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A GMP object, an int, or a string that can be interpreted as a number following the same logic as if the string was used in gmp_init () with automatic base detection (i.e. when base is equal to 0).
Jul 11, 2025 · These parameters can be GMP objects in PHP version 5.6 and later, or numeric strings can be passed to the function provided that it is possible to convert those strings to numbers. Return Values : This function returns a GMP number (in PHP 5.5 and earlier) or a GMP object (in PHP 5.6 and later) which is the jacobi of the numbers. Examples:
The gmp_jacobi() function calculates the jacobi symbol. The Jacobi symbol is a generalization of the Legendre symbol. PHP gmp_jacobi() function returns a Jacobi symbol for the given GMP number.
A GMP object, an int, or a string that can be interpreted as a number following the same logic as if the string was used in gmp_init () with automatic base detection (i.e. when base is equal to 0).
Mar 17, 2025 · Return Values This function shows a GMP number or a GMP object (PHP 5.6 and above) that is the Jacobi of the numbers. Examples The following example shows the Jacobi symbol of the different numbers and GMP parameters. Example1: the given code shows the Jacobi symbol of the essential and positive values.
Définition et utilisation le gmp_jacobi () La fonction calcule le symbole jacobi. La description Le symbole Jacobi est une généralisation du symbole Legendre.
The gmp_jacobi () function in PHP calculates the Jacobi symbol, a mathematical function used in number theory. It determines the solvability of quadratic congruences and is commonly employed in cryptographic algorithms. The function returns -1, 0, or 1 based on the Jacobi symbol evaluation, providing information about the quadratic residue properties of two GMP (GNU Multiple Precision) numbers.
