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Improve documenation of internal functions
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1 changed files with 34 additions and 10 deletions
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@ -37,6 +37,10 @@
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* double operations.
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*
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* Doxygen comments for public APIs can be found in the public header file.
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*
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* Invariant that must be held by all public API: the components of an
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* \ref ecc_25519_work_t are always in the range \f$ [0, 2p) \f$.
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* Integers in this range will be called \em squeezed in the following.
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*/
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#include <libuecc/ecc.h>
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@ -74,7 +78,11 @@ static void add(unsigned int out[32], const unsigned int a[32], const unsigned i
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u += a[31] + b[31]; out[31] = u;
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}
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/** Subtracts two unpacked integers (modulo p) */
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/**
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* Subtracts two unpacked integers (modulo p)
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*
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* b must be \em squeezed.
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*/
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static void sub(unsigned int out[32], const unsigned int a[32], const unsigned int b[32]) {
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unsigned int j;
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unsigned int u;
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@ -88,7 +96,11 @@ static void sub(unsigned int out[32], const unsigned int a[32], const unsigned i
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out[31] = u;
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}
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/** Performs carry and reduce on an unpacked integer */
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/**
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* Performs carry and reduce on an unpacked integer
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*
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* The result is not always fully reduced, but it will be significantly smaller than \f$ 2p \f$.
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*/
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static void squeeze(unsigned int a[32]) {
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unsigned int j;
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unsigned int u;
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@ -103,7 +115,7 @@ static void squeeze(unsigned int a[32]) {
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/**
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* Ensures that the output of a previous \ref squeeze is fully reduced
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*
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* After a \ref freeze, only the lower byte of each integer part holds a meaningful value
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* After a \ref freeze, only the lower byte of each integer part holds a meaningful value.
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*/
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static void freeze(unsigned int a[32]) {
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static const unsigned int minusp[32] = {
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@ -123,7 +135,11 @@ static void freeze(unsigned int a[32]) {
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for (j = 0; j < 32; j++) a[j] ^= negative & (aorig[j] ^ a[j]);
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}
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/** Multiplies two unpacked integers (modulo p) */
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/**
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* Multiplies two unpacked integers (modulo p)
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*
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* The result will be \em squeezed.
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*/
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static void mult(unsigned int out[32], const unsigned int a[32], const unsigned int b[32]) {
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unsigned int i;
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unsigned int j;
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@ -138,7 +154,11 @@ static void mult(unsigned int out[32], const unsigned int a[32], const unsigned
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squeeze(out);
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}
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/** Multiplies an unpacked integer with a small integer (modulo p) */
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/**
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* Multiplies an unpacked integer with a small integer (modulo p)
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*
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* The result will be \em squeezed.
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*/
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static void mult_int(unsigned int out[32], unsigned int n, const unsigned int a[32]) {
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unsigned int j;
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unsigned int u;
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@ -151,7 +171,11 @@ static void mult_int(unsigned int out[32], unsigned int n, const unsigned int a[
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u += out[j]; out[j] = u;
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}
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/** Squares an unpacked integer */
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/**
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* Squares an unpacked integer
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*
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* The result will be sqeezed.
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*/
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static void square(unsigned int out[32], const unsigned int a[32]) {
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unsigned int i;
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unsigned int j;
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@ -185,9 +209,9 @@ static int check_equal(const unsigned int x[32], const unsigned int y[32]) {
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}
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/**
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* Checks if an unpacked integer equals zero
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* Checks if an unpacked integer equals zero (modulo p)
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*
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* The intergers must be \ref squeeze "squeezed" before.
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* The interger must be squeezed before.
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*/
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static int check_zero(const unsigned int x[32]) {
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static const unsigned int p[32] = {
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@ -473,7 +497,7 @@ int ecc_25519_load_packed(ecc_25519_work_t *out, const ecc_int256_t *in) {
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if (!square_root(Y, Y2))
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return 0;
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/* No squeeze is necessary for subtractions from zero */
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/* No squeeze is necessary after subtractions from zero if the subtrahend is squeezed */
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sub(Yt, zero, Y);
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select(out->Y, Y, Yt, (in->p[31] >> 7) ^ (Y[0] & 1));
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@ -507,7 +531,7 @@ void ecc_25519_negate(ecc_25519_work_t *out, const ecc_25519_work_t *in) {
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out->Z[i] = in->Z[i];
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}
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/* No squeeze is necessary for subtractions from zero */
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/* No squeeze is necessary after subtractions from zero if the subtrahend is squeezed */
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sub(out->X, zero, in->X);
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sub(out->T, zero, in->T);
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}
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