#ifdef TEST #include "unity.h" #include "addition.h" num carry[1]; unsigned int e = 0x00800000; union { float floating; unsigned int integer; } number[6]; union { double dnum; unsigned long long lnum; } numberd[6]; void setUp(void) { } void tearDown(void) { } void test_addition_full_adder_nullplusnullgleichnull(void) { num result[1]; num expected = 0; full_adder(result, carry, 0, 0, 0); TEST_ASSERT_EQUAL_UINT(expected, result[0]); } void test_addition_full_adder_nullplusnullgleichnullmituebertrag(void) { num result[1]; num expected = 1; full_adder(result, carry, 0, 0, 1); TEST_ASSERT_EQUAL_UINT(expected, result[0]); } void test_addition_full_adder_zahlpluszahlgleichsummeohneuebertrag(void) { num result[5]; num expected[5] = { 0, 1, 1, 1, 1}; full_adder((result+0), carry, 1, 0, 1); full_adder((result+1), carry, 0, 1, 0); full_adder((result+2), carry, 1, 0, 0); full_adder((result+3), carry, 0, 0, 1); full_adder((result+4), carry, 1, 1, 1); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT(expected[4], result[4]); } void test_addition_full_adder_completesumwithcarry(void) { num result[5], carryresult[5]; num expected[5] = { 0, 0, 1, 1, 0}, expectedcarry[5] = { 1, 1, 1, 0, 0}; full_adder(result+0, carryresult+0, 0, 1, 1); full_adder(result+1, carryresult+1, 1, 1, 0); full_adder(result+2, carryresult+2, 1, 1, 1); full_adder(result+3, carryresult+3, 0, 1, 0); full_adder(result+4, carryresult+4, 0, 0, 0); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT(expected[4], result[4]); TEST_ASSERT_EQUAL_UINT(expectedcarry[0], carryresult[0]); TEST_ASSERT_EQUAL_UINT(expectedcarry[1], carryresult[1]); TEST_ASSERT_EQUAL_UINT(expectedcarry[2], carryresult[2]); TEST_ASSERT_EQUAL_UINT(expectedcarry[3], carryresult[3]); TEST_ASSERT_EQUAL_UINT(expectedcarry[4], carryresult[4]); } void test_addition_addition_uint_basecasezeropluszeroequalzero(void) { unsigned int result; unsigned int expected = 0; result = addition_uint(0, 0); TEST_ASSERT_EQUAL_UINT(expected, result); } void test_addition_addition_uint_basecaseonescolumns(void) { unsigned int result[2]; unsigned int expected[2] = { 1, 1 }; result[0] = addition_uint(1, 0); result[1] = addition_uint(0, 1); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); } void test_addition_addition_uint_basecasetotenscolumns(void) { unsigned int result[5]; unsigned int expected[5] = { 3, 3, 2, 3, 3 }; result[0] = addition_uint(0, 3); result[1] = addition_uint(1, 2); result[2] = addition_uint(1, 1); result[3] = addition_uint(2, 1); result[4] = addition_uint(3, 0); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT(expected[4], result[4]); } void test_addition_addition_uint_allunsignedinteger(void) { unsigned int result[5]; unsigned int expected[5] = { 88879736, __UINT32_MAX__, 66558, __UINT32_MAX__, 477905879 }; result[0] = addition_uint(13456275, 75423461); result[1] = addition_uint(4294967294, 1); result[2] = addition_uint(1023, 65535); result[3] = addition_uint(0, 4294967295); result[4] = addition_uint(54321567,423584312); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT(expected[4], result[4]); } void test_addition_sign_floatingnumber(void) { unsigned int result[2]; unsigned int expected[2] = { 0, 1 }; number[0].floating = 1, number[1].floating = -1; result[0] = sign_float(number[0].integer); result[1] = sign_float(number[1].integer); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); } void test_addition_precision_floatingnumber(void) { unsigned int result[5]; number[0].floating = 0, number[1].floating = -34753168, number[2].floating = 75613594, number[3].floating = -0.00000044568721, number[4].floating = 0.0000004796123; unsigned int expected[5] = { ( number[0].integer << 9) >> 9 , ( number[1].integer << 9) >> 9, ( number[2].integer << 9) >> 9, ( number[3].integer << 9) >> 9, ( number[4].integer << 9) >> 9}; result[0] = precision_float( number[0].integer ); result[1] = precision_float( number[1].integer ); result[2] = precision_float( number[2].integer ); result[3] = precision_float( number[3].integer ); result[4] = precision_float( number[4].integer ); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT(expected[4], result[4]); } void test_addition_exponent_floatingnumber(void) { unsigned int result[5]; number[0].floating = 0, number[1].floating = -762134982, number[2].floating = 47621349, number[3].floating = -0.0000078961354, number[4].floating = 0.00001568943; unsigned int expected[5] = { ( number[0].integer << 1) >> 24 , ( number[1].integer << 1) >> 24, ( number[2].integer << 1) >> 24, ( number[3].integer << 1) >> 24, ( number[4].integer << 1) >> 24}; result[0] = exponent_float( number[0].integer ); result[1] = exponent_float( number[1].integer ); result[2] = exponent_float( number[2].integer ); result[3] = exponent_float( number[3].integer ); result[4] = exponent_float( number[4].integer ); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT(expected[4], result[4]); } void test_addition_addition_precision_float_positivnumberlowerthan2tothepowerof24(void) { unsigned int result[2]; number[0].floating = 652468761.2348, number[1].floating = 2.675312546943, number[2].floating = 321647956212.2146, number[3].floating = 0.00000324567861, number[4].floating = number[0].floating + number[1].floating; number[5].floating = number[2].floating + number[3].floating; unsigned int expected[2] = { precision_float(number[4].integer), precision_float(number[5].integer) }; unsigned int e0, e1, e2, e3, p0, p1, p2, p3; e0 = exponent_float(number[0].integer), e1 = exponent_float(number[1].integer), e2 = exponent_float(number[2].integer), e3 = exponent_float(number[3].integer); p0 = precision_float(number[0].integer) | e, p1 = precision_float(number[1].integer) | e, p2 = precision_float(number[2].integer) | e, p3 = precision_float(number[3].integer) | e; p1 >>= e0 - e1, p3 >>= e2 - e3; result[0] = addition_precision_float( p0, p1 ) ^ e; result[1] = addition_precision_float( p2, p3 ) ^ e; TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); } void test_addition_output_float_numberwithsignexponentprecision(void) { unsigned int result[5]; number[0].floating = 1468921, number[1].floating = -32468127698, number[2].floating = 0.000000795311468, number[3].floating = -0.00000843214521, number[4].floating = 14; unsigned int expected[5] = { number[0].integer, number[1].integer, number[2].integer, number[3].integer, number[4].integer }; unsigned int s0, s1, s2, s3, s4, e0, e1, e2, e3, e4, p0, p1, p2, p3, p4; s0 = sign_float(number[0].integer), s1 = sign_float(number[1].integer), s2 = sign_float(number[2].integer), s3 = sign_float(number[3].integer), s4 = sign_float(number[4].integer); e0 = exponent_float(number[0].integer), e1 = exponent_float(number[1].integer), e2 = exponent_float(number[2].integer), e3 = exponent_float(number[3].integer), e4 = exponent_float(number[4].integer); p0 = precision_float(number[0].integer), p1 = precision_float(number[1].integer), p2 = precision_float(number[2].integer), p3 = precision_float(number[3].integer), p4 = precision_float(number[4].integer); result[0] = output_float(s0, e0, p0); result[1] = output_float(s1, e1, p1); result[2] = output_float(s2, e2, p2); result[3] = output_float(s3, e3, p3); result[4] = output_float(s4, e4, p4); TEST_ASSERT_EQUAL_UINT(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT(expected[4], result[4]); } void test_addition_addition_float_0plus0gleich0(void) { float result; float expected = (float) 0.0; result = addition_float( (float) 0.0, (float) 0.0); TEST_ASSERT_EQUAL_FLOAT(expected, result); } void test_addition_addition_float_0plusnumbergleichnumber(void) { float result[5]; number[0].floating = 45672.56487, number[1].floating = -9531145672.467, number[2].floating = 91357634, number[3].floating = -0.0000000079533144, number[4].floating = 0.0756215698; float expected[5] = { number[0].floating, number[1].floating, number[2].floating, number[3].floating, number[4].floating }; result[0] = addition_float(number[0].floating, (float) 0.0); result[1] = addition_float((float) 0.0, number[1].floating); result[2] = addition_float(number[2].floating, (float) 0.0); result[3] = addition_float((float) 0.0, number[3].floating); result[4] = addition_float((float) 0.0, number[4].floating); TEST_ASSERT_EQUAL_FLOAT(expected[0], result[0]); TEST_ASSERT_EQUAL_FLOAT(expected[1], result[1]); TEST_ASSERT_EQUAL_FLOAT(expected[2], result[2]); TEST_ASSERT_EQUAL_FLOAT(expected[3], result[3]); TEST_ASSERT_EQUAL_FLOAT(expected[4], result[4]); } void test_addition_addition_float_sumofpositivnumbers(void) { float result[3]; number[0].floating = 31972543.42176, number[1].floating = 423576.006432054, number[2].floating = 1346.4546124016, number[3].floating = 75620056402.5431, number[4].floating = 0.5351401453104, number[5].floating = 0.469178612; float expected[3] = { number[0].floating + number[1].floating, number[2].floating + number[3].floating, number[4].floating + number[5].floating }; result[0] = addition_float(number[0].floating, number[1].floating); result[1] = addition_float(number[2].floating, number[3].floating); result[2] = addition_float(number[4].floating, number[5].floating); TEST_ASSERT_EQUAL_FLOAT(expected[0], result[0]); TEST_ASSERT_EQUAL_FLOAT(expected[1], result[1]); TEST_ASSERT_EQUAL_FLOAT(expected[2], result[2]); } void test_addition_sign_double_numbers(void) { unsigned long long result[2]; unsigned long long expected[2] = { 1, 0 }; numberd[0].dnum = -3004683105640520235, numberd[1].dnum = 0.05313546453135; result[0] = sign_double(numberd[0].lnum); result[1] = sign_double(numberd[1].lnum); TEST_ASSERT_EQUAL_UINT64(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT64(expected[1], result[1]); } void test_addition_precision_double_numbers(void) { unsigned long long result[5]; numberd[0].dnum = 3216752.2348648931012, numberd[1].dnum = -79865431546, numberd[2].dnum = 203, numberd[3].dnum = -0.00460023540056432002, numberd[4].dnum = 0.000000000791340265431213; unsigned long long expected[5] = { (numberd[0].lnum << 12) >> 12 , (numberd[1].lnum << 12) >> 12, (numberd[2].lnum << 12) >> 12, (numberd[3].lnum << 12) >> 12, (numberd[4].lnum << 12) >> 12}; result[0] = precision_double( numberd[0].lnum ); result[1] = precision_double( numberd[1].lnum ); result[2] = precision_double( numberd[2].lnum ); result[3] = precision_double( numberd[3].lnum ); result[4] = precision_double( numberd[4].lnum ); TEST_ASSERT_EQUAL_UINT64(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT64(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT64(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT64(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT64(expected[4], result[4]); } void test_addition_exponent_double_numbers(void) { unsigned long long result[5]; numberd[0].dnum = 830046503435461000, numberd[1].dnum = -906056810308432, numberd[2].dnum = 0.5315020335035034357, numberd[3].dnum = -34, numberd[4].dnum = 94315454312021310; unsigned long long expected[5] = { (numberd[0].lnum << 1) >> 53 , (numberd[1].lnum << 1) >> 53, (numberd[2].lnum << 1) >> 53, (numberd[3].lnum << 1) >> 53, (numberd[4].lnum << 1) >> 53}; result[0] = exponent_double( numberd[0].lnum ); result[1] = exponent_double( numberd[1].lnum ); result[2] = exponent_double( numberd[2].lnum ); result[3] = exponent_double( numberd[3].lnum ); result[4] = exponent_double( numberd[4].lnum ); TEST_ASSERT_EQUAL_UINT64(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT64(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT64(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT64(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT64(expected[4], result[4]); } void test_addition_output_double_numberwithsignexponentprecision(void) { unsigned long long result[5]; numberd[0].dnum = 7, numberd[1].dnum = -0.0000000006432154846123454, numberd[2].dnum = 731202035312050934, numberd[3].dnum = 0.0000009341213541974341, numberd[4].dnum = -9443345434194197313103.1136; unsigned long long expected[5] = { numberd[0].lnum, numberd[1].lnum, numberd[2].lnum, numberd[3].lnum, numberd[4].lnum }; unsigned long long s0, s1, s2, s3, s4, e0, e1, e2, e3, e4, p0, p1, p2, p3, p4; s0 = sign_double(numberd[0].lnum), s1 = sign_double(numberd[1].lnum), s2 = sign_double(numberd[2].lnum), s3 = sign_double(numberd[3].lnum), s4 = sign_double(numberd[4].lnum); e0 = exponent_double(numberd[0].lnum), e1 = exponent_double(numberd[1].lnum), e2 = exponent_double(numberd[2].lnum), e3 = exponent_double(numberd[3].lnum), e4 = exponent_double(numberd[4].lnum); p0 = precision_double(numberd[0].lnum), p1 = precision_double(numberd[1].lnum), p2 = precision_double(numberd[2].lnum), p3 = precision_double(numberd[3].lnum), p4 = precision_double(numberd[4].lnum); result[0] = output_double(s0, e0, p0); result[1] = output_double(s1, e1, p1); result[2] = output_double(s2, e2, p2); result[3] = output_double(s3, e3, p3); result[4] = output_double(s4, e4, p4); TEST_ASSERT_EQUAL_UINT64(expected[0], result[0]); TEST_ASSERT_EQUAL_UINT64(expected[1], result[1]); TEST_ASSERT_EQUAL_UINT64(expected[2], result[2]); TEST_ASSERT_EQUAL_UINT64(expected[3], result[3]); TEST_ASSERT_EQUAL_UINT64(expected[4], result[4]); } #endif // TEST