From c9b93634645c78e3b1aa9e1c6c3674353dd3b5e4 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Fri, 12 Jul 2024 12:54:55 -0600 Subject: [PATCH 01/15] ncl_entry stdatmus_z2tdp --- environment.yml | 1 + ncl/ncl_entries/stdatmus_z2tdp.ipynb | 133 +++++++++++++++++++++++++++ 2 files changed, 134 insertions(+) create mode 100644 ncl/ncl_entries/stdatmus_z2tdp.ipynb diff --git a/environment.yml b/environment.yml index 9e2ad999..c7efac9a 100644 --- a/environment.yml +++ b/environment.yml @@ -2,6 +2,7 @@ name: geocat-applications channels: - conda-forge dependencies: + - ambiance # stdatmus_z2tdp - cartopy - geocat-datafiles - matplotlib diff --git a/ncl/ncl_entries/stdatmus_z2tdp.ipynb b/ncl/ncl_entries/stdatmus_z2tdp.ipynb new file mode 100644 index 00000000..bfe4c9c9 --- /dev/null +++ b/ncl/ncl_entries/stdatmus_z2tdp.ipynb @@ -0,0 +1,133 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# stdatmus_z2tdp" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Overview\n", + "Calculates the corresponding temperature, density, and pressure based height\n", + "- NCL [stdatmus_z2tdp](https://www.ncl.ucar.edu/Document/Functions/Built-in/stdatmus_z2tdp.shtml) function" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## [Ambiance](https://github.com/airinnova/ambiance/) Python Package\n", + "\n", + "Ambiance atmosphere properties that match NCL `stdatmus_z2tdp`\n", + "- Density (`density`)\n", + "- Pressure (`pressure`)\n", + "- Temperature (`temperature_in_celsius`)\n", + "\n", + "Additional Atmosphere Properties:\n", + "- Collision frequency (`collision_frequency`)\n", + "- Dynamic viscosity (`dynamic_viscosity`)\n", + "- Geometric height above [MSL](https://en.wikipedia.org/wiki/Sea_level) (`h`)\n", + "- Geopotential height (`H`)\n", + "- Gravitational acceleration (`grav_accel`)\n", + "- Kinematic viscosity (`kinematic_viscosity`)\n", + "- Layer names (`layer_name`)\n", + "- Mean free path (`mean_free_path`)\n", + "- Mean particle speed (`mean_particle_speed`)\n", + "- Number density (`number_density`)\n", + "- Pressure scale height (`pressure_scale_height`)\n", + "- Specific weight (`specific_weight`)\n", + "- Speed of sound (`speed_of_sound`)\n", + "- Temperature (`temperature`)\n", + "- Thermal conductivity (`thermal_conductivity`)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## stdatmus_z2tdp" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Grab and Go" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Temperature : 14.350010225164397 C\n", + "Density : 1.213282967332296 kg/m^3\n", + "Pressure : 1001.2945645595289 hPa (mB)\n" + ] + } + ], + "source": [ + "from ambiance import Atmosphere\n", + "\n", + "height = 100 # meters\n", + "stdatmus_100 = Atmosphere(height)\n", + "\n", + "print(f\"Temperature : {stdatmus_100.temperature_in_celsius[0]} C\")\n", + "print(f\"Density : {stdatmus_100.density[0]} kg/m^3\")\n", + "print(f\"Pressure : {stdatmus_100.pressure[0]/100} hPa (mB)\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Python changes to approximate NCL functionality\n", + "The `ambiance` package includes additional atmospheric properties as well as the NCL properties (`temperature_in_celsius`, `density`,`pressure`)\n", + "\n", + "To match NCL functionality, the default `pressure` property needs to be converted from the ambiance's default `Pascal` to NCL's `Millibar` (dividing by 100).\n", + "\n", + "### Differences from NCL\n", + "`stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere while `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html) which extends the model to 80 km and should still match in these part. The Python `ambiance` package returns an array for each atmosphere property with more degrees of precision than NCL." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Python Resources\n", + "\n", + "- Python [`ambiance`](https://ambiance.readthedocs.io/en/latest/) documentation\n", + "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.8" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} From 7efb76cfcdbc47acd0608b1e2f88cefe554420d0 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Fri, 12 Jul 2024 13:30:47 -0600 Subject: [PATCH 02/15] ncl receipts --- ncl/ncl_index/ncl-index-table.csv | 1 + ncl/ncl_raw/stdatmus_z2tdp.ncl | 16 +++ ncl/receipts/stdatmus_z2tdp.ipynb | 178 ++++++++++++++++++++++++++++++ 3 files changed, 195 insertions(+) create mode 100644 ncl/ncl_raw/stdatmus_z2tdp.ncl create mode 100644 ncl/receipts/stdatmus_z2tdp.ipynb diff --git a/ncl/ncl_index/ncl-index-table.csv b/ncl/ncl_index/ncl-index-table.csv index 665ddf54..21109e11 100644 --- a/ncl/ncl_index/ncl-index-table.csv +++ b/ncl/ncl_index/ncl-index-table.csv @@ -11,3 +11,4 @@ NCL Function,Description,Python Equivalent,Notes `tanh `__,"Computes the hyperbolic tangent of numeric types","``math.tanh()`` or ``numpy.tanh()``",`example notebook <../ncl_entries/trigonometric_functions.ipynb#tanh>`__ `days_in_month `__,"Calculates the number of days in a month given month and year","``cftime.datetime().daysinmonth``",`details <../ncl_entries/days_in_month.ipynb>`__ `day_of_week `__,"Calculates the day of the week given month, day, and year","``cftime.datetime().dayofwk``",`details <../ncl_entries/day_of_week.ipynb>`__ +`stdatmus_z2tdp `__,"Calculates the corresponding temperature, density, and pressure based on the 1976 U.S. standard atmosphere, given the height","``ambiance.Atmosphere()``",`Example Notebook <../ncl_entries/stdatmus_z2tdp.ipynb>`__ diff --git a/ncl/ncl_raw/stdatmus_z2tdp.ncl b/ncl/ncl_raw/stdatmus_z2tdp.ncl new file mode 100644 index 00000000..620b5976 --- /dev/null +++ b/ncl/ncl_raw/stdatmus_z2tdp.ncl @@ -0,0 +1,16 @@ +; stdatmus_z2tdp +; Adapted from https://www.ncl.ucar.edu/Document/Functions/Built-in/stdatmus_z2tdp.shtml +height = 100 ; meters +tdp = stdatmus_z2tdp(height) ; tdp(3) = (/ 14.35, 1.213282, 1001.294 /) +print(tdp) + +; Variable: tdp +; Type: float +; Total Size: 12 bytes +; 3 values +; Number of Dimensions: 1 +; Dimensions and sizes: [3] +; Coordinates: +; (0) 14.35 +; (1) 1.213282 +; (2) 1001.294 diff --git a/ncl/receipts/stdatmus_z2tdp.ipynb b/ncl/receipts/stdatmus_z2tdp.ipynb new file mode 100644 index 00000000..14c2a463 --- /dev/null +++ b/ncl/receipts/stdatmus_z2tdp.ipynb @@ -0,0 +1,178 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e6eddaf181eacfd3", + "metadata": {}, + "source": [ + "# stdatmus_z2tdp" + ] + }, + { + "cell_type": "markdown", + "id": "e6be6389ef38b00b", + "metadata": {}, + "source": [ + "```{warning} This is not meant to be a standalone notebook.\n", + "This notebook is part of the process we have for adding entries to the NCL Index and is not meant to be used as tutorial or example code.\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "536ffded4355d9c6", + "metadata": {}, + "source": [ + "## Functions covered\n", + "- [stdatmus_z2tdp](https://www.ncl.ucar.edu/Document/Functions/Built-in/stdatmus_z2tdp.shtml)" + ] + }, + { + "cell_type": "markdown", + "id": "4a129c971c083695", + "metadata": {}, + "source": [ + "## NCL code" + ] + }, + { + "cell_type": "markdown", + "id": "3d70616a8934f0fb", + "metadata": {}, + "source": [ + "```{literalinclude} ../ncl_raw/stdatmus_z2tdp.ncl\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "d918dec004b6456b", + "metadata": {}, + "source": [ + "## Python Functionality" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "47cd64dda7652b64", + "metadata": {}, + "outputs": [], + "source": [ + "from ambiance import Atmosphere\n", + "\n", + "results = {}\n", + "\n", + "height = 100 # meters\n", + "stdatmus_100 = Atmosphere(height)\n", + "\n", + "results[\"temperature\"] = stdatmus_100.temperature_in_celsius[0]\n", + "results[\"density\"] = stdatmus_100.density[0]\n", + "results[\"pressure\"] = stdatmus_100.pressure[0] / 100" + ] + }, + { + "cell_type": "markdown", + "id": "3237a0bffc6827fc", + "metadata": {}, + "source": [ + "## Comparison" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "1fe6a51d83a36148", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density: \n", + "\tpython:\t1.213282967332296\n", + "\tncl:\t1.213282\n", + "\n", + "temperature: \n", + "\tpython:\t14.350010225164397\n", + "\tncl:\t14.35\n", + "\n", + "pressure: \n", + "\tpython:\t1001.2945645595289\n", + "\tncl:\t1001.294\n", + "\n" + ] + } + ], + "source": [ + "import math\n", + "import numpy as np\n", + "\n", + "ncl_results = {\"temperature\": 14.35, \"density\": 1.213282, \"pressure\": 1001.294}\n", + "\n", + "for c in ncl_results.keys() & results.keys():\n", + " print(f\"{c}: \\n\\tpython:\\t{results[c]}\\n\\tncl:\\t{ncl_results[c]}\\n\")\n", + " if isinstance(ncl_results[c], np.ndarray):\n", + " assert (results[c] == ncl_results[c]).any()\n", + " else:\n", + " assert math.isclose(\n", + " results[c], results[c], rel_tol=1e-3\n", + " ) # within 3 decimal points" + ] + }, + { + "cell_type": "markdown", + "id": "f90f73fc-7d4f-4323-b1b4-84ab92315d7e", + "metadata": {}, + "source": [ + "# Differences" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "f5e6b318-4a17-46bc-b1dc-93707a79a4d4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density:\n", + "\t9.673322960424002e-07\n", + "temperature:\n", + "\t1.0225164396970854e-05\n", + "pressure:\n", + "\t0.0005645595289252014\n" + ] + } + ], + "source": [ + "for c in ncl_results.keys() & results.keys():\n", + " print(f\"{c}:\")\n", + " print(f\"\\t{results[c] - ncl_results[c]}\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From dc4bf8c79497788b0bad75d8ec2628e2ee8549c0 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Fri, 12 Jul 2024 14:32:16 -0600 Subject: [PATCH 03/15] NCL applications side bar --- ncl/ncl_entries/ncl_entries.rst | 1 + ncl/ncl_entries/stdatmus_z2tdp.ipynb | 2 +- 2 files changed, 2 insertions(+), 1 deletion(-) diff --git a/ncl/ncl_entries/ncl_entries.rst b/ncl/ncl_entries/ncl_entries.rst index 1bca1221..40e5d4ab 100644 --- a/ncl/ncl_entries/ncl_entries.rst +++ b/ncl/ncl_entries/ncl_entries.rst @@ -12,3 +12,4 @@ Dates and Times days_in_month.ipynb day_of_week.ipynb trigonometric_functions.ipynb + stdatmus_z2tdp.ipynb diff --git a/ncl/ncl_entries/stdatmus_z2tdp.ipynb b/ncl/ncl_entries/stdatmus_z2tdp.ipynb index bfe4c9c9..bde4fc65 100644 --- a/ncl/ncl_entries/stdatmus_z2tdp.ipynb +++ b/ncl/ncl_entries/stdatmus_z2tdp.ipynb @@ -13,7 +13,7 @@ "source": [ "## Overview\n", "Calculates the corresponding temperature, density, and pressure based height\n", - "- NCL [stdatmus_z2tdp](https://www.ncl.ucar.edu/Document/Functions/Built-in/stdatmus_z2tdp.shtml) function" + "- NCL [stdatmus_z2tdp](https://www.ncl.ucar.edu/Document/Functions/Built-in/stdatmus_z2tdp.shtml)" ] }, { From 1ce3c111b1f2814c84f4ff01846d73be043dd042 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Thu, 18 Jul 2024 11:35:58 -0600 Subject: [PATCH 04/15] atmosphere at 100 m --- .../data_analysis/stdatmus_z2tdp.ipynb | 111 ++++++++++++++++++ 1 file changed, 111 insertions(+) create mode 100644 applications/data_analysis/stdatmus_z2tdp.ipynb diff --git a/applications/data_analysis/stdatmus_z2tdp.ipynb b/applications/data_analysis/stdatmus_z2tdp.ipynb new file mode 100644 index 00000000..d1af4723 --- /dev/null +++ b/applications/data_analysis/stdatmus_z2tdp.ipynb @@ -0,0 +1,111 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Atmosphere Properties based on Height" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Overview\n", + "\n", + "The atmosphere changes based on height above sea-level. Properties like temperature, density, and pressure change with the altitude of observation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## [Ambiance](https://github.com/airinnova/ambiance/) Python Package\n", + "\n", + "Ambiance atmosphere properties:\n", + "- Density (`density`)\n", + "- Pressure (`pressure`)\n", + "- Temperature (`temperature_in_celsius`)\n", + "- Collision frequency (`collision_frequency`)\n", + "- Dynamic viscosity (`dynamic_viscosity`)\n", + "- Geometric height above [MSL](https://en.wikipedia.org/wiki/Sea_level) (`h`)\n", + "- Geopotential height (`H`)\n", + "- Gravitational acceleration (`grav_accel`)\n", + "- Kinematic viscosity (`kinematic_viscosity`)\n", + "- Layer names (`layer_name`)\n", + "- Mean free path (`mean_free_path`)\n", + "- Mean particle speed (`mean_particle_speed`)\n", + "- Number density (`number_density`)\n", + "- Pressure scale height (`pressure_scale_height`)\n", + "- Specific weight (`specific_weight`)\n", + "- Speed of sound (`speed_of_sound`)\n", + "- Temperature (`temperature`)\n", + "- Thermal conductivity (`thermal_conductivity`)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Layer Name : troposphere\n", + "Speed of sound : 339.90996496753064 m/s\n", + "Temperature : 14.350010225164397 C\n", + "Density : 1.213282967332296 kg/m^3\n", + "Pressure : 1001.2945645595289 hPa (mB)\n" + ] + } + ], + "source": [ + "from ambiance import Atmosphere\n", + "\n", + "height = 100 # meters\n", + "atmos_100 = Atmosphere(height)\n", + "\n", + "print(f\"Layer Name : {atmos_100.layer_name[0]}\")\n", + "print(f\"Speed of sound : {atmos_100.speed_of_sound[0]} m/s\")\n", + "print(f\"Temperature : {atmos_100.temperature_in_celsius[0]} C\")\n", + "print(f\"Density : {atmos_100.density[0]} kg/m^3\")\n", + "print(f\"Pressure : {atmos_100.pressure[0]/100} hPa (mB)\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "## Curated Resources\n", + "\n", + "To learn more about working with atmosphere properties in Python, we suggest:\n", + "- Python [`ambiance`](https://ambiance.readthedocs.io/en/latest/) documentation\n", + "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.8" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} From 43c592c5acc889dc02e48b1b8fa21e7c0c577c6a Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Thu, 18 Jul 2024 15:06:21 -0600 Subject: [PATCH 05/15] add plots to ambiance entry --- .codespellrc | 3 + .../data_analysis/stdatmus_z2tdp.ipynb | 337 +++++++++++++++++- 2 files changed, 325 insertions(+), 15 deletions(-) create mode 100644 .codespellrc diff --git a/.codespellrc b/.codespellrc new file mode 100644 index 00000000..58ceb31f --- /dev/null +++ b/.codespellrc @@ -0,0 +1,3 @@ +[codespell] +# Words to ignore +ignore-words-list = te,bu,fOf,ue diff --git a/applications/data_analysis/stdatmus_z2tdp.ipynb b/applications/data_analysis/stdatmus_z2tdp.ipynb index d1af4723..1985bbd9 100644 --- a/applications/data_analysis/stdatmus_z2tdp.ipynb +++ b/applications/data_analysis/stdatmus_z2tdp.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Atmosphere Properties based on Height" + "# Atmosphere Properties above Sea-Level" ] }, { @@ -13,16 +13,29 @@ "source": [ "## Overview\n", "\n", - "The atmosphere changes based on height above sea-level. Properties like temperature, density, and pressure change with the altitude of observation" + "The properties of the atmosphere change with the height above sea-level and this notebook will cover:\n", + "- International Standard Atmosphere\n", + "- `ambiance` Python package" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## [Ambiance](https://github.com/airinnova/ambiance/) Python Package\n", + "## International Standard Atmosphere\n", "\n", - "Ambiance atmosphere properties:\n", + "The International Standard Atmosphere represents a static model for how the atmosphere changes over a range of altitiudes above sea-level. The atmosphere is split into different named layers, where properties like temperature, pressure, and density change at predictable rates." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## [`ambiance`](https://ambiance.readthedocs.io/en/latest/) Python Package\n", + "\n", + "There are different models to represent the changing atmosphere. The older 1976 NASA _U.S Standard Atmosphere_ and the more recent 1993 International Civil Aviation Organization (ICAO) _Manual of the ICAO Standard Atmosphere_ which extends the efficacy of the 1976 model to 80 km. The `ambiance` package makes use of the 1993 model, but will [match the 1976 model in many parts](https://ambiance.readthedocs.io/en/latest/theory/references.html). `ambiance` supports altitudes from -5004 m to 81020 m measured at sea-level.\n", + "\n", + "`ambiance` atmosphere properties:\n", "- Density (`density`)\n", "- Pressure (`pressure`)\n", "- Temperature (`temperature_in_celsius`)\n", @@ -43,9 +56,18 @@ "- Thermal conductivity (`thermal_conductivity`)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Troposphere: 0 - 11,000 meters\n", + "\n", + "The troposphere represents the lowest layer of the Earth's atmospehre, which starts at ground levels and where humans live and most weather occurs." + ] + }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 63, "metadata": {}, "outputs": [ { @@ -53,10 +75,10 @@ "output_type": "stream", "text": [ "Layer Name : troposphere\n", - "Speed of sound : 339.90996496753064 m/s\n", - "Temperature : 14.350010225164397 C\n", "Density : 1.213282967332296 kg/m^3\n", - "Pressure : 1001.2945645595289 hPa (mB)\n" + "Pressure : 1001.2945645595289 hPa (mB)\n", + "Temperature : 14.350010225164397 C\n", + "Speed of sound : 339.90996496753064 m/s\n" ] } ], @@ -64,13 +86,296 @@ "from ambiance import Atmosphere\n", "\n", "height = 100 # meters\n", - "atmos_100 = Atmosphere(height)\n", + "atmos = Atmosphere(height)\n", + "\n", + "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", + "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", + "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", + "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", + "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Stratosphere: 20,000 - 47,000 m\n", + "\n", + "The stratosphere is where the ozone layer is found and a region where the temperature increases instead of decreases." + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Layer Name : stratosphere\n", + "Density : 0.0757146500085348 kg/m^3\n", + "Pressure : 47.2892567929209 hPa (mB)\n", + "Temperature : -55.56914646915547 C\n", + "Speed of sound : 295.70270855761527 m/s\n" + ] + } + ], + "source": [ + "from ambiance import Atmosphere\n", + "\n", + "height = 21000 # meters\n", + "atmos = Atmosphere(height)\n", + "\n", + "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", + "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", + "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", + "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", + "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Stratopause: 47,000 - 51,000 m\n", + "\n", + "The stratopause is a boundary level between the stratosphere and the mesophere, where the peak of the stratosphere occurs." + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Layer Name : stratopause\n", + "Density : 0.0009068993840302901 kg/m^3\n", + "Pressure : 0.704577924126659 hPa (mB)\n", + "Temperature : -2.5 C\n", + "Speed of sound : 329.79873100377444 m/s\n" + ] + } + ], + "source": [ + "from ambiance import Atmosphere\n", + "\n", + "height = 51000 # meters\n", + "atmos = Atmosphere(height)\n", + "\n", + "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", + "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", + "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", + "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", + "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Mesosphere: 51,000 - 84,852 m\n", + "\n", + "The mesosphere is an upper layer of the atmosphere where most meteors burn up in and where the coldest temperature in the Earth's atmosphere is found." + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Layer Name : mesosphere\n", + "Density : 0.0002732109244679118 kg/m^3\n", + "Pressure : 0.1915738320683427 hPa (mB)\n", + "Temperature : -28.876569042872546 C\n", + "Speed of sound : 313.3163659775633 m/s\n" + ] + } + ], + "source": [ + "from ambiance import Atmosphere\n", + "\n", + "height = 61000 # meters\n", + "atmos = Atmosphere(height)\n", + "\n", + "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", + "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", + "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", + "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", + "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Collect Changes in Atmosphere Properties with Altitude" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "from ambiance import Atmosphere\n", + "import numpy as np\n", + "\n", + "height_range = np.arange(-5004, 81020, 100)\n", + "density = []\n", + "pressure = []\n", + "temperature = []\n", + "speed_of_sound = []\n", + "\n", + "for height in height_range:\n", + " atmos = Atmosphere(height)\n", + " density.append(atmos.density[0])\n", + " pressure.append(atmos.pressure[0] / 100)\n", + " temperature.append(atmos.temperature_in_celsius[0])\n", + " speed_of_sound.append(atmos.speed_of_sound[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot Change in Density as Altitude Increases" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "plt.title(\"Change in Density as Altitude Increases\")\n", + "plt.xlabel(\"Height (m)\")\n", + "plt.ylabel(\"Density (kg/m^3)\")\n", + "plt.plot(height_range, density)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot Change in Pressure as Altitude Increases" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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pnXiNp556qrsb4ZEc+q/2Lk6nU6mpqUeccXEFGovFonfffVc//PCDPv74Y33xxRe66qqr9I9//EM//PCDYmNjlZqaqhUrVuiLL77Q//73P/3vf//T7NmzNWHCBPfepSO1Pj+8OYVLXZ0HT+TPID8/X4MGDVJ8fLweeughtW3bVpGRkVq+fLnuuusuj+/PP/7xD11xxRX673//qy+//FI33XSTZsyYoR9++KHO/Uwur732miTp1ltv1a233lrr/Hvvvacrr7zyiK9vCN7+PtdHfb8r3mrI/z6l2t8Z15/p7bffXmuW1MX1Dy1///vfdd999+mqq67Sww8/rCZNmshqteqWW27x+G506tRJ69at0yeffKLPP/9c7733np5//nndf//9evDBB91jL7/8ck2cOLHO9+zevXu9rgXAfxC2APiVc889V7NmzdKSJUvUr1+/Brvuu+++q4kTJ+of//iH+1hpaany8/OP63otW7aUVP0v4If+q/i+fftqzSy1bdtWRUVFGjp06HG9l79p27at5s+frwEDBtSrpfppp52m0047TX/729/0+uuva/z48XrzzTd19dVXS6peAnbeeefpvPPOk9Pp1PXXX6+XXnpJ9913n9q1a+eescvPz3cvTZQOzrDUt+bj/TP4+uuvtW/fPr3//vs644wz3MddXRsP161bN3Xr1k333nuvFi9erAEDBujFF1/UX//61zrHG4ah119/XWeeeWatZamS9PDDD2vu3LlHDVv1uRfXscYe+vt8qMN/n13f/fXr19e6xrp16zyee/tdaUht27bVjz/+qIqKCq+bcLRp00aSFB4efszvzLvvvqszzzxT//73vz2O5+fnKyUlxeNYTEyMLrvsMl122WUqLy/XRRddpL/97W+aNm2amjZtqri4OFVVVdXre3q0a9HuH/Af7NkC4FfuvPNOxcTE6Oqrr1Zubm6t8xs3bvRoC15fNput1r96P/vss8f9r/ZDhgxRWFiYXnjhBY/jzz33XK2xl156qZYsWaIvvvii1rn8/HxVVlYeVw1mufTSS1VVVaWHH3641rnKykr3X9bz8vJq/Z737NlTklRWViapOpweymq1uv/13jXGtR/v0H1VxcXF7pmv+tZ8vH8GrlmUQz9LeXm5nn/+eY9xDoej1nW6desmq9Xq/ix1+f7777VlyxZdeeWVuvjii2s9LrvsMi1cuFA7d+484jViYmLq3V7edZ+0w0NVy5YtZbPZau1fO/xzZmRkqGfPnnrllVc83nPevHnuluku9f2u+MLo0aO1d+/eOv+bPNYMWGpqqgYPHqyXXnpJu3btqnX+0NtA1PW/Le+88457T5fL4d/1iIgIde7cWYZhqKKiQjabTaNHj9Z7771X5+z+oe95rGsB8B/MbAHwK23bttXrr7+uyy67TJ06ddKECRPUtWtXlZeXa/HixXrnnXdq3cOqPs4991y9+uqrSkhIUOfOnbVkyRLNnz/fY0+FN9LS0nTzzTfrH//4h84//3yNGDFCK1eu1P/+9z+lpKR4zB7ccccd+uijj3TuuefqiiuuUO/evVVcXKxff/1V7777rrZs2VLrX8D92aBBgzR58mTNmDFDK1as0LBhwxQeHq7169frnXfe0TPPPKOLL75Yr7zyip5//nldeOGFatu2rQoLC/Wvf/1L8fHxOueccyRV30x5//79Ouuss9S8eXNt3bpVzz77rHr27KlOnTpJkoYNG6YWLVpo0qRJuuOOO2Sz2fTyyy+radOmys7OrlfNJ/Jn0L9/fyUlJWnixIm66aabZLFY9Oqrr9b6C/ZXX32lG264QZdcconat2+vyspKvfrqq+6/RB/J3LlzZbPZNGrUqDrPn3/++brnnnv05ptvaurUqXWO6d27t9566y1NnTpVp5xyimJjY3Xeeecdcawk3XTTTRo+fLhsNpvGjBmjhIQEXXLJJXr22WdlsVjUtm1bffLJJ3Xuq5oxY4ZGjRql008/XVdddZX279/vvu9TUVGRe1x9vyu+MGHCBP3nP//R1KlT9dNPP2ngwIEqLi7W/Pnzdf311+tPf/rTUV8/c+ZMnX766erWrZuuueYatWnTRrm5uVqyZIm2b9/uvo/Wueeeq4ceekhXXnml+vfvr19//VVz5851z465DBs2TOnp6RowYIDS0tL022+/6bnnnvNoivLII49o4cKF6tu3r6655hp17txZ+/fv1/LlyzV//nzt37+/3tcC4Ccavf8hANTDH3/8YVxzzTVGq1atjIiICCMuLs4YMGCA8eyzz3q0YpZkTJkypdbrW7Zs6dF+PS8vz7jyyiuNlJQUIzY21hg+fLjx+++/1xrnaid+eLvyutpiV1ZWGvfdd5+Rnp5uREVFGWeddZbx22+/GcnJycZ1113n8frCwkJj2rRpRrt27YyIiAgjJSXF6N+/v/HEE08Y5eXlR/29OFLr98NbjNfVorsuR/qMh5s4caIRExNzxPOzZs0yevfubURFRRlxcXFGt27djDvvvNPYuXOnYRiGsXz5cmPs2LFGixYtDLvdbqSmphrnnnuusXTpUvc13n33XWPYsGFGamqqERERYbRo0cKYPHmysWvXLo/3WrZsmdG3b1/3mCeffPKIrd9HjRpVZ70n8mfw/fffG6eddpoRFRVlZGZmGnfeeafxxRdfeHwnNm3aZFx11VVG27ZtjcjISKNJkybGmWeeacyfP/+I1y0vLzeSk5ONgQMHHvX9W7dubfTq1cswjLq/i0VFRca4ceOMxMREj/brdX0nKisrjRtvvNFo2rSpYbFYPNrA79mzxxg9erQRHR1tJCUlGZMnTzZWr15d5/fqvffeMzp16mTY7Xajc+fOxvvvv29MnDixzhb0x/quHMmRWr/X1fa8rvc+cOCAcc899xitW7c2wsPDjfT0dOPiiy82Nm7c6PH78/jjj9f5/hs3bjQmTJhgpKenG+Hh4UazZs2Mc88913j33XfdY0pLS43bbrvNyMjIMKKioowBAwYYS5YsqfXf7UsvvWScccYZRnJysmG32422bdsad9xxh1FQUODxnrm5ucaUKVOMrKwsd81DhgwxZs2a5fW1AJjPYhjHuZsUAFBLfn6+kpKS9Ne//lX33HOP2eUAAAATsWcLAI5TSUlJrWNPP/20pOqW3QAAILSxZwsAjtNbb72lOXPm6JxzzlFsbKy+++47vfHGGxo2bBj3uwEAAIQtADhe3bt3V1hYmB577DE5HA5304wjtfgGAAChhT1bAAAAAOAD7NkCAAAAAB8gbAEAAACAD7Bnqx6cTqd27typuLg4jxuVAgAAAAgthmGosLBQmZmZslqPPndF2KqHnTt3Kisry+wyAAAAAPiJbdu2qXnz5kcdQ9iqh7i4OEnVv6Hx8fEmVwMAAADALA6HQ1lZWe6McDSErXpwLR2Mj48nbAEAAACo1/YiGmQAAAAAgA8QtgAAAADABwhbAAAAAOADhC0AAAAA8AHCFgAAAAD4AGELAAAAAHyAsAUAAAAAPkDYAgAAAAAfIGwBAAAAgA8QtgAAAADABwhbAAAAAOADhC0AAAAA8AHCFgAAAAD4AGELAAAAAHyAsAUAAAAAPkDYAgAAAAAfIGwBAAAAgA8QtgAAAADABwhbAAAAAOADhC0AAAAA8AHCFgAAAAD4AGELAAAAAHyAsAUAAAAAPkDYAgAAAAAfIGwBAAAAgA8QtgAAAADABwhbAAAAAOADhC0AAAAA8AHCFgAAAAD4AGELAAAAAHwgzOwC4J0d+SX6dXuBUmIj1KdVE7PLAQAAAHAEzGwFmM9W7dJ1ry3TK0u2ml0KAAAAgKMgbAWYjMRISdKu/BKTKwEAAABwNIStAJORECVJ2lVQanIlAAAAAI6GsBVgMmtmtnIdpapyGiZXAwAAAOBICFsBpmmsXVaLVOk0tLeozOxyAAAAABwBYSvAhNmsSouvnt3ayb4tAAAAwG8RtgJQRkJNkwz2bQEAAAB+i7AVgDISq5tkMLMFAAAA+C9Tw9aiRYt03nnnKTMzUxaLRR9++KHHeYvFUufj8ccfd49p1apVrfOPPPKIx3VWrVqlgQMHKjIyUllZWXrsscca4+P5TGbNzFYOM1sAAACA3zI1bBUXF6tHjx6aOXNmned37drl8Xj55ZdlsVg0evRoj3EPPfSQx7gbb7zRfc7hcGjYsGFq2bKlli1bpscff1zTp0/XrFmzfPrZfIn27wAAAID/CzPzzUeOHKmRI0ce8Xx6errH8//+978688wz1aZNG4/jcXFxtca6zJ07V+Xl5Xr55ZcVERGhLl26aMWKFXryySd17bXXnviHMIGr/fvOApYRAgAAAP4qYPZs5ebm6tNPP9WkSZNqnXvkkUeUnJysXr166fHHH1dlZaX73JIlS3TGGWcoIiLCfWz48OFat26d8vLy6nyvsrIyORwOj4c/SXfNbOUzswUAAAD4K1NntrzxyiuvKC4uThdddJHH8Ztuukknn3yymjRposWLF2vatGnatWuXnnzySUlSTk6OWrdu7fGatLQ097mkpKRa7zVjxgw9+OCDPvokJ861Z2t3Yakqq5wKswVMZgYAAABCRsCErZdfflnjx49XZGSkx/GpU6e6f+7evbsiIiI0efJkzZgxQ3a7/bjea9q0aR7XdTgcysrKOr7CfSAl1q5wm0UVVYZyC8vUrKY7IQAAAAD/ERBTIt9++63WrVunq6+++phj+/btq8rKSm3ZskVS9b6v3NxcjzGu50fa52W32xUfH+/x8CdWq8V9Y+Mc9m0BAAAAfikgwta///1v9e7dWz169Djm2BUrVshqtSo1NVWS1K9fPy1atEgVFRXuMfPmzVOHDh3qXEIYKDITXPfaYt8WAAAA4I9MDVtFRUVasWKFVqxYIUnavHmzVqxYoezsbPcYh8Ohd955p85ZrSVLlujpp5/WypUrtWnTJs2dO1e33nqrLr/8cneQGjdunCIiIjRp0iStWbNGb731lp555hmPZYKBKKOmI+EuZrYAAAAAv2Tqnq2lS5fqzDPPdD93BaCJEydqzpw5kqQ333xThmFo7NixtV5vt9v15ptvavr06SorK1Pr1q116623egSphIQEffnll5oyZYp69+6tlJQU3X///QHb9t0lvaZJBjNbAAAAgH+yGIZhmF2Ev3M4HEpISFBBQYHf7N96ZfEWPfDRGg3vkqaX/tzH7HIAAACAkOBNNgiIPVuoLSPBtYyQmS0AAADAHxG2AlRmIg0yAAAAAH9G2ApQrpmtvUVlKq90mlwNAAAAgMMRtgJUk5gIRYRV//HlOpjdAgAAAPwNYStAWSwW9+zWznzavwMAAAD+hrAVwGiSAQAAAPgvwlYAy0yoaZLBjY0BAAAAv0PYCmAZiTUzW3QkBAAAAPwOYSuAZdTMbLGMEAAAAPA/hK0Aluma2WIZIQAAAOB3CFsBLD2emS0AAADAXxG2AphrZmt/cblKK6pMrgYAAADAoQhbASwhKlxR4TZJzG4BAAAA/oawFcAsFsshHQnZtwUAAAD4E8JWgMukIyEAAADglwhbAS4jgY6EAAAAgD8ibAU4V9jaycwWAAAA4FcIWwEuI7FmGSF7tgAAAAC/QtgKcAeXETKzBQAAAPgTwlaAy6yZ2drJzBYAAADgVwhbAc41s+UorVRxWaXJ1QAAAABwIWwFuLjIcMXZwySxlBAAAADwJ4StIJBO+3cAAADA7xC2gsDBjoTMbAEAAAD+grAVBDLd99piZgsAAADwF4StIJCRQEdCAAAAwN8QtoJAs6SaZYQ0yAAAAAD8BmErCGQmVi8j3JHHzBYAAADgLwhbQaBZTYOMHfklMgzD5GoAAAAASIStoJCeECmLRSqrdGp/cbnZ5QAAAAAQYSso2MNsahprl1Q9uwUAAADAfIStIJGZSEdCAAAAwJ8QtoKEqyPhDm5sDAAAAPgFwlaQcDfJoCMhAAAA4BcIW0EiM6G6/TvLCAEAAAD/QNgKEs2SoiXRIAMAAADwF4StIOG6sTEzWwAAAIB/IGwFieaJ1TNb+4rLVVpRZXI1AAAAAAhbQSI+KkwxETZJLCUEAAAA/AFhK0hYLBbutQUAAAD4EcJWEHHda4uwBQAAAJiPsBVEMrnXFgAAAOA3CFtBxH1j4/xSkysBAAAAQNgKIgfD1gGTKwEAAABA2AoiBxtkMLMFAAAAmI2wFURcNzbeVVAip9MwuRoAAAAgtBG2gkh6fKSsFqmiytCeojKzywEAAABCGmEriITZrEqPr57d4sbGAAAAgLkIW0GGe20BAAAA/oGwFWS41xYAAADgHwhbQeZgR0LCFgAAAGAmwlaQOXivLcIWAAAAYCbCVpA5GLa41xYAAABgJsJWkGEZIQAAAOAfCFtBxnVj44KSChWVVZpcDQAAABC6CFtBJi4yXPGRYZKY3QIAAADMRNgKQs2SoiXRJAMAAAAwE2ErCDWrWUrIvbYAAAAA8xC2ghBNMgAAAADzEbaCEPfaAgAAAMxH2ApCzGwBAAAA5iNsBaGDYYsbGwMAAABmIWwFoeZJ1WErx1GqyiqnydUAAAAAoYmwFYSaxtoVbrOoymkot7DM7HIAAACAkETYCkJWq0XpCdXt39m3BQAAAJiDsBWk3B0JudcWAAAAYArCVpDKpP07AAAAYCrCVpBqnhQtSdrOzBYAAABgCsJWkHJ1JNyed8DkSgAAAIDQRNgKUq6wxZ4tAAAAwByErSCV5VpGmF8ip9MwuRoAAAAg9BC2glR6QqSsFqm80qm9RdxrCwAAAGhshK0gFW6zKiOheinhNpYSAgAAAI2OsBXEmtEkAwAAADANYSuIHexIyMwWAAAA0NgIW0GMe20BAAAA5iFsBTHutQUAAACYh7AVxLjXFgAAAGAewlYQ415bAAAAgHkIW0GMe20BAAAA5iFsBTHutQUAAACYh7AV5LjXFgAAAGAOwlaQ415bAAAAgDkIW0GOe20BAAAA5iBsBbkslhECAAAApiBsBTnXzBb32gIAAAAaF2EryB26Z4t7bQEAAACNx9SwtWjRIp133nnKzMyUxWLRhx9+6HH+iiuukMVi8XiMGDHCY8z+/fs1fvx4xcfHKzExUZMmTVJRUZHHmFWrVmngwIGKjIxUVlaWHnvsMV9/NL+RkRApm9Wi8iqn9nCvLQAAAKDRmBq2iouL1aNHD82cOfOIY0aMGKFdu3a5H2+88YbH+fHjx2vNmjWaN2+ePvnkEy1atEjXXnut+7zD4dCwYcPUsmVLLVu2TI8//rimT5+uWbNm+exz+ZMwm1Xp8ZGS2LcFAAAANKYwM9985MiRGjly5FHH2O12paen13nut99+0+eff66ff/5Zffr0kSQ9++yzOuecc/TEE08oMzNTc+fOVXl5uV5++WVFRESoS5cuWrFihZ588kmPUBbMmidFaUd+ibbnlah3S7OrAQAAAEKD3+/Z+vrrr5WamqoOHTroL3/5i/bt2+c+t2TJEiUmJrqDliQNHTpUVqtVP/74o3vMGWecoYiICPeY4cOHa926dcrLy6vzPcvKyuRwODwegYz27wAAAEDj8+uwNWLECP3nP//RggUL9Oijj+qbb77RyJEjVVVVJUnKyclRamqqx2vCwsLUpEkT5eTkuMekpaV5jHE9d4053IwZM5SQkOB+ZGVlNfRHa1TNaf8OAAAANDpTlxEey5gxY9w/d+vWTd27d1fbtm319ddfa8iQIT5732nTpmnq1Knu5w6HI6AD16EdCQEAAAA0Dr+e2TpcmzZtlJKSog0bNkiS0tPTtXv3bo8xlZWV2r9/v3ufV3p6unJzcz3GuJ4faS+Y3W5XfHy8xyOQsYwQAAAAaHwBFba2b9+uffv2KSMjQ5LUr18/5efna9myZe4xX331lZxOp/r27eses2jRIlVUVLjHzJs3Tx06dFBSUlLjfgCTuGa2dnCvLQAAAKDRmBq2ioqKtGLFCq1YsUKStHnzZq1YsULZ2dkqKirSHXfcoR9++EFbtmzRggUL9Kc//Unt2rXT8OHDJUmdOnXSiBEjdM011+inn37S999/rxtuuEFjxoxRZmamJGncuHGKiIjQpEmTtGbNGr311lt65plnPJYJBjvutQUAAAA0PlPD1tKlS9WrVy/16tVLkjR16lT16tVL999/v2w2m1atWqXzzz9f7du316RJk9S7d299++23stvt7mvMnTtXHTt21JAhQ3TOOefo9NNP97iHVkJCgr788ktt3rxZvXv31m233ab7778/ZNq+S9xrCwAAADCDxTAM1pUdg8PhUEJCggoKCgJ2/9ZlLy3Rj5v365kxPfWnns3MLgcAAAAISN5kg4Das4XjR5MMAAAAoHERtkIE99oCAAAAGhdhK0Rwry0AAACgcRG2QgTLCAEAAIDGRdgKEVlNuNcWAAAA0JgIWyEiPZ57bQEAAACNibAVIsJsVmUkcK8tAAAAoLEQtkKIq0nGtv3s2wIAAAB8jbAVQg42yWBmCwAAAPA1wlYIadGkOmxl7ydsAQAAAL5G2AohhC0AAACg8RC2QkhWTdhizxYAAADge4StEOK619bOghKVVzpNrgYAAAAIboStENI01q7IcKsMQ9qZz+wWAAAA4EuErRBisVjYtwUAAAA0EsJWiCFsAQAAAI2DsBViDjbJIGwBAAAAvkTYCjFZScxsAQAAAI2BsBViXMsIt+URtgAAAABfImyFmBbJNTNb+whbAAAAgC8RtkKMaxmho7RSBQcqTK4GAAAACF6ErRATFWFT0zi7JPZtAQAAAL5E2ApBWUlRkghbAAAAgC8RtkIQ99oCAAAAfI+wFYLoSAgAAAD4HmErBHFjYwAAAMD3CFshiGWEAAAAgO8RtkKQa2ZrR16JKqucJlcDAAAABCfCVghKi49UhM2qSqehXQWlZpcDAAAABCXCVgiyWS1qXtP+nSYZAAAAgG8QtkIUTTIAAAAA3yJshSiaZAAAAAC+RdgKUVlNqpcRZu8vMbkSAAAAIDgRtkIUM1sAAACAbxG2QhR7tgAAAADfImyFKFfY2l9crqKySpOrAQAAAIIPYStExUeGKyk6XBKzWwAAAIAvELZCWBb7tgAAAACfIWyFMPZtAQAAAL5D2AphdCQEAAAAfIewFcJaMLMFAAAA+AxhK4QxswUAAAD4DmErhGUl1cxs5ZXI6TRMrgYAAAAILoStEJaRGCmb1aLySqd2F5aZXQ4AAAAQVAhbISzcZlVmYqQklhICAAAADY2wFeJc+7a27is2uRIAAAAguBC2QlzL5BhJzGwBAAAADY2wFeJa1sxsbdlH2AIAAAAaEmErxLlntlhGCAAAADQowlaIa5XCzBYAAADgC4StEOdqkFFQUqH8A+UmVwMAAAAED8JWiIuOCFNqnF2StJXZLQAAAKDBELagVjX7trawbwsAAABoMIQtqGWy615bzGwBAAAADYWwBXfYYmYLAAAAaDiELRzS/p2ZLQAAAKChELZwyJ4twhYAAADQUAhbUIuaZYR7i8pUVFZpcjUAAABAcCBsQQlR4UqKDpckbWXfFgAAANAgCFuQxL4tAAAAoKERtiBJauXuSEjYAgAAABoCYQuSDs5ssYwQAAAAaBiELUjixsYAAABAQyNsQRIzWwAAAEBDI2xB0sE9WzsLSlVaUWVyNQAAAEDgI2xBktQkJkKx9jBJ0rb9LCUEAAAAThRhC5Iki8XCvi0AAACgARG24NaqZt/WFvZtAQAAACeMsAU3ZrYAAACAhkPYgps7bLFnCwAAADhhhC240f4dAAAAaDiELbi59mxtzytRRZXT5GoAAACAwEbYgltqnF2R4VZVOQ3tyCsxuxwAAAAgoBG24Ga1WtSiCfu2AAAAgIZA2IIH9m0BAAAADYOwBQ+tajoSbtnLzBYAAABwIghb8NCiZmYrez8zWwAAAMCJIGzBg3tmixsbAwAAACeEsAUPrvbv2fsOqMppmFwNAAAAELgIW/CQkRCpcJtF5VVO5ThKzS4HAAAACFiELXgIs1nVPKmm/fte9m0BAAAAx4uwhVpap1QvJdxM+3cAAADguBG2UIs7bO0hbAEAAADHi7CFWlq5whbLCAEAAIDjRthCLW1YRggAAACcMMIWanEtI8zed0CVVU6TqwEAAAACE2ELtaTHRyoy3KpKp6HteSVmlwMAAAAEJMIWarFaLe6bG7NvCwAAADg+poatRYsW6bzzzlNmZqYsFos+/PBD97mKigrddddd6tatm2JiYpSZmakJEyZo586dHtdo1aqVLBaLx+ORRx7xGLNq1SoNHDhQkZGRysrK0mOPPdYYHy+gtaZJBgAAAHBCTA1bxcXF6tGjh2bOnFnr3IEDB7R8+XLdd999Wr58ud5//32tW7dO559/fq2xDz30kHbt2uV+3Hjjje5zDodDw4YNU8uWLbVs2TI9/vjjmj59umbNmuXTzxboCFsAAADAiQkz881HjhypkSNH1nkuISFB8+bN8zj23HPP6dRTT1V2drZatGjhPh4XF6f09PQ6rzN37lyVl5fr5ZdfVkREhLp06aIVK1boySef1LXXXttwHybIELYAAACAExNQe7YKCgpksViUmJjocfyRRx5RcnKyevXqpccff1yVlZXuc0uWLNEZZ5yhiIgI97Hhw4dr3bp1ysvLq/N9ysrK5HA4PB6hhrAFAAAAnBhTZ7a8UVpaqrvuuktjx45VfHy8+/hNN92kk08+WU2aNNHixYs1bdo07dq1S08++aQkKScnR61bt/a4VlpamvtcUlJSrfeaMWOGHnzwQR9+Gv/nCls7C0pUWlGlyHCbyRUBAAAAgSUgwlZFRYUuvfRSGYahF154wePc1KlT3T93795dERERmjx5smbMmCG73X5c7zdt2jSP6zocDmVlZR1f8QGqSUyE4iPD5Cit1NZ9B9QhPc7skgAAAICA4vfLCF1Ba+vWrZo3b57HrFZd+vbtq8rKSm3ZskWSlJ6ertzcXI8xrudH2udlt9sVHx/v8Qg1FotFrZvGSpI27y0yuRoAAAAg8Ph12HIFrfXr12v+/PlKTk4+5mtWrFghq9Wq1NRUSVK/fv20aNEiVVRUuMfMmzdPHTp0qHMJIQ5qnRwtSdrEvi0AAADAa6YuIywqKtKGDRvczzdv3qwVK1aoSZMmysjI0MUXX6zly5frk08+UVVVlXJyciRJTZo0UUREhJYsWaIff/xRZ555puLi4rRkyRLdeuutuvzyy91Baty4cXrwwQc1adIk3XXXXVq9erWeeeYZPfXUU6Z85kDSOqV6ZmsLYQsAAADwmqlha+nSpTrzzDPdz137pCZOnKjp06fro48+kiT17NnT43ULFy7U4MGDZbfb9eabb2r69OkqKytT69atdeutt3rst0pISNCXX36pKVOmqHfv3kpJSdH9999P2/d6aN2UjoQAAADA8bIYhmGYXYS/czgcSkhIUEFBQUjt31q9o0DnPvudUmIjtPTes80uBwAAADCdN9nAr/dswVytatq/7y0ql6O04hijAQAAAByKsIUjirWHqWlcdft89m0BAAAA3iFs4ahcNzdm3xYAAADgHcIWjqpNTdjatIewBQAAAHiDsIWjYmYLAAAAOD6ELRyVq0nGln2ELQAAAMAbhC0clWsZ4eY9xeIuAQAAAED9EbZwVC2So2WxSIVlldpbVG52OQAAAEDAIGzhqOxhNjVPipLEvi0AAADAG4QtHFOrZFeTjCKTKwEAAAACB2ELx+Tet7X3gMmVAAAAAIGDsIVjOtj+nZktAAAAoL4IWzim1k1jJbFnCwAAAPAGYQvH1DrZda+tA3I6af8OAAAA1AdhC8fULClK4TaLyiud2pFfYnY5AAAAQEAgbOGYbFaLuyPhJpYSAgAAAPVC2EK9tK3Zt7VpD00yAAAAgPogbKFe2jStntnaSNgCAAAA6oWwhXpxzWxt3M0yQgAAAKA+CFuol7apNcsIudcWAAAAUC+ELdSLaxlhrqNMhaUVJlcDAAAA+D/CFuolPjJcTePskqRNe1hKCAAAABwLYQv11pYmGQAAAEC9EbZQbwfbvzOzBQAAABwLYQv15u5IyMwWAAAAcEyELdQb99oCAAAA6o+whXpzzWxt2XtAVU7D5GoAAAAA/0bYQr01S4ySPcyq8iqntucdMLscAAAAwK8RtlBvVqtFbdi3BQAAANQLYQtece/b2k1HQgAAAOBoCFvwirv9+15mtgAAAICjIWzBK22Z2QIAAADqhbAFr3CvLQAAAKB+CFvwimvP1r7icuUfKDe5GgAAAMB/EbbgleiIMGUmREqSNu5hKSEAAABwJIQteK1tKksJAQAAgGMhbMFr7NsCAAAAjo2wBa9xry0AAADg2Ahb8Br32gIAAACOjbAFr7nCVva+A6qocppcDQAAAOCfCFvwWlq8XTERNlU6DW3dd8DscgAAAAC/RNiC1ywWi9rUzG5t2M1SQgAAAKAuhC0cl5No/w4AAAAcFWELx6VdWnXYWp9baHIlAAAAgH8ibOG4tHMtI2RmCwAAAKgTYQvH5aS0OEnVe7acTsPkagAAAAD/Q9jCcclKilJEmFWlFU7tyC8xuxwAAADA7xC2cFzCbFa1SYmRREdCAAAAoC6ELRy3djUdCdfvpkkGAAAAcDjCFo7bSanV+7bW5zKzBQAAAByOsIXj5prZoiMhAAAAUBthC8ftpJp7bW3ILZJh0JEQAAAAOBRhC8etVXKMbFaLCssqlesoM7scAAAAwK8QtnDcIsKsapkcLYkmGQAAAMDhCFs4ISe59m3R/h0AAADwQNjCCXF3JCRsAQAAAB4IWzgh7o6EtH8HAAAAPBC2cEJo/w4AAADUjbCFE9K2aawsFml/cbn2FdGREAAAAHAhbOGEREXY1DwpShL7tgAAAIBDEbZwwlxNMuhICAAAABxE2MIJo/07AAAAUBthCyesbU3Y4sbGAAAAwEGELZwwZrYAAACA2ghbOGGu9u+5jjIVlFSYXA0AAADgHwhbOGFxkeFKj4+UxOwWAAAA4ELYQoM4Ka1m31Yu+7YAAAAAibCFBuJq//5HLjNbAAAAgETYQgPpkE5HQgAAAOBQhC00iPZp1TNb63IIWwAAAIBE2EIDOakmbO0uLFP+gXKTqwEAAADMR9hCg4i1h6lZYpQk9m0BAAAAEmELDahDes1SQjoSAgAAAIQtNBzXvq0/2LcFAAAAKMybwfn5+frggw/07bffauvWrTpw4ICaNm2qXr16afjw4erfv7+v6kQAaF9zry1mtgAAAIB6zmzt3LlTV199tTIyMvTXv/5VJSUl6tmzp4YMGaLmzZtr4cKFOvvss9W5c2e99dZbvq4Zfso1s7U+t1CGYZhcDQAAAGCues1s9erVSxMnTtSyZcvUuXPnOseUlJToww8/1NNPP61t27bp9ttvb9BC4f/apcbKapHyDlRoT1GZUuMizS4JAAAAME29wtbatWuVnJx81DFRUVEaO3asxo4dq3379jVIcQgskeE2tUyO0ea9xfojp4iwBQAAgJBWr2WExwpaJzoewcO1b+sP9m0BAAAgxHndjfDQWatt27bp/vvv1x133KFvv/22QQtDYOrg6khI2AIAAECIq3fY+vXXX9WqVSulpqaqY8eOWrFihU455RQ99dRTmjVrls4880x9+OGHPiwVgeCkNO61BQAAAEhehK0777xT3bp106JFizR48GCde+65GjVqlAoKCpSXl6fJkyfrkUce8WWtCACuGxuvzy2iIyEAAABCWr3vs/Xzzz/rq6++Uvfu3dWjRw/NmjVL119/vazW6rx244036rTTTvNZoQgMrZJjFG6zqKisUjsLStUsMcrskgAAAABT1Htma//+/UpPT5ckxcbGKiYmRklJSe7zSUlJKixk6Vioiwizqk1KTZOMHL4PAAAACF1eNciwWCxHfQ5I0kl0JAQAAADqv4xQkq644grZ7XZJUmlpqa677jrFxMRIksrKyhq+OgSkDmlx+kS7aJIBAACAkFbvsDVx4kSP55dffnmtMRMmTDjxihDw2qfT/h0AAACod9iaPXt2g7/5okWL9Pjjj2vZsmXatWuXPvjgA11wwQXu84Zh6IEHHtC//vUv5efna8CAAXrhhRd00kknucfs379fN954oz7++GNZrVaNHj1azzzzjGJjY91jVq1apSlTpujnn39W06ZNdeONN+rOO+9s8M+Dau1r2r9v2F2kKqchm5XlpgAAAAg9Xt/UuCEVFxerR48emjlzZp3nH3vsMf3zn//Uiy++qB9//FExMTEaPny4SktL3WPGjx+vNWvWaN68efrkk0+0aNEiXXvtte7zDodDw4YNU8uWLbVs2TI9/vjjmj59umbNmuXzzxeqWjSJlj3MqtIKp7btP2B2OQAAAIApLIaXN0MqLS3Vs88+q4ULF2r37t1yOp0e55cvX358hVgsHjNbhmEoMzNTt912m26//XZJUkFBgdLS0jRnzhyNGTNGv/32mzp37qyff/5Zffr0kSR9/vnnOuecc7R9+3ZlZmbqhRde0D333KOcnBxFRERIku6++259+OGH+v333+tVm8PhUEJCggoKChQfH39cny/UnPvst1q9w6GX/txbw7ukm10OAAAA0CC8yQZeNciQpEmTJunLL7/UxRdfrFNPPdVnHQk3b96snJwcDR061H0sISFBffv21ZIlSzRmzBgtWbJEiYmJ7qAlSUOHDpXVatWPP/6oCy+8UEuWLNEZZ5zhDlqSNHz4cD366KPKy8vzaF/vUlZW5tHww+Fw+OQzBrP2aXFavcOhdTmFhC0AAACEJK/D1ieffKLPPvtMAwYM8EU9bjk5OZKktLQ0j+NpaWnuczk5OUpNTfU4HxYWpiZNmniMad26da1ruM7VFbZmzJihBx98sGE+SIjqWNMkYx332gIAAECI8nrPVrNmzRQXF+eLWvzGtGnTVFBQ4H5s27bN7JICTsf06inV33KYFQQAAEBo8jps/eMf/9Bdd92lrVu3+qIet/T06qVnubm5Hsdzc3Pd59LT07V7926P85WVldq/f7/HmLquceh7HM5utys+Pt7jAe90zKgO5Fv2Fqu0osrkagAAAIDG53XY6tOnj0pLS9WmTRvFxcWpSZMmHo+G0rp1a6Wnp2vBggXuYw6HQz/++KP69esnSerXr5/y8/O1bNky95ivvvpKTqdTffv2dY9ZtGiRKioq3GPmzZunDh061LmEEA2jaaxdyTERchrS+twis8sBAAAAGp3Xe7bGjh2rHTt26O9//7vS0tJOqEFGUVGRNmzY4H6+efNmrVixQk2aNFGLFi10yy236K9//atOOukktW7dWvfdd58yMzPdHQs7deqkESNG6JprrtGLL76oiooK3XDDDRozZowyMzMlSePGjdODDz6oSZMm6a677tLq1av1zDPP6KmnnjruunFsFotFHTPi9P2Gffotx6FuzRPMLgkAAABoVF6HrcWLF2vJkiXq0aPHCb/50qVLdeaZZ7qfT506VZI0ceJEzZkzR3feeaeKi4t17bXXKj8/X6effro+//xzRUZGul8zd+5c3XDDDRoyZIj7psb//Oc/3ecTEhL05ZdfasqUKerdu7dSUlJ0//33e9yLC77RIS1e32/Yp9930SQDAAAAocfr+2ydfPLJev7553Xaaaf5qia/w322js/bS7fpzndXqX/bZL1+Teh8XwAAABC8vMkGXu/ZeuSRR3Tbbbfp66+/1r59++RwODwegEsnV0fCXQ55mekBAACAgOf1MsIRI0ZIkoYMGeJx3DAMWSwWVVXReQ7VTkqLldUi5R2o0J7CMqXGRx77RQAAAECQ8DpsLVy40Bd1IAhFhtvUOiVGG/cU6/ecQsIWAAAAQorXYWvQoEG+qANBqmNGfE3YcuiM9k3NLgcAAABoNF7v2QK80Sm9+ubGdCQEAABAqCFswac6uJpk5BC2AAAAEFoIW/CpjjUzWxt2F6qiymlyNQAAAEDjIWzBp5onRSnWHqaKKkOb9hSbXQ4AAADQaAhb8CmLxeKe3fo9h/uwAQAAIHR43Y1Qkt599129/fbbys7OVnl5uce55cuXN0hhCB4dM+K0dGuefs8p1J/MLgYAAABoJF7PbP3zn//UlVdeqbS0NP3yyy869dRTlZycrE2bNmnkyJG+qBEBrmNNk4zfdzGzBQAAgNDhddh6/vnnNWvWLD377LOKiIjQnXfeqXnz5ummm25SQUGBL2pEgOuU4VpGSEdCAAAAhA6vw1Z2drb69+8vSYqKilJhYfVfoP/85z/rjTfeaNjqEBTap1WHrV0Fpco/UH6M0QAAAEBw8Dpspaena//+/ZKkFi1a6IcffpAkbd68WYZhNGx1CApxkeFqnhQlidktAAAAhA6vw9ZZZ52ljz76SJJ05ZVX6tZbb9XZZ5+tyy67TBdeeGGDF4jgwL4tAAAAhBqvuxHOmjVLTmf1zWmnTJmi5ORkLV68WOeff74mT57c4AUiOHTKiNP833L12y5mtgAAABAavApbP/zwgz7++GOVl5dryJAhGjFihMaMGaMxY8b4qj4Eic4Z1TNba5nZAgAAQIiod9h69913ddlllykqKkrh4eF68skn9eijj+r222/3ZX0IEp0zq8PWutxCVVQ5FW7jftoAAAAIbvX+G++MGTN0zTXXqKCgQHl5efrrX/+qv//9776sDUEkKylacfYwlVc6tWlPsdnlAAAAAD5X77C1bt063X777bLZbJKk2267TYWFhdq9e7fPikPwsFot6uReSsj92AAAABD86h22Dhw4oPj4ePfziIgIRUZGqqioyCeFIfi4lhKu3cm+LQAAAAQ/rxpk/L//9/8UGxvrfl5ZWak5c+YoJSXFfeymm25quOoQVGiSAQAAgFBiMep5J+JWrVrJYrEc/WIWizZt2tQghfkTh8OhhIQEFRQUeMzuwTurdxTo3Ge/U1J0uJbfd/Yxv08AAACAv/EmG9R7ZmvLli0nWhdCXLvUWIVZLco7UKFdBaXKTIwyuyQAAADAZ+i/jUYTGW5Tu9TqZajs2wIAAECw82rPlsuCBQu0YMEC7d69W06n0+Pcyy+/3CCFITh1zozX7zmFWrvLoaGd08wuBwAAAPAZr2e2HnzwQQ0bNkwLFizQ3r17lZeX5/EAjsbdJIOZLQAAAAQ5r2e2XnzxRc2ZM0d//vOffVEPgpy7/TsdCQEAABDkvJ7ZKi8vV//+/X1RC0KAa2Yre/8BOUorTK4GAAAA8B2vw9bVV1+t119/3Re1IAQkRkeoWU0Xwt93FZpcDQAAAOA79VpGOHXqVPfPTqdTs2bN0vz589W9e3eFh4d7jH3yyScbtkIEnU4Z8dqRX6I1Owt0ausmZpcDAAAA+ES9wtYvv/zi8bxnz56SpNWrV3sc5ya1qI8umfGa/1suTTIAAAAQ1OoVthYuXOjrOhBCaJIBAACAUMBNjdHoXE0y1ucWqbzSeYzRAAAAQGCqV9i67rrrtH379npd8K233tLcuXNPqCgEt+ZJUYqLDFN5lVMb9xSZXQ4AAADgE/VaRti0aVN16dJFAwYM0Hnnnac+ffooMzNTkZGRysvL09q1a/Xdd9/pzTffVGZmpmbNmuXruhHALBaLOmfE68fN+7V2p0Odama6AAAAgGBSr5mthx9+WH/88YcGDBig559/XqeddppatGih1NRUdejQQRMmTNCmTZs0a9Ys/fDDD+revbuv60aAc+3bWkOTDAAAAASpes1sSVJaWpruuece3XPPPcrLy1N2drZKSkqUkpKitm3b0okQXumSmSBJWrOzwORKAAAAAN+od9g6VFJSkpKSkhq6FoSQrs0Ozmw5nYasVsI6AAAAggvdCGGKdk1jFRluVVFZpbbsKza7HAAAAKDBEbZgijCb1d0YYzX7tgAAABCECFswTdeafVurd7BvCwAAAMGHsAXTdGtWHbZ+3U7YAgAAQPA5rrBVWVmp+fPn66WXXlJhYaEkaefOnSoq4ga1qL8uzVzLCAtkGIbJ1QAAAAANy+tuhFu3btWIESOUnZ2tsrIynX322YqLi9Ojjz6qsrIyvfjii76oE0GofVqcIsKsKiytVPb+A2qZHGN2SQAAAECD8Xpm6+abb1afPn2Ul5enqKgo9/ELL7xQCxYsaNDiENzCbVZ1So+TJK3eQZMMAAAABBevw9a3336re++9VxERER7HW7VqpR07djRYYQgNXVz7tmiSAQAAgCDjddhyOp2qqqqqdXz79u2Ki4trkKIQOlxNMuhICAAAgGDjddgaNmyYnn76afdzi8WioqIiPfDAAzrnnHMasjaEAHf7d5pkAAAAIMh4HbaeeOIJff/99+rcubNKS0s1btw49xLCRx991Bc1Ioi1T49VuM2i/AMV2p5XYnY5AAAAQIPxuhthVlaWVq5cqbfeeksrV65UUVGRJk2apPHjx3s0zADqwx5mU/u0OK3Z6dDqHQXKahJtdkkAAABAg/AqbFVUVKhjx4765JNPNH78eI0fP95XdSGEdGuWUB22dhZoZLcMs8sBAAAAGoRXywjDw8NVWlrqq1oQorq6OxLS/h0AAADBw+s9W1OmTNGjjz6qyspKX9SDENT1kI6ENMkAAABAsPB6z9bPP/+sBQsW6Msvv1S3bt0UExPjcf79999vsOIQGjqmx8lmtWh/cbl2FZQqM5G9fwAAAAh8XoetxMREjR492he1IERFhtt0Umqsfs8p1K87CghbAAAACApeh63Zs2f7og6EuG7NEvR7TqHW7CjQ8C7pZpcDAAAAnDCv92wBvtCtefW+rVU7CkyuBAAAAGgYXs9stW7dWhaL5YjnN23adEIFITS5OxJur26ScbTvGAAAABAIvA5bt9xyi8fziooK/fLLL/r88891xx13NFRdCDGdM+IVZrVoX3G5duSXqHkSNzcGAABAYPM6bN188811Hp85c6aWLl16wgUhNEWG29QxI06rdzi0ansBYQsAAAABr8H2bI0cOVLvvfdeQ10OIah780RJ0spt+abWAQAAADSEBgtb7777rpo0adJQl0MI6lHTJGPl9nxzCwEAAAAagNfLCHv16uXRvMAwDOXk5GjPnj16/vnnG7Q4hBbXzNbqHQ45nYasVppkAAAAIHB5HbYuuOACj+dWq1VNmzbV4MGD1bFjx4aqCyHopNRYRYZbVVRWqU17i9QuNc7skgAAAIDj5nXYeuCBB3xRB6Awm1VdMxO0dGueVm4rIGwBAAAgoHm9Z2v58uX69ddf3c//+9//6oILLtD//d//qby8vEGLQ+jpkZUoSVrFvi0AAAAEOK/D1uTJk/XHH39Iqr6B8WWXXabo6Gi98847uvPOOxu8QISW7jVNMlZsLzC5EgAAAODEeB22/vjjD/Xs2VOS9M4772jQoEF6/fXXNWfOHFq/44T1qGmS8dtOh8orneYWAwAAAJwAr8OWYRhyOqv/Ejx//nydc845kqSsrCzt3bu3YatDyGmZHK2EqHCVVzm1LqfQ7HIAAACA4+Z12OrTp4/++te/6tVXX9U333yjUaNGSZI2b96stLS0Bi8QocVisbiXEnK/LQAAAAQyr8PW008/reXLl+uGG27QPffco3bt2kmqvqlx//79G7xAhB5X2KJJBgAAAAKZ163fu3fv7tGN0OXxxx+XzWZrkKIQ2lz7tlbRJAMAAAABzOuZrW3btmn79u3u5z/99JNuueUW/ec//1F4eHiDFofQ5Gr//kduoQ6UV5pbDAAAAHCcvA5b48aN08KFCyVJOTk5Ovvss/XTTz/pnnvu0UMPPdTgBSL0pMVHKi3eLqchrd7hMLscAAAA4Lh4HbZWr16tU089VZL09ttvq2vXrlq8eLHmzp2rOXPmNHR9CFHd3UsJ802tAwAAADheXoetiooK2e12SdWt388//3xJUseOHbVr166GrQ4hq4e7IyH7tgAAABCYvA5bXbp00Ysvvqhvv/1W8+bN04gRIyRJO3fuVHJycoMXiNDk2re1clu+qXUAAAAAx8vrsPXoo4/qpZde0uDBgzV27Fj16NFDkvTRRx+5lxcCJ8q1jDB7/wHtKyoztxgAAADgOHjd+n3w4MHau3evHA6HkpKS3MevvfZaRUdHN2hxCF0JUeFqlxqrDbuLtGJbvoZ04obZAAAACCxez2xJkmEYWrZsmV566SUVFhZKkiIiIghbaFC9apYS/pKdb2odAAAAwPHwemZr69atGjFihLKzs1VWVqazzz5bcXFxevTRR1VWVqYXX3zRF3UiBPVqkaR3lm3XL9vyzC4FAAAA8JrXM1s333yz+vTpo7y8PEVFRbmPX3jhhVqwYEGDFofQ1qtFoiRp5bYCVTkNc4sBAAAAvOT1zNa3336rxYsXKyIiwuN4q1attGPHjgYrDGifFqfoCJuKyiq1YXeROqTHmV0SAAAAUG9ez2w5nU5VVVXVOr59+3bFxfGXYTQcm9WiHjVdCX/JZikhAAAAAovXYWvYsGF6+umn3c8tFouKior0wAMP6JxzzmnI2gD3UkKaZAAAACDQeL2M8IknntCIESPUuXNnlZaWaty4cVq/fr1SUlL0xhtv+KJGhLBeLapvL0CTDAAAAAQar8NWVlaWVq5cqbfeeksrV65UUVGRJk2apPHjx3s0zAAaQs+a9u/rdxfJUVqh+MhwcwsCAAAA6smrZYQVFRVq27at1q9fr/Hjx+uxxx7T888/r6uvvtpnQatVq1ayWCy1HlOmTJFUfZPlw89dd911HtfIzs7WqFGjFB0drdTUVN1xxx2qrKz0Sb1oWE3j7GqeFCXDkFZtKzC7HAAAAKDevJrZCg8PV2lpqa9qqdPPP//s0ZBj9erVOvvss3XJJZe4j11zzTV66KGH3M8PvblyVVWVRo0apfT0dC1evFi7du3ShAkTFB4err///e+N8yFwQnq1SNL2vBL9kp2n009KMbscAAAAoF68bpAxZcoUPfroo402M9S0aVOlp6e7H5988onatm2rQYMGucdER0d7jImPj3ef+/LLL7V27Vq99tpr6tmzp0aOHKmHH35YM2fOVHl5eaN8BpyYXjVLCX/Zlm9qHQAAAIA3vA5bP//8s95//321aNFCw4cP10UXXeTx8KXy8nK99tpruuqqq2SxWNzH586dq5SUFHXt2lXTpk3TgQMH3OeWLFmibt26KS0tzX1s+PDhcjgcWrNmTZ3vU1ZWJofD4fGAeQ52JMyTYXBzYwAAAAQGrxtkJCYmavTo0b6o5Zg+/PBD5efn64orrnAfGzdunFq2bKnMzEytWrVKd911l9atW6f3339fkpSTk+MRtCS5n+fk5NT5PjNmzNCDDz7omw8Br3XOjFeEzaq8AxXK3n9ALZNjzC4JAAAAOCavw9bs2bN9UUe9/Pvf/9bIkSOVmZnpPnbttde6f+7WrZsyMjI0ZMgQbdy4UW3btj2u95k2bZqmTp3qfu5wOJSVlXX8heOE2MNs6tIsXr9k5+uX7HzCFgAAAAJCvZcROp1OPfrooxowYIBOOeUU3X333SopKfFlbR62bt2q+fPn6+qrrz7quL59+0qSNmzYIElKT09Xbm6uxxjX8/T09DqvYbfbFR8f7/GAuXpl1dxvK5v7bQEAACAw1Dts/e1vf9P//d//KTY2Vs2aNdMzzzzjbr/eGGbPnq3U1FSNGjXqqONWrFghScrIyJAk9evXT7/++qt2797tHjNv3jzFx8erc+fOPqsXDcu9b4smGQAAAAgQ9Q5b//nPf/T888/riy++0IcffqiPP/5Yc+fOldPp9GV9kqpn1WbPnq2JEycqLOzgyseNGzfq4Ycf1rJly7RlyxZ99NFHmjBhgs444wx1795dkjRs2DB17txZf/7zn7Vy5Up98cUXuvfeezVlyhTZ7Xaf146G4Qpba3c6VFJedfTBAAAAgB+od9jKzs7WOeec434+dOhQWSwW7dy50yeFHWr+/PnKzs7WVVdd5XE8IiJC8+fP17Bhw9SxY0fddtttGj16tD7++GP3GJvNpk8++UQ2m039+vXT5ZdfrgkTJnjclwv+r1lilNLi7ap0GlrB7BYAAAACQL0bZFRWVioyMtLjWHh4uCoqKhq8qMMNGzaszpbfWVlZ+uabb475+pYtW+qzzz7zRWloJBaLRX1aNtGnv+7Ssq371a9tstklAQAAAEdV77BlGIauuOIKj6V3paWluu666xQTc7A7nKvlOtDQerdM0qe/7tLSrTTJAAAAgP+rd9iaOHFirWOXX355gxYDHE2fVtUdCZdvzZPTachqtRzjFQAAAIB56h22zLy/FiBJnTLiFRVuk6O0Uhv2FKl9WpzZJQEAAABHVO8GGYDZwm1W9chKkCQt3cJSQgAAAPg3whYCSp+WTSRJS7fuN7kSAAAA4OgIWwgovWv2bS2jSQYAAAD8HGELAeXkFkmyWKSt+w5oT2GZ2eUAAAAAR0TYQkBJiApX+9TqxhjLWEoIAAAAP0bYQsBxLSWkSQYAAAD8GWELAadPy5p9W9mELQAAAPgvwhYCTu+asLV6R4FKK6pMrgYAAACoG2ELAadFk2ilxNpVUWVo1fYCs8sBAAAA6kTYQsCxWCzupYTcbwsAAAD+irCFgNTHdb8tmmQAAADATxG2EJB6H9Ikw+k0TK4GAAAAqI2whYDUJTNBkeFW5R+o0MY9RWaXAwAAANRC2EJAigiz6uQW1bNbP25m3xYAAAD8D2ELAevU1k0kST8RtgAAAOCHCFsIWIeGLcNg3xYAAAD8C2ELAatXVpLCbRblOEq1bX+J2eUAAAAAHghbCFhRETZ1b54oSfpx8z5ziwEAAAAOQ9hCQGPfFgAAAPwVYQsBzR22thC2AAAA4F8IWwhovVsmyWqRtu47oJyCUrPLAQAAANwIWwho8ZHh6pwZL4nZLQAAAPgXwhYC3qmtkiVJP9EkAwAAAH6EsIWAR5MMAAAA+CPCFgLeKa2SJEl/5BYpr7jc5GoAAACAaoQtBLzkWLtOSo2VJP3Mvi0AAAD4CcIWggJLCQEAAOBvCFsICtxvCwAAAP6GsIWg4Apbq3cUqLC0wuRqAAAAAMIWgkRGQpRaJkfLaUhLt+SZXQ4AAABA2ELw6Nem+n5bSzZxvy0AAACYj7CFoNGvbXXYWrxxr8mVAAAAAIQtBBHXzNaanQ4VHGDfFgAAAMxF2ELQSI2PVNumMTIM6cfNLCUEAACAuQhbCCoHlxIStgAAAGAuwhaCSr82KZKkH2iSAQAAAJMRthBUTmtTfb+t33MKta+ozORqAAAAEMoIWwgqybF2dUyPkyT9sGm/ydUAAAAglBG2EHROc99vixbwAAAAMA9hC0GHJhkAAADwB4QtBJ3TWifLYpE27SlWrqPU7HIAAAAQoghbCDoJ0eHqkhkvia6EAAAAMA9hC0GpX82+rcUbCFsAAAAwB2ELQal/2+r7bS1hZgsAAAAmIWwhKJ3SuolsVouy9x/Q9rwDZpcDAACAEETYQlCKtYepe/MESSwlBAAAgDkIWwhaA9tVLyX8dgP32wIAAEDjI2whaJ1+UlNJ0vcb9srpNEyuBgAAAKGGsIWg1TMrUdERNu0vLtfaXQ6zywEAAECIIWwhaEWEWXVaTQv471hKCAAAgEZG2EJQO71m39Z36wlbAAAAaFyELQS1gSdVh62ftuxXaUWVydUAAAAglBC2ENTapcYqLd6u8kqnlm7JM7scAAAAhBDCFoKaxWLR6e2quxJ+u2GPydUAAAAglBC2EPRcSwnZtwUAAIDGRNhC0BtQ0yRjzU6H9hWVmVwNAAAAQgVhC0GvaZxdHdPjJEnfb9xncjUAAAAIFYQthISDSwnZtwUAAIDGQdhCSDj9pOomGd+t3yvDMEyuBgAAAKGAsIWQcGqrJoqwWbWzoFSb9habXQ4AAABCAGELISEqwqY+rZIkSd/+wVJCAAAA+B5hCyFjUPvqpYRfE7YAAADQCAhbCBmDO6RKkpZs3KfSiiqTqwEAAECwI2whZLRPi1V6fKTKKp36cfN+s8sBAABAkCNsIWRYLBYN7lCzlHDdbpOrAQAAQLAjbCGkuMLWN+vYtwUAAADfImwhpPRvl6Iwq0Wb9hYre98Bs8sBAABAECNsIaTER4br5JbVLeC/+YOlhAAAAPAdwhZCzsF9WywlBAAAgO8QthByBrevbgG/mBbwAAAA8CHCFkJOp4w4pcbZVVJRpaVb8swuBwAAAEGKsIWQY7FYNKg9LeABAADgW4QthKTBHaqXEn79B/u2AAAA4BuELYSk09ulyGqRNuwu0vY8WsADAACg4RG2EJISosN1covqFvAL6UoIAAAAHyBsIWSd2bF6KeHC39m3BQAAgIZH2ELIGtKpOmx9v2GvSsppAQ8AAICGRdhCyOqQFqdmiVEqq3Tquw17zS4HAAAAQYawhZBlsVg0tGZ266vfc02uBgAAAMGGsIWQdlanNEnSgt92y+k0TK4GAAAAwYSwhZB2WpsmiomwaXdhmVbvLDC7HAAAAAQRwhZCmj3MpoEnNZVUPbsFAAAANBTCFkLeWTX7thawbwsAAAANiLCFkHdWx1RZLNLqHQ7lFJSaXQ4AAACChF+HrenTp8tisXg8Onbs6D5fWlqqKVOmKDk5WbGxsRo9erRycz1nJ7KzszVq1ChFR0crNTVVd9xxhyorKxv7o8CPpcTa1TMrUZL0FTc4BgAAQAPx67AlSV26dNGuXbvcj++++8597tZbb9XHH3+sd955R99884127typiy66yH2+qqpKo0aNUnl5uRYvXqxXXnlFc+bM0f3332/GR4EfG9KxZinhbywlBAAAQMPw+7AVFham9PR09yMlJUWSVFBQoH//+9968sknddZZZ6l3796aPXu2Fi9erB9++EGS9OWXX2rt2rV67bXX1LNnT40cOVIPP/ywZs6cqfLycjM/FvzMkJoW8N9t2KuS8iqTqwEAAEAw8PuwtX79emVmZqpNmzYaP368srOzJUnLli1TRUWFhg4d6h7bsWNHtWjRQkuWLJEkLVmyRN26dVNaWpp7zPDhw+VwOLRmzZojvmdZWZkcDofHA8GtY3qcmiVGqazSqcUb95pdDgAAAIKAX4etvn37as6cOfr888/1wgsvaPPmzRo4cKAKCwuVk5OjiIgIJSYmerwmLS1NOTk5kqScnByPoOU67zp3JDNmzFBCQoL7kZWV1bAfDH7HYrHorJqlhPPWspQQAAAAJ86vw9bIkSN1ySWXqHv37ho+fLg+++wz5efn6+233/bp+06bNk0FBQXux7Zt23z6fvAPw7ukS6oOW1VOw+RqAAAAEOj8OmwdLjExUe3bt9eGDRuUnp6u8vJy5efne4zJzc1Venr1X5rT09NrdSd0PXeNqYvdbld8fLzHA8Gvb5smSogK177ici3bmmd2OQAAAAhwARW2ioqKtHHjRmVkZKh3794KDw/XggUL3OfXrVun7Oxs9evXT5LUr18//frrr9q9+2A773nz5ik+Pl6dO3du9Prh38JtVndXwi/WHHmZKQAAAFAffh22br/9dn3zzTfasmWLFi9erAsvvFA2m01jx45VQkKCJk2apKlTp2rhwoVatmyZrrzySvXr10+nnXaaJGnYsGHq3Lmz/vznP2vlypX64osvdO+992rKlCmy2+0mfzr4o2E1Swm/WJMjw2ApIQAAAI5fmNkFHM327ds1duxY7du3T02bNtXpp5+uH374QU2bNpUkPfXUU7JarRo9erTKyso0fPhwPf/88+7X22w2ffLJJ/rLX/6ifv36KSYmRhMnTtRDDz1k1keCnxvUvqkiw63anleitbsc6pKZYHZJAAAACFAWg3++PyaHw6GEhAQVFBSwfysEXPufpfpyba5uGnKSpp7d3uxyAAAA4Ee8yQZ+vYwQMIOrK+GX7NsCAADACSBsAYcZ0ilVNqtFv+cUasveYrPLAQAAQIAibAGHSYyO0GltmkiiKyEAAACOH2ELqMPwQ7oSAgAAAMeDsAXUYVjn6rC1PDtfux2lJlcDAACAQETYAuqQnhCpHlmJkqQv1+aaWwwAAAACEmELOIIRNUsJP1/NUkIAAAB4j7AFHME53arD1uKNe7WvqMzkagAAABBoCFvAEbRMjlG3ZglyGtIXa1hKCAAAAO8QtoCjOKdbhiTp0193mlwJAAAAAg1hCziKUTVha8nGfdrLUkIAAAB4gbAFHEWL5Gh1b169lJBGGQAAAPAGYQs4BtdSws9+3WVyJQAAAAgkhC3gGFxLCX/YtE97CllKCAAAgPohbAHHkNUkWj1cSwnXsJQQAAAA9UPYAurB3ZVwFV0JAQAAUD+ELaAeXGHrx837tbuw1ORqAAAAEAgIW0A9ZDWJVo+sRBmG9AVdCQEAAFAPhC2gns6tmd36eCVdCQEAAHBshC2gnkZ1z5DFIv20Zb925JeYXQ4AAAD8HGELqKfMxCid2qqJJOmjFTTKAAAAwNERtgAvXNCrmSTpvyt2mFwJAAAA/B1hC/DCyK7pCrdZ9HtOoX7PcZhdDgAAAPwYYQvwQmJ0hAZ3SJUk/ZelhAAAADgKwhbgpT/1zJRUvW/L6TRMrgYAAAD+irAFeGlopzTF2sO0I79ES7fmmV0OAAAA/BRhC/BSZLhNw7ukS6JRBgAAAI6MsAUcB9dSwk9/3aXySqfJ1QAAAMAfEbaA49C/bbJSYu3KP1ChRX/sMbscAAAA+CHCFnAcwmxWndcjQ5L0IUsJAQAAUAfCFnCcLuhZfYPjeWtzVVBSYXI1AAAA8DeELeA4dW+eoJNSY1VW6dSnq3aZXQ4AAAD8DGELOE4Wi0UX924uSXpv+XaTqwEAAIC/IWwBJ+DCXs1ktUjLtuZp054is8sBAACAHyFsAScgNT5Sg9o3lcTsFgAAADwRtoATdHHvLEnS+8t3qMppmFwNAAAA/AVhCzhBQzqlKiEqXLsKSrV4416zywEAAICfIGwBJygy3Kbze2RKkt5dxlJCAAAAVCNsAQ3A1ZXw89U5cpRyzy0AAAAQtoAGwT23AAAAcDjCFtAALBaLLulTPbv1ztJtJlcDAAAAf0DYAhrIBb2ayWa1aHl2vv7ILTS7HAAAAJiMsAU0kNS4SA3tlCpJevMnZrcAAABCHWELaEBjTm0hqfoGx6UVVSZXAwAAADMRtoAGdMZJTdUsMUoFJRX6fHWO2eUAAADARIQtoAHZrBZddkqWJOn1n7JNrgYAAABmImwBDeySPs1ltUg/bd6vjXuKzC4HAAAAJiFsAQ0sIyFKZ3V0NcpgdgsAACBUEbYAHxhb0yjj3WXbVVZJowwAAIBQRNgCfGBQ+6ZKj49U3oEKfbEm1+xyAAAAYALCFuADYTarLq1plPHGjywlBAAACEWELcBHLjslS1aLtGTTPm3YXWh2OQAAAGhkhC3AR5olRumsjmmSpFeXbDW5GgAAADQ2whbgQxP7t5RU3SijsLTC5GoAAADQmAhbgA8NaJuiNk1jVFxepQ9+2WF2OQAAAGhEhC3Ah6xWiyacVj279Z8lW2UYhskVAQAAoLEQtgAfG927uWIibNqwu0hLNu4zuxwAAAA0EsIW4GNxkeG66OTmkqRXlmwxtxgAAAA0GsIW0Agm9KteSjhvba525JeYXA0AAAAaA2ELaAQnpcWpf9tkOQ1p7g+0gQcAAAgFhC2gkUzo10qS9ObP21RaUWVuMQAAAPA5whbQSIZ2SlWzxCjtLy7Xh7SBBwAACHqELaCRhNmsuqJ/K0nS//tus5xO2sADAAAEM8IW0IguOzVLsfYwbdhdpG/W7zG7HAAAAPgQYQtoRPGR4brslCxJ0r+/3WxyNQAAAPAlwhbQyK4c0EpWi/Tdhr1au9NhdjkAAADwEcIW0MiaJ0VrZLcMSdK/v2N2CwAAIFgRtgATXDOwjSTpo5U7lOsoNbkaAAAA+AJhCzBBz6xE9WmZpIoqQ/9ZssXscgAAAOADhC3AJFfXzG699kO2DpRXmlwNAAAAGhphCzDJ2Z3T1DI5WgUlFXrjp21mlwMAAIAGRtgCTGKzWjT5jLaSpH8t2qTySqfJFQEAAKAhEbYAE43u3UypcXblOEr1wS/bzS4HAAAADYiwBZjIHmZzdyZ88ZtNqnIaJlcEAACAhkLYAkw2rm8LJUSFa/PeYv1v9S6zywEAAEADIWwBJouxh+nKAa0kSTMXbpRhMLsFAAAQDAhbgB+4on8rRUfY9Nsuh75et8fscgAAANAACFuAH0iMjtD4vi0kSc9/vcHkagAAANAQCFuAn7h6YBtF2Kz6eUuefti0z+xyAAAAcIIIW4CfSIuP1CV9mkuSnp7/h8nVAAAA4EQRtgA/MuXMdoqwWfXDpv1avHGv2eUAAADgBBC2AD+SmRily07JkiQ9PW89nQkBAAACGGEL8DPXn9lWEWFW/bRlvxZvZO8WAABAoCJsAX4mIyFK406t7kz41Lw/mN0CAAAIUIQtwA/9ZXBb2cOsWro1T99tYO8WAABAICJsAX4oLT5S42ruu/Uks1sAAAABibAF+Km/DKqe3folO19fr9tjdjkAAADwkl+HrRkzZuiUU05RXFycUlNTdcEFF2jdunUeYwYPHiyLxeLxuO666zzGZGdna9SoUYqOjlZqaqruuOMOVVZWNuZHAbyWGh+pCf1aSpIe+2KdnE5mtwAAAAKJX4etb775RlOmTNEPP/ygefPmqaKiQsOGDVNxcbHHuGuuuUa7du1yPx577DH3uaqqKo0aNUrl5eVavHixXnnlFc2ZM0f3339/Y38cwGvXD26nOHuYftvl0Ecrd5pdDgAAALxgMQJoM8iePXuUmpqqb775RmeccYak6pmtnj176umnn67zNf/73/907rnnaufOnUpLS5Mkvfjii7rrrru0Z88eRUREHPN9HQ6HEhISVFBQoPj4+Ab7PEB9zFy4QY9/sU7Nk6K04LZBsofZzC4JAAAgZHmTDfx6ZutwBQUFkqQmTZp4HJ87d65SUlLUtWtXTZs2TQcOHHCfW7Jkibp16+YOWpI0fPhwORwOrVmzps73KSsrk8Ph8HgAZrlqQGulxtm1Pa9Ec3/INrscAAAA1FPAhC2n06lbbrlFAwYMUNeuXd3Hx40bp9dee00LFy7UtGnT9Oqrr+ryyy93n8/JyfEIWpLcz3Nycup8rxkzZighIcH9yMrK8sEnAuonKsKmW4a2lyQ9t3CDCksrTK4IAAAA9RFmdgH1NWXKFK1evVrfffedx/Frr73W/XO3bt2UkZGhIUOGaOPGjWrbtu1xvde0adM0depU93OHw0Hggqku7dNc/+/bTdq0t1j/WrRJU4d1MLskAAAAHENAzGzdcMMN+uSTT7Rw4UI1b978qGP79u0rSdqwYYMkKT09Xbm5uR5jXM/T09PrvIbdbld8fLzHAzBTmM2qO4ZXB6x/fbtZuwtLTa4IAAAAx+LXYcswDN1www364IMP9NVXX6l169bHfM2KFSskSRkZGZKkfv366ddff9Xu3bvdY+bNm6f4+Hh17tzZJ3UDvjCia7p6ZCWqpKJKT837w+xyAAAAcAx+HbamTJmi1157Ta+//rri4uKUk5OjnJwclZSUSJI2btyohx9+WMuWLdOWLVv00UcfacKECTrjjDPUvXt3SdKwYcPUuXNn/fnPf9bKlSv1xRdf6N5779WUKVNkt9vN/HiAVywWi+4d1UmS9ObP27RmZ4HJFQEAAOBo/Lr1u8ViqfP47NmzdcUVV2jbtm26/PLLtXr1ahUXFysrK0sXXnih7r33Xo+lf1u3btVf/vIXff3114qJidHEiRP1yCOPKCysflvWaP0OfzLl9eX6dNUundamid645rQj/ncCAACAhudNNvDrsOUvCFvwJ9vzDuisf3yj8kqnXry8t0Z0rXvvIQAAABpe0N5nC4DUPCla1w5sI0n6+2e/qayyyuSKAAAAUBfCFhCA/jK4rVLj7Mref0Czv99idjkAAACoA2ELCEAx9jDdOaKjJOm5rzZoT2GZyRUBAADgcIQtIEBd1KuZujdPUFFZpR79/HezywEAAMBhCFtAgLJaLZp+fhdJ0rvLtuvHTftMrggAAACHImwBAezkFkkae2oLSdK9H65WeaXT5IoAAADgQtgCAtxdIzooOSZC63cX6d/fbTa7HAAAANQgbAEBLjE6Qv93TidJ0jML/tC2/QdMrggAAAASYQsIChed3Ex9WzdRaYVT0z9aI+5VDgAAYD7CFhAELBaL/nZhV4XbLFrw+259sSbX7JIAAABCHmELCBLtUuN07RltJEn3/3e1Cg5UmFwRAABAaCNsAUHkxrNOUpumMdpdWKYHP15jdjkAAAAhjbAFBJHIcJueuKSHrBbp/V92aP5alhMCAACYhbAFBJmTWyTpmoHVywn/74NfWU4IAABgEsIWEIRuPbs9ywkBAABMRtgCghDLCQEAAMxH2AKC1KHLCe9+f5X2FJaZXBEAAEBoIWwBQezWs9urY3qc9haV6/Z3Vsrp5GbHAAAAjYWwBQSxyHCb/jm2l+xhVn3zxx7NXrzF7JIAAABCBmELCHLt0+J077mdJUmP/u93rdlZYHJFAAAAoYGwBYSAy/u20Nmd01Re5dRNb/yiA+WVZpcEAAAQ9AhbQAiwWCx6dHR3pcXbtXFPsR76eK3ZJQEAAAQ9whYQIprEROipy3rKYpHe/Hmb3l66zeySAAAAghphCwgh/dumaOrQ9pKkez9crdU72L8FAADgK4QtIMRMObOdhnRMVXmlU9e9tkz5B8rNLgkAACAoEbaAEGO1WvTkpT3Vokm0tueV6OY3V3D/LQAAAB8gbAEhKCE6XC9cfrL7/ltPL1hvdkkAAABBh7AFhKgumQn6+4XdJEn/XLBen67aZXJFAAAAwYWwBYSw0b2b68oBrSRJU99eoZXb8k2tBwAAIJgQtoAQd++ozjqzQ1OVVTp19X+Wamd+idklAQAABAXCFhDibFaLnh13sjqmx2lPYZkmvbJUxWWVZpcFAAAQ8AhbABRrD9P/m9hHKbER+m2XQze/+Ysqq5xmlwUAABDQCFsAJEnNk6I1a0IfRYRZNf+33br3w9UyDFrCAwAAHC/CFgC3k1sk6Z9jespqkd78eZv+8eUfZpcEAAAQsAhbADyM6Jqhv9W0hH9u4QbN/n6zyRUBAAAEJsIWgFrGntpCtw9rL0l68OO1+u+KHSZXBAAAEHgIWwDqNOXMdrqifytJ0m1vr9QXa3LMLQgAACDAELYA1Mlisej+czvrwl7NVOk0dMPryzV/ba7ZZQEAAAQMwhaAI7JaLXr84u46r0emKqoMXT93uRb+vtvssgAAAAICYQvAUYXZrHrq0h4a1S1D5VVOTX51mb5eR+ACAAA4FsIWgGMKs1n19JieGtk1XeVVTl376jKWFAIAABwDYQtAvYTbrPrn2F4a3iVN5ZVOTX5tGV0KAQAAjoKwBaDewm1WzRx3si7q1UxVTkO3vLVCr/6w1eyyAAAA/BJhC4BXwmxWPXFJD03s11KGId334WrNXLhBhmGYXRoAAIBfIWwB8JrVatH087voxrPaSZIe/2Kdpn+0RlVOAhcAAIALYQvAcbFYLLptWAfdO6qTJOmVJVt17X+Wqris0uTKAAAA/ANhC8AJuXpgGz0//mTZw6xa8PtuXTZriXY7Ss0uCwAAwHSELQAn7JxuGXrj2tPUJCZCq3c4dOHzi7V2p8PssgAAAExF2ALQIE5ukaQPru+vNikx2pFfoote+F4frdxpdlkAAACmIWwBaDAtk2P0/vX9dUb7piqtcOqmN37R3z/7TZVVTrNLAwAAaHSELQANKjE6QrOvOEV/GdxWkjRr0SZdMftn7S8uN7kyAACAxkXYAtDgbFaL7hrRUTPHnayocJu+27BX5zzzrX7ctM/s0gAAABoNYQuAz4zqnqEPpvRXm6YxynGUauy/ftA/F6znflwAACAkELYA+FTH9Hh9fMPpGn1yczkN6cl5f+jP//5RubSHBwAAQY6wBcDnYuxh+selPfSPS3ooOsKmxRv3adhTi/TfFTtkGMxyAQCA4ETYAtBoRvduro9vPF3dmiWooKRCN7+5QtfPXa59RWVmlwYAANDgCFsAGlXbprF6//r+mnp2e4VZLfrf6hwNe2qRPl+dY3ZpAAAADYqwBaDRhdusumnISfpwygB1SIvTvuJyXffaMk2Zu5y9XAAAIGgQtgCYpmuzBH104wD9ZXBb2awWffrrLg35xzea/f1mOhYCAICAR9gCYCp7mE13jeioj24YoJ5ZiSoqq9SDH6/Vn2Z+p1Xb880uDwAA4LhZDFqBHZPD4VBCQoIKCgoUHx9vdjlA0HI6Db3+U7Ye/fx3FZZWymKRLu2dpduGtVdqfKTZ5QEAAHiVDQhb9UDYAhrXnsIy/e3TtfpwxU5JUnSETX8Z1FZXD2yjqAibydUBAIBQRthqYIQtwBzLtu7Xw5/8phXb8iVJGQmRun1YB13Yq5msVou5xQEAgJBE2GpghC3APIZh6ONVu/To/37XjvwSSVL7tFjdOrS9hndJJ3QBAIBGRdhqYIQtwHylFVV6+fvNeuHrjSosrZQkdc6I19Sz22tIp1RZLIQuAADge4StBkbYAvxHQUmF/v3tJr38/RYVlVWHrh7NE/SXwe00rHMaM10AAMCnCFsNjLAF+J+84nLN+naT5ny/RSUVVZKkNk1jNPmMNrqgVzPZw2ikAQAAGh5hq4ERtgD/tbeoTLO/36xXl2yVo2Z5YVq8XVcOaK0xp2QpMTrC5AoBAEAwIWw1MMIW4P+Kyir1xo/Z+vd3m5XjKJUk2cOs+lPPTE3o10pdmyWYXCEAAAgGhK0GRtgCAkd5pVMfrtih2d9v0W+7HO7jvVsmaUK/lhrZNUMRYVYTKwQAAIGMsNXACFtA4DEMQ8u25uk/S7bqs193qdJZ/T91TWIi9Keembq4d3N1yWS2CwAAeIew1cAIW0Bg211Yqjd/2qa5P25VrqPMfbxTRrwu7t1cf+qZqZRYu4kVAgCAQEHYamCELSA4VFY59e2GvXp32XbNW5Or8iqnJCnMatHpJ6VoVLcMDeucroTocJMrBQAA/oqw1cAIW0DwyT9Qro9X7dK7y7Zr5bZ89/Fwm0UDT2qqUd0ydHaXNMVHErwAAMBBhK0GRtgCgtuG3UX67Ndd+nTVLq3LLXQfD7dZdFqbZJ3VMVVDOqapRXK0iVUCAAB/QNhqYIQtIHSszy3Up7/u0me/7tIfuUUe59qlxmpIx1Sd1TFVvVsmKcxGV0MAAEINYauBEbaA0LRxT5EW/r5bC37brZ+27FeV8+D/XMbZw9S3TRP1b5uiAe1S1D4tVhaLxcRqAQBAYyBsNTDCFoCCkgot+mOPvvp9txau2638AxUe51Ni7erfNlkD2iXrlFZN1DolhvAFAEAQImw1MMIWgENVOQ2t2Vmg7zfs0+KNe/Xzlv0qrXB6jGkSE6GTWySpT6sk9W6ZpG7NEhQZbjOpYgAA0FAIWw2MsAXgaMoqq/RLdr4Wb9irJZv2aeX2ApVXeoavcJtFXZslqGdWoro1S1C3Zglq0zRWNiuzXwAABBLCVgMjbAHwRlllldbsdGjZljwt3bpfy7bmaW9Rea1xUeE2dc6MV7dmCeraLEFdm8WrTUqsIsJovAEAgL8ibDUwwhaAE2EYhrL3H9CyrXlatb1Aq3cUaM1Oh0oqqmqNDbNa1DolRu3T49Q+NU4d0mPVPi1OLZNjmAUDAMAPELYaGGELQEOrchratKdIq3cW6NftDq3eUaDfdjlUWFZZ5/iIMKvaNo1Vm5QYtUqJVqvkGLVpGqNWyTFqEhNBMw4AABoJYauBEbYANAbDMLSroFTrcgu1PrdQ63KK9EduodbvLqzVgONQcZFhap1SHbxaJUereVK0miVFqVlilDISI2UPozEHAAANhbDVwAhbAMxU5TS0Pe+A1ucWacu+Ym3eW1z9655i7SwoPeprLRapaazdHb6aJUWpeWKUMhOjlBYfqdR4u5Jj7CxRBACgnrzJBmGNVBMA4DjZrBa1TI5Ry+SYWudKK6q0dd8BdwDbuq9Y2/NKtCO/RDvySlRW6dTuwjLtLizTL9n5R7x+SmxEdfiKsyu15te0+EilxduVEmtXUnSEkmMjFBVuY8kiAAD1RNgCgAAWGW5Th/Q4dUiPq3XOMAztKy7XjkPC1478Em3PK9GughLtLizT3qIyVTkN5TrKlOsoO+b72cOsSo6JUFJMhJoc+oiOUJPY6l+TYiIUHxmuhOhwxUeGKdYeRkADAIQkwhYABCmLxaKU2OqZqR5ZiXWOqaxyal9xuXIdpdrtKFNuYfWvuwsPPt9XVK59xeUqr3SqrNKpnQWlx1y+eCirRYqLDFdCVLjio8Kqg1hUuOIjDz6PjwpXdIRNsfYwRdvDFBNhU4w9TDERYYq2Vx+3h1kJbQCAgBJSYWvmzJl6/PHHlZOTox49eujZZ5/VqaeeanZZAGCaMJu1Zrlg5FHHGYahA+VV2l9cXvtxoFz7i2p+LS5X3oFyOUoq5SipUHmVU05DKiipUEFJxQnVarNaFB1h8whgrueRETZFhtkUGW5VZHjNr2E298/28Jqfw1zna44f+powm+zhVoXbrOxhAwA0iJAJW2+99ZamTp2qF198UX379tXTTz+t4cOHa926dUpNTTW7PADwaxaLpXqmyR6mrCbR9X5daUWVHCUVcpRWqKCkUo7SiurnJRVylFYHsoKSChWWVqq4vFIHyqpUVFapA+WVKi6vUnFZpQ6UV9+PrMppqLC0UoWldbfHb0hWS3W7/XCbVRG2ml/DrAq3Wdw/u46Hh1kVYbO4x7se9kPGh9msCrNaZLNaPH+t87j1kPNHOG61KMx9zvMaVqtFNotFVotFFqvcP1utqv7VYpHVImYJAaARhEw3wr59++qUU07Rc889J0lyOp3KysrSjTfeqLvvvvuor6UbIQCYx+k0VFJRHbxcAcwVworLq38uKa9SaaVTpRVVKq2o/rWs8uDP7uM1x8pcxyoPnneGxP8bHmSxVIcvm8Vy8Ger589Wi2dAs1qP8PMhga76egdfb7FYZKl5P4uqr+96j+o6Dj1ffbz6lMV9zDXedQ25j1tqXnPwZx3yPtbD3lN1HdfB4HnwPWrqcdd22HG5aqw+5v4Nleexg2Mshw+pPaaO8Huk1x/+2iO9x+HXrV1XHWOO8LkOveyx6qprjOoc43nt48n/3r7GIu/fpDH+XeJ4/vHD21cc1+9vI/x+efsOp7VJVlJMhJevalh0IzxMeXm5li1bpmnTprmPWa1WDR06VEuWLKk1vqysTGVlBzeKOxyORqkTAFCb1XpwVs1XDMNQRZWh8iqnKiqdqqhyqrzKqfJKpyqqjMOe15yvrDl+6LEq47Dn1ecrqwxVOg1VOZ01v9Y8rznuNA45X3XIeWcdr6s6wvGaX6vqmRoNQ6oyDFUpxFImgID2/vX9TQ9b3giJsLV3715VVVUpLS3N43haWpp+//33WuNnzJihBx98sLHKAwCYzGKxKCKseimg7GZXc2IMw3AHKafr55pA5zSqZwrdPxu1j1ePrb5OlWHI6TxsnGHUjPX8+eD7GaqqeY3rZ0PVdRg19VXXKXd9ruOGJLmO14w5/LWGcXBsreMeYw95btQ+7qx5cvhYZ83POuzazkPGHPp7XVPyIcdqfpVx2PPaY3T4mEOvfYTXH379Q08eHHO0uo48Rkeq3Yu66vxch71n3Z/HO75cmOXNpQ0vK/fq2l5+RG9q8f7aXvLh72GsD//hzRcCq9pGMm3aNE2dOtX93OFwKCsry8SKAACoH9eSN+txLP8BADSskAhbKSkpstlsys3N9Tiem5ur9PT0WuPtdrvs9gD/p00AAAAAprKaXUBjiIiIUO/evbVgwQL3MafTqQULFqhfv34mVgYAAAAgWIXEzJYkTZ06VRMnTlSfPn106qmn6umnn1ZxcbGuvPJKs0sDAAAAEIRCJmxddtll2rNnj+6//37l5OSoZ8+e+vzzz2s1zQAAAACAhhAy99k6EdxnCwAAAIDkXTYIiT1bAAAAANDYCFsAAAAA4AOELQAAAADwAcIWAAAAAPgAYQsAAAAAfICwBQAAAAA+QNgCAAAAAB8gbAEAAACADxC2AAAAAMAHCFsAAAAA4AOELQAAAADwAcIWAAAAAPgAYQsAAAAAfICwBQAAAAA+QNgCAAAAAB8gbAEAAACADxC2AAAAAMAHCFsAAAAA4AOELQAAAADwAcIWAAAAAPgAYQsAAAAAfICwBQAAAAA+QNgCAAAAAB8gbAEAAACADxC2AAAAAMAHCFsAAAAA4AOELQAAAADwgTCzCwgEhmFIkhwOh8mVAAAAADCTKxO4MsLRELbqobCwUJKUlZVlciUAAAAA/EFhYaESEhKOOsZi1CeShTin06mdO3cqLi5OFovF7HICgsPhUFZWlrZt26b4+Hizy0EI47sIf8L3Ef6E7yP8SSB9Hw3DUGFhoTIzM2W1Hn1XFjNb9WC1WtW8eXOzywhI8fHxfv8fDEID30X4E76P8Cd8H+FPAuX7eKwZLRcaZAAAAACADxC2AAAAAMAHCFvwCbvdrgceeEB2u93sUhDi+C7Cn/B9hD/h+wh/EqzfRxpkAAAAAIAPMLMFAAAAAD5A2AIAAAAAHyBsAQAAAIAPELYAAAAAwAcIW2hwM2fOVKtWrRQZGam+ffvqp59+MrskBJgZM2bolFNOUVxcnFJTU3XBBRdo3bp1HmNKS0s1ZcoUJScnKzY2VqNHj1Zubq7HmOzsbI0aNUrR0dFKTU3VHXfcocrKSo8xX3/9tU4++WTZ7Xa1a9dOc+bMqVUP32m4PPLII7JYLLrlllvcx/guojHt2LFDl19+uZKTkxUVFaVu3bpp6dKl7vOGYej+++9XRkaGoqKiNHToUK1fv97jGvv379f48eMVHx+vxMRETZo0SUVFRR5jVq1apYEDByoyMlJZWVl67LHHatXyzjvvqGPHjoqMjFS3bt302Wef+eZDwy9VVVXpvvvuU+vWrRUVFaW2bdvq4Ycf1qG99/g+SjKABvTmm28aERERxssvv2ysWbPGuOaaa4zExEQjNzfX7NIQQIYPH27Mnj3bWL16tbFixQrjnHPOMVq0aGEUFRW5x1x33XVGVlaWsWDBAmPp0qXGaaedZvTv3999vrKy0ujatasxdOhQ45dffjE+++wzIyUlxZg2bZp7zKZNm4zo6Ghj6tSpxtq1a41nn33WsNn+f3v3HhRl2YYB/FpYFlgZDgruqol4QFEEWyUdEDUTQ4csq0lFMsQptWTEylOpHaZIx2rGaAq1P3KaENOZRKKyQRBzCVfEWRBRkIOHGpBMEE1MYO/vj+/jzTfQT5MFxes3szPs8977PM8y1yj37MuDo+zdu1epYaap1eHDh8XPz0+Cg4MlISFBGWcWqbNcvHhRBgwYIPPnzxeLxSKVlZXy008/SXl5uVKzYcMG8fDwkLS0NCksLJQnn3xSBg4cKI2NjUrNtGnTZNSoUXLo0CE5ePCgDBkyRKKjo5Xrly5dEoPBIDExMVJcXCypqani6uoqW7ZsUWpyc3PF0dFRNm7cKCUlJbJ27VpxcnKSY8eOdc43g7pcYmKi9OrVSzIyMqSqqkp27dolbm5u8sknnyg1zKMImy3qUGPHjpUlS5Yoz1taWqRv376yfv36LtwV3e9qa2sFgBw4cEBEROrr68XJyUl27dql1Jw4cUIASF5enoiI/PDDD+Lg4CA1NTVKTXJysri7u8tff/0lIiIrV66UwMBA1VqzZ8+WyMhI5TkzTSIily9fFn9/f8nMzJRJkyYpzRazSJ1p1apVEh4eftPrNptNjEajfPjhh8pYfX29ODs7S2pqqoiIlJSUCADJz89Xan788UfRaDTy22+/iYjI559/Ll5eXko+W9ceNmyY8nzWrFkSFRWlWn/cuHGyaNGiu3uTdN+IioqSBQsWqMaeeeYZiYmJERHmsRVvI6QOc/36dRQUFCAiIkIZc3BwQEREBPLy8rpwZ3S/u3TpEgCgZ8+eAICCggI0NTWpshYQEABfX18la3l5eQgKCoLBYFBqIiMj0dDQgOPHjys1N87RWtM6BzNNrZYsWYKoqKg2eWEWqTOlp6cjJCQEzz33HHr37g2TyYQvvvhCuV5VVYWamhpVTjw8PDBu3DhVHj09PRESEqLUREREwMHBARaLRamZOHEidDqdUhMZGYnS0lLU1dUpNbfKLHV/YWFhyMrKQllZGQCgsLAQZrMZ06dPB8A8ttJ29Qao+7hw4QJaWlpUP1AAgMFgwMmTJ7toV3S/s9lsWLZsGcaPH4+RI0cCAGpqaqDT6eDp6amqNRgMqKmpUWray2LrtVvVNDQ0oLGxEXV1dcw0YceOHTh69Cjy8/PbXGMWqTNVVlYiOTkZr732Gt58803k5+dj6dKl0Ol0iI2NVfLUXk5uzFrv3r1V17VaLXr27KmqGThwYJs5Wq95eXndNLOtc1D3t3r1ajQ0NCAgIACOjo5oaWlBYmIiYmJiAIB5/B82W0R0T1uyZAmKi4thNpu7eiv0ADp37hwSEhKQmZkJFxeXrt4OPeBsNhtCQkLwwQcfAABMJhOKi4uxefNmxMbGdvHu6EGzc+dOpKSkYPv27QgMDITVasWyZcvQt29f5vEGvI2QOoy3tzccHR3bnMJ1/vx5GI3GLtoV3c/i4+ORkZGB/fv346GHHlLGjUYjrl+/jvr6elX9jVkzGo3tZrH12q1q3N3d4erqykwTCgoKUFtbi9GjR0Or1UKr1eLAgQNISkqCVquFwWBgFqnT9OnTByNGjFCNDR8+HGfPngXwd55ulROj0Yja2lrV9ebmZly8eLFDMss8PjhWrFiB1atXY86cOQgKCsK8efPw6quvYv369QCYx1ZstqjD6HQ6jBkzBllZWcqYzWZDVlYWQkNDu3BndL8REcTHx2P37t3Izs5uc/vAmDFj4OTkpMpaaWkpzp49q2QtNDQUx44dU/0jnpmZCXd3d+WHldDQUNUcrTWtczDTNGXKFBw7dgxWq1V5hISEICYmRvmaWaTOMn78+DZ/BqOsrAwDBgwAAAwcOBBGo1GVk4aGBlgsFlUe6+vrUVBQoNRkZ2fDZrNh3LhxSs3PP/+MpqYmpSYzMxPDhg2Dl5eXUnOrzFL3d/XqVTg4qFsJR0dH2Gw2AMyjoqtP6KDuZceOHeLs7Czbtm2TkpISWbhwoXh6eqpO4SL6f15++WXx8PCQnJwcqa6uVh5Xr15VahYvXiy+vr6SnZ0tR44ckdDQUAkNDVWutx63/fjjj4vVapW9e/eKj49Pu8dtr1ixQk6cOCGfffZZu8dtM9N0oxtPIxRhFqnzHD58WLRarSQmJsqpU6ckJSVF9Hq9fP3110rNhg0bxNPTU/bs2SNFRUXy1FNPtXvUtslkEovFImazWfz9/VVHbdfX14vBYJB58+ZJcXGx7NixQ/R6fZujtrVarXz00Udy4sQJefvtt++Zo7apc8TGxkq/fv2Uo9+//fZb8fb2lpUrVyo1zCOPfic7+PTTT8XX11d0Op2MHTtWDh061NVbovsMgHYfX375pVLT2Ngor7zyinh5eYler5enn35aqqurVfOcPn1apk+fLq6uruLt7S2vv/66NDU1qWr2798vDz/8sOh0Ohk0aJBqjVbMNN3on80Ws0id6bvvvpORI0eKs7OzBAQEyNatW1XXbTabrFu3TgwGgzg7O8uUKVOktLRUVfPHH39IdHS0uLm5ibu7u8TFxcnly5dVNYWFhRIeHi7Ozs7Sr18/2bBhQ5u97Ny5U4YOHSo6nU4CAwPl+++/7/g3TPeshoYGSUhIEF9fX3FxcZFBgwbJmjVrVEe0M48iGpEb/swzERERERERdQj+zhYREREREZEdsNkiIiIiIiKyAzZbREREREREdsBmi4iIiIiIyA7YbBEREREREdkBmy0iIiIiIiI7YLNFRERERERkB2y2iIiIiIiI7IDNFhERPTD8/PywadOm264/ffo0NBoNrFZrh+1h4sSJ2L59+13NsXnzZsyYMaODdkRERPbCZouIiO5p8+fPx8yZM9uM5+TkQKPRoL6+/rbnys/Px8KFCztucwC2bdsGT0/P26pNT0/H+fPnMWfOnLtac8GCBTh69CgOHjx4V/MQEZF9sdkiIqIHho+PD/R6fZetn5SUhLi4ODg43N1/vzqdDnPnzkVSUlIH7YyIiOyBzRYREXUbZrMZEyZMgKurK/r374+lS5fizz//VK7/8zbCkydPIjw8HC4uLhgxYgT27dsHjUaDtLQ01byVlZWYPHky9Ho9Ro0ahby8PAD//XQtLi4Oly5dgkajgUajwTvvvNPu3n7//XdkZ2e3uf1Po9Fgy5YteOKJJ6DX6zF8+HDk5eWhvLwcjz76KHr06IGwsDBUVFSoXjdjxgykp6ejsbHx33/DiIjIrthsERFRt1BRUYFp06bh2WefRVFREb755huYzWbEx8e3W9/S0oKZM2dCr9fDYrFg69atWLNmTbu1a9aswfLly2G1WjF06FBER0ejubkZYWFh2LRpE9zd3VFdXY3q6mosX7683TnMZrPSTP3Te++9hxdeeAFWqxUBAQGYO3cuFi1ahDfeeANHjhyBiLR5HyEhIWhubobFYrnD7xQREXUWbVdvgIiI6P/JyMiAm5ubaqylpUX1fP369YiJicGyZcsAAP7+/khKSsKkSZOQnJwMFxcXVX1mZiYqKiqQk5MDo9EIAEhMTMTUqVPbrL98+XJERUUBAN59910EBgaivLwcAQEB8PDwgEajUea4mTNnzsBgMLR7C2FcXBxmzZoFAFi1ahVCQ0Oxbt06REZGAgASEhIQFxeneo1er4eHhwfOnDlzy3WJiKjrsNkiIqJ73uTJk5GcnKwas1gseP7555XnhYWFKCoqQkpKijImIrDZbKiqqmrziVJpaSn69++vapLGjh3b7vrBwcHK13369AEA1NbWIiAg4LbfQ2NjY5uGr735DQYDACAoKEg1du3aNTQ0NMDd3V0Zd3V1xdWrV297D0RE1LnYbBER0T2vR48eGDJkiGrs119/VT2/cuUKFi1ahKVLl7Z5va+v712t7+TkpHyt0WgAADab7Y7m8Pb2Rl1d3W3PfztrXrx4ET4+Pne0DyIi6jxstoiIqFsYPXo0SkpK2jRlNzNs2DCcO3cO58+fVz5Nys/Pv+N1dTpdm1sa22MymVBTU4O6ujp4eXnd8Tr/VFFRgWvXrsFkMt31XEREZB88IIOIiLqFVatW4ZdffkF8fDysVitOnTqFPXv23PSAjKlTp2Lw4MGIjY1FUVERcnNzsXbtWgB/f5J0O/z8/HDlyhVkZWXhwoULN72tz2QywdvbG7m5uXf+5tpx8OBBDBo0CIMHD+6Q+YiIqOOx2SIiom4hODgYBw4cQFlZGSZMmACTyYS33noLffv2bbfe0dERaWlpuHLlCh555BG8+OKLymmEN/vdqvaEhYVh8eLFmD17Nnx8fLBx48abrhcXF6f6nbK7kZqaipdeeqlD5iIiIvvQiIh09SaIiIjuBbm5uQgPD0d5ebldPjGqqalBYGAgjh49igEDBvzreY4fP47HHnsMZWVl8PDw6MAdEhFRR2KzRURED6zdu3fDzc0N/v7+KC8vR0JCAry8vGA2m+22ZlpaGnr16oUJEyb86zn27duHlpYW5Wh4IiK6N7HZIiKiB9ZXX32F999/H2fPnoW3tzciIiLw8ccfo1evXl29NSIi6gbYbBEREREREdkBD8ggIiIiIiKyAzZbREREREREdsBmi4iIiIiIyA7YbBEREREREdkBmy0iIiIiIiI7YLNFRERERERkB2y2iIiIiIiI7IDNFhERERERkR38B473UKoP+OevAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "plt.title(\"Change in Pressure as Altitude Increases\")\n", + "plt.xlabel(\"Height (m)\")\n", + "plt.ylabel(\"Pressure (hPa mB)\")\n", + "plt.plot(height_range, pressure)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot Change in Temperature as Altitude Increases" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "plt.title(\"Change in Temperature as Altitude Increases\")\n", + "plt.xlabel(\"Height (m)\")\n", + "plt.ylabel(\"Temperature (C)\")\n", + "plt.plot(height_range, temperature)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot Change in Speed of Sound as Altitude Increases" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", "\n", - "print(f\"Layer Name : {atmos_100.layer_name[0]}\")\n", - "print(f\"Speed of sound : {atmos_100.speed_of_sound[0]} m/s\")\n", - "print(f\"Temperature : {atmos_100.temperature_in_celsius[0]} C\")\n", - "print(f\"Density : {atmos_100.density[0]} kg/m^3\")\n", - "print(f\"Pressure : {atmos_100.pressure[0]/100} hPa (mB)\")" + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "plt.title(\"Change in Speed of Sound as Altitude Increases\")\n", + "plt.xlabel(\"Height (m)\")\n", + "plt.ylabel(\"Speed of Sound (m/s)\")\n", + "plt.plot(height_range, speed_of_sound)\n", + "plt.show()" ] }, { @@ -83,7 +388,9 @@ "\n", "To learn more about working with atmosphere properties in Python, we suggest:\n", "- Python [`ambiance`](https://ambiance.readthedocs.io/en/latest/) documentation\n", - "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation" + "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation\n", + "- [International Standard Atmosphere (Wikipedia)](https://en.wikipedia.org/wiki/International_Standard_Atmosphere)\n", + "- [Layers of Earth's Atmosphere (NSF UCAR/NCAR)](https://scied.ucar.edu/learning-zone/atmosphere/layers-earths-atmosphere)" ] } ], From 6ee8b93db3ffd8295fd1dcd89d5f2e08eb3a20ae Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Thu, 18 Jul 2024 15:58:45 -0600 Subject: [PATCH 06/15] setup sidebar, grid --- applications/applications.rst | 5 +++-- applications/data_analysis/data_analysis.rst | 5 +++-- .../data_analysis/stdatmus_z2tdp.ipynb | 18 +++++++++--------- 3 files changed, 15 insertions(+), 13 deletions(-) diff --git a/applications/applications.rst b/applications/applications.rst index bd178d40..61fa564e 100644 --- a/applications/applications.rst +++ b/applications/applications.rst @@ -14,13 +14,14 @@ .. card:: Plot Types - .. grid-item:: .. grid:: 1 :gutter: 1 - .. card:: Data Analysis + .. card:: `Data Analysis `_ + + - `Atmosphere Properties above Sea-Level `_ .. grid-item:: diff --git a/applications/data_analysis/data_analysis.rst b/applications/data_analysis/data_analysis.rst index de07cabc..afdab3a7 100644 --- a/applications/data_analysis/data_analysis.rst +++ b/applications/data_analysis/data_analysis.rst @@ -6,5 +6,6 @@ Data Analysis ============= .. toctree:: - :maxdepth: 1 - :hidden: + :maxdepth: 1 + + stdatmus_z2tdp.ipynb diff --git a/applications/data_analysis/stdatmus_z2tdp.ipynb b/applications/data_analysis/stdatmus_z2tdp.ipynb index 1985bbd9..12e3672b 100644 --- a/applications/data_analysis/stdatmus_z2tdp.ipynb +++ b/applications/data_analysis/stdatmus_z2tdp.ipynb @@ -67,7 +67,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 81, "metadata": {}, "outputs": [ { @@ -106,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 82, "metadata": {}, "outputs": [ { @@ -145,7 +145,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 83, "metadata": {}, "outputs": [ { @@ -184,7 +184,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 84, "metadata": {}, "outputs": [ { @@ -221,7 +221,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 85, "metadata": {}, "outputs": [], "source": [ @@ -251,7 +251,7 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 86, "metadata": {}, "outputs": [ { @@ -285,7 +285,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 87, "metadata": {}, "outputs": [ { @@ -319,7 +319,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 88, "metadata": {}, "outputs": [ { @@ -353,7 +353,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 89, "metadata": {}, "outputs": [ { From 119e36ffbb5b437126c0842091bbddabd6e43ada Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Fri, 19 Jul 2024 15:38:22 -0600 Subject: [PATCH 07/15] expand range of outputs --- .../data_analysis/stdatmus_z2tdp.ipynb | 62 +++++----- ncl/ncl_entries/stdatmus_z2tdp.ipynb | 51 ++++---- ncl/ncl_raw/stdatmus_z2tdp.ncl | 61 ++++++++++ ncl/receipts/stdatmus_z2tdp.ipynb | 111 ++++++++++++++---- 4 files changed, 209 insertions(+), 76 deletions(-) diff --git a/applications/data_analysis/stdatmus_z2tdp.ipynb b/applications/data_analysis/stdatmus_z2tdp.ipynb index 12e3672b..075dd043 100644 --- a/applications/data_analysis/stdatmus_z2tdp.ipynb +++ b/applications/data_analysis/stdatmus_z2tdp.ipynb @@ -13,7 +13,7 @@ "source": [ "## Overview\n", "\n", - "The properties of the atmosphere change with the height above sea-level and this notebook will cover:\n", + "The properties of the atmosphere change with the height and this notebook will cover:\n", "- International Standard Atmosphere\n", "- `ambiance` Python package" ] @@ -33,15 +33,15 @@ "source": [ "## [`ambiance`](https://ambiance.readthedocs.io/en/latest/) Python Package\n", "\n", - "There are different models to represent the changing atmosphere. The older 1976 NASA _U.S Standard Atmosphere_ and the more recent 1993 International Civil Aviation Organization (ICAO) _Manual of the ICAO Standard Atmosphere_ which extends the efficacy of the 1976 model to 80 km. The `ambiance` package makes use of the 1993 model, but will [match the 1976 model in many parts](https://ambiance.readthedocs.io/en/latest/theory/references.html). `ambiance` supports altitudes from -5004 m to 81020 m measured at sea-level.\n", + "There are different models to represent how the atmosphere changes with height. The older 1976 NASA _U.S Standard Atmosphere_ and the more recent 1993 International Civil Aviation Organization (ICAO) _Manual of the ICAO Standard Atmosphere_ which extends the efficacy of the 1976 model to 80 km. The `ambiance` package makes use of the 1993 model, but will [match the 1976 model in most parts](https://ambiance.readthedocs.io/en/latest/theory/references.html). `ambiance` supports altitudes from -5004 m to 81020 m measured at sea-level.\n", "\n", - "`ambiance` atmosphere properties:\n", + "The `ambiance` package will return the atmosphere properties:\n", "- Density (`density`)\n", "- Pressure (`pressure`)\n", "- Temperature (`temperature_in_celsius`)\n", "- Collision frequency (`collision_frequency`)\n", "- Dynamic viscosity (`dynamic_viscosity`)\n", - "- Geometric height above [MSL](https://en.wikipedia.org/wiki/Sea_level) (`h`)\n", + "- Geometric height above [mean sea-level](https://en.wikipedia.org/wiki/Sea_level) (`h`)\n", "- Geopotential height (`H`)\n", "- Gravitational acceleration (`grav_accel`)\n", "- Kinematic viscosity (`kinematic_viscosity`)\n", @@ -62,12 +62,12 @@ "source": [ "### Troposphere: 0 - 11,000 meters\n", "\n", - "The troposphere represents the lowest layer of the Earth's atmospehre, which starts at ground levels and where humans live and most weather occurs." + "The troposphere represents the lowest layer of the Earth's atmospehre. This layer starts at ground level and represents where humans live and most weather occurs." ] }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -75,17 +75,17 @@ "output_type": "stream", "text": [ "Layer Name : troposphere\n", - "Density : 1.213282967332296 kg/m^3\n", - "Pressure : 1001.2945645595289 hPa (mB)\n", - "Temperature : 14.350010225164397 C\n", - "Speed of sound : 339.90996496753064 m/s\n" + "Density : 1.0419118563343137 kg/m^3\n", + "Pressure : 829.6443728102801 hPa (mB)\n", + "Temperature : 4.245300013163671 C\n", + "Speed of sound : 333.8831588903602 m/s\n" ] } ], "source": [ "from ambiance import Atmosphere\n", "\n", - "height = 100 # meters\n", + "height = 1655 # meters above sea-level (city of Boulder)\n", "atmos = Atmosphere(height)\n", "\n", "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", @@ -101,12 +101,12 @@ "source": [ "### Stratosphere: 20,000 - 47,000 m\n", "\n", - "The stratosphere is where the ozone layer is found and a region where the temperature increases instead of decreases." + "The stratosphere is where the ozone layer is found and a region where the temperature increases instead of decreasing." ] }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -114,17 +114,17 @@ "output_type": "stream", "text": [ "Layer Name : stratosphere\n", - "Density : 0.0757146500085348 kg/m^3\n", - "Pressure : 47.2892567929209 hPa (mB)\n", - "Temperature : -55.56914646915547 C\n", - "Speed of sound : 295.70270855761527 m/s\n" + "Density : 0.07506116031700617 kg/m^3\n", + "Pressure : 46.89266390221175 hPa (mB)\n", + "Temperature : -55.51550194831461 C\n", + "Speed of sound : 295.7391590362088 m/s\n" ] } ], "source": [ "from ambiance import Atmosphere\n", "\n", - "height = 21000 # meters\n", + "height = 21054 # meters above sea-level\n", "atmos = Atmosphere(height)\n", "\n", "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", @@ -140,12 +140,12 @@ "source": [ "### Stratopause: 47,000 - 51,000 m\n", "\n", - "The stratopause is a boundary level between the stratosphere and the mesophere, where the peak of the stratosphere occurs." + "The stratopause is a boundary level between the stratosphere and the mesophere, where the peak temperature of the stratosphere occurs." ] }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -163,7 +163,7 @@ "source": [ "from ambiance import Atmosphere\n", "\n", - "height = 51000 # meters\n", + "height = 51000 # meters above sea-level\n", "atmos = Atmosphere(height)\n", "\n", "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", @@ -179,12 +179,12 @@ "source": [ "### Mesosphere: 51,000 - 84,852 m\n", "\n", - "The mesosphere is an upper layer of the atmosphere where most meteors burn up in and where the coldest temperature in the Earth's atmosphere is found." + "The mesosphere is an upper layer of the atmosphere where meteors typically burn up and where the coldest temperature in the Earth's atmosphere is found." ] }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -216,12 +216,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Collect Changes in Atmosphere Properties with Altitude" + "### Collect Changes in Atmosphere Properties with Altitude\n", + "\n", + "Properties like density, pressure, temperature, and the speed of sound all change with the height above sea-level in the atmosphere." ] }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -251,7 +253,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -285,7 +287,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -319,7 +321,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -353,7 +355,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -387,7 +389,7 @@ "## Curated Resources\n", "\n", "To learn more about working with atmosphere properties in Python, we suggest:\n", - "- Python [`ambiance`](https://ambiance.readthedocs.io/en/latest/) documentation\n", + "- Python [`ambiance` documentation](https://ambiance.readthedocs.io/en/latest/)\n", "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation\n", "- [International Standard Atmosphere (Wikipedia)](https://en.wikipedia.org/wiki/International_Standard_Atmosphere)\n", "- [Layers of Earth's Atmosphere (NSF UCAR/NCAR)](https://scied.ucar.edu/learning-zone/atmosphere/layers-earths-atmosphere)" diff --git a/ncl/ncl_entries/stdatmus_z2tdp.ipynb b/ncl/ncl_entries/stdatmus_z2tdp.ipynb index bde4fc65..22b72c0b 100644 --- a/ncl/ncl_entries/stdatmus_z2tdp.ipynb +++ b/ncl/ncl_entries/stdatmus_z2tdp.ipynb @@ -22,27 +22,10 @@ "source": [ "## [Ambiance](https://github.com/airinnova/ambiance/) Python Package\n", "\n", - "Ambiance atmosphere properties that match NCL `stdatmus_z2tdp`\n", + "`ambiance` atmosphere properties that match the NCL `stdatmus_z2tdp` function\n", "- Density (`density`)\n", "- Pressure (`pressure`)\n", - "- Temperature (`temperature_in_celsius`)\n", - "\n", - "Additional Atmosphere Properties:\n", - "- Collision frequency (`collision_frequency`)\n", - "- Dynamic viscosity (`dynamic_viscosity`)\n", - "- Geometric height above [MSL](https://en.wikipedia.org/wiki/Sea_level) (`h`)\n", - "- Geopotential height (`H`)\n", - "- Gravitational acceleration (`grav_accel`)\n", - "- Kinematic viscosity (`kinematic_viscosity`)\n", - "- Layer names (`layer_name`)\n", - "- Mean free path (`mean_free_path`)\n", - "- Mean particle speed (`mean_particle_speed`)\n", - "- Number density (`number_density`)\n", - "- Pressure scale height (`pressure_scale_height`)\n", - "- Specific weight (`specific_weight`)\n", - "- Speed of sound (`speed_of_sound`)\n", - "- Temperature (`temperature`)\n", - "- Thermal conductivity (`thermal_conductivity`)" + "- Temperature (`temperature_in_celsius`)" ] }, { @@ -61,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -90,12 +73,32 @@ "metadata": {}, "source": [ "## Python changes to approximate NCL functionality\n", - "The `ambiance` package includes additional atmospheric properties as well as the NCL properties (`temperature_in_celsius`, `density`,`pressure`)\n", - "\n", - "To match NCL functionality, the default `pressure` property needs to be converted from the ambiance's default `Pascal` to NCL's `Millibar` (dividing by 100).\n", + "The `ambiance` package includes additional atmospheric properties as well as the NCL properties (`temperature_in_celsius`, `density`,`pressure`), including:\n", + "- Collision frequency (`collision_frequency`)\n", + "- Dynamic viscosity (`dynamic_viscosity`)\n", + "- Geometric height above [mean sea-level](https://en.wikipedia.org/wiki/Sea_level) (`h`)\n", + "- Geopotential height (`H`)\n", + "- Gravitational acceleration (`grav_accel`)\n", + "- Kinematic viscosity (`kinematic_viscosity`)\n", + "- Layer names (`layer_name`)\n", + "- Mean free path (`mean_free_path`)\n", + "- Mean particle speed (`mean_particle_speed`)\n", + "- Number density (`number_density`)\n", + "- Pressure scale height (`pressure_scale_height`)\n", + "- Specific weight (`specific_weight`)\n", + "- Speed of sound (`speed_of_sound`)\n", + "- Temperature (`temperature`)\n", + "- Thermal conductivity (`thermal_conductivity`)\n", "\n", "### Differences from NCL\n", - "`stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere while `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html) which extends the model to 80 km and should still match in these part. The Python `ambiance` package returns an array for each atmosphere property with more degrees of precision than NCL." + "\n", + "To match NCL functionality, the default `pressure` property needs to be converted from the `ambiance` default `Pascal` unit to NCL's `Millibar` (dividing by 100).\n", + "\n", + "```\n", + "stdatmus_z2tdp Millibar unit = ambiance Pascal unit / 100\n", + "```\n", + "\n", + "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html) which extends the model to 80 km. but will match the 1976 model in these parts. The Python `ambiance` package returns an array for each atmosphere property with more degrees of precision than NCL." ] }, { diff --git a/ncl/ncl_raw/stdatmus_z2tdp.ncl b/ncl/ncl_raw/stdatmus_z2tdp.ncl index 620b5976..cb119fd8 100644 --- a/ncl/ncl_raw/stdatmus_z2tdp.ncl +++ b/ncl/ncl_raw/stdatmus_z2tdp.ncl @@ -1,5 +1,21 @@ ; stdatmus_z2tdp ; Adapted from https://www.ncl.ucar.edu/Document/Functions/Built-in/stdatmus_z2tdp.shtml + +height = 0 ; meters +tdp = stdatmus_z2tdp(height) ; tdp(3) = (/ 15, 1.224999, 1013.25 /) +print(tdp) + +; Variable: tdp +; Type: float +; Total Size: 12 bytes +; 3 values +; Number of Dimensions: 1 +; Dimensions and sizes: [3] +; Coordinates: +; (0) 15 +; (1) 1.224999 +; (2) 1013.25 + height = 100 ; meters tdp = stdatmus_z2tdp(height) ; tdp(3) = (/ 14.35, 1.213282, 1001.294 /) print(tdp) @@ -14,3 +30,48 @@ print(tdp) ; (0) 14.35 ; (1) 1.213282 ; (2) 1001.294 + +height = 1000 ; meters +tdp = stdatmus_z2tdp(height) ; tdp(3) = (/ -17.5, 0.7361153, 540.1991 /) +print(tdp) + +; Variable: tdp +; Type: float +; Total Size: 12 bytes +; 3 values +; Number of Dimensions: 1 +; Dimensions and sizes: [3] +; Coordinates: +; (0) -17.5 +; (1) 0.7361153 +; (2) 540.1991 + +height = 1000 ; meters +tdp = stdatmus_z2tdp(height) ; tdp(3) = (/ -17.5, 0.7361153, 540.1991 /) +print(tdp) + +; Variable: tdp +; Type: float +; Total Size: 12 bytes +; 3 values +; Number of Dimensions: 1 +; Dimensions and sizes: [3] +; Coordinates: +; (0) -17.5 +; (1) 0.7361153 +; (2) 540.1991 + +height = 11000 ; meters +tdp = stdatmus_z2tdp(height) ; tdp(3) = (/ -56.5, 0.3639178, 226.3206 /) +print(tdp) + +; Variable: tdp +; Type: float +; Total Size: 12 bytes +; 3 values +; Number of Dimensions: 1 +; Dimensions and sizes: [3] +; Coordinates: +; (0) -56.5 +; (1) 0.3639178 +; (2) 226.3206 diff --git a/ncl/receipts/stdatmus_z2tdp.ipynb b/ncl/receipts/stdatmus_z2tdp.ipynb index 14c2a463..23fd8c0a 100644 --- a/ncl/receipts/stdatmus_z2tdp.ipynb +++ b/ncl/receipts/stdatmus_z2tdp.ipynb @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 13, "id": "47cd64dda7652b64", "metadata": {}, "outputs": [], @@ -63,12 +63,12 @@ "\n", "results = {}\n", "\n", - "height = 100 # meters\n", - "stdatmus_100 = Atmosphere(height)\n", - "\n", - "results[\"temperature\"] = stdatmus_100.temperature_in_celsius[0]\n", - "results[\"density\"] = stdatmus_100.density[0]\n", - "results[\"pressure\"] = stdatmus_100.pressure[0] / 100" + "heights = [0, 100, 1000, 11000] # meters\n", + "for height in heights:\n", + " stdatmus = Atmosphere(height)\n", + " results[f\"{height}_temperature\"] = stdatmus.temperature_in_celsius[0]\n", + " results[f\"{height}_density\"] = stdatmus.density[0]\n", + " results[f\"{height}_pressure\"] = stdatmus.pressure[0] / 100" ] }, { @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 14, "id": "1fe6a51d83a36148", "metadata": {}, "outputs": [ @@ -89,17 +89,53 @@ "name": "stdout", "output_type": "stream", "text": [ - "density: \n", - "\tpython:\t1.213282967332296\n", - "\tncl:\t1.213282\n", + "100_pressure: \n", + "\tpython:\t1001.2945645595289\n", + "\tncl:\t1001.294\n", "\n", - "temperature: \n", + "0_pressure: \n", + "\tpython:\t1013.25\n", + "\tncl:\t1013.25\n", + "\n", + "0_density: \n", + "\tpython:\t1.225000018124288\n", + "\tncl:\t1.224999\n", + "\n", + "100_temperature: \n", "\tpython:\t14.350010225164397\n", "\tncl:\t14.35\n", "\n", - "pressure: \n", - "\tpython:\t1001.2945645595289\n", - "\tncl:\t1001.294\n", + "100_density: \n", + "\tpython:\t1.213282967332296\n", + "\tncl:\t1.213282\n", + "\n", + "1000_pressure: \n", + "\tpython:\t898.7627760234232\n", + "\tncl:\t898.7457\n", + "\n", + "1000_density: \n", + "\tpython:\t1.1116596736996904\n", + "\tncl:\t1.111642\n", + "\n", + "11000_pressure: \n", + "\tpython:\t226.9993683700412\n", + "\tncl:\t226.3206\n", + "\n", + "1000_temperature: \n", + "\tpython:\t8.501022371694717\n", + "\tncl:\t8.5\n", + "\n", + "11000_density: \n", + "\tpython:\t0.36480143683538285\n", + "\tncl:\t0.3639178\n", + "\n", + "11000_temperature: \n", + "\tpython:\t-56.37648729554445\n", + "\tncl:\t-56.5\n", + "\n", + "0_temperature: \n", + "\tpython:\t15.0\n", + "\tncl:\t15\n", "\n" ] } @@ -108,7 +144,20 @@ "import math\n", "import numpy as np\n", "\n", - "ncl_results = {\"temperature\": 14.35, \"density\": 1.213282, \"pressure\": 1001.294}\n", + "ncl_results = {\n", + " \"0_temperature\": 15,\n", + " \"0_density\": 1.224999,\n", + " \"0_pressure\": 1013.25,\n", + " \"100_temperature\": 14.35,\n", + " \"100_density\": 1.213282,\n", + " \"100_pressure\": 1001.294,\n", + " \"1000_temperature\": 8.5,\n", + " \"1000_density\": 1.111642,\n", + " \"1000_pressure\": 898.7457,\n", + " \"11000_temperature\": -56.5,\n", + " \"11000_density\": 0.3639178,\n", + " \"11000_pressure\": 226.3206,\n", + "}\n", "\n", "for c in ncl_results.keys() & results.keys():\n", " print(f\"{c}: \\n\\tpython:\\t{results[c]}\\n\\tncl:\\t{ncl_results[c]}\\n\")\n", @@ -130,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 15, "id": "f5e6b318-4a17-46bc-b1dc-93707a79a4d4", "metadata": {}, "outputs": [ @@ -138,12 +187,30 @@ "name": "stdout", "output_type": "stream", "text": [ - "density:\n", - "\t9.673322960424002e-07\n", - "temperature:\n", + "100_pressure:\n", + "\t0.0005645595289252014\n", + "0_pressure:\n", + "\t0.0\n", + "0_density:\n", + "\t1.018124287988087e-06\n", + "100_temperature:\n", "\t1.0225164396970854e-05\n", - "pressure:\n", - "\t0.0005645595289252014\n" + "100_density:\n", + "\t9.673322960424002e-07\n", + "1000_pressure:\n", + "\t0.017076023423101105\n", + "1000_density:\n", + "\t1.7673699690412548e-05\n", + "11000_pressure:\n", + "\t0.6787683700411833\n", + "1000_temperature:\n", + "\t0.0010223716947166395\n", + "11000_density:\n", + "\t0.0008836368353828394\n", + "11000_temperature:\n", + "\t0.12351270445554974\n", + "0_temperature:\n", + "\t0.0\n" ] } ], From 32a68d8a633425e9edf2c34c9c41437663d7bbab Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Mon, 22 Jul 2024 11:35:26 -0600 Subject: [PATCH 08/15] stdatmus_z2tdp ncl entry comparison --- .codespellrc | 2 +- ncl/ncl_entries/data/stdatmus_z2tdp.ncl | 6 + .../data/stdatmus_z2tdp_output.txt | 240008 +++++++++++++++ ncl/ncl_entries/stdatmus_z2tdp.ipynb | 141 +- 4 files changed, 240155 insertions(+), 2 deletions(-) create mode 100644 ncl/ncl_entries/data/stdatmus_z2tdp.ncl create mode 100644 ncl/ncl_entries/data/stdatmus_z2tdp_output.txt diff --git a/.codespellrc b/.codespellrc index 58ceb31f..fbc0552f 100644 --- a/.codespellrc +++ b/.codespellrc @@ -1,3 +1,3 @@ [codespell] # Words to ignore -ignore-words-list = te,bu,fOf,ue +ignore-words-list = te,bu,fOf,ue,hda diff --git a/ncl/ncl_entries/data/stdatmus_z2tdp.ncl b/ncl/ncl_entries/data/stdatmus_z2tdp.ncl new file mode 100644 index 00000000..8566563c --- /dev/null +++ b/ncl/ncl_entries/data/stdatmus_z2tdp.ncl @@ -0,0 +1,6 @@ +; ncl -n stdatmus_z2tdp.ncl >> stdatmus_z2tdp_output.txt +do n=0,80000 + begin + print(stdatmus_z2tdp(n)) + end +end do diff --git a/ncl/ncl_entries/data/stdatmus_z2tdp_output.txt b/ncl/ncl_entries/data/stdatmus_z2tdp_output.txt new file mode 100644 index 00000000..0a0776d4 --- /dev/null +++ b/ncl/ncl_entries/data/stdatmus_z2tdp_output.txt @@ -0,0 +1,240008 @@ + Copyright (C) 1995-2019 - All Rights Reserved + University Corporation for Atmospheric Research + NCAR Command Language Version 6.6.2 + The use of this software is governed by a License Agreement. + See http://www.ncl.ucar.edu/ for more details. +15 +1.224999 +1013.25 +14.9935 +1.224882 +1013.13 +14.987 +1.224764 +1013.01 +14.9805 +1.224646 +1012.89 +14.974 +1.224529 +1012.77 +14.9675 +1.224411 +1012.649 +14.961 +1.224294 +1012.529 +14.9545 +1.224176 +1012.409 +14.948 +1.224059 +1012.289 +14.9415 +1.223941 +1012.169 +14.935 +1.223824 +1012.049 +14.9285 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-101,6 +101,145 @@ "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html) which extends the model to 80 km. but will match the 1976 model in these parts. The Python `ambiance` package returns an array for each atmosphere property with more degrees of precision than NCL." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Compare NCL to `ambiance` values" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "# Collect NCL values for stdatmus_z2tdp from 0 to 50000\n", + "import numpy as np\n", + "\n", + "tdp_data = np.loadtxt(\"data/stdatmus_z2tdp_output.txt\", skiprows=5)\n", + "ncl_temperature = tdp_data[::3]\n", + "ncl_density = tdp_data[1::3]\n", + "ncl_pressure = tdp_data[2::3]" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "# Collect Python values from ambiance\n", + "from ambiance import Atmosphere\n", + "import numpy as np\n", + "\n", + "ambiance_density = []\n", + "ambiance_pressure = []\n", + "ambiance_temperature = []\n", + "\n", + "for height in np.arange(0, len(ncl_temperature)):\n", + " atmos = Atmosphere(height)\n", + " ambiance_density.append(atmos.density[0])\n", + " ambiance_pressure.append(atmos.pressure[0] / 100)\n", + " ambiance_temperature.append(atmos.temperature_in_celsius[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "### Compare Temperature\n", + "import matplotlib.pyplot as plt\n", + "\n", + "height_range = np.arange(0, len(ncl_temperature))\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "plt.title(\"Change in Temperature as Altitude Increases\")\n", + "plt.xlabel(\"Height (m)\")\n", + "plt.ylabel(\"Temperature (C)\")\n", + "plt.plot(height_range, ncl_temperature, label=\"NCL\")\n", + "plt.plot(height_range, ambiance_temperature, label=\"ambiance\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "### Compare Density\n", + "import matplotlib.pyplot as plt\n", + "\n", + "height_range = np.arange(0, len(ncl_density))\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "plt.title(\"Change in Density as Altitude Increases\")\n", + "plt.xlabel(\"Height (m)\")\n", + "plt.ylabel(\"Density (kg/m^3)\")\n", + "plt.plot(height_range, ncl_density, label=\"NCL\")\n", + "plt.plot(height_range, ambiance_density, label=\"Python\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "### Compare Pressure\n", + "import matplotlib.pyplot as plt\n", + "\n", + "height_range = np.arange(0, len(ncl_pressure))\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 10))\n", + "plt.title(\"Change in Pressure as Altitude Increases\")\n", + "plt.xlabel(\"Height (m)\")\n", + "plt.ylabel(\"Pressure (hPa mB)\")\n", + "plt.plot(height_range, ncl_pressure, label=\"NCL\")\n", + "plt.plot(height_range, ambiance_pressure, label=\"Python\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, { "cell_type": "markdown", "metadata": {}, From 610396a13d0f402fd26d20fd283acd6ec57db04e Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Mon, 22 Jul 2024 11:54:13 -0600 Subject: [PATCH 09/15] ncl entry edits --- ncl/ncl_entries/stdatmus_z2tdp.ipynb | 26 ++++++++++++++------------ 1 file changed, 14 insertions(+), 12 deletions(-) diff --git a/ncl/ncl_entries/stdatmus_z2tdp.ipynb b/ncl/ncl_entries/stdatmus_z2tdp.ipynb index ea993206..e23ceda0 100644 --- a/ncl/ncl_entries/stdatmus_z2tdp.ipynb +++ b/ncl/ncl_entries/stdatmus_z2tdp.ipynb @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 61, "metadata": {}, "outputs": [ { @@ -98,7 +98,7 @@ "stdatmus_z2tdp Millibar unit = ambiance Pascal unit / 100\n", "```\n", "\n", - "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html) which extends the model to 80 km. but will match the 1976 model in these parts. The Python `ambiance` package returns an array for each atmosphere property with more degrees of precision than NCL." + "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html) which extends the model to 80 km. but will mostly match the 1976 model in these parts." ] }, { @@ -110,22 +110,24 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 62, "metadata": {}, "outputs": [], "source": [ - "# Collect NCL values for stdatmus_z2tdp from 0 to 50000\n", + "# Collect NCL values for stdatmus_z2tdp from 0 to 80000\n", "import numpy as np\n", "\n", "tdp_data = np.loadtxt(\"data/stdatmus_z2tdp_output.txt\", skiprows=5)\n", - "ncl_temperature = tdp_data[::3]\n", - "ncl_density = tdp_data[1::3]\n", - "ncl_pressure = tdp_data[2::3]" + "ncl_temperature = tdp_data[\n", + " ::3\n", + "] # temperature first element, every third element in list\n", + "ncl_density = tdp_data[1::3] # density second element, every third element in list\n", + "ncl_pressure = tdp_data[2::3] # pressure third element, every third element in list" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -140,13 +142,13 @@ "for height in np.arange(0, len(ncl_temperature)):\n", " atmos = Atmosphere(height)\n", " ambiance_density.append(atmos.density[0])\n", - " ambiance_pressure.append(atmos.pressure[0] / 100)\n", + " ambiance_pressure.append(atmos.pressure[0] / 100) # convert to Millibar\n", " ambiance_temperature.append(atmos.temperature_in_celsius[0])" ] }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 64, "metadata": {}, "outputs": [ { @@ -178,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 65, "metadata": {}, "outputs": [ { @@ -210,7 +212,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 66, "metadata": {}, "outputs": [ { From 8f6749fdfaad4b2cfe770ef5861a4276e2f05728 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Tue, 23 Jul 2024 13:02:34 -0600 Subject: [PATCH 10/15] remove words-to-ignore --- .codespellrc | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/.codespellrc b/.codespellrc index 247614f4..761bc866 100644 --- a/.codespellrc +++ b/.codespellrc @@ -1,6 +1,4 @@ [codespell] -# Words to ignore -ignore-words-list = te,bu,fOf,ue,hda -# Extensions to ignore +# Words and Files to ignore skip=.git,*.pdf,*.svg -ignore-regex=^\s*"image/\S+": ".* \ No newline at end of file +ignore-regex=^\s*"image/\S+": ".* From 37718f6fb45826038cbb08cdf89c74fc5033593a Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Tue, 23 Jul 2024 13:49:09 -0600 Subject: [PATCH 11/15] applications edits --- ncl/ncl_entries/stdatmus_z2tdp.ipynb | 18 ++++++++++-------- 1 file changed, 10 insertions(+), 8 deletions(-) diff --git a/ncl/ncl_entries/stdatmus_z2tdp.ipynb b/ncl/ncl_entries/stdatmus_z2tdp.ipynb index e23ceda0..721c062f 100644 --- a/ncl/ncl_entries/stdatmus_z2tdp.ipynb +++ b/ncl/ncl_entries/stdatmus_z2tdp.ipynb @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 86, "metadata": {}, "outputs": [ { @@ -98,7 +98,7 @@ "stdatmus_z2tdp Millibar unit = ambiance Pascal unit / 100\n", "```\n", "\n", - "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html) which extends the model to 80 km. but will mostly match the 1976 model in these parts." + "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html). The [U.S Standard Atmosphere model](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere) largely consistent with the International Standard Atmosphere model with discrepancies in temperatures at higher altitudes. " ] }, { @@ -110,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 87, "metadata": {}, "outputs": [], "source": [ @@ -127,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 88, "metadata": {}, "outputs": [], "source": [ @@ -148,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 89, "metadata": {}, "outputs": [ { @@ -180,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 90, "metadata": {}, "outputs": [ { @@ -212,7 +212,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 91, "metadata": {}, "outputs": [ { @@ -249,7 +249,9 @@ "## Python Resources\n", "\n", "- Python [`ambiance`](https://ambiance.readthedocs.io/en/latest/) documentation\n", - "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation" + "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation\n", + "- [U.S Standard Atmosphere Model (Wikipedia)](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere)\n", + "- [International Standard Atmosphere (Wikipedia)](https://en.wikipedia.org/wiki/International_Standard_Atmosphere)" ] } ], From 94ada4d8c119a2f1a1f2a9f1feb747f3c4e53ee3 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Tue, 23 Jul 2024 14:13:13 -0600 Subject: [PATCH 12/15] description edits --- .../data_analysis/stdatmus_z2tdp.ipynb | 21 ++++++++++--------- ncl/ncl_entries/stdatmus_z2tdp.ipynb | 16 +++++++------- 2 files changed, 19 insertions(+), 18 deletions(-) diff --git a/applications/data_analysis/stdatmus_z2tdp.ipynb b/applications/data_analysis/stdatmus_z2tdp.ipynb index 075dd043..1be54a6b 100644 --- a/applications/data_analysis/stdatmus_z2tdp.ipynb +++ b/applications/data_analysis/stdatmus_z2tdp.ipynb @@ -33,7 +33,7 @@ "source": [ "## [`ambiance`](https://ambiance.readthedocs.io/en/latest/) Python Package\n", "\n", - "There are different models to represent how the atmosphere changes with height. The older 1976 NASA _U.S Standard Atmosphere_ and the more recent 1993 International Civil Aviation Organization (ICAO) _Manual of the ICAO Standard Atmosphere_ which extends the efficacy of the 1976 model to 80 km. The `ambiance` package makes use of the 1993 model, but will [match the 1976 model in most parts](https://ambiance.readthedocs.io/en/latest/theory/references.html). `ambiance` supports altitudes from -5004 m to 81020 m measured at sea-level.\n", + "There are different models to represent how the atmosphere changes with height including the older 1976 NASA _U.S Standard Atmosphere_ and the 1993 International Civil Aviation Organization (ICAO) _Manual of the ICAO Standard Atmosphere_. The [U.S Standard Atmosphere model](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere) is largely [consistent](https://ambiance.readthedocs.io/en/latest/theory/references.html) with the International Standard Atmosphere model with discrepancies in temperatures at higher altitudes. The `ambiance` package supports altitudes from -5004 m to 81020 m measured at sea-level.\n", "\n", "The `ambiance` package will return the atmosphere properties:\n", "- Density (`density`)\n", @@ -67,7 +67,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -106,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -145,7 +145,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -184,7 +184,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -223,7 +223,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -253,7 +253,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -287,7 +287,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -321,7 +321,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -355,7 +355,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -392,6 +392,7 @@ "- Python [`ambiance` documentation](https://ambiance.readthedocs.io/en/latest/)\n", "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation\n", "- [International Standard Atmosphere (Wikipedia)](https://en.wikipedia.org/wiki/International_Standard_Atmosphere)\n", + "- [U.S Standard Atmosphere model (Wikipedia)](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere)\n", "- [Layers of Earth's Atmosphere (NSF UCAR/NCAR)](https://scied.ucar.edu/learning-zone/atmosphere/layers-earths-atmosphere)" ] } diff --git a/ncl/ncl_entries/stdatmus_z2tdp.ipynb b/ncl/ncl_entries/stdatmus_z2tdp.ipynb index 721c062f..37bc5f0f 100644 --- a/ncl/ncl_entries/stdatmus_z2tdp.ipynb +++ b/ncl/ncl_entries/stdatmus_z2tdp.ipynb @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 92, "metadata": {}, "outputs": [ { @@ -98,7 +98,7 @@ "stdatmus_z2tdp Millibar unit = ambiance Pascal unit / 100\n", "```\n", "\n", - "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html). The [U.S Standard Atmosphere model](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere) largely consistent with the International Standard Atmosphere model with discrepancies in temperatures at higher altitudes. " + "Also, while the `stdatmus_z2tdp` NCL function is based on the 1976 U.S. standard atmosphere model, `ambiance` is an implementation of [1993 ICAO Standard Atmosphere](https://ambiance.readthedocs.io/en/latest/theory/references.html). The [U.S Standard Atmosphere model](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere) is largely consistent with the International Standard Atmosphere model with discrepancies in temperatures at higher altitudes. " ] }, { @@ -110,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 93, "metadata": {}, "outputs": [], "source": [ @@ -127,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 94, "metadata": {}, "outputs": [], "source": [ @@ -148,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 95, "metadata": {}, "outputs": [ { @@ -180,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 96, "metadata": {}, "outputs": [ { @@ -212,7 +212,7 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 97, "metadata": {}, "outputs": [ { @@ -248,7 +248,7 @@ "source": [ "## Python Resources\n", "\n", - "- Python [`ambiance`](https://ambiance.readthedocs.io/en/latest/) documentation\n", + "- Python [`ambiance` documentation](https://ambiance.readthedocs.io/en/latest/)\n", "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation\n", "- [U.S Standard Atmosphere Model (Wikipedia)](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere)\n", "- [International Standard Atmosphere (Wikipedia)](https://en.wikipedia.org/wiki/International_Standard_Atmosphere)" From 11aaedf05f7347781fbaf66748615c9227236568 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Tue, 23 Jul 2024 19:13:20 -0600 Subject: [PATCH 13/15] resolve conflicts --- ncl/ncl_entries/ncl_entries.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ncl/ncl_entries/ncl_entries.rst b/ncl/ncl_entries/ncl_entries.rst index 8e8abe21..cc40a222 100644 --- a/ncl/ncl_entries/ncl_entries.rst +++ b/ncl/ncl_entries/ncl_entries.rst @@ -17,4 +17,4 @@ Dates and Times :maxdepth: 1 days_in_month.ipynb - day_of_week.ipynb \ No newline at end of file + day_of_week.ipynb From b46dd8dabdfc3e66caa99c6ea2074440f44984a0 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Thu, 1 Aug 2024 11:19:53 -0600 Subject: [PATCH 14/15] remove python entry --- applications/applications.rst | 2 - applications/data_analysis/data_analysis.rst | 1 - .../data_analysis/stdatmus_z2tdp.ipynb | 421 ------------------ 3 files changed, 424 deletions(-) delete mode 100644 applications/data_analysis/stdatmus_z2tdp.ipynb diff --git a/applications/applications.rst b/applications/applications.rst index a8f6ad4d..95a0d20f 100644 --- a/applications/applications.rst +++ b/applications/applications.rst @@ -21,8 +21,6 @@ .. card:: `Data Analysis `_ - - `Atmosphere Properties above Sea-Level `_ - - `Calculating Climatologies `_ .. grid-item:: diff --git a/applications/data_analysis/data_analysis.rst b/applications/data_analysis/data_analysis.rst index 1c5329fc..e48a1bad 100644 --- a/applications/data_analysis/data_analysis.rst +++ b/applications/data_analysis/data_analysis.rst @@ -8,5 +8,4 @@ Data Analysis .. toctree:: :maxdepth: 1 - stdatmus_z2tdp.ipynb climatology.ipynb diff --git a/applications/data_analysis/stdatmus_z2tdp.ipynb b/applications/data_analysis/stdatmus_z2tdp.ipynb deleted file mode 100644 index 1be54a6b..00000000 --- a/applications/data_analysis/stdatmus_z2tdp.ipynb +++ /dev/null @@ -1,421 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Atmosphere Properties above Sea-Level" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Overview\n", - "\n", - "The properties of the atmosphere change with the height and this notebook will cover:\n", - "- International Standard Atmosphere\n", - "- `ambiance` Python package" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## International Standard Atmosphere\n", - "\n", - "The International Standard Atmosphere represents a static model for how the atmosphere changes over a range of altitiudes above sea-level. The atmosphere is split into different named layers, where properties like temperature, pressure, and density change at predictable rates." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## [`ambiance`](https://ambiance.readthedocs.io/en/latest/) Python Package\n", - "\n", - "There are different models to represent how the atmosphere changes with height including the older 1976 NASA _U.S Standard Atmosphere_ and the 1993 International Civil Aviation Organization (ICAO) _Manual of the ICAO Standard Atmosphere_. The [U.S Standard Atmosphere model](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere) is largely [consistent](https://ambiance.readthedocs.io/en/latest/theory/references.html) with the International Standard Atmosphere model with discrepancies in temperatures at higher altitudes. The `ambiance` package supports altitudes from -5004 m to 81020 m measured at sea-level.\n", - "\n", - "The `ambiance` package will return the atmosphere properties:\n", - "- Density (`density`)\n", - "- Pressure (`pressure`)\n", - "- Temperature (`temperature_in_celsius`)\n", - "- Collision frequency (`collision_frequency`)\n", - "- Dynamic viscosity (`dynamic_viscosity`)\n", - "- Geometric height above [mean sea-level](https://en.wikipedia.org/wiki/Sea_level) (`h`)\n", - "- Geopotential height (`H`)\n", - "- Gravitational acceleration (`grav_accel`)\n", - "- Kinematic viscosity (`kinematic_viscosity`)\n", - "- Layer names (`layer_name`)\n", - "- Mean free path (`mean_free_path`)\n", - "- Mean particle speed (`mean_particle_speed`)\n", - "- Number density (`number_density`)\n", - "- Pressure scale height (`pressure_scale_height`)\n", - "- Specific weight (`specific_weight`)\n", - "- Speed of sound (`speed_of_sound`)\n", - "- Temperature (`temperature`)\n", - "- Thermal conductivity (`thermal_conductivity`)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Troposphere: 0 - 11,000 meters\n", - "\n", - "The troposphere represents the lowest layer of the Earth's atmospehre. This layer starts at ground level and represents where humans live and most weather occurs." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Layer Name : troposphere\n", - "Density : 1.0419118563343137 kg/m^3\n", - "Pressure : 829.6443728102801 hPa (mB)\n", - "Temperature : 4.245300013163671 C\n", - "Speed of sound : 333.8831588903602 m/s\n" - ] - } - ], - "source": [ - "from ambiance import Atmosphere\n", - "\n", - "height = 1655 # meters above sea-level (city of Boulder)\n", - "atmos = Atmosphere(height)\n", - "\n", - "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", - "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", - "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", - "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", - "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Stratosphere: 20,000 - 47,000 m\n", - "\n", - "The stratosphere is where the ozone layer is found and a region where the temperature increases instead of decreasing." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Layer Name : stratosphere\n", - "Density : 0.07506116031700617 kg/m^3\n", - "Pressure : 46.89266390221175 hPa (mB)\n", - "Temperature : -55.51550194831461 C\n", - "Speed of sound : 295.7391590362088 m/s\n" - ] - } - ], - "source": [ - "from ambiance import Atmosphere\n", - "\n", - "height = 21054 # meters above sea-level\n", - "atmos = Atmosphere(height)\n", - "\n", - "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", - "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", - "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", - "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", - "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Stratopause: 47,000 - 51,000 m\n", - "\n", - "The stratopause is a boundary level between the stratosphere and the mesophere, where the peak temperature of the stratosphere occurs." - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Layer Name : stratopause\n", - "Density : 0.0009068993840302901 kg/m^3\n", - "Pressure : 0.704577924126659 hPa (mB)\n", - "Temperature : -2.5 C\n", - "Speed of sound : 329.79873100377444 m/s\n" - ] - } - ], - "source": [ - "from ambiance import Atmosphere\n", - "\n", - "height = 51000 # meters above sea-level\n", - "atmos = Atmosphere(height)\n", - "\n", - "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", - "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", - "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", - "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", - "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Mesosphere: 51,000 - 84,852 m\n", - "\n", - "The mesosphere is an upper layer of the atmosphere where meteors typically burn up and where the coldest temperature in the Earth's atmosphere is found." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Layer Name : mesosphere\n", - "Density : 0.0002732109244679118 kg/m^3\n", - "Pressure : 0.1915738320683427 hPa (mB)\n", - "Temperature : -28.876569042872546 C\n", - "Speed of sound : 313.3163659775633 m/s\n" - ] - } - ], - "source": [ - "from ambiance import Atmosphere\n", - "\n", - "height = 61000 # meters\n", - "atmos = Atmosphere(height)\n", - "\n", - "print(f\"Layer Name : {atmos.layer_name[0]}\")\n", - "print(f\"Density : {atmos.density[0]} kg/m^3\")\n", - "print(f\"Pressure : {atmos.pressure[0]/100} hPa (mB)\")\n", - "print(f\"Temperature : {atmos.temperature_in_celsius[0]} C\")\n", - "print(f\"Speed of sound : {atmos.speed_of_sound[0]} m/s\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Collect Changes in Atmosphere Properties with Altitude\n", - "\n", - "Properties like density, pressure, temperature, and the speed of sound all change with the height above sea-level in the atmosphere." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "from ambiance import Atmosphere\n", - "import numpy as np\n", - "\n", - "height_range = np.arange(-5004, 81020, 100)\n", - "density = []\n", - "pressure = []\n", - "temperature = []\n", - "speed_of_sound = []\n", - "\n", - "for height in height_range:\n", - " atmos = Atmosphere(height)\n", - " density.append(atmos.density[0])\n", - " pressure.append(atmos.pressure[0] / 100)\n", - " temperature.append(atmos.temperature_in_celsius[0])\n", - " speed_of_sound.append(atmos.speed_of_sound[0])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Plot Change in Density as Altitude Increases" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "fig, ax = plt.subplots(figsize=(10, 10))\n", - "plt.title(\"Change in Density as Altitude Increases\")\n", - "plt.xlabel(\"Height (m)\")\n", - "plt.ylabel(\"Density (kg/m^3)\")\n", - "plt.plot(height_range, density)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Plot Change in Pressure as Altitude Increases" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "fig, ax = plt.subplots(figsize=(10, 10))\n", - "plt.title(\"Change in Pressure as Altitude Increases\")\n", - "plt.xlabel(\"Height (m)\")\n", - "plt.ylabel(\"Pressure (hPa mB)\")\n", - "plt.plot(height_range, pressure)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Plot Change in Temperature as Altitude Increases" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "fig, ax = plt.subplots(figsize=(10, 10))\n", - "plt.title(\"Change in Temperature as Altitude Increases\")\n", - "plt.xlabel(\"Height (m)\")\n", - "plt.ylabel(\"Temperature (C)\")\n", - "plt.plot(height_range, temperature)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Plot Change in Speed of Sound as Altitude Increases" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "fig, ax = plt.subplots(figsize=(10, 10))\n", - "plt.title(\"Change in Speed of Sound as Altitude Increases\")\n", - "plt.xlabel(\"Height (m)\")\n", - "plt.ylabel(\"Speed of Sound (m/s)\")\n", - "plt.plot(height_range, speed_of_sound)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Curated Resources\n", - "\n", - "To learn more about working with atmosphere properties in Python, we suggest:\n", - "- Python [`ambiance` documentation](https://ambiance.readthedocs.io/en/latest/)\n", - "- [1976 U.S. standard atmosphere](https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976/us-standard-atmosphere_st76-1562_noaa.pdf) documentation\n", - "- [International Standard Atmosphere (Wikipedia)](https://en.wikipedia.org/wiki/International_Standard_Atmosphere)\n", - "- [U.S Standard Atmosphere model (Wikipedia)](https://en.wikipedia.org/wiki/U.S._Standard_Atmosphere)\n", - "- [Layers of Earth's Atmosphere (NSF UCAR/NCAR)](https://scied.ucar.edu/learning-zone/atmosphere/layers-earths-atmosphere)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.8" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} From 89d9d56a3b20c7ebb0720d61b73a4813e5d6ef31 Mon Sep 17 00:00:00 2001 From: cyschneck <22159116+cyschneck@users.noreply.github.com> Date: Tue, 6 Aug 2024 12:17:25 -0600 Subject: [PATCH 15/15] disclaimer for ambiance package --- ncl/ncl_entries/stdatmus_z2tdp.ipynb | 10 ++++++++++ ncl/ncl_index/ncl-index-table.csv | 2 +- ncl/ncl_index/ncl_index.rst | 3 +++ 3 files changed, 14 insertions(+), 1 deletion(-) diff --git a/ncl/ncl_entries/stdatmus_z2tdp.ipynb b/ncl/ncl_entries/stdatmus_z2tdp.ipynb index 37bc5f0f..3e8af25d 100644 --- a/ncl/ncl_entries/stdatmus_z2tdp.ipynb +++ b/ncl/ncl_entries/stdatmus_z2tdp.ipynb @@ -7,6 +7,16 @@ "# stdatmus_z2tdp" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "

Disclaimer

\n", + " This package is not endorsed by NSF NCAR. This package is suggested \"as-is\" for a potential solution in an effort to offer continued support for the transition from NCL To Python. This page is subject to change, but the output has been verified and differences are listed below.\n", + "
" + ] + }, { "cell_type": "markdown", "metadata": {}, diff --git a/ncl/ncl_index/ncl-index-table.csv b/ncl/ncl_index/ncl-index-table.csv index 21109e11..7c74e444 100644 --- a/ncl/ncl_index/ncl-index-table.csv +++ b/ncl/ncl_index/ncl-index-table.csv @@ -11,4 +11,4 @@ NCL Function,Description,Python Equivalent,Notes `tanh `__,"Computes the hyperbolic tangent of numeric types","``math.tanh()`` or ``numpy.tanh()``",`example notebook <../ncl_entries/trigonometric_functions.ipynb#tanh>`__ `days_in_month `__,"Calculates the number of days in a month given month and year","``cftime.datetime().daysinmonth``",`details <../ncl_entries/days_in_month.ipynb>`__ `day_of_week `__,"Calculates the day of the week given month, day, and year","``cftime.datetime().dayofwk``",`details <../ncl_entries/day_of_week.ipynb>`__ -`stdatmus_z2tdp `__,"Calculates the corresponding temperature, density, and pressure based on the 1976 U.S. standard atmosphere, given the height","``ambiance.Atmosphere()``",`Example Notebook <../ncl_entries/stdatmus_z2tdp.ipynb>`__ +`stdatmus_z2tdp `__,"Calculates the corresponding temperature, density, and pressure based on the 1976 U.S. standard atmosphere, given the height","``ambiance.Atmosphere()`` * ",`Example Notebook <../ncl_entries/stdatmus_z2tdp.ipynb>`__ diff --git a/ncl/ncl_index/ncl_index.rst b/ncl/ncl_index/ncl_index.rst index 67893ad3..666dbb8d 100644 --- a/ncl/ncl_index/ncl_index.rst +++ b/ncl/ncl_index/ncl_index.rst @@ -13,3 +13,6 @@ NCL Index .. note:: For more information on how we verify these recommendations, see the :ref:`receipts`. + +.. important:: + Asterisks represent packages that are subject to change. Asterisks indicate pages are not fully endorsed by NSF NCAR, but offer a current potential solution to transition from NCL to Python