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-rw-r--r--bcprov/src/main/java/org/bouncycastle/math/raw/Mod.java199
1 files changed, 199 insertions, 0 deletions
diff --git a/bcprov/src/main/java/org/bouncycastle/math/raw/Mod.java b/bcprov/src/main/java/org/bouncycastle/math/raw/Mod.java
new file mode 100644
index 0000000..47e6d8c
--- /dev/null
+++ b/bcprov/src/main/java/org/bouncycastle/math/raw/Mod.java
@@ -0,0 +1,199 @@
+package org.bouncycastle.math.raw;
+
+import java.util.Random;
+
+import org.bouncycastle.util.Pack;
+
+public abstract class Mod
+{
+ public static int inverse32(int d)
+ {
+// int x = d + (((d + 1) & 4) << 1); // d.x == 1 mod 2**4
+ int x = d; // d.x == 1 mod 2**3
+ x *= 2 - d * x; // d.x == 1 mod 2**6
+ x *= 2 - d * x; // d.x == 1 mod 2**12
+ x *= 2 - d * x; // d.x == 1 mod 2**24
+ x *= 2 - d * x; // d.x == 1 mod 2**48
+// assert d * x == 1;
+ return x;
+ }
+
+ public static void invert(int[] p, int[] x, int[] z)
+ {
+ int len = p.length;
+ if (Nat.isZero(len, x))
+ {
+ throw new IllegalArgumentException("'x' cannot be 0");
+ }
+ if (Nat.isOne(len, x))
+ {
+ System.arraycopy(x, 0, z, 0, len);
+ return;
+ }
+
+ int[] u = Nat.copy(len, x);
+ int[] a = Nat.create(len);
+ a[0] = 1;
+ int ac = 0;
+
+ if ((u[0] & 1) == 0)
+ {
+ ac = inversionStep(p, u, len, a, ac);
+ }
+ if (Nat.isOne(len, u))
+ {
+ inversionResult(p, ac, a, z);
+ return;
+ }
+
+ int[] v = Nat.copy(len, p);
+ int[] b = Nat.create(len);
+ int bc = 0;
+
+ int uvLen = len;
+
+ for (;;)
+ {
+ while (u[uvLen - 1] == 0 && v[uvLen - 1] == 0)
+ {
+ --uvLen;
+ }
+
+ if (Nat.gte(uvLen, u, v))
+ {
+ Nat.subFrom(uvLen, v, u);
+// assert (u[0] & 1) == 0;
+ ac += Nat.subFrom(len, b, a) - bc;
+ ac = inversionStep(p, u, uvLen, a, ac);
+ if (Nat.isOne(uvLen, u))
+ {
+ inversionResult(p, ac, a, z);
+ return;
+ }
+ }
+ else
+ {
+ Nat.subFrom(uvLen, u, v);
+// assert (v[0] & 1) == 0;
+ bc += Nat.subFrom(len, a, b) - ac;
+ bc = inversionStep(p, v, uvLen, b, bc);
+ if (Nat.isOne(uvLen, v))
+ {
+ inversionResult(p, bc, b, z);
+ return;
+ }
+ }
+ }
+ }
+
+ public static int[] random(int[] p)
+ {
+ int len = p.length;
+ Random rand = new Random();
+ int[] s = Nat.create(len);
+
+ int m = p[len - 1];
+ m |= m >>> 1;
+ m |= m >>> 2;
+ m |= m >>> 4;
+ m |= m >>> 8;
+ m |= m >>> 16;
+
+ do
+ {
+ for (int i = 0; i != len; i++)
+ {
+ s[i] = rand.nextInt();
+ }
+ s[len - 1] &= m;
+ }
+ while (Nat.gte(len, s, p));
+
+ return s;
+ }
+
+ public static void add(int[] p, int[] x, int[] y, int[] z)
+ {
+ int len = p.length;
+ int c = Nat.add(len, x, y, z);
+ if (c != 0)
+ {
+ Nat.subFrom(len, p, z);
+ }
+ }
+
+ public static void subtract(int[] p, int[] x, int[] y, int[] z)
+ {
+ int len = p.length;
+ int c = Nat.sub(len, x, y, z);
+ if (c != 0)
+ {
+ Nat.addTo(len, p, z);
+ }
+ }
+
+ private static void inversionResult(int[] p, int ac, int[] a, int[] z)
+ {
+ if (ac < 0)
+ {
+ Nat.add(p.length, a, p, z);
+ }
+ else
+ {
+ System.arraycopy(a, 0, z, 0, p.length);
+ }
+ }
+
+ private static int inversionStep(int[] p, int[] u, int uLen, int[] x, int xc)
+ {
+ int len = p.length;
+ int count = 0;
+ while (u[0] == 0)
+ {
+ Nat.shiftDownWord(uLen, u, 0);
+ count += 32;
+ }
+
+ {
+ int zeroes = getTrailingZeroes(u[0]);
+ if (zeroes > 0)
+ {
+ Nat.shiftDownBits(uLen, u, zeroes, 0);
+ count += zeroes;
+ }
+ }
+
+ for (int i = 0; i < count; ++i)
+ {
+ if ((x[0] & 1) != 0)
+ {
+ if (xc < 0)
+ {
+ xc += Nat.addTo(len, p, x);
+ }
+ else
+ {
+ xc += Nat.subFrom(len, p, x);
+ }
+ }
+
+// assert xc == 0 || xc == 1;
+ Nat.shiftDownBit(len, x, xc);
+ }
+
+ return xc;
+ }
+
+ private static int getTrailingZeroes(int x)
+ {
+// assert x != 0;
+
+ int count = 0;
+ while ((x & 1) == 0)
+ {
+ x >>>= 1;
+ ++count;
+ }
+ return count;
+ }
+}