Internal constants for Decimal and Int128 implementations. More...

#include <array>
#include <cstdint>
#include <string_view>

Include dependency graph for Constants.h:

Variables
constexpr int	nfx::datatypes::constants::BITS_PER_UINT8 { 8 }
	Bit shift amount for 8-bit operations.
constexpr int	nfx::datatypes::constants::BITS_PER_UINT16 { 16 }
	Bit shift amount for 16-bit operations.
constexpr int	nfx::datatypes::constants::BITS_PER_UINT32 { 32 }
	Bit shift amount for 32-bit operations (used for extracting/combining uint32_t from uint64_t).
constexpr int	nfx::datatypes::constants::BITS_PER_UINT64 { 64 }
	Bit shift amount for 64-bit operations (used for extracting/combining uint64_t from uint128_t).
constexpr std::uint64_t	nfx::datatypes::constants::UINT32_MAX_VALUE { 0xFFFFFFFFULL }
	Maximum value for 32-bit unsigned integer (2^32 - 1).
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_ONE { 1ULL }
	Bit mask value 1 as unsigned 64-bit (used for bit operations).
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_ZERO { 0ULL }
	Bit mask value 0 as unsigned 64-bit (used for bit operations).
constexpr int	nfx::datatypes::constants::BITS_PER_NIBBLE { 4 }
	Bit shift amount for 4-bit operations.
constexpr int	nfx::datatypes::constants::BITS_PER_PAIR { 2 }
	Bit shift amount for 2-bit operations.
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_UPPER_32 { 0xFFFFFFFF00000000ULL }
	Mask for testing upper 32 bits of 64-bit value.
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_UPPER_16 { 0xFFFF000000000000ULL }
	Mask for testing upper 16 bits of upper 32 bits.
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_UPPER_8 { 0xFF00000000000000ULL }
	Mask for testing upper 8 bits of upper 16 bits.
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_UPPER_4 { 0xF000000000000000ULL }
	Mask for testing upper 4 bits of upper 8 bits.
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_UPPER_2 { 0xC000000000000000ULL }
	Mask for testing upper 2 bits of upper 4 bits.
constexpr std::uint64_t	nfx::datatypes::constants::BIT_MASK_MSB { 0x8000000000000000ULL }
	Mask for testing most significant bit.
constexpr std::uint8_t	nfx::datatypes::constants::DOUBLE_DECIMAL_PRECISION { 15U }
	Maximum decimal precision that IEEE 754 double can accurately represent.
constexpr int	nfx::datatypes::constants::INT128_BASE { 10 }
	Base for decimal digit conversion.
constexpr int	nfx::datatypes::constants::INT128_MAX_BIT_INDEX { 127 }
	Maximum bit index for 128-bit integers (0-127).
constexpr std::uint64_t	nfx::datatypes::constants::INT128_MUL10_OVERFLOW_THRESHOLD { 0x1999999999999999ULL }
	Maximum high 64-bit value before multiplying by 10 causes overflow (0xFFFFFFFFFFFFFFFF / 10).
constexpr double	nfx::datatypes::constants::INT128_MAX_AS_DOUBLE { 1.7014118346046923e38 }
	Double approximation of maximum positive Int128 value (2^127 - 1) for overflow checks.
constexpr double	nfx::datatypes::constants::INT128_MIN_AS_DOUBLE { -1.7014118346046924e38 }
	Double approximation of minimum negative Int128 value (-2^127) for overflow checks.
constexpr std::uint64_t	nfx::datatypes::constants::INT128_MAX_POSITIVE_HIGH { 0x7FFFFFFFFFFFFFFFULL }
	High 64 bits of maximum positive 128-bit signed integer (2^127 - 1).
constexpr std::uint64_t	nfx::datatypes::constants::INT128_MAX_POSITIVE_LOW { 0xFFFFFFFFFFFFFFFFULL }
	Low 64 bits of maximum positive 128-bit signed integer (2^127 - 1).
constexpr std::uint64_t	nfx::datatypes::constants::INT128_MIN_NEGATIVE_HIGH { 0x8000000000000000ULL }
	High 64 bits of minimum negative 128-bit signed integer (-2^127).
constexpr std::uint64_t	nfx::datatypes::constants::INT128_MIN_NEGATIVE_LOW { 0x0000000000000000ULL }
	Low 64 bits of minimum negative 128-bit signed integer (-2^127).
constexpr size_t	nfx::datatypes::constants::INT128_MAX_DIGIT_COUNT { 39UL }
	Maximum number of decimal digits in a 128-bit signed integer (2^127 - 1 has 39 digits).
constexpr size_t	nfx::datatypes::constants::INT128_MAX_STRING_LENGTH { 64UL }
	Maximum expected length for Int128 string representation.
constexpr int	nfx::datatypes::constants::INT128_ISQRT_MAX_ITERATIONS { 100 }
	Maximum iterations for Int128::isqrt() Heron's method.
constexpr int	nfx::datatypes::constants::DECIMAL_SQRT_MAX_ITERATIONS { 10 }
	Maximum iterations for Decimal::sqrt() Newton-Raphson refinement.
constexpr std::string_view	nfx::datatypes::constants::INT128_MAX_POSITIVE_STRING { "170141183460469231731687303715884105727" }
	Maximum positive value as decimal string (2^127 - 1).
constexpr std::string_view	nfx::datatypes::constants::INT128_MAX_NEGATIVE_STRING { "170141183460469231731687303715884105728" }
	Maximum negative value as decimal string (absolute value of -2^127).
constexpr int	nfx::datatypes::constants::INT128_DIGITS { 127 }
	Number of value bits in Int128 (excluding sign bit).
constexpr int	nfx::datatypes::constants::INT128_DIGITS10 { 38 }
	Number of decimal digits representable in Int128 (floor(127 * log10(2))).
constexpr int	nfx::datatypes::constants::INT128_MAX_DIGITS10 { 0 }
	Maximum decimal digits for Int128 (not applicable for integers).
constexpr int	nfx::datatypes::constants::INT128_RADIX { 2 }
	Numeric base for Int128 (binary base-2 system).
constexpr std::uint64_t	nfx::datatypes::constants::DECIMAL_BASE { 10ULL }
	Base for decimal digit conversion.
constexpr std::uint64_t	nfx::datatypes::constants::DECIMAL_96BIT_MAX_LOW { 0xFFFFFFFFFFFFFFFFULL }
	Maximum 96-bit mantissa value (2^96 - 1) as low 64 bits.
constexpr std::uint64_t	nfx::datatypes::constants::DECIMAL_96BIT_MAX_HIGH { 0x00000000FFFFFFFFULL }
	Maximum 96-bit mantissa value (2^96 - 1) as high 32 bits.
constexpr int	nfx::datatypes::constants::DECIMAL_MANTISSA_BITS { 96 }
	Number of bits in Decimal mantissa (96-bit mantissa).
constexpr int	nfx::datatypes::constants::DECIMAL_DIGITS10 { 28 }
	Number of decimal digits representable in Decimal (28 digits).
constexpr int	nfx::datatypes::constants::DECIMAL_RADIX { 10 }
	Numeric base for Decimal (base-10 decimal system).
constexpr double	nfx::datatypes::constants::DECIMAL_FRACTIONAL_EPSILON { 1e-15 }
	Negligibility threshold for fractional parts in double conversion (10^-15).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_MAX_MANTISSA_0 { 0xFFFFFFFFU }
	Lower 32 bits of maximum Decimal mantissa (2^96 - 1).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_MAX_MANTISSA_1 { 0xFFFFFFFFU }
	Middle 32 bits of maximum Decimal mantissa (2^96 - 1).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_MAX_MANTISSA_2 { 0xFFFFFFFFU }
	Upper 32 bits of maximum Decimal mantissa (2^96 - 1).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_MIN_MANTISSA_0 { 1U }
	Lower 32 bits of minimum positive Decimal mantissa (1 × 10^-28).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_MIN_MANTISSA_1 { 0U }
	Middle 32 bits of minimum positive Decimal mantissa (1 × 10^-28).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_MIN_MANTISSA_2 { 0U }
	Upper 32 bits of minimum positive Decimal mantissa (1 × 10^-28).
constexpr std::uint8_t	nfx::datatypes::constants::DECIMAL_MAXIMUM_PLACES { 28U }
	Maximum number of decimal places supported.
constexpr std::uint8_t	nfx::datatypes::constants::DECIMAL_DIVISION_EXTRA_PRECISION { 18U }
	Extra precision digits added during division to maintain accuracy.
constexpr std::uint8_t	nfx::datatypes::constants::DECIMAL_ROUNDING_THRESHOLD { 5U }
	Rounding threshold value (round up if digit >= this value).
constexpr int	nfx::datatypes::constants::DECIMAL_MANTISSA_ARRAY_SIZE { 3 }
	Size of mantissa array in Decimal (3 x 32-bit words = 96 bits).
constexpr std::string_view	nfx::datatypes::constants::DECIMAL_SQRT_EPSILON { "0.000001" }
	Convergence epsilon for Newton-Raphson sqrt algorithm (10^-6 for reliable convergence).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_SCALE_MASK { 0x00FF0000U }
	Bit mask for extracting scale from flags field (bits 16-23).
constexpr std::uint32_t	nfx::datatypes::constants::DECIMAL_SIGN_MASK { 0x80000000U }
	Bit mask for sign detection (bit 31).
constexpr std::uint8_t	nfx::datatypes::constants::DECIMAL_SCALE_SHIFT { 16U }
	Bit position for scale field in flags.
constexpr size_t	nfx::datatypes::constants::DECIMAL_MAX_STRING_LENGTH { 64UL }
	Maximum expected length for decimal string representation.
constexpr size_t	nfx::datatypes::constants::DECIMAL_STRING_BUFFER_SIZE { 64UL }
	Reserved buffer size for string conversion to avoid reallocation.
constexpr std::uint8_t	nfx::datatypes::constants::DECIMAL_POWER_TABLE_SIZE { 20U }
	Power of 10 lookup table size for fast scaling operations (64-bit range).
constexpr std::uint8_t	nfx::datatypes::constants::DECIMAL_EXTENDED_POWER_MIN { 20U }
	Minimum power for extended 128-bit power-of-10 table (10^20 and above).
constexpr std::uint8_t	nfx::datatypes::constants::DECIMAL_EXTENDED_POWER_MAX { 28U }
	Maximum power for extended 128-bit power-of-10 table (10^28).
constexpr std::array< std::uint64_t, DECIMAL_POWER_TABLE_SIZE >	nfx::datatypes::constants::DECIMAL_POWERS_OF_10
	Powers of 10 lookup table for efficient scaling operations (64-bit range: 10^0 to 10^19).
constexpr std::array< std::pair< std::uint64_t, std::uint64_t >, 9 >	nfx::datatypes::constants::DECIMAL_EXTENDED_POWERS_OF_10
	Power-of-10 calculation constants for 128-bit arithmetic.

Detailed Description

Internal constants for Decimal and Int128 implementations.

Defines precision limits, scale constraints, and internal masks

Definition in file Constants.h.

Variable Documentation

◆ BIT_MASK_MSB

std::uint64_t nfx::datatypes::constants::BIT_MASK_MSB { 0x8000000000000000ULL }

inlineconstexpr

Mask for testing most significant bit.

Definition at line 94 of file Constants.h.

◆ BIT_MASK_ONE

std::uint64_t nfx::datatypes::constants::BIT_MASK_ONE { 1ULL }

inlineconstexpr

Bit mask value 1 as unsigned 64-bit (used for bit operations).

Definition at line 63 of file Constants.h.

◆ BIT_MASK_UPPER_16

std::uint64_t nfx::datatypes::constants::BIT_MASK_UPPER_16 { 0xFFFF000000000000ULL }

inlineconstexpr

Mask for testing upper 16 bits of upper 32 bits.

Definition at line 82 of file Constants.h.

◆ BIT_MASK_UPPER_2

std::uint64_t nfx::datatypes::constants::BIT_MASK_UPPER_2 { 0xC000000000000000ULL }

inlineconstexpr

Mask for testing upper 2 bits of upper 4 bits.

Definition at line 91 of file Constants.h.

◆ BIT_MASK_UPPER_32

std::uint64_t nfx::datatypes::constants::BIT_MASK_UPPER_32 { 0xFFFFFFFF00000000ULL }

inlineconstexpr

Mask for testing upper 32 bits of 64-bit value.

Definition at line 79 of file Constants.h.

◆ BIT_MASK_UPPER_4

std::uint64_t nfx::datatypes::constants::BIT_MASK_UPPER_4 { 0xF000000000000000ULL }

inlineconstexpr

Mask for testing upper 4 bits of upper 8 bits.

Definition at line 88 of file Constants.h.

◆ BIT_MASK_UPPER_8

std::uint64_t nfx::datatypes::constants::BIT_MASK_UPPER_8 { 0xFF00000000000000ULL }

inlineconstexpr

Mask for testing upper 8 bits of upper 16 bits.

Definition at line 85 of file Constants.h.

◆ BIT_MASK_ZERO

std::uint64_t nfx::datatypes::constants::BIT_MASK_ZERO { 0ULL }

inlineconstexpr

Bit mask value 0 as unsigned 64-bit (used for bit operations).

Definition at line 66 of file Constants.h.

◆ BITS_PER_NIBBLE

int nfx::datatypes::constants::BITS_PER_NIBBLE { 4 }

inlineconstexpr

Bit shift amount for 4-bit operations.

Definition at line 69 of file Constants.h.

◆ BITS_PER_PAIR

int nfx::datatypes::constants::BITS_PER_PAIR { 2 }

inlineconstexpr

Bit shift amount for 2-bit operations.

Definition at line 72 of file Constants.h.

◆ BITS_PER_UINT16

int nfx::datatypes::constants::BITS_PER_UINT16 { 16 }

inlineconstexpr

Bit shift amount for 16-bit operations.

Definition at line 51 of file Constants.h.

◆ BITS_PER_UINT32

int nfx::datatypes::constants::BITS_PER_UINT32 { 32 }

inlineconstexpr

Bit shift amount for 32-bit operations (used for extracting/combining uint32_t from uint64_t).

Definition at line 54 of file Constants.h.

◆ BITS_PER_UINT64

int nfx::datatypes::constants::BITS_PER_UINT64 { 64 }

inlineconstexpr

Bit shift amount for 64-bit operations (used for extracting/combining uint64_t from uint128_t).

Definition at line 57 of file Constants.h.

◆ BITS_PER_UINT8

int nfx::datatypes::constants::BITS_PER_UINT8 { 8 }

inlineconstexpr

Bit shift amount for 8-bit operations.

Definition at line 48 of file Constants.h.

◆ DECIMAL_96BIT_MAX_HIGH

std::uint64_t nfx::datatypes::constants::DECIMAL_96BIT_MAX_HIGH { 0x00000000FFFFFFFFULL }

inlineconstexpr

Maximum 96-bit mantissa value (2^96 - 1) as high 32 bits.

Definition at line 207 of file Constants.h.

◆ DECIMAL_96BIT_MAX_LOW

std::uint64_t nfx::datatypes::constants::DECIMAL_96BIT_MAX_LOW { 0xFFFFFFFFFFFFFFFFULL }

inlineconstexpr

Maximum 96-bit mantissa value (2^96 - 1) as low 64 bits.

Definition at line 204 of file Constants.h.

◆ DECIMAL_BASE

std::uint64_t nfx::datatypes::constants::DECIMAL_BASE { 10ULL }

inlineconstexpr

Base for decimal digit conversion.

Definition at line 197 of file Constants.h.

◆ DECIMAL_DIGITS10

int nfx::datatypes::constants::DECIMAL_DIGITS10 { 28 }

inlineconstexpr

Number of decimal digits representable in Decimal (28 digits).

Definition at line 217 of file Constants.h.

◆ DECIMAL_DIVISION_EXTRA_PRECISION

std::uint8_t nfx::datatypes::constants::DECIMAL_DIVISION_EXTRA_PRECISION { 18U }

inlineconstexpr

Extra precision digits added during division to maintain accuracy.

Definition at line 251 of file Constants.h.

◆ DECIMAL_EXTENDED_POWER_MAX

std::uint8_t nfx::datatypes::constants::DECIMAL_EXTENDED_POWER_MAX { 28U }

inlineconstexpr

Maximum power for extended 128-bit power-of-10 table (10^28).

Definition at line 292 of file Constants.h.

◆ DECIMAL_EXTENDED_POWER_MIN

std::uint8_t nfx::datatypes::constants::DECIMAL_EXTENDED_POWER_MIN { 20U }

inlineconstexpr

Minimum power for extended 128-bit power-of-10 table (10^20 and above).

Definition at line 289 of file Constants.h.

◆ DECIMAL_EXTENDED_POWERS_OF_10

std::array<std::pair<std::uint64_t, std::uint64_t>, 9> nfx::datatypes::constants::DECIMAL_EXTENDED_POWERS_OF_10

inlineconstexpr

Initial value:

{ {
        { 0x6BC75E2D63100000ULL, 0x0000000000000005ULL }, 
        { 0x35C9ADC5DEA00000ULL, 0x0000000000000036ULL }, 
        { 0x19E0C9BAB2400000ULL, 0x000000000000021EULL }, 
        { 0x02C7E14AF6800000ULL, 0x000000000000152DULL }, 
        { 0x1BCECCEDA1000000ULL, 0x000000000000D3C2ULL }, 
        { 0x161401484A000000ULL, 0x0000000000084595ULL }, 
        { 0xDCC80CD2E4000000ULL, 0x000000000052B7D2ULL }, 
        { 0x9FD0803CE8000000ULL, 0x00000000033B2E3CULL }, 
        { 0x3E25026110000000ULL, 0x00000000204FCE5EULL }  
    } }

Power-of-10 calculation constants for 128-bit arithmetic.

Pre-computed constants for powers that exceed 64-bit range. These are the low and high 64-bit components of 10^n where n > 19.

Definition at line 323 of file Constants.h.

◆ DECIMAL_FRACTIONAL_EPSILON

double nfx::datatypes::constants::DECIMAL_FRACTIONAL_EPSILON { 1e-15 }

inlineconstexpr

Negligibility threshold for fractional parts in double conversion (10^-15).

Definition at line 223 of file Constants.h.

◆ DECIMAL_MANTISSA_ARRAY_SIZE

int nfx::datatypes::constants::DECIMAL_MANTISSA_ARRAY_SIZE { 3 }

inlineconstexpr

Size of mantissa array in Decimal (3 x 32-bit words = 96 bits).

Definition at line 257 of file Constants.h.

◆ DECIMAL_MANTISSA_BITS

int nfx::datatypes::constants::DECIMAL_MANTISSA_BITS { 96 }

inlineconstexpr

Number of bits in Decimal mantissa (96-bit mantissa).

Definition at line 214 of file Constants.h.

◆ DECIMAL_MAX_MANTISSA_0

std::uint32_t nfx::datatypes::constants::DECIMAL_MAX_MANTISSA_0 { 0xFFFFFFFFU }

inlineconstexpr

Lower 32 bits of maximum Decimal mantissa (2^96 - 1).

Definition at line 230 of file Constants.h.

◆ DECIMAL_MAX_MANTISSA_1

std::uint32_t nfx::datatypes::constants::DECIMAL_MAX_MANTISSA_1 { 0xFFFFFFFFU }

inlineconstexpr

Middle 32 bits of maximum Decimal mantissa (2^96 - 1).

Definition at line 233 of file Constants.h.

◆ DECIMAL_MAX_MANTISSA_2

std::uint32_t nfx::datatypes::constants::DECIMAL_MAX_MANTISSA_2 { 0xFFFFFFFFU }

inlineconstexpr

Upper 32 bits of maximum Decimal mantissa (2^96 - 1).

Definition at line 236 of file Constants.h.

◆ DECIMAL_MAX_STRING_LENGTH

size_t nfx::datatypes::constants::DECIMAL_MAX_STRING_LENGTH { 64UL }

inlineconstexpr

Maximum expected length for decimal string representation.

Definition at line 276 of file Constants.h.

◆ DECIMAL_MAXIMUM_PLACES

std::uint8_t nfx::datatypes::constants::DECIMAL_MAXIMUM_PLACES { 28U }

inlineconstexpr

Maximum number of decimal places supported.

Definition at line 248 of file Constants.h.

◆ DECIMAL_MIN_MANTISSA_0

std::uint32_t nfx::datatypes::constants::DECIMAL_MIN_MANTISSA_0 { 1U }

inlineconstexpr

Lower 32 bits of minimum positive Decimal mantissa (1 × 10^-28).

Definition at line 239 of file Constants.h.

◆ DECIMAL_MIN_MANTISSA_1

std::uint32_t nfx::datatypes::constants::DECIMAL_MIN_MANTISSA_1 { 0U }

inlineconstexpr

Middle 32 bits of minimum positive Decimal mantissa (1 × 10^-28).

Definition at line 242 of file Constants.h.

◆ DECIMAL_MIN_MANTISSA_2

std::uint32_t nfx::datatypes::constants::DECIMAL_MIN_MANTISSA_2 { 0U }

inlineconstexpr

Upper 32 bits of minimum positive Decimal mantissa (1 × 10^-28).

Definition at line 245 of file Constants.h.

◆ DECIMAL_POWER_TABLE_SIZE

std::uint8_t nfx::datatypes::constants::DECIMAL_POWER_TABLE_SIZE { 20U }

inlineconstexpr

Power of 10 lookup table size for fast scaling operations (64-bit range).

Definition at line 286 of file Constants.h.

◆ DECIMAL_POWERS_OF_10

std::array<std::uint64_t, DECIMAL_POWER_TABLE_SIZE> nfx::datatypes::constants::DECIMAL_POWERS_OF_10

inlineconstexpr

Initial value:

{ {
        1ULL,                    
        10ULL,                   
        100ULL,                  
        1000ULL,                 
        10000ULL,                
        100000ULL,               
        1000000ULL,              
        10000000ULL,             
        100000000ULL,            
        1000000000ULL,           
        10000000000ULL,          
        100000000000ULL,         
        1000000000000ULL,        
        10000000000000ULL,       
        100000000000000ULL,      
        1000000000000000ULL,     
        10000000000000000ULL,    
        100000000000000000ULL,   
        1000000000000000000ULL,  
        10000000000000000000ULL, 
    } }

Powers of 10 lookup table for efficient scaling operations (64-bit range: 10^0 to 10^19).

Definition at line 295 of file Constants.h.

◆ DECIMAL_RADIX

int nfx::datatypes::constants::DECIMAL_RADIX { 10 }

inlineconstexpr

Numeric base for Decimal (base-10 decimal system).

Definition at line 220 of file Constants.h.

◆ DECIMAL_ROUNDING_THRESHOLD

std::uint8_t nfx::datatypes::constants::DECIMAL_ROUNDING_THRESHOLD { 5U }

inlineconstexpr

Rounding threshold value (round up if digit >= this value).

Definition at line 254 of file Constants.h.

◆ DECIMAL_SCALE_MASK

std::uint32_t nfx::datatypes::constants::DECIMAL_SCALE_MASK { 0x00FF0000U }

inlineconstexpr

Bit mask for extracting scale from flags field (bits 16-23).

Definition at line 263 of file Constants.h.

◆ DECIMAL_SCALE_SHIFT

std::uint8_t nfx::datatypes::constants::DECIMAL_SCALE_SHIFT { 16U }

inlineconstexpr

Bit position for scale field in flags.

Definition at line 269 of file Constants.h.

◆ DECIMAL_SIGN_MASK

std::uint32_t nfx::datatypes::constants::DECIMAL_SIGN_MASK { 0x80000000U }

inlineconstexpr

Bit mask for sign detection (bit 31).

Definition at line 266 of file Constants.h.

◆ DECIMAL_SQRT_EPSILON

std::string_view nfx::datatypes::constants::DECIMAL_SQRT_EPSILON { "0.000001" }

inlineconstexpr

Convergence epsilon for Newton-Raphson sqrt algorithm (10^-6 for reliable convergence).

Definition at line 260 of file Constants.h.

◆ DECIMAL_SQRT_MAX_ITERATIONS

int nfx::datatypes::constants::DECIMAL_SQRT_MAX_ITERATIONS { 10 }

inlineconstexpr

Maximum iterations for Decimal::sqrt() Newton-Raphson refinement.

Definition at line 164 of file Constants.h.

◆ DECIMAL_STRING_BUFFER_SIZE

size_t nfx::datatypes::constants::DECIMAL_STRING_BUFFER_SIZE { 64UL }

inlineconstexpr

Reserved buffer size for string conversion to avoid reallocation.

Definition at line 279 of file Constants.h.

◆ DOUBLE_DECIMAL_PRECISION

std::uint8_t nfx::datatypes::constants::DOUBLE_DECIMAL_PRECISION { 15U }

inlineconstexpr

Maximum decimal precision that IEEE 754 double can accurately represent.

Definition at line 101 of file Constants.h.

◆ INT128_BASE

int nfx::datatypes::constants::INT128_BASE { 10 }

inlineconstexpr

Base for decimal digit conversion.

Definition at line 112 of file Constants.h.

◆ INT128_DIGITS

int nfx::datatypes::constants::INT128_DIGITS { 127 }

inlineconstexpr

Number of value bits in Int128 (excluding sign bit).

Definition at line 177 of file Constants.h.

◆ INT128_DIGITS10

int nfx::datatypes::constants::INT128_DIGITS10 { 38 }

inlineconstexpr

Number of decimal digits representable in Int128 (floor(127 * log10(2))).

Definition at line 180 of file Constants.h.

◆ INT128_ISQRT_MAX_ITERATIONS

int nfx::datatypes::constants::INT128_ISQRT_MAX_ITERATIONS { 100 }

inlineconstexpr

Maximum iterations for Int128::isqrt() Heron's method.

Definition at line 161 of file Constants.h.

◆ INT128_MAX_AS_DOUBLE

double nfx::datatypes::constants::INT128_MAX_AS_DOUBLE { 1.7014118346046923e38 }

inlineconstexpr

Double approximation of maximum positive Int128 value (2^127 - 1) for overflow checks.

Definition at line 129 of file Constants.h.

◆ INT128_MAX_BIT_INDEX

int nfx::datatypes::constants::INT128_MAX_BIT_INDEX { 127 }

inlineconstexpr

Maximum bit index for 128-bit integers (0-127).

Definition at line 119 of file Constants.h.

◆ INT128_MAX_DIGIT_COUNT

size_t nfx::datatypes::constants::INT128_MAX_DIGIT_COUNT { 39UL }

inlineconstexpr

Maximum number of decimal digits in a 128-bit signed integer (2^127 - 1 has 39 digits).

Definition at line 155 of file Constants.h.

◆ INT128_MAX_DIGITS10

int nfx::datatypes::constants::INT128_MAX_DIGITS10 { 0 }

inlineconstexpr

Maximum decimal digits for Int128 (not applicable for integers).

Definition at line 183 of file Constants.h.

◆ INT128_MAX_NEGATIVE_STRING

std::string_view nfx::datatypes::constants::INT128_MAX_NEGATIVE_STRING { "170141183460469231731687303715884105728" }

inlineconstexpr

Maximum negative value as decimal string (absolute value of -2^127).

Definition at line 170 of file Constants.h.

◆ INT128_MAX_POSITIVE_HIGH

std::uint64_t nfx::datatypes::constants::INT128_MAX_POSITIVE_HIGH { 0x7FFFFFFFFFFFFFFFULL }

inlineconstexpr

High 64 bits of maximum positive 128-bit signed integer (2^127 - 1).

Definition at line 139 of file Constants.h.

◆ INT128_MAX_POSITIVE_LOW

std::uint64_t nfx::datatypes::constants::INT128_MAX_POSITIVE_LOW { 0xFFFFFFFFFFFFFFFFULL }

inlineconstexpr

Low 64 bits of maximum positive 128-bit signed integer (2^127 - 1).

Definition at line 142 of file Constants.h.

◆ INT128_MAX_POSITIVE_STRING

std::string_view nfx::datatypes::constants::INT128_MAX_POSITIVE_STRING { "170141183460469231731687303715884105727" }

inlineconstexpr

Maximum positive value as decimal string (2^127 - 1).

Definition at line 167 of file Constants.h.

◆ INT128_MAX_STRING_LENGTH

size_t nfx::datatypes::constants::INT128_MAX_STRING_LENGTH { 64UL }

inlineconstexpr

Maximum expected length for Int128 string representation.

Definition at line 158 of file Constants.h.

◆ INT128_MIN_AS_DOUBLE

double nfx::datatypes::constants::INT128_MIN_AS_DOUBLE { -1.7014118346046924e38 }

inlineconstexpr

Double approximation of minimum negative Int128 value (-2^127) for overflow checks.

Definition at line 132 of file Constants.h.

◆ INT128_MIN_NEGATIVE_HIGH

std::uint64_t nfx::datatypes::constants::INT128_MIN_NEGATIVE_HIGH { 0x8000000000000000ULL }

inlineconstexpr

High 64 bits of minimum negative 128-bit signed integer (-2^127).

Definition at line 145 of file Constants.h.

◆ INT128_MIN_NEGATIVE_LOW

std::uint64_t nfx::datatypes::constants::INT128_MIN_NEGATIVE_LOW { 0x0000000000000000ULL }

inlineconstexpr

Low 64 bits of minimum negative 128-bit signed integer (-2^127).

Definition at line 148 of file Constants.h.

◆ INT128_MUL10_OVERFLOW_THRESHOLD

std::uint64_t nfx::datatypes::constants::INT128_MUL10_OVERFLOW_THRESHOLD { 0x1999999999999999ULL }

inlineconstexpr

Maximum high 64-bit value before multiplying by 10 causes overflow (0xFFFFFFFFFFFFFFFF / 10).

Definition at line 126 of file Constants.h.

◆ INT128_RADIX

int nfx::datatypes::constants::INT128_RADIX { 2 }

inlineconstexpr

Numeric base for Int128 (binary base-2 system).

Definition at line 186 of file Constants.h.

◆ UINT32_MAX_VALUE

std::uint64_t nfx::datatypes::constants::UINT32_MAX_VALUE { 0xFFFFFFFFULL }

inlineconstexpr

Maximum value for 32-bit unsigned integer (2^32 - 1).

Definition at line 60 of file Constants.h.

Variables

Detailed Description

Variable Documentation

◆ BIT_MASK_MSB

◆ BIT_MASK_ONE

◆ BIT_MASK_UPPER_16

◆ BIT_MASK_UPPER_2

◆ BIT_MASK_UPPER_32

◆ BIT_MASK_UPPER_4

◆ BIT_MASK_UPPER_8

◆ BIT_MASK_ZERO

◆ BITS_PER_NIBBLE

◆ BITS_PER_PAIR

◆ BITS_PER_UINT16

◆ BITS_PER_UINT32

◆ BITS_PER_UINT64

◆ BITS_PER_UINT8

◆ DECIMAL_96BIT_MAX_HIGH

◆ DECIMAL_96BIT_MAX_LOW

◆ DECIMAL_BASE

◆ DECIMAL_DIGITS10

◆ DECIMAL_DIVISION_EXTRA_PRECISION

◆ DECIMAL_EXTENDED_POWER_MAX

◆ DECIMAL_EXTENDED_POWER_MIN

◆ DECIMAL_EXTENDED_POWERS_OF_10

◆ DECIMAL_FRACTIONAL_EPSILON

◆ DECIMAL_MANTISSA_ARRAY_SIZE

◆ DECIMAL_MANTISSA_BITS

◆ DECIMAL_MAX_MANTISSA_0

◆ DECIMAL_MAX_MANTISSA_1

◆ DECIMAL_MAX_MANTISSA_2

◆ DECIMAL_MAX_STRING_LENGTH

◆ DECIMAL_MAXIMUM_PLACES

◆ DECIMAL_MIN_MANTISSA_0

◆ DECIMAL_MIN_MANTISSA_1

◆ DECIMAL_MIN_MANTISSA_2

◆ DECIMAL_POWER_TABLE_SIZE

◆ DECIMAL_POWERS_OF_10

◆ DECIMAL_RADIX

◆ DECIMAL_ROUNDING_THRESHOLD

◆ DECIMAL_SCALE_MASK

◆ DECIMAL_SCALE_SHIFT

◆ DECIMAL_SIGN_MASK

◆ DECIMAL_SQRT_EPSILON

◆ DECIMAL_SQRT_MAX_ITERATIONS

◆ DECIMAL_STRING_BUFFER_SIZE

◆ DOUBLE_DECIMAL_PRECISION

◆ INT128_BASE

◆ INT128_DIGITS

◆ INT128_DIGITS10

◆ INT128_ISQRT_MAX_ITERATIONS

◆ INT128_MAX_AS_DOUBLE

◆ INT128_MAX_BIT_INDEX

◆ INT128_MAX_DIGIT_COUNT

◆ INT128_MAX_DIGITS10

◆ INT128_MAX_NEGATIVE_STRING

◆ INT128_MAX_POSITIVE_HIGH

◆ INT128_MAX_POSITIVE_LOW

◆ INT128_MAX_POSITIVE_STRING

◆ INT128_MAX_STRING_LENGTH

◆ INT128_MIN_AS_DOUBLE

◆ INT128_MIN_NEGATIVE_HIGH

◆ INT128_MIN_NEGATIVE_LOW

◆ INT128_MUL10_OVERFLOW_THRESHOLD

◆ INT128_RADIX

◆ UINT32_MAX_VALUE