import math.fractions // (Old) results are verified using https://www.calculatorsoup.com/calculators/math/fractions.php // Newer ones are contrived for corner cases or prepared by hand. fn test_4_by_8_f64_and_str() { f := fractions.fraction(4, 8) assert f.f64() == 0.5 assert f.str() == '4/8' } fn test_10_by_5_f64_and_str() { f := fractions.fraction(10, 5) assert f.f64() == 2.0 assert f.str() == '10/5' } fn test_9_by_3_f64_and_str() { f := fractions.fraction(9, 3) assert f.f64() == 3.0 assert f.str() == '9/3' } fn test_4_by_minus_5_f64_and_str() { f := fractions.fraction(4, -5) assert f.f64() == -0.8 assert f.str() == '-4/5' } fn test_minus_7_by_minus_92_str() { f := fractions.fraction(-7, -5) assert f.str() == '7/5' } fn test_4_by_8_plus_5_by_10() { f1 := fractions.fraction(4, 8) f2 := fractions.fraction(5, 10) sum := f1 + f2 assert sum.f64() == 1.0 assert sum.str() == '1/1' assert sum.equals(fractions.fraction(1, 1)) } fn test_5_by_5_plus_8_by_8() { f1 := fractions.fraction(5, 5) f2 := fractions.fraction(8, 8) sum := f1 + f2 assert sum.f64() == 2.0 assert sum.str() == '2/1' assert sum.equals(fractions.fraction(2, 1)) } fn test_9_by_3_plus_1_by_3() { f1 := fractions.fraction(9, 3) f2 := fractions.fraction(1, 3) sum := f1 + f2 assert sum.str() == '10/3' assert sum.equals(fractions.fraction(10, 3)) } fn test_3_by_7_plus_1_by_4() { f1 := fractions.fraction(3, 7) f2 := fractions.fraction(1, 4) sum := f1 + f2 assert sum.str() == '19/28' assert sum.equals(fractions.fraction(19, 28)) } fn test_36529_by_12409100000_plus_418754901_by_9174901000() { f1 := fractions.fraction(i64(36529), i64(12409100000)) f2 := fractions.fraction(i64(418754901), i64(9174901000)) sum := f1 + f2 assert sum.str() == '5196706591957729/113852263999100000' } fn test_4_by_8_plus_minus_5_by_10() { f1 := fractions.fraction(4, 8) f2 := fractions.fraction(-5, 10) diff := f2 + f1 assert diff.f64() == 0 assert diff.str() == '0/1' } fn test_4_by_8_minus_5_by_10() { f1 := fractions.fraction(4, 8) f2 := fractions.fraction(5, 10) diff := f2 - f1 assert diff.f64() == 0 assert diff.str() == '0/1' } fn test_5_by_5_minus_8_by_8() { f1 := fractions.fraction(5, 5) f2 := fractions.fraction(8, 8) diff := f2 - f1 assert diff.f64() == 0 assert diff.str() == '0/1' } fn test_9_by_3_minus_1_by_3() { f1 := fractions.fraction(9, 3) f2 := fractions.fraction(1, 3) diff := f1 - f2 assert diff.str() == '8/3' } fn test_3_by_7_minus_1_by_4() { f1 := fractions.fraction(3, 7) f2 := fractions.fraction(1, 4) diff := f1 - f2 assert diff.str() == '5/28' } fn test_36529_by_12409100000_minus_418754901_by_9174901000() { f1 := fractions.fraction(i64(36529), i64(12409100000)) f2 := fractions.fraction(i64(418754901), i64(9174901000)) sum := f1 - f2 assert sum.str() == '-5196036292040471/113852263999100000' } fn test_4_by_8_times_5_by_10() { f1 := fractions.fraction(4, 8) f2 := fractions.fraction(5, 10) product := f1 * f2 assert product.f64() == 0.25 assert product.str() == '1/4' } fn test_5_by_5_times_8_by_8() { f1 := fractions.fraction(5, 5) f2 := fractions.fraction(8, 8) product := f1 * f2 assert product.f64() == 1.0 assert product.str() == '1/1' } fn test_9_by_3_times_1_by_3() { f1 := fractions.fraction(9, 3) f2 := fractions.fraction(1, 3) product := f1 * f2 assert product.f64() == 1.0 assert product.str() == '1/1' } fn test_3_by_7_times_1_by_4() { f1 := fractions.fraction(3, 7) f2 := fractions.fraction(1, 4) product := f2 * f1 assert product.f64() == (3.0 / 28.0) assert product.str() == '3/28' } fn test_4_by_8_over_5_by_10() { f1 := fractions.fraction(4, 8) f2 := fractions.fraction(5, 10) q := f1 / f2 assert q.f64() == 1.0 assert q.str() == '1/1' } fn test_5_by_5_over_8_by_8() { f1 := fractions.fraction(5, 5) f2 := fractions.fraction(8, 8) q := f1 / f2 assert q.f64() == 1.0 assert q.str() == '1/1' } fn test_9_by_3_over_1_by_3() { f1 := fractions.fraction(9, 3) f2 := fractions.fraction(1, 3) q := f1 / f2 assert q.f64() == 9.0 assert q.str() == '9/1' } fn test_3_by_7_over_1_by_4() { f1 := fractions.fraction(3, 7) f2 := fractions.fraction(1, 4) q := f1 / f2 assert q.str() == '12/7' } fn test_reciprocal_4_by_8() { f := fractions.fraction(4, 8) assert f.reciprocal().str() == '8/4' } fn test_reciprocal_5_by_10() { f := fractions.fraction(5, 10) assert f.reciprocal().str() == '10/5' } fn test_reciprocal_5_by_5() { f := fractions.fraction(5, 5) assert f.reciprocal().str() == '5/5' } fn test_reciprocal_8_by_8() { f := fractions.fraction(8, 8) assert f.reciprocal().str() == '8/8' } fn test_reciprocal_9_by_3() { f := fractions.fraction(9, 3) assert f.reciprocal().str() == '3/9' } fn test_reciprocal_1_by_3() { f := fractions.fraction(1, 3) assert f.reciprocal().str() == '3/1' } fn test_reciprocal_7_by_3() { f := fractions.fraction(7, 3) assert f.reciprocal().str() == '3/7' } fn test_reciprocal_1_by_4() { f := fractions.fraction(1, 4) assert f.reciprocal().str() == '4/1' } fn test_4_by_8_equals_5_by_10() { f1 := fractions.fraction(4, 8) f2 := fractions.fraction(5, 10) assert f1.equals(f2) } fn test_1_by_2_does_not_equal_3_by_4() { f1 := fractions.fraction(1, 2) f2 := fractions.fraction(3, 4) assert !f1.equals(f2) } fn test_reduce_3_by_9() { f := fractions.fraction(3, 9) assert f.reduce().equals(fractions.fraction(1, 3)) } fn test_1_by_3_less_than_2_by_4() { f1 := fractions.fraction(1, 3) f2 := fractions.fraction(2, 4) assert f1.lt(f2) assert f1.le(f2) } fn test_2_by_3_greater_than_2_by_4() { f1 := fractions.fraction(2, 3) f2 := fractions.fraction(2, 4) assert f1.gt(f2) assert f1.ge(f2) } fn test_5_by_7_not_less_than_2_by_4() { f1 := fractions.fraction(5, 7) f2 := fractions.fraction(2, 4) assert !f1.lt(f2) assert !f1.le(f2) } fn test_49_by_75_not_greater_than_2_by_3() { f1 := fractions.fraction(49, 75) f2 := fractions.fraction(2, 3) assert !f1.gt(f2) assert !f1.ge(f2) }