test_float.cpp

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/**
 * @file test_float.cpp
 * Tests for floating point arithmetic.
 */

#include <unit_test.h>

#include <px4_platform_common/px4_config.h>

#include <float.h>
#include <math.h>

typedef union {
    float f;
    double d;
    uint8_t b[8];
} test_float_double_t;



class FloatTest : public UnitTest
{
public:
    virtual bool run_tests();

private:
    bool singlePrecisionTests();
    bool doublePrecisionTests();
};

bool FloatTest::singlePrecisionTests()
{
    float sinf_zero = sinf(0.0f);
    float sinf_one = sinf(1.0f);
    float sqrt_two = sqrtf(2.0f);

    ut_assert("sinf(0.0f) == 0.0f", fabsf(sinf_zero) < FLT_EPSILON);
    ut_assert("sinf(1.0f) == 0.84147f", fabsf((sinf_one - 0.841470956802368164062500000000f)) < FLT_EPSILON);

    float asinf_one = asinf(1.0f);
    ut_assert("asinf(1.0f) == 1.57079f", fabsf((asinf_one - 1.570796251296997070312500000000f)) < FLT_EPSILON * 1.5f);

    float cosf_one = cosf(1.0f);
    ut_assert("cosf(1.0f) == 0.54030f", fabsf((cosf_one - 0.540302336215972900390625000000f)) < FLT_EPSILON);

    float acosf_one = acosf(1.0f);
    ut_assert("acosf(1.0f) == 0.0f", fabsf((acosf_one - 0.000000000000000000000000000000f)) < FLT_EPSILON);

    float sinf_zero_one = sinf(0.1f);
    ut_assert("sinf(0.1f) == 0.09983f", fabsf(sinf_zero_one - 0.0998334166f) < FLT_EPSILON);

    ut_assert("sqrt(2.0f) == 1.41421f", fabsf(sqrt_two - 1.41421356f) < FLT_EPSILON);

    float atan2f_ones = atan2f(1.0f, 1.0f);
    ut_assert("atan2f(1.0f, 1.0f) == 0.78539f",
          fabsf(atan2f_ones - 0.785398163397448278999490867136f) < 2.0f * FLT_EPSILON);

    char sbuf[30];
    sprintf(sbuf, "%8.4f", (double)0.553415f);
    ut_compare("sbuf[0]", sbuf[0], ' ');
    ut_compare("sbuf[1]", sbuf[1], ' ');
    ut_compare("sbuf[2]", sbuf[2], '0');
    ut_compare("sbuf[3]", sbuf[3], '.');
    ut_compare("sbuf[4]", sbuf[4], '5');
    ut_compare("sbuf[5]", sbuf[5], '5');
    ut_compare("sbuf[6]", sbuf[6], '3');
    ut_compare("sbuf[7]", sbuf[7], '4');
    ut_compare("sbuf[8]", sbuf[8], '\0');

    sprintf(sbuf, "%8.4f", (double) - 0.553415f);
    ut_compare("sbuf[0]", sbuf[0], ' ');
    ut_compare("sbuf[1]", sbuf[1], '-');
    ut_compare("sbuf[2]", sbuf[2], '0');
    ut_compare("sbuf[3]", sbuf[3], '.');
    ut_compare("sbuf[4]", sbuf[4], '5');
    ut_compare("sbuf[5]", sbuf[5], '5');
    ut_compare("sbuf[6]", sbuf[6], '3');
    ut_compare("sbuf[7]", sbuf[7], '4');
    ut_compare("sbuf[8]", sbuf[8], '\0');

    return true;
}


bool FloatTest::doublePrecisionTests()
{
    float f1 = 1.55f;

    double d1 = 1.0111;
    double d2 = 2.0;

    double d1d2 = d1 * d2;

    ut_assert("1.0111 * 2.0 == 2.0222", fabs(d1d2 - 2.022200000000000219557705349871) < DBL_EPSILON);

    // Assign value of f1 to d1
    d1 = f1;

    ut_assert("(float) 1.55f == 1.55 (double)", fabsf(f1 - (float)d1) < FLT_EPSILON);


    double sin_zero = sin(0.0);
    double sin_one = sin(1.0);
    double atan2_ones = atan2(1.0, 1.0);

    ut_assert("sin(0.0) == 0.0", fabs(sin_zero - 0.0) < DBL_EPSILON);
    ut_assert("sin(1.0) == 0.84147098480", fabs(sin_one - 0.841470984807896504875657228695) < DBL_EPSILON);
    ut_assert("atan2(1.0, 1.0) == 0.785398", fabs(atan2_ones - 0.785398163397448278999490867136) < 2.0 * DBL_EPSILON);
    ut_assert("testing pow() with magic value",
          (44330.0 * (1.0 - pow((96286LL / 101325.0), 0.190295))) - 428.2293 <  DBL_EPSILON);


    char sbuf[30];
    sprintf(sbuf, "%8.4f", 0.553415);
    ut_compare("sbuf[0]", sbuf[0], ' ');
    ut_compare("sbuf[1]", sbuf[1], ' ');
    ut_compare("sbuf[2]", sbuf[2], '0');
    ut_compare("sbuf[3]", sbuf[3], '.');
    ut_compare("sbuf[4]", sbuf[4], '5');
    ut_compare("sbuf[5]", sbuf[5], '5');
    ut_compare("sbuf[6]", sbuf[6], '3');
    ut_compare("sbuf[7]", sbuf[7], '4');
    ut_compare("sbuf[8]", sbuf[8], '\0');


    sprintf(sbuf, "%8.4f", -0.553415);
    ut_compare("sbuf[0]", sbuf[0], ' ');
    ut_compare("sbuf[1]", sbuf[1], '-');
    ut_compare("sbuf[2]", sbuf[2], '0');
    ut_compare("sbuf[3]", sbuf[3], '.');
    ut_compare("sbuf[4]", sbuf[4], '5');
    ut_compare("sbuf[5]", sbuf[5], '5');
    ut_compare("sbuf[6]", sbuf[6], '3');
    ut_compare("sbuf[7]", sbuf[7], '4');
    ut_compare("sbuf[8]", sbuf[8], '\0');

    return true;
}

bool FloatTest::run_tests()
{
    ut_run_test(singlePrecisionTests);
    ut_run_test(doublePrecisionTests);

    return (_tests_failed == 0);
}

ut_declare_test_c(test_float, FloatTest)