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-rw-r--r--src/libs/3rdparty/botan/src/lib/math/numbertheory/jacobi.cpp53
1 files changed, 53 insertions, 0 deletions
diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/jacobi.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/jacobi.cpp
new file mode 100644
index 0000000000..d3e8d75572
--- /dev/null
+++ b/src/libs/3rdparty/botan/src/lib/math/numbertheory/jacobi.cpp
@@ -0,0 +1,53 @@
+/*
+* Jacobi Function
+* (C) 1999-2007 Jack Lloyd
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/numthry.h>
+
+namespace Botan {
+
+/*
+* Calculate the Jacobi symbol
+*/
+int32_t jacobi(const BigInt& a, const BigInt& n)
+ {
+ if(a.is_negative())
+ throw Invalid_Argument("jacobi: first argument must be non-negative");
+ if(n.is_even() || n < 2)
+ throw Invalid_Argument("jacobi: second argument must be odd and > 1");
+
+ BigInt x = a, y = n;
+ int32_t J = 1;
+
+ while(y > 1)
+ {
+ x %= y;
+ if(x > y / 2)
+ {
+ x = y - x;
+ if(y % 4 == 3)
+ J = -J;
+ }
+ if(x.is_zero())
+ return 0;
+
+ size_t shifts = low_zero_bits(x);
+ x >>= shifts;
+ if(shifts % 2)
+ {
+ word y_mod_8 = y % 8;
+ if(y_mod_8 == 3 || y_mod_8 == 5)
+ J = -J;
+ }
+
+ if(x % 4 == 3 && y % 4 == 3)
+ J = -J;
+ std::swap(x, y);
+ }
+ return J;
+ }
+
+}