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| 1 | +namespace FsMath.Tests.GenericMath |
| 2 | + |
| 3 | +open System |
| 4 | +open Xunit |
| 5 | +open FsMath |
| 6 | +open FsMath.GenericMath |
| 7 | +open FsMath.Tests.AssertHelpers |
| 8 | + |
| 9 | +module GenericMathTests = |
| 10 | + |
| 11 | + [<Fact>] |
| 12 | + let ``zero: returns correct zero for float`` () = |
| 13 | + let result = zero<float> |
| 14 | + Assert.Equal(0.0, result) |
| 15 | + |
| 16 | + [<Fact>] |
| 17 | + let ``zero: returns correct zero for int`` () = |
| 18 | + let result = zero<int> |
| 19 | + Assert.Equal(0, result) |
| 20 | + |
| 21 | + [<Fact>] |
| 22 | + let ``one: returns correct one for float`` () = |
| 23 | + let result = one<float> |
| 24 | + Assert.Equal(1.0, result) |
| 25 | + |
| 26 | + [<Fact>] |
| 27 | + let ``one: returns correct one for int`` () = |
| 28 | + let result = one<int> |
| 29 | + Assert.Equal(1, result) |
| 30 | + |
| 31 | + [<Fact>] |
| 32 | + let ``T: converts float to float`` () = |
| 33 | + let result = T<float> 3.14 |
| 34 | + floatEqual 3.14 result 1e-10 |
| 35 | + |
| 36 | + [<Fact>] |
| 37 | + let ``T: converts float to int`` () = |
| 38 | + let result = T<int> 42.0 |
| 39 | + Assert.Equal(42, result) |
| 40 | + |
| 41 | + [<Fact>] |
| 42 | + let ``sqrt: computes square root of float`` () = |
| 43 | + let result = sqrt<float> 16.0 |
| 44 | + floatEqual 4.0 result 1e-10 |
| 45 | + |
| 46 | + [<Fact>] |
| 47 | + let ``sqrt: computes square root of 2.0`` () = |
| 48 | + let result = sqrt<float> 2.0 |
| 49 | + floatEqual 1.4142135623730951 result 1e-10 |
| 50 | + |
| 51 | + [<Fact>] |
| 52 | + let ``exp: computes e^x for float`` () = |
| 53 | + let result = exp<float> 1.0 |
| 54 | + floatEqual Math.E result 1e-10 |
| 55 | + |
| 56 | + [<Fact>] |
| 57 | + let ``exp: computes e^0`` () = |
| 58 | + let result = exp<float> 0.0 |
| 59 | + floatEqual 1.0 result 1e-10 |
| 60 | + |
| 61 | + [<Fact>] |
| 62 | + let ``exp: computes e^2`` () = |
| 63 | + let result = exp<float> 2.0 |
| 64 | + floatEqual 7.38905609893065 result 1e-10 |
| 65 | + |
| 66 | + [<Fact>] |
| 67 | + let ``pow: computes 2^3`` () = |
| 68 | + let result = pow<float> 2.0 3.0 |
| 69 | + floatEqual 8.0 result 1e-10 |
| 70 | + |
| 71 | + [<Fact>] |
| 72 | + let ``pow: computes 10^2`` () = |
| 73 | + let result = pow<float> 10.0 2.0 |
| 74 | + floatEqual 100.0 result 1e-10 |
| 75 | + |
| 76 | + [<Fact>] |
| 77 | + let ``pow: computes 5^0`` () = |
| 78 | + let result = pow<float> 5.0 0.0 |
| 79 | + floatEqual 1.0 result 1e-10 |
| 80 | + |
| 81 | + [<Fact>] |
| 82 | + let ``log: computes natural log of e`` () = |
| 83 | + let result = log<float> Math.E |
| 84 | + floatEqual 1.0 result 1e-10 |
| 85 | + |
| 86 | + [<Fact>] |
| 87 | + let ``log: computes natural log of 1`` () = |
| 88 | + let result = log<float> 1.0 |
| 89 | + floatEqual 0.0 result 1e-10 |
| 90 | + |
| 91 | + [<Fact>] |
| 92 | + let ``log: computes natural log of 10`` () = |
| 93 | + let result = log<float> 10.0 |
| 94 | + floatEqual 2.302585092994046 result 1e-10 |
| 95 | + |
| 96 | + [<Fact>] |
| 97 | + let ``abs: returns absolute value of positive number`` () = |
| 98 | + let result = abs<float> 5.5 |
| 99 | + floatEqual 5.5 result 1e-10 |
| 100 | + |
| 101 | + [<Fact>] |
| 102 | + let ``abs: returns absolute value of negative number`` () = |
| 103 | + let result = abs<float> -5.5 |
| 104 | + floatEqual 5.5 result 1e-10 |
| 105 | + |
| 106 | + [<Fact>] |
| 107 | + let ``abs: returns zero for zero`` () = |
| 108 | + let result = abs<float> 0.0 |
| 109 | + floatEqual 0.0 result 1e-10 |
| 110 | + |
| 111 | + [<Fact>] |
| 112 | + let ``abs: works with integers`` () = |
| 113 | + let result = abs<int> -42 |
| 114 | + Assert.Equal(42, result) |
| 115 | + |
| 116 | + [<Fact>] |
| 117 | + let ``sin: computes sine of 0`` () = |
| 118 | + let result = sin<float> 0.0 |
| 119 | + floatEqual 0.0 result 1e-10 |
| 120 | + |
| 121 | + [<Fact>] |
| 122 | + let ``sin: computes sine of pi/2`` () = |
| 123 | + let result = sin<float> (Math.PI / 2.0) |
| 124 | + floatEqual 1.0 result 1e-10 |
| 125 | + |
| 126 | + [<Fact>] |
| 127 | + let ``sin: computes sine of pi`` () = |
| 128 | + let result = sin<float> Math.PI |
| 129 | + floatEqual 0.0 result 1e-10 |
| 130 | + |
| 131 | + [<Fact>] |
| 132 | + let ``cos: computes cosine of 0`` () = |
| 133 | + let result = cos<float> 0.0 |
| 134 | + floatEqual 1.0 result 1e-10 |
| 135 | + |
| 136 | + [<Fact>] |
| 137 | + let ``cos: computes cosine of pi`` () = |
| 138 | + let result = cos<float> Math.PI |
| 139 | + floatEqual -1.0 result 1e-10 |
| 140 | + |
| 141 | + [<Fact>] |
| 142 | + let ``cos: computes cosine of pi/2`` () = |
| 143 | + let result = cos<float> (Math.PI / 2.0) |
| 144 | + floatEqual 0.0 result 1e-10 |
| 145 | + |
| 146 | + [<Fact>] |
| 147 | + let ``pi: returns correct value for float`` () = |
| 148 | + let result = pi<float> () |
| 149 | + floatEqual Math.PI result 1e-10 |
| 150 | + |
| 151 | + [<Fact>] |
| 152 | + let ``e: returns Euler's number for float`` () = |
| 153 | + let result = e<float> () |
| 154 | + floatEqual Math.E result 1e-10 |
| 155 | + |
| 156 | + [<Fact>] |
| 157 | + let ``tau: returns 2*pi for float`` () = |
| 158 | + let result = tau<float> () |
| 159 | + floatEqual (2.0 * Math.PI) result 1e-10 |
| 160 | + |
| 161 | + [<Fact>] |
| 162 | + let ``floor: rounds down positive number`` () = |
| 163 | + let result = floor<float> 3.7 |
| 164 | + floatEqual 3.0 result 1e-10 |
| 165 | + |
| 166 | + [<Fact>] |
| 167 | + let ``floor: rounds down negative number`` () = |
| 168 | + let result = floor<float> -2.3 |
| 169 | + floatEqual -3.0 result 1e-10 |
| 170 | + |
| 171 | + [<Fact>] |
| 172 | + let ``floor: keeps integer unchanged`` () = |
| 173 | + let result = floor<float> 5.0 |
| 174 | + floatEqual 5.0 result 1e-10 |
| 175 | + |
| 176 | + [<Fact>] |
| 177 | + let ``epsilon: returns a very small positive value`` () = |
| 178 | + let result = epsilon<float> () |
| 179 | + Assert.True(result > 0.0) |
| 180 | + Assert.True(result < 1e-300) |
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