Increase sparsity of pippenger fixed window naf representation
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@ -607,6 +607,19 @@ static int secp256k1_wnaf_fixed(int *wnaf, const secp256k1_scalar *s, int w) {
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} else {
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wnaf[pos] = (val + sign) ^ sign;
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}
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/* Set a coefficient to zero if it is 1 or -1 and the proceeding digit
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* is strictly negative or strictly positive respectively. Only change
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* coefficients at previous positions because above code assumes that
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* wnaf[pos - 1] is odd.
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*/
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if (pos >= 2 && ((wnaf[pos - 1] == 1 && wnaf[pos - 2] < 0) || (wnaf[pos - 1] == -1 && wnaf[pos - 2] > 0))) {
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if (wnaf[pos - 1] == 1) {
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wnaf[pos - 2] += 1 << w;
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} else {
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wnaf[pos - 2] -= 1 << w;
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}
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wnaf[pos - 1] = 0;
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}
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++pos;
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}
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VERIFY_CHECK(pos == WNAF_SIZE(w));
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@ -3022,8 +3022,7 @@ void test_fixed_wnaf(const secp256k1_scalar *number, int w) {
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for (i = WNAF_SIZE(w)-1; i >= 0; --i) {
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secp256k1_scalar t;
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int v = wnaf[i];
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CHECK(v != 0); /* check nonzero */
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CHECK(v & 1); /* check parity */
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CHECK(v == 0 || v & 1); /* check parity */
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CHECK(v > -(1 << w)); /* check range above */
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CHECK(v < (1 << w)); /* check range below */
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