ThresholdPlot

ThresholdPlot evaluates a comfort model across a 2-D grid of input conditions and colours each region according to where the output falls. This makes it easy to see which combinations of inputs — temperature, humidity, air speed, clothing — land inside or outside a comfort zone, without manually running the model for every point.

import matplotlib.pyplot as plt

from pythermalcomfort.models import heat_index_rothfusz, pmv_ppd_iso, utci
from pythermalcomfort.plots.matplotlib import ThresholdPlot

1. Air Temperature vs Relative Humidity

The most common axis pairing for indoor comfort. At typical office conditions (sedentary activity, light clothing, still air), relative humidity plays a secondary role — the boundary between comfortable and warm shifts only slightly with humidity, which the chart makes immediately visible.

pmv_rh = (
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 34.0, resolution=0.2)
    .set_y_axis("rh", 20.0, 100.0, resolution=0.5)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(title="PMV — Air Temperature vs Relative Humidity")
)
pmv_rh.ax.set_xlabel("Air temperature [°C]")
pmv_rh.ax.set_ylabel("Relative humidity [%]")
plt.show()

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  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 2699 values [-2.193193779814964, -2.1328485886857225, -2.0725082207769168, -2.0121730847031074, 2.03475207821894, 2.094526959281893, 2.154375394191831, 2.214297625061019, 2.2742938952104303, 2.334364449174837, 2.3945095327074166, 2.45472939278475, 2.515024277611527, -2.1908968091365244, -2.1305225335386355, -2.0701527596755134, -2.0097878931609148, 2.040168466723209, 2.1000047049650172, 2.159915098905011, 2.219899895577345, 2.279959343256222, 2.340093691461111, 2.4003031909614925, 2.460588093781981, 2.5209486532071708, -2.1885998384580856, -2.1281964783915486, -2.06779729857411, -2.007402701618722, 2.0455848552274776, 2.105482450648141, 2.1654548036181906, 2.225502166093671, 2.285624791302013, 2.3458229337473853, 2.406096849215568, 2.4664467947792126, 2.5268730288028154, -2.1863028677796468, -2.125870423244461, 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  pmv_valid = valid_range(pmv, (-2, 2))

2. Air Temperature vs Air Speed

Air movement removes heat from the skin, which shifts the upper comfort boundary to the right as air speed increases. This plot is useful for ventilation design: it shows the minimum air speed needed to keep conditions comfortable at a given temperature. The mean radiant temperature is automatically linked to dry-bulb temperature (tr = tdb).

pmv_vr = (
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 22.0, 34.0, resolution=0.2)
    .set_y_axis("vr", 0.0, 1.2, resolution=0.02)
    .set_params(rh=50, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(title="PMV — Air Temperature vs Air Speed")
)
pmv_vr.ax.set_xlabel("Air temperature [°C]")
pmv_vr.ax.set_ylabel("Air speed [m/s]")
plt.show()

/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:173: UserWarning: 'tdb' has 1220 values [30.19999999999997, 30.39999999999997, 30.59999999999997, 30.79999999999997, 30.999999999999968, 31.199999999999967, 31.399999999999967, 31.599999999999966, 31.799999999999965, 31.999999999999964, 32.19999999999996, 32.39999999999996, 32.599999999999966, 32.79999999999996, 32.99999999999996, 33.19999999999996, 33.39999999999996, 33.59999999999996, 33.799999999999955, 34.0, 30.19999999999997, 30.39999999999997, 30.59999999999997, 30.79999999999997, 30.999999999999968, 31.199999999999967, 31.399999999999967, 31.599999999999966, 31.799999999999965, 31.999999999999964, 32.19999999999996, 32.39999999999996, 32.599999999999966, 32.79999999999996, 32.99999999999996, 33.19999999999996, 33.39999999999996, 33.59999999999996, 33.799999999999955, 34.0, 30.19999999999997, 30.39999999999997, 30.59999999999997, 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  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:175: UserWarning: 'vr' has 610 values [1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.02, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.04, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 1.06, 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  v_valid = valid_range(vr, (0.0, 1.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 789 values [2.042343900756775, 2.103014198631563, 2.1635094925212224, 2.223808708311954, 2.283886716136175, 2.343713023780584, 2.403249826734581, 2.4624489545625035, 2.5212467837623325, 2.579555031619617, 2.637242020591385, 2.6940868964050186, 2.7496217518146824, 2.80214594143505, 2.8568013168800164, 2.042343900756775, 2.103014198631563, 2.1635094925212224, 2.223808708311954, 2.283886716136175, 2.343713023780584, 2.403249826734581, 2.4624489545625035, 2.5212467837623325, 2.579555031619617, 2.637242020591385, 2.693647894540567, 2.7484111425367166, 2.8032662375903468, 2.858236714443599, 2.042343900756775, 2.103014198631563, 2.1635094925212224, 2.223808708311954, 2.283886716136175, 2.3420062497801153, 2.3994168985502786, 2.4569162383499332, 2.5145283729034795, 2.5722532413860053, 2.630089742880269, 2.688042763907198, 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  pmv_valid = valid_range(pmv, (-2, 2))

3. Custom Labels and Colors

Pass labels and colors to set_regions to override the auto-generated region names and the default colour palette. The label list must have exactly len(thresholds) + 1 entries.

pmv_custom = (
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 32.0, resolution=0.5)
    .set_y_axis("rh", 20.0, 100.0, resolution=10.0)
    .set_params(vr=0.20, met=1.2, clo=0.5, wme=0.0)
    .set_regions(
        output="pmv",
        thresholds=[-0.5, 0.5],
        labels=["Cool", "Comfortable", "Warm"],
        colors=["#4c78a8", "#d9d9d9", "#c9415f"],
    )
    .plot(title="PMV — Custom Labels and Colors")
)
pmv_custom.ax.set_xlabel("Air temperature [°C]")
pmv_custom.ax.set_ylabel("Relative humidity [%]")
plt.show()

/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:173: UserWarning: 'tdb' has 36 values [30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0, 30.5, 31.0, 31.5, 32.0] at indices [25, 26, 27, 28, 54, 55, 56, 57, 83, 84, 85, 86, 112, 113, 114, 115, 141, 142, 143, 144, 170, 171, 172, 173, 199, 200, 201, 202, 228, 229, 230, 231, 257, 258, 259, 260] outside the applicability limits [10.0, 30.0] and will be set to NaN.
  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 46 values [-2.5624472603942294, -2.409231512598652, -2.2556788891819037, -2.101786812497936, -2.5165078468254456, -2.361825801147301, -2.206766129218004, -2.051325299861875, -2.4705684332566626, -2.314420089695951, -2.157853369254104, -2.000863787225814, 2.075947324540367, -2.4246290196878797, -2.2670143782445997, -2.1089406092902037, 2.0096596497950205, 2.1818565279103592, -2.3786896061190963, -2.219608666793249, -2.0600278493263042, 2.1126116238763775, 2.2877657312803503, -2.332750192550313, -2.172202955341899, -2.011115089362405, 2.038228169597855, 2.215563597957734, 2.3936749346503428, -2.28681077898153, -2.124797243890548, 2.1382948329440787, 2.3185155720390904, 2.4995841380203347, -2.2408713654127466, -2.0773915324391967, 2.0561613329854134, 2.238361496290302, 2.421467546120448, 2.6054933413903267, -2.1949319518439636, -2.0299858209878465, 2.153413135803902, 2.3384281596365257, 2.5244195202018047, 2.7114025447603187] at indices [0, 1, 2, 3, 29, 30, 31, 32, 58, 59, 60, 61, 86, 87, 88, 89, 114, 115, 116, 117, 118, 143, 144, 145, 146, 147, 171, 172, 173, 174, 175, 200, 201, 202, 203, 204, 228, 229, 230, 231, 232, 233, 257, 258, 259, 260] outside the applicability limits [-2, 2] and will be set to NaN.
  pmv_valid = valid_range(pmv, (-2, 2))

4. Styling Contour Lines, Fills, and the Legend

line_kws, fill_kws, and legend_kws are forwarded directly to ax.plot, ax.contourf, and ax.legend. Use them to match any figure style without subclassing or post-processing.

pmv_styled = (
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 34.0, resolution=0.2)
    .set_y_axis("rh", 20.0, 100.0, resolution=0.5)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(
        line_kws={"color": "black", "linewidth": 2.0, "linestyle": "dashed"},
        fill_kws={"alpha": 0.65},
        legend_kws={
            "title": "PMV bands",
            "ncol": 1,
            "loc": "center left",
            "bbox_to_anchor": (1.05, 0.5),
        },
    )
)
pmv_styled.ax.set_title("PMV — Custom Line, Fill, and Legend Styles", y=1.05)
pmv_styled.ax.set_xlabel("Air temperature [°C]")
pmv_styled.ax.set_ylabel("Relative humidity [%]")
plt.show()

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  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 2699 values [-2.193193779814964, -2.1328485886857225, -2.0725082207769168, -2.0121730847031074, 2.03475207821894, 2.094526959281893, 2.154375394191831, 2.214297625061019, 2.2742938952104303, 2.334364449174837, 2.3945095327074166, 2.45472939278475, 2.515024277611527, -2.1908968091365244, -2.1305225335386355, -2.0701527596755134, -2.0097878931609148, 2.040168466723209, 2.1000047049650172, 2.159915098905011, 2.219899895577345, 2.279959343256222, 2.340093691461111, 2.4003031909614925, 2.460588093781981, 2.5209486532071708, -2.1885998384580856, -2.1281964783915486, -2.06779729857411, -2.007402701618722, 2.0455848552274776, 2.105482450648141, 2.1654548036181906, 2.225502166093671, 2.285624791302013, 2.3458229337473853, 2.406096849215568, 2.4664467947792126, 2.5268730288028154, -2.1863028677796468, -2.125870423244461, 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  pmv_valid = valid_range(pmv, (-2, 2))

5. Out-of-Model Areas

PMV ISO is only defined within a specific range of input conditions. Grid cells where the model returns NaN are shown in a separate colour and appear in the legend as ‘Out of model limits’. Pass invalid_color to choose any Matplotlib-compatible colour.

pmv_limits = (
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 10.0, 40.0, resolution=0.5)
    .set_y_axis("rh", 0.0, 100.0, resolution=0.5)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(title="PMV — Out-of-Model Areas", invalid_color="#bdbdbd")
)
pmv_limits.ax.set_xlabel("Air temperature [°C]")
pmv_limits.ax.set_ylabel("Relative humidity [%]")
plt.show()

/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:173: UserWarning: 'tdb' has 4020 values [30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 34.5, 35.0, 35.5, 36.0, 36.5, 37.0, 37.5, 38.0, 38.5, 39.0, 39.5, 40.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 34.5, 35.0, 35.5, 36.0, 36.5, 37.0, 37.5, 38.0, 38.5, 39.0, 39.5, 40.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 34.5, 35.0, 35.5, 36.0, 36.5, 37.0, 37.5, 38.0, 38.5, 39.0, 39.5, 40.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 34.5, 35.0, 35.5, 36.0, 36.5, 37.0, 37.5, 38.0, 38.5, 39.0, 39.5, 40.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 34.5, 35.0, 35.5, 36.0, 36.5, 37.0, 37.5, 38.0, 38.5, 39.0, 39.5, 40.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 34.5, 35.0, 35.5, 36.0, 36.5, 37.0, 37.5, 38.0, 38.5, 39.0, 39.5, 40.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 34.5, 35.0, 35.5, 36.0, 36.5, 37.0, 37.5, 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outside the applicability limits [10.0, 30.0] and will be set to NaN.
  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 6991 values [-4.662137322993343, -4.5132069220182, -4.364305752718487, -4.215437241579927, -4.066604996805927, -3.9178128205782903, -3.7690647224402145, -3.6203649339338018, -3.4717179246423004, -3.3231284198108058, -3.1746014197453962, -3.0261422212203857, -2.8777564411624565, -2.729450042923692, -2.581229365507457, -2.4331011561771505, -2.2850726069525304, -2.1371513955940142, 2.1339727697576905, 2.278049253785765, 2.4224369595630506, 2.5671365883026307, 2.7121488393065105, 2.857474409907331, 3.003113995403623, 3.1490682889884947, 3.2953379816690265, 3.441923762176554, 3.5888263168638503, 3.7360463295885613, 3.8835844815784575, 4.031441451275586, -4.660771930807566, -4.511795010883984, -4.362845936558474, -4.213928099306306, -4.0650450716093545, -3.9162006192064136, -3.7673987144657217, -3.61864355101192, 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[-2, 2] and will be set to NaN.
  pmv_valid = valid_range(pmv, (-2, 2))

6. UTCI — Air Temperature vs Wind Speed

UTCI is designed for outdoor thermal environments where wind is a primary variable. Plotting air temperature against wind speed — at a fixed humidity and with mean radiant temperature linked to air temperature — shows how wind speed reduces heat stress in hot conditions. Region labels follow the official UTCI thermal stress scale.

utci_result = (
    ThresholdPlot(utci)
    .set_x_axis("tdb", 20.0, 42.0, resolution=0.5)
    .set_y_axis("v", 0.5, 4.0, resolution=0.1)
    .set_params(rh=40)  # tr auto-linked to tdb
    .set_regions(
        output="utci",
        thresholds=[26, 32, 38],
        labels=[
            "No thermal stress",
            "Moderate heat stress",
            "Strong heat stress",
            "Very strong heat stress",
        ],
        colors=["#91cf60", "#fee090", "#fc8d59", "#d73027"],
    )
    .plot(legend_kws={"ncol": 2})
)
utci_result.ax.set_title("UTCI — Air Temperature vs Wind Speed", y=1.2)
utci_result.ax.set_xlabel("Air temperature [°C]")
utci_result.ax.set_ylabel("Wind speed [m/s]")
plt.show()

7. Heat Index

The Rothfusz heat index formula gives an apparent temperature at high humidity. The five regions follow the NWS risk scale. show_lines=False removes the boundary lines, which works well here because the filled regions are self-explanatory.

hi_result = (
    ThresholdPlot(heat_index_rothfusz)
    .set_x_axis("tdb", 27.0, 45.0, resolution=0.5)
    .set_y_axis("rh", 20.0, 100.0, resolution=3.0)
    .set_regions(
        output="hi",
        thresholds=[30.0, 35.0, 40.0, 55.0],
        labels=["Caution", "Extreme caution", "Danger", "Extreme danger", "Fatal"],
        colors=["#ffffb2", "#fecc5c", "#fd8d3c", "#f03b20", "#bd0026"],
    )
    .plot(
        show_lines=False,
        legend_kws={"title": "NWS risk level"},
    )
)
hi_result.ax.set_xlabel("Air temperature [°C]")
hi_result.ax.set_ylabel("Relative humidity [%]")
plt.show()

8. Legend, Boundary Lines, and Applicability Limits

legend=False and show_lines=False are rendering switches. limit_inputs=False is a model-level flag passed through set_params that disables the model’s own applicability check — useful when you want to visualise conditions beyond the standard’s defined range.

fig, axes = plt.subplots(3, 1, figsize=(8, 11), constrained_layout=True)

(
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 34.0, resolution=0.2)
    .set_y_axis("rh", 20.0, 100.0, resolution=0.5)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(ax=axes[0], title="legend=False", legend=False)
).ax.set(xlabel="Air temperature [°C]", ylabel="Relative humidity [%]")

(
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 34.0, resolution=0.2)
    .set_y_axis("rh", 20.0, 100.0, resolution=0.5)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(ax=axes[1], title="show_lines=False", show_lines=False)
).ax.set(xlabel="Air temperature [°C]", ylabel="Relative humidity [%]")

(
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 34.0, resolution=0.2)
    .set_y_axis("rh", 20.0, 100.0, resolution=0.5)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0, limit_inputs=False)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(ax=axes[2], title="limit_inputs=False (model parameter)")
).ax.set(xlabel="Air temperature [°C]", ylabel="Relative humidity [%]")

plt.show()

/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:173: UserWarning: 'tdb' has 3220 values [30.199999999999957, 30.399999999999956, 30.599999999999955, 30.799999999999955, 30.999999999999954, 31.199999999999953, 31.399999999999952, 31.59999999999995, 31.79999999999995, 31.99999999999995, 32.199999999999946, 32.39999999999995, 32.59999999999995, 32.79999999999995, 32.99999999999994, 33.199999999999946, 33.39999999999995, 33.599999999999945, 33.79999999999994, 34.0, 30.199999999999957, 30.399999999999956, 30.599999999999955, 30.799999999999955, 30.999999999999954, 31.199999999999953, 31.399999999999952, 31.59999999999995, 31.79999999999995, 31.99999999999995, 32.199999999999946, 32.39999999999995, 32.59999999999995, 32.79999999999995, 32.99999999999994, 33.199999999999946, 33.39999999999995, 33.599999999999945, 33.79999999999994, 34.0, 30.199999999999957, 30.399999999999956, 30.599999999999955, 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2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 4130, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199, 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208, 4209, 4210, 4211, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604, 4605, 4606, 4607, 4608, 4609, 4610, 4611, 4612, 4613, 4614, 4615, 4616, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685, 4686, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4694, 4695, 4696, 4697, 4759, 4760, 4761, 4762, 4763, 4764, 4765, 4766, 4767, 4768, 4769, 4770, 4771, 4772, 4773, 4774, 4775, 4776, 4777, 4778, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856, 4857, 4858, 4859, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4940, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020, 5021, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101, 5102, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182, 5183, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5407, 5408, 5409, 5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418, 5419, 5420, 5421, 5422, 5423, 5424, 5425, 5426, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660, 5661, 5662, 5663, 5664, 5665, 5666, 5667, 5668, 5669, 5731, 5732, 5733, 5734, 5735, 5736, 5737, 5738, 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746, 5747, 5748, 5749, 5750, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990, 5991, 5992, 5993, 6055, 6056, 6057, 6058, 6059, 6060, 6061, 6062, 6063, 6064, 6065, 6066, 6067, 6068, 6069, 6070, 6071, 6072, 6073, 6074, 6136, 6137, 6138, 6139, 6140, 6141, 6142, 6143, 6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151, 6152, 6153, 6154, 6155, 6217, 6218, 6219, 6220, 6221, 6222, 6223, 6224, 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232, 6233, 6234, 6235, 6236, 6298, 6299, 6300, 6301, 6302, 6303, 6304, 6305, 6306, 6307, 6308, 6309, 6310, 6311, 6312, 6313, 6314, 6315, 6316, 6317, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386, 6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395, 6396, 6397, 6398, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467, 6468, 6469, 6470, 6471, 6472, 6473, 6474, 6475, 6476, 6477, 6478, 6479, 6541, 6542, 6543, 6544, 6545, 6546, 6547, 6548, 6549, 6550, 6551, 6552, 6553, 6554, 6555, 6556, 6557, 6558, 6559, 6560, 6622, 6623, 6624, 6625, 6626, 6627, 6628, 6629, 6630, 6631, 6632, 6633, 6634, 6635, 6636, 6637, 6638, 6639, 6640, 6641, 6703, 6704, 6705, 6706, 6707, 6708, 6709, 6710, 6711, 6712, 6713, 6714, 6715, 6716, 6717, 6718, 6719, 6720, 6721, 6722, 6784, 6785, 6786, 6787, 6788, 6789, 6790, 6791, 6792, 6793, 6794, 6795, 6796, 6797, 6798, 6799, 6800, 6801, 6802, 6803, 6865, 6866, 6867, 6868, 6869, 6870, 6871, 6872, 6873, 6874, 6875, 6876, 6877, 6878, 6879, 6880, 6881, 6882, 6883, 6884, 6946, 6947, 6948, 6949, 6950, 6951, 6952, 6953, 6954, 6955, 6956, 6957, 6958, 6959, 6960, 6961, 6962, 6963, 6964, 6965, 7027, 7028, 7029, 7030, 7031, 7032, 7033, 7034, 7035, 7036, 7037, 7038, 7039, 7040, 7041, 7042, 7043, 7044, 7045, 7046, 7108, 7109, 7110, 7111, 7112, 7113, 7114, 7115, 7116, 7117, 7118, 7119, 7120, 7121, 7122, 7123, 7124, 7125, 7126, 7127, 7189, 7190, 7191, 7192, 7193, 7194, 7195, 7196, 7197, 7198, 7199, 7200, 7201, 7202, 7203, 7204, 7205, 7206, 7207, 7208, 7270, 7271, 7272, 7273, 7274, 7275, 7276, 7277, 7278, 7279, 7280, 7281, 7282, 7283, 7284, 7285, 7286, 7287, 7288, 7289, 7351, 7352, 7353, 7354, 7355, 7356, 7357, 7358, 7359, 7360, 7361, 7362, 7363, 7364, 7365, 7366, 7367, 7368, 7369, 7370, 7432, 7433, 7434, 7435, 7436, 7437, 7438, 7439, 7440, 7441, 7442, 7443, 7444, 7445, 7446, 7447, 7448, 7449, 7450, 7451, 7513, 7514, 7515, 7516, 7517, 7518, 7519, 7520, 7521, 7522, 7523, 7524, 7525, 7526, 7527, 7528, 7529, 7530, 7531, 7532, 7594, 7595, 7596, 7597, 7598, 7599, 7600, 7601, 7602, 7603, 7604, 7605, 7606, 7607, 7608, 7609, 7610, 7611, 7612, 7613, 7675, 7676, 7677, 7678, 7679, 7680, 7681, 7682, 7683, 7684, 7685, 7686, 7687, 7688, 7689, 7690, 7691, 7692, 7693, 7694, 7756, 7757, 7758, 7759, 7760, 7761, 7762, 7763, 7764, 7765, 7766, 7767, 7768, 7769, 7770, 7771, 7772, 7773, 7774, 7775, 7837, 7838, 7839, 7840, 7841, 7842, 7843, 7844, 7845, 7846, 7847, 7848, 7849, 7850, 7851, 7852, 7853, 7854, 7855, 7856, 7918, 7919, 7920, 7921, 7922, 7923, 7924, 7925, 7926, 7927, 7928, 7929, 7930, 7931, 7932, 7933, 7934, 7935, 7936, 7937, 7999, 8000, 8001, 8002, 8003, 8004, 8005, 8006, 8007, 8008, 8009, 8010, 8011, 8012, 8013, 8014, 8015, 8016, 8017, 8018, 8080, 8081, 8082, 8083, 8084, 8085, 8086, 8087, 8088, 8089, 8090, 8091, 8092, 8093, 8094, 8095, 8096, 8097, 8098, 8099, 8161, 8162, 8163, 8164, 8165, 8166, 8167, 8168, 8169, 8170, 8171, 8172, 8173, 8174, 8175, 8176, 8177, 8178, 8179, 8180, 8242, 8243, 8244, 8245, 8246, 8247, 8248, 8249, 8250, 8251, 8252, 8253, 8254, 8255, 8256, 8257, 8258, 8259, 8260, 8261, 8323, 8324, 8325, 8326, 8327, 8328, 8329, 8330, 8331, 8332, 8333, 8334, 8335, 8336, 8337, 8338, 8339, 8340, 8341, 8342, 8404, 8405, 8406, 8407, 8408, 8409, 8410, 8411, 8412, 8413, 8414, 8415, 8416, 8417, 8418, 8419, 8420, 8421, 8422, 8423, 8485, 8486, 8487, 8488, 8489, 8490, 8491, 8492, 8493, 8494, 8495, 8496, 8497, 8498, 8499, 8500, 8501, 8502, 8503, 8504, 8566, 8567, 8568, 8569, 8570, 8571, 8572, 8573, 8574, 8575, 8576, 8577, 8578, 8579, 8580, 8581, 8582, 8583, 8584, 8585, 8647, 8648, 8649, 8650, 8651, 8652, 8653, 8654, 8655, 8656, 8657, 8658, 8659, 8660, 8661, 8662, 8663, 8664, 8665, 8666, 8728, 8729, 8730, 8731, 8732, 8733, 8734, 8735, 8736, 8737, 8738, 8739, 8740, 8741, 8742, 8743, 8744, 8745, 8746, 8747, 8809, 8810, 8811, 8812, 8813, 8814, 8815, 8816, 8817, 8818, 8819, 8820, 8821, 8822, 8823, 8824, 8825, 8826, 8827, 8828, 8890, 8891, 8892, 8893, 8894, 8895, 8896, 8897, 8898, 8899, 8900, 8901, 8902, 8903, 8904, 8905, 8906, 8907, 8908, 8909, 8971, 8972, 8973, 8974, 8975, 8976, 8977, 8978, 8979, 8980, 8981, 8982, 8983, 8984, 8985, 8986, 8987, 8988, 8989, 8990, 9052, 9053, 9054, 9055, 9056, 9057, 9058, 9059, 9060, 9061, 9062, 9063, 9064, 9065, 9066, 9067, 9068, 9069, 9070, 9071, 9133, 9134, 9135, 9136, 9137, 9138, 9139, 9140, 9141, 9142, 9143, 9144, 9145, 9146, 9147, 9148, 9149, 9150, 9151, 9152, 9214, 9215, 9216, 9217, 9218, 9219, 9220, 9221, 9222, 9223, 9224, 9225, 9226, 9227, 9228, 9229, 9230, 9231, 9232, 9233, 9295, 9296, 9297, 9298, 9299, 9300, 9301, 9302, 9303, 9304, 9305, 9306, 9307, 9308, 9309, 9310, 9311, 9312, 9313, 9314, 9376, 9377, 9378, 9379, 9380, 9381, 9382, 9383, 9384, 9385, 9386, 9387, 9388, 9389, 9390, 9391, 9392, 9393, 9394, 9395, 9457, 9458, 9459, 9460, 9461, 9462, 9463, 9464, 9465, 9466, 9467, 9468, 9469, 9470, 9471, 9472, 9473, 9474, 9475, 9476, 9538, 9539, 9540, 9541, 9542, 9543, 9544, 9545, 9546, 9547, 9548, 9549, 9550, 9551, 9552, 9553, 9554, 9555, 9556, 9557, 9619, 9620, 9621, 9622, 9623, 9624, 9625, 9626, 9627, 9628, 9629, 9630, 9631, 9632, 9633, 9634, 9635, 9636, 9637, 9638, 9700, 9701, 9702, 9703, 9704, 9705, 9706, 9707, 9708, 9709, 9710, 9711, 9712, 9713, 9714, 9715, 9716, 9717, 9718, 9719, 9781, 9782, 9783, 9784, 9785, 9786, 9787, 9788, 9789, 9790, 9791, 9792, 9793, 9794, 9795, 9796, 9797, 9798, 9799, 9800, 9862, 9863, 9864, 9865, 9866, 9867, 9868, 9869, 9870, 9871, 9872, 9873, 9874, 9875, 9876, 9877, 9878, 9879, 9880, 9881, 9943, 9944, 9945, 9946, 9947, 9948, 9949, 9950, 9951, 9952, 9953, 9954, 9955, 9956, 9957, 9958, 9959, 9960, 9961, 9962, 10024, 10025, 10026, 10027, 10028, 10029, 10030, 10031, 10032, 10033, 10034, 10035, 10036, 10037, 10038, 10039, 10040, 10041, 10042, 10043, 10105, 10106, 10107, 10108, 10109, 10110, 10111, 10112, 10113, 10114, 10115, 10116, 10117, 10118, 10119, 10120, 10121, 10122, 10123, 10124, 10186, 10187, 10188, 10189, 10190, 10191, 10192, 10193, 10194, 10195, 10196, 10197, 10198, 10199, 10200, 10201, 10202, 10203, 10204, 10205, 10267, 10268, 10269, 10270, 10271, 10272, 10273, 10274, 10275, 10276, 10277, 10278, 10279, 10280, 10281, 10282, 10283, 10284, 10285, 10286, 10348, 10349, 10350, 10351, 10352, 10353, 10354, 10355, 10356, 10357, 10358, 10359, 10360, 10361, 10362, 10363, 10364, 10365, 10366, 10367, 10429, 10430, 10431, 10432, 10433, 10434, 10435, 10436, 10437, 10438, 10439, 10440, 10441, 10442, 10443, 10444, 10445, 10446, 10447, 10448, 10510, 10511, 10512, 10513, 10514, 10515, 10516, 10517, 10518, 10519, 10520, 10521, 10522, 10523, 10524, 10525, 10526, 10527, 10528, 10529, 10591, 10592, 10593, 10594, 10595, 10596, 10597, 10598, 10599, 10600, 10601, 10602, 10603, 10604, 10605, 10606, 10607, 10608, 10609, 10610, 10672, 10673, 10674, 10675, 10676, 10677, 10678, 10679, 10680, 10681, 10682, 10683, 10684, 10685, 10686, 10687, 10688, 10689, 10690, 10691, 10753, 10754, 10755, 10756, 10757, 10758, 10759, 10760, 10761, 10762, 10763, 10764, 10765, 10766, 10767, 10768, 10769, 10770, 10771, 10772, 10834, 10835, 10836, 10837, 10838, 10839, 10840, 10841, 10842, 10843, 10844, 10845, 10846, 10847, 10848, 10849, 10850, 10851, 10852, 10853, 10915, 10916, 10917, 10918, 10919, 10920, 10921, 10922, 10923, 10924, 10925, 10926, 10927, 10928, 10929, 10930, 10931, 10932, 10933, 10934, 10996, 10997, 10998, 10999, 11000, 11001, 11002, 11003, 11004, 11005, 11006, 11007, 11008, 11009, 11010, 11011, 11012, 11013, 11014, 11015, 11077, 11078, 11079, 11080, 11081, 11082, 11083, 11084, 11085, 11086, 11087, 11088, 11089, 11090, 11091, 11092, 11093, 11094, 11095, 11096, 11158, 11159, 11160, 11161, 11162, 11163, 11164, 11165, 11166, 11167, 11168, 11169, 11170, 11171, 11172, 11173, 11174, 11175, 11176, 11177, 11239, 11240, 11241, 11242, 11243, 11244, 11245, 11246, 11247, 11248, 11249, 11250, 11251, 11252, 11253, 11254, 11255, 11256, 11257, 11258, 11320, 11321, 11322, 11323, 11324, 11325, 11326, 11327, 11328, 11329, 11330, 11331, 11332, 11333, 11334, 11335, 11336, 11337, 11338, 11339, 11401, 11402, 11403, 11404, 11405, 11406, 11407, 11408, 11409, 11410, 11411, 11412, 11413, 11414, 11415, 11416, 11417, 11418, 11419, 11420, 11482, 11483, 11484, 11485, 11486, 11487, 11488, 11489, 11490, 11491, 11492, 11493, 11494, 11495, 11496, 11497, 11498, 11499, 11500, 11501, 11563, 11564, 11565, 11566, 11567, 11568, 11569, 11570, 11571, 11572, 11573, 11574, 11575, 11576, 11577, 11578, 11579, 11580, 11581, 11582, 11644, 11645, 11646, 11647, 11648, 11649, 11650, 11651, 11652, 11653, 11654, 11655, 11656, 11657, 11658, 11659, 11660, 11661, 11662, 11663, 11725, 11726, 11727, 11728, 11729, 11730, 11731, 11732, 11733, 11734, 11735, 11736, 11737, 11738, 11739, 11740, 11741, 11742, 11743, 11744, 11806, 11807, 11808, 11809, 11810, 11811, 11812, 11813, 11814, 11815, 11816, 11817, 11818, 11819, 11820, 11821, 11822, 11823, 11824, 11825, 11887, 11888, 11889, 11890, 11891, 11892, 11893, 11894, 11895, 11896, 11897, 11898, 11899, 11900, 11901, 11902, 11903, 11904, 11905, 11906, 11968, 11969, 11970, 11971, 11972, 11973, 11974, 11975, 11976, 11977, 11978, 11979, 11980, 11981, 11982, 11983, 11984, 11985, 11986, 11987, 12049, 12050, 12051, 12052, 12053, 12054, 12055, 12056, 12057, 12058, 12059, 12060, 12061, 12062, 12063, 12064, 12065, 12066, 12067, 12068, 12130, 12131, 12132, 12133, 12134, 12135, 12136, 12137, 12138, 12139, 12140, 12141, 12142, 12143, 12144, 12145, 12146, 12147, 12148, 12149, 12211, 12212, 12213, 12214, 12215, 12216, 12217, 12218, 12219, 12220, 12221, 12222, 12223, 12224, 12225, 12226, 12227, 12228, 12229, 12230, 12292, 12293, 12294, 12295, 12296, 12297, 12298, 12299, 12300, 12301, 12302, 12303, 12304, 12305, 12306, 12307, 12308, 12309, 12310, 12311, 12373, 12374, 12375, 12376, 12377, 12378, 12379, 12380, 12381, 12382, 12383, 12384, 12385, 12386, 12387, 12388, 12389, 12390, 12391, 12392, 12454, 12455, 12456, 12457, 12458, 12459, 12460, 12461, 12462, 12463, 12464, 12465, 12466, 12467, 12468, 12469, 12470, 12471, 12472, 12473, 12535, 12536, 12537, 12538, 12539, 12540, 12541, 12542, 12543, 12544, 12545, 12546, 12547, 12548, 12549, 12550, 12551, 12552, 12553, 12554, 12616, 12617, 12618, 12619, 12620, 12621, 12622, 12623, 12624, 12625, 12626, 12627, 12628, 12629, 12630, 12631, 12632, 12633, 12634, 12635, 12697, 12698, 12699, 12700, 12701, 12702, 12703, 12704, 12705, 12706, 12707, 12708, 12709, 12710, 12711, 12712, 12713, 12714, 12715, 12716, 12778, 12779, 12780, 12781, 12782, 12783, 12784, 12785, 12786, 12787, 12788, 12789, 12790, 12791, 12792, 12793, 12794, 12795, 12796, 12797, 12859, 12860, 12861, 12862, 12863, 12864, 12865, 12866, 12867, 12868, 12869, 12870, 12871, 12872, 12873, 12874, 12875, 12876, 12877, 12878, 12940, 12941, 12942, 12943, 12944, 12945, 12946, 12947, 12948, 12949, 12950, 12951, 12952, 12953, 12954, 12955, 12956, 12957, 12958, 12959, 13021, 13022, 13023, 13024, 13025, 13026, 13027, 13028, 13029, 13030, 13031, 13032, 13033, 13034, 13035, 13036, 13037, 13038, 13039, 13040] outside the applicability limits [10.0, 30.0] and will be set to NaN.
  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 2699 values [-2.193193779814964, -2.1328485886857225, -2.0725082207769168, -2.0121730847031074, 2.03475207821894, 2.094526959281893, 2.154375394191831, 2.214297625061019, 2.2742938952104303, 2.334364449174837, 2.3945095327074166, 2.45472939278475, 2.515024277611527, -2.1908968091365244, -2.1305225335386355, -2.0701527596755134, -2.0097878931609148, 2.040168466723209, 2.1000047049650172, 2.159915098905011, 2.219899895577345, 2.279959343256222, 2.340093691461111, 2.4003031909614925, 2.460588093781981, 2.5209486532071708, -2.1885998384580856, -2.1281964783915486, -2.06779729857411, -2.007402701618722, 2.0455848552274776, 2.105482450648141, 2.1654548036181906, 2.225502166093671, 2.285624791302013, 2.3458229337473853, 2.406096849215568, 2.4664467947792126, 2.5268730288028154, -2.1863028677796468, -2.125870423244461, 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  pmv_valid = valid_range(pmv, (-2, 2))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:173: UserWarning: 'tdb' has 3220 values [30.199999999999957, 30.399999999999956, 30.599999999999955, 30.799999999999955, 30.999999999999954, 31.199999999999953, 31.399999999999952, 31.59999999999995, 31.79999999999995, 31.99999999999995, 32.199999999999946, 32.39999999999995, 32.59999999999995, 32.79999999999995, 32.99999999999994, 33.199999999999946, 33.39999999999995, 33.599999999999945, 33.79999999999994, 34.0, 30.199999999999957, 30.399999999999956, 30.599999999999955, 30.799999999999955, 30.999999999999954, 31.199999999999953, 31.399999999999952, 31.59999999999995, 31.79999999999995, 31.99999999999995, 32.199999999999946, 32.39999999999995, 32.59999999999995, 32.79999999999995, 32.99999999999994, 33.199999999999946, 33.39999999999995, 33.599999999999945, 33.79999999999994, 34.0, 30.199999999999957, 30.399999999999956, 30.599999999999955, 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  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 2699 values [-2.193193779814964, -2.1328485886857225, -2.0725082207769168, -2.0121730847031074, 2.03475207821894, 2.094526959281893, 2.154375394191831, 2.214297625061019, 2.2742938952104303, 2.334364449174837, 2.3945095327074166, 2.45472939278475, 2.515024277611527, -2.1908968091365244, -2.1305225335386355, -2.0701527596755134, -2.0097878931609148, 2.040168466723209, 2.1000047049650172, 2.159915098905011, 2.219899895577345, 2.279959343256222, 2.340093691461111, 2.4003031909614925, 2.460588093781981, 2.5209486532071708, -2.1885998384580856, -2.1281964783915486, -2.06779729857411, -2.007402701618722, 2.0455848552274776, 2.105482450648141, 2.1654548036181906, 2.225502166093671, 2.285624791302013, 2.3458229337473853, 2.406096849215568, 2.4664467947792126, 2.5268730288028154, -2.1863028677796468, -2.125870423244461, 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12950, 12951, 12952, 12953, 12954, 12955, 12956, 12957, 12958, 12959, 13019, 13020, 13021, 13022, 13023, 13024, 13025, 13026, 13027, 13028, 13029, 13030, 13031, 13032, 13033, 13034, 13035, 13036, 13037, 13038, 13039, 13040] outside the applicability limits [-2, 2] and will be set to NaN.
  pmv_valid = valid_range(pmv, (-2, 2))

9. The tr / tdb Parameter Link

When a model accepts both tdb and tr and you map only one of them to an axis, the other is automatically set to the same per-cell value (operative temperature assumption). Pass tr=<value> in set_params to override this and fix mean radiant temperature independently.

fig, (ax0, ax1) = plt.subplots(
    2, 1, figsize=(8, 8), constrained_layout=True, sharex=True
)

(
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 30.0, resolution=0.5)
    .set_y_axis("rh", 20.0, 100.0, resolution=5.0)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(ax=ax0, title="tr auto-linked to tdb (operative temperature)")
).ax.set(xlabel="Air temperature [°C]", ylabel="Relative humidity [%]")

(
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 30.0, resolution=0.5)
    .set_y_axis("rh", 20.0, 100.0, resolution=5.0)
    .set_params(tr=30.0, vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot(ax=ax1, title="Fixed tr = 30 °C (high radiant load)")
).ax.set(xlabel="Air temperature [°C]", ylabel="Relative humidity [%]")

plt.show()

/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 13 values [-2.193193779814964, -2.042339972691313, -2.170224073030573, -2.0186371169656376, -2.1472543662461807, -2.124284659461789, -2.1013149526773973, -2.078345245893006, -2.0553755391086144, -2.032405832324223, -2.0094361255398314, 2.031897190312076, 2.0791501641682593] at indices [0, 1, 25, 26, 50, 75, 100, 125, 150, 175, 200, 399, 424] outside the applicability limits [-2, 2] and will be set to NaN.
  pmv_valid = valid_range(pmv, (-2, 2))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 2 values [2.031897190312076, 2.0791501641682593] at indices [399, 424] outside the applicability limits [-2, 2] and will be set to NaN.
  pmv_valid = valid_range(pmv, (-2, 2))

10. Modifying Returned Artists

result.lines, result.fills, and result.legend are ordinary Matplotlib artists. Modify them in place after calling plot() — useful for per-figure tweaks without restructuring the chain.

result = (
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 34.0, resolution=0.5)
    .set_y_axis("rh", 20.0, 100.0, resolution=2.0)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot()
)

# Thicken boundary lines
for line in result.lines:
    line.set_linewidth(2.5)

# Reduce fill opacity on the outer regions, keep the comfort zone solid
for fill, alpha in zip(result.fills, [0.4, 1.0, 0.4], strict=False):
    fill.set_alpha(alpha)

# Add a legend title
if result.legend:
    result.legend.set_title("PMV zone")

result.ax.set_xlabel("Air temperature [°C]")
result.ax.set_ylabel("Relative humidity [%]")
plt.show()

/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:173: UserWarning: 'tdb' has 328 values [30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0, 30.5, 31.0, 31.5, 32.0, 32.5, 33.0, 33.5, 34.0] at indices [25, 26, 27, 28, 29, 30, 31, 32, 58, 59, 60, 61, 62, 63, 64, 65, 91, 92, 93, 94, 95, 96, 97, 98, 124, 125, 126, 127, 128, 129, 130, 131, 157, 158, 159, 160, 161, 162, 163, 164, 190, 191, 192, 193, 194, 195, 196, 197, 223, 224, 225, 226, 227, 228, 229, 230, 256, 257, 258, 259, 260, 261, 262, 263, 289, 290, 291, 292, 293, 294, 295, 296, 322, 323, 324, 325, 326, 327, 328, 329, 355, 356, 357, 358, 359, 360, 361, 362, 388, 389, 390, 391, 392, 393, 394, 395, 421, 422, 423, 424, 425, 426, 427, 428, 454, 455, 456, 457, 458, 459, 460, 461, 487, 488, 489, 490, 491, 492, 493, 494, 520, 521, 522, 523, 524, 525, 526, 527, 553, 554, 555, 556, 557, 558, 559, 560, 586, 587, 588, 589, 590, 591, 592, 593, 619, 620, 621, 622, 623, 624, 625, 626, 652, 653, 654, 655, 656, 657, 658, 659, 685, 686, 687, 688, 689, 690, 691, 692, 718, 719, 720, 721, 722, 723, 724, 725, 751, 752, 753, 754, 755, 756, 757, 758, 784, 785, 786, 787, 788, 789, 790, 791, 817, 818, 819, 820, 821, 822, 823, 824, 850, 851, 852, 853, 854, 855, 856, 857, 883, 884, 885, 886, 887, 888, 889, 890, 916, 917, 918, 919, 920, 921, 922, 923, 949, 950, 951, 952, 953, 954, 955, 956, 982, 983, 984, 985, 986, 987, 988, 989, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352] outside the applicability limits [10.0, 30.0] and will be set to NaN.
  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 296 values [-2.193193779814964, -2.042339972691313, 2.064630339604473, 2.214297625061042, 2.3644276593378164, 2.515024277611527, -2.184005897101207, -2.0328588304010426, 2.0864183082792485, 2.236706707126347, 2.3874731482958285, 2.5387217799941033, -2.174818014387451, -2.0233776881107723, 2.108206276954024, 2.2591157891916507, 2.4105186372538414, 2.562419282376679, -2.165630131673694, -2.0138965458205025, 2.1299942456287995, 2.281524871256955, 2.4335641262118544, 2.5861167847592554, -2.1564422489599377, -2.0044154035302317, 2.0001493778959847, 2.151782214303575, 2.3039339533222596, 2.4566096151698664, 2.6098142871418317, -2.1472543662461807, 2.021331218569983, 2.1735701829783505, 2.3263430353875636, 2.479655104127879, 2.633511789524408, -2.138066483532424, 2.0425130592439813, 2.195358151653126, 2.348752117452868, 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3.462924372914575] at indices [0, 1, 29, 30, 31, 32, 33, 34, 62, 63, 64, 65, 66, 67, 95, 96, 97, 98, 99, 100, 128, 129, 130, 131, 132, 133, 160, 161, 162, 163, 164, 165, 193, 194, 195, 196, 197, 198, 226, 227, 228, 229, 230, 231, 259, 260, 261, 262, 263, 264, 292, 293, 294, 295, 296, 297, 325, 326, 327, 328, 329, 330, 358, 359, 360, 361, 362, 363, 391, 392, 393, 394, 395, 396, 423, 424, 425, 426, 427, 428, 429, 456, 457, 458, 459, 460, 461, 462, 489, 490, 491, 492, 493, 494, 495, 522, 523, 524, 525, 526, 527, 528, 555, 556, 557, 558, 559, 560, 561, 588, 589, 590, 591, 592, 593, 594, 621, 622, 623, 624, 625, 626, 627, 654, 655, 656, 657, 658, 659, 660, 686, 687, 688, 689, 690, 691, 692, 693, 719, 720, 721, 722, 723, 724, 725, 752, 753, 754, 755, 756, 757, 758, 785, 786, 787, 788, 789, 790, 791, 818, 819, 820, 821, 822, 823, 824, 851, 852, 853, 854, 855, 856, 857, 884, 885, 886, 887, 888, 889, 890, 917, 918, 919, 920, 921, 922, 923, 949, 950, 951, 952, 953, 954, 955, 956, 982, 983, 984, 985, 986, 987, 988, 989, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352] outside the applicability limits [-2, 2] and will be set to NaN.
  pmv_valid = valid_range(pmv, (-2, 2))

11. Using result.fig

result.fig is the underlying Figure. Use it for operations that span the whole figure — super-titles, saving to disk, multi-panel layouts.

r = (
    ThresholdPlot(pmv_ppd_iso)
    .set_x_axis("tdb", 18.0, 34.0, resolution=0.2)
    .set_y_axis("rh", 20.0, 100.0, resolution=0.5)
    .set_params(vr=0.10, met=1.2, clo=0.5, wme=0.0)
    .set_regions(output="pmv", thresholds=[-0.5, 0.5])
    .plot()
)

r.fig.suptitle(
    "PMV Comfort Zones — Typical Office", y=1.03, fontsize=13, fontweight="bold"
)
r.ax.set_title("ISO 7730 | met=1.2, clo=0.5, vr=0.1 m/s", y=1.18)
r.ax.set_xlabel("Air temperature [°C]")
r.ax.set_ylabel("Relative humidity [%]")

# r.fig.savefig("pmv_threshold.png", dpi=150, bbox_inches="tight")
plt.show()

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  tdb_valid = valid_range(tdb, (10.0, 30.0))
/home/docs/checkouts/readthedocs.org/user_builds/pythermalcomfort/envs/latest/lib/python3.11/site-packages/pythermalcomfort/models/pmv_ppd_iso.py:178: UserWarning: 'pmv' has 2699 values [-2.193193779814964, -2.1328485886857225, -2.0725082207769168, -2.0121730847031074, 2.03475207821894, 2.094526959281893, 2.154375394191831, 2.214297625061019, 2.2742938952104303, 2.334364449174837, 2.3945095327074166, 2.45472939278475, 2.515024277611527, -2.1908968091365244, -2.1305225335386355, -2.0701527596755134, -2.0097878931609148, 2.040168466723209, 2.1000047049650172, 2.159915098905011, 2.219899895577345, 2.279959343256222, 2.340093691461111, 2.4003031909614925, 2.460588093781981, 2.5209486532071708, -2.1885998384580856, -2.1281964783915486, -2.06779729857411, -2.007402701618722, 2.0455848552274776, 2.105482450648141, 2.1654548036181906, 2.225502166093671, 2.285624791302013, 2.3458229337473853, 2.406096849215568, 2.4664467947792126, 2.5268730288028154, -2.1863028677796468, -2.125870423244461, 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7922, 7923, 7924, 7925, 7926, 7927, 7928, 7929, 7930, 7931, 7932, 7933, 7934, 7935, 7936, 7937, 8002, 8003, 8004, 8005, 8006, 8007, 8008, 8009, 8010, 8011, 8012, 8013, 8014, 8015, 8016, 8017, 8018, 8083, 8084, 8085, 8086, 8087, 8088, 8089, 8090, 8091, 8092, 8093, 8094, 8095, 8096, 8097, 8098, 8099, 8164, 8165, 8166, 8167, 8168, 8169, 8170, 8171, 8172, 8173, 8174, 8175, 8176, 8177, 8178, 8179, 8180, 8245, 8246, 8247, 8248, 8249, 8250, 8251, 8252, 8253, 8254, 8255, 8256, 8257, 8258, 8259, 8260, 8261, 8326, 8327, 8328, 8329, 8330, 8331, 8332, 8333, 8334, 8335, 8336, 8337, 8338, 8339, 8340, 8341, 8342, 8406, 8407, 8408, 8409, 8410, 8411, 8412, 8413, 8414, 8415, 8416, 8417, 8418, 8419, 8420, 8421, 8422, 8423, 8487, 8488, 8489, 8490, 8491, 8492, 8493, 8494, 8495, 8496, 8497, 8498, 8499, 8500, 8501, 8502, 8503, 8504, 8568, 8569, 8570, 8571, 8572, 8573, 8574, 8575, 8576, 8577, 8578, 8579, 8580, 8581, 8582, 8583, 8584, 8585, 8649, 8650, 8651, 8652, 8653, 8654, 8655, 8656, 8657, 8658, 8659, 8660, 8661, 8662, 8663, 8664, 8665, 8666, 8730, 8731, 8732, 8733, 8734, 8735, 8736, 8737, 8738, 8739, 8740, 8741, 8742, 8743, 8744, 8745, 8746, 8747, 8811, 8812, 8813, 8814, 8815, 8816, 8817, 8818, 8819, 8820, 8821, 8822, 8823, 8824, 8825, 8826, 8827, 8828, 8892, 8893, 8894, 8895, 8896, 8897, 8898, 8899, 8900, 8901, 8902, 8903, 8904, 8905, 8906, 8907, 8908, 8909, 8973, 8974, 8975, 8976, 8977, 8978, 8979, 8980, 8981, 8982, 8983, 8984, 8985, 8986, 8987, 8988, 8989, 8990, 9054, 9055, 9056, 9057, 9058, 9059, 9060, 9061, 9062, 9063, 9064, 9065, 9066, 9067, 9068, 9069, 9070, 9071, 9135, 9136, 9137, 9138, 9139, 9140, 9141, 9142, 9143, 9144, 9145, 9146, 9147, 9148, 9149, 9150, 9151, 9152, 9216, 9217, 9218, 9219, 9220, 9221, 9222, 9223, 9224, 9225, 9226, 9227, 9228, 9229, 9230, 9231, 9232, 9233, 9297, 9298, 9299, 9300, 9301, 9302, 9303, 9304, 9305, 9306, 9307, 9308, 9309, 9310, 9311, 9312, 9313, 9314, 9378, 9379, 9380, 9381, 9382, 9383, 9384, 9385, 9386, 9387, 9388, 9389, 9390, 9391, 9392, 9393, 9394, 9395, 9458, 9459, 9460, 9461, 9462, 9463, 9464, 9465, 9466, 9467, 9468, 9469, 9470, 9471, 9472, 9473, 9474, 9475, 9476, 9539, 9540, 9541, 9542, 9543, 9544, 9545, 9546, 9547, 9548, 9549, 9550, 9551, 9552, 9553, 9554, 9555, 9556, 9557, 9620, 9621, 9622, 9623, 9624, 9625, 9626, 9627, 9628, 9629, 9630, 9631, 9632, 9633, 9634, 9635, 9636, 9637, 9638, 9701, 9702, 9703, 9704, 9705, 9706, 9707, 9708, 9709, 9710, 9711, 9712, 9713, 9714, 9715, 9716, 9717, 9718, 9719, 9782, 9783, 9784, 9785, 9786, 9787, 9788, 9789, 9790, 9791, 9792, 9793, 9794, 9795, 9796, 9797, 9798, 9799, 9800, 9863, 9864, 9865, 9866, 9867, 9868, 9869, 9870, 9871, 9872, 9873, 9874, 9875, 9876, 9877, 9878, 9879, 9880, 9881, 9944, 9945, 9946, 9947, 9948, 9949, 9950, 9951, 9952, 9953, 9954, 9955, 9956, 9957, 9958, 9959, 9960, 9961, 9962, 10025, 10026, 10027, 10028, 10029, 10030, 10031, 10032, 10033, 10034, 10035, 10036, 10037, 10038, 10039, 10040, 10041, 10042, 10043, 10106, 10107, 10108, 10109, 10110, 10111, 10112, 10113, 10114, 10115, 10116, 10117, 10118, 10119, 10120, 10121, 10122, 10123, 10124, 10187, 10188, 10189, 10190, 10191, 10192, 10193, 10194, 10195, 10196, 10197, 10198, 10199, 10200, 10201, 10202, 10203, 10204, 10205, 10268, 10269, 10270, 10271, 10272, 10273, 10274, 10275, 10276, 10277, 10278, 10279, 10280, 10281, 10282, 10283, 10284, 10285, 10286, 10349, 10350, 10351, 10352, 10353, 10354, 10355, 10356, 10357, 10358, 10359, 10360, 10361, 10362, 10363, 10364, 10365, 10366, 10367, 10430, 10431, 10432, 10433, 10434, 10435, 10436, 10437, 10438, 10439, 10440, 10441, 10442, 10443, 10444, 10445, 10446, 10447, 10448, 10511, 10512, 10513, 10514, 10515, 10516, 10517, 10518, 10519, 10520, 10521, 10522, 10523, 10524, 10525, 10526, 10527, 10528, 10529, 10591, 10592, 10593, 10594, 10595, 10596, 10597, 10598, 10599, 10600, 10601, 10602, 10603, 10604, 10605, 10606, 10607, 10608, 10609, 10610, 10672, 10673, 10674, 10675, 10676, 10677, 10678, 10679, 10680, 10681, 10682, 10683, 10684, 10685, 10686, 10687, 10688, 10689, 10690, 10691, 10753, 10754, 10755, 10756, 10757, 10758, 10759, 10760, 10761, 10762, 10763, 10764, 10765, 10766, 10767, 10768, 10769, 10770, 10771, 10772, 10834, 10835, 10836, 10837, 10838, 10839, 10840, 10841, 10842, 10843, 10844, 10845, 10846, 10847, 10848, 10849, 10850, 10851, 10852, 10853, 10915, 10916, 10917, 10918, 10919, 10920, 10921, 10922, 10923, 10924, 10925, 10926, 10927, 10928, 10929, 10930, 10931, 10932, 10933, 10934, 10996, 10997, 10998, 10999, 11000, 11001, 11002, 11003, 11004, 11005, 11006, 11007, 11008, 11009, 11010, 11011, 11012, 11013, 11014, 11015, 11077, 11078, 11079, 11080, 11081, 11082, 11083, 11084, 11085, 11086, 11087, 11088, 11089, 11090, 11091, 11092, 11093, 11094, 11095, 11096, 11158, 11159, 11160, 11161, 11162, 11163, 11164, 11165, 11166, 11167, 11168, 11169, 11170, 11171, 11172, 11173, 11174, 11175, 11176, 11177, 11239, 11240, 11241, 11242, 11243, 11244, 11245, 11246, 11247, 11248, 11249, 11250, 11251, 11252, 11253, 11254, 11255, 11256, 11257, 11258, 11320, 11321, 11322, 11323, 11324, 11325, 11326, 11327, 11328, 11329, 11330, 11331, 11332, 11333, 11334, 11335, 11336, 11337, 11338, 11339, 11401, 11402, 11403, 11404, 11405, 11406, 11407, 11408, 11409, 11410, 11411, 11412, 11413, 11414, 11415, 11416, 11417, 11418, 11419, 11420, 11482, 11483, 11484, 11485, 11486, 11487, 11488, 11489, 11490, 11491, 11492, 11493, 11494, 11495, 11496, 11497, 11498, 11499, 11500, 11501, 11563, 11564, 11565, 11566, 11567, 11568, 11569, 11570, 11571, 11572, 11573, 11574, 11575, 11576, 11577, 11578, 11579, 11580, 11581, 11582, 11644, 11645, 11646, 11647, 11648, 11649, 11650, 11651, 11652, 11653, 11654, 11655, 11656, 11657, 11658, 11659, 11660, 11661, 11662, 11663, 11724, 11725, 11726, 11727, 11728, 11729, 11730, 11731, 11732, 11733, 11734, 11735, 11736, 11737, 11738, 11739, 11740, 11741, 11742, 11743, 11744, 11805, 11806, 11807, 11808, 11809, 11810, 11811, 11812, 11813, 11814, 11815, 11816, 11817, 11818, 11819, 11820, 11821, 11822, 11823, 11824, 11825, 11886, 11887, 11888, 11889, 11890, 11891, 11892, 11893, 11894, 11895, 11896, 11897, 11898, 11899, 11900, 11901, 11902, 11903, 11904, 11905, 11906, 11967, 11968, 11969, 11970, 11971, 11972, 11973, 11974, 11975, 11976, 11977, 11978, 11979, 11980, 11981, 11982, 11983, 11984, 11985, 11986, 11987, 12048, 12049, 12050, 12051, 12052, 12053, 12054, 12055, 12056, 12057, 12058, 12059, 12060, 12061, 12062, 12063, 12064, 12065, 12066, 12067, 12068, 12129, 12130, 12131, 12132, 12133, 12134, 12135, 12136, 12137, 12138, 12139, 12140, 12141, 12142, 12143, 12144, 12145, 12146, 12147, 12148, 12149, 12210, 12211, 12212, 12213, 12214, 12215, 12216, 12217, 12218, 12219, 12220, 12221, 12222, 12223, 12224, 12225, 12226, 12227, 12228, 12229, 12230, 12291, 12292, 12293, 12294, 12295, 12296, 12297, 12298, 12299, 12300, 12301, 12302, 12303, 12304, 12305, 12306, 12307, 12308, 12309, 12310, 12311, 12372, 12373, 12374, 12375, 12376, 12377, 12378, 12379, 12380, 12381, 12382, 12383, 12384, 12385, 12386, 12387, 12388, 12389, 12390, 12391, 12392, 12453, 12454, 12455, 12456, 12457, 12458, 12459, 12460, 12461, 12462, 12463, 12464, 12465, 12466, 12467, 12468, 12469, 12470, 12471, 12472, 12473, 12534, 12535, 12536, 12537, 12538, 12539, 12540, 12541, 12542, 12543, 12544, 12545, 12546, 12547, 12548, 12549, 12550, 12551, 12552, 12553, 12554, 12615, 12616, 12617, 12618, 12619, 12620, 12621, 12622, 12623, 12624, 12625, 12626, 12627, 12628, 12629, 12630, 12631, 12632, 12633, 12634, 12635, 12696, 12697, 12698, 12699, 12700, 12701, 12702, 12703, 12704, 12705, 12706, 12707, 12708, 12709, 12710, 12711, 12712, 12713, 12714, 12715, 12716, 12777, 12778, 12779, 12780, 12781, 12782, 12783, 12784, 12785, 12786, 12787, 12788, 12789, 12790, 12791, 12792, 12793, 12794, 12795, 12796, 12797, 12857, 12858, 12859, 12860, 12861, 12862, 12863, 12864, 12865, 12866, 12867, 12868, 12869, 12870, 12871, 12872, 12873, 12874, 12875, 12876, 12877, 12878, 12938, 12939, 12940, 12941, 12942, 12943, 12944, 12945, 12946, 12947, 12948, 12949, 12950, 12951, 12952, 12953, 12954, 12955, 12956, 12957, 12958, 12959, 13019, 13020, 13021, 13022, 13023, 13024, 13025, 13026, 13027, 13028, 13029, 13030, 13031, 13032, 13033, 13034, 13035, 13036, 13037, 13038, 13039, 13040] outside the applicability limits [-2, 2] and will be set to NaN.
  pmv_valid = valid_range(pmv, (-2, 2))