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gmp_gcdext
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gmp_gcdext
PHP 4 >= 4.0.4, PHP 5, PHP 7, PHP 8
gmp_gcdext - Calculate GCD and multipliers
Manual
Code Examples
Example #1 Solving a linear Diophantine equation
<?php // Solve the equation a*s + b*t = g // where a = 12, b = 21, g = gcd(12, 21) = 3 $a = gmp_init(12); $b = gmp_init(21); $g = gmp_gcd($a, $b); $r = gmp_gcdext($a, $b); $check_gcd = (gmp_strval($g) == gmp_strval($r['g'])); $eq_res = gmp_add(gmp_mul($a, $r['s']), gmp_mul($b, $r['t'])); $check_res = (gmp_strval($g) == gmp_strval($eq_res)); if ($check_gcd && $check_res) { $fmt = "Solution: %d*%d + %d*%d = %d\n"; printf($fmt, gmp_strval($a), gmp_strval($r['s']), gmp_strval($b), gmp_strval($r['t']), gmp_strval($r['g'])); } else { echo "Error while solving the equation\n"; } // output: Solution: 12*2 + 21*-1 = 3
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<?php
// Solve the equation a*s + b*t = g
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8.3.18
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5.3.27
5.3.26
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5.3.24
5.3.23
5.3.22
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5.3.20
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5.3.18
5.3.17
5.3.16
5.3.15
5.3.14
5.3.13
5.3.12
5.3.11
5.3.10
5.3.9
5.3.8
5.3.7
5.3.6
5.3.5
5.3.4
5.3.3
5.3.2
5.3.1
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5.2.16
5.2.15
5.2.14
5.2.13
5.2.12
5.2.11
5.2.10
5.2.9
5.2.8
5.2.7
5.2.6
5.2.5
5.2.4
5.2.3
5.2.2
5.2.1
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5.1.5
5.1.4
5.1.3
5.1.2
5.1.1
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5.0.3
4.4.9
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4.4.4
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8.3.0RC5
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8.3.0RC2
8.3.0RC1
8.3.0beta2
8.3.0beta1
8.3.0alpha3
8.3.0alpha2
8.3.0alpha1
Function gmp_gcdext:
Manual
Code Examples
GNU Multiple Precision Functions
gmp_abs
gmp_add
gmp_and
gmp_binomial
gmp_clrbit
gmp_cmp
gmp_com
gmp_divexact
gmp_div_qr
gmp_div_q
gmp_div_r
gmp_div
gmp_export
gmp_fact
gmp_gcdext
gmp_gcd
gmp_hamdist
gmp_import
gmp_init
gmp_intval
gmp_invert
gmp_jacobi
gmp_kronecker
gmp_lcm
gmp_legendre
gmp_mod
gmp_mul
gmp_neg
gmp_nextprime
gmp_or
gmp_perfect_power
gmp_perfect_square
gmp_popcount
gmp_powm
gmp_pow
gmp_prob_prime
gmp_random_bits
gmp_random_range
gmp_random_seed
gmp_random
gmp_rootrem
gmp_root
gmp_scan0
gmp_scan1
gmp_setbit
gmp_sign
gmp_sqrtrem
gmp_sqrt
gmp_strval
gmp_sub
gmp_testbit
gmp_xor
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