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authorSamuel Holland <samuel@sholland.org>2018-06-17 14:50:09 -0500
committerSamuel Holland <samuel@sholland.org>2018-06-19 21:59:42 -0500
commitd3a8291a7a0706337531e368e0ad9f584534aa7d (patch)
treedefe6181b488fc293906bd6ce7ff22c92584062c /app/src/main
parentbcae77b989fb3511d666f71b5813201fc1581b73 (diff)
crypto: Slightly Java-ify the Curve25519 implementation
Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
Diffstat (limited to 'app/src/main')
-rw-r--r--app/src/main/java/com/wireguard/crypto/Curve25519.java119
1 files changed, 54 insertions, 65 deletions
diff --git a/app/src/main/java/com/wireguard/crypto/Curve25519.java b/app/src/main/java/com/wireguard/crypto/Curve25519.java
index a20c9f97..20aae598 100644
--- a/app/src/main/java/com/wireguard/crypto/Curve25519.java
+++ b/app/src/main/java/com/wireguard/crypto/Curve25519.java
@@ -10,23 +10,23 @@ import java.util.Arrays;
/**
* Implementation of the Curve25519 elliptic curve algorithm.
* <p>
+ * This implementation was imported to WireGuard from noise-java:
+ * https://github.com/rweather/noise-java
+ * <p>
* This implementation is based on that from arduinolibs:
* https://github.com/rweather/arduinolibs
* <p>
- * This implementation is copied verbatim from noise-java:
- * https://github.com/rweather/noise-java
- * <p>
* Differences in this version are due to using 26-bit limbs for the
* representation instead of the 8/16/32-bit limbs in the original.
* <p>
* References: http://cr.yp.to/ecdh.html, RFC 7748
*/
-@SuppressWarnings("MagicNumber")
+@SuppressWarnings({"MagicNumber", "NonConstantFieldWithUpperCaseName", "SuspiciousNameCombination"})
public final class Curve25519 {
-
// Numbers modulo 2^255 - 19 are broken up into ten 26-bit words.
private static final int NUM_LIMBS_255BIT = 10;
private static final int NUM_LIMBS_510BIT = 20;
+
private final int[] A;
private final int[] AA;
private final int[] B;
@@ -153,6 +153,38 @@ public final class Curve25519 {
}
/**
+ * Subtracts two numbers modulo 2^255 - 19.
+ *
+ * @param result The result.
+ * @param x The first number to subtract.
+ * @param y The second number to subtract.
+ */
+ private static void sub(final int[] result, final int[] x, final int[] y) {
+ int index;
+ int borrow;
+
+ // Subtract y from x to generate the intermediate result.
+ borrow = 0;
+ for (index = 0; index < NUM_LIMBS_255BIT; ++index) {
+ borrow = x[index] - y[index] - ((borrow >> 26) & 0x01);
+ result[index] = borrow & 0x03FFFFFF;
+ }
+
+ // If we had a borrow, then the result has gone negative and we
+ // have to add 2^255 - 19 to the result to make it positive again.
+ // The top bits of "borrow" will be all 1's if there is a borrow
+ // or it will be all 0's if there was no borrow. Easiest is to
+ // conditionally subtract 19 and then mask off the high bits.
+ borrow = result[0] - ((-((borrow >> 26) & 0x01)) & 19);
+ result[0] = borrow & 0x03FFFFFF;
+ for (index = 1; index < NUM_LIMBS_255BIT; ++index) {
+ borrow = result[index] - ((borrow >> 26) & 0x01);
+ result[index] = borrow & 0x03FFFFFF;
+ }
+ result[NUM_LIMBS_255BIT - 1] &= 0x001FFFFF;
+ }
+
+ /**
* Adds two numbers modulo 2^255 - 19.
*
* @param result The result.
@@ -160,8 +192,7 @@ public final class Curve25519 {
* @param y The second number to add.
*/
private void add(final int[] result, final int[] x, final int[] y) {
- int carry;
- carry = x[0] + y[0];
+ int carry = x[0] + y[0];
result[0] = carry & 0x03FFFFFF;
for (int index = 1; index < NUM_LIMBS_255BIT; ++index) {
carry = (carry >> 26) + x[index] + y[index];
@@ -200,12 +231,13 @@ public final class Curve25519 {
*/
private void evalCurve(final byte[] s) {
int sposn = 31;
+ int sbit = 6;
int svalue = s[sposn] | 0x40;
int swap = 0;
// Iterate over all 255 bits of "s" from the highest to the lowest.
// We ignore the high bit of the 256-bit representation of "s".
- for (int sbit = 6; ; ) {
+ while (true) {
// Conditional swaps on entry to this bit but only if we
// didn't swap on the previous bit.
final int select = (svalue >> sbit) & 0x01;
@@ -263,14 +295,12 @@ public final class Curve25519 {
* @param y The second number to multiply.
*/
private void mul(final int[] result, final int[] x, final int[] y) {
- int i;
-
// Multiply the two numbers to create the intermediate result.
long v = x[0];
- for (i = 0; i < NUM_LIMBS_255BIT; ++i) {
+ for (int i = 0; i < NUM_LIMBS_255BIT; ++i) {
t1[i] = v * y[i];
}
- for (i = 1; i < NUM_LIMBS_255BIT; ++i) {
+ for (int i = 1; i < NUM_LIMBS_255BIT; ++i) {
v = x[i];
for (int j = 0; j < (NUM_LIMBS_255BIT - 1); ++j) {
t1[i + j] += v * y[j];
@@ -281,7 +311,7 @@ public final class Curve25519 {
// Propagate carries and convert back into 26-bit words.
v = t1[0];
t2[0] = ((int) v) & 0x03FFFFFF;
- for (i = 1; i < NUM_LIMBS_510BIT; ++i) {
+ for (int i = 1; i < NUM_LIMBS_510BIT; ++i) {
v = (v >> 26) + t1[i];
t2[i] = ((int) v) & 0x03FFFFFF;
}
@@ -315,8 +345,6 @@ public final class Curve25519 {
* @param x The argument.
*/
private void pow250(final int[] result, final int[] x) {
- int j;
-
// The big-endian hexadecimal expansion of (2^250 - 1) is:
// 03FFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF
//
@@ -329,11 +357,11 @@ public final class Curve25519 {
// Build a pattern of 250 bits in length of repeated copies of 0000000001.
square(A, x);
- for (j = 0; j < 9; ++j)
+ for (int j = 0; j < 9; ++j)
square(A, A);
mul(result, A, x);
for (int i = 0; i < 23; ++i) {
- for (j = 0; j < 10; ++j)
+ for (int j = 0; j < 10; ++j)
square(A, A);
mul(result, result, A);
}
@@ -342,7 +370,7 @@ public final class Curve25519 {
// the result to "fill in" the gaps in the pattern.
square(A, result);
mul(result, result, A);
- for (j = 0; j < 8; ++j) {
+ for (int j = 0; j < 8; ++j) {
square(A, A);
mul(result, result, A);
}
@@ -381,18 +409,14 @@ public final class Curve25519 {
* @param size The number of limbs in the high order half of x.
*/
private void reduce(final int[] result, final int[] x, final int size) {
- int index;
- int limb;
- int carry;
-
// Calculate (x mod 2^255) + ((x / 2^255) * 19) which will
// either produce the answer we want or it will produce a
// value of the form "answer + j * (2^255 - 19)". There are
// 5 left-over bits in the top-most limb of the bottom half.
- carry = 0;
- limb = x[NUM_LIMBS_255BIT - 1] >> 21;
+ int carry = 0;
+ int limb = x[NUM_LIMBS_255BIT - 1] >> 21;
x[NUM_LIMBS_255BIT - 1] &= 0x001FFFFF;
- for (index = 0; index < size; ++index) {
+ for (int index = 0; index < size; ++index) {
limb += x[NUM_LIMBS_255BIT + index] << 5;
carry += (limb & 0x03FFFFFF) * 19 + x[index];
x[index] = carry & 0x03FFFFFF;
@@ -402,7 +426,7 @@ public final class Curve25519 {
if (size < NUM_LIMBS_255BIT) {
// The high order half of the number is short; e.g. for mulA24().
// Propagate the carry through the rest of the low order part.
- for (index = size; index < NUM_LIMBS_255BIT; ++index) {
+ for (int index = size; index < NUM_LIMBS_255BIT; ++index) {
carry += x[index];
x[index] = carry & 0x03FFFFFF;
carry >>= 26;
@@ -417,7 +441,7 @@ public final class Curve25519 {
// top 5 bits of the highest limb of the bottom half.
carry = (x[NUM_LIMBS_255BIT - 1] >> 21) * 19;
x[NUM_LIMBS_255BIT - 1] &= 0x001FFFFF;
- for (index = 0; index < NUM_LIMBS_255BIT; ++index) {
+ for (int index = 0; index < NUM_LIMBS_255BIT; ++index) {
carry += x[index];
result[index] = carry & 0x03FFFFFF;
carry >>= 26;
@@ -436,14 +460,11 @@ public final class Curve25519 {
* @param x The number to reduce, and the result.
*/
private void reduceQuick(final int[] x) {
- int index;
- int carry;
-
// Perform a trial subtraction of (2^255 - 19) from "x" which is
// equivalent to adding 19 and subtracting 2^255. We add 19 here;
// the subtraction of 2^255 occurs in the next step.
- carry = 19;
- for (index = 0; index < NUM_LIMBS_255BIT; ++index) {
+ int carry = 19;
+ for (int index = 0; index < NUM_LIMBS_255BIT; ++index) {
carry += x[index];
t2[index] = carry & 0x03FFFFFF;
carry >>= 26;
@@ -457,7 +478,7 @@ public final class Curve25519 {
final int mask = -((t2[NUM_LIMBS_255BIT - 1] >> 21) & 0x01);
final int nmask = ~mask;
t2[NUM_LIMBS_255BIT - 1] &= 0x001FFFFF;
- for (index = 0; index < NUM_LIMBS_255BIT; ++index)
+ for (int index = 0; index < NUM_LIMBS_255BIT; ++index)
x[index] = (x[index] & nmask) | (t2[index] & mask);
}
@@ -470,36 +491,4 @@ public final class Curve25519 {
private void square(final int[] result, final int[] x) {
mul(result, x, x);
}
-
- /**
- * Subtracts two numbers modulo 2^255 - 19.
- *
- * @param result The result.
- * @param x The first number to subtract.
- * @param y The second number to subtract.
- */
- private static void sub(final int[] result, final int[] x, final int[] y) {
- int index;
- int borrow;
-
- // Subtract y from x to generate the intermediate result.
- borrow = 0;
- for (index = 0; index < NUM_LIMBS_255BIT; ++index) {
- borrow = x[index] - y[index] - ((borrow >> 26) & 0x01);
- result[index] = borrow & 0x03FFFFFF;
- }
-
- // If we had a borrow, then the result has gone negative and we
- // have to add 2^255 - 19 to the result to make it positive again.
- // The top bits of "borrow" will be all 1's if there is a borrow
- // or it will be all 0's if there was no borrow. Easiest is to
- // conditionally subtract 19 and then mask off the high bits.
- borrow = result[0] - ((-((borrow >> 26) & 0x01)) & 19);
- result[0] = borrow & 0x03FFFFFF;
- for (index = 1; index < NUM_LIMBS_255BIT; ++index) {
- borrow = result[index] - ((borrow >> 26) & 0x01);
- result[index] = borrow & 0x03FFFFFF;
- }
- result[NUM_LIMBS_255BIT - 1] &= 0x001FFFFF;
- }
}