Validation results ITU-R P.836-6¶
This page contains the validation examples for Recommendation ITU-R P.836-6: Water vapour: surface density and total columnar content.
All test cases were extracted from the ITU Validation examples file (rev 5.1).
Functions tested
Function surface_water_vapour_density¶
The table below contains the results of testing function surface_water_vapour_density.
The test cases were extracted from spreadsheet ITURP836-6_surface_water_vapour_density_annual.csv from the
ITU Validation examples file (rev 5.1).
In addition to the input-arguments, expected result (ITU Validation), and
ITU-Rpy computed result (ITUR-py Result), the absolute and relative errors
are shown. Each test case is color-coded depending on the magnitude of the
errors (green = pass, errors are negligible, red = fail, relative error is
above 0.01%).
In addition, the code snippet below shows an example of how to generate the first row of the results in the table:
import itur
# Define input attributes
lat = 3.133 # (°N)
lon = 101.7 # (°E)
alt = 0.05125146 # (km)
p = 0.1 # (%)
# Make call to test-function surface_water_vapour_density
itur_val = itur.models.itu836.surface_water_vapour_density(lat=lat, lon=lon, alt=alt, p=p)
# Compute error with respect to value in ITU example file
ITU_example_val = 24.32302408 # (g/m3)
error = ITU_example_val - itur_val.value
error_rel = error / ITU_example_val * 100 # (%)
| ITU-Rpy Function | lat (°N) | lon (°E) | alt (km) | p (%) | ITU Validation (g/m3) | ITU-Rpy Result (g/m3) | Absolute Error | Relative Error |
|---|---|---|---|---|---|---|---|---|
| models.itu836.surface_water_vapour_density | 3.133 | 101.70 | 0.051251 | 0.10 | 24.323024 | 24.323024 | 3.06e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 3.133 | 101.70 | 0.051251 | 0.15 | 24.195729 | 24.195729 | 3.52e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 3.133 | 101.70 | 0.051251 | 0.30 | 23.952441 | 23.952441 | 3.28e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 3.133 | 101.70 | 0.051251 | 0.35 | 23.893346 | 23.893346 | 2.71e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 22.900 | -43.23 | 0.000000 | 0.10 | 21.591649 | 21.591649 | -2.67e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 22.900 | -43.23 | 0.000000 | 0.15 | 21.461644 | 21.461644 | 6.24e-10 | 0.000 |
| models.itu836.surface_water_vapour_density | 22.900 | -43.23 | 0.000000 | 0.30 | 21.247533 | 21.247533 | 4.81e-09 | 0.000 |
| models.itu836.surface_water_vapour_density | 22.900 | -43.23 | 0.000000 | 0.35 | 21.186760 | 21.186760 | -1.08e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 23.000 | 30.00 | 0.187594 | 0.10 | 11.983147 | 11.983148 | -2.61e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 23.000 | 30.00 | 0.187594 | 0.15 | 11.721333 | 11.721333 | 2.28e-09 | 0.000 |
| models.itu836.surface_water_vapour_density | 23.000 | 30.00 | 0.187594 | 0.30 | 11.229887 | 11.229887 | -6.12e-10 | -0.000 |
| models.itu836.surface_water_vapour_density | 23.000 | 30.00 | 0.187594 | 0.35 | 11.117501 | 11.117501 | -4.93e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 25.780 | -80.22 | 0.008617 | 0.10 | 23.448289 | 23.448289 | -4.73e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 25.780 | -80.22 | 0.008617 | 0.15 | 23.281960 | 23.281960 | -4.93e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 25.780 | -80.22 | 0.008617 | 0.30 | 23.000809 | 23.000809 | -1.48e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 25.780 | -80.22 | 0.008617 | 0.35 | 22.937809 | 22.937809 | -3.99e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 28.717 | 77.30 | 0.209384 | 0.10 | 26.009841 | 26.009841 | 1.07e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 28.717 | 77.30 | 0.209384 | 0.15 | 25.769706 | 25.769706 | 3.15e-09 | 0.000 |
| models.itu836.surface_water_vapour_density | 28.717 | 77.30 | 0.209384 | 0.30 | 25.398943 | 25.398943 | 8.78e-09 | 0.000 |
| models.itu836.surface_water_vapour_density | 28.717 | 77.30 | 0.209384 | 0.35 | 25.314770 | 25.314770 | 9.35e-09 | 0.000 |
| models.itu836.surface_water_vapour_density | 33.940 | 18.43 | 0.000000 | 0.10 | 24.001565 | 24.001565 | -3.08e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 33.940 | 18.43 | 0.000000 | 0.15 | 23.859876 | 23.859876 | -4.09e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 33.940 | 18.43 | 0.000000 | 0.30 | 23.514645 | 23.514645 | 3.03e-09 | 0.000 |
| models.itu836.surface_water_vapour_density | 33.940 | 18.43 | 0.000000 | 0.35 | 23.419545 | 23.419545 | -3.93e-09 | -0.000 |
| models.itu836.surface_water_vapour_density | 41.900 | 12.49 | 0.046123 | 0.10 | 19.851665 | 19.851665 | 1.54e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 41.900 | 12.49 | 0.046123 | 0.15 | 19.556349 | 19.556349 | 1.09e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 41.900 | 12.49 | 0.046123 | 0.30 | 19.092542 | 19.092542 | 1.56e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 41.900 | 12.49 | 0.046123 | 0.35 | 18.988935 | 18.988935 | 1.70e-08 | 0.000 |
| models.itu836.surface_water_vapour_density | 51.500 | -0.14 | 0.031383 | 0.10 | 15.370307 | 15.370307 | -1.86e-08 | -0.000 |
| models.itu836.surface_water_vapour_density | 51.500 | -0.14 | 0.031383 | 0.15 | 15.177703 | 15.177703 | -1.26e-08 | -0.000 |
| models.itu836.surface_water_vapour_density | 51.500 | -0.14 | 0.031383 | 0.30 | 14.783593 | 14.783593 | -1.66e-08 | -0.000 |
| models.itu836.surface_water_vapour_density | 51.500 | -0.14 | 0.031383 | 0.35 | 14.671618 | 14.671618 | -1.81e-08 | -0.000 |
Function total_water_vapour_content¶
The table below contains the results of testing function total_water_vapour_content.
The test cases were extracted from spreadsheet ITURP836-6_total_water_vapour_content_annual.csv from the
ITU Validation examples file (rev 5.1).
In addition to the input-arguments, expected result (ITU Validation), and
ITU-Rpy computed result (ITUR-py Result), the absolute and relative errors
are shown. Each test case is color-coded depending on the magnitude of the
errors (green = pass, errors are negligible, red = fail, relative error is
above 0.01%).
In addition, the code snippet below shows an example of how to generate the first row of the results in the table:
import itur
# Define input attributes
lat = 3.133 # (°N)
lon = 101.7 # (°E)
alt = 0.05125146 # (km)
p = 0.1 # (%)
# Make call to test-function total_water_vapour_content
itur_val = itur.models.itu836.total_water_vapour_content(lat=lat, lon=lon, alt=alt, p=p)
# Compute error with respect to value in ITU example file
ITU_example_val = 65.92042976 # (kg/m2)
error = ITU_example_val - itur_val.value
error_rel = error / ITU_example_val * 100 # (%)
| ITU-Rpy Function | lat (°N) | lon (°E) | alt (km) | p (%) | ITU Validation (kg/m2) | ITU-Rpy Result (kg/m2) | Absolute Error | Relative Error |
|---|---|---|---|---|---|---|---|---|
| models.itu836.total_water_vapour_content | 3.133 | 101.70 | 0.051251 | 0.10 | 65.920430 | 65.920430 | 8.01e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 3.133 | 101.70 | 0.051251 | 0.15 | 65.350645 | 65.350645 | 8.86e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 3.133 | 101.70 | 0.051251 | 0.30 | 64.336356 | 64.336356 | 8.42e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 3.133 | 101.70 | 0.051251 | 0.35 | 64.112166 | 64.112166 | 8.34e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 22.900 | -43.23 | 0.000000 | 0.10 | 56.387886 | 56.387886 | 2.81e-09 | 0.000 |
| models.itu836.total_water_vapour_content | 22.900 | -43.23 | 0.000000 | 0.15 | 55.360647 | 55.360647 | 3.97e-09 | 0.000 |
| models.itu836.total_water_vapour_content | 22.900 | -43.23 | 0.000000 | 0.30 | 53.485111 | 53.485111 | -7.41e-10 | -0.000 |
| models.itu836.total_water_vapour_content | 22.900 | -43.23 | 0.000000 | 0.35 | 53.039183 | 53.039183 | -1.65e-09 | -0.000 |
| models.itu836.total_water_vapour_content | 23.000 | 30.00 | 0.187594 | 0.10 | 38.801076 | 38.801076 | 3.39e-09 | 0.000 |
| models.itu836.total_water_vapour_content | 23.000 | 30.00 | 0.187594 | 0.15 | 37.545803 | 37.545803 | 1.80e-09 | 0.000 |
| models.itu836.total_water_vapour_content | 23.000 | 30.00 | 0.187594 | 0.30 | 34.965412 | 34.965412 | 2.92e-09 | 0.000 |
| models.itu836.total_water_vapour_content | 23.000 | 30.00 | 0.187594 | 0.35 | 34.401687 | 34.401687 | -4.85e-09 | -0.000 |
| models.itu836.total_water_vapour_content | 25.780 | -80.22 | 0.008617 | 0.10 | 62.684831 | 62.684831 | -3.05e-09 | -0.000 |
| models.itu836.total_water_vapour_content | 25.780 | -80.22 | 0.008617 | 0.15 | 61.793775 | 61.793775 | 4.01e-09 | 0.000 |
| models.itu836.total_water_vapour_content | 25.780 | -80.22 | 0.008617 | 0.30 | 60.314611 | 60.314611 | -7.41e-10 | -0.000 |
| models.itu836.total_water_vapour_content | 25.780 | -80.22 | 0.008617 | 0.35 | 59.984996 | 59.984996 | 3.17e-09 | 0.000 |
| models.itu836.total_water_vapour_content | 28.717 | 77.30 | 0.209384 | 0.10 | 75.614529 | 75.614529 | 2.00e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 28.717 | 77.30 | 0.209384 | 0.15 | 74.963746 | 74.963746 | 2.42e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 28.717 | 77.30 | 0.209384 | 0.30 | 73.574292 | 73.574292 | 2.03e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 28.717 | 77.30 | 0.209384 | 0.35 | 73.243239 | 73.243239 | 2.15e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 33.940 | 18.43 | 0.000000 | 0.10 | 45.198952 | 45.198952 | -4.96e-09 | -0.000 |
| models.itu836.total_water_vapour_content | 33.940 | 18.43 | 0.000000 | 0.15 | 44.152752 | 44.152752 | 2.59e-10 | 0.000 |
| models.itu836.total_water_vapour_content | 33.940 | 18.43 | 0.000000 | 0.30 | 42.210224 | 42.210224 | -1.94e-09 | -0.000 |
| models.itu836.total_water_vapour_content | 33.940 | 18.43 | 0.000000 | 0.35 | 41.697726 | 41.697726 | -3.38e-09 | -0.000 |
| models.itu836.total_water_vapour_content | 41.900 | 12.49 | 0.046123 | 0.10 | 40.071283 | 40.071283 | 2.20e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 41.900 | 12.49 | 0.046123 | 0.15 | 39.474620 | 39.474620 | 2.39e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 41.900 | 12.49 | 0.046123 | 0.30 | 38.329647 | 38.329647 | 2.46e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 41.900 | 12.49 | 0.046123 | 0.35 | 38.083213 | 38.083213 | 2.15e-08 | 0.000 |
| models.itu836.total_water_vapour_content | 51.500 | -0.14 | 0.031383 | 0.10 | 39.642498 | 39.642498 | -4.76e-08 | -0.000 |
| models.itu836.total_water_vapour_content | 51.500 | -0.14 | 0.031383 | 0.15 | 38.824475 | 38.824475 | -4.33e-08 | -0.000 |
| models.itu836.total_water_vapour_content | 51.500 | -0.14 | 0.031383 | 0.30 | 37.295953 | 37.295953 | -4.50e-08 | -0.000 |
| models.itu836.total_water_vapour_content | 51.500 | -0.14 | 0.031383 | 0.35 | 36.822058 | 36.822058 | -4.19e-08 | -0.000 |