Validation results ITU-R P.676-12 ¶

This page contains the validation examples for Recommendation ITU-R P.676-12: Attenuation by atmospheric gases and related effects.

All test cases were extracted from the ITU Validation examples file (rev 5.1).

Functions tested

Validation results ITU-R P.676-12

Function gaseous_attenuation_slant_path ¶

The table below contains the results of testing function gaseous_attenuation_slant_path. The test cases were extracted from spreadsheet ITURP676-12_A_gas.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
f = 14.25  # (GHz)
el = 31.07699124  # (°)
rho = 13.79653679  # (g/m3)
P = 1009.485612  # (hPA)
T = 283.6108756  #  (C)
h = 0.031382984  # (km)
V_t = 33.72946527  #  (kg/m2)

# Make call to test-function gaseous_attenuation_slant_path
itur_val = itur.models.itu676.gaseous_attenuation_slant_path(f=f, el=el, rho=rho, P=P, T=T, h=h, V_t=V_t)

# Compute error with respect to value in ITU example file
ITU_example_val = 0.226874038  # (dB)
error = ITU_example_val - itur_val.value
error_rel = error / ITU_example_val * 100  # (%)

Validation results models.itu676.gaseous_attenuation_slant_path

ITU-Rpy Function	f (GHz)	el (°)	rho (g/m3)	P (hPA)	T (C)	h (km)	V_t (kg/m2)	ITU Validation (dB)	ITU-Rpy Result (dB)	Absolute Error	Relative Error
models.itu676.gaseous_attenuation_slant_path	14.25	31.076991	13.796537	1009.485612	283.610876	0.031383	33.729465	0.226874	0.226874	3.20e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	40.232036	18.262420	1007.721474	288.089737	0.046123	36.048109	0.189481	0.189481	-1.29e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	46.359693	22.730002	1013.250000	293.369680	0.000000	37.955600	0.176011	0.176011	-2.98e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	31.076991	14.412531	1009.485612	283.610876	0.031383	35.725554	0.236085	0.236085	3.32e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	40.232036	18.749209	1007.721474	288.089737	0.046123	37.513014	0.194969	0.194969	-2.48e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	46.359693	23.199501	1013.250000	293.369680	0.000000	40.511906	0.184676	0.184676	-3.89e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	31.076991	14.783593	1009.485612	283.610876	0.031383	37.295953	0.243411	0.243411	7.32e-11	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	40.232036	19.092542	1007.721474	288.089737	0.046123	38.329647	0.198062	0.198062	6.92e-11	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	46.359693	23.514645	1013.250000	293.369680	0.000000	42.210224	0.190521	0.190521	-3.61e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	31.076991	15.041048	1009.485612	283.610876	0.031383	38.244078	0.247880	0.247880	2.88e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	40.232036	19.346819	1007.721474	288.089737	0.046123	39.051281	0.200805	0.200805	5.58e-11	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	46.359693	23.759345	1013.250000	293.369680	0.000000	43.410461	0.194697	0.194697	-2.08e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	31.076991	13.796537	1009.485612	283.610876	0.031383	33.729465	0.837660	0.837660	-1.39e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	40.232036	18.262420	1007.721474	288.089737	0.046123	36.048109	0.706966	0.706966	3.09e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	46.359693	22.730002	1013.250000	293.369680	0.000000	37.955600	0.665978	0.665978	-5.62e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	31.076991	14.412531	1009.485612	283.610876	0.031383	35.725554	0.880473	0.880473	6.19e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	40.232036	18.749209	1007.721474	288.089737	0.046123	37.513014	0.732381	0.732381	2.27e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	46.359693	23.199501	1013.250000	293.369680	0.000000	40.511906	0.706485	0.706485	-1.84e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	31.076991	14.783593	1009.485612	283.610876	0.031383	37.295953	0.914534	0.914534	5.43e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	40.232036	19.092542	1007.721474	288.089737	0.046123	38.329647	0.746677	0.746677	4.67e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	46.359693	23.514645	1013.250000	293.369680	0.000000	42.210224	0.733784	0.733784	1.27e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	31.076991	15.041048	1009.485612	283.610876	0.031383	38.244078	0.935286	0.935286	-1.04e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	40.232036	19.346819	1007.721474	288.089737	0.046123	39.051281	0.759364	0.759364	5.10e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	46.359693	23.759345	1013.250000	293.369680	0.000000	43.410461	0.753268	0.753268	2.05e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	22.278335	20.739431	1013.250000	297.453541	0.000000	49.513184	0.411484	0.411484	-4.83e-11	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	52.678985	22.466488	1012.215224	297.574654	0.008617	57.497546	0.223232	0.223232	-1.07e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	22.278335	21.046143	1013.250000	297.453541	0.000000	52.007390	0.428947	0.428947	-1.01e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	52.678985	22.792038	1012.215224	297.574654	0.008617	59.222332	0.229296	0.229296	3.46e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	22.278335	21.247533	1013.250000	297.453541	0.000000	53.485111	0.439437	0.439437	-8.09e-11	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	52.678985	23.000809	1012.215224	297.574654	0.008617	60.314611	0.233171	0.233171	1.81e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	22.278335	21.369403	1013.250000	297.453541	0.000000	54.631809	0.447641	0.447641	3.39e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	52.678985	23.163948	1012.215224	297.574654	0.008617	61.161560	0.236195	0.236195	-4.61e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	22.278335	20.739431	1013.250000	297.453541	0.000000	49.513184	1.627537	1.627537	-3.62e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	52.678985	22.466488	1012.215224	297.574654	0.008617	57.497546	0.900283	0.900283	-5.50e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	22.278335	21.046143	1013.250000	297.453541	0.000000	52.007390	1.708828	1.708828	-3.79e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	52.678985	22.792038	1012.215224	297.574654	0.008617	59.222332	0.928337	0.928337	1.10e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	22.278335	21.247533	1013.250000	297.453541	0.000000	53.485111	1.757604	1.757604	-6.95e-11	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	52.678985	23.000809	1012.215224	297.574654	0.008617	60.314611	0.946255	0.946255	-2.25e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	22.278335	21.369403	1013.250000	297.453541	0.000000	54.631809	1.795751	1.795751	-5.24e-11	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	52.678985	23.163948	1012.215224	297.574654	0.008617	61.161560	0.960229	0.960229	1.51e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	48.241171	24.710531	988.348774	298.058499	0.209384	70.591345	0.285722	0.285722	-2.52e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	85.804596	23.474627	1007.108268	299.605408	0.051251	62.584697	0.191743	0.191743	-4.92e-11	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	20.143358	11.723170	743.187216	290.210093	2.539862	25.925669	0.222224	0.222224	-7.43e-11	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	48.241171	25.120009	988.348774	298.058499	0.209384	72.477248	0.293396	0.293396	-3.05e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	85.804596	23.756613	1007.108268	299.605408	0.051251	63.593435	0.194664	0.194664	-4.53e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	20.143358	12.085274	743.187216	290.210093	2.539862	26.641637	0.226881	0.226881	2.16e-10	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	48.241171	25.398943	988.348774	298.058499	0.209384	73.574292	0.297904	0.297904	-4.60e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	85.804596	23.952441	1007.108268	299.605408	0.051251	64.336356	0.196825	0.196825	3.20e-11	0.000
models.itu676.gaseous_attenuation_slant_path	14.25	20.143358	12.348773	743.187216	290.210093	2.539862	27.087127	0.229798	0.229798	-1.92e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	48.241171	25.599327	988.348774	298.058499	0.209384	74.502008	0.301735	0.301735	-1.03e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	85.804596	24.105412	1007.108268	299.605408	0.051251	64.946376	0.198608	0.198608	-4.24e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	14.25	20.143358	12.547214	743.187216	290.210093	2.539862	27.511871	0.232580	0.232580	4.88e-11	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	48.241171	24.710531	988.348774	298.058499	0.209384	70.591345	1.158466	1.158466	5.10e-11	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	85.804596	23.474627	1007.108268	299.605408	0.051251	62.584697	0.778114	0.778114	4.38e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	20.143358	11.723170	743.187216	290.210093	2.539862	25.925669	0.704136	0.704136	4.69e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	48.241171	25.120009	988.348774	298.058499	0.209384	72.477248	1.192810	1.192810	2.16e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	85.804596	23.756613	1007.108268	299.605408	0.051251	63.593435	0.791490	0.791490	1.34e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	20.143358	12.085274	743.187216	290.210093	2.539862	26.641637	0.720856	0.720856	3.93e-13	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	48.241171	25.398943	988.348774	298.058499	0.209384	73.574292	1.212963	1.212963	5.56e-11	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	85.804596	23.952441	1007.108268	299.605408	0.051251	64.336356	0.801390	0.801390	-2.23e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	20.143358	12.348773	743.187216	290.210093	2.539862	27.087127	0.731314	0.731314	2.23e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	48.241171	25.599327	988.348774	298.058499	0.209384	74.502008	1.230094	1.230094	-2.70e-10	-0.000
models.itu676.gaseous_attenuation_slant_path	29.00	85.804596	24.105412	1007.108268	299.605408	0.051251	64.946376	0.809550	0.809550	4.12e-10	0.000
models.itu676.gaseous_attenuation_slant_path	29.00	20.143358	12.547214	743.187216	290.210093	2.539862	27.511871	0.741298	0.741298	6.94e-12	0.000

Function gamma_exact ¶

The table below contains the results of testing function gamma_exact. The test cases were extracted from spreadsheet ITURP676-12_gamma.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
f = 12.0  # (GHz)
P = 1013.25  # (hPA)
rho = 7.5  # (g/cm3)
T = 288.15  # (K)

# Make call to test-function gamma_exact
itur_val = itur.models.itu676.gamma_exact(f=f, P=P, rho=rho, T=T)

# Compute error with respect to value in ITU example file
ITU_example_val = 0.018233652  # (dB/km)
error = ITU_example_val - itur_val.value
error_rel = error / ITU_example_val * 100  # (%)

Validation results models.itu676.gamma_exact

ITU-Rpy Function	f (GHz)	P (hPA)	rho (g/cm3)	T (K)	ITU Validation (dB/km)	ITU-Rpy Result (dB/km)	Absolute Error	Relative Error
models.itu676.gamma_exact	12.0	1013.25	7.5	288.15	0.018234	0.018234	-2.89e-10	-0.000
models.itu676.gamma_exact	20.0	1013.25	7.5	288.15	0.108931	0.108931	-2.93e-10	-0.000
models.itu676.gamma_exact	60.0	1013.25	7.5	288.15	14.778317	14.778317	2.88e-09	0.000
models.itu676.gamma_exact	90.0	1013.25	7.5	288.15	0.380843	0.380843	-4.95e-10	-0.000
models.itu676.gamma_exact	130.0	1013.25	7.5	288.15	0.793354	0.793354	-2.46e-10	-0.000
models.itu676.gamma_exact	1.0	1013.25	7.5	288.15	0.005440	0.005440	2.15e-10	0.000
models.itu676.gamma_exact	2.0	1013.25	7.5	288.15	0.006920	0.006920	1.47e-10	0.000
models.itu676.gamma_exact	3.0	1013.25	7.5	288.15	0.007539	0.007539	1.08e-11	0.000
models.itu676.gamma_exact	4.0	1013.25	7.5	288.15	0.008089	0.008089	-2.01e-10	-0.000
models.itu676.gamma_exact	5.0	1013.25	7.5	288.15	0.008714	0.008714	-1.77e-10	-0.000
models.itu676.gamma_exact	6.0	1013.25	7.5	288.15	0.009459	0.009459	1.13e-10	0.000
models.itu676.gamma_exact	7.0	1013.25	7.5	288.15	0.010351	0.010351	3.42e-10	0.000
models.itu676.gamma_exact	8.0	1013.25	7.5	288.15	0.011416	0.011416	-2.99e-10	-0.000
models.itu676.gamma_exact	9.0	1013.25	7.5	288.15	0.012684	0.012684	-1.82e-10	-0.000
models.itu676.gamma_exact	10.0	1013.25	7.5	288.15	0.014199	0.014199	5.18e-11	0.000
models.itu676.gamma_exact	11.0	1013.25	7.5	288.15	0.016019	0.016019	-1.24e-10	-0.000
models.itu676.gamma_exact	12.0	1013.25	7.5	288.15	0.018234	0.018234	-2.89e-10	-0.000
models.itu676.gamma_exact	13.0	1013.25	7.5	288.15	0.020980	0.020980	-1.02e-10	-0.000
models.itu676.gamma_exact	14.0	1013.25	7.5	288.15	0.024473	0.024473	-1.31e-10	-0.000
models.itu676.gamma_exact	15.0	1013.25	7.5	288.15	0.029058	0.029058	-5.96e-11	-0.000
models.itu676.gamma_exact	16.0	1013.25	7.5	288.15	0.035316	0.035316	-9.40e-11	-0.000
models.itu676.gamma_exact	17.0	1013.25	7.5	288.15	0.044234	0.044234	-8.23e-11	-0.000
models.itu676.gamma_exact	18.0	1013.25	7.5	288.15	0.057513	0.057513	1.20e-10	0.000
models.itu676.gamma_exact	19.0	1013.25	7.5	288.15	0.077918	0.077918	-1.87e-10	-0.000
models.itu676.gamma_exact	20.0	1013.25	7.5	288.15	0.108931	0.108931	-2.93e-10	-0.000
models.itu676.gamma_exact	21.0	1013.25	7.5	288.15	0.150432	0.150432	1.94e-10	0.000
models.itu676.gamma_exact	22.0	1013.25	7.5	288.15	0.187337	0.187337	-3.02e-10	-0.000
models.itu676.gamma_exact	23.0	1013.25	7.5	288.15	0.194289	0.194289	4.49e-11	0.000
models.itu676.gamma_exact	24.0	1013.25	7.5	288.15	0.173161	0.173161	-1.46e-10	-0.000
models.itu676.gamma_exact	25.0	1013.25	7.5	288.15	0.146235	0.146235	2.06e-10	0.000
models.itu676.gamma_exact	26.0	1013.25	7.5	288.15	0.125028	0.125028	1.32e-10	0.000
models.itu676.gamma_exact	27.0	1013.25	7.5	288.15	0.110735	0.110735	-2.58e-10	-0.000
models.itu676.gamma_exact	28.0	1013.25	7.5	288.15	0.101756	0.101756	-2.07e-10	-0.000
models.itu676.gamma_exact	29.0	1013.25	7.5	288.15	0.096494	0.096494	3.25e-10	0.000
models.itu676.gamma_exact	30.0	1013.25	7.5	288.15	0.093825	0.093825	-2.65e-10	-0.000
models.itu676.gamma_exact	31.0	1013.25	7.5	288.15	0.093020	0.093020	-1.86e-10	-0.000
models.itu676.gamma_exact	32.0	1013.25	7.5	288.15	0.093619	0.093619	-2.43e-10	-0.000
models.itu676.gamma_exact	33.0	1013.25	7.5	288.15	0.095332	0.095332	-4.62e-10	-0.000
models.itu676.gamma_exact	34.0	1013.25	7.5	288.15	0.097979	0.097979	-1.93e-10	-0.000
models.itu676.gamma_exact	35.0	1013.25	7.5	288.15	0.101457	0.101457	-4.89e-10	-0.000
models.itu676.gamma_exact	36.0	1013.25	7.5	288.15	0.105720	0.105720	4.54e-10	0.000
models.itu676.gamma_exact	37.0	1013.25	7.5	288.15	0.110762	0.110762	2.84e-10	0.000
models.itu676.gamma_exact	38.0	1013.25	7.5	288.15	0.116615	0.116615	1.65e-10	0.000
models.itu676.gamma_exact	39.0	1013.25	7.5	288.15	0.123352	0.123352	2.33e-10	0.000
models.itu676.gamma_exact	40.0	1013.25	7.5	288.15	0.131086	0.131086	2.80e-10	0.000
models.itu676.gamma_exact	41.0	1013.25	7.5	288.15	0.139981	0.139981	2.68e-10	0.000
models.itu676.gamma_exact	42.0	1013.25	7.5	288.15	0.150269	0.150269	3.31e-10	0.000
models.itu676.gamma_exact	43.0	1013.25	7.5	288.15	0.162276	0.162276	-4.90e-12	-0.000
models.itu676.gamma_exact	44.0	1013.25	7.5	288.15	0.176460	0.176460	1.26e-10	0.000
models.itu676.gamma_exact	45.0	1013.25	7.5	288.15	0.193481	0.193481	3.81e-10	0.000
models.itu676.gamma_exact	46.0	1013.25	7.5	288.15	0.214318	0.214318	-1.86e-10	-0.000
models.itu676.gamma_exact	47.0	1013.25	7.5	288.15	0.240480	0.240480	4.84e-10	0.000
models.itu676.gamma_exact	48.0	1013.25	7.5	288.15	0.274425	0.274425	-4.91e-10	-0.000
models.itu676.gamma_exact	49.0	1013.25	7.5	288.15	0.320551	0.320551	-1.99e-10	-0.000
models.itu676.gamma_exact	50.0	1013.25	7.5	288.15	0.388427	0.388427	1.99e-10	0.000
models.itu676.gamma_exact	51.0	1013.25	7.5	288.15	0.504721	0.504721	-3.93e-10	-0.000
models.itu676.gamma_exact	52.0	1013.25	7.5	288.15	0.737479	0.737479	1.71e-10	0.000
models.itu676.gamma_exact	53.0	1013.25	7.5	288.15	1.249765	1.249765	4.17e-10	0.000
models.itu676.gamma_exact	54.0	1013.25	7.5	288.15	2.338904	2.338904	-1.21e-10	-0.000
models.itu676.gamma_exact	55.0	1013.25	7.5	288.15	4.324956	4.324956	3.08e-10	0.000
models.itu676.gamma_exact	56.0	1013.25	7.5	288.15	7.191136	7.191136	4.19e-11	0.000
models.itu676.gamma_exact	57.0	1013.25	7.5	288.15	10.205851	10.205852	-3.39e-09	-0.000
models.itu676.gamma_exact	58.0	1013.25	7.5	288.15	12.498391	12.498391	-3.72e-09	-0.000
models.itu676.gamma_exact	59.0	1013.25	7.5	288.15	13.785280	13.785280	-2.11e-09	-0.000
models.itu676.gamma_exact	60.0	1013.25	7.5	288.15	14.778317	14.778317	2.88e-09	0.000
models.itu676.gamma_exact	61.0	1013.25	7.5	288.15	15.166986	15.166986	-2.31e-09	-0.000
models.itu676.gamma_exact	62.0	1013.25	7.5	288.15	14.161167	14.161167	-4.44e-09	-0.000
models.itu676.gamma_exact	63.0	1013.25	7.5	288.15	11.001342	11.001342	-2.97e-09	-0.000
models.itu676.gamma_exact	64.0	1013.25	7.5	288.15	7.020353	7.020353	-6.92e-11	-0.000
models.itu676.gamma_exact	65.0	1013.25	7.5	288.15	3.990338	3.990338	-1.21e-10	-0.000
models.itu676.gamma_exact	66.0	1013.25	7.5	288.15	2.154196	2.154196	7.42e-11	0.000
models.itu676.gamma_exact	67.0	1013.25	7.5	288.15	1.227115	1.227115	4.67e-10	0.000
models.itu676.gamma_exact	68.0	1013.25	7.5	288.15	0.805021	0.805021	1.83e-10	0.000
models.itu676.gamma_exact	69.0	1013.25	7.5	288.15	0.611819	0.611819	-4.54e-10	-0.000
models.itu676.gamma_exact	70.0	1013.25	7.5	288.15	0.513993	0.513993	4.88e-10	0.000
models.itu676.gamma_exact	71.0	1013.25	7.5	288.15	0.456680	0.456680	-3.64e-10	-0.000
models.itu676.gamma_exact	72.0	1013.25	7.5	288.15	0.419049	0.419049	3.12e-10	0.000
models.itu676.gamma_exact	73.0	1013.25	7.5	288.15	0.393232	0.393232	-1.70e-10	-0.000
models.itu676.gamma_exact	74.0	1013.25	7.5	288.15	0.375190	0.375190	-4.12e-10	-0.000
models.itu676.gamma_exact	75.0	1013.25	7.5	288.15	0.362554	0.362554	8.17e-11	0.000
models.itu676.gamma_exact	76.0	1013.25	7.5	288.15	0.353835	0.353835	4.18e-10	0.000
models.itu676.gamma_exact	77.0	1013.25	7.5	288.15	0.348044	0.348044	-2.67e-10	-0.000
models.itu676.gamma_exact	78.0	1013.25	7.5	288.15	0.344501	0.344501	-4.78e-10	-0.000
models.itu676.gamma_exact	79.0	1013.25	7.5	288.15	0.342726	0.342726	-1.19e-10	-0.000
models.itu676.gamma_exact	80.0	1013.25	7.5	288.15	0.342368	0.342368	9.74e-11	0.000
models.itu676.gamma_exact	81.0	1013.25	7.5	288.15	0.343167	0.343167	-1.40e-10	-0.000
models.itu676.gamma_exact	82.0	1013.25	7.5	288.15	0.344926	0.344926	-1.13e-10	-0.000
models.itu676.gamma_exact	83.0	1013.25	7.5	288.15	0.347495	0.347495	-4.10e-10	-0.000
models.itu676.gamma_exact	84.0	1013.25	7.5	288.15	0.350757	0.350757	1.18e-10	0.000
models.itu676.gamma_exact	85.0	1013.25	7.5	288.15	0.354619	0.354619	-4.94e-10	-0.000
models.itu676.gamma_exact	86.0	1013.25	7.5	288.15	0.359008	0.359008	2.15e-10	0.000
models.itu676.gamma_exact	87.0	1013.25	7.5	288.15	0.363867	0.363867	-4.80e-10	-0.000
models.itu676.gamma_exact	88.0	1013.25	7.5	288.15	0.369150	0.369150	-4.01e-10	-0.000
models.itu676.gamma_exact	89.0	1013.25	7.5	288.15	0.374818	0.374818	3.30e-10	0.000
models.itu676.gamma_exact	90.0	1013.25	7.5	288.15	0.380843	0.380843	-4.95e-10	-0.000
models.itu676.gamma_exact	91.0	1013.25	7.5	288.15	0.387202	0.387202	-1.20e-10	-0.000
models.itu676.gamma_exact	92.0	1013.25	7.5	288.15	0.393877	0.393877	2.12e-10	0.000
models.itu676.gamma_exact	93.0	1013.25	7.5	288.15	0.400855	0.400855	-3.37e-10	-0.000
models.itu676.gamma_exact	94.0	1013.25	7.5	288.15	0.408129	0.408129	-3.90e-11	-0.000
models.itu676.gamma_exact	95.0	1013.25	7.5	288.15	0.415693	0.415693	-1.90e-10	-0.000
models.itu676.gamma_exact	96.0	1013.25	7.5	288.15	0.423549	0.423549	2.48e-10	0.000
models.itu676.gamma_exact	97.0	1013.25	7.5	288.15	0.431701	0.431701	3.52e-10	0.000
models.itu676.gamma_exact	98.0	1013.25	7.5	288.15	0.440158	0.440158	1.15e-10	0.000
models.itu676.gamma_exact	99.0	1013.25	7.5	288.15	0.448936	0.448936	-3.11e-10	-0.000
models.itu676.gamma_exact	100.0	1013.25	7.5	288.15	0.458059	0.458059	2.49e-10	0.000
models.itu676.gamma_exact	101.0	1013.25	7.5	288.15	0.467558	0.467558	-2.27e-10	-0.000
models.itu676.gamma_exact	102.0	1013.25	7.5	288.15	0.477477	0.477477	-1.65e-10	-0.000
models.itu676.gamma_exact	103.0	1013.25	7.5	288.15	0.487876	0.487876	1.86e-10	0.000
models.itu676.gamma_exact	104.0	1013.25	7.5	288.15	0.498836	0.498836	9.17e-12	0.000
models.itu676.gamma_exact	105.0	1013.25	7.5	288.15	0.510473	0.510473	3.16e-10	0.000
models.itu676.gamma_exact	106.0	1013.25	7.5	288.15	0.522944	0.522944	1.69e-10	0.000
models.itu676.gamma_exact	107.0	1013.25	7.5	288.15	0.536477	0.536477	3.96e-10	0.000
models.itu676.gamma_exact	108.0	1013.25	7.5	288.15	0.551407	0.551407	-2.42e-10	-0.000
models.itu676.gamma_exact	109.0	1013.25	7.5	288.15	0.568236	0.568236	-2.64e-11	-0.000
models.itu676.gamma_exact	110.0	1013.25	7.5	288.15	0.587749	0.587749	2.53e-10	0.000
models.itu676.gamma_exact	111.0	1013.25	7.5	288.15	0.611222	0.611222	4.85e-10	0.000
models.itu676.gamma_exact	112.0	1013.25	7.5	288.15	0.640824	0.640824	-1.98e-10	-0.000
models.itu676.gamma_exact	113.0	1013.25	7.5	288.15	0.680468	0.680468	1.71e-10	0.000
models.itu676.gamma_exact	114.0	1013.25	7.5	288.15	0.737669	0.737669	1.32e-11	0.000
models.itu676.gamma_exact	115.0	1013.25	7.5	288.15	0.827930	0.827930	-4.62e-10	-0.000
models.itu676.gamma_exact	116.0	1013.25	7.5	288.15	0.984980	0.984980	4.85e-10	0.000
models.itu676.gamma_exact	117.0	1013.25	7.5	288.15	1.277069	1.277069	2.73e-10	0.000
models.itu676.gamma_exact	118.0	1013.25	7.5	288.15	1.740788	1.740788	-4.65e-10	-0.000
models.itu676.gamma_exact	119.0	1013.25	7.5	288.15	1.924373	1.924373	2.69e-10	0.000
models.itu676.gamma_exact	120.0	1013.25	7.5	288.15	1.515969	1.515969	8.54e-11	0.000
models.itu676.gamma_exact	121.0	1013.25	7.5	288.15	1.150394	1.150394	6.17e-11	0.000
models.itu676.gamma_exact	122.0	1013.25	7.5	288.15	0.960113	0.960113	-3.17e-10	-0.000
models.itu676.gamma_exact	123.0	1013.25	7.5	288.15	0.865748	0.865748	-2.29e-12	-0.000
models.itu676.gamma_exact	124.0	1013.25	7.5	288.15	0.817871	0.817871	-4.18e-10	-0.000
models.itu676.gamma_exact	125.0	1013.25	7.5	288.15	0.793758	0.793758	1.82e-10	0.000
models.itu676.gamma_exact	126.0	1013.25	7.5	288.15	0.782753	0.782753	-1.29e-10	-0.000
models.itu676.gamma_exact	127.0	1013.25	7.5	288.15	0.779515	0.779515	-1.12e-11	-0.000
models.itu676.gamma_exact	128.0	1013.25	7.5	288.15	0.781178	0.781178	1.29e-10	0.000
models.itu676.gamma_exact	129.0	1013.25	7.5	288.15	0.786116	0.786116	-2.43e-10	-0.000
models.itu676.gamma_exact	130.0	1013.25	7.5	288.15	0.793354	0.793354	-2.46e-10	-0.000
models.itu676.gamma_exact	131.0	1013.25	7.5	288.15	0.802287	0.802287	2.44e-10	0.000
models.itu676.gamma_exact	132.0	1013.25	7.5	288.15	0.812525	0.812525	6.00e-11	0.000
models.itu676.gamma_exact	133.0	1013.25	7.5	288.15	0.823814	0.823814	-1.49e-10	-0.000
models.itu676.gamma_exact	134.0	1013.25	7.5	288.15	0.835981	0.835981	-4.23e-10	-0.000
models.itu676.gamma_exact	135.0	1013.25	7.5	288.15	0.848912	0.848912	-4.39e-10	-0.000
models.itu676.gamma_exact	136.0	1013.25	7.5	288.15	0.862531	0.862531	-3.39e-10	-0.000
models.itu676.gamma_exact	137.0	1013.25	7.5	288.15	0.876789	0.876789	7.94e-11	0.000
models.itu676.gamma_exact	138.0	1013.25	7.5	288.15	0.891658	0.891658	2.07e-10	0.000
models.itu676.gamma_exact	139.0	1013.25	7.5	288.15	0.907125	0.907125	5.72e-11	0.000
models.itu676.gamma_exact	140.0	1013.25	7.5	288.15	0.923189	0.923189	-3.51e-10	-0.000
models.itu676.gamma_exact	141.0	1013.25	7.5	288.15	0.939861	0.939861	-1.21e-10	-0.000
models.itu676.gamma_exact	142.0	1013.25	7.5	288.15	0.957161	0.957161	1.48e-10	0.000
models.itu676.gamma_exact	143.0	1013.25	7.5	288.15	0.975117	0.975117	2.49e-10	0.000
models.itu676.gamma_exact	144.0	1013.25	7.5	288.15	0.993767	0.993767	-3.37e-10	-0.000
models.itu676.gamma_exact	145.0	1013.25	7.5	288.15	1.013156	1.013156	-1.90e-10	-0.000
models.itu676.gamma_exact	146.0	1013.25	7.5	288.15	1.033342	1.033342	-1.45e-10	-0.000
models.itu676.gamma_exact	147.0	1013.25	7.5	288.15	1.054390	1.054390	-3.04e-10	-0.000
models.itu676.gamma_exact	148.0	1013.25	7.5	288.15	1.076380	1.076380	4.38e-10	0.000
models.itu676.gamma_exact	149.0	1013.25	7.5	288.15	1.099402	1.099402	-1.43e-10	-0.000
models.itu676.gamma_exact	150.0	1013.25	7.5	288.15	1.123565	1.123565	-1.98e-10	-0.000
models.itu676.gamma_exact	151.0	1013.25	7.5	288.15	1.148992	1.148992	-1.71e-10	-0.000
models.itu676.gamma_exact	152.0	1013.25	7.5	288.15	1.175832	1.175832	4.13e-10	0.000
models.itu676.gamma_exact	153.0	1013.25	7.5	288.15	1.204257	1.204257	-6.22e-11	-0.000
models.itu676.gamma_exact	154.0	1013.25	7.5	288.15	1.234469	1.234469	-1.30e-10	-0.000
models.itu676.gamma_exact	155.0	1013.25	7.5	288.15	1.266709	1.266709	2.64e-11	0.000
models.itu676.gamma_exact	156.0	1013.25	7.5	288.15	1.301261	1.301261	3.28e-11	0.000
models.itu676.gamma_exact	157.0	1013.25	7.5	288.15	1.338466	1.338466	1.11e-10	0.000
models.itu676.gamma_exact	158.0	1013.25	7.5	288.15	1.378730	1.378730	1.79e-10	0.000
models.itu676.gamma_exact	159.0	1013.25	7.5	288.15	1.422548	1.422548	3.02e-10	0.000
models.itu676.gamma_exact	160.0	1013.25	7.5	288.15	1.470518	1.470518	-1.56e-11	-0.000
models.itu676.gamma_exact	161.0	1013.25	7.5	288.15	1.523374	1.523374	3.33e-10	0.000
models.itu676.gamma_exact	162.0	1013.25	7.5	288.15	1.582021	1.582021	-2.02e-10	-0.000
models.itu676.gamma_exact	163.0	1013.25	7.5	288.15	1.647586	1.647586	2.83e-10	0.000
models.itu676.gamma_exact	164.0	1013.25	7.5	288.15	1.721486	1.721486	-1.83e-10	-0.000
models.itu676.gamma_exact	165.0	1013.25	7.5	288.15	1.805518	1.805518	-3.18e-10	-0.000
models.itu676.gamma_exact	166.0	1013.25	7.5	288.15	1.901988	1.901988	5.04e-11	0.000
models.itu676.gamma_exact	167.0	1013.25	7.5	288.15	2.013888	2.013888	3.77e-10	0.000
models.itu676.gamma_exact	168.0	1013.25	7.5	288.15	2.145157	2.145157	1.30e-10	0.000
models.itu676.gamma_exact	169.0	1013.25	7.5	288.15	2.301047	2.301047	3.02e-10	0.000
models.itu676.gamma_exact	170.0	1013.25	7.5	288.15	2.488677	2.488677	-9.00e-11	-0.000
models.itu676.gamma_exact	171.0	1013.25	7.5	288.15	2.717859	2.717859	-4.51e-10	-0.000
models.itu676.gamma_exact	172.0	1013.25	7.5	288.15	3.002369	3.002369	1.18e-11	0.000
models.itu676.gamma_exact	173.0	1013.25	7.5	288.15	3.361946	3.361946	-3.52e-10	-0.000
models.itu676.gamma_exact	174.0	1013.25	7.5	288.15	3.825481	3.825481	1.16e-10	0.000
models.itu676.gamma_exact	175.0	1013.25	7.5	288.15	4.436214	4.436214	8.38e-11	0.000
models.itu676.gamma_exact	176.0	1013.25	7.5	288.15	5.260269	5.260269	-4.04e-10	-0.000
models.itu676.gamma_exact	177.0	1013.25	7.5	288.15	6.400521	6.400521	-4.44e-10	-0.000
models.itu676.gamma_exact	178.0	1013.25	7.5	288.15	8.017786	8.017786	1.23e-10	0.000
models.itu676.gamma_exact	179.0	1013.25	7.5	288.15	10.356174	10.356174	-2.11e-10	-0.000
models.itu676.gamma_exact	180.0	1013.25	7.5	288.15	13.741083	13.741083	1.92e-09	0.000
models.itu676.gamma_exact	181.0	1013.25	7.5	288.15	18.411761	18.411761	4.05e-09	0.000
models.itu676.gamma_exact	182.0	1013.25	7.5	288.15	23.843154	23.843154	-4.24e-09	-0.000
models.itu676.gamma_exact	183.0	1013.25	7.5	288.15	27.677742	27.677742	-3.00e-09	-0.000
models.itu676.gamma_exact	184.0	1013.25	7.5	288.15	27.037613	27.037613	-3.92e-09	-0.000
models.itu676.gamma_exact	185.0	1013.25	7.5	288.15	22.616532	22.616532	-2.71e-09	-0.000
models.itu676.gamma_exact	186.0	1013.25	7.5	288.15	17.493731	17.493731	4.00e-09	0.000
models.itu676.gamma_exact	187.0	1013.25	7.5	288.15	13.352922	13.352922	5.21e-09	0.000
models.itu676.gamma_exact	188.0	1013.25	7.5	288.15	10.385526	10.385526	-1.44e-09	-0.000
models.itu676.gamma_exact	189.0	1013.25	7.5	288.15	8.319332	8.319332	-3.17e-10	-0.000
models.itu676.gamma_exact	190.0	1013.25	7.5	288.15	6.871215	6.871215	1.14e-10	0.000
models.itu676.gamma_exact	191.0	1013.25	7.5	288.15	5.837000	5.837000	-3.69e-10	-0.000
models.itu676.gamma_exact	192.0	1013.25	7.5	288.15	5.082089	5.082089	-4.70e-10	-0.000
models.itu676.gamma_exact	193.0	1013.25	7.5	288.15	4.519256	4.519256	-4.58e-10	-0.000
models.itu676.gamma_exact	194.0	1013.25	7.5	288.15	4.091497	4.091497	-3.04e-10	-0.000
models.itu676.gamma_exact	195.0	1013.25	7.5	288.15	3.760872	3.760872	-4.51e-10	-0.000
models.itu676.gamma_exact	196.0	1013.25	7.5	288.15	3.501597	3.501597	-2.17e-11	-0.000
models.itu676.gamma_exact	197.0	1013.25	7.5	288.15	3.295767	3.295767	-1.65e-10	-0.000
models.itu676.gamma_exact	198.0	1013.25	7.5	288.15	3.130691	3.130691	-5.55e-12	-0.000
models.itu676.gamma_exact	199.0	1013.25	7.5	288.15	2.997199	2.997199	-4.00e-11	-0.000
models.itu676.gamma_exact	200.0	1013.25	7.5	288.15	2.888548	2.888548	-5.17e-11	-0.000
models.itu676.gamma_exact	201.0	1013.25	7.5	288.15	2.799698	2.799698	2.36e-10	0.000
models.itu676.gamma_exact	202.0	1013.25	7.5	288.15	2.726826	2.726826	-4.59e-10	-0.000
models.itu676.gamma_exact	203.0	1013.25	7.5	288.15	2.666990	2.666990	-2.84e-10	-0.000
models.itu676.gamma_exact	204.0	1013.25	7.5	288.15	2.617902	2.617902	-1.26e-10	-0.000
models.itu676.gamma_exact	205.0	1013.25	7.5	288.15	2.577758	2.577758	3.54e-10	0.000
models.itu676.gamma_exact	206.0	1013.25	7.5	288.15	2.545124	2.545124	-1.81e-10	-0.000
models.itu676.gamma_exact	207.0	1013.25	7.5	288.15	2.518846	2.518846	-2.31e-10	-0.000
models.itu676.gamma_exact	208.0	1013.25	7.5	288.15	2.497989	2.497989	-3.72e-10	-0.000
models.itu676.gamma_exact	209.0	1013.25	7.5	288.15	2.481788	2.481788	-3.87e-10	-0.000
models.itu676.gamma_exact	210.0	1013.25	7.5	288.15	2.469615	2.469615	-1.71e-10	-0.000
models.itu676.gamma_exact	211.0	1013.25	7.5	288.15	2.460947	2.460947	-4.40e-11	-0.000
models.itu676.gamma_exact	212.0	1013.25	7.5	288.15	2.455348	2.455348	4.72e-10	0.000
models.itu676.gamma_exact	213.0	1013.25	7.5	288.15	2.452451	2.452451	8.93e-11	0.000
models.itu676.gamma_exact	214.0	1013.25	7.5	288.15	2.451947	2.451947	-2.71e-10	-0.000
models.itu676.gamma_exact	215.0	1013.25	7.5	288.15	2.453573	2.453573	-2.32e-10	-0.000
models.itu676.gamma_exact	216.0	1013.25	7.5	288.15	2.457105	2.457105	-2.24e-11	-0.000
models.itu676.gamma_exact	217.0	1013.25	7.5	288.15	2.462350	2.462350	-4.17e-10	-0.000
models.itu676.gamma_exact	218.0	1013.25	7.5	288.15	2.469142	2.469142	-1.30e-10	-0.000
models.itu676.gamma_exact	219.0	1013.25	7.5	288.15	2.477338	2.477338	3.03e-10	0.000
models.itu676.gamma_exact	220.0	1013.25	7.5	288.15	2.486814	2.486814	-4.93e-10	-0.000
models.itu676.gamma_exact	221.0	1013.25	7.5	288.15	2.497462	2.497462	-3.36e-10	-0.000
models.itu676.gamma_exact	222.0	1013.25	7.5	288.15	2.509186	2.509186	-3.94e-10	-0.000
models.itu676.gamma_exact	223.0	1013.25	7.5	288.15	2.521903	2.521903	1.21e-10	0.000
models.itu676.gamma_exact	224.0	1013.25	7.5	288.15	2.535542	2.535542	4.92e-10	0.000
models.itu676.gamma_exact	225.0	1013.25	7.5	288.15	2.550037	2.550037	-4.50e-10	-0.000
models.itu676.gamma_exact	226.0	1013.25	7.5	288.15	2.565332	2.565332	2.67e-10	0.000
models.itu676.gamma_exact	227.0	1013.25	7.5	288.15	2.581377	2.581377	4.10e-10	0.000
models.itu676.gamma_exact	228.0	1013.25	7.5	288.15	2.598127	2.598127	2.78e-10	0.000
models.itu676.gamma_exact	229.0	1013.25	7.5	288.15	2.615543	2.615543	-3.37e-10	-0.000
models.itu676.gamma_exact	230.0	1013.25	7.5	288.15	2.633589	2.633589	4.63e-10	0.000
models.itu676.gamma_exact	231.0	1013.25	7.5	288.15	2.652236	2.652236	-3.24e-10	-0.000
models.itu676.gamma_exact	232.0	1013.25	7.5	288.15	2.671454	2.671454	4.86e-10	0.000
models.itu676.gamma_exact	233.0	1013.25	7.5	288.15	2.691219	2.691219	-2.53e-10	-0.000
models.itu676.gamma_exact	234.0	1013.25	7.5	288.15	2.711509	2.711509	2.25e-10	0.000
models.itu676.gamma_exact	235.0	1013.25	7.5	288.15	2.732304	2.732304	3.76e-10	0.000
models.itu676.gamma_exact	236.0	1013.25	7.5	288.15	2.753588	2.753588	1.16e-10	0.000
models.itu676.gamma_exact	237.0	1013.25	7.5	288.15	2.775343	2.775343	3.22e-11	0.000
models.itu676.gamma_exact	238.0	1013.25	7.5	288.15	2.797558	2.797558	-4.52e-10	-0.000
models.itu676.gamma_exact	239.0	1013.25	7.5	288.15	2.820219	2.820219	-1.17e-10	-0.000
models.itu676.gamma_exact	240.0	1013.25	7.5	288.15	2.843316	2.843316	2.11e-11	0.000
models.itu676.gamma_exact	241.0	1013.25	7.5	288.15	2.866840	2.866840	4.19e-10	0.000
models.itu676.gamma_exact	242.0	1013.25	7.5	288.15	2.890782	2.890782	-2.46e-10	-0.000
models.itu676.gamma_exact	243.0	1013.25	7.5	288.15	2.915135	2.915135	-3.25e-10	-0.000
models.itu676.gamma_exact	244.0	1013.25	7.5	288.15	2.939894	2.939894	2.11e-10	0.000
models.itu676.gamma_exact	245.0	1013.25	7.5	288.15	2.965054	2.965054	2.56e-10	0.000
models.itu676.gamma_exact	246.0	1013.25	7.5	288.15	2.990610	2.990610	3.24e-10	0.000
models.itu676.gamma_exact	247.0	1013.25	7.5	288.15	3.016559	3.016559	-4.15e-10	-0.000
models.itu676.gamma_exact	248.0	1013.25	7.5	288.15	3.042898	3.042898	5.60e-11	0.000
models.itu676.gamma_exact	249.0	1013.25	7.5	288.15	3.069627	3.069627	-3.56e-10	-0.000
models.itu676.gamma_exact	250.0	1013.25	7.5	288.15	3.096744	3.096744	-3.29e-10	-0.000
models.itu676.gamma_exact	251.0	1013.25	7.5	288.15	3.124248	3.124248	3.68e-10	0.000
models.itu676.gamma_exact	252.0	1013.25	7.5	288.15	3.152141	3.152141	-2.69e-10	-0.000
models.itu676.gamma_exact	253.0	1013.25	7.5	288.15	3.180423	3.180423	8.10e-11	0.000
models.itu676.gamma_exact	254.0	1013.25	7.5	288.15	3.209097	3.209097	-4.40e-10	-0.000
models.itu676.gamma_exact	255.0	1013.25	7.5	288.15	3.238164	3.238164	-2.72e-10	-0.000
models.itu676.gamma_exact	256.0	1013.25	7.5	288.15	3.267628	3.267628	3.82e-10	0.000
models.itu676.gamma_exact	257.0	1013.25	7.5	288.15	3.297492	3.297492	-3.92e-10	-0.000
models.itu676.gamma_exact	258.0	1013.25	7.5	288.15	3.327761	3.327761	6.93e-11	0.000
models.itu676.gamma_exact	259.0	1013.25	7.5	288.15	3.358440	3.358440	4.02e-10	0.000
models.itu676.gamma_exact	260.0	1013.25	7.5	288.15	3.389535	3.389535	-4.13e-10	-0.000
models.itu676.gamma_exact	261.0	1013.25	7.5	288.15	3.421052	3.421052	4.66e-11	0.000
models.itu676.gamma_exact	262.0	1013.25	7.5	288.15	3.452998	3.452998	1.63e-10	0.000
models.itu676.gamma_exact	263.0	1013.25	7.5	288.15	3.485382	3.485382	-1.77e-10	-0.000
models.itu676.gamma_exact	264.0	1013.25	7.5	288.15	3.518213	3.518213	-4.94e-10	-0.000
models.itu676.gamma_exact	265.0	1013.25	7.5	288.15	3.551499	3.551499	3.37e-10	0.000
models.itu676.gamma_exact	266.0	1013.25	7.5	288.15	3.585252	3.585252	3.80e-10	0.000
models.itu676.gamma_exact	267.0	1013.25	7.5	288.15	3.619484	3.619484	3.57e-10	0.000
models.itu676.gamma_exact	268.0	1013.25	7.5	288.15	3.654207	3.654207	-2.07e-10	-0.000
models.itu676.gamma_exact	269.0	1013.25	7.5	288.15	3.689435	3.689435	4.13e-10	0.000
models.itu676.gamma_exact	270.0	1013.25	7.5	288.15	3.725184	3.725184	4.29e-10	0.000
models.itu676.gamma_exact	271.0	1013.25	7.5	288.15	3.761470	3.761470	8.06e-11	0.000
models.itu676.gamma_exact	272.0	1013.25	7.5	288.15	3.798310	3.798310	-4.66e-10	-0.000
models.itu676.gamma_exact	273.0	1013.25	7.5	288.15	3.835725	3.835725	-1.25e-10	-0.000
models.itu676.gamma_exact	274.0	1013.25	7.5	288.15	3.873736	3.873736	-4.56e-10	-0.000
models.itu676.gamma_exact	275.0	1013.25	7.5	288.15	3.912367	3.912367	7.15e-11	0.000
models.itu676.gamma_exact	276.0	1013.25	7.5	288.15	3.951643	3.951643	3.65e-10	0.000
models.itu676.gamma_exact	277.0	1013.25	7.5	288.15	3.991592	3.991592	1.24e-10	0.000
models.itu676.gamma_exact	278.0	1013.25	7.5	288.15	4.032246	4.032246	8.69e-11	0.000
models.itu676.gamma_exact	279.0	1013.25	7.5	288.15	4.073638	4.073638	-2.35e-10	-0.000
models.itu676.gamma_exact	280.0	1013.25	7.5	288.15	4.115805	4.115805	7.53e-11	0.000
models.itu676.gamma_exact	281.0	1013.25	7.5	288.15	4.158790	4.158790	-2.97e-10	-0.000
models.itu676.gamma_exact	282.0	1013.25	7.5	288.15	4.202638	4.202638	1.22e-10	0.000
models.itu676.gamma_exact	283.0	1013.25	7.5	288.15	4.247399	4.247399	-1.71e-10	-0.000
models.itu676.gamma_exact	284.0	1013.25	7.5	288.15	4.293130	4.293130	3.96e-10	0.000
models.itu676.gamma_exact	285.0	1013.25	7.5	288.15	4.339894	4.339894	2.71e-10	0.000
models.itu676.gamma_exact	286.0	1013.25	7.5	288.15	4.387762	4.387762	-3.64e-10	-0.000
models.itu676.gamma_exact	287.0	1013.25	7.5	288.15	4.436812	4.436812	-1.82e-10	-0.000
models.itu676.gamma_exact	288.0	1013.25	7.5	288.15	4.487133	4.487133	3.26e-10	0.000
models.itu676.gamma_exact	289.0	1013.25	7.5	288.15	4.538827	4.538827	1.83e-10	0.000
models.itu676.gamma_exact	290.0	1013.25	7.5	288.15	4.592008	4.592008	9.68e-11	0.000
models.itu676.gamma_exact	291.0	1013.25	7.5	288.15	4.646805	4.646805	3.68e-10	0.000
models.itu676.gamma_exact	292.0	1013.25	7.5	288.15	4.703368	4.703368	7.39e-11	0.000
models.itu676.gamma_exact	293.0	1013.25	7.5	288.15	4.761867	4.761867	4.35e-10	0.000
models.itu676.gamma_exact	294.0	1013.25	7.5	288.15	4.822499	4.822499	7.84e-11	0.000
models.itu676.gamma_exact	295.0	1013.25	7.5	288.15	4.885495	4.885495	1.83e-10	0.000
models.itu676.gamma_exact	296.0	1013.25	7.5	288.15	4.951119	4.951119	-2.10e-10	-0.000
models.itu676.gamma_exact	297.0	1013.25	7.5	288.15	5.019686	5.019686	-1.72e-10	-0.000
models.itu676.gamma_exact	298.0	1013.25	7.5	288.15	5.091564	5.091564	-2.90e-10	-0.000
models.itu676.gamma_exact	299.0	1013.25	7.5	288.15	5.167190	5.167190	-9.81e-12	-0.000
models.itu676.gamma_exact	300.0	1013.25	7.5	288.15	5.247089	5.247089	-3.87e-10	-0.000
models.itu676.gamma_exact	301.0	1013.25	7.5	288.15	5.331888	5.331888	-1.70e-10	-0.000
models.itu676.gamma_exact	302.0	1013.25	7.5	288.15	5.422350	5.422350	-2.41e-10	-0.000
models.itu676.gamma_exact	303.0	1013.25	7.5	288.15	5.519407	5.519407	-4.98e-10	-0.000
models.itu676.gamma_exact	304.0	1013.25	7.5	288.15	5.624209	5.624209	-5.51e-11	-0.000
models.itu676.gamma_exact	305.0	1013.25	7.5	288.15	5.738183	5.738183	-1.26e-10	-0.000
models.itu676.gamma_exact	306.0	1013.25	7.5	288.15	5.863128	5.863128	7.16e-11	0.000
models.itu676.gamma_exact	307.0	1013.25	7.5	288.15	6.001328	6.001328	1.73e-10	0.000
models.itu676.gamma_exact	308.0	1013.25	7.5	288.15	6.155723	6.155723	2.83e-10	0.000
models.itu676.gamma_exact	309.0	1013.25	7.5	288.15	6.330146	6.330146	2.30e-10	0.000
models.itu676.gamma_exact	310.0	1013.25	7.5	288.15	6.529669	6.529669	-2.21e-10	-0.000
models.itu676.gamma_exact	311.0	1013.25	7.5	288.15	6.761108	6.761108	4.60e-10	0.000
models.itu676.gamma_exact	312.0	1013.25	7.5	288.15	7.033795	7.033795	1.90e-10	0.000
models.itu676.gamma_exact	313.0	1013.25	7.5	288.15	7.360752	7.360752	-1.27e-10	-0.000
models.itu676.gamma_exact	314.0	1013.25	7.5	288.15	7.760560	7.760560	-3.14e-10	-0.000
models.itu676.gamma_exact	315.0	1013.25	7.5	288.15	8.260373	8.260373	4.20e-10	0.000
models.itu676.gamma_exact	316.0	1013.25	7.5	288.15	8.900903	8.900903	-4.79e-10	-0.000
models.itu676.gamma_exact	317.0	1013.25	7.5	288.15	9.744688	9.744688	2.60e-10	0.000
models.itu676.gamma_exact	318.0	1013.25	7.5	288.15	10.889185	10.889185	-3.27e-09	-0.000
models.itu676.gamma_exact	319.0	1013.25	7.5	288.15	12.482780	12.482780	-4.83e-10	-0.000
models.itu676.gamma_exact	320.0	1013.25	7.5	288.15	14.723576	14.723576	-2.88e-09	-0.000
models.itu676.gamma_exact	321.0	1013.25	7.5	288.15	17.809242	17.809242	-4.34e-09	-0.000
models.itu676.gamma_exact	322.0	1013.25	7.5	288.15	21.987923	21.987923	3.10e-09	0.000
models.itu676.gamma_exact	323.0	1013.25	7.5	288.15	27.614013	27.614013	-1.58e-09	-0.000
models.itu676.gamma_exact	324.0	1013.25	7.5	288.15	34.010735	34.010735	3.77e-09	0.000
models.itu676.gamma_exact	325.0	1013.25	7.5	288.15	37.892209	37.892209	2.59e-10	0.000
models.itu676.gamma_exact	326.0	1013.25	7.5	288.15	35.935051	35.935051	-3.16e-09	-0.000
models.itu676.gamma_exact	327.0	1013.25	7.5	288.15	29.978411	29.978411	5.21e-09	0.000
models.itu676.gamma_exact	328.0	1013.25	7.5	288.15	23.903133	23.903133	3.35e-09	0.000
models.itu676.gamma_exact	329.0	1013.25	7.5	288.15	19.295446	19.295446	-1.62e-09	-0.000
models.itu676.gamma_exact	330.0	1013.25	7.5	288.15	16.115428	16.115428	5.62e-10	0.000
models.itu676.gamma_exact	331.0	1013.25	7.5	288.15	13.960793	13.960793	2.97e-09	0.000
models.itu676.gamma_exact	332.0	1013.25	7.5	288.15	12.488934	12.488934	4.08e-09	0.000
models.itu676.gamma_exact	333.0	1013.25	7.5	288.15	11.468502	11.468502	1.91e-10	0.000
models.itu676.gamma_exact	334.0	1013.25	7.5	288.15	10.751700	10.751700	-8.71e-10	-0.000
models.itu676.gamma_exact	335.0	1013.25	7.5	288.15	10.243974	10.243974	-4.13e-09	-0.000
models.itu676.gamma_exact	336.0	1013.25	7.5	288.15	9.882698	9.882698	-4.29e-10	-0.000
models.itu676.gamma_exact	337.0	1013.25	7.5	288.15	9.625634	9.625634	1.37e-10	0.000
models.itu676.gamma_exact	338.0	1013.25	7.5	288.15	9.446598	9.446598	2.47e-10	0.000
models.itu676.gamma_exact	339.0	1013.25	7.5	288.15	9.329258	9.329258	5.55e-11	0.000
models.itu676.gamma_exact	340.0	1013.25	7.5	288.15	9.261534	9.261534	-4.24e-10	-0.000
models.itu676.gamma_exact	341.0	1013.25	7.5	288.15	9.234207	9.234207	3.01e-10	0.000
models.itu676.gamma_exact	342.0	1013.25	7.5	288.15	9.240521	9.240521	3.05e-10	0.000
models.itu676.gamma_exact	343.0	1013.25	7.5	288.15	9.275658	9.275658	-3.72e-10	-0.000
models.itu676.gamma_exact	344.0	1013.25	7.5	288.15	9.336250	9.336250	1.72e-10	0.000
models.itu676.gamma_exact	345.0	1013.25	7.5	288.15	9.420030	9.420030	-2.90e-10	-0.000
models.itu676.gamma_exact	346.0	1013.25	7.5	288.15	9.525579	9.525579	-1.13e-12	-0.000
models.itu676.gamma_exact	347.0	1013.25	7.5	288.15	9.652172	9.652172	4.61e-10	0.000
models.itu676.gamma_exact	348.0	1013.25	7.5	288.15	9.799673	9.799673	4.90e-10	0.000
models.itu676.gamma_exact	349.0	1013.25	7.5	288.15	9.968476	9.968476	-3.37e-10	-0.000
models.itu676.gamma_exact	350.0	1013.25	7.5	288.15	10.159479	10.159479	3.44e-09	0.000

Function gamma0_exact ¶

The table below contains the results of testing function gamma0_exact. The test cases were extracted from spreadsheet ITURP676-12_gamma.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
f = 12.0  # (GHz)
P = 1013.25  # (hPA)
rho = 7.5  # (g/cm3)
T = 288.15  # (K)

# Make call to test-function gamma0_exact
itur_val = itur.models.itu676.gamma0_exact(f=f, P=P, rho=rho, T=T)

# Compute error with respect to value in ITU example file
ITU_example_val = 0.008698264  # (dB/km)
error = ITU_example_val - itur_val.value
error_rel = error / ITU_example_val * 100  # (%)

Validation results models.itu676.gamma0_exact

ITU-Rpy Function	f (GHz)	P (hPA)	rho (g/cm3)	T (K)	ITU Validation (dB/km)	ITU-Rpy Result (dB/km)	Absolute Error	Relative Error
models.itu676.gamma0_exact	12.0	1013.25	7.5	288.15	0.008698	0.008698	-6.88e-11	-0.000
models.itu676.gamma0_exact	20.0	1013.25	7.5	288.15	0.011884	0.011884	-4.78e-10	-0.000
models.itu676.gamma0_exact	60.0	1013.25	7.5	288.15	14.623475	14.623475	3.51e-09	0.000
models.itu676.gamma0_exact	90.0	1013.25	7.5	288.15	0.038870	0.038870	-7.24e-11	-0.000
models.itu676.gamma0_exact	130.0	1013.25	7.5	288.15	0.041509	0.041509	4.00e-10	0.000
models.itu676.gamma0_exact	1.0	1013.25	7.5	288.15	0.005389	0.005389	-1.68e-10	-0.000
models.itu676.gamma0_exact	2.0	1013.25	7.5	288.15	0.006716	0.006716	-4.74e-10	-0.000
models.itu676.gamma0_exact	3.0	1013.25	7.5	288.15	0.007076	0.007076	-1.33e-10	-0.000
models.itu676.gamma0_exact	4.0	1013.25	7.5	288.15	0.007259	0.007259	-2.78e-10	-0.000
models.itu676.gamma0_exact	5.0	1013.25	7.5	288.15	0.007400	0.007400	-2.56e-10	-0.000
models.itu676.gamma0_exact	6.0	1013.25	7.5	288.15	0.007537	0.007537	-8.29e-11	-0.000
models.itu676.gamma0_exact	7.0	1013.25	7.5	288.15	0.007683	0.007683	-1.65e-10	-0.000
models.itu676.gamma0_exact	8.0	1013.25	7.5	288.15	0.007844	0.007844	-2.52e-10	-0.000
models.itu676.gamma0_exact	9.0	1013.25	7.5	288.15	0.008023	0.008023	-4.46e-10	-0.000
models.itu676.gamma0_exact	10.0	1013.25	7.5	288.15	0.008224	0.008224	2.97e-10	0.000
models.itu676.gamma0_exact	11.0	1013.25	7.5	288.15	0.008449	0.008449	-3.94e-10	-0.000
models.itu676.gamma0_exact	12.0	1013.25	7.5	288.15	0.008698	0.008698	-6.88e-11	-0.000
models.itu676.gamma0_exact	13.0	1013.25	7.5	288.15	0.008975	0.008975	1.24e-10	0.000
models.itu676.gamma0_exact	14.0	1013.25	7.5	288.15	0.009281	0.009281	3.96e-10	0.000
models.itu676.gamma0_exact	15.0	1013.25	7.5	288.15	0.009619	0.009619	-3.01e-10	-0.000
models.itu676.gamma0_exact	16.0	1013.25	7.5	288.15	0.009991	0.009991	-5.30e-11	-0.000
models.itu676.gamma0_exact	17.0	1013.25	7.5	288.15	0.010400	0.010400	3.53e-10	0.000
models.itu676.gamma0_exact	18.0	1013.25	7.5	288.15	0.010849	0.010849	-3.41e-10	-0.000
models.itu676.gamma0_exact	19.0	1013.25	7.5	288.15	0.011342	0.011342	-4.01e-10	-0.000
models.itu676.gamma0_exact	20.0	1013.25	7.5	288.15	0.011884	0.011884	-4.78e-10	-0.000
models.itu676.gamma0_exact	21.0	1013.25	7.5	288.15	0.012478	0.012478	1.33e-10	0.000
models.itu676.gamma0_exact	22.0	1013.25	7.5	288.15	0.013130	0.013130	3.46e-11	0.000
models.itu676.gamma0_exact	23.0	1013.25	7.5	288.15	0.013847	0.013847	1.44e-10	0.000
models.itu676.gamma0_exact	24.0	1013.25	7.5	288.15	0.014636	0.014636	1.79e-10	0.000
models.itu676.gamma0_exact	25.0	1013.25	7.5	288.15	0.015505	0.015505	1.77e-10	0.000
models.itu676.gamma0_exact	26.0	1013.25	7.5	288.15	0.016463	0.016463	3.86e-10	0.000
models.itu676.gamma0_exact	27.0	1013.25	7.5	288.15	0.017523	0.017523	-4.01e-10	-0.000
models.itu676.gamma0_exact	28.0	1013.25	7.5	288.15	0.018696	0.018696	4.76e-11	0.000
models.itu676.gamma0_exact	29.0	1013.25	7.5	288.15	0.019999	0.019999	-1.10e-10	-0.000
models.itu676.gamma0_exact	30.0	1013.25	7.5	288.15	0.021450	0.021450	-2.40e-10	-0.000
models.itu676.gamma0_exact	31.0	1013.25	7.5	288.15	0.023069	0.023069	1.71e-10	0.000
models.itu676.gamma0_exact	32.0	1013.25	7.5	288.15	0.024884	0.024884	-2.24e-10	-0.000
models.itu676.gamma0_exact	33.0	1013.25	7.5	288.15	0.026925	0.026925	3.04e-10	0.000
models.itu676.gamma0_exact	34.0	1013.25	7.5	288.15	0.029229	0.029229	7.06e-11	0.000
models.itu676.gamma0_exact	35.0	1013.25	7.5	288.15	0.031843	0.031843	1.36e-10	0.000
models.itu676.gamma0_exact	36.0	1013.25	7.5	288.15	0.034823	0.034823	1.43e-11	0.000
models.itu676.gamma0_exact	37.0	1013.25	7.5	288.15	0.038239	0.038239	-2.90e-10	-0.000
models.itu676.gamma0_exact	38.0	1013.25	7.5	288.15	0.042180	0.042180	-4.91e-10	-0.000
models.itu676.gamma0_exact	39.0	1013.25	7.5	288.15	0.046758	0.046758	4.58e-11	0.000
models.itu676.gamma0_exact	40.0	1013.25	7.5	288.15	0.052117	0.052117	6.41e-11	0.000
models.itu676.gamma0_exact	41.0	1013.25	7.5	288.15	0.058445	0.058445	-1.02e-10	-0.000
models.itu676.gamma0_exact	42.0	1013.25	7.5	288.15	0.065994	0.065994	-1.75e-10	-0.000
models.itu676.gamma0_exact	43.0	1013.25	7.5	288.15	0.075103	0.075103	-4.57e-10	-0.000
models.itu676.gamma0_exact	44.0	1013.25	7.5	288.15	0.086242	0.086242	5.34e-11	0.000
models.itu676.gamma0_exact	45.0	1013.25	7.5	288.15	0.100081	0.100081	-1.54e-10	-0.000
models.itu676.gamma0_exact	46.0	1013.25	7.5	288.15	0.117605	0.117605	2.27e-10	0.000
models.itu676.gamma0_exact	47.0	1013.25	7.5	288.15	0.140330	0.140330	-3.76e-10	-0.000
models.itu676.gamma0_exact	48.0	1013.25	7.5	288.15	0.170720	0.170720	1.56e-10	0.000
models.itu676.gamma0_exact	49.0	1013.25	7.5	288.15	0.213175	0.213175	1.36e-11	0.000
models.itu676.gamma0_exact	50.0	1013.25	7.5	288.15	0.277269	0.277269	4.69e-10	0.000
models.itu676.gamma0_exact	51.0	1013.25	7.5	288.15	0.389671	0.389671	-7.01e-11	-0.000
models.itu676.gamma0_exact	52.0	1013.25	7.5	288.15	0.618430	0.618430	3.45e-10	0.000
models.itu676.gamma0_exact	53.0	1013.25	7.5	288.15	1.126612	1.126612	1.46e-11	0.000
models.itu676.gamma0_exact	54.0	1013.25	7.5	288.15	2.211542	2.211542	-3.72e-10	-0.000
models.itu676.gamma0_exact	55.0	1013.25	7.5	288.15	4.193282	4.193282	6.19e-12	0.000
models.itu676.gamma0_exact	56.0	1013.25	7.5	288.15	7.055044	7.055044	1.49e-10	0.000
models.itu676.gamma0_exact	57.0	1013.25	7.5	288.15	10.065238	10.065238	-2.14e-09	-0.000
models.itu676.gamma0_exact	58.0	1013.25	7.5	288.15	12.353147	12.353147	-1.29e-09	-0.000
models.itu676.gamma0_exact	59.0	1013.25	7.5	288.15	13.635296	13.635296	-4.04e-09	-0.000
models.itu676.gamma0_exact	60.0	1013.25	7.5	288.15	14.623475	14.623475	3.51e-09	0.000
models.itu676.gamma0_exact	61.0	1013.25	7.5	288.15	15.007159	15.007159	4.00e-09	0.000
models.itu676.gamma0_exact	62.0	1013.25	7.5	288.15	13.996211	13.996211	-2.27e-09	-0.000
models.itu676.gamma0_exact	63.0	1013.25	7.5	288.15	10.831088	10.831088	-1.43e-09	-0.000
models.itu676.gamma0_exact	64.0	1013.25	7.5	288.15	6.844589	6.844589	-4.91e-10	-0.000
models.itu676.gamma0_exact	65.0	1013.25	7.5	288.15	3.808804	3.808804	-3.44e-10	-0.000
models.itu676.gamma0_exact	66.0	1013.25	7.5	288.15	1.966618	1.966618	2.29e-10	0.000
models.itu676.gamma0_exact	67.0	1013.25	7.5	288.15	1.033389	1.033389	-6.65e-11	-0.000
models.itu676.gamma0_exact	68.0	1013.25	7.5	288.15	0.605466	0.605466	4.26e-10	0.000
models.itu676.gamma0_exact	69.0	1013.25	7.5	288.15	0.406986	0.406986	-1.98e-10	-0.000
models.itu676.gamma0_exact	70.0	1013.25	7.5	288.15	0.304105	0.304105	-1.47e-10	-0.000
models.itu676.gamma0_exact	71.0	1013.25	7.5	288.15	0.241601	0.241601	-1.64e-11	-0.000
models.itu676.gamma0_exact	72.0	1013.25	7.5	288.15	0.198532	0.198532	3.84e-10	0.000
models.itu676.gamma0_exact	73.0	1013.25	7.5	288.15	0.167046	0.167046	3.21e-10	0.000
models.itu676.gamma0_exact	74.0	1013.25	7.5	288.15	0.143142	0.143142	-4.86e-10	-0.000
models.itu676.gamma0_exact	75.0	1013.25	7.5	288.15	0.124485	0.124485	4.08e-12	0.000
models.itu676.gamma0_exact	76.0	1013.25	7.5	288.15	0.109604	0.109604	4.89e-10	0.000
models.itu676.gamma0_exact	77.0	1013.25	7.5	288.15	0.097526	0.097526	3.75e-10	0.000
models.itu676.gamma0_exact	78.0	1013.25	7.5	288.15	0.087579	0.087579	-4.72e-10	-0.000
models.itu676.gamma0_exact	79.0	1013.25	7.5	288.15	0.079289	0.079289	-3.24e-10	-0.000
models.itu676.gamma0_exact	80.0	1013.25	7.5	288.15	0.072307	0.072307	-3.27e-10	-0.000
models.itu676.gamma0_exact	81.0	1013.25	7.5	288.15	0.066378	0.066378	-3.25e-10	-0.000
models.itu676.gamma0_exact	82.0	1013.25	7.5	288.15	0.061305	0.061305	3.09e-10	0.000
models.itu676.gamma0_exact	83.0	1013.25	7.5	288.15	0.056939	0.056939	-1.84e-10	-0.000
models.itu676.gamma0_exact	84.0	1013.25	7.5	288.15	0.053163	0.053163	-1.40e-10	-0.000
models.itu676.gamma0_exact	85.0	1013.25	7.5	288.15	0.049886	0.049886	3.78e-10	0.000
models.itu676.gamma0_exact	86.0	1013.25	7.5	288.15	0.047033	0.047033	3.41e-10	0.000
models.itu676.gamma0_exact	87.0	1013.25	7.5	288.15	0.044547	0.044547	2.33e-10	0.000
models.itu676.gamma0_exact	88.0	1013.25	7.5	288.15	0.042382	0.042382	-4.06e-10	-0.000
models.itu676.gamma0_exact	89.0	1013.25	7.5	288.15	0.040500	0.040500	3.08e-10	0.000
models.itu676.gamma0_exact	90.0	1013.25	7.5	288.15	0.038870	0.038870	-7.24e-11	-0.000
models.itu676.gamma0_exact	91.0	1013.25	7.5	288.15	0.037469	0.037469	2.13e-10	0.000
models.itu676.gamma0_exact	92.0	1013.25	7.5	288.15	0.036279	0.036279	-3.94e-10	-0.000
models.itu676.gamma0_exact	93.0	1013.25	7.5	288.15	0.035286	0.035286	4.99e-11	0.000
models.itu676.gamma0_exact	94.0	1013.25	7.5	288.15	0.034481	0.034481	-5.00e-11	-0.000
models.itu676.gamma0_exact	95.0	1013.25	7.5	288.15	0.033858	0.033858	4.01e-10	0.000
models.itu676.gamma0_exact	96.0	1013.25	7.5	288.15	0.033418	0.033418	1.96e-10	0.000
models.itu676.gamma0_exact	97.0	1013.25	7.5	288.15	0.033163	0.033163	-1.08e-12	-0.000
models.itu676.gamma0_exact	98.0	1013.25	7.5	288.15	0.033102	0.033102	-3.81e-10	-0.000
models.itu676.gamma0_exact	99.0	1013.25	7.5	288.15	0.033249	0.033249	-1.05e-10	-0.000
models.itu676.gamma0_exact	100.0	1013.25	7.5	288.15	0.033625	0.033625	-7.81e-11	-0.000
models.itu676.gamma0_exact	101.0	1013.25	7.5	288.15	0.034262	0.034262	-2.89e-10	-0.000
models.itu676.gamma0_exact	102.0	1013.25	7.5	288.15	0.035201	0.035201	-4.37e-10	-0.000
models.itu676.gamma0_exact	103.0	1013.25	7.5	288.15	0.036499	0.036499	-2.76e-10	-0.000
models.itu676.gamma0_exact	104.0	1013.25	7.5	288.15	0.038238	0.038238	-4.76e-11	-0.000
models.itu676.gamma0_exact	105.0	1013.25	7.5	288.15	0.040527	0.040527	-3.01e-10	-0.000
models.itu676.gamma0_exact	106.0	1013.25	7.5	288.15	0.043524	0.043524	2.19e-10	0.000
models.itu676.gamma0_exact	107.0	1013.25	7.5	288.15	0.047453	0.047453	-9.53e-11	-0.000
models.itu676.gamma0_exact	108.0	1013.25	7.5	288.15	0.052644	0.052644	9.67e-11	0.000
models.itu676.gamma0_exact	109.0	1013.25	7.5	288.15	0.059596	0.059596	4.41e-10	0.000
models.itu676.gamma0_exact	110.0	1013.25	7.5	288.15	0.069088	0.069088	-2.25e-10	-0.000
models.itu676.gamma0_exact	111.0	1013.25	7.5	288.15	0.082387	0.082387	-2.34e-10	-0.000
models.itu676.gamma0_exact	112.0	1013.25	7.5	288.15	0.101655	0.101655	-2.43e-10	-0.000
models.itu676.gamma0_exact	113.0	1013.25	7.5	288.15	0.130787	0.130787	-9.19e-12	-0.000
models.itu676.gamma0_exact	114.0	1013.25	7.5	288.15	0.177281	0.177281	-2.16e-10	-0.000
models.itu676.gamma0_exact	115.0	1013.25	7.5	288.15	0.256608	0.256608	1.28e-10	0.000
models.itu676.gamma0_exact	116.0	1013.25	7.5	288.15	0.402454	0.402454	-1.58e-10	-0.000
models.itu676.gamma0_exact	117.0	1013.25	7.5	288.15	0.683016	0.683016	3.01e-10	0.000
models.itu676.gamma0_exact	118.0	1013.25	7.5	288.15	1.134866	1.134866	1.29e-10	0.000
models.itu676.gamma0_exact	119.0	1013.25	7.5	288.15	1.306379	1.306379	2.15e-10	0.000
models.itu676.gamma0_exact	120.0	1013.25	7.5	288.15	0.886109	0.886109	5.60e-12	0.000
models.itu676.gamma0_exact	121.0	1013.25	7.5	288.15	0.509172	0.509172	3.69e-10	0.000
models.itu676.gamma0_exact	122.0	1013.25	7.5	288.15	0.307769	0.307769	-3.83e-10	-0.000
models.itu676.gamma0_exact	123.0	1013.25	7.5	288.15	0.202101	0.202101	-2.01e-10	-0.000
models.itu676.gamma0_exact	124.0	1013.25	7.5	288.15	0.142570	0.142570	-5.33e-11	-0.000
models.itu676.gamma0_exact	125.0	1013.25	7.5	288.15	0.106446	0.106446	-3.96e-10	-0.000
models.itu676.gamma0_exact	126.0	1013.25	7.5	288.15	0.083104	0.083104	2.67e-10	0.000
models.itu676.gamma0_exact	127.0	1013.25	7.5	288.15	0.067232	0.067232	-4.38e-10	-0.000
models.itu676.gamma0_exact	128.0	1013.25	7.5	288.15	0.055982	0.055982	-2.29e-10	-0.000
models.itu676.gamma0_exact	129.0	1013.25	7.5	288.15	0.047732	0.047732	-4.15e-10	-0.000
models.itu676.gamma0_exact	130.0	1013.25	7.5	288.15	0.041509	0.041509	4.00e-10	0.000
models.itu676.gamma0_exact	131.0	1013.25	7.5	288.15	0.036702	0.036702	-2.17e-11	-0.000
models.itu676.gamma0_exact	132.0	1013.25	7.5	288.15	0.032912	0.032912	-6.43e-11	-0.000
models.itu676.gamma0_exact	133.0	1013.25	7.5	288.15	0.029873	0.029873	2.67e-10	0.000
models.itu676.gamma0_exact	134.0	1013.25	7.5	288.15	0.027400	0.027400	1.83e-10	0.000
models.itu676.gamma0_exact	135.0	1013.25	7.5	288.15	0.025359	0.025359	-1.72e-10	-0.000
models.itu676.gamma0_exact	136.0	1013.25	7.5	288.15	0.023658	0.023658	-1.46e-10	-0.000
models.itu676.gamma0_exact	137.0	1013.25	7.5	288.15	0.022224	0.022224	3.75e-10	0.000
models.itu676.gamma0_exact	138.0	1013.25	7.5	288.15	0.021005	0.021005	8.12e-11	0.000
models.itu676.gamma0_exact	139.0	1013.25	7.5	288.15	0.019961	0.019961	-4.96e-10	-0.000
models.itu676.gamma0_exact	140.0	1013.25	7.5	288.15	0.019060	0.019060	2.75e-10	0.000
models.itu676.gamma0_exact	141.0	1013.25	7.5	288.15	0.018278	0.018278	1.62e-10	0.000
models.itu676.gamma0_exact	142.0	1013.25	7.5	288.15	0.017596	0.017596	1.66e-10	0.000
models.itu676.gamma0_exact	143.0	1013.25	7.5	288.15	0.016998	0.016998	-3.73e-10	-0.000
models.itu676.gamma0_exact	144.0	1013.25	7.5	288.15	0.016471	0.016471	-3.81e-10	-0.000
models.itu676.gamma0_exact	145.0	1013.25	7.5	288.15	0.016006	0.016006	-4.46e-10	-0.000
models.itu676.gamma0_exact	146.0	1013.25	7.5	288.15	0.015593	0.015593	3.39e-10	0.000
models.itu676.gamma0_exact	147.0	1013.25	7.5	288.15	0.015226	0.015226	2.54e-10	0.000
models.itu676.gamma0_exact	148.0	1013.25	7.5	288.15	0.014900	0.014900	2.64e-10	0.000
models.itu676.gamma0_exact	149.0	1013.25	7.5	288.15	0.014608	0.014608	2.97e-10	0.000
models.itu676.gamma0_exact	150.0	1013.25	7.5	288.15	0.014347	0.014347	-2.74e-10	-0.000
models.itu676.gamma0_exact	151.0	1013.25	7.5	288.15	0.014113	0.014113	-1.57e-10	-0.000
models.itu676.gamma0_exact	152.0	1013.25	7.5	288.15	0.013904	0.013904	5.37e-11	0.000
models.itu676.gamma0_exact	153.0	1013.25	7.5	288.15	0.013717	0.013717	2.29e-10	0.000
models.itu676.gamma0_exact	154.0	1013.25	7.5	288.15	0.013550	0.013550	7.46e-11	0.000
models.itu676.gamma0_exact	155.0	1013.25	7.5	288.15	0.013400	0.013400	1.89e-10	0.000
models.itu676.gamma0_exact	156.0	1013.25	7.5	288.15	0.013266	0.013266	-3.84e-10	-0.000
models.itu676.gamma0_exact	157.0	1013.25	7.5	288.15	0.013146	0.013146	3.91e-11	0.000
models.itu676.gamma0_exact	158.0	1013.25	7.5	288.15	0.013040	0.013040	3.00e-10	0.000
models.itu676.gamma0_exact	159.0	1013.25	7.5	288.15	0.012946	0.012946	-4.64e-10	-0.000
models.itu676.gamma0_exact	160.0	1013.25	7.5	288.15	0.012863	0.012863	-3.19e-11	-0.000
models.itu676.gamma0_exact	161.0	1013.25	7.5	288.15	0.012790	0.012790	1.45e-10	0.000
models.itu676.gamma0_exact	162.0	1013.25	7.5	288.15	0.012726	0.012726	2.91e-10	0.000
models.itu676.gamma0_exact	163.0	1013.25	7.5	288.15	0.012671	0.012671	2.71e-10	0.000
models.itu676.gamma0_exact	164.0	1013.25	7.5	288.15	0.012624	0.012624	-4.16e-10	-0.000
models.itu676.gamma0_exact	165.0	1013.25	7.5	288.15	0.012585	0.012585	-2.65e-10	-0.000
models.itu676.gamma0_exact	166.0	1013.25	7.5	288.15	0.012552	0.012552	2.31e-10	0.000
models.itu676.gamma0_exact	167.0	1013.25	7.5	288.15	0.012526	0.012526	4.50e-10	0.000
models.itu676.gamma0_exact	168.0	1013.25	7.5	288.15	0.012506	0.012506	-4.50e-10	-0.000
models.itu676.gamma0_exact	169.0	1013.25	7.5	288.15	0.012492	0.012492	-4.30e-10	-0.000
models.itu676.gamma0_exact	170.0	1013.25	7.5	288.15	0.012483	0.012483	-1.51e-10	-0.000
models.itu676.gamma0_exact	171.0	1013.25	7.5	288.15	0.012479	0.012479	-1.31e-10	-0.000
models.itu676.gamma0_exact	172.0	1013.25	7.5	288.15	0.012479	0.012479	-4.00e-10	-0.000
models.itu676.gamma0_exact	173.0	1013.25	7.5	288.15	0.012484	0.012484	4.23e-10	0.000
models.itu676.gamma0_exact	174.0	1013.25	7.5	288.15	0.012493	0.012493	-3.06e-10	-0.000
models.itu676.gamma0_exact	175.0	1013.25	7.5	288.15	0.012507	0.012507	-5.33e-12	-0.000
models.itu676.gamma0_exact	176.0	1013.25	7.5	288.15	0.012524	0.012524	1.12e-10	0.000
models.itu676.gamma0_exact	177.0	1013.25	7.5	288.15	0.012544	0.012544	-2.07e-10	-0.000
models.itu676.gamma0_exact	178.0	1013.25	7.5	288.15	0.012568	0.012568	2.89e-10	0.000
models.itu676.gamma0_exact	179.0	1013.25	7.5	288.15	0.012595	0.012595	-2.68e-10	-0.000
models.itu676.gamma0_exact	180.0	1013.25	7.5	288.15	0.012626	0.012626	3.54e-10	0.000
models.itu676.gamma0_exact	181.0	1013.25	7.5	288.15	0.012659	0.012659	-4.23e-10	-0.000
models.itu676.gamma0_exact	182.0	1013.25	7.5	288.15	0.012695	0.012695	-2.21e-11	-0.000
models.itu676.gamma0_exact	183.0	1013.25	7.5	288.15	0.012734	0.012734	1.64e-10	0.000
models.itu676.gamma0_exact	184.0	1013.25	7.5	288.15	0.012775	0.012775	-4.54e-10	-0.000
models.itu676.gamma0_exact	185.0	1013.25	7.5	288.15	0.012819	0.012819	3.75e-11	0.000
models.itu676.gamma0_exact	186.0	1013.25	7.5	288.15	0.012866	0.012866	-3.17e-10	-0.000
models.itu676.gamma0_exact	187.0	1013.25	7.5	288.15	0.012914	0.012914	2.26e-10	0.000
models.itu676.gamma0_exact	188.0	1013.25	7.5	288.15	0.012965	0.012965	-3.86e-10	-0.000
models.itu676.gamma0_exact	189.0	1013.25	7.5	288.15	0.013018	0.013018	4.68e-10	0.000
models.itu676.gamma0_exact	190.0	1013.25	7.5	288.15	0.013073	0.013073	4.93e-10	0.000
models.itu676.gamma0_exact	191.0	1013.25	7.5	288.15	0.013130	0.013130	-1.38e-10	-0.000
models.itu676.gamma0_exact	192.0	1013.25	7.5	288.15	0.013189	0.013189	-4.40e-10	-0.000
models.itu676.gamma0_exact	193.0	1013.25	7.5	288.15	0.013250	0.013250	-3.07e-10	-0.000
models.itu676.gamma0_exact	194.0	1013.25	7.5	288.15	0.013312	0.013312	-2.21e-10	-0.000
models.itu676.gamma0_exact	195.0	1013.25	7.5	288.15	0.013377	0.013377	2.33e-12	0.000
models.itu676.gamma0_exact	196.0	1013.25	7.5	288.15	0.013443	0.013443	4.57e-10	0.000
models.itu676.gamma0_exact	197.0	1013.25	7.5	288.15	0.013511	0.013511	3.61e-10	0.000
models.itu676.gamma0_exact	198.0	1013.25	7.5	288.15	0.013580	0.013580	2.54e-10	0.000
models.itu676.gamma0_exact	199.0	1013.25	7.5	288.15	0.013651	0.013651	1.83e-10	0.000
models.itu676.gamma0_exact	200.0	1013.25	7.5	288.15	0.013724	0.013724	-1.33e-10	-0.000
models.itu676.gamma0_exact	201.0	1013.25	7.5	288.15	0.013798	0.013798	-1.45e-10	-0.000
models.itu676.gamma0_exact	202.0	1013.25	7.5	288.15	0.013873	0.013873	-3.38e-10	-0.000
models.itu676.gamma0_exact	203.0	1013.25	7.5	288.15	0.013950	0.013950	-9.59e-11	-0.000
models.itu676.gamma0_exact	204.0	1013.25	7.5	288.15	0.014028	0.014028	4.18e-10	0.000
models.itu676.gamma0_exact	205.0	1013.25	7.5	288.15	0.014107	0.014107	3.71e-10	0.000
models.itu676.gamma0_exact	206.0	1013.25	7.5	288.15	0.014188	0.014188	3.64e-10	0.000
models.itu676.gamma0_exact	207.0	1013.25	7.5	288.15	0.014270	0.014270	-4.75e-10	-0.000
models.itu676.gamma0_exact	208.0	1013.25	7.5	288.15	0.014354	0.014354	-3.98e-10	-0.000
models.itu676.gamma0_exact	209.0	1013.25	7.5	288.15	0.014438	0.014438	3.90e-11	0.000
models.itu676.gamma0_exact	210.0	1013.25	7.5	288.15	0.014524	0.014524	5.38e-11	0.000
models.itu676.gamma0_exact	211.0	1013.25	7.5	288.15	0.014611	0.014611	-2.91e-10	-0.000
models.itu676.gamma0_exact	212.0	1013.25	7.5	288.15	0.014699	0.014699	-2.47e-11	-0.000
models.itu676.gamma0_exact	213.0	1013.25	7.5	288.15	0.014789	0.014789	-2.06e-10	-0.000
models.itu676.gamma0_exact	214.0	1013.25	7.5	288.15	0.014879	0.014879	1.33e-10	0.000
models.itu676.gamma0_exact	215.0	1013.25	7.5	288.15	0.014970	0.014970	3.83e-11	0.000
models.itu676.gamma0_exact	216.0	1013.25	7.5	288.15	0.015063	0.015063	-3.17e-10	-0.000
models.itu676.gamma0_exact	217.0	1013.25	7.5	288.15	0.015157	0.015157	4.16e-10	0.000
models.itu676.gamma0_exact	218.0	1013.25	7.5	288.15	0.015251	0.015251	-2.00e-10	-0.000
models.itu676.gamma0_exact	219.0	1013.25	7.5	288.15	0.015347	0.015347	-3.46e-10	-0.000
models.itu676.gamma0_exact	220.0	1013.25	7.5	288.15	0.015444	0.015444	9.23e-11	0.000
models.itu676.gamma0_exact	221.0	1013.25	7.5	288.15	0.015541	0.015541	-4.45e-10	-0.000
models.itu676.gamma0_exact	222.0	1013.25	7.5	288.15	0.015640	0.015640	-1.57e-10	-0.000
models.itu676.gamma0_exact	223.0	1013.25	7.5	288.15	0.015740	0.015740	1.49e-10	0.000
models.itu676.gamma0_exact	224.0	1013.25	7.5	288.15	0.015840	0.015840	8.53e-11	0.000
models.itu676.gamma0_exact	225.0	1013.25	7.5	288.15	0.015942	0.015942	-2.90e-10	-0.000
models.itu676.gamma0_exact	226.0	1013.25	7.5	288.15	0.016044	0.016044	-4.48e-10	-0.000
models.itu676.gamma0_exact	227.0	1013.25	7.5	288.15	0.016147	0.016147	-3.64e-10	-0.000
models.itu676.gamma0_exact	228.0	1013.25	7.5	288.15	0.016252	0.016252	-4.97e-10	-0.000
models.itu676.gamma0_exact	229.0	1013.25	7.5	288.15	0.016357	0.016357	2.32e-10	0.000
models.itu676.gamma0_exact	230.0	1013.25	7.5	288.15	0.016463	0.016463	4.57e-10	0.000
models.itu676.gamma0_exact	231.0	1013.25	7.5	288.15	0.016570	0.016570	3.89e-10	0.000
models.itu676.gamma0_exact	232.0	1013.25	7.5	288.15	0.016677	0.016677	-1.70e-10	-0.000
models.itu676.gamma0_exact	233.0	1013.25	7.5	288.15	0.016786	0.016786	1.89e-10	0.000
models.itu676.gamma0_exact	234.0	1013.25	7.5	288.15	0.016895	0.016895	4.99e-10	0.000
models.itu676.gamma0_exact	235.0	1013.25	7.5	288.15	0.017006	0.017006	4.30e-10	0.000
models.itu676.gamma0_exact	236.0	1013.25	7.5	288.15	0.017117	0.017117	3.00e-10	0.000
models.itu676.gamma0_exact	237.0	1013.25	7.5	288.15	0.017228	0.017228	9.10e-11	0.000
models.itu676.gamma0_exact	238.0	1013.25	7.5	288.15	0.017341	0.017341	4.59e-10	0.000
models.itu676.gamma0_exact	239.0	1013.25	7.5	288.15	0.017455	0.017455	-2.57e-10	-0.000
models.itu676.gamma0_exact	240.0	1013.25	7.5	288.15	0.017569	0.017569	-2.29e-11	-0.000
models.itu676.gamma0_exact	241.0	1013.25	7.5	288.15	0.017684	0.017684	-1.00e-10	-0.000
models.itu676.gamma0_exact	242.0	1013.25	7.5	288.15	0.017800	0.017800	-3.80e-11	-0.000
models.itu676.gamma0_exact	243.0	1013.25	7.5	288.15	0.017916	0.017916	3.34e-10	0.000
models.itu676.gamma0_exact	244.0	1013.25	7.5	288.15	0.018034	0.018034	-8.39e-11	-0.000
models.itu676.gamma0_exact	245.0	1013.25	7.5	288.15	0.018152	0.018152	3.42e-10	0.000
models.itu676.gamma0_exact	246.0	1013.25	7.5	288.15	0.018271	0.018271	-1.20e-11	-0.000
models.itu676.gamma0_exact	247.0	1013.25	7.5	288.15	0.018390	0.018390	-2.32e-11	-0.000
models.itu676.gamma0_exact	248.0	1013.25	7.5	288.15	0.018511	0.018511	1.84e-10	0.000
models.itu676.gamma0_exact	249.0	1013.25	7.5	288.15	0.018632	0.018632	2.44e-10	0.000
models.itu676.gamma0_exact	250.0	1013.25	7.5	288.15	0.018754	0.018754	-4.50e-10	-0.000
models.itu676.gamma0_exact	251.0	1013.25	7.5	288.15	0.018876	0.018876	2.64e-10	0.000
models.itu676.gamma0_exact	252.0	1013.25	7.5	288.15	0.019000	0.019000	3.15e-10	0.000
models.itu676.gamma0_exact	253.0	1013.25	7.5	288.15	0.019124	0.019124	4.06e-10	0.000
models.itu676.gamma0_exact	254.0	1013.25	7.5	288.15	0.019249	0.019249	1.31e-11	0.000
models.itu676.gamma0_exact	255.0	1013.25	7.5	288.15	0.019374	0.019374	3.89e-10	0.000
models.itu676.gamma0_exact	256.0	1013.25	7.5	288.15	0.019500	0.019500	-4.33e-10	-0.000
models.itu676.gamma0_exact	257.0	1013.25	7.5	288.15	0.019627	0.019627	3.58e-10	0.000
models.itu676.gamma0_exact	258.0	1013.25	7.5	288.15	0.019755	0.019755	3.53e-10	0.000
models.itu676.gamma0_exact	259.0	1013.25	7.5	288.15	0.019883	0.019883	-7.52e-11	-0.000
models.itu676.gamma0_exact	260.0	1013.25	7.5	288.15	0.020012	0.020012	2.27e-10	0.000
models.itu676.gamma0_exact	261.0	1013.25	7.5	288.15	0.020142	0.020142	1.93e-10	0.000
models.itu676.gamma0_exact	262.0	1013.25	7.5	288.15	0.020273	0.020273	-4.65e-10	-0.000
models.itu676.gamma0_exact	263.0	1013.25	7.5	288.15	0.020404	0.020404	-2.57e-10	-0.000
models.itu676.gamma0_exact	264.0	1013.25	7.5	288.15	0.020536	0.020536	8.07e-11	0.000
models.itu676.gamma0_exact	265.0	1013.25	7.5	288.15	0.020668	0.020668	-4.12e-10	-0.000
models.itu676.gamma0_exact	266.0	1013.25	7.5	288.15	0.020801	0.020801	7.32e-11	0.000
models.itu676.gamma0_exact	267.0	1013.25	7.5	288.15	0.020935	0.020935	1.11e-10	0.000
models.itu676.gamma0_exact	268.0	1013.25	7.5	288.15	0.021070	0.021070	3.87e-11	0.000
models.itu676.gamma0_exact	269.0	1013.25	7.5	288.15	0.021205	0.021205	-4.82e-11	-0.000
models.itu676.gamma0_exact	270.0	1013.25	7.5	288.15	0.021341	0.021341	-3.02e-10	-0.000
models.itu676.gamma0_exact	271.0	1013.25	7.5	288.15	0.021478	0.021478	-1.28e-10	-0.000
models.itu676.gamma0_exact	272.0	1013.25	7.5	288.15	0.021615	0.021615	-1.93e-10	-0.000
models.itu676.gamma0_exact	273.0	1013.25	7.5	288.15	0.021754	0.021754	-4.28e-10	-0.000
models.itu676.gamma0_exact	274.0	1013.25	7.5	288.15	0.021892	0.021892	-4.17e-11	-0.000
models.itu676.gamma0_exact	275.0	1013.25	7.5	288.15	0.022032	0.022032	4.73e-10	0.000
models.itu676.gamma0_exact	276.0	1013.25	7.5	288.15	0.022172	0.022172	3.30e-10	0.000
models.itu676.gamma0_exact	277.0	1013.25	7.5	288.15	0.022313	0.022313	4.40e-10	0.000
models.itu676.gamma0_exact	278.0	1013.25	7.5	288.15	0.022455	0.022455	3.95e-10	0.000
models.itu676.gamma0_exact	279.0	1013.25	7.5	288.15	0.022597	0.022597	4.60e-10	0.000
models.itu676.gamma0_exact	280.0	1013.25	7.5	288.15	0.022740	0.022740	-4.44e-10	-0.000
models.itu676.gamma0_exact	281.0	1013.25	7.5	288.15	0.022884	0.022884	2.50e-10	0.000
models.itu676.gamma0_exact	282.0	1013.25	7.5	288.15	0.023028	0.023028	-2.69e-10	-0.000
models.itu676.gamma0_exact	283.0	1013.25	7.5	288.15	0.023174	0.023174	-2.01e-10	-0.000
models.itu676.gamma0_exact	284.0	1013.25	7.5	288.15	0.023319	0.023319	-1.58e-10	-0.000
models.itu676.gamma0_exact	285.0	1013.25	7.5	288.15	0.023466	0.023466	-1.83e-10	-0.000
models.itu676.gamma0_exact	286.0	1013.25	7.5	288.15	0.023614	0.023614	2.28e-10	0.000
models.itu676.gamma0_exact	287.0	1013.25	7.5	288.15	0.023762	0.023762	9.60e-11	0.000
models.itu676.gamma0_exact	288.0	1013.25	7.5	288.15	0.023911	0.023911	-5.99e-11	-0.000
models.itu676.gamma0_exact	289.0	1013.25	7.5	288.15	0.024060	0.024060	-2.58e-10	-0.000
models.itu676.gamma0_exact	290.0	1013.25	7.5	288.15	0.024211	0.024211	-8.18e-11	-0.000
models.itu676.gamma0_exact	291.0	1013.25	7.5	288.15	0.024362	0.024362	2.82e-10	0.000
models.itu676.gamma0_exact	292.0	1013.25	7.5	288.15	0.024514	0.024514	8.49e-12	0.000
models.itu676.gamma0_exact	293.0	1013.25	7.5	288.15	0.024667	0.024667	-4.07e-10	-0.000
models.itu676.gamma0_exact	294.0	1013.25	7.5	288.15	0.024820	0.024820	-1.94e-10	-0.000
models.itu676.gamma0_exact	295.0	1013.25	7.5	288.15	0.024975	0.024975	-3.58e-10	-0.000
models.itu676.gamma0_exact	296.0	1013.25	7.5	288.15	0.025130	0.025130	2.73e-10	0.000
models.itu676.gamma0_exact	297.0	1013.25	7.5	288.15	0.025286	0.025286	-2.06e-11	-0.000
models.itu676.gamma0_exact	298.0	1013.25	7.5	288.15	0.025443	0.025443	9.65e-11	0.000
models.itu676.gamma0_exact	299.0	1013.25	7.5	288.15	0.025601	0.025601	-6.27e-11	-0.000
models.itu676.gamma0_exact	300.0	1013.25	7.5	288.15	0.025760	0.025760	-2.82e-10	-0.000
models.itu676.gamma0_exact	301.0	1013.25	7.5	288.15	0.025919	0.025919	4.73e-10	0.000
models.itu676.gamma0_exact	302.0	1013.25	7.5	288.15	0.026080	0.026080	-4.02e-11	-0.000
models.itu676.gamma0_exact	303.0	1013.25	7.5	288.15	0.026241	0.026241	-4.41e-10	-0.000
models.itu676.gamma0_exact	304.0	1013.25	7.5	288.15	0.026403	0.026403	1.59e-10	0.000
models.itu676.gamma0_exact	305.0	1013.25	7.5	288.15	0.026567	0.026567	2.86e-11	0.000
models.itu676.gamma0_exact	306.0	1013.25	7.5	288.15	0.026731	0.026731	-3.21e-10	-0.000
models.itu676.gamma0_exact	307.0	1013.25	7.5	288.15	0.026897	0.026897	-2.89e-10	-0.000
models.itu676.gamma0_exact	308.0	1013.25	7.5	288.15	0.027063	0.027063	-3.60e-10	-0.000
models.itu676.gamma0_exact	309.0	1013.25	7.5	288.15	0.027231	0.027231	-2.96e-10	-0.000
models.itu676.gamma0_exact	310.0	1013.25	7.5	288.15	0.027399	0.027399	-3.46e-10	-0.000
models.itu676.gamma0_exact	311.0	1013.25	7.5	288.15	0.027569	0.027569	-4.87e-10	-0.000
models.itu676.gamma0_exact	312.0	1013.25	7.5	288.15	0.027740	0.027740	3.05e-10	0.000
models.itu676.gamma0_exact	313.0	1013.25	7.5	288.15	0.027913	0.027913	-2.39e-10	-0.000
models.itu676.gamma0_exact	314.0	1013.25	7.5	288.15	0.028086	0.028086	-2.38e-11	-0.000
models.itu676.gamma0_exact	315.0	1013.25	7.5	288.15	0.028261	0.028261	2.95e-11	0.000
models.itu676.gamma0_exact	316.0	1013.25	7.5	288.15	0.028437	0.028437	-4.45e-10	-0.000
models.itu676.gamma0_exact	317.0	1013.25	7.5	288.15	0.028615	0.028615	2.53e-10	0.000
models.itu676.gamma0_exact	318.0	1013.25	7.5	288.15	0.028795	0.028795	3.35e-10	0.000
models.itu676.gamma0_exact	319.0	1013.25	7.5	288.15	0.028975	0.028975	-1.08e-10	-0.000
models.itu676.gamma0_exact	320.0	1013.25	7.5	288.15	0.029158	0.029158	1.76e-10	0.000
models.itu676.gamma0_exact	321.0	1013.25	7.5	288.15	0.029342	0.029342	-2.26e-10	-0.000
models.itu676.gamma0_exact	322.0	1013.25	7.5	288.15	0.029528	0.029528	-3.42e-10	-0.000
models.itu676.gamma0_exact	323.0	1013.25	7.5	288.15	0.029716	0.029716	9.63e-11	0.000
models.itu676.gamma0_exact	324.0	1013.25	7.5	288.15	0.029907	0.029907	3.89e-10	0.000
models.itu676.gamma0_exact	325.0	1013.25	7.5	288.15	0.030099	0.030099	4.06e-10	0.000
models.itu676.gamma0_exact	326.0	1013.25	7.5	288.15	0.030294	0.030294	-1.14e-10	-0.000
models.itu676.gamma0_exact	327.0	1013.25	7.5	288.15	0.030491	0.030491	4.47e-10	0.000
models.itu676.gamma0_exact	328.0	1013.25	7.5	288.15	0.030691	0.030691	2.57e-10	0.000
models.itu676.gamma0_exact	329.0	1013.25	7.5	288.15	0.030893	0.030893	2.97e-10	0.000
models.itu676.gamma0_exact	330.0	1013.25	7.5	288.15	0.031099	0.031099	1.19e-10	0.000
models.itu676.gamma0_exact	331.0	1013.25	7.5	288.15	0.031308	0.031308	4.33e-12	0.000
models.itu676.gamma0_exact	332.0	1013.25	7.5	288.15	0.031521	0.031521	3.89e-10	0.000
models.itu676.gamma0_exact	333.0	1013.25	7.5	288.15	0.031738	0.031738	3.79e-10	0.000
models.itu676.gamma0_exact	334.0	1013.25	7.5	288.15	0.031958	0.031958	1.55e-10	0.000
models.itu676.gamma0_exact	335.0	1013.25	7.5	288.15	0.032184	0.032184	-1.20e-11	-0.000
models.itu676.gamma0_exact	336.0	1013.25	7.5	288.15	0.032415	0.032415	-4.58e-10	-0.000
models.itu676.gamma0_exact	337.0	1013.25	7.5	288.15	0.032652	0.032652	-6.69e-12	-0.000
models.itu676.gamma0_exact	338.0	1013.25	7.5	288.15	0.032895	0.032895	4.23e-10	0.000
models.itu676.gamma0_exact	339.0	1013.25	7.5	288.15	0.033145	0.033145	-2.88e-10	-0.000
models.itu676.gamma0_exact	340.0	1013.25	7.5	288.15	0.033403	0.033403	-3.78e-11	-0.000
models.itu676.gamma0_exact	341.0	1013.25	7.5	288.15	0.033670	0.033670	1.26e-10	0.000
models.itu676.gamma0_exact	342.0	1013.25	7.5	288.15	0.033948	0.033948	8.57e-11	0.000
models.itu676.gamma0_exact	343.0	1013.25	7.5	288.15	0.034237	0.034237	-2.13e-10	-0.000
models.itu676.gamma0_exact	344.0	1013.25	7.5	288.15	0.034540	0.034540	1.61e-10	0.000
models.itu676.gamma0_exact	345.0	1013.25	7.5	288.15	0.034859	0.034859	2.94e-10	0.000
models.itu676.gamma0_exact	346.0	1013.25	7.5	288.15	0.035196	0.035196	4.89e-10	0.000
models.itu676.gamma0_exact	347.0	1013.25	7.5	288.15	0.035555	0.035555	1.91e-10	0.000
models.itu676.gamma0_exact	348.0	1013.25	7.5	288.15	0.035939	0.035939	-2.64e-10	-0.000
models.itu676.gamma0_exact	349.0	1013.25	7.5	288.15	0.036354	0.036354	-8.97e-11	-0.000
models.itu676.gamma0_exact	350.0	1013.25	7.5	288.15	0.036806	0.036806	-5.05e-11	-0.000

Function gammaw_exact ¶

The table below contains the results of testing function gammaw_exact. The test cases were extracted from spreadsheet ITURP676-12_gamma.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
f = 12.0  # (GHz)
P = 1013.25  # (hPA)
rho = 7.5  # (g/cm3)
T = 288.15  # (K)

# Make call to test-function gammaw_exact
itur_val = itur.models.itu676.gammaw_exact(f=f, P=P, rho=rho, T=T)

# Compute error with respect to value in ITU example file
ITU_example_val = 0.009535388  # (dB/km)
error = ITU_example_val - itur_val.value
error_rel = error / ITU_example_val * 100  # (%)

Validation results models.itu676.gammaw_exact

ITU-Rpy Function	f (GHz)	P (hPA)	rho (g/cm3)	T (K)	ITU Validation (dB/km)	ITU-Rpy Result (dB/km)	Absolute Error	Relative Error
models.itu676.gammaw_exact	12.0	1013.25	7.5	288.15	0.009535	0.009535	-2.20e-10	-0.000
models.itu676.gammaw_exact	20.0	1013.25	7.5	288.15	0.097047	0.097047	1.85e-10	0.000
models.itu676.gammaw_exact	60.0	1013.25	7.5	288.15	0.154842	0.154842	3.64e-10	0.000
models.itu676.gammaw_exact	90.0	1013.25	7.5	288.15	0.341973	0.341973	-4.22e-10	-0.000
models.itu676.gammaw_exact	130.0	1013.25	7.5	288.15	0.751845	0.751845	3.54e-10	0.000
models.itu676.gammaw_exact	1.0	1013.25	7.5	288.15	0.000051	0.000051	-4.62e-09	-0.009
models.itu676.gammaw_exact	2.0	1013.25	7.5	288.15	0.000204	0.000204	-3.79e-10	-0.000
models.itu676.gammaw_exact	3.0	1013.25	7.5	288.15	0.000463	0.000463	1.44e-10	0.000
models.itu676.gammaw_exact	4.0	1013.25	7.5	288.15	0.000830	0.000830	7.72e-11	0.000
models.itu676.gammaw_exact	5.0	1013.25	7.5	288.15	0.001313	0.001313	7.88e-11	0.000
models.itu676.gammaw_exact	6.0	1013.25	7.5	288.15	0.001922	0.001922	1.96e-10	0.000
models.itu676.gammaw_exact	7.0	1013.25	7.5	288.15	0.002668	0.002668	-4.93e-10	-0.000
models.itu676.gammaw_exact	8.0	1013.25	7.5	288.15	0.003572	0.003572	-4.72e-11	-0.000
models.itu676.gammaw_exact	9.0	1013.25	7.5	288.15	0.004661	0.004661	2.64e-10	0.000
models.itu676.gammaw_exact	10.0	1013.25	7.5	288.15	0.005974	0.005974	-2.45e-10	-0.000
models.itu676.gammaw_exact	11.0	1013.25	7.5	288.15	0.007570	0.007570	2.70e-10	0.000
models.itu676.gammaw_exact	12.0	1013.25	7.5	288.15	0.009535	0.009535	-2.20e-10	-0.000
models.itu676.gammaw_exact	13.0	1013.25	7.5	288.15	0.012005	0.012005	-2.26e-10	-0.000
models.itu676.gammaw_exact	14.0	1013.25	7.5	288.15	0.015192	0.015192	4.73e-10	0.000
models.itu676.gammaw_exact	15.0	1013.25	7.5	288.15	0.019439	0.019439	2.42e-10	0.000
models.itu676.gammaw_exact	16.0	1013.25	7.5	288.15	0.025325	0.025325	-4.09e-11	-0.000
models.itu676.gammaw_exact	17.0	1013.25	7.5	288.15	0.033835	0.033835	-4.35e-10	-0.000
models.itu676.gammaw_exact	18.0	1013.25	7.5	288.15	0.046664	0.046664	4.61e-10	0.000
models.itu676.gammaw_exact	19.0	1013.25	7.5	288.15	0.066575	0.066575	2.14e-10	0.000
models.itu676.gammaw_exact	20.0	1013.25	7.5	288.15	0.097047	0.097047	1.85e-10	0.000
models.itu676.gammaw_exact	21.0	1013.25	7.5	288.15	0.137954	0.137954	6.13e-11	0.000
models.itu676.gammaw_exact	22.0	1013.25	7.5	288.15	0.174207	0.174207	-3.37e-10	-0.000
models.itu676.gammaw_exact	23.0	1013.25	7.5	288.15	0.180442	0.180442	-9.96e-11	-0.000
models.itu676.gammaw_exact	24.0	1013.25	7.5	288.15	0.158525	0.158525	-3.25e-10	-0.000
models.itu676.gammaw_exact	25.0	1013.25	7.5	288.15	0.130730	0.130730	2.96e-11	0.000
models.itu676.gammaw_exact	26.0	1013.25	7.5	288.15	0.108565	0.108565	-2.54e-10	-0.000
models.itu676.gammaw_exact	27.0	1013.25	7.5	288.15	0.093212	0.093212	1.43e-10	0.000
models.itu676.gammaw_exact	28.0	1013.25	7.5	288.15	0.083060	0.083060	-2.54e-10	-0.000
models.itu676.gammaw_exact	29.0	1013.25	7.5	288.15	0.076494	0.076494	4.35e-10	0.000
models.itu676.gammaw_exact	30.0	1013.25	7.5	288.15	0.072375	0.072375	-2.52e-11	-0.000
models.itu676.gammaw_exact	31.0	1013.25	7.5	288.15	0.069951	0.069951	-3.56e-10	-0.000
models.itu676.gammaw_exact	32.0	1013.25	7.5	288.15	0.068735	0.068735	-1.86e-11	-0.000
models.itu676.gammaw_exact	33.0	1013.25	7.5	288.15	0.068407	0.068407	2.34e-10	0.000
models.itu676.gammaw_exact	34.0	1013.25	7.5	288.15	0.068749	0.068749	-2.64e-10	-0.000
models.itu676.gammaw_exact	35.0	1013.25	7.5	288.15	0.069614	0.069614	3.75e-10	0.000
models.itu676.gammaw_exact	36.0	1013.25	7.5	288.15	0.070897	0.070897	4.40e-10	0.000
models.itu676.gammaw_exact	37.0	1013.25	7.5	288.15	0.072522	0.072522	-4.26e-10	-0.000
models.itu676.gammaw_exact	38.0	1013.25	7.5	288.15	0.074435	0.074435	-3.44e-10	-0.000
models.itu676.gammaw_exact	39.0	1013.25	7.5	288.15	0.076594	0.076594	1.88e-10	0.000
models.itu676.gammaw_exact	40.0	1013.25	7.5	288.15	0.078969	0.078969	2.16e-10	0.000
models.itu676.gammaw_exact	41.0	1013.25	7.5	288.15	0.081535	0.081535	3.69e-10	0.000
models.itu676.gammaw_exact	42.0	1013.25	7.5	288.15	0.084275	0.084275	-4.94e-10	-0.000
models.itu676.gammaw_exact	43.0	1013.25	7.5	288.15	0.087173	0.087173	4.52e-10	0.000
models.itu676.gammaw_exact	44.0	1013.25	7.5	288.15	0.090218	0.090218	7.22e-11	0.000
models.itu676.gammaw_exact	45.0	1013.25	7.5	288.15	0.093400	0.093400	-4.64e-10	-0.000
models.itu676.gammaw_exact	46.0	1013.25	7.5	288.15	0.096713	0.096713	-4.14e-10	-0.000
models.itu676.gammaw_exact	47.0	1013.25	7.5	288.15	0.100150	0.100150	-1.40e-10	-0.000
models.itu676.gammaw_exact	48.0	1013.25	7.5	288.15	0.103705	0.103705	3.53e-10	0.000
models.itu676.gammaw_exact	49.0	1013.25	7.5	288.15	0.107376	0.107376	-2.13e-10	-0.000
models.itu676.gammaw_exact	50.0	1013.25	7.5	288.15	0.111159	0.111159	-2.70e-10	-0.000
models.itu676.gammaw_exact	51.0	1013.25	7.5	288.15	0.115050	0.115050	-3.23e-10	-0.000
models.itu676.gammaw_exact	52.0	1013.25	7.5	288.15	0.119049	0.119049	-1.74e-10	-0.000
models.itu676.gammaw_exact	53.0	1013.25	7.5	288.15	0.123153	0.123153	4.02e-10	0.000
models.itu676.gammaw_exact	54.0	1013.25	7.5	288.15	0.127362	0.127362	2.51e-10	0.000
models.itu676.gammaw_exact	55.0	1013.25	7.5	288.15	0.131674	0.131674	3.02e-10	0.000
models.itu676.gammaw_exact	56.0	1013.25	7.5	288.15	0.136092	0.136092	-1.08e-10	-0.000
models.itu676.gammaw_exact	57.0	1013.25	7.5	288.15	0.140614	0.140614	-2.54e-10	-0.000
models.itu676.gammaw_exact	58.0	1013.25	7.5	288.15	0.145243	0.145243	-4.27e-10	-0.000
models.itu676.gammaw_exact	59.0	1013.25	7.5	288.15	0.149984	0.149984	-6.93e-11	-0.000
models.itu676.gammaw_exact	60.0	1013.25	7.5	288.15	0.154842	0.154842	3.64e-10	0.000
models.itu676.gammaw_exact	61.0	1013.25	7.5	288.15	0.159827	0.159827	-3.12e-10	-0.000
models.itu676.gammaw_exact	62.0	1013.25	7.5	288.15	0.164956	0.164956	-1.69e-10	-0.000
models.itu676.gammaw_exact	63.0	1013.25	7.5	288.15	0.170255	0.170255	4.55e-10	0.000
models.itu676.gammaw_exact	64.0	1013.25	7.5	288.15	0.175765	0.175765	4.22e-10	0.000
models.itu676.gammaw_exact	65.0	1013.25	7.5	288.15	0.181535	0.181535	2.23e-10	0.000
models.itu676.gammaw_exact	66.0	1013.25	7.5	288.15	0.187578	0.187578	-1.55e-10	-0.000
models.itu676.gammaw_exact	67.0	1013.25	7.5	288.15	0.193727	0.193727	-4.67e-10	-0.000
models.itu676.gammaw_exact	68.0	1013.25	7.5	288.15	0.199555	0.199555	-2.42e-10	-0.000
models.itu676.gammaw_exact	69.0	1013.25	7.5	288.15	0.204833	0.204833	-2.56e-10	-0.000
models.itu676.gammaw_exact	70.0	1013.25	7.5	288.15	0.209888	0.209888	-3.64e-10	-0.000
models.itu676.gammaw_exact	71.0	1013.25	7.5	288.15	0.215079	0.215079	-3.48e-10	-0.000
models.itu676.gammaw_exact	72.0	1013.25	7.5	288.15	0.220517	0.220517	-7.24e-11	-0.000
models.itu676.gammaw_exact	73.0	1013.25	7.5	288.15	0.226186	0.226186	-4.90e-10	-0.000
models.itu676.gammaw_exact	74.0	1013.25	7.5	288.15	0.232047	0.232047	7.45e-11	0.000
models.itu676.gammaw_exact	75.0	1013.25	7.5	288.15	0.238069	0.238069	7.76e-11	0.000
models.itu676.gammaw_exact	76.0	1013.25	7.5	288.15	0.244231	0.244231	-7.08e-11	-0.000
models.itu676.gammaw_exact	77.0	1013.25	7.5	288.15	0.250518	0.250518	3.58e-10	0.000
models.itu676.gammaw_exact	78.0	1013.25	7.5	288.15	0.256922	0.256922	-6.14e-12	-0.000
models.itu676.gammaw_exact	79.0	1013.25	7.5	288.15	0.263437	0.263437	2.05e-10	0.000
models.itu676.gammaw_exact	80.0	1013.25	7.5	288.15	0.270060	0.270060	4.24e-10	0.000
models.itu676.gammaw_exact	81.0	1013.25	7.5	288.15	0.276788	0.276788	1.85e-10	0.000
models.itu676.gammaw_exact	82.0	1013.25	7.5	288.15	0.283621	0.283621	-4.21e-10	-0.000
models.itu676.gammaw_exact	83.0	1013.25	7.5	288.15	0.290556	0.290556	-2.26e-10	-0.000
models.itu676.gammaw_exact	84.0	1013.25	7.5	288.15	0.297593	0.297593	2.57e-10	0.000
models.itu676.gammaw_exact	85.0	1013.25	7.5	288.15	0.304733	0.304733	1.28e-10	0.000
models.itu676.gammaw_exact	86.0	1013.25	7.5	288.15	0.311975	0.311975	-1.26e-10	-0.000
models.itu676.gammaw_exact	87.0	1013.25	7.5	288.15	0.319320	0.319320	2.86e-10	0.000
models.itu676.gammaw_exact	88.0	1013.25	7.5	288.15	0.326767	0.326767	4.60e-12	0.000
models.itu676.gammaw_exact	89.0	1013.25	7.5	288.15	0.334318	0.334318	2.17e-11	0.000
models.itu676.gammaw_exact	90.0	1013.25	7.5	288.15	0.341973	0.341973	-4.22e-10	-0.000
models.itu676.gammaw_exact	91.0	1013.25	7.5	288.15	0.349733	0.349733	-3.33e-10	-0.000
models.itu676.gammaw_exact	92.0	1013.25	7.5	288.15	0.357598	0.357598	-3.94e-10	-0.000
models.itu676.gammaw_exact	93.0	1013.25	7.5	288.15	0.365570	0.365570	-3.87e-10	-0.000
models.itu676.gammaw_exact	94.0	1013.25	7.5	288.15	0.373648	0.373648	1.10e-11	0.000
models.itu676.gammaw_exact	95.0	1013.25	7.5	288.15	0.381835	0.381835	4.09e-10	0.000
models.itu676.gammaw_exact	96.0	1013.25	7.5	288.15	0.390131	0.390131	5.12e-11	0.000
models.itu676.gammaw_exact	97.0	1013.25	7.5	288.15	0.398538	0.398538	3.53e-10	0.000
models.itu676.gammaw_exact	98.0	1013.25	7.5	288.15	0.407056	0.407056	4.96e-10	0.000
models.itu676.gammaw_exact	99.0	1013.25	7.5	288.15	0.415687	0.415687	-2.06e-10	-0.000
models.itu676.gammaw_exact	100.0	1013.25	7.5	288.15	0.424434	0.424434	3.27e-10	0.000
models.itu676.gammaw_exact	101.0	1013.25	7.5	288.15	0.433296	0.433296	6.22e-11	0.000
models.itu676.gammaw_exact	102.0	1013.25	7.5	288.15	0.442276	0.442276	2.72e-10	0.000
models.itu676.gammaw_exact	103.0	1013.25	7.5	288.15	0.451376	0.451376	4.62e-10	0.000
models.itu676.gammaw_exact	104.0	1013.25	7.5	288.15	0.460599	0.460599	5.67e-11	0.000
models.itu676.gammaw_exact	105.0	1013.25	7.5	288.15	0.469945	0.469945	-3.83e-10	-0.000
models.itu676.gammaw_exact	106.0	1013.25	7.5	288.15	0.479419	0.479419	-5.01e-11	-0.000
models.itu676.gammaw_exact	107.0	1013.25	7.5	288.15	0.489024	0.489024	4.91e-10	0.000
models.itu676.gammaw_exact	108.0	1013.25	7.5	288.15	0.498762	0.498762	-3.38e-10	-0.000
models.itu676.gammaw_exact	109.0	1013.25	7.5	288.15	0.508640	0.508640	-4.67e-10	-0.000
models.itu676.gammaw_exact	110.0	1013.25	7.5	288.15	0.518661	0.518661	4.78e-10	0.000
models.itu676.gammaw_exact	111.0	1013.25	7.5	288.15	0.528835	0.528835	-2.82e-10	-0.000
models.itu676.gammaw_exact	112.0	1013.25	7.5	288.15	0.539170	0.539170	4.53e-11	0.000
models.itu676.gammaw_exact	113.0	1013.25	7.5	288.15	0.549681	0.549681	1.80e-10	0.000
models.itu676.gammaw_exact	114.0	1013.25	7.5	288.15	0.560388	0.560388	2.29e-10	0.000
models.itu676.gammaw_exact	115.0	1013.25	7.5	288.15	0.571322	0.571322	4.10e-10	0.000
models.itu676.gammaw_exact	116.0	1013.25	7.5	288.15	0.582526	0.582526	-3.57e-10	-0.000
models.itu676.gammaw_exact	117.0	1013.25	7.5	288.15	0.594053	0.594053	-2.83e-11	-0.000
models.itu676.gammaw_exact	118.0	1013.25	7.5	288.15	0.605922	0.605922	4.06e-10	0.000
models.itu676.gammaw_exact	119.0	1013.25	7.5	288.15	0.617993	0.617993	5.33e-11	0.000
models.itu676.gammaw_exact	120.0	1013.25	7.5	288.15	0.629861	0.629861	7.98e-11	0.000
models.itu676.gammaw_exact	121.0	1013.25	7.5	288.15	0.641222	0.641222	-3.07e-10	-0.000
models.itu676.gammaw_exact	122.0	1013.25	7.5	288.15	0.652345	0.652345	6.55e-11	0.000
models.itu676.gammaw_exact	123.0	1013.25	7.5	288.15	0.663647	0.663647	1.99e-10	0.000
models.itu676.gammaw_exact	124.0	1013.25	7.5	288.15	0.675301	0.675301	-3.65e-10	-0.000
models.itu676.gammaw_exact	125.0	1013.25	7.5	288.15	0.687313	0.687313	-4.22e-10	-0.000
models.itu676.gammaw_exact	126.0	1013.25	7.5	288.15	0.699649	0.699649	-3.95e-10	-0.000
models.itu676.gammaw_exact	127.0	1013.25	7.5	288.15	0.712282	0.712282	4.27e-10	0.000
models.itu676.gammaw_exact	128.0	1013.25	7.5	288.15	0.725196	0.725196	3.58e-10	0.000
models.itu676.gammaw_exact	129.0	1013.25	7.5	288.15	0.738383	0.738383	1.72e-10	0.000
models.itu676.gammaw_exact	130.0	1013.25	7.5	288.15	0.751845	0.751845	3.54e-10	0.000
models.itu676.gammaw_exact	131.0	1013.25	7.5	288.15	0.765585	0.765585	2.65e-10	0.000
models.itu676.gammaw_exact	132.0	1013.25	7.5	288.15	0.779613	0.779613	1.24e-10	0.000
models.itu676.gammaw_exact	133.0	1013.25	7.5	288.15	0.793940	0.793940	-4.15e-10	-0.000
models.itu676.gammaw_exact	134.0	1013.25	7.5	288.15	0.808581	0.808581	3.94e-10	0.000
models.itu676.gammaw_exact	135.0	1013.25	7.5	288.15	0.823553	0.823553	-2.68e-10	-0.000
models.itu676.gammaw_exact	136.0	1013.25	7.5	288.15	0.838874	0.838874	-1.93e-10	-0.000
models.itu676.gammaw_exact	137.0	1013.25	7.5	288.15	0.854566	0.854566	-2.96e-10	-0.000
models.itu676.gammaw_exact	138.0	1013.25	7.5	288.15	0.870653	0.870653	1.26e-10	0.000
models.itu676.gammaw_exact	139.0	1013.25	7.5	288.15	0.887164	0.887164	-4.46e-10	-0.000
models.itu676.gammaw_exact	140.0	1013.25	7.5	288.15	0.904129	0.904129	3.74e-10	0.000
models.itu676.gammaw_exact	141.0	1013.25	7.5	288.15	0.921583	0.921583	-2.84e-10	-0.000
models.itu676.gammaw_exact	142.0	1013.25	7.5	288.15	0.939565	0.939565	-1.83e-11	-0.000
models.itu676.gammaw_exact	143.0	1013.25	7.5	288.15	0.958119	0.958119	-3.78e-10	-0.000
models.itu676.gammaw_exact	144.0	1013.25	7.5	288.15	0.977295	0.977295	4.40e-11	0.000
models.itu676.gammaw_exact	145.0	1013.25	7.5	288.15	0.997150	0.997150	2.56e-10	0.000
models.itu676.gammaw_exact	146.0	1013.25	7.5	288.15	1.017749	1.017749	-4.84e-10	-0.000
models.itu676.gammaw_exact	147.0	1013.25	7.5	288.15	1.039164	1.039164	4.42e-10	0.000
models.itu676.gammaw_exact	148.0	1013.25	7.5	288.15	1.061480	1.061480	1.75e-10	0.000
models.itu676.gammaw_exact	149.0	1013.25	7.5	288.15	1.084794	1.084794	-4.40e-10	-0.000
models.itu676.gammaw_exact	150.0	1013.25	7.5	288.15	1.109218	1.109218	7.61e-11	0.000
models.itu676.gammaw_exact	151.0	1013.25	7.5	288.15	1.134879	1.134879	-1.31e-11	-0.000
models.itu676.gammaw_exact	152.0	1013.25	7.5	288.15	1.161928	1.161928	3.59e-10	0.000
models.itu676.gammaw_exact	153.0	1013.25	7.5	288.15	1.190540	1.190540	-2.91e-10	-0.000
models.itu676.gammaw_exact	154.0	1013.25	7.5	288.15	1.220920	1.220920	-2.04e-10	-0.000
models.itu676.gammaw_exact	155.0	1013.25	7.5	288.15	1.253309	1.253309	-1.63e-10	-0.000
models.itu676.gammaw_exact	156.0	1013.25	7.5	288.15	1.287995	1.287995	4.17e-10	0.000
models.itu676.gammaw_exact	157.0	1013.25	7.5	288.15	1.325319	1.325319	7.23e-11	0.000
models.itu676.gammaw_exact	158.0	1013.25	7.5	288.15	1.365690	1.365690	-1.20e-10	-0.000
models.itu676.gammaw_exact	159.0	1013.25	7.5	288.15	1.409602	1.409602	-2.34e-10	-0.000
models.itu676.gammaw_exact	160.0	1013.25	7.5	288.15	1.457655	1.457655	1.63e-11	0.000
models.itu676.gammaw_exact	161.0	1013.25	7.5	288.15	1.510584	1.510584	1.88e-10	0.000
models.itu676.gammaw_exact	162.0	1013.25	7.5	288.15	1.569294	1.569294	-4.93e-10	-0.000
models.itu676.gammaw_exact	163.0	1013.25	7.5	288.15	1.634915	1.634915	1.21e-11	0.000
models.itu676.gammaw_exact	164.0	1013.25	7.5	288.15	1.708862	1.708862	2.32e-10	0.000
models.itu676.gammaw_exact	165.0	1013.25	7.5	288.15	1.792933	1.792933	-5.35e-11	-0.000
models.itu676.gammaw_exact	166.0	1013.25	7.5	288.15	1.889435	1.889435	-1.80e-10	-0.000
models.itu676.gammaw_exact	167.0	1013.25	7.5	288.15	2.001362	2.001362	-7.31e-11	-0.000
models.itu676.gammaw_exact	168.0	1013.25	7.5	288.15	2.132651	2.132651	-4.20e-10	-0.000
models.itu676.gammaw_exact	169.0	1013.25	7.5	288.15	2.288555	2.288555	-2.68e-10	-0.000
models.itu676.gammaw_exact	170.0	1013.25	7.5	288.15	2.476195	2.476195	6.14e-11	0.000
models.itu676.gammaw_exact	171.0	1013.25	7.5	288.15	2.705381	2.705381	-3.20e-10	-0.000
models.itu676.gammaw_exact	172.0	1013.25	7.5	288.15	2.989890	2.989890	4.12e-10	0.000
models.itu676.gammaw_exact	173.0	1013.25	7.5	288.15	3.349462	3.349462	2.25e-10	0.000
models.itu676.gammaw_exact	174.0	1013.25	7.5	288.15	3.812987	3.812987	4.21e-10	0.000
models.itu676.gammaw_exact	175.0	1013.25	7.5	288.15	4.423707	4.423707	8.91e-11	0.000
models.itu676.gammaw_exact	176.0	1013.25	7.5	288.15	5.247745	5.247745	4.84e-10	0.000
models.itu676.gammaw_exact	177.0	1013.25	7.5	288.15	6.387977	6.387977	-2.37e-10	-0.000
models.itu676.gammaw_exact	178.0	1013.25	7.5	288.15	8.005218	8.005218	-1.66e-10	-0.000
models.itu676.gammaw_exact	179.0	1013.25	7.5	288.15	10.343578	10.343578	5.71e-11	0.000
models.itu676.gammaw_exact	180.0	1013.25	7.5	288.15	13.728458	13.728458	-4.43e-09	-0.000
models.itu676.gammaw_exact	181.0	1013.25	7.5	288.15	18.399102	18.399102	-5.25e-10	-0.000
models.itu676.gammaw_exact	182.0	1013.25	7.5	288.15	23.830459	23.830459	2.78e-09	0.000
models.itu676.gammaw_exact	183.0	1013.25	7.5	288.15	27.665008	27.665008	-4.17e-09	-0.000
models.itu676.gammaw_exact	184.0	1013.25	7.5	288.15	27.024838	27.024838	-4.47e-09	-0.000
models.itu676.gammaw_exact	185.0	1013.25	7.5	288.15	22.603713	22.603713	2.25e-09	0.000
models.itu676.gammaw_exact	186.0	1013.25	7.5	288.15	17.480866	17.480866	2.32e-09	0.000
models.itu676.gammaw_exact	187.0	1013.25	7.5	288.15	13.340008	13.340008	3.99e-09	0.000
models.itu676.gammaw_exact	188.0	1013.25	7.5	288.15	10.372561	10.372561	-5.48e-11	-0.000
models.itu676.gammaw_exact	189.0	1013.25	7.5	288.15	8.306314	8.306314	2.15e-10	0.000
models.itu676.gammaw_exact	190.0	1013.25	7.5	288.15	6.858142	6.858142	-3.79e-10	-0.000
models.itu676.gammaw_exact	191.0	1013.25	7.5	288.15	5.823870	5.823870	-2.31e-10	-0.000
models.itu676.gammaw_exact	192.0	1013.25	7.5	288.15	5.068900	5.068900	-3.02e-11	-0.000
models.itu676.gammaw_exact	193.0	1013.25	7.5	288.15	4.506007	4.506007	-1.51e-10	-0.000
models.itu676.gammaw_exact	194.0	1013.25	7.5	288.15	4.078184	4.078184	-8.23e-11	-0.000
models.itu676.gammaw_exact	195.0	1013.25	7.5	288.15	3.747495	3.747495	-4.54e-10	-0.000
models.itu676.gammaw_exact	196.0	1013.25	7.5	288.15	3.488154	3.488154	-4.79e-10	-0.000
models.itu676.gammaw_exact	197.0	1013.25	7.5	288.15	3.282257	3.282257	4.74e-10	0.000
models.itu676.gammaw_exact	198.0	1013.25	7.5	288.15	3.117111	3.117111	-2.60e-10	-0.000
models.itu676.gammaw_exact	199.0	1013.25	7.5	288.15	2.983548	2.983548	-2.23e-10	-0.000
models.itu676.gammaw_exact	200.0	1013.25	7.5	288.15	2.874824	2.874824	8.12e-11	0.000
models.itu676.gammaw_exact	201.0	1013.25	7.5	288.15	2.785901	2.785901	3.81e-10	0.000
models.itu676.gammaw_exact	202.0	1013.25	7.5	288.15	2.712953	2.712953	-1.21e-10	-0.000
models.itu676.gammaw_exact	203.0	1013.25	7.5	288.15	2.653040	2.653040	-1.88e-10	-0.000
models.itu676.gammaw_exact	204.0	1013.25	7.5	288.15	2.603874	2.603874	4.56e-10	0.000
models.itu676.gammaw_exact	205.0	1013.25	7.5	288.15	2.563651	2.563651	-1.71e-11	-0.000
models.itu676.gammaw_exact	206.0	1013.25	7.5	288.15	2.530936	2.530936	4.55e-10	0.000
models.itu676.gammaw_exact	207.0	1013.25	7.5	288.15	2.504575	2.504575	2.43e-10	0.000
models.itu676.gammaw_exact	208.0	1013.25	7.5	288.15	2.483635	2.483635	2.58e-11	0.000
models.itu676.gammaw_exact	209.0	1013.25	7.5	288.15	2.467350	2.467350	-4.26e-10	-0.000
models.itu676.gammaw_exact	210.0	1013.25	7.5	288.15	2.455091	2.455091	-2.25e-10	-0.000
models.itu676.gammaw_exact	211.0	1013.25	7.5	288.15	2.446336	2.446336	2.47e-10	0.000
models.itu676.gammaw_exact	212.0	1013.25	7.5	288.15	2.440648	2.440648	4.97e-10	0.000
models.itu676.gammaw_exact	213.0	1013.25	7.5	288.15	2.437662	2.437662	2.95e-10	0.000
models.itu676.gammaw_exact	214.0	1013.25	7.5	288.15	2.437068	2.437068	-4.04e-10	-0.000
models.itu676.gammaw_exact	215.0	1013.25	7.5	288.15	2.438603	2.438603	-2.70e-10	-0.000
models.itu676.gammaw_exact	216.0	1013.25	7.5	288.15	2.442042	2.442042	2.94e-10	0.000
models.itu676.gammaw_exact	217.0	1013.25	7.5	288.15	2.447193	2.447193	1.67e-10	0.000
models.itu676.gammaw_exact	218.0	1013.25	7.5	288.15	2.453891	2.453891	7.04e-11	0.000
models.itu676.gammaw_exact	219.0	1013.25	7.5	288.15	2.461991	2.461991	-3.51e-10	-0.000
models.itu676.gammaw_exact	220.0	1013.25	7.5	288.15	2.471371	2.471371	4.15e-10	0.000
models.itu676.gammaw_exact	221.0	1013.25	7.5	288.15	2.481920	2.481920	1.09e-10	0.000
models.itu676.gammaw_exact	222.0	1013.25	7.5	288.15	2.493546	2.493546	-2.36e-10	-0.000
models.itu676.gammaw_exact	223.0	1013.25	7.5	288.15	2.506164	2.506164	-2.80e-11	-0.000
models.itu676.gammaw_exact	224.0	1013.25	7.5	288.15	2.519702	2.519702	4.07e-10	0.000
models.itu676.gammaw_exact	225.0	1013.25	7.5	288.15	2.534095	2.534095	-1.60e-10	-0.000
models.itu676.gammaw_exact	226.0	1013.25	7.5	288.15	2.549288	2.549288	-2.85e-10	-0.000
models.itu676.gammaw_exact	227.0	1013.25	7.5	288.15	2.565229	2.565229	-2.27e-10	-0.000
models.itu676.gammaw_exact	228.0	1013.25	7.5	288.15	2.581875	2.581875	-2.25e-10	-0.000
models.itu676.gammaw_exact	229.0	1013.25	7.5	288.15	2.599186	2.599186	4.31e-10	0.000
models.itu676.gammaw_exact	230.0	1013.25	7.5	288.15	2.617127	2.617127	5.74e-12	0.000
models.itu676.gammaw_exact	231.0	1013.25	7.5	288.15	2.635666	2.635666	2.87e-10	0.000
models.itu676.gammaw_exact	232.0	1013.25	7.5	288.15	2.654776	2.654776	-3.44e-10	-0.000
models.itu676.gammaw_exact	233.0	1013.25	7.5	288.15	2.674433	2.674433	-4.42e-10	-0.000
models.itu676.gammaw_exact	234.0	1013.25	7.5	288.15	2.694613	2.694613	-2.74e-10	-0.000
models.itu676.gammaw_exact	235.0	1013.25	7.5	288.15	2.715299	2.715299	-5.39e-11	-0.000
models.itu676.gammaw_exact	236.0	1013.25	7.5	288.15	2.736471	2.736471	-1.84e-10	-0.000
models.itu676.gammaw_exact	237.0	1013.25	7.5	288.15	2.758115	2.758115	-5.87e-11	-0.000
models.itu676.gammaw_exact	238.0	1013.25	7.5	288.15	2.780217	2.780217	8.95e-11	0.000
models.itu676.gammaw_exact	239.0	1013.25	7.5	288.15	2.802764	2.802764	1.40e-10	0.000
models.itu676.gammaw_exact	240.0	1013.25	7.5	288.15	2.825747	2.825747	4.40e-11	0.000
models.itu676.gammaw_exact	241.0	1013.25	7.5	288.15	2.849156	2.849156	-4.81e-10	-0.000
models.itu676.gammaw_exact	242.0	1013.25	7.5	288.15	2.872982	2.872982	-2.08e-10	-0.000
models.itu676.gammaw_exact	243.0	1013.25	7.5	288.15	2.897219	2.897219	3.41e-10	0.000
models.itu676.gammaw_exact	244.0	1013.25	7.5	288.15	2.921860	2.921860	2.94e-10	0.000
models.itu676.gammaw_exact	245.0	1013.25	7.5	288.15	2.946902	2.946902	-8.64e-11	-0.000
models.itu676.gammaw_exact	246.0	1013.25	7.5	288.15	2.972339	2.972339	3.36e-10	0.000
models.itu676.gammaw_exact	247.0	1013.25	7.5	288.15	2.998168	2.998168	-3.91e-10	-0.000
models.itu676.gammaw_exact	248.0	1013.25	7.5	288.15	3.024387	3.024387	-1.28e-10	-0.000
models.itu676.gammaw_exact	249.0	1013.25	7.5	288.15	3.050995	3.050995	4.00e-10	0.000
models.itu676.gammaw_exact	250.0	1013.25	7.5	288.15	3.077990	3.077990	1.21e-10	0.000
models.itu676.gammaw_exact	251.0	1013.25	7.5	288.15	3.105372	3.105372	1.04e-10	0.000
models.itu676.gammaw_exact	252.0	1013.25	7.5	288.15	3.133141	3.133141	4.16e-10	0.000
models.itu676.gammaw_exact	253.0	1013.25	7.5	288.15	3.161300	3.161300	-3.25e-10	-0.000
models.itu676.gammaw_exact	254.0	1013.25	7.5	288.15	3.189848	3.189848	-4.54e-10	-0.000
models.itu676.gammaw_exact	255.0	1013.25	7.5	288.15	3.218790	3.218790	3.39e-10	0.000
models.itu676.gammaw_exact	256.0	1013.25	7.5	288.15	3.248127	3.248127	-1.86e-10	-0.000
models.itu676.gammaw_exact	257.0	1013.25	7.5	288.15	3.277865	3.277865	2.51e-10	0.000
models.itu676.gammaw_exact	258.0	1013.25	7.5	288.15	3.308006	3.308006	-2.83e-10	-0.000
models.itu676.gammaw_exact	259.0	1013.25	7.5	288.15	3.338557	3.338557	4.77e-10	0.000
models.itu676.gammaw_exact	260.0	1013.25	7.5	288.15	3.369523	3.369523	3.59e-10	0.000
models.itu676.gammaw_exact	261.0	1013.25	7.5	288.15	3.400910	3.400910	-1.47e-10	-0.000
models.itu676.gammaw_exact	262.0	1013.25	7.5	288.15	3.432726	3.432726	-3.72e-10	-0.000
models.itu676.gammaw_exact	263.0	1013.25	7.5	288.15	3.464979	3.464979	8.01e-11	0.000
models.itu676.gammaw_exact	264.0	1013.25	7.5	288.15	3.497677	3.497677	4.26e-10	0.000
models.itu676.gammaw_exact	265.0	1013.25	7.5	288.15	3.530831	3.530831	-2.51e-10	-0.000
models.itu676.gammaw_exact	266.0	1013.25	7.5	288.15	3.564451	3.564451	3.07e-10	0.000
models.itu676.gammaw_exact	267.0	1013.25	7.5	288.15	3.598549	3.598549	2.46e-10	0.000
models.itu676.gammaw_exact	268.0	1013.25	7.5	288.15	3.633137	3.633137	-2.46e-10	-0.000
models.itu676.gammaw_exact	269.0	1013.25	7.5	288.15	3.668230	3.668230	4.61e-10	0.000
models.itu676.gammaw_exact	270.0	1013.25	7.5	288.15	3.703843	3.703843	-2.70e-10	-0.000
models.itu676.gammaw_exact	271.0	1013.25	7.5	288.15	3.739992	3.739992	2.09e-10	0.000
models.itu676.gammaw_exact	272.0	1013.25	7.5	288.15	3.776695	3.776695	-2.73e-10	-0.000
models.itu676.gammaw_exact	273.0	1013.25	7.5	288.15	3.813971	3.813971	3.02e-10	0.000
models.itu676.gammaw_exact	274.0	1013.25	7.5	288.15	3.851844	3.851844	-4.14e-10	-0.000
models.itu676.gammaw_exact	275.0	1013.25	7.5	288.15	3.890335	3.890335	-4.01e-10	-0.000
models.itu676.gammaw_exact	276.0	1013.25	7.5	288.15	3.929471	3.929471	3.41e-11	0.000
models.itu676.gammaw_exact	277.0	1013.25	7.5	288.15	3.969279	3.969279	-3.16e-10	-0.000
models.itu676.gammaw_exact	278.0	1013.25	7.5	288.15	4.009791	4.009791	-3.08e-10	-0.000
models.itu676.gammaw_exact	279.0	1013.25	7.5	288.15	4.051041	4.051041	3.06e-10	0.000
models.itu676.gammaw_exact	280.0	1013.25	7.5	288.15	4.093065	4.093065	-4.81e-10	-0.000
models.itu676.gammaw_exact	281.0	1013.25	7.5	288.15	4.135906	4.135906	4.53e-10	0.000
models.itu676.gammaw_exact	282.0	1013.25	7.5	288.15	4.179609	4.179609	3.91e-10	0.000
models.itu676.gammaw_exact	283.0	1013.25	7.5	288.15	4.224225	4.224225	3.01e-11	0.000
models.itu676.gammaw_exact	284.0	1013.25	7.5	288.15	4.269810	4.269810	-4.46e-10	-0.000
models.itu676.gammaw_exact	285.0	1013.25	7.5	288.15	4.316428	4.316428	4.53e-10	0.000
models.itu676.gammaw_exact	286.0	1013.25	7.5	288.15	4.364148	4.364148	4.08e-10	0.000
models.itu676.gammaw_exact	287.0	1013.25	7.5	288.15	4.413050	4.413050	-2.78e-10	-0.000
models.itu676.gammaw_exact	288.0	1013.25	7.5	288.15	4.463223	4.463223	3.86e-10	0.000
models.itu676.gammaw_exact	289.0	1013.25	7.5	288.15	4.514767	4.514767	4.41e-10	0.000
models.itu676.gammaw_exact	290.0	1013.25	7.5	288.15	4.567797	4.567797	1.79e-10	0.000
models.itu676.gammaw_exact	291.0	1013.25	7.5	288.15	4.622443	4.622443	8.59e-11	0.000
models.itu676.gammaw_exact	292.0	1013.25	7.5	288.15	4.678854	4.678854	6.54e-11	0.000
models.itu676.gammaw_exact	293.0	1013.25	7.5	288.15	4.737200	4.737200	-1.58e-10	-0.000
models.itu676.gammaw_exact	294.0	1013.25	7.5	288.15	4.797679	4.797679	2.73e-10	0.000
models.itu676.gammaw_exact	295.0	1013.25	7.5	288.15	4.860520	4.860520	-4.60e-10	-0.000
models.itu676.gammaw_exact	296.0	1013.25	7.5	288.15	4.925989	4.925989	-4.83e-10	-0.000
models.itu676.gammaw_exact	297.0	1013.25	7.5	288.15	4.994400	4.994400	-1.51e-10	-0.000
models.itu676.gammaw_exact	298.0	1013.25	7.5	288.15	5.066121	5.066121	-3.86e-10	-0.000
models.itu676.gammaw_exact	299.0	1013.25	7.5	288.15	5.141589	5.141589	5.29e-11	0.000
models.itu676.gammaw_exact	300.0	1013.25	7.5	288.15	5.221329	5.221329	-1.05e-10	-0.000
models.itu676.gammaw_exact	301.0	1013.25	7.5	288.15	5.305969	5.305969	3.57e-10	0.000
models.itu676.gammaw_exact	302.0	1013.25	7.5	288.15	5.396270	5.396270	-2.00e-10	-0.000
models.itu676.gammaw_exact	303.0	1013.25	7.5	288.15	5.493166	5.493166	-5.73e-11	-0.000
models.itu676.gammaw_exact	304.0	1013.25	7.5	288.15	5.597805	5.597805	-2.14e-10	-0.000
models.itu676.gammaw_exact	305.0	1013.25	7.5	288.15	5.711616	5.711616	-1.55e-10	-0.000
models.itu676.gammaw_exact	306.0	1013.25	7.5	288.15	5.836397	5.836397	3.92e-10	0.000
models.itu676.gammaw_exact	307.0	1013.25	7.5	288.15	5.974431	5.974431	4.62e-10	0.000
models.itu676.gammaw_exact	308.0	1013.25	7.5	288.15	6.128660	6.128660	-3.56e-10	-0.000
models.itu676.gammaw_exact	309.0	1013.25	7.5	288.15	6.302915	6.302915	-4.74e-10	-0.000
models.itu676.gammaw_exact	310.0	1013.25	7.5	288.15	6.502269	6.502269	1.25e-10	0.000
models.itu676.gammaw_exact	311.0	1013.25	7.5	288.15	6.733539	6.733539	-5.26e-11	-0.000
models.itu676.gammaw_exact	312.0	1013.25	7.5	288.15	7.006054	7.006054	-1.15e-10	-0.000
models.itu676.gammaw_exact	313.0	1013.25	7.5	288.15	7.332839	7.332839	1.12e-10	0.000
models.itu676.gammaw_exact	314.0	1013.25	7.5	288.15	7.732474	7.732474	-2.90e-10	-0.000
models.itu676.gammaw_exact	315.0	1013.25	7.5	288.15	8.232112	8.232112	3.91e-10	0.000
models.itu676.gammaw_exact	316.0	1013.25	7.5	288.15	8.872465	8.872465	-3.46e-11	-0.000
models.itu676.gammaw_exact	317.0	1013.25	7.5	288.15	9.716073	9.716073	7.11e-12	0.000
models.itu676.gammaw_exact	318.0	1013.25	7.5	288.15	10.860390	10.860390	1.40e-09	0.000
models.itu676.gammaw_exact	319.0	1013.25	7.5	288.15	12.453804	12.453804	-3.75e-10	-0.000
models.itu676.gammaw_exact	320.0	1013.25	7.5	288.15	14.694418	14.694418	-2.06e-09	-0.000
models.itu676.gammaw_exact	321.0	1013.25	7.5	288.15	17.779900	17.779900	-2.11e-09	-0.000
models.itu676.gammaw_exact	322.0	1013.25	7.5	288.15	21.958394	21.958394	1.44e-09	0.000
models.itu676.gammaw_exact	323.0	1013.25	7.5	288.15	27.584296	27.584296	1.32e-09	0.000
models.itu676.gammaw_exact	324.0	1013.25	7.5	288.15	33.980828	33.980828	4.39e-09	0.000
models.itu676.gammaw_exact	325.0	1013.25	7.5	288.15	37.862111	37.862111	-1.15e-09	-0.000
models.itu676.gammaw_exact	326.0	1013.25	7.5	288.15	35.904757	35.904757	4.96e-09	0.000
models.itu676.gammaw_exact	327.0	1013.25	7.5	288.15	29.947920	29.947920	1.76e-09	0.000
models.itu676.gammaw_exact	328.0	1013.25	7.5	288.15	23.872443	23.872443	3.09e-09	0.000
models.itu676.gammaw_exact	329.0	1013.25	7.5	288.15	19.264553	19.264553	3.08e-09	0.000
models.itu676.gammaw_exact	330.0	1013.25	7.5	288.15	16.084329	16.084329	3.44e-09	0.000
models.itu676.gammaw_exact	331.0	1013.25	7.5	288.15	13.929485	13.929485	-3.04e-09	-0.000
models.itu676.gammaw_exact	332.0	1013.25	7.5	288.15	12.457413	12.457413	4.69e-09	0.000
models.itu676.gammaw_exact	333.0	1013.25	7.5	288.15	11.436764	11.436764	3.81e-09	0.000
models.itu676.gammaw_exact	334.0	1013.25	7.5	288.15	10.719742	10.719742	-2.03e-09	-0.000
models.itu676.gammaw_exact	335.0	1013.25	7.5	288.15	10.211790	10.211790	8.85e-10	0.000
models.itu676.gammaw_exact	336.0	1013.25	7.5	288.15	9.850283	9.850283	2.91e-11	0.000
models.itu676.gammaw_exact	337.0	1013.25	7.5	288.15	9.592983	9.592983	1.44e-10	0.000
models.itu676.gammaw_exact	338.0	1013.25	7.5	288.15	9.413703	9.413703	-1.76e-10	-0.000
models.itu676.gammaw_exact	339.0	1013.25	7.5	288.15	9.296113	9.296113	3.43e-10	0.000
models.itu676.gammaw_exact	340.0	1013.25	7.5	288.15	9.228131	9.228131	-3.86e-10	-0.000
models.itu676.gammaw_exact	341.0	1013.25	7.5	288.15	9.200536	9.200536	1.75e-10	0.000
models.itu676.gammaw_exact	342.0	1013.25	7.5	288.15	9.206573	9.206573	2.20e-10	0.000
models.itu676.gammaw_exact	343.0	1013.25	7.5	288.15	9.241420	9.241420	-1.59e-10	-0.000
models.itu676.gammaw_exact	344.0	1013.25	7.5	288.15	9.301710	9.301710	1.14e-11	0.000
models.itu676.gammaw_exact	345.0	1013.25	7.5	288.15	9.385171	9.385171	4.16e-10	0.000
models.itu676.gammaw_exact	346.0	1013.25	7.5	288.15	9.490383	9.490383	-4.91e-10	-0.000
models.itu676.gammaw_exact	347.0	1013.25	7.5	288.15	9.616617	9.616617	2.70e-10	0.000
models.itu676.gammaw_exact	348.0	1013.25	7.5	288.15	9.763734	9.763734	-2.46e-10	-0.000
models.itu676.gammaw_exact	349.0	1013.25	7.5	288.15	9.932122	9.932122	-2.47e-10	-0.000
models.itu676.gammaw_exact	350.0	1013.25	7.5	288.15	10.122673	10.122673	4.87e-10	0.000

Function zenit_water_vapour_attenuation ¶

The table below contains the results of testing function zenit_water_vapour_attenuation. The test cases were extracted from spreadsheet ITURP676-12_zenith_attenuation.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 = 0.0  #  (°N)
lon = 0.0  # (°E)
p = 0.0  # (hPa)
f = 14.25  # (GHz)
h = 0.031382984  # (km)
V_t = 33.72946527  #  (kg/m2)

# Make call to test-function zenit_water_vapour_attenuation
itur_val = itur.models.itu676.zenit_water_vapour_attenuation(lat=lat, lon=lon, p=p, f=f, h=h, V_t=V_t)

# Compute error with respect to value in ITU example file
ITU_example_val = 0.070935174  # (dB/km)
error = ITU_example_val - itur_val.value
error_rel = error / ITU_example_val * 100  # (%)

Validation results models.itu676.zenit_water_vapour_attenuation

ITU-Rpy Function	f (GHz)	h (km)	V_t (kg/m2)	ITU Validation (dB/km)	ITU-Rpy Result (dB/km)	Absolute Error	Relative Error
models.itu676.zenit_water_vapour_attenuation	14.25	0.031383	33.729465	0.070935	0.070935	1.14e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.046123	36.048109	0.076415	0.076415	4.43e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	37.955600	0.080993	0.080993	2.82e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.031383	35.725554	0.075647	0.075647	9.46e-11	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.046123	37.513014	0.079925	0.079925	-1.76e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	40.511906	0.087230	0.087230	-4.29e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.031383	37.295953	0.079403	0.079403	-3.61e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.046123	38.329647	0.081899	0.081899	4.16e-11	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	42.210224	0.091438	0.091438	-3.44e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.031383	38.244078	0.081691	0.081691	-3.08e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.046123	39.051281	0.083652	0.083652	4.58e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	43.410461	0.094442	0.094442	4.65e-11	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.031383	33.729465	0.334146	0.334146	-1.16e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.046123	36.048109	0.358893	0.358893	1.68e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	37.955600	0.383457	0.383457	-2.03e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.031383	35.725554	0.356150	0.356150	2.66e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.046123	37.513014	0.375233	0.375233	-2.68e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	40.511906	0.412697	0.412697	-4.18e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.031383	37.295953	0.373674	0.373674	-3.85e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.046123	38.329647	0.384412	0.384412	-3.14e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	42.210224	0.432403	0.432403	3.39e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.031383	38.244078	0.384346	0.384346	2.10e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.046123	39.051281	0.392567	0.392567	2.46e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	43.410461	0.446465	0.446465	3.82e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	49.513184	0.110117	0.110117	-6.24e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.008617	57.497546	0.131634	0.131634	4.11e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	52.007390	0.116716	0.116716	9.22e-11	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.008617	59.222332	0.136433	0.136433	1.12e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	53.485111	0.120678	0.120678	2.87e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.008617	60.314611	0.139500	0.139500	1.37e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.000000	54.631809	0.123780	0.123780	-3.43e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.008617	61.161560	0.141893	0.141893	-3.81e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	49.513184	0.519700	0.519700	-2.51e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.008617	57.497546	0.618607	0.618607	-4.10e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	52.007390	0.550470	0.550470	-1.29e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.008617	59.222332	0.640866	0.640866	4.06e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	53.485111	0.568929	0.568929	-8.01e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.008617	60.314611	0.655082	0.655082	1.67e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.000000	54.631809	0.583371	0.583371	-2.92e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.008617	61.161560	0.666170	0.666170	-2.41e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.209384	70.591345	0.169409	0.169409	-5.27e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.051251	62.584697	0.145943	0.145943	2.77e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	2.539862	25.925669	0.053180	0.053180	-2.29e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.209384	72.477248	0.175105	0.175105	-1.35e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.051251	63.593435	0.148835	0.148835	-2.53e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	2.539862	26.641637	0.054765	0.054765	-3.49e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.209384	73.574292	0.178448	0.178448	4.80e-10	0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.051251	64.336356	0.150977	0.150977	-1.79e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	2.539862	27.087127	0.055756	0.055756	-2.94e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.209384	74.502008	0.181291	0.181291	-2.89e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	0.051251	64.946376	0.152744	0.152744	-1.11e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	14.25	2.539862	27.511871	0.056704	0.056704	-2.94e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.209384	70.591345	0.771408	0.771408	3.93e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.051251	62.584697	0.680016	0.680016	4.93e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	2.539862	25.925669	0.192886	0.192886	2.83e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.209384	72.477248	0.796963	0.796963	-4.93e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.051251	63.593435	0.693311	0.693311	3.27e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	2.539862	26.641637	0.198603	0.198603	8.58e-11	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.209384	73.574292	0.811954	0.811954	4.39e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.051251	64.336356	0.703154	0.703154	1.90e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	2.539862	27.087127	0.202174	0.202174	3.83e-10	0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.209384	74.502008	0.824702	0.824702	-2.21e-10	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	0.051251	64.946376	0.711268	0.711268	-7.39e-11	-0.000
models.itu676.zenit_water_vapour_attenuation	29.00	2.539862	27.511871	0.205590	0.205590	1.52e-10	0.000

Validation results ITU-R P.676-12¶

Function gaseous_attenuation_slant_path¶

Function gamma_exact¶

Function gamma0_exact¶

Function gammaw_exact¶

Function zenit_water_vapour_attenuation¶

Validation results ITU-R P.676-12 ¶

Function gaseous_attenuation_slant_path ¶

Function gamma_exact ¶

Function gamma0_exact ¶

Function gammaw_exact ¶

Function zenit_water_vapour_attenuation ¶