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Adds 32 static test vectors for scalar mul, sqr, inv.

Browse Source 
These were generated by testing more than 10^12 random test vectors
 for coverage on instrumented (comparison operator outcomes) 32-bit
 and 64-bit code, plus additional edge condition requirements (e.g.
 inputs of 0, 1, -1) and then solving a minimum set cover problem.

The required responses were generated with Sage.

This significantly improves the lcov branch coverage report and
 makes the tests much more sensitive to mutation testing of the
 scalar code.

The challenges and responses are in the form of pairs of scalars:
  C1 * C2 == R1
  (C1 * C2) * (1 / C2) == C1
  C2 * (1 / C2) == 1
  C1 * C1 == R2
  C1^2    == R2
pull/11871/head
Gregory Maxwell 9 years ago
parent 3b7bc695ef
commit 26abce75ea
1 changed files with 578 additions and 0 deletions
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578
src/tests.c
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@ -826,6 +826,584 @@ void run_scalar_tests(void) {
CHECK(secp256k1_scalar_is_zero(&zero));
}
#endif
{
/* Does check_overflow check catch all ones? */
static const secp256k1_scalar overflowed = SECP256K1_SCALAR_CONST(
0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL
);
CHECK(secp256k1_scalar_check_overflow(&overflowed));
}
{
/* Static test vectors.
* These were reduced from ~10^12 random vectors based on comparision-decision
* and edge-case coverage on 32-bit and 64-bit implementations.
* The responses were generated with Sage 5.9.
*/
secp256k1_scalar x;
secp256k1_scalar y;
secp256k1_scalar z;
secp256k1_scalar zz;
secp256k1_scalar one;
secp256k1_scalar r1;
secp256k1_scalar r2;
#if defined(USE_SCALAR_INV_NUM)
secp256k1_scalar zzv;
#endif
int overflow;
unsigned char chal[32][2][32] = {
{{0xff, 0xff, 0x03, 0x07, 0x00, 0x00, 0x00, 0x00,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03,
0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff,
0xff, 0xff, 0x03, 0x00, 0xc0, 0xff, 0xff, 0xff},
{0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff}},
{{0xef, 0xff, 0x1f, 0x00, 0x00, 0x00, 0x00, 0x00,
0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe0,
0xff, 0xff, 0xff, 0xff, 0xfc, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, 0x80, 0xff}},
{{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x00, 0x00,
0x80, 0x00, 0x00, 0x80, 0xff, 0x3f, 0x00, 0x00,
0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, 0x00},
{0x00, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, 0x80,
0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, 0x00, 0xe0,
0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff}},
{{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x00, 0x1e, 0xf8, 0xff, 0xff, 0xff, 0xfd, 0xff},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x1f,
0x00, 0x00, 0x00, 0xf8, 0xff, 0x03, 0x00, 0xe0,
0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0xf0, 0xff,
0xf3, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00}},
{{0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0x00,
0x00, 0x1c, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xe0, 0xff, 0xff, 0xff, 0x00,
0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00,
0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0x1f, 0x00, 0x00, 0x80, 0xff, 0xff, 0x3f,
0x00, 0xfe, 0xff, 0xff, 0xff, 0xdf, 0xff, 0xff}},
{{0xff, 0xff, 0xff, 0xff, 0x00, 0x0f, 0xfc, 0x9f,
0xff, 0xff, 0xff, 0x00, 0x80, 0x00, 0x00, 0x80,
0xff, 0x0f, 0xfc, 0xff, 0x7f, 0x00, 0x00, 0x00,
0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00},
{0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80,
0x00, 0x00, 0xf8, 0xff, 0x0f, 0xc0, 0xff, 0xff,
0xff, 0x1f, 0x00, 0x00, 0x00, 0xc0, 0xff, 0xff,
0xff, 0xff, 0xff, 0x07, 0x80, 0xff, 0xff, 0xff}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00,
0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff,
0xf7, 0xff, 0xff, 0xef, 0xff, 0xff, 0xff, 0x00,
0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0xf0},
{0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0x01, 0x00, 0x00, 0x00,
0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}},
{{0x00, 0xf8, 0xff, 0x03, 0xff, 0xff, 0xff, 0x00,
0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0x03, 0xc0, 0xff, 0x0f, 0xfc, 0xff},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xe0, 0xff, 0xff,
0xff, 0x01, 0x00, 0x00, 0x00, 0x3f, 0x00, 0xc0,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}},
{{0x8f, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0x7f, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
{{0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0x03, 0x00, 0x80, 0x00, 0x00, 0x80,
0xff, 0xff, 0xff, 0x00, 0x00, 0x80, 0xff, 0x7f},
{0xff, 0xcf, 0xff, 0xff, 0x01, 0x00, 0x00, 0x00,
0x00, 0xc0, 0xff, 0xcf, 0xff, 0xff, 0xff, 0xff,
0xbf, 0xff, 0x0e, 0x00, 0x00, 0x00, 0x00, 0x00,
0x80, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00}},
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0xff, 0xff,
0xff, 0xff, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0x00, 0x80, 0x00, 0x00, 0x80,
0xff, 0x01, 0xfc, 0xff, 0x01, 0x00, 0xfe, 0xff},
{0xff, 0xff, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xc0,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00}},
{{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
0xe0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0x7f, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0xf8, 0xff, 0x01, 0x00, 0xf0, 0xff, 0xff,
0xe0, 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0x00},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00,
0xfc, 0xff, 0xff, 0x3f, 0xf0, 0xff, 0xff, 0x3f,
0x00, 0x00, 0xf8, 0x07, 0x00, 0x00, 0x00, 0xff,
0xff, 0xff, 0xff, 0xff, 0x0f, 0x7e, 0x00, 0x00}},
{{0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0x1f, 0x00, 0x00, 0xfe, 0x07, 0x00},
{0x00, 0x00, 0x00, 0xf0, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xfb, 0xff, 0x07, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x60}},
{{0xff, 0x01, 0x00, 0xff, 0xff, 0xff, 0x0f, 0x00,
0x80, 0x7f, 0xfe, 0xff, 0xff, 0xff, 0xff, 0x03,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff},
{0xff, 0xff, 0x1f, 0x00, 0xf0, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x00, 0x00}},
{{0x80, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf1, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03,
0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x7e, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xc0, 0xff, 0xff, 0xcf, 0xff, 0x1f, 0x00, 0x00,
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x7e,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x7c, 0x00},
{0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80,
0xff, 0xff, 0x7f, 0x00, 0x80, 0x00, 0x00, 0x00,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x00, 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x80,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00},
{0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x80,
0xff, 0x01, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff,
0xff, 0x7f, 0xf8, 0xff, 0xff, 0x1f, 0x00, 0xfe}},
{{0xff, 0xff, 0xff, 0x3f, 0xf8, 0xff, 0xff, 0xff,
0xff, 0x03, 0xfe, 0x01, 0x00, 0x00, 0x00, 0x00,
0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x07},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80,
0xff, 0xff, 0xff, 0xff, 0x01, 0x80, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}},
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b,
0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40}},
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
{{0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff},
{0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0xc0,
0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0xf0, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01, 0x00,
0xf0, 0xff, 0xff, 0xff, 0xff, 0x07, 0x00, 0x00,
0x00, 0x00, 0x00, 0xfe, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0x01, 0xff, 0xff, 0xff}},
{{0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b,
0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0x7e, 0x00, 0x00, 0xc0, 0xff, 0xff, 0x07, 0x00,
0x80, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x00,
0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff},
{0xff, 0x01, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x80,
0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00, 0x00,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}},
{{0xff, 0xff, 0xf0, 0xff, 0xff, 0xff, 0xff, 0x00,
0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x00, 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01,
0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff},
{0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff,
0xff, 0xff, 0x3f, 0x00, 0xf8, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0x3f, 0x00, 0x00, 0xc0, 0xf1, 0x7f, 0x00}},
{{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00,
0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0x00},
{0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff,
0xff, 0x7f, 0x00, 0x00, 0x00, 0x00, 0x80, 0x1f,
0x00, 0x00, 0xfc, 0xff, 0xff, 0x01, 0xff, 0xff}},
{{0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0x80, 0x00, 0x00, 0x80, 0xff, 0x03, 0xe0, 0x01,
0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0xfc, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00},
{0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
0xfe, 0xff, 0xff, 0xf0, 0x07, 0x00, 0x3c, 0x80,
0xff, 0xff, 0xff, 0xff, 0xfc, 0xff, 0xff, 0xff,
0xff, 0xff, 0x07, 0xe0, 0xff, 0x00, 0x00, 0x00}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00,
0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x07, 0xf8,
0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80},
{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0x0c, 0x80, 0x00,
0x00, 0x00, 0x00, 0xc0, 0x7f, 0xfe, 0xff, 0x1f,
0x00, 0xfe, 0xff, 0x03, 0x00, 0x00, 0xfe, 0xff}},
{{0xff, 0xff, 0x81, 0xff, 0xff, 0xff, 0xff, 0x00,
0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x83,
0xff, 0xff, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80,
0xff, 0xff, 0x7f, 0x00, 0x00, 0x00, 0x00, 0xf0},
{0xff, 0x01, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x00,
0xf8, 0x07, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff,
0xff, 0xc7, 0xff, 0xff, 0xe0, 0xff, 0xff, 0xff}}
};
unsigned char res[32][2][32] = {
{{0x0c, 0x3b, 0x0a, 0xca, 0x8d, 0x1a, 0x2f, 0xb9,
0x8a, 0x7b, 0x53, 0x5a, 0x1f, 0xc5, 0x22, 0xa1,
0x07, 0x2a, 0x48, 0xea, 0x02, 0xeb, 0xb3, 0xd6,
0x20, 0x1e, 0x86, 0xd0, 0x95, 0xf6, 0x92, 0x35},
{0xdc, 0x90, 0x7a, 0x07, 0x2e, 0x1e, 0x44, 0x6d,
0xf8, 0x15, 0x24, 0x5b, 0x5a, 0x96, 0x37, 0x9c,
0x37, 0x7b, 0x0d, 0xac, 0x1b, 0x65, 0x58, 0x49,
0x43, 0xb7, 0x31, 0xbb, 0xa7, 0xf4, 0x97, 0x15}},
{{0xf1, 0xf7, 0x3a, 0x50, 0xe6, 0x10, 0xba, 0x22,
0x43, 0x4d, 0x1f, 0x1f, 0x7c, 0x27, 0xca, 0x9c,
0xb8, 0xb6, 0xa0, 0xfc, 0xd8, 0xc0, 0x05, 0x2f,
0xf7, 0x08, 0xe1, 0x76, 0xdd, 0xd0, 0x80, 0xc8},
{0xe3, 0x80, 0x80, 0xb8, 0xdb, 0xe3, 0xa9, 0x77,
0x00, 0xb0, 0xf5, 0x2e, 0x27, 0xe2, 0x68, 0xc4,
0x88, 0xe8, 0x04, 0xc1, 0x12, 0xbf, 0x78, 0x59,
0xe6, 0xa9, 0x7c, 0xe1, 0x81, 0xdd, 0xb9, 0xd5}},
{{0x96, 0xe2, 0xee, 0x01, 0xa6, 0x80, 0x31, 0xef,
0x5c, 0xd0, 0x19, 0xb4, 0x7d, 0x5f, 0x79, 0xab,
0xa1, 0x97, 0xd3, 0x7e, 0x33, 0xbb, 0x86, 0x55,
0x60, 0x20, 0x10, 0x0d, 0x94, 0x2d, 0x11, 0x7c},
{0xcc, 0xab, 0xe0, 0xe8, 0x98, 0x65, 0x12, 0x96,
0x38, 0x5a, 0x1a, 0xf2, 0x85, 0x23, 0x59, 0x5f,
0xf9, 0xf3, 0xc2, 0x81, 0x70, 0x92, 0x65, 0x12,
0x9c, 0x65, 0x1e, 0x96, 0x00, 0xef, 0xe7, 0x63}},
{{0xac, 0x1e, 0x62, 0xc2, 0x59, 0xfc, 0x4e, 0x5c,
0x83, 0xb0, 0xd0, 0x6f, 0xce, 0x19, 0xf6, 0xbf,
0xa4, 0xb0, 0xe0, 0x53, 0x66, 0x1f, 0xbf, 0xc9,
0x33, 0x47, 0x37, 0xa9, 0x3d, 0x5d, 0xb0, 0x48},
{0x86, 0xb9, 0x2a, 0x7f, 0x8e, 0xa8, 0x60, 0x42,
0x26, 0x6d, 0x6e, 0x1c, 0xa2, 0xec, 0xe0, 0xe5,
0x3e, 0x0a, 0x33, 0xbb, 0x61, 0x4c, 0x9f, 0x3c,
0xd1, 0xdf, 0x49, 0x33, 0xcd, 0x72, 0x78, 0x18}},
{{0xf7, 0xd3, 0xcd, 0x49, 0x5c, 0x13, 0x22, 0xfb,
0x2e, 0xb2, 0x2f, 0x27, 0xf5, 0x8a, 0x5d, 0x74,
0xc1, 0x58, 0xc5, 0xc2, 0x2d, 0x9f, 0x52, 0xc6,
0x63, 0x9f, 0xba, 0x05, 0x76, 0x45, 0x7a, 0x63},
{0x8a, 0xfa, 0x55, 0x4d, 0xdd, 0xa3, 0xb2, 0xc3,
0x44, 0xfd, 0xec, 0x72, 0xde, 0xef, 0xc0, 0x99,
0xf5, 0x9f, 0xe2, 0x52, 0xb4, 0x05, 0x32, 0x58,
0x57, 0xc1, 0x8f, 0xea, 0xc3, 0x24, 0x5b, 0x94}},
{{0x05, 0x83, 0xee, 0xdd, 0x64, 0xf0, 0x14, 0x3b,
0xa0, 0x14, 0x4a, 0x3a, 0x41, 0x82, 0x7c, 0xa7,
0x2c, 0xaa, 0xb1, 0x76, 0xbb, 0x59, 0x64, 0x5f,
0x52, 0xad, 0x25, 0x29, 0x9d, 0x8f, 0x0b, 0xb0},
{0x7e, 0xe3, 0x7c, 0xca, 0xcd, 0x4f, 0xb0, 0x6d,
0x7a, 0xb2, 0x3e, 0xa0, 0x08, 0xb9, 0xa8, 0x2d,
0xc2, 0xf4, 0x99, 0x66, 0xcc, 0xac, 0xd8, 0xb9,
0x72, 0x2a, 0x4a, 0x3e, 0x0f, 0x7b, 0xbf, 0xf4}},
{{0x8c, 0x9c, 0x78, 0x2b, 0x39, 0x61, 0x7e, 0xf7,
0x65, 0x37, 0x66, 0x09, 0x38, 0xb9, 0x6f, 0x70,
0x78, 0x87, 0xff, 0xcf, 0x93, 0xca, 0x85, 0x06,
0x44, 0x84, 0xa7, 0xfe, 0xd3, 0xa4, 0xe3, 0x7e},
{0xa2, 0x56, 0x49, 0x23, 0x54, 0xa5, 0x50, 0xe9,
0x5f, 0xf0, 0x4d, 0xe7, 0xdc, 0x38, 0x32, 0x79,
0x4f, 0x1c, 0xb7, 0xe4, 0xbb, 0xf8, 0xbb, 0x2e,
0x40, 0x41, 0x4b, 0xcc, 0xe3, 0x1e, 0x16, 0x36}},
{{0x0c, 0x1e, 0xd7, 0x09, 0x25, 0x40, 0x97, 0xcb,
0x5c, 0x46, 0xa8, 0xda, 0xef, 0x25, 0xd5, 0xe5,
0x92, 0x4d, 0xcf, 0xa3, 0xc4, 0x5d, 0x35, 0x4a,
0xe4, 0x61, 0x92, 0xf3, 0xbf, 0x0e, 0xcd, 0xbe},
{0xe4, 0xaf, 0x0a, 0xb3, 0x30, 0x8b, 0x9b, 0x48,
0x49, 0x43, 0xc7, 0x64, 0x60, 0x4a, 0x2b, 0x9e,
0x95, 0x5f, 0x56, 0xe8, 0x35, 0xdc, 0xeb, 0xdc,
0xc7, 0xc4, 0xfe, 0x30, 0x40, 0xc7, 0xbf, 0xa4}},
{{0xd4, 0xa0, 0xf5, 0x81, 0x49, 0x6b, 0xb6, 0x8b,
0x0a, 0x69, 0xf9, 0xfe, 0xa8, 0x32, 0xe5, 0xe0,
0xa5, 0xcd, 0x02, 0x53, 0xf9, 0x2c, 0xe3, 0x53,
0x83, 0x36, 0xc6, 0x02, 0xb5, 0xeb, 0x64, 0xb8},
{0x1d, 0x42, 0xb9, 0xf9, 0xe9, 0xe3, 0x93, 0x2c,
0x4c, 0xee, 0x6c, 0x5a, 0x47, 0x9e, 0x62, 0x01,
0x6b, 0x04, 0xfe, 0xa4, 0x30, 0x2b, 0x0d, 0x4f,
0x71, 0x10, 0xd3, 0x55, 0xca, 0xf3, 0x5e, 0x80}},
{{0x77, 0x05, 0xf6, 0x0c, 0x15, 0x9b, 0x45, 0xe7,
0xb9, 0x11, 0xb8, 0xf5, 0xd6, 0xda, 0x73, 0x0c,
0xda, 0x92, 0xea, 0xd0, 0x9d, 0xd0, 0x18, 0x92,
0xce, 0x9a, 0xaa, 0xee, 0x0f, 0xef, 0xde, 0x30},
{0xf1, 0xf1, 0xd6, 0x9b, 0x51, 0xd7, 0x77, 0x62,
0x52, 0x10, 0xb8, 0x7a, 0x84, 0x9d, 0x15, 0x4e,
0x07, 0xdc, 0x1e, 0x75, 0x0d, 0x0c, 0x3b, 0xdb,
0x74, 0x58, 0x62, 0x02, 0x90, 0x54, 0x8b, 0x43}},
{{0xa6, 0xfe, 0x0b, 0x87, 0x80, 0x43, 0x67, 0x25,
0x57, 0x5d, 0xec, 0x40, 0x50, 0x08, 0xd5, 0x5d,
0x43, 0xd7, 0xe0, 0xaa, 0xe0, 0x13, 0xb6, 0xb0,
0xc0, 0xd4, 0xe5, 0x0d, 0x45, 0x83, 0xd6, 0x13},
{0x40, 0x45, 0x0a, 0x92, 0x31, 0xea, 0x8c, 0x60,
0x8c, 0x1f, 0xd8, 0x76, 0x45, 0xb9, 0x29, 0x00,
0x26, 0x32, 0xd8, 0xa6, 0x96, 0x88, 0xe2, 0xc4,
0x8b, 0xdb, 0x7f, 0x17, 0x87, 0xcc, 0xc8, 0xf2}},
{{0xc2, 0x56, 0xe2, 0xb6, 0x1a, 0x81, 0xe7, 0x31,
0x63, 0x2e, 0xbb, 0x0d, 0x2f, 0x81, 0x67, 0xd4,
0x22, 0xe2, 0x38, 0x02, 0x25, 0x97, 0xc7, 0x88,
0x6e, 0xdf, 0xbe, 0x2a, 0xa5, 0x73, 0x63, 0xaa},
{0x50, 0x45, 0xe2, 0xc3, 0xbd, 0x89, 0xfc, 0x57,
0xbd, 0x3c, 0xa3, 0x98, 0x7e, 0x7f, 0x36, 0x38,
0x92, 0x39, 0x1f, 0x0f, 0x81, 0x1a, 0x06, 0x51,
0x1f, 0x8d, 0x6a, 0xff, 0x47, 0x16, 0x06, 0x9c}},
{{0x33, 0x95, 0xa2, 0x6f, 0x27, 0x5f, 0x9c, 0x9c,
0x64, 0x45, 0xcb, 0xd1, 0x3c, 0xee, 0x5e, 0x5f,
0x48, 0xa6, 0xaf, 0xe3, 0x79, 0xcf, 0xb1, 0xe2,
0xbf, 0x55, 0x0e, 0xa2, 0x3b, 0x62, 0xf0, 0xe4},
{0x14, 0xe8, 0x06, 0xe3, 0xbe, 0x7e, 0x67, 0x01,
0xc5, 0x21, 0x67, 0xd8, 0x54, 0xb5, 0x7f, 0xa4,
0xf9, 0x75, 0x70, 0x1c, 0xfd, 0x79, 0xdb, 0x86,
0xad, 0x37, 0x85, 0x83, 0x56, 0x4e, 0xf0, 0xbf}},
{{0xbc, 0xa6, 0xe0, 0x56, 0x4e, 0xef, 0xfa, 0xf5,
0x1d, 0x5d, 0x3f, 0x2a, 0x5b, 0x19, 0xab, 0x51,
0xc5, 0x8b, 0xdd, 0x98, 0x28, 0x35, 0x2f, 0xc3,
0x81, 0x4f, 0x5c, 0xe5, 0x70, 0xb9, 0xeb, 0x62},
{0xc4, 0x6d, 0x26, 0xb0, 0x17, 0x6b, 0xfe, 0x6c,
0x12, 0xf8, 0xe7, 0xc1, 0xf5, 0x2f, 0xfa, 0x91,
0x13, 0x27, 0xbd, 0x73, 0xcc, 0x33, 0x31, 0x1c,
0x39, 0xe3, 0x27, 0x6a, 0x95, 0xcf, 0xc5, 0xfb}},
{{0x30, 0xb2, 0x99, 0x84, 0xf0, 0x18, 0x2a, 0x6e,
0x1e, 0x27, 0xed, 0xa2, 0x29, 0x99, 0x41, 0x56,
0xe8, 0xd4, 0x0d, 0xef, 0x99, 0x9c, 0xf3, 0x58,
0x29, 0x55, 0x1a, 0xc0, 0x68, 0xd6, 0x74, 0xa4},
{0x07, 0x9c, 0xe7, 0xec, 0xf5, 0x36, 0x73, 0x41,
0xa3, 0x1c, 0xe5, 0x93, 0x97, 0x6a, 0xfd, 0xf7,
0x53, 0x18, 0xab, 0xaf, 0xeb, 0x85, 0xbd, 0x92,
0x90, 0xab, 0x3c, 0xbf, 0x30, 0x82, 0xad, 0xf6}},
{{0xc6, 0x87, 0x8a, 0x2a, 0xea, 0xc0, 0xa9, 0xec,
0x6d, 0xd3, 0xdc, 0x32, 0x23, 0xce, 0x62, 0x19,
0xa4, 0x7e, 0xa8, 0xdd, 0x1c, 0x33, 0xae, 0xd3,
0x4f, 0x62, 0x9f, 0x52, 0xe7, 0x65, 0x46, 0xf4},
{0x97, 0x51, 0x27, 0x67, 0x2d, 0xa2, 0x82, 0x87,
0x98, 0xd3, 0xb6, 0x14, 0x7f, 0x51, 0xd3, 0x9a,
0x0b, 0xd0, 0x76, 0x81, 0xb2, 0x4f, 0x58, 0x92,
0xa4, 0x86, 0xa1, 0xa7, 0x09, 0x1d, 0xef, 0x9b}},
{{0xb3, 0x0f, 0x2b, 0x69, 0x0d, 0x06, 0x90, 0x64,
0xbd, 0x43, 0x4c, 0x10, 0xe8, 0x98, 0x1c, 0xa3,
0xe1, 0x68, 0xe9, 0x79, 0x6c, 0x29, 0x51, 0x3f,
0x41, 0xdc, 0xdf, 0x1f, 0xf3, 0x60, 0xbe, 0x33},
{0xa1, 0x5f, 0xf7, 0x1d, 0xb4, 0x3e, 0x9b, 0x3c,
0xe7, 0xbd, 0xb6, 0x06, 0xd5, 0x60, 0x06, 0x6d,
0x50, 0xd2, 0xf4, 0x1a, 0x31, 0x08, 0xf2, 0xea,
0x8e, 0xef, 0x5f, 0x7d, 0xb6, 0xd0, 0xc0, 0x27}},
{{0x62, 0x9a, 0xd9, 0xbb, 0x38, 0x36, 0xce, 0xf7,
0x5d, 0x2f, 0x13, 0xec, 0xc8, 0x2d, 0x02, 0x8a,
0x2e, 0x72, 0xf0, 0xe5, 0x15, 0x9d, 0x72, 0xae,
0xfc, 0xb3, 0x4f, 0x02, 0xea, 0xe1, 0x09, 0xfe},
{0x00, 0x00, 0x00, 0x00, 0xfa, 0x0a, 0x3d, 0xbc,
0xad, 0x16, 0x0c, 0xb6, 0xe7, 0x7c, 0x8b, 0x39,
0x9a, 0x43, 0xbb, 0xe3, 0xc2, 0x55, 0x15, 0x14,
0x75, 0xac, 0x90, 0x9b, 0x7f, 0x9a, 0x92, 0x00}},
{{0x8b, 0xac, 0x70, 0x86, 0x29, 0x8f, 0x00, 0x23,
0x7b, 0x45, 0x30, 0xaa, 0xb8, 0x4c, 0xc7, 0x8d,
0x4e, 0x47, 0x85, 0xc6, 0x19, 0xe3, 0x96, 0xc2,
0x9a, 0xa0, 0x12, 0xed, 0x6f, 0xd7, 0x76, 0x16},
{0x45, 0xaf, 0x7e, 0x33, 0xc7, 0x7f, 0x10, 0x6c,
0x7c, 0x9f, 0x29, 0xc1, 0xa8, 0x7e, 0x15, 0x84,
0xe7, 0x7d, 0xc0, 0x6d, 0xab, 0x71, 0x5d, 0xd0,
0x6b, 0x9f, 0x97, 0xab, 0xcb, 0x51, 0x0c, 0x9f}},
{{0x9e, 0xc3, 0x92, 0xb4, 0x04, 0x9f, 0xc8, 0xbb,
0xdd, 0x9e, 0xc6, 0x05, 0xfd, 0x65, 0xec, 0x94,
0x7f, 0x2c, 0x16, 0xc4, 0x40, 0xac, 0x63, 0x7b,
0x7d, 0xb8, 0x0c, 0xe4, 0x5b, 0xe3, 0xa7, 0x0e},
{0x43, 0xf4, 0x44, 0xe8, 0xcc, 0xc8, 0xd4, 0x54,
0x33, 0x37, 0x50, 0xf2, 0x87, 0x42, 0x2e, 0x00,
0x49, 0x60, 0x62, 0x02, 0xfd, 0x1a, 0x7c, 0xdb,
0x29, 0x6c, 0x6d, 0x54, 0x53, 0x08, 0xd1, 0xc8}},
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}},
{{0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1,
0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0,
0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59,
0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92},
{0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1,
0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0,
0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59,
0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}},
{{0x28, 0x56, 0xac, 0x0e, 0x4f, 0x98, 0x09, 0xf0,
0x49, 0xfa, 0x7f, 0x84, 0xac, 0x7e, 0x50, 0x5b,
0x17, 0x43, 0x14, 0x89, 0x9c, 0x53, 0xa8, 0x94,
0x30, 0xf2, 0x11, 0x4d, 0x92, 0x14, 0x27, 0xe8},
{0x39, 0x7a, 0x84, 0x56, 0x79, 0x9d, 0xec, 0x26,
0x2c, 0x53, 0xc1, 0x94, 0xc9, 0x8d, 0x9e, 0x9d,
0x32, 0x1f, 0xdd, 0x84, 0x04, 0xe8, 0xe2, 0x0a,
0x6b, 0xbe, 0xbb, 0x42, 0x40, 0x67, 0x30, 0x6c}},
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
0x45, 0x51, 0x23, 0x19, 0x50, 0xb7, 0x5f, 0xc4,
0x40, 0x2d, 0xa1, 0x73, 0x2f, 0xc9, 0xbe, 0xbd},
{0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1,
0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0,
0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59,
0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}},
{{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b,
0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40},
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}},
{{0x1c, 0xc4, 0xf7, 0xda, 0x0f, 0x65, 0xca, 0x39,
0x70, 0x52, 0x92, 0x8e, 0xc3, 0xc8, 0x15, 0xea,
0x7f, 0x10, 0x9e, 0x77, 0x4b, 0x6e, 0x2d, 0xdf,
0xe8, 0x30, 0x9d, 0xda, 0xe8, 0x9a, 0x65, 0xae},
{0x02, 0xb0, 0x16, 0xb1, 0x1d, 0xc8, 0x57, 0x7b,
0xa2, 0x3a, 0xa2, 0xa3, 0x38, 0x5c, 0x8f, 0xeb,
0x66, 0x37, 0x91, 0xa8, 0x5f, 0xef, 0x04, 0xf6,
0x59, 0x75, 0xe1, 0xee, 0x92, 0xf6, 0x0e, 0x30}},
{{0x8d, 0x76, 0x14, 0xa4, 0x14, 0x06, 0x9f, 0x9a,
0xdf, 0x4a, 0x85, 0xa7, 0x6b, 0xbf, 0x29, 0x6f,
0xbc, 0x34, 0x87, 0x5d, 0xeb, 0xbb, 0x2e, 0xa9,
0xc9, 0x1f, 0x58, 0xd6, 0x9a, 0x82, 0xa0, 0x56},
{0xd4, 0xb9, 0xdb, 0x88, 0x1d, 0x04, 0xe9, 0x93,
0x8d, 0x3f, 0x20, 0xd5, 0x86, 0xa8, 0x83, 0x07,
0xdb, 0x09, 0xd8, 0x22, 0x1f, 0x7f, 0xf1, 0x71,
0xc8, 0xe7, 0x5d, 0x47, 0xaf, 0x8b, 0x72, 0xe9}},
{{0x83, 0xb9, 0x39, 0xb2, 0xa4, 0xdf, 0x46, 0x87,
0xc2, 0xb8, 0xf1, 0xe6, 0x4c, 0xd1, 0xe2, 0xa9,
0xe4, 0x70, 0x30, 0x34, 0xbc, 0x52, 0x7c, 0x55,
0xa6, 0xec, 0x80, 0xa4, 0xe5, 0xd2, 0xdc, 0x73},
{0x08, 0xf1, 0x03, 0xcf, 0x16, 0x73, 0xe8, 0x7d,
0xb6, 0x7e, 0x9b, 0xc0, 0xb4, 0xc2, 0xa5, 0x86,
0x02, 0x77, 0xd5, 0x27, 0x86, 0xa5, 0x15, 0xfb,
0xae, 0x9b, 0x8c, 0xa9, 0xf9, 0xf8, 0xa8, 0x4a}},
{{0x8b, 0x00, 0x49, 0xdb, 0xfa, 0xf0, 0x1b, 0xa2,
0xed, 0x8a, 0x9a, 0x7a, 0x36, 0x78, 0x4a, 0xc7,
0xf7, 0xad, 0x39, 0xd0, 0x6c, 0x65, 0x7a, 0x41,
0xce, 0xd6, 0xd6, 0x4c, 0x20, 0x21, 0x6b, 0xc7},
{0xc6, 0xca, 0x78, 0x1d, 0x32, 0x6c, 0x6c, 0x06,
0x91, 0xf2, 0x1a, 0xe8, 0x43, 0x16, 0xea, 0x04,
0x3c, 0x1f, 0x07, 0x85, 0xf7, 0x09, 0x22, 0x08,
0xba, 0x13, 0xfd, 0x78, 0x1e, 0x3f, 0x6f, 0x62}},
{{0x25, 0x9b, 0x7c, 0xb0, 0xac, 0x72, 0x6f, 0xb2,
0xe3, 0x53, 0x84, 0x7a, 0x1a, 0x9a, 0x98, 0x9b,
0x44, 0xd3, 0x59, 0xd0, 0x8e, 0x57, 0x41, 0x40,
0x78, 0xa7, 0x30, 0x2f, 0x4c, 0x9c, 0xb9, 0x68},
{0xb7, 0x75, 0x03, 0x63, 0x61, 0xc2, 0x48, 0x6e,
0x12, 0x3d, 0xbf, 0x4b, 0x27, 0xdf, 0xb1, 0x7a,
0xff, 0x4e, 0x31, 0x07, 0x83, 0xf4, 0x62, 0x5b,
0x19, 0xa5, 0xac, 0xa0, 0x32, 0x58, 0x0d, 0xa7}},
{{0x43, 0x4f, 0x10, 0xa4, 0xca, 0xdb, 0x38, 0x67,
0xfa, 0xae, 0x96, 0xb5, 0x6d, 0x97, 0xff, 0x1f,
0xb6, 0x83, 0x43, 0xd3, 0xa0, 0x2d, 0x70, 0x7a,
0x64, 0x05, 0x4c, 0xa7, 0xc1, 0xa5, 0x21, 0x51},
{0xe4, 0xf1, 0x23, 0x84, 0xe1, 0xb5, 0x9d, 0xf2,
0xb8, 0x73, 0x8b, 0x45, 0x2b, 0x35, 0x46, 0x38,
0x10, 0x2b, 0x50, 0xf8, 0x8b, 0x35, 0xcd, 0x34,
0xc8, 0x0e, 0xf6, 0xdb, 0x09, 0x35, 0xf0, 0xda}}
};
secp256k1_scalar_set_int(&one, 1);
for (i = 0; i < 32; i++) {
secp256k1_scalar_set_b32(&x, chal[i][0], &overflow);
CHECK(!overflow);
secp256k1_scalar_set_b32(&y, chal[i][1], &overflow);
CHECK(!overflow);
secp256k1_scalar_set_b32(&r1, res[i][0], &overflow);
CHECK(!overflow);
secp256k1_scalar_set_b32(&r2, res[i][1], &overflow);
CHECK(!overflow);
secp256k1_scalar_mul(&z, &x, &y);
CHECK(!secp256k1_scalar_check_overflow(&z));
CHECK(secp256k1_scalar_eq(&r1, &z));
if (!secp256k1_scalar_is_zero(&y)) {
secp256k1_scalar_inverse(&zz, &y);
CHECK(!secp256k1_scalar_check_overflow(&zz));
#if defined(USE_SCALAR_INV_NUM)
secp256k1_scalar_inverse_var(&zzv, &y);
CHECK(secp256k1_scalar_eq(&zzv, &zz));
#endif
secp256k1_scalar_mul(&z, &z, &zz);
CHECK(!secp256k1_scalar_check_overflow(&z));
CHECK(secp256k1_scalar_eq(&x, &z));
secp256k1_scalar_mul(&zz, &zz, &y);
CHECK(!secp256k1_scalar_check_overflow(&zz));
CHECK(secp256k1_scalar_eq(&one, &zz));
}
secp256k1_scalar_mul(&z, &x, &x);
CHECK(!secp256k1_scalar_check_overflow(&z));
secp256k1_scalar_sqr(&zz, &x);
CHECK(!secp256k1_scalar_check_overflow(&zz));
CHECK(secp256k1_scalar_eq(&zz, &z));
CHECK(secp256k1_scalar_eq(&r2, &zz));
}
}
}
/***** FIELD TESTS *****/

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