info;
}
FLINFO *floatl_cfg_inf(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 0xFFFFFFFF);
return info;
}
FLINFO *floatl_cfg_nan(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 0xFFFFFFFF);
info->buffer[info->FLOATL_U32_PARTS__ - 1] |= 0x80000000;
return info;
}
FLINFO *floatl_cfg_all_sign(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
info->buffer[info->FLOATL_U32_PARTS__ - 1] |= 0x80000000;
return info;
}
FLINFO *floatl_cfg_all_exp(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 0xFFFFFFFF);
return info;
}
FLINFO *floatl_cfg_all_mant(FLINFO *info)
{
memset(info->buffer, -1, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 0);
info->buffer[info->FLOATL_U32_PARTS__ - 1] &= (~0x80000000);
return info;
}
FLINFO *floatl_cfg_all_exp_mant(FLINFO *info)
{
memset(info->buffer, -1, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
info->buffer[info->FLOATL_U32_PARTS__ - 1] &= (~0x80000000);
return info;
}
FLINFO *floatl_cfg_hide_mant_bit(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 1);
return info;
}
FLINFO *floatl_cfg_mant_plus_max(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 8);
return info;
}
FLINFO *floatl_cfg_mant_whole(FLINFO *info)
{
memset(info->buffer, -1, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 1);
info->buffer[info->FLOATL_U32_PARTS__ - 1] &= (~0x80000000);
return info;
}
FLINFO *floatl_cfg_min(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_exp_real(info, 1);
return info;
}
FLINFO *floatl_cfg_max(FLINFO *info)
{
memset(info->buffer, -1, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
floatl_cfg_set_sign(info, 0);
floatl_cfg_set_exp_real(info, 0xFFFFFFFE);
return info;
}
FLINFO *floatl_cfg_epsilon(FLINFO *info)
{
memset(info->buffer, 0, info->FLOATL_U32_PARTS__ * sizeof(uint32_t));
info->buffer[0] |= 1;
return info;
}
void floatl_cfg_generate(uint32_t bits, const char *filename)
{
#define MINBITS 64
#define NEWLINE "\n" // "\r\n" //
FILE* output = stdout; // Default output to standard output
if (filename != NULL)
{
output = fopen(filename, "w");
if (output == NULL)
{
fprintf(stdout, "[ERROR] Failed to open output file"NEWLINE);
return;
}
}
/* The number of bits in an floatl needs to be an exponent of two */
if ((bits & (bits - 1)) != 0)
{
fprintf(stdout, "[ERROR] `bits` not a power of 2"NEWLINE);
return;
}
/* Enable PI and E mant configurations */
if (!FLOATL_CFG_MANT_PI || !FLOATL_CFG_MANT_E)
{
fprintf(stdout, "[ERROR] Enable `FLOATL_CFG_MANT_PI` and `FLOATL_CFG_MANT_E` in `floatl_cfg.h` file"NEWLINE);
return;
}
/* Limiting the minimum bit */
if (bits < MINBITS)
{
fprintf(stdout, "[ERROR] `bits` too small\r\b");
return;
}
fprintf(output, "/*****************************************************************/"NEWLINE);
fprintf(output, "/* Config start */"NEWLINE);
fprintf(output, "/*****************************************************************/"NEWLINE);
for (uint32_t tb = MINBITS; tb <= bits; tb <<= 1)
{
if (tb == MINBITS)
{
fprintf(output, "#define FLOATL_USE_%uBITS"NEWLINE, tb);
}
else
{
fprintf(output, "// #define FLOATL_USE_%uBITS"NEWLINE, tb);
}
}
fprintf(output, NEWLINE);
floatl temp;
for (uint32_t tb = MINBITS; tb <= bits; tb <<= 1)
{
if (tb == MINBITS)
{
fprintf(output, "#if defined(FLOATL_USE_%uBITS)"NEWLINE, tb);
}
else
{
fprintf(output, "#elif defined(FLOATL_USE_%uBITS)"NEWLINE, tb);
}
FLINFO info;
floatl_cfg_info_init(&info, tb);
fprintf(output, "#define __FLOATL_BIT_PARTS__ %u"NEWLINE, info.FLOATL_BIT_PARTS__ );
fprintf(output, "#define __FLOATL_U32_PARTS__ %u"NEWLINE, info.FLOATL_U32_PARTS__ );
fprintf(output, "#define __FLOATL_U16_PARTS__ %u"NEWLINE, info.FLOATL_U16_PARTS__ );
fprintf(output, "#define __FLOATL_EXP_BITS__ %u"NEWLINE, info.FLOATL_EXP_BITS__ );
fprintf(output, "#define __FLOATL_MANT_BITS__ %u"NEWLINE, info.FLOATL_MANT_BITS__ );
fprintf(output, "#define __FLOATL_MANT_PARTS__ %u"NEWLINE, info.FLOATL_MANT_PARTS__ );
fprintf(output, "#define __FLOATL_MANT_HIGH_BITS__ %u"NEWLINE, info.FLOATL_MANT_HIGH_BITS__ );
fprintf(output, "#define __FLOATL_EXP_MID_VALUE__ %u"NEWLINE, info.FLOATL_EXP_MID_VALUE__ );
fprintf(output, "#define __FLOATL_EXP_WHL_VALUE__ %u"NEWLINE, info.FLOATL_EXP_WHL_VALUE__ );
fprintf(output, "#define __FLOATL2_BIT_PARTS__ %u"NEWLINE, info.FLOATL2_BIT_PARTS__ );
fprintf(output, "#define __FLOATL2_U32_PARTS__ %u"NEWLINE, info.FLOATL2_U32_PARTS__ );
fprintf(output, "#define __FLOATL2_U16_PARTS__ %u"NEWLINE, info.FLOATL2_U16_PARTS__ );
fprintf(output, "#define __FLOATL_MANT_DIG__ %u"NEWLINE, info.FLOATL_MANT_DIG__ );
fprintf(output, "#define __FLOATL_MIN_EXP__ %d"NEWLINE, info.FLOATL_MIN_EXP__ );
fprintf(output, "#define __FLOATL_MAX_EXP__ %u"NEWLINE, info.FLOATL_MAX_EXP__ );
fprintf(output, "#define __FLOATL_DIG__ %u"NEWLINE, info.FLOATL_DIG__ );
fprintf(output, "#define __FLOATL_DECIMAL_DIG__ %u"NEWLINE, info.FLOATL_DECIMAL_DIG__ );
fprintf(output, "#define __FLOATL_MIN_10_EXP__ %d"NEWLINE, info.FLOATL_MIN_10_EXP__ );
fprintf(output, "#define __FLOATL_MAX_10_EXP__ %u"NEWLINE, info.FLOATL_MAX_10_EXP__ );
fprintf(output, "#define __FLOATL_CONST_0__ "); floatl_cfg_const_out(output, floatl_cfg_const_0(&info) );
fprintf(output, "#define __FLOATL_CONST_1__ "); floatl_cfg_const_out(output, floatl_cfg_const_1(&info) );
fprintf(output, "#define __FLOATL_CONST_1e0__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,0) );
fprintf(output, "#define __FLOATL_CONST_1e1__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,1) );
fprintf(output, "#define __FLOATL_CONST_1e2__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,2) );
fprintf(output, "#define __FLOATL_CONST_1e3__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,3) );
fprintf(output, "#define __FLOATL_CONST_1e4__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,4) );
fprintf(output, "#define __FLOATL_CONST_1e5__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,5) );
fprintf(output, "#define __FLOATL_CONST_1e6__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,6) );
fprintf(output, "#define __FLOATL_CONST_1e7__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,7) );
fprintf(output, "#define __FLOATL_CONST_1e8__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,8) );
fprintf(output, "#define __FLOATL_CONST_1e9__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,9) );
fprintf(output, "#define __FLOATL_CONST_1e10__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,10) );
fprintf(output, "#define __FLOATL_CONST_1e11__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,11) );
fprintf(output, "#define __FLOATL_CONST_1e12__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,12) );
fprintf(output, "#define __FLOATL_CONST_1e13__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,13) );
fprintf(output, "#define __FLOATL_CONST_1e14__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,14) );
fprintf(output, "#define __FLOATL_CONST_1e15__ "); floatl_cfg_const_out(output, floatl_cfg_const_1eX(&info,15) );
fprintf(output, "#define __FLOATL_CONST_PI__ "); floatl_cfg_const_out(output, floatl_cfg_const_pi(&info) );
fprintf(output, "#define __FLOATL_CONST_E__ "); floatl_cfg_const_out(output, floatl_cfg_const_e(&info) );
fprintf(output, "#define __FLOATL_INT_ZERO__ "); floatl_cfg_const_out(output, floatl_cfg_int_zero(&info) );
fprintf(output, "#define __FLOATL_INF__ "); floatl_cfg_const_out(output, floatl_cfg_inf(&info) );
fprintf(output, "#define __FLOATL_NAN__ "); floatl_cfg_const_out(output, floatl_cfg_nan(&info) );
fprintf(output, "#define __FLOATL_ALL_SIGN__ "); floatl_cfg_const_out(output, floatl_cfg_all_sign(&info) );
fprintf(output, "#define __FLOATL_ALL_EXP__ "); floatl_cfg_const_out(output, floatl_cfg_all_exp(&info) );
fprintf(output, "#define __FLOATL_ALL_MANT__ "); floatl_cfg_const_out(output, floatl_cfg_all_mant(&info) );
fprintf(output, "#define __FLOATL_ALL_EXP_MANT__ "); floatl_cfg_const_out(output, floatl_cfg_all_exp_mant(&info) );
fprintf(output, "#define __FLOATL_HIDE_MANT_BIT__ "); floatl_cfg_const_out(output, floatl_cfg_hide_mant_bit(&info) );
fprintf(output, "#define __FLOATL_MANT_PLUS_MAX__ "); floatl_cfg_const_out(output, floatl_cfg_mant_plus_max(&info) );
fprintf(output, "#define __FLOATL_MANT_WHL__ "); floatl_cfg_const_out(output, floatl_cfg_mant_whole(&info) );
fprintf(output, "#define __FLOATL_MIN__ "); floatl_cfg_const_out(output, floatl_cfg_min(&info) );
fprintf(output, "#define __FLOATL_MAX__ "); floatl_cfg_const_out(output, floatl_cfg_max(&info) );
fprintf(output, "#define __FLOATL_EPSILON__ "); floatl_cfg_const_out(output, floatl_cfg_epsilon(&info) );
}
fprintf(output, "#endif"NEWLINE);
fprintf(output, "/*****************************************************************/"NEWLINE);
fprintf(output, "/* Config end */"NEWLINE);
fprintf(output, "/*****************************************************************/"NEWLINE);
printf("\r\n\r\n-------------------------------------------------------------\r\n\r\n");
if (sizeof(temp) != (bits >> 3))
{
printf("[TODO] Apply the current configuration and run it again to get the new `FLOATL_MAX_DEC`\r\n");
}
else
{
printf("[INFO] The configuration has been generated, copy it to the `floatl_cfg.h` range specified\r\n");
}
}
/*----------------------------------------------------------------------------------*/
/* Generate configuration [END] */
/*----------------------------------------------------------------------------------*/
#endif
#endif