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#include "common.hpp"
#include <fpm/math.hpp>
TEST(basic_math, abs)
{
using P = fpm::fixed_24_8;
EXPECT_EQ(P(13.125), abs(P(-13.125)));
EXPECT_EQ(P(13.125), abs(P(13.125)));
EXPECT_EQ(P(1), abs(P(-1)));
EXPECT_EQ(P(1), abs(P(1)));
}
TEST(basic_math, fmod)
{
using P = fpm::fixed_24_8;
EXPECT_EQ(P( 1.5), fmod(P( 9.5), P( 2)));
EXPECT_EQ(P(-1.5), fmod(P(-9.5), P( 2)));
EXPECT_EQ(P( 1.5), fmod(P( 9.5), P(-2)));
EXPECT_EQ(P(-1.5), fmod(P(-9.5), P(-2)));
}
TEST(basic_math, remainder)
{
using P = fpm::fixed_24_8;
EXPECT_EQ(P(-0.5), remainder(P( 9.5), P( 2)));
EXPECT_EQ(P( 0.5), remainder(P(-9.5), P( 2)));
EXPECT_EQ(P(-0.5), remainder(P( 9.5), P(-2)));
EXPECT_EQ(P( 0.5), remainder(P(-9.5), P(-2)));
EXPECT_EQ(P( 1), remainder(P( 9), P( 2)));
EXPECT_EQ(P(-1), remainder(P(-9), P( 2)));
EXPECT_EQ(P( 1), remainder(P( 9), P(-2)));
EXPECT_EQ(P(-1), remainder(P(-9), P(-2)));
EXPECT_EQ(P(-1), remainder(P( 11), P( 2)));
EXPECT_EQ(P( 1), remainder(P(-11), P( 2)));
EXPECT_EQ(P(-1), remainder(P( 11), P(-2)));
EXPECT_EQ(P( 1), remainder(P(-11), P(-2)));
EXPECT_EQ(P(-0.9), remainder(P( 5.1), P( 3)));
EXPECT_EQ(P( 0.9), remainder(P(-5.1), P( 3)));
EXPECT_EQ(P(-0.9), remainder(P( 5.1), P(-3)));
EXPECT_EQ(P( 0.9), remainder(P(-5.1), P(-3)));
EXPECT_EQ(P(0), remainder(P(0), P(1)));
}
TEST(basic_math, remquo)
{
// remquo must return at least 3 bits of quotient
constexpr int QUO_MIN_SIZE = 1 << 3;
using P = fpm::fixed_16_16;
int quo = 999999;
EXPECT_EQ(P( 1.5), remquo(P( 9.5), P( 2), &quo));
EXPECT_EQ( 4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-1.5), remquo(P(-9.5), P( 2), &quo));
EXPECT_EQ(-4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 1.5), remquo(P( 9.5), P(-2), &quo));
EXPECT_EQ(-4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-1.5), remquo(P(-9.5), P(-2), &quo));
EXPECT_EQ( 4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 1), remquo(P( 9), P( 2), &quo));
EXPECT_EQ( 4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-1), remquo(P(-9), P( 2), &quo));
EXPECT_EQ(-4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 1), remquo(P( 9), P(-2), &quo));
EXPECT_EQ(-4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-1), remquo(P(-9), P(-2), &quo));
EXPECT_EQ( 4, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 1), remquo(P( 11), P( 2), &quo));
EXPECT_EQ( 5, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-1), remquo(P(-11), P( 2), &quo));
EXPECT_EQ(-5, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 1), remquo(P( 11), P(-2), &quo));
EXPECT_EQ(-5, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-1), remquo(P(-11), P(-2), &quo));
EXPECT_EQ( 5, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 2.1), remquo(P( 5.1), P( 3), &quo));
EXPECT_EQ( 1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-2.1), remquo(P(-5.1), P( 3), &quo));
EXPECT_EQ(-1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 2.1), remquo(P( 5.1), P(-3), &quo));
EXPECT_EQ(-1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-2.1), remquo(P(-5.1), P(-3), &quo));
EXPECT_EQ( 1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 3.375), remquo(P( 97.125), P( 3.75), &quo));
EXPECT_EQ( 1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-3.375), remquo(P(-97.125), P( 3.75), &quo));
EXPECT_EQ(-1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P( 3.375), remquo(P( 97.125), P(-3.75), &quo));
EXPECT_EQ(-1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(-3.375), remquo(P(-97.125), P(-3.75), &quo));
EXPECT_EQ( 1, quo % QUO_MIN_SIZE);
EXPECT_EQ(P(0), remquo(P(0), P(1), &quo));
EXPECT_EQ(0, quo % QUO_MIN_SIZE);
}
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