Introduction¶
This notebook demonstrates how to use GLAES to systematically place objects (such as wind turbines) within a predefined study area.
Workflow Overview:¶
- Create file with available lands like in 00_basic_workflow.
- Distribute item placements within the eligible regions
- basic placement
- spare the edges of a region
- direction-dependent placements
- get placement coordinates
- use wind direction data for placements
- spatially varying raster
- individual placement areas
# Import GLAES
import glaes as gl
import geokit as gk
import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline
#other imports
from copy import copy
1. Create the land eligibility analysis¶
Here the eligibile land file from the first example notebook is recreated, for details have a look into 00_basic_workflow.
# Choose a region to operate on (Here, a predefined region for Aachen, Germany is used)
regionPath = gl._test_data_["aachenShapefile.shp"]
# Initialize ExclusionCalculator object
ec = gl.ExclusionCalculator(regionPath, srs=3035, pixelRes=100)
# Apply exclusions
ec.excludeRasterType(gl._test_data_["clc-aachen_clipped.tif"], value=(12,22))
ec.excludeVectorType(gl._test_data_["aachenRoads.shp"], where="type='motorway' OR type='primary' OR type='trunk'", buffer=200)
# Draw result
ec.draw()
c:\Users\j.mutke\AppData\Local\miniforge3\envs\glaes\lib\site-packages\geokit\core\regionmask.py:958: UserWarning: Multiprocessing has been set to 'False' because it is not available for Windows or Mac. To deactivate this warning, please set the multiProcess variable to False. On Windows and Mac, new processes must be spawned, which requires the serialisation of the method to be executed via multiprocessing. However, Geokit contains objects that cannot be serialised by Pickle. On Linux, however, new processes are inherited and no serialisation is required. warn(multi_processing_warning_message)
Memory useage during calc: 88.15234375 MB
c:\Users\j.mutke\AppData\Local\miniforge3\envs\glaes\lib\site-packages\geokit\core\regionmask.py:1560: UserWarning: Memory efficient multiProcess failed, returning to safe linear processing. warn(
Memory useage during calc: 215.36328125 MB
<Axes: >
Copy the ec object after land eligibility analysis.
# make a copy of the ec object so we can "reset" the ec object after distributing placements and have a "clean" ec again
ec_backup = copy(ec)
2. Distribute item placements within the eligible regions¶
Basic Placement¶
"Separation" specifies the minimal distance between two objects.
# Do placements
ec.distributeItems(separation=1000)
# Draw result
ec.draw()
<Axes: >
Spare the edges of a region¶
Sometimes it is needed to spare the edges of a region so that the separation distances are maintained also between placements of neighbouring regions (avoidRegionBorders=True).
# reset the ec object to remove the "old" placements from above
ec = copy(ec_backup)
# repeat the step above and set the argument avoidRegionBorders to True
ec.distributeItems(separation=1000, avoidRegionBorders=True)
# Draw result. In comparison to above you can see that no placements are distributed towards the edges of the region, you can also see that less items were distributed
ec.draw()
c:\Users\j.mutke\AppData\Local\miniforge3\envs\glaes\lib\site-packages\geokit\core\regionmask.py:1560: UserWarning: Memory efficient multiProcess failed, returning to safe linear processing. warn(
Memory useage during calc: 221.46484375 MB
<Axes: >
Direction-dependent placements¶
If two different separation distances are defined, they represent the minimum required spacing between two objects along two perpendicular directions: an axial direction and a transverse direction. The axialDirection parameter specifies the orientation of the axial axis in degrees, measured counter-clockwise relative to East. For example, 0 aligns the axial direction east–west, 45 aligns it north-east–south-west, and 90 aligns it north–south. When both axial and transverse distances are provided, the effective buffer distance applied at the boundary is the average of the two separation distances.
# reset the ec object again
ec = copy(ec_backup)
# do placements with "separation=(axial, transverse), axialDirection"
ec.distributeItems(separation=(1200, 600), axialDirection=45, avoidRegionBorders=True)
# Draw result
ec.draw()
450
c:\Users\j.mutke\AppData\Local\miniforge3\envs\glaes\lib\site-packages\geokit\core\regionmask.py:1560: UserWarning: Memory efficient multiProcess failed, returning to safe linear processing. warn(
Memory useage during calc: 222.46875 MB
<Axes: >
Get the placements as XY coordinates¶
#print only the first 5 placements
print(ec.itemCoords[:5])
[[4053200.01 3098499.99] [4053550. 3098000.01] [4054800.01 3097999.99] [4051400.01 3097899.99] [4051850. 3097500.01]]
Use wind direction data for placements¶
ec.distributeItems(
(1400, 600),
axialDirection=r"data/ERA5_wind_direction_100m_mean_Aachen.tif",
outputSRS=gk.srs.EPSG4326 )
ec.draw()
<Axes: >
Create a spatially varying raster and use it to apply location-dependent spacing when distributing items.¶
# Create a raster with values increasing from 50 to 200 from top to bottom
mat = np.zeros_like(ec.region.mask, dtype=np.uint8)
for i in range(mat.shape[0]):
mat[i,:] = (200-50)*i/(mat.shape[0]) + 50
# Show the raster
h = plt.imshow(mat)
plt.colorbar(h)
plt.show()
# Convert the array into a raster used to scale separation distances
rotor_diam_raster = ec.region.createRaster(output="tmp/rotor_diameter.tif", data=mat)
# Place items using a variable spacing:
# effective spacing = 8.0 × local raster value
points = ec.distributeItems(
separation=8.0,
sepScaling=rotor_diam_raster)
ec.draw()
<Axes: >
Individual placement areas¶
Additionally the hole area can be divided into one area for each placement and those can be saved as well. 'asArea=True' invokes the identification of nearby eligible areas using Voronoi ploygons.
_old_polygon = gk.geom.polygon
# geokit expects polygon coordinates as Python tuples like (x, y),
# but ec.distributeItems(asArea=True) may pass NumPy arrays instead.
# This wrapper converts array/list coordinates to tuples before
# calling the original polygon function.
def polygon_fix(outerRing, srs=None, *args):
outerRing = [tuple(p) if isinstance(p, (np.ndarray, list)) else p for p in outerRing]
return _old_polygon(outerRing, srs=srs, *args)
# Replace geokit's polygon function with the patched version
gk.geom.polygon = polygon_fix
# Create placement areas (polygons around placed items) and save them as a shapefile
areas = ec.distributeItems(separation=1000, asArea=True, output="tmp/individual_placement_areas.shp")
# Create only the placement points and save them as a shapefile
points = ec.distributeItems(separation=1000, asArea=False, output="tmp/individual_placement_points.shp")
ec.draw()
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3050253.25627496] <class 'numpy.ndarray'> False 4 [4054040.52957476 3052132.0613486 ] <class 'numpy.ndarray'> False 5 [4054056.42565974 3052497.62468082] <class 'numpy.ndarray'> False PATH CHECK: 0 [4054193.41368606 3052701.51573294] <class 'numpy.ndarray'> False 1 [4054215.67408437 3053107.84704218] <class 'numpy.ndarray'> False 2 [4053926.24724597 3053605.28336694] <class 'numpy.ndarray'> False 3 [4053333.0298149 3053833.44391735] <class 'numpy.ndarray'> False 4 [4052627.09031482 3053195.82937036] <class 'numpy.ndarray'> False 5 [4052904.16944438 3052641.67111123] <class 'numpy.ndarray'> False 6 [4054056.42565974 3052497.62468082] <class 'numpy.ndarray'> False 7 [4054193.41368606 3052701.51573294] <class 'numpy.ndarray'> False PATH CHECK: 0 [4049020.29028698 3093724.18180434] <class 'numpy.ndarray'> False 1 [4048991.89275194 3092588.7345817 ] <class 'numpy.ndarray'> False 2 [4048152.42818049 3092225.71895063] <class 'numpy.ndarray'> False 3 [4047941.02495361 3092385.34953605] <class 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3087145.80541519] <class 'numpy.ndarray'> False 2 [4040252.39095238 3086333.04322129] <class 'numpy.ndarray'> False 3 [4040612.16276722 3085550.01044781] <class 'numpy.ndarray'> False 4 [4042936.27914814 3085608.09127779] <class 'numpy.ndarray'> False 5 [4043280.59635653 3086404.35602748] <class 'numpy.ndarray'> False PATH CHECK: 0 [4066174.88051378 3065248.95806598] <class 'numpy.ndarray'> False 1 [4067156.09792877 3067517.9988077 ] <class 'numpy.ndarray'> False 2 [4067153.27115088 3067935.5542843 ] <class 'numpy.ndarray'> False 3 [4066512.01279124 3067618.30151272] <class 'numpy.ndarray'> False 4 [4065178.57724667 3065705.14465583] <class 'numpy.ndarray'> False 5 [4065850.11200164 3065176.0502538 ] <class 'numpy.ndarray'> False 6 [4066174.88051378 3065248.95806598] <class 'numpy.ndarray'> False PATH CHECK: 0 [4066174.88051378 3065248.95806598] <class 'numpy.ndarray'> False 1 [4066775.11190436 3064776.05002883] <class 'numpy.ndarray'> False 2 [4067788.49221179 3065003.5536969 ] <class 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[4059891.30434783 3076070.66217391] <class 'numpy.ndarray'> False 1 [4059908.69565217 3076129.35782609] <class 'numpy.ndarray'> False 2 [4060624.99375014 3076487.50687507] <class 'numpy.ndarray'> False 3 [4061266.90513147 3076095.21898008] <class 'numpy.ndarray'> False 4 [4060865.31690141 3075392.43957746] <class 'numpy.ndarray'> False 5 [4060259.68309859 3075407.58042254] <class 'numpy.ndarray'> False 6 [4059891.30434783 3076070.66217391] <class 'numpy.ndarray'> False PATH CHECK: 0 [4059870.54597701 3074726.59045977] <class 'numpy.ndarray'> False 1 [4059929.45402299 3074573.42954023] <class 'numpy.ndarray'> False 2 [4060579.5212766 3074297.15095745] <class 'numpy.ndarray'> False 3 [4061210.78431373 3074770.59823529] <class 'numpy.ndarray'> False 4 [4060865.31690141 3075392.43957746] <class 'numpy.ndarray'> False 5 [4060259.68309859 3075407.58042254] <class 'numpy.ndarray'> False 6 [4059870.54597701 3074726.59045977] <class 'numpy.ndarray'> False PATH CHECK: 0 [4057449.50721888 3076176.93080635] <class 'numpy.ndarray'> False 1 [4057823.61111111 3075311.81555556] <class 'numpy.ndarray'> False 2 [4058748.07692308 3075774.04846154] <class 'numpy.ndarray'> False 3 [4058592.51249635 3076370.37876397] <class 'numpy.ndarray'> False 4 [4058054.88731625 3076598.87484177] <class 'numpy.ndarray'> False 5 [4057449.50721888 3076176.93080635] <class 'numpy.ndarray'> False PATH CHECK: 0 [4051184.59302326 3068957.71348837] <class 'numpy.ndarray'> False 1 [4051923.61111111 3068588.20444444] <class 'numpy.ndarray'> False 2 [4052389.04068665 3069402.70620163] <class 'numpy.ndarray'> False 3 [4052260.95047857 3069697.31111839] <class 'numpy.ndarray'> False 4 [4051606.84604905 3069877.18983651] <class 'numpy.ndarray'> False 5 [4051090.40697674 3069342.30651163] <class 'numpy.ndarray'> False 6 [4051184.59302326 3068957.71348837] <class 'numpy.ndarray'> False PATH CHECK: 0 [4051184.59302326 3068957.71348837] <class 'numpy.ndarray'> False 1 [4050666.42296611 3068421.03735776] <class 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'numpy.ndarray'> False 4 [4060765.77425855 3089733.15551482] <class 'numpy.ndarray'> False 5 [4060950.19867042 3090295.22157132] <class 'numpy.ndarray'> False PATH CHECK: 0 [4061575.00719231 3088959.61545653] <class 'numpy.ndarray'> False 1 [4061574.99374986 3088287.49312507] <class 'numpy.ndarray'> False 2 [4062201.71588583 3087974.13205709] <class 'numpy.ndarray'> False 3 [4065222.88075855 3089383.994675 ] <class 'numpy.ndarray'> False 4 [4065184.12608284 3089632.47613401] <class 'numpy.ndarray'> False 5 [4062828.96502499 3089570.49886383] <class 'numpy.ndarray'> False 6 [4061575.00719231 3088959.61545653] <class 'numpy.ndarray'> False PATH CHECK: 0 [4061165.18575233 3090334.91173838] <class 'numpy.ndarray'> False 1 [4064576.63128205 3093868.24682595] <class 'numpy.ndarray'> False 2 [4065596.17264913 3092565. ] <class 'numpy.ndarray'> False 3 [4065184.12608284 3089632.47613401] <class 'numpy.ndarray'> False 4 [4062828.96502499 3089570.49886383] <class 'numpy.ndarray'> False 5 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3070398.89506827] <class 'numpy.ndarray'> False 6 [4049602.57901746 3070460.29658433] <class 'numpy.ndarray'> False PATH CHECK: 0 [4046328.57619445 3071034.29744706] <class 'numpy.ndarray'> False 1 [4043888.55026801 3070313.37330205] <class 'numpy.ndarray'> False 2 [4042432.76896147 3068775.18928004] <class 'numpy.ndarray'> False 3 [4043667.79164996 3065103.54621002] <class 'numpy.ndarray'> False 4 [4049122.71464505 3068740.14289086] <class 'numpy.ndarray'> False 5 [4049505.52454816 3070398.89506827] <class 'numpy.ndarray'> False 6 [4046328.57619445 3071034.29744706] <class 'numpy.ndarray'> False PATH CHECK: 0 [4049739.1107716 3071006.45090906] <class 'numpy.ndarray'> False 1 [4050636.63940991 3071394.55619101] <class 'numpy.ndarray'> False 2 [4050881.84289772 3070577.19488475] <class 'numpy.ndarray'> False 3 [4050410.56073879 3070089.07448754] <class 'numpy.ndarray'> False 4 [4049602.57901746 3070460.29658433] <class 'numpy.ndarray'> False 5 [4049739.1107716 3071006.45090906] <class 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PATH CHECK: 0 [4050681.25083333 3071687.50666667] <class 'numpy.ndarray'> False 1 [4050712.18402705 3071563.77884098] <class 'numpy.ndarray'> False 2 [4051716.90390274 3071463.3269478 ] <class 'numpy.ndarray'> False 3 [4052077.19730241 3072296.51444189] <class 'numpy.ndarray'> False 4 [4051186.22740313 3072697.45980627] <class 'numpy.ndarray'> False 5 [4050681.25083333 3071687.50666667] <class 'numpy.ndarray'> False PATH CHECK: 0 [4049231.77378644 3072741.67179168] <class 'numpy.ndarray'> False 1 [4049103.43808814 3072687.63485499] <class 'numpy.ndarray'> False 2 [4048750.64968912 3072271.66085128] <class 'numpy.ndarray'> False 3 [4049739.1107716 3071006.45090906] <class 'numpy.ndarray'> False 4 [4050636.63940991 3071394.55619101] <class 'numpy.ndarray'> False 5 [4050712.18402705 3071563.77884098] <class 'numpy.ndarray'> False 6 [4050681.25083333 3071687.50666667] <class 'numpy.ndarray'> False 7 [4049231.77378644 3072741.67179168] <class 'numpy.ndarray'> False PATH CHECK: 0 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CHECK: 0 [4059161.24252235 3051969.37873883] <class 'numpy.ndarray'> False 1 [4058732.27163375 3051353.91693227] <class 'numpy.ndarray'> False 2 [4058084.54166033 3051451.08290558] <class 'numpy.ndarray'> False 3 [4057661.40589833 3052318.51968041] <class 'numpy.ndarray'> False 4 [4057676.78406627 3052453.07941879] <class 'numpy.ndarray'> False 5 [4058219.45062417 3052602.78157064] <class 'numpy.ndarray'> False 6 [4059113.7669461 3052155.63334653] <class 'numpy.ndarray'> False 7 [4059161.24252235 3051969.37873883] <class 'numpy.ndarray'> False PATH CHECK: 0 [4061085.78882882 3056709.48411412] <class 'numpy.ndarray'> False 1 [4061864.22413793 3056190.52724138] <class 'numpy.ndarray'> False 2 [4061429.68914842 3055430.09100974] <class 'numpy.ndarray'> False 3 [4060899.65611402 3055466.22480724] <class 'numpy.ndarray'> False 4 [4060594.64285709 3056000.00410714] <class 'numpy.ndarray'> False 5 [4060989.22607647 3056690.5168494 ] <class 'numpy.ndarray'> False 6 [4061085.78882882 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3060072.57682622] <class 'numpy.ndarray'> False 1 [4060011.12898146 3059091.66847219] <class 'numpy.ndarray'> False 2 [4059434.28502591 3058226.40253887] <class 'numpy.ndarray'> False 3 [4058801.99035773 3058503.04133597] <class 'numpy.ndarray'> False 4 [4058409.62570293 3059549.37033386] <class 'numpy.ndarray'> False 5 [4058476.80645279 3060013.51136416] <class 'numpy.ndarray'> False 6 [4058703.21847914 3060072.57682622] <class 'numpy.ndarray'> False PATH CHECK: 0 [4059434.28502591 3058226.40253887] <class 'numpy.ndarray'> False 1 [4059528.73014662 3058002.08632591] <class 'numpy.ndarray'> False 2 [4059004.99545344 3057250.64485668] <class 'numpy.ndarray'> False 3 [4058495.01851816 3057274.36449349] <class 'numpy.ndarray'> False 4 [4058135.61841877 3057903.30747942] <class 'numpy.ndarray'> False 5 [4058801.99035773 3058503.04133597] <class 'numpy.ndarray'> False 6 [4059434.28502591 3058226.40253887] <class 'numpy.ndarray'> False PATH CHECK: 0 [4058409.62570293 3059549.37033386] <class 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<class 'numpy.ndarray'> False PATH CHECK: 0 [4060499.02922131 3061279.81134842] <class 'numpy.ndarray'> False 1 [4059590.67242592 3061098.13352998] <class 'numpy.ndarray'> False 2 [4059442.82189683 3061534.29554781] <class 'numpy.ndarray'> False 3 [4060140.25022089 3062754.85788598] <class 'numpy.ndarray'> False 4 [4060769.16295198 3062812.78135823] <class 'numpy.ndarray'> False 5 [4060874.16454231 3062704.44502956] <class 'numpy.ndarray'> False 6 [4060958.25880584 3062341.7682819 ] <class 'numpy.ndarray'> False 7 [4060499.02922131 3061279.81134842] <class 'numpy.ndarray'> False PATH CHECK: 0 [4060960.41668796 3060834.3526666 ] <class 'numpy.ndarray'> False 1 [4060723.36707126 3059909.86864344] <class 'numpy.ndarray'> False 2 [4059426.30482246 3060651.05554203] <class 'numpy.ndarray'> False 3 [4059590.67242592 3061098.13352998] <class 'numpy.ndarray'> False 4 [4060499.02922131 3061279.81134842] <class 'numpy.ndarray'> False 5 [4060960.41668796 3060834.3526666 ] <class 'numpy.ndarray'> False PATH CHECK: 0 [4063890.71995852 3067019.33907583] <class 'numpy.ndarray'> False 1 [4064116.85525445 3067821.11242094] <class 'numpy.ndarray'> False 2 [4065689.03739116 3067458.28131234] <class 'numpy.ndarray'> False 3 [4064475.00131084 3066612.12469689] <class 'numpy.ndarray'> False 4 [4063890.71995852 3067019.33907583] <class 'numpy.ndarray'> False PATH CHECK: 0 [4063134.81222998 3063411.18845758] <class 'numpy.ndarray'> False 1 [4063321.7886854 3063068.38062983] <class 'numpy.ndarray'> False 2 [4062833.82342553 3061939.94876724] <class 'numpy.ndarray'> False 3 [4062075.3959274 3062806.67661781] <class 'numpy.ndarray'> False 4 [4062384.54885574 3063392.43937585] <class 'numpy.ndarray'> False 5 [4063134.81222998 3063411.18845758] <class 'numpy.ndarray'> False PATH CHECK: 0 [4063332.63065813 3063967.52991513] <class 'numpy.ndarray'> False 1 [4063908.32338165 3064111.45571275] <class 'numpy.ndarray'> False 2 [4064419.85606307 3063663.888594 ] <class 'numpy.ndarray'> False 3 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PATH CHECK: 0 [4062846.12389989 3061869.2261645 ] <class 'numpy.ndarray'> False 1 [4062833.82342553 3061939.94876724] <class 'numpy.ndarray'> False 2 [4062075.3959274 3062806.67661781] <class 'numpy.ndarray'> False 3 [4060874.16454231 3062704.44502956] <class 'numpy.ndarray'> False 4 [4060958.25880584 3062341.7682819 ] <class 'numpy.ndarray'> False 5 [4061666.66250007 3061633.3291666 ] <class 'numpy.ndarray'> False 6 [4062846.12389989 3061869.2261645 ] <class 'numpy.ndarray'> False PATH CHECK: 0 [4062907.33515841 3061797.42112056] <class 'numpy.ndarray'> False 1 [4063052.25720533 3061746.27216282] <class 'numpy.ndarray'> False 2 [4063937.6575295 3061953.49928697] <class 'numpy.ndarray'> False 3 [4064246.79648241 3062668.38311558] <class 'numpy.ndarray'> False 4 [4064103.2122008 3062931.62096521] <class 'numpy.ndarray'> False 5 [4063321.7886854 3063068.38062983] <class 'numpy.ndarray'> False 6 [4062833.82342553 3061939.94876724] <class 'numpy.ndarray'> False 7 [4062846.12389989 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<class 'numpy.ndarray'> False 1 [4062183.95210209 3060225.83848559] <class 'numpy.ndarray'> False 2 [4062398.69721917 3059420.53713839] <class 'numpy.ndarray'> False 3 [4061839.96507583 3058841.85825754] <class 'numpy.ndarray'> False 4 [4060821.74432719 3059551.5063203 ] <class 'numpy.ndarray'> False 5 [4060836.40054415 3059643.10718777] <class 'numpy.ndarray'> False PATH CHECK: 0 [4060836.40054415 3059643.10718777] <class 'numpy.ndarray'> False 1 [4060723.36707126 3059909.86864344] <class 'numpy.ndarray'> False 2 [4060960.41668796 3060834.3526666 ] <class 'numpy.ndarray'> False 3 [4061539.53903553 3060997.69913156] <class 'numpy.ndarray'> False 4 [4062234.02471042 3060348.01840595] <class 'numpy.ndarray'> False 5 [4062183.95210209 3060225.83848559] <class 'numpy.ndarray'> False 6 [4060836.40054415 3059643.10718777] <class 'numpy.ndarray'> False PATH CHECK: 0 [4062398.69721917 3059420.53713839] <class 'numpy.ndarray'> False 1 [4063063.14858067 3059154.74330476] <class 'numpy.ndarray'> False 2 [4063519.94420725 3059810.12638326] <class 'numpy.ndarray'> False 3 [4063295.82899996 3060258.34783325] <class 'numpy.ndarray'> False 4 [4062295.83286317 3060383.33735038] <class 'numpy.ndarray'> False 5 [4062234.02471042 3060348.01840595] <class 'numpy.ndarray'> False 6 [4062183.95210209 3060225.83848559] <class 'numpy.ndarray'> False 7 [4062398.69721917 3059420.53713839] <class 'numpy.ndarray'> False PATH CHECK: 0 [4060836.40054415 3059643.10718777] <class 'numpy.ndarray'> False 1 [4060723.36707126 3059909.86864344] <class 'numpy.ndarray'> False 2 [4059426.30482246 3060651.05554203] <class 'numpy.ndarray'> False 3 [4058703.21847914 3060072.57682622] <class 'numpy.ndarray'> False 4 [4060011.12898146 3059091.66847219] <class 'numpy.ndarray'> False 5 [4060517.75155007 3059200.22890032] <class 'numpy.ndarray'> False 6 [4060821.74432719 3059551.5063203 ] <class 'numpy.ndarray'> False 7 [4060836.40054415 3059643.10718777] <class 'numpy.ndarray'> False PATH CHECK: 0 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[4051188.29006148 3083865.62567915] <class 'numpy.ndarray'> False 1 [4051852.34262117 3084646.87960944] <class 'numpy.ndarray'> False 2 [4052651.07811651 3084190.4541101 ] <class 'numpy.ndarray'> False 3 [4052548.94204472 3083509.54696482] <class 'numpy.ndarray'> False 4 [4052151.0669825 3083315.46743857] <class 'numpy.ndarray'> False 5 [4051188.29006148 3083865.62567915] <class 'numpy.ndarray'> False PATH CHECK: 0 [4050920.25686302 3083674.81041635] <class 'numpy.ndarray'> False 1 [4050006.44706079 3082960.89008297] <class 'numpy.ndarray'> False 2 [4050279.45570001 3082329.56443 ] <class 'numpy.ndarray'> False 3 [4050925.33725936 3082264.97627406] <class 'numpy.ndarray'> False 4 [4051199.67274064 3082585.03372594] <class 'numpy.ndarray'> False 5 [4050920.25686302 3083674.81041635] <class 'numpy.ndarray'> False PATH CHECK: 0 [4050963.44487527 3083800.45055451] <class 'numpy.ndarray'> False 1 [4050468.54365685 3084263.74996663] <class 'numpy.ndarray'> False 2 [4050702.64236087 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<class 'numpy.ndarray'> False 5 [4047487.00988475 3084660.64293341] <class 'numpy.ndarray'> False 6 [4047449.70217638 3084864.12941175] <class 'numpy.ndarray'> False PATH CHECK: 0 [4045697.05319299 3084950.04502416] <class 'numpy.ndarray'> False 1 [4045450.63127265 3085787.83618481] <class 'numpy.ndarray'> False 2 [4045012.8885214 3086178.66921693] <class 'numpy.ndarray'> False 3 [4044938.83046438 3086194.40602639] <class 'numpy.ndarray'> False 4 [4044291.56509047 3085870.77796269] <class 'numpy.ndarray'> False 5 [4043914.94095049 3084985.73910282] <class 'numpy.ndarray'> False 6 [4044093.180279 3084684.95048825] <class 'numpy.ndarray'> False 7 [4045162.505 3084294.22144956] <class 'numpy.ndarray'> False 8 [4045671.47701638 3084842.35359231] <class 'numpy.ndarray'> False 9 [4045697.05319299 3084950.04502416] <class 'numpy.ndarray'> False PATH CHECK: 0 [4046687.505 3084103.41519285] <class 'numpy.ndarray'> False 1 [4046687.505 3083631.25597222] <class 'numpy.ndarray'> False 2 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<Axes: >