|
| 1 | +######################################################################################## |
| 2 | +## |
| 3 | +## TESTS FOR |
| 4 | +## 'utils.airspeed_conversions.py' |
| 5 | +## |
| 6 | +######################################################################################## |
| 7 | + |
| 8 | +# IMPORTS ============================================================================== |
| 9 | + |
| 10 | +import unittest |
| 11 | +from pathsim_flight.utils.airspeed_conversions import ( |
| 12 | + CAStoMach, |
| 13 | + CAStoTAS, |
| 14 | + TAStoCAS, |
| 15 | + CAStoEAS, |
| 16 | + EAStoTAS, |
| 17 | + MachtoCAS, |
| 18 | +) |
| 19 | +from pathsim_flight.atmosphere.international_standard_atmosphere import ISAtmosphere |
| 20 | + |
| 21 | + |
| 22 | +# TESTS ================================================================================ |
| 23 | + |
| 24 | +class TestCAStoMach(unittest.TestCase): |
| 25 | + """Test the CAStoMach block.""" |
| 26 | + |
| 27 | + def test_port_labels(self): |
| 28 | + """Test port label definitions.""" |
| 29 | + self.assertEqual(CAStoMach.input_port_labels["cas"], 0) |
| 30 | + self.assertEqual(CAStoMach.input_port_labels["altitude"], 1) |
| 31 | + self.assertEqual(CAStoMach.output_port_labels["mach"], 0) |
| 32 | + |
| 33 | + def test_zero_cas_returns_zero_mach(self): |
| 34 | + mach = CAStoMach()._eval(0.0, 0.0) |
| 35 | + self.assertAlmostEqual(mach, 0.0, places=9) |
| 36 | + |
| 37 | + def test_monotonic_increase_and_supersonic_branch(self): |
| 38 | + a0 = ISAtmosphere.StdSL_speed_of_sound |
| 39 | + alt = 0.0 |
| 40 | + cas_values = (1.0, 50.0, 150.0, 300.0, a0 + 1.0) |
| 41 | + mach_values = [CAStoMach()._eval(cas, alt) for cas in cas_values] |
| 42 | + |
| 43 | + # monotonic increase |
| 44 | + for earlier, later in zip(mach_values, mach_values[1:]): |
| 45 | + self.assertLess(earlier, later) |
| 46 | + |
| 47 | + # ensure supersonic branch yields mach > 1 for CAS slightly above speed of sound |
| 48 | + self.assertGreater(mach_values[-1], 1.0) |
| 49 | + |
| 50 | +class TestCAStoTAS(unittest.TestCase): |
| 51 | + """Test the CAStoTAS block.""" |
| 52 | + |
| 53 | + def test_port_labels(self): |
| 54 | + """Test port label definitions.""" |
| 55 | + self.assertEqual(CAStoTAS.input_port_labels["cas"], 0) |
| 56 | + self.assertEqual(CAStoTAS.input_port_labels["altitude"], 1) |
| 57 | + self.assertEqual(CAStoTAS.output_port_labels["tas"], 0) |
| 58 | + |
| 59 | + def test_tas_equals_mach_times_speed_of_sound(self): |
| 60 | + cas = 120.0 |
| 61 | + altitude = 5000.0 |
| 62 | + |
| 63 | + tas = CAStoTAS()._eval(cas, altitude) |
| 64 | + |
| 65 | + mach = CAStoMach()._eval(cas, altitude) |
| 66 | + _, _, _, speed_of_sound = ISAtmosphere()._eval(altitude) |
| 67 | + |
| 68 | + self.assertAlmostEqual(tas, mach * speed_of_sound, places=6) |
| 69 | + |
| 70 | + def test_roundtrip_with_tastoCAS(self): |
| 71 | + for alt in (0.0, 5000.0, 11000.0): |
| 72 | + for cas in (1.0, 30.0, 120.0, 180.0): |
| 73 | + tas = CAStoTAS()._eval(cas, alt) |
| 74 | + cas_back = TAStoCAS()._eval(tas, alt) |
| 75 | + # numerical tolerance can be modest due to iterative formulas |
| 76 | + self.assertAlmostEqual(cas_back, cas, places=2) |
| 77 | + |
| 78 | +class TestTAStoCAS(unittest.TestCase): |
| 79 | + """Test the TAStoCAS block.""" |
| 80 | + |
| 81 | + def test_port_labels(self): |
| 82 | + self.assertEqual(TAStoCAS.input_port_labels["tas"], 0) |
| 83 | + self.assertEqual(TAStoCAS.input_port_labels["altitude"], 1) |
| 84 | + self.assertEqual(TAStoCAS.output_port_labels["cas"], 0) |
| 85 | + |
| 86 | + def test_tas_to_cas_small_speed(self): |
| 87 | + # For small TAS at sea level CAS ~= TAS |
| 88 | + for tas in (0.0, 1.0, 5.0, 20.0): |
| 89 | + cas = TAStoCAS()._eval(tas, 0.0) |
| 90 | + self.assertAlmostEqual(cas, tas, places=4) |
| 91 | + |
| 92 | + def test_tas_to_cas_inverse_of_cas_to_tas(self): |
| 93 | + # Ensure TAStoCAS(CAStoTAS(cas)) ~= cas |
| 94 | + for alt in (0.0, 3000.0, 10000.0): |
| 95 | + for cas in (5.0, 50.0, 150.0): |
| 96 | + tas = CAStoTAS()._eval(cas, alt) |
| 97 | + cas_back = TAStoCAS()._eval(tas, alt) |
| 98 | + self.assertAlmostEqual(cas_back, cas, places=3) |
| 99 | + |
| 100 | +class TestCAStoEAS(unittest.TestCase): |
| 101 | + """Test the CAStoEAS block.""" |
| 102 | + |
| 103 | + def test_port_labels(self): |
| 104 | + """Test port label definitions.""" |
| 105 | + self.assertEqual(CAStoEAS.input_port_labels["cas"], 0) |
| 106 | + self.assertEqual(CAStoEAS.input_port_labels["altitude"], 1) |
| 107 | + self.assertEqual(CAStoEAS.output_port_labels["eas"], 0) |
| 108 | + |
| 109 | + def test_spot_speeds(self): |
| 110 | + """Test CAS to EAS conversion at some spot speeds and altitudes.""" |
| 111 | + |
| 112 | + # References from - https://aerospaceweb.org/design/scripts/atmosphere/ |
| 113 | + references = [ |
| 114 | + [0, 0, 0], |
| 115 | + [100, 0, 100], |
| 116 | + [200, 0, 200], |
| 117 | + [300, 0, 300], |
| 118 | + [0 , 1000, 0], |
| 119 | + [100, 1000, 99.9], |
| 120 | + [200, 1000, 199.0], |
| 121 | + [300, 1000, 297.1], |
| 122 | + [0, 5000, 0], |
| 123 | + [100, 5000, 99.1], |
| 124 | + [200, 5000, 193.7], |
| 125 | + [300, 5000, 282.9], |
| 126 | + [0, 10000, 0], |
| 127 | + [100, 10000, 97.2], |
| 128 | + [200, 10000, 182.6], |
| 129 | + [300, 10000, 265.7] |
| 130 | + ] |
| 131 | + |
| 132 | + cas_to_eas = CAStoEAS() |
| 133 | + |
| 134 | + for ref in references: |
| 135 | + cas_to_eas.inputs[0] = ref[0] # cas |
| 136 | + cas_to_eas.inputs[1] = ref[1] # altitude |
| 137 | + cas_to_eas.update(None) |
| 138 | + |
| 139 | + self.assertAlmostEqual(cas_to_eas.outputs[0], ref[2], places=1) # eas |
| 140 | + |
| 141 | +class TestEAStoTAS(unittest.TestCase): |
| 142 | + """Test the EAStoTAS block.""" |
| 143 | + |
| 144 | + def test_port_labels(self): |
| 145 | + """Test port label definitions.""" |
| 146 | + self.assertEqual(EAStoTAS.input_port_labels["eas"], 0) |
| 147 | + self.assertEqual(EAStoTAS.input_port_labels["altitude"], 1) |
| 148 | + self.assertEqual(EAStoTAS.output_port_labels["tas"], 0) |
| 149 | + |
| 150 | + def test_inverse_relationship_with_cas_to_eas(self): |
| 151 | + # EAStoTAS(CAStoEAS(cas, h), h) == CAStoTAS(cas, h) |
| 152 | + for alt in (0.0, 2000.0, 10000.0): |
| 153 | + for cas in (10.0, 50.0, 150.0): |
| 154 | + eas = CAStoEAS()._eval(cas, alt) |
| 155 | + tas_from_eas = EAStoTAS()._eval(eas, alt) |
| 156 | + tas_from_cas = CAStoTAS()._eval(cas, alt) |
| 157 | + self.assertAlmostEqual(tas_from_eas, tas_from_cas, places=6) |
| 158 | + |
| 159 | +class TestMachtoCAS(unittest.TestCase): |
| 160 | + """Test the MachtoCAS block.""" |
| 161 | + |
| 162 | + def test_port_labels(self): |
| 163 | + """Test port label definitions.""" |
| 164 | + self.assertEqual(MachtoCAS.input_port_labels["mach"], 0) |
| 165 | + self.assertEqual(MachtoCAS.input_port_labels["altitude"], 1) |
| 166 | + self.assertEqual(MachtoCAS.output_port_labels["cas"], 0) |
| 167 | + |
| 168 | + def test_spot_machs(self): |
| 169 | + """Test Mach to CAS conversion at some spot Mach numbers and altitudes.""" |
| 170 | + |
| 171 | + # References from - https://aerospaceweb.org/design/scripts/atmosphere/ |
| 172 | + references = [ |
| 173 | + [0.5, 0, 170.1], |
| 174 | + [1.2, 0, 408.4], |
| 175 | + [0.5, 5000, 126.0], |
| 176 | + [1.2, 5000, 318.6], # 317.0 |
| 177 | + [0.5, 10000, 89.0], |
| 178 | + [1.2, 10000, 234.2] # 232.9 |
| 179 | + ] |
| 180 | + |
| 181 | + mach_to_cas = MachtoCAS() |
| 182 | + |
| 183 | + for ref in references: |
| 184 | + mach_to_cas.inputs[0] = ref[0] # mach |
| 185 | + mach_to_cas.inputs[1] = ref[1] # altitude |
| 186 | + mach_to_cas.update(None) |
| 187 | + self.assertAlmostEqual(mach_to_cas.outputs[0], ref[2], places=1) |
| 188 | + |
| 189 | + |
| 190 | +class TestGeneralAirspeedConversions(unittest.TestCase): |
| 191 | + """Test general properties of the airspeed conversion blocks.""" |
| 192 | + |
| 193 | + def setUp(self): |
| 194 | + self.isa = ISAtmosphere() |
| 195 | + self.rho0 = self.isa._eval(0)[1] |
| 196 | + |
| 197 | + def test_cas_to_eas_at_sea_level_equals_cas_to_tas(self): |
| 198 | + # At sea level density == rho0 so EAS == TAS |
| 199 | + for cas in (0.0, 5.0, 50.0, 150.0, 250.0): |
| 200 | + eas = CAStoEAS()._eval(cas, 0) |
| 201 | + tas = CAStoTAS()._eval(cas, 0) |
| 202 | + self.assertAlmostEqual(eas, tas, places=9, |
| 203 | + msg=f"CAS={cas}: CAStoEAS != CAStoTAS at sea level") |
| 204 | + |
| 205 | + def test_eas_to_tas_inverse_of_cas_to_eas(self): |
| 206 | + # EAStoTAS(CAStoEAS(cas, h), h) == CAStoTAS(cas, h) |
| 207 | + for alt in (0.0, 2000.0, 10000.0): |
| 208 | + for cas in (20.0, 100.0, 200.0): |
| 209 | + eas = CAStoEAS()._eval(cas, alt) |
| 210 | + tas_from_eas = EAStoTAS()._eval(eas, alt) |
| 211 | + tas_from_cas = CAStoTAS()._eval(cas, alt) |
| 212 | + self.assertAlmostEqual(tas_from_eas, tas_from_cas, places=6, |
| 213 | + msg=f"alt={alt}, cas={cas}: EAStoTAS(CAStoEAS(.)) != CAStoTAS(.)") |
| 214 | + |
| 215 | + def test_tas_to_cas_roundtrip(self): |
| 216 | + # CAStoTAS then TAStoCAS should return approximately the original CAS |
| 217 | + for alt in (0.0, 5000.0, 11000.0): |
| 218 | + for cas in (1.0, 30.0, 120.0, 180.0): |
| 219 | + tas = CAStoTAS()._eval(cas, alt) |
| 220 | + cas_back = TAStoCAS()._eval(tas, alt) |
| 221 | + # Allow small numerical differences |
| 222 | + self.assertAlmostEqual(cas_back, cas, places=2, |
| 223 | + msg=f"alt={alt}, cas={cas}: roundtrip CAS->TAS->CAS mismatch") |
| 224 | + |
| 225 | + def test_cas_to_mach_monotonic_increasing(self): |
| 226 | + # Mach should increase with increasing calibrated airspeed |
| 227 | + alt = 0.0 |
| 228 | + cas_values = (1.0, 50.0, 150.0, 300.0) |
| 229 | + mach_values = [CAStoMach()._eval(cas, alt) for cas in cas_values] |
| 230 | + for earlier, later in zip(mach_values, mach_values[1:]): |
| 231 | + self.assertLess(earlier, later, msg="Mach value did not increase with CAS") |
| 232 | + |
| 233 | + def test_eas_tas_inverse_relationship(self): |
| 234 | + # EAStoTAS(CAStoEAS(cas, h), h) == CAStoTAS(cas, h) |
| 235 | + for alt in (0.0, 2000.0, 10000.0): |
| 236 | + for cas in (10.0, 50.0, 150.0): |
| 237 | + # CAS -> EAS |
| 238 | + cas_to_eas = CAStoEAS() |
| 239 | + cas_to_eas.inputs[0] = cas |
| 240 | + cas_to_eas.inputs[1] = alt |
| 241 | + cas_to_eas.update(None) |
| 242 | + eas = cas_to_eas.outputs[0] |
| 243 | + |
| 244 | + # EAS -> TAS |
| 245 | + eas_to_tas = EAStoTAS() |
| 246 | + eas_to_tas.inputs[0] = eas |
| 247 | + eas_to_tas.inputs[1] = alt |
| 248 | + eas_to_tas.update(None) |
| 249 | + tas_from_eas = eas_to_tas.outputs[0] |
| 250 | + |
| 251 | + # CAS -> TAS |
| 252 | + cas_to_tas = CAStoTAS() |
| 253 | + cas_to_tas.inputs[0] = cas |
| 254 | + cas_to_tas.inputs[1] = alt |
| 255 | + cas_to_tas.update(None) |
| 256 | + tas_from_cas = cas_to_tas.outputs[0] |
| 257 | + |
| 258 | + self.assertAlmostEqual(tas_from_eas, tas_from_cas, places=6, |
| 259 | + msg=f"alt={alt}, cas={cas}: EAStoTAS(CAStoEAS(.)) != CAStoTAS(.)") |
| 260 | + |
| 261 | + |
| 262 | +# RUN TESTS LOCALLY ==================================================================== |
| 263 | + |
| 264 | +if __name__ == '__main__': |
| 265 | + unittest.main(verbosity=2) |
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