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std::numeric_limits<T>::min_exponent10

static const int min_exponent10;
(until C++11)
static constexpr int min_exponent10;
(since C++11)

The value of std::numeric_limits<T>::min_exponent10 is the lowest negative number n such that \(\scriptsize 10^n\)10n
is a valid normalized value of the floating-point type T.

Standard specializations

T value of std::numeric_limits<T>::min_exponent10
/* non-specialized */ ​0​
bool ​0​
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 C++11) ​0​
float FLT_MIN_10_EXP
double DBL_MIN_10_EXP
long double LDBL_MIN_10_EXP

Example

Demonstrates the relationships of min_exponent, min_exponent10, min(), and radix for the type float:

#include <iostream>
#include <limits>
 
int main()
{
    std::cout << "min() = " << std::numeric_limits<float>::min() << '\n'
              << "min_exponent10 = " << std::numeric_limits<float>::min_exponent10 << '\n'
              << std::hexfloat << '\n'
              << "min() = " << std::numeric_limits<float>::min() << '\n'
              << "min_exponent = " << std::numeric_limits<float>::min_exponent << '\n';
}

Output:

min() = 1.17549e-38
min_exponent10 = -37
 
min() = 0x1p-126
min_exponent = -125

See also

[static]
one more than the smallest negative power of the radix that is a valid normalized floating-point value
(public static member constant)
[static]
one more than the largest integer power of the radix that is a valid finite floating-point value
(public static member constant)
[static]
the largest integer power of 10 that is a valid finite floating-point value
(public static member constant)

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https://en.cppreference.com/w/cpp/types/numeric_limits/min_exponent10