std::numeric_limits<T>:: denorm_min

From cppreference.com
Utilities library
General utilities
Relational operators (deprecated in C++20)
static T denorm_min ( ) throw ( ) ;
(until C++11)
static constexpr T denorm_min ( ) noexcept ;
(since C++11)

Returns the minimum positive subnormal value of the type T , if std:: numeric_limits < T > :: has_denorm ! = std:: denorm_absent , otherwise returns std:: numeric_limits < T > :: min ( ) for floating point types and T ( ) for all other types. Only meaningful for floating-point types.

Return value

T std:: numeric_limits < T > :: denorm_min ( )
/* non-specialized */ T ( )
bool false
char 0
signed char 0
unsigned char 0
wchar_t 0
char8_t (since C++20) 0
char16_t (since C++11) 0
char32_t (since C++11) 0
short 0
unsigned short 0
int 0
unsigned int 0
long 0
unsigned long 0
long long (since C++11) 0
unsigned long long since (since C++11) 0
float FLT_TRUE_MIN ( 2 -149 if
std:: numeric_limits < float > :: is_iec559 is true )
double DBL_TRUE_MIN ( 2 -1074 if
std:: numeric_limits < double > :: is_iec559 is true )
long double LDBL_TRUE_MIN

Example

Demonstates the underlying bit structure of the denorm_min() and prints the values:

#include <cassert>
#include <cstdint>
#include <cstring>
#include <iostream>
#include <limits>
 
int main()
{
    // the smallest subnormal value has sign bit = 0, exponent = 0
    // and only the least significant bit of the fraction is 1
    std::uint32_t denorm_bits = 0x0001;
    float denorm_float;
    std::memcpy(&denorm_float, &denorm_bits, sizeof(float));
 
    assert(denorm_float == std::numeric_limits<float>::denorm_min());
 
    std::cout << "float\tmin()\t\tdenorm_min()\n";
    std::cout << "\t" << std::numeric_limits<float>::min() << '\t';
    std::cout <<         std::numeric_limits<float>::denorm_min() << '\n';
 
    std::cout << "double\tmin()\t\tdenorm_min()\n";
    std::cout << "\t" << std::numeric_limits<double>::min() << '\t';
    std::cout <<         std::numeric_limits<double>::denorm_min() << '\n';
}

Possible output:

float	min()		denorm_min()
	1.17549e-38	1.4013e-45
double	min()		denorm_min()
	2.22507e-308	4.94066e-324

See also

[static]
returns the smallest finite value of the given type
(public static member function)
[static]
identifies the denormalization style used by the floating-point type
(public static member constant)
[static] (C++11)
returns the lowest finite value of the given type
(public static member function)