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Maths › Combinatorics ›
Arithmetic
Expx2
Computes the exponential of a squared argument.
| double | expx2 (double x, int sign=1) |
Factorial
Calculates the factorial of an integer number.
| double | factorial (int n) |
Falling Factorial
Calculates the falling factorial with arguments \e x and \e n.
| double | falling_factorial (double x, int n) |
Multinomial
Calculates the multinomial coefficient with the given arguments.
| int | multinomial (int n, int *factors) |
Rising Factorial
Calculates the rising factorial with arguments \e x and \e n.
| double | rising_factorial (double x, int n) |
Binomial Coefficient Gamma
Computes the binomial coefficient with the given arguments.
| int | binomial_coefficient_gamma (int n, int k) |
Multinomial Gamma
Calculates the multinomial coefficient with the given arguments.
| int | multinomial_gamma (int n, int *factors) |
Cube Root
Returns the cube root of the argument, which may be negative.
| double | cubeRoot (double x) |
Exp Sub1
Exponentiates a number and subtracts 1.
| double | exp_sub1 (double x) |
Ln Add1
Evaluates the natural logarithm of a number + 1.
| double | ln_add1 (double x) |
Xsub Ln Add1
Evaluation of the function x - ln(1 + x)
| double | xsub_ln_add1 (double x) |
Binomial Coefficient
Returns the binomial coefficient using the factorial function.
| double | binomial_coefficient (int n, int k)[inline] |
Add
Performs the addition of two long positive integers in the given base.
| std::string | add (std::string a, std::string b, int base = 10) |
Subtract
Performs the subtraction of two long positive integers in the given base.
| std::string | subtract (std::string a, std::string b, int base = 10) |
Multiply
Performs the multiplication of two long positive integers in the given base.
| std::string | multiply (std::string a, std::string b, int base = 10) |
Karatsuba
Main Karatsuba recursive algorithm
| std::string | karatsuba_mul (std::string a, std::string b, int base = 10) |
| std::string | karatsuba (std::string a, std::string b, int base = 10) |
Log Factorial
Calculates the logarithm of the factorial with given argument.
| double | log_factorial (int n) |
Log Binomial
Calculates the logarithm of the binomial coefficient with given arguments.
| double | log_binomial (int n, int k)[inline] |
Gcd
Compute the greatest common divisor of two values.
Excel: GCD
| double | gcd (double a, double b) |
Nroot
A function that calculates the nth root of an object
| template<class T> T | nroot (const T& x, const T& n) |
Log Inv
Computes the inverse logarithm
| double | log_inv (unsigned int base, double result) |