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// (C) 2015 Simon Warta (Kullo GmbH)
// Botan is released under the Simplified BSD License (see license.txt)
#include "catchy_tests.h"
#if defined(BOTAN_HAS_BIGINT)
#include <botan/bigint.h>
using namespace Botan;
TEST_CASE("Bigint basics", "[bigint]")
{
SECTION("in 0-bit border")
{
BigInt a(0u);
CHECK_THAT(a.bits(), Equals(0));
CHECK_THAT(a.bytes(), Equals(0));
CHECK_THAT(a.to_u32bit(), Equals(0));
}
SECTION("above 0-bit border")
{
BigInt a(1u);
CHECK_THAT(a.bits(), Equals(1));
CHECK_THAT(a.bytes(), Equals(1));
CHECK_THAT(a.to_u32bit(), Equals(1));
}
SECTION("in 8-bit border")
{
BigInt a(255u);
CHECK_THAT(a.bits(), Equals(8));
CHECK_THAT(a.bytes(), Equals(1));
CHECK_THAT(a.to_u32bit(), Equals(255));
}
SECTION("above 8-bit border")
{
BigInt a(256u);
CHECK_THAT(a.bits(), Equals(9));
CHECK_THAT(a.bytes(), Equals(2));
CHECK_THAT(a.to_u32bit(), Equals(256));
}
SECTION("in 16-bit border")
{
BigInt a(65535u);
CHECK_THAT(a.bits(), Equals(16));
CHECK_THAT(a.bytes(), Equals(2));
CHECK_THAT(a.to_u32bit(), Equals(65535));
}
SECTION("above 16-bit border")
{
BigInt a(65536u);
CHECK_THAT(a.bits(), Equals(17));
CHECK_THAT(a.bytes(), Equals(3));
CHECK_THAT(a.to_u32bit(), Equals(65536));
}
SECTION("in 32-bit border")
{
BigInt a(4294967295u);
CHECK_THAT(a.bits(), Equals(32));
CHECK_THAT(a.bytes(), Equals(4));
CHECK_THAT(a.to_u32bit(), Equals(4294967295u));
}
SECTION("above 32-bit border")
{
BigInt a(4294967296u);
CHECK_THAT(a.bits(), Equals(33));
CHECK_THAT(a.bytes(), Equals(5));
CHECK_THROWS( a.to_u32bit() );
}
}
TEST_CASE("Bigint random_integer", "[bigint]")
{
RandomNumberGenerator *rng = RandomNumberGenerator::make_rng();
SECTION("min is 0")
{
// 0–9
const size_t MIN = 0;
const size_t MAX = 10; // excluded
const int ITERATIONS = 10000;
std::vector<int> counts(MAX, 0);
std::vector<double> ratios(MAX, 1.0);
for (size_t i = 0; i < ITERATIONS; i++)
{
BigInt b = BigInt::random_integer(*rng, MIN, MAX);
size_t x = b.to_u32bit();
counts[x]++;
}
std::stringstream debug;
for (size_t d = MIN; d < MAX; ++d)
{
auto ratio = static_cast<double>(counts[d]) / ITERATIONS;
ratios[d] = ratio;
if (!debug.str().empty())
{
debug << ", ";
}
debug << d << ": " << std::setprecision(3) << ratio;
}
INFO( debug.str() )
// Have ~ 10 % on each digit from 0-9
CHECK(( 0.085 <= ratios[0] )); CHECK(( ratios[0] <= 0.115 ));
CHECK(( 0.085 <= ratios[1] )); CHECK(( ratios[1] <= 0.115 ));
CHECK(( 0.085 <= ratios[2] )); CHECK(( ratios[2] <= 0.115 ));
CHECK(( 0.085 <= ratios[3] )); CHECK(( ratios[3] <= 0.115 ));
CHECK(( 0.085 <= ratios[4] )); CHECK(( ratios[4] <= 0.115 ));
CHECK(( 0.085 <= ratios[5] )); CHECK(( ratios[5] <= 0.115 ));
CHECK(( 0.085 <= ratios[6] )); CHECK(( ratios[6] <= 0.115 ));
CHECK(( 0.085 <= ratios[7] )); CHECK(( ratios[7] <= 0.115 ));
CHECK(( 0.085 <= ratios[8] )); CHECK(( ratios[8] <= 0.115 ));
CHECK(( 0.085 <= ratios[9] )); CHECK(( ratios[9] <= 0.115 ));
//CHECK( false );
}
SECTION("min is 10")
{
// 10–19
const size_t MIN = 10;
const size_t MAX = 20; // excluded
const size_t ITERATIONS = 10000;
std::vector<int> counts(MAX, 0);
std::vector<double> ratios(MAX, 1.0);
for (size_t i = 0; i < ITERATIONS; i++)
{
BigInt b = BigInt::random_integer(*rng, MIN, MAX);
size_t x = b.to_u32bit();
counts[x]++;
}
std::stringstream debug;
for (size_t d = MIN; d < MAX; ++d)
{
auto ratio = static_cast<double>(counts[d]) / ITERATIONS;
ratios[d] = ratio;
if (!debug.str().empty())
{
debug << ", ";
}
debug << d << ": " << std::setprecision(3) << ratio;
}
INFO( debug.str() )
// Have ~ 10 % on each digit from 10-19
CHECK(( 0.085 <= ratios[10] )); CHECK(( ratios[10] <= 0.115 ));
CHECK(( 0.085 <= ratios[11] )); CHECK(( ratios[11] <= 0.115 ));
CHECK(( 0.085 <= ratios[12] )); CHECK(( ratios[12] <= 0.115 ));
CHECK(( 0.085 <= ratios[13] )); CHECK(( ratios[13] <= 0.115 ));
CHECK(( 0.085 <= ratios[14] )); CHECK(( ratios[14] <= 0.115 ));
CHECK(( 0.085 <= ratios[15] )); CHECK(( ratios[15] <= 0.115 ));
CHECK(( 0.085 <= ratios[16] )); CHECK(( ratios[16] <= 0.115 ));
CHECK(( 0.085 <= ratios[17] )); CHECK(( ratios[17] <= 0.115 ));
CHECK(( 0.085 <= ratios[18] )); CHECK(( ratios[18] <= 0.115 ));
CHECK(( 0.085 <= ratios[19] )); CHECK(( ratios[19] <= 0.115 ));
//CHECK( false );
}
}
#endif
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