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simonp0420/trial.ipynb

Last active January 31, 2023 19:30
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Experimenting with LibGEOS.jl
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trial.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `d:\\peter\\Documents\\julia\\libgeos_trial`\n"
]
}
],
"source": [
"import Pkg\n",
"Pkg.activate(pwd())\n",
"#Pkg.instantiate()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"using LibGEOS, GeoInterface, Plots"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"POLYGON ((2 1, 3 1, 3 0, 2 0, 2 1))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p1 = readgeom(\"POLYGON((0 0,1 0,1 1,0 0))\")\n",
"p2 = readgeom(\"POLYGON((0 0,1 0,1 1,0 1,0 0))\")\n",
"p3 = readgeom(\"POLYGON((2 0,3 0,3 1,2 1,2 0))\")\n",
"\n",
"p4 = LibGEOS.difference(p3,p2)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"makeregpoly (generic function with 3 methods)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"function makeregpoly(radius, sides, center = [0.,0.], orient = 0.0)\n",
" io = IOBuffer()\n",
" write(io, \"POLYGON((\")\n",
" for i in 0:sides\n",
" s, c = sincosd(orient + i * 360/sides)\n",
" print(io, center[1] + radius*c, \" \", center[2] + radius*s)\n",
" i < sides && write(io, \",\")\n",
" end\n",
" write(io, \"))\")\n",
" s = String(take!(io))\n",
" poly = readgeom(s)\n",
" return poly\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"makewedge"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"\n",
" makewedge(centerangle, wedgeangle, radius; sides=20)\n",
" Make a pie-shaped wedge centered on angle `centerangle` of specified wedge angle.\n",
" Angles are in degrees.\n",
"\"\"\"\n",
"function makewedge(centerangle, wedgeangle, radius; sides=20)\n",
" io = IOBuffer()\n",
" write(io, \"POLYGON((0.0 0.0,\")\n",
" for θ in range(start=centerangle-wedgeangle/2, stop=centerangle+wedgeangle/2, length=sides)\n",
" s, c = sincosd(θ)\n",
" print(io, radius*c, \" \", radius*s, \",\")\n",
" end\n",
" write(io, \"0.0 0.0))\")\n",
" s = String(take!(io))\n",
" poly = readgeom(s)\n",
" return poly\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"makering (generic function with 3 methods)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"function makering(a, b, sides, center=[0.0,0.0], orient=0.0)\n",
" return difference(makeregpoly(b,sides,center,orient), makeregpoly(a,sides,center,orient))\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"MULTIPOLYGON (((1.6629392246050905 -1.1111404660392044, 1.4142135623730951 -1.4142135623730951, 1.1111404660392044 -1.6629392246050905, 0.7653668647301796 -1.8477590650225735, 0.3901806440322566 -1.9615705608064609, 0 -2, -0.3901806440322566 -1.9615705608064609, -0.7653668647301796 -1.8477590650225735, -1.1111404660392044 -1.6629392246050905, -1.1449652954581995 -1.635179904497524, -0.5724826477290997 -0.817589952248762, -0.5555702330196022 -0.8314696123025452, -0.3826834323650898 -0.9238795325112867, -0.1950903220161283 -0.9807852804032304, 0 -1, 0.1950903220161283 -0.9807852804032304, 0.3826834323650898 -0.9238795325112867, 0.5555702330196022 -0.8314696123025452, 0.7071067811865476 -0.7071067811865476, 0.8314696123025452 -0.5555702330196022, 0.9238795325112867 -0.3826834323650898, 0.9807852804032304 -0.1950903220161283, 1 0, 0.9807852804032304 0.1950903220161283, 0.9238795325112867 0.3826834323650898, 0.8314696123025452 0.5555702330196022, 0.817589952248762 0.5724826477290997, 1.635179904497524 1.1449652954581995, 1.6629392246050905 1.1111404660392044, 1.8477590650225735 0.7653668647301796, 1.9615705608064609 0.3901806440322566, 2 0, 1.9615705608064609 -0.3901806440322566, 1.8477590650225735 -0.7653668647301796, 1.6629392246050905 -1.1111404660392044)), ((-1.6629392246050905 -1.1111404660392044, -1.8477590650225735 -0.7653668647301796, -1.9615705608064609 -0.3901806440322566, -2 0, -1.9615705608064609 0.3901806440322566, -1.8477590650225735 0.7653668647301796, -1.6629392246050905 1.1111404660392044, -1.4142135623730951 1.4142135623730951, -1.1111404660392044 1.6629392246050905, -0.7653668647301796 1.8477590650225735, -0.3901806440322566 1.9615705608064609, 0 2, 0.3901806440322566 1.9615705608064609, 0.7653668647301796 1.8477590650225735, 1.1111404660392044 1.6629392246050905, 1.1449652954581995 1.635179904497524, 0.5724826477290997 0.817589952248762, 0.5555702330196022 0.8314696123025452, 0.3826834323650898 0.9238795325112867, 0.1950903220161283 0.9807852804032304, 0 1, -0.1950903220161283 0.9807852804032304, -0.3826834323650898 0.9238795325112867, -0.5555702330196022 0.8314696123025452, -0.7071067811865476 0.7071067811865476, -0.8314696123025452 0.5555702330196022, -0.9238795325112867 0.3826834323650898, -0.9807852804032304 0.1950903220161283, -1 0, -0.9807852804032304 -0.1950903220161283, -0.9238795325112867 -0.3826834323650898, -0.8314696123025452 -0.5555702330196022, -0.817589952248762 -0.5724826477290997, -1.635179904497524 -1.1449652954581995, -1.6629392246050905 -1.1111404660392044)))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hex1 = makeregpoly(2, 4)\n",
"hexdiff = makering(1.0, 2.0, 32)\n",
"rect1 = readgeom(\"POLYGON((0.0 -0.1,3.0 -0.1,3.0 0.1,0.0 0.1,0.0 -0.1))\")\n",
"cut = difference(hexdiff, rect1)\n",
"wedge = makewedge(45, 20, 10)\n",
"wedge2 = makewedge(45+180, 20, 10)\n",
"cut2 = difference(difference(hexdiff, wedge), wedge2)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"typeof(hex1) = Polygon\n",
"GeoInterface.nhole(hex1) = 0\n",
"GeoInterface.ngeom(hex1) = 1\n",
"LibGEOS.getgeom(hex1, 1) = LINEARRING (2 0, 0 2, -2 0, 0 -2, 2 0)\n",
"GeoInterface.coordinates(hex1) = [[[2.0, 0.0], [0.0, 2.0], [-2.0, 0.0], [0.0, -2.0], [2.0, 0.0]]]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"GeoInterface.coordinates(LibGEOS.getgeom(hex1, 1)) = [[2.0, 0.0], [0.0, 2.0], [-2.0, 0.0], [0.0, -2.0], [2.0, 0.0]]\n"
]
}
],
"source": [
"@show typeof(hex1)\n",
"@show GeoInterface.nhole(hex1)\n",
"@show GeoInterface.ngeom(hex1)\n",
"@show LibGEOS.getgeom(hex1,1)\n",
"@show GeoInterface.coordinates(hex1)\n",
"@show GeoInterface.coordinates(LibGEOS.getgeom(hex1,1))\n",
"nothing"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"typeof(hexdiff) = Polygon\n",
"GeoInterface.nhole(hexdiff) = 1\n",
"GeoInterface.ngeom(hexdiff) = 2\n",
"LibGEOS.getgeom(hexdiff, 1) = LINEARRING (1.9615705608064609 -0.3901806440322566, 1.8477590650225735 -0.7653668647301796, 1.6629392246050905 -1.1111404660392044, 1.4142135623730951 -1.4142135623730951, 1.1111404660392044 -1.6629392246050905, 0.7653668647301796 -1.8477590650225735, 0.3901806440322566 -1.9615705608064609, 0 -2, -0.3901806440322566 -1.9615705608064609, -0.7653668647301796 -1.8477590650225735, -1.1111404660392044 -1.6629392246050905, -1.4142135623730951 -1.4142135623730951, -1.6629392246050905 -1.1111404660392044, -1.8477590650225735 -0.7653668647301796, -1.9615705608064609 -0.3901806440322566, -2 0, -1.9615705608064609 0.3901806440322566, -1.8477590650225735 0.7653668647301796, -1.6629392246050905 1.1111404660392044, -1.4142135623730951 1.4142135623730951, -1.1111404660392044 1.6629392246050905, -0.7653668647301796 1.8477590650225735, -0.3901806440322566 1.9615705608064609, 0 2, 0.3901806440322566 1.9615705608064609, 0.7653668647301796 1.8477590650225735, 1.1111404660392044 1.6629392246050905, 1.4142135623730951 1.4142135623730951, 1.6629392246050905 1.1111404660392044, 1.8477590650225735 0.7653668647301796, 1.9615705608064609 0.3901806440322566, 2 0, 1.9615705608064609 -0.3901806440322566)\n",
"LibGEOS.getgeom(hexdiff, 2) = LINEARRING (0.9807852804032304 0.1950903220161283, 0.9238795325112867 0.3826834323650898, 0.8314696123025452 0.5555702330196022, 0.7071067811865476 0.7071067811865476, 0.5555702330196022 0.8314696123025452, 0.3826834323650898 0.9238795325112867, 0.1950903220161283 0.9807852804032304, 0 1, -0.1950903220161283 0.9807852804032304, -0.3826834323650898 0.9238795325112867, -0.5555702330196022 0.8314696123025452, -0.7071067811865476 0.7071067811865476, -0.8314696123025452 0.5555702330196022, -0.9238795325112867 0.3826834323650898, -0.9807852804032304 0.1950903220161283, -1 0, -0.9807852804032304 -0.1950903220161283, -0.9238795325112867 -0.3826834323650898, -0.8314696123025452 -0.5555702330196022, -0.7071067811865476 -0.7071067811865476, -0.5555702330196022 -0.8314696123025452, -0.3826834323650898 -0.9238795325112867, -0.1950903220161283 -0.9807852804032304, 0 -1, 0.1950903220161283 -0.9807852804032304, 0.3826834323650898 -0.9238795325112867, 0.5555702330196022 -0.8314696123025452, 0.7071067811865476 -0.7071067811865476, 0.8314696123025452 -0.5555702330196022, 0.9238795325112867 -0.3826834323650898, 0.9807852804032304 -0.1950903220161283, 1 0, 0.9807852804032304 0.1950903220161283)\n",
"GeoInterface.coordinates(hexdiff) = [[[1.9615705608064609, -0.39018064403225655], [1.8477590650225735, -0.7653668647301796], [1.6629392246050905, -1.1111404660392044], [1.4142135623730951, -1.4142135623730951], [1.1111404660392044, -1.6629392246050905], [0.7653668647301796, -1.8477590650225735], [0.39018064403225655, -1.9615705608064609], [0.0, -2.0], [-0.39018064403225655, -1.9615705608064609], [-0.7653668647301796, -1.8477590650225735], [-1.1111404660392044, -1.6629392246050905], [-1.4142135623730951, -1.4142135623730951], [-1.6629392246050905, -1.1111404660392044], [-1.8477590650225735, -0.7653668647301796], [-1.9615705608064609, -0.39018064403225655], [-2.0, 0.0], [-1.9615705608064609, 0.39018064403225655], [-1.8477590650225735, 0.7653668647301796], [-1.6629392246050905, 1.1111404660392044], [-1.4142135623730951, 1.4142135623730951], [-1.1111404660392044, 1.6629392246050905], [-0.7653668647301796, 1.8477590650225735], [-0.39018064403225655, 1.9615705608064609], [0.0, 2.0], [0.39018064403225655, 1.9615705608064609], [0.7653668647301796, 1.8477590650225735], [1.1111404660392044, 1.6629392246050905], [1.4142135623730951, 1.4142135623730951], [1.6629392246050905, 1.1111404660392044], [1.8477590650225735, 0.7653668647301796], [1.9615705608064609, 0.39018064403225655], [2.0, 0.0], [1.9615705608064609, -0.39018064403225655]], [[0.9807852804032304, 0.19509032201612828], [0.9238795325112867, 0.3826834323650898], [0.8314696123025452, 0.5555702330196022], [0.7071067811865476, 0.7071067811865476], [0.5555702330196022, 0.8314696123025452], [0.3826834323650898, 0.9238795325112867], [0.19509032201612828, 0.9807852804032304], [0.0, 1.0], [-0.19509032201612828, 0.9807852804032304], [-0.3826834323650898, 0.9238795325112867], [-0.5555702330196022, 0.8314696123025452], [-0.7071067811865476, 0.7071067811865476], [-0.8314696123025452, 0.5555702330196022], [-0.9238795325112867, 0.3826834323650898], [-0.9807852804032304, 0.19509032201612828], [-1.0, 0.0], [-0.9807852804032304, -0.19509032201612828], [-0.9238795325112867, -0.3826834323650898], [-0.8314696123025452, -0.5555702330196022], [-0.7071067811865476, -0.7071067811865476], [-0.5555702330196022, -0.8314696123025452], [-0.3826834323650898, -0.9238795325112867], [-0.19509032201612828, -0.9807852804032304], [0.0, -1.0], [0.19509032201612828, -0.9807852804032304], [0.3826834323650898, -0.9238795325112867], [0.5555702330196022, -0.8314696123025452], [0.7071067811865476, -0.7071067811865476], [0.8314696123025452, -0.5555702330196022], [0.9238795325112867, -0.3826834323650898], [0.9807852804032304, -0.19509032201612828], [1.0, 0.0], [0.9807852804032304, 0.19509032201612828]]]\n",
"GeoInterface.coordinates(LibGEOS.getgeom(hexdiff, 1)) = [[1.9615705608064609, -0.39018064403225655], [1.8477590650225735, -0.7653668647301796], [1.6629392246050905, -1.1111404660392044], [1.4142135623730951, -1.4142135623730951], [1.1111404660392044, -1.6629392246050905], [0.7653668647301796, -1.8477590650225735], [0.39018064403225655, -1.9615705608064609], [0.0, -2.0], [-0.39018064403225655, -1.9615705608064609], [-0.7653668647301796, -1.8477590650225735], [-1.1111404660392044, -1.6629392246050905], [-1.4142135623730951, -1.4142135623730951], [-1.6629392246050905, -1.1111404660392044], [-1.8477590650225735, -0.7653668647301796], [-1.9615705608064609, -0.39018064403225655], [-2.0, 0.0], [-1.9615705608064609, 0.39018064403225655], [-1.8477590650225735, 0.7653668647301796], [-1.6629392246050905, 1.1111404660392044], [-1.4142135623730951, 1.4142135623730951], [-1.1111404660392044, 1.6629392246050905], [-0.7653668647301796, 1.8477590650225735], [-0.39018064403225655, 1.9615705608064609], [0.0, 2.0], [0.39018064403225655, 1.9615705608064609], [0.7653668647301796, 1.8477590650225735], [1.1111404660392044, 1.6629392246050905], [1.4142135623730951, 1.4142135623730951], [1.6629392246050905, 1.1111404660392044], [1.8477590650225735, 0.7653668647301796], [1.9615705608064609, 0.39018064403225655], [2.0, 0.0], [1.9615705608064609, -0.39018064403225655]]\n",
"GeoInterface.coordinates(GeoInterface.gethole(hexdiff, 1)) = [[0.9807852804032304, 0.19509032201612828], [0.9238795325112867, 0.3826834323650898], [0.8314696123025452, 0.5555702330196022], [0.7071067811865476, 0.7071067811865476], [0.5555702330196022, 0.8314696123025452], [0.3826834323650898, 0.9238795325112867], [0.19509032201612828, 0.9807852804032304], [0.0, 1.0], [-0.19509032201612828, 0.9807852804032304], [-0.3826834323650898, 0.9238795325112867], [-0.5555702330196022, 0.8314696123025452], [-0.7071067811865476, 0.7071067811865476], [-0.8314696123025452, 0.5555702330196022], [-0.9238795325112867, 0.3826834323650898], [-0.9807852804032304, 0.19509032201612828], [-1.0, 0.0], [-0.9807852804032304, -0.19509032201612828], [-0.9238795325112867, -0.3826834323650898], [-0.8314696123025452, -0.5555702330196022], [-0.7071067811865476, -0.7071067811865476], [-0.5555702330196022, -0.8314696123025452], [-0.3826834323650898, -0.9238795325112867], [-0.19509032201612828, -0.9807852804032304], [0.0, -1.0], [0.19509032201612828, -0.9807852804032304], [0.3826834323650898, -0.9238795325112867], [0.5555702330196022, -0.8314696123025452], [0.7071067811865476, -0.7071067811865476], [0.8314696123025452, -0.5555702330196022], [0.9238795325112867, -0.3826834323650898], [0.9807852804032304, -0.19509032201612828], [1.0, 0.0], [0.9807852804032304, 0.19509032201612828]]\n"
]
}
],
"source": [
"@show typeof(hexdiff)\n",
"@show GeoInterface.nhole(hexdiff)\n",
"@show GeoInterface.ngeom(hexdiff)\n",
"@show LibGEOS.getgeom(hexdiff,1)\n",
"@show LibGEOS.getgeom(hexdiff,2)\n",
"@show GeoInterface.coordinates(hexdiff)\n",
"@show GeoInterface.coordinates(LibGEOS.getgeom(hexdiff,1))\n",
"@show GeoInterface.coordinates(GeoInterface.gethole(hexdiff,1))\n",
"nothing"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GeoInterface.typeof(cut) = Polygon\n",
"GeoInterface.nhole(cut) = 0\n",
"GeoInterface.ngeom(cut) = 1\n",
"LibGEOS.getgeom(cut) = Base.Generator{UnitRange{Int64}, GeoInterface.var\"#20#21\"{PolygonTrait, Polygon}}(GeoInterface.var\"#20#21\"{PolygonTrait, Polygon}(PolygonTrait(), POLYGON ((1.8477590650225735 -0.7653668647301796, 1.6629392246050905 -1.1111404660392044, 1.4142135623730951 -1.4142135623730951, 1.1111404660392044 -1.6629392246050905, 0.7653668647301796 -1.8477590650225735, 0.3901806440322566 -1.9615705608064609, 0 -2, -0.3901806440322566 -1.9615705608064609, -0.7653668647301796 -1.8477590650225735, -1.1111404660392044 -1.6629392246050905, -1.4142135623730951 -1.4142135623730951, -1.6629392246050905 -1.1111404660392044, -1.8477590650225735 -0.7653668647301796, -1.9615705608064609 -0.3901806440322566, -2 0, -1.9615705608064609 0.3901806440322566, -1.8477590650225735 0.7653668647301796, -1.6629392246050905 1.1111404660392044, -1.4142135623730951 1.4142135623730951, -1.1111404660392044 1.6629392246050905, -0.7653668647301796 1.8477590650225735, -0.3901806440322566 1.9615705608064609, 0 2, 0.3901806440322566 1.9615705608064609, 0.7653668647301796 1.8477590650225735, 1.1111404660392044 1.6629392246050905, 1.4142135623730951 1.4142135623730951, 1.6629392246050905 1.1111404660392044, 1.8477590650225735 0.7653668647301796, 1.9615705608064609 0.3901806440322566, 1.9901508596642836 0.1, 0.9901508596642835 0.1, 0.9807852804032304 0.1950903220161283, 0.9238795325112867 0.3826834323650898, 0.8314696123025452 0.5555702330196022, 0.7071067811865476 0.7071067811865476, 0.5555702330196022 0.8314696123025452, 0.3826834323650898 0.9238795325112867, 0.1950903220161283 0.9807852804032304, 0 1, -0.1950903220161283 0.9807852804032304, -0.3826834323650898 0.9238795325112867, -0.5555702330196022 0.8314696123025452, -0.7071067811865476 0.7071067811865476, -0.8314696123025452 0.5555702330196022, -0.9238795325112867 0.3826834323650898, -0.9807852804032304 0.1950903220161283, -1 0, -0.9807852804032304 -0.1950903220161283, -0.9238795325112867 -0.3826834323650898, -0.8314696123025452 -0.5555702330196022, -0.7071067811865476 -0.7071067811865476, -0.5555702330196022 -0.8314696123025452, -0.3826834323650898 -0.9238795325112867, -0.1950903220161283 -0.9807852804032304, 0 -1, 0.1950903220161283 -0.9807852804032304, 0.3826834323650898 -0.9238795325112867, 0.5555702330196022 -0.8314696123025452, 0.7071067811865476 -0.7071067811865476, 0.8314696123025452 -0.5555702330196022, 0.9238795325112867 -0.3826834323650898, 0.9807852804032304 -0.1950903220161283, 0.9901508596642835 -0.1, 1.9901508596642836 -0.1, 1.9615705608064609 -0.3901806440322566, 1.8477590650225735 -0.7653668647301796))), 1:1)\n",
"GeoInterface.coordinates(cut) = [[[1.8477590650225735, -0.7653668647301796], [1.6629392246050905, -1.1111404660392044], [1.4142135623730951, -1.4142135623730951], [1.1111404660392044, -1.6629392246050905], [0.7653668647301796, -1.8477590650225735], [0.39018064403225655, -1.9615705608064609], [0.0, -2.0], [-0.39018064403225655, -1.9615705608064609], [-0.7653668647301796, -1.8477590650225735], [-1.1111404660392044, -1.6629392246050905], [-1.4142135623730951, -1.4142135623730951], [-1.6629392246050905, -1.1111404660392044], [-1.8477590650225735, -0.7653668647301796], [-1.9615705608064609, -0.39018064403225655], [-2.0, 0.0], [-1.9615705608064609, 0.39018064403225655], [-1.8477590650225735, 0.7653668647301796], [-1.6629392246050905, 1.1111404660392044], [-1.4142135623730951, 1.4142135623730951], [-1.1111404660392044, 1.6629392246050905], [-0.7653668647301796, 1.8477590650225735], [-0.39018064403225655, 1.9615705608064609], [0.0, 2.0], [0.39018064403225655, 1.9615705608064609], [0.7653668647301796, 1.8477590650225735], [1.1111404660392044, 1.6629392246050905], [1.4142135623730951, 1.4142135623730951], [1.6629392246050905, 1.1111404660392044], [1.8477590650225735, 0.7653668647301796], [1.9615705608064609, 0.39018064403225655], [1.9901508596642836, 0.1], [0.9901508596642835, 0.1], [0.9807852804032304, 0.19509032201612828], [0.9238795325112867, 0.3826834323650898], [0.8314696123025452, 0.5555702330196022], [0.7071067811865476, 0.7071067811865476], [0.5555702330196022, 0.8314696123025452], [0.3826834323650898, 0.9238795325112867], [0.19509032201612828, 0.9807852804032304], [0.0, 1.0], [-0.19509032201612828, 0.9807852804032304], [-0.3826834323650898, 0.9238795325112867], [-0.5555702330196022, 0.8314696123025452], [-0.7071067811865476, 0.7071067811865476], [-0.8314696123025452, 0.5555702330196022], [-0.9238795325112867, 0.3826834323650898], [-0.9807852804032304, 0.19509032201612828], [-1.0, 0.0], [-0.9807852804032304, -0.19509032201612828], [-0.9238795325112867, -0.3826834323650898], [-0.8314696123025452, -0.5555702330196022], [-0.7071067811865476, -0.7071067811865476], [-0.5555702330196022, -0.8314696123025452], [-0.3826834323650898, -0.9238795325112867], [-0.19509032201612828, -0.9807852804032304], [0.0, -1.0], [0.19509032201612828, -0.9807852804032304], [0.3826834323650898, -0.9238795325112867], [0.5555702330196022, -0.8314696123025452], [0.7071067811865476, -0.7071067811865476], [0.8314696123025452, -0.5555702330196022], [0.9238795325112867, -0.3826834323650898], [0.9807852804032304, -0.19509032201612828], [0.9901508596642835, -0.1], [1.9901508596642836, -0.1], [1.9615705608064609, -0.39018064403225655], [1.8477590650225735, -0.7653668647301796]]]\n"
]
}
],
"source": [
"@show GeoInterface.typeof(cut)\n",
"@show GeoInterface.nhole(cut)\n",
"@show GeoInterface.ngeom(cut)\n",
"@show LibGEOS.getgeom(cut)\n",
"@show GeoInterface.coordinates(cut)\n",
"nothing"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"typeof(cut2) = MultiPolygon\n",
"k = 1\n",
"typeof(geom) = Polygon\n",
"GeoInterface.nhole(geom) = 0\n",
"GeoInterface.coordinates(geom) = [[[1.6629392246050905, -1.1111404660392044], [1.4142135623730951, -1.4142135623730951], [1.1111404660392044, -1.6629392246050905], [0.7653668647301796, -1.8477590650225735], [0.39018064403225655, -1.9615705608064609], [0.0, -2.0], [-0.39018064403225655, -1.9615705608064609], [-0.7653668647301796, -1.8477590650225735], [-1.1111404660392044, -1.6629392246050905], [-1.1449652954581995, -1.635179904497524], [-0.5724826477290997, -0.817589952248762], [-0.5555702330196022, -0.8314696123025452], [-0.3826834323650898, -0.9238795325112867], [-0.19509032201612828, -0.9807852804032304], [0.0, -1.0], [0.19509032201612828, -0.9807852804032304], [0.3826834323650898, -0.9238795325112867], [0.5555702330196022, -0.8314696123025452], [0.7071067811865476, -0.7071067811865476], [0.8314696123025452, -0.5555702330196022], [0.9238795325112867, -0.3826834323650898], [0.9807852804032304, -0.19509032201612828], [1.0, 0.0], [0.9807852804032304, 0.19509032201612828], [0.9238795325112867, 0.3826834323650898], [0.8314696123025452, 0.5555702330196022], [0.817589952248762, 0.5724826477290997], [1.635179904497524, 1.1449652954581995], [1.6629392246050905, 1.1111404660392044], [1.8477590650225735, 0.7653668647301796], [1.9615705608064609, 0.39018064403225655], [2.0, 0.0], [1.9615705608064609, -0.39018064403225655], [1.8477590650225735, -0.7653668647301796], [1.6629392246050905, -1.1111404660392044]]]\n",
"\n",
"k = 2\n",
"typeof(geom) = Polygon\n",
"GeoInterface.nhole(geom) = 0\n",
"GeoInterface.coordinates(geom) = [[[-1.6629392246050905, -1.1111404660392044], [-1.8477590650225735, -0.7653668647301796], [-1.9615705608064609, -0.39018064403225655], [-2.0, 0.0], [-1.9615705608064609, 0.39018064403225655], [-1.8477590650225735, 0.7653668647301796], [-1.6629392246050905, 1.1111404660392044], [-1.4142135623730951, 1.4142135623730951], [-1.1111404660392044, 1.6629392246050905], [-0.7653668647301796, 1.8477590650225735], [-0.39018064403225655, 1.9615705608064609], [0.0, 2.0], [0.39018064403225655, 1.9615705608064609], [0.7653668647301796, 1.8477590650225735], [1.1111404660392044, 1.6629392246050905], [1.1449652954581995, 1.635179904497524], [0.5724826477290997, 0.817589952248762], [0.5555702330196022, 0.8314696123025452], [0.3826834323650898, 0.9238795325112867], [0.19509032201612828, 0.9807852804032304], [0.0, 1.0], [-0.19509032201612828, 0.9807852804032304], [-0.3826834323650898, 0.9238795325112867], [-0.5555702330196022, 0.8314696123025452], [-0.7071067811865476, 0.7071067811865476], [-0.8314696123025452, 0.5555702330196022], [-0.9238795325112867, 0.3826834323650898], [-0.9807852804032304, 0.19509032201612828], [-1.0, 0.0], [-0.9807852804032304, -0.19509032201612828], [-0.9238795325112867, -0.3826834323650898], [-0.8314696123025452, -0.5555702330196022], [-0.817589952248762, -0.5724826477290997], [-1.635179904497524, -1.1449652954581995], [-1.6629392246050905, -1.1111404660392044]]]\n",
"\n"
]
}
],
"source": [
"@show typeof(cut2)\n",
"for k in 1:GeoInterface.ngeom(cut2)\n",
" println(\"k = $k\")\n",
" geom = LibGEOS.getgeom(cut2,k)\n",
" @show typeof(geom)\n",
" @show GeoInterface.nhole(geom)\n",
" @show GeoInterface.coordinates(geom)\n",
" println(\"\")\n",
"end\n",
"\n",
"nothing"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"67-element Vector{Vector{Float64}}:\n",
" [1.8477590650225735, -0.7653668647301796]\n",
" [1.6629392246050905, -1.1111404660392044]\n",
" [1.4142135623730951, -1.4142135623730951]\n",
" [1.1111404660392044, -1.6629392246050905]\n",
" [0.7653668647301796, -1.8477590650225735]\n",
" [0.39018064403225655, -1.9615705608064609]\n",
" [0.0, -2.0]\n",
" [-0.39018064403225655, -1.9615705608064609]\n",
" [-0.7653668647301796, -1.8477590650225735]\n",
" [-1.1111404660392044, -1.6629392246050905]\n",
" ⋮\n",
" [0.5555702330196022, -0.8314696123025452]\n",
" [0.7071067811865476, -0.7071067811865476]\n",
" [0.8314696123025452, -0.5555702330196022]\n",
" [0.9238795325112867, -0.3826834323650898]\n",
" [0.9807852804032304, -0.19509032201612828]\n",
" [0.9901508596642835, -0.1]\n",
" [1.9901508596642836, -0.1]\n",
" [1.9615705608064609, -0.39018064403225655]\n",
" [1.8477590650225735, -0.7653668647301796]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"GeoInterface.coordinates(GeoInterface.getexterior(cut))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"33-element Vector{Vector{Float64}}:\n",
" [0.9807852804032304, 0.19509032201612828]\n",
" [0.9238795325112867, 0.3826834323650898]\n",
" [0.8314696123025452, 0.5555702330196022]\n",
" [0.7071067811865476, 0.7071067811865476]\n",
" [0.5555702330196022, 0.8314696123025452]\n",
" [0.3826834323650898, 0.9238795325112867]\n",
" [0.19509032201612828, 0.9807852804032304]\n",
" [0.0, 1.0]\n",
" [-0.19509032201612828, 0.9807852804032304]\n",
" [-0.3826834323650898, 0.9238795325112867]\n",
" ⋮\n",
" [0.19509032201612828, -0.9807852804032304]\n",
" [0.3826834323650898, -0.9238795325112867]\n",
" [0.5555702330196022, -0.8314696123025452]\n",
" [0.7071067811865476, -0.7071067811865476]\n",
" [0.8314696123025452, -0.5555702330196022]\n",
" [0.9238795325112867, -0.3826834323650898]\n",
" [0.9807852804032304, -0.19509032201612828]\n",
" [1.0, 0.0]\n",
" [0.9807852804032304, 0.19509032201612828]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"GeoInterface.coordinates(GeoInterface.gethole(hexdiff,1))\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"polyxy (generic function with 2 methods)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"function polyxy(p::Polygon)\n",
" coords = GeoInterface.coordinates(GeoInterface.getexterior(p))\n",
" return first.(coords), last.(coords)\n",
"end\n",
"\n",
"function polyxy(p::LinearRing)\n",
" coords = GeoInterface.coordinates(p)\n",
" return first.(coords), last.(coords)\n",
"end\n"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x,y = polyxy(cut)\n",
"plot(x,y,ratio=:equal)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2-element Vector{Polygon}:\n",
" POLYGON ((1.6629392246050905 -1.1111404660392044, 1.4142135623730951 -1.4142135623730951, 1.1111404660392044 -1.6629392246050905, 0.7653668647301796 -1.8477590650225735, 0.3901806440322566 -1.9615705608064609, 0 -2, -0.3901806440322566 -1.9615705608064609, -0.7653668647301796 -1.8477590650225735, -1.1111404660392044 -1.6629392246050905, -1.1449652954581995 -1.635179904497524, -0.5724826477290997 -0.817589952248762, -0.5555702330196022 -0.8314696123025452, -0.3826834323650898 -0.9238795325112867, -0.1950903220161283 -0.9807852804032304, 0 -1, 0.1950903220161283 -0.9807852804032304, 0.3826834323650898 -0.9238795325112867, 0.5555702330196022 -0.8314696123025452, 0.7071067811865476 -0.7071067811865476, 0.8314696123025452 -0.5555702330196022, 0.9238795325112867 -0.3826834323650898, 0.9807852804032304 -0.1950903220161283, 1 0, 0.9807852804032304 0.1950903220161283, 0.9238795325112867 0.3826834323650898, 0.8314696123025452 0.5555702330196022, 0.817589952248762 0.5724826477290997, 1.635179904497524 1.1449652954581995, 1.6629392246050905 1.1111404660392044, 1.8477590650225735 0.7653668647301796, 1.9615705608064609 0.3901806440322566, 2 0, 1.9615705608064609 -0.3901806440322566, 1.8477590650225735 -0.7653668647301796, 1.6629392246050905 -1.1111404660392044))\n",
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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"GeoInterface.coordinates(cut2)\n",
"getGeometries(cut2)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
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oo0nXAiKBCIKQZdm9e/emp6eTLiQAMMaSWp7QV3Ku8tt3VO17GIY+DEfuIFCq//eVokkarMQEAkUEO+Xu3btv3bpVEASv10vTtNiDJCYmhnQJIeI+stu8cHbU8H+pO/clXQuIHK7CPM/Jg/GTvyBdCIgcIggViqL8Kxx5PB6apqGHpwj458tvy4197P/kKc1JVwMih2C3VC/+NHr8VFifBASQCIIQiAv2eat++ZirKDFN+oTRw3x5EEjmn2ZrMgdCExkQWNCjFgQSb6m88snLCOO4p2dACoLAcuxYzVsqdQPGki4ERBoYEYKA8Z49UvnDezBfHgTD1SYyz82CJjIg4OAtBQLDWbCpetnc6PtfVKZmkK4FRJxrTWRM9UiXAiIQBCGoM0GwrP7BdWhH3LMfyOJTSFcDIpBnyxJoIgOCB4IQ1IngtFX+MI2iadOkObQKFl8Egee9cMK7d2P8K1/AVFQQJBCEoPYEu6V8ziRVmyzD0ImIhhuvQOBhj8v8/6Yrcx6Fe69A8EAQglrCPFf5/bvqDj312Q+RrgVErOrlcxVN27CtupAuBEQyOIoHtVS99Atao9cPHk+6EBCxXId3eU4ciLr7CdKFgAgHQQhqw75tpfdMofGBl+GyDQgSfxMZ49hJ0EQGBBucGgV3zHOm0Lb+p7jnZtNKNelaQITC2PzTbE3WIGgiA0IARoTgznDmMvMP06LHTWVjYWVBECz2nasFqxmayIDQgCAEdwB7XJXfvKUf+ICiWTvStYCIxVWUWNfMjx43BZrIgNCAIAQ1hrF53gxFkzRNN5jXDIJG4M3zZhgGj4MmMiBkIAhBTVlW/yA4bQa4hQ8Ek3XdAlql0XTNJl0IkBAIQlAjroPbXPu3xkx8E85WgeDxFp9w7FprHAt3I4OQgiAEt+e7eLpq8ecxj75Naw2kawERC3vd5nkzokY+CU1kQIhBEILb4K1VFd+9Y7z3aVliQ9K1gEhW/b8vFU3aqNr1IF0IkBwIQnArmOfMP7ynyRqsag+7JxBErsO7PCcPRd39OOlCgBRBEIJbqV78Ga016PvfR7oQEMkEe3X1ks+ix02GJjKACAhCcFO2zUu9F05GP/gK3LkAgghj808faTIHyRu2Il0KkCi4AxDcmPtYgX3L/0wvfkzJlaRrAZHsjyYy95MuBEgXjAjBDXDlF83zZ0aPn8pExZGuBUQyruIyNJEBxEEQgusJbmfl9/9nGPIQ9DsGwSXw5nkfQBMZQBwEIfg7jM0/Tle0TNdkDSZdCohw1rXzoYkMCAcQhOBvLCu+QTwXNewR0oWACOc9d9SRB01kQFiAIAR/cu7Z6Dq8K3r8VEQzpGsBkQx73eYFs6JGPgVNZEA4gAvU4CrvuaPVK+bGPfMBrdGTrgVEuOqlXyqatoUmMiBMwIgQIIQQbzVX/jAt+v5JsoQGpGsBEc51eJfn1KGoEY+RLgSAqyAIAcI+b+W372h7DlemZpCuBUS4yGsiwwnorQK+60rO6iNdCqgtCELJw7jq549YU7Kuz72kSwGRDmPzwtmarMER00TmhAV3y+X2VuBWUdTYTZyASRcEagWCUOpsG37xlV0wjn6edCEg8tl3rBZsVbpIaV3740mhWy43tgm9aiD7dXfGxaPX9vKkiwK1ATfLSJr3wkn7tpWmlz6l5ArStYAIx5VftK6dZ3p+dgQ0kSlzoUe3caVOtD2HbWGgEEIsjRb1ZdOXcwPr4bsSYUKIyMCIUNIsud/rBz3IGGJIFwIincCbF8wyZD/ExiWTLqWu1l7E6cu5VCO1Y9jVFPSLUaD30+nJu3k4Pyo6EITS5Tl1iK8qV2cMIF0IiHzWNfNptVbs7YpcHHp+F//kDn5Bb2Z6Z0b+j93nmCa0gNGycwKJ6kDtQRBKFcaW3O8NQydEwHkqEOa8Z4848tca739J1E1kdl/B7ZdxVR506B62Z8KNHwiF0LTOzL/3CBxEoahAEEqU68A2JAiqtt1JFwIiHPa6zQs/jBr5tHibyHACmnFQuHs9P70z/eNdjE52q28ekEzV16AfTkISikkARgM+n+/AgQMFBQVOp3PSpEl13yAIOkGwrJ1nHPmUqI/QgSj80URGrIdcZ2143BZezaI9I5gkdY3+Xt7vzNy9gR/bhFbD2RaRCMCIcMuWLWPHjl28ePEbb7xR962BEHDkrWWj4hTNO5AuBEQ41+FdntMibiLz40khYwU3qhG9bjBbwxRECHWOozJN1OdHYFAoGgE4Yunfv//JkycLCgp69uxZ962BYMM+r/W3n2IeeZN0ISDC+ZvIxDz8hhibyJS70L+285cd+PehbMuoOz5xMi2d7p7LPdKCjoZ5SWIA1wglx751maJRa3n9ZqQLARHtzyYyLUmXcsfWXcSdlnOtotCOYbVJQYRQcwM1oiE98xDMrxeHkJ7DPnv2bGFh4cqVK/2farXaOXPmyOXyGv64x+OhaVomu+Wl6sjldDoxxjRdp2MX7LJbNy/VPz7N6XQGqrDQcLlcDCOZxaG8bsFSyduqsa1SsFVjq9ljs3h0BlofTWujaH00pYui9dGUQk260Jty563lrFXq7sMD8k4L2avv4tCbB5nVl+jvsrjuJsy5EVfbTU1phbqsZic28iTX+VVyOp11/MMXL47jfD4fxrWfnCmXy1n2NkkX0iCMjo5OTU3t1auX/1O5XK7Vaqk7uV9DykHIcZxCoajj34Nt/QJVu+7q5EaBqipkvF6vQhE5p5kEp02wVQlWM28x81azYDML1ireUinYq3lLBaJoJiqW1hiYqFhaZ2SMcUJMkhxzgqWSLz3vtVQIdotgqcA8xxhiaJ2R1kcz+mhaZ/R/evWL5JbT4sovujf9EvPMTFYVmKgOzau/pwI99Dtua0QFw6moGh+g30xDBXq0JZ55VP5l17rekubz+SLpzX9HGIahabouD78m+8yQBqHBYMjIyBgzZkztftz/jEhoWPB3DMP4n4Fab4GvrnDuXh8/5SsxPof+h0+6ijrBPq/n1EFXYZ67KB973Yw+mtZHM4YYRmeUxSTQDVsxUbGMzsgYYii58rqftdlsOp3u+g16Pby1krdWCZZK3mrmrWbvqUOC1cxbKnlbFcUwytYZyrRMZfMOoWyhh3nOsvBDQ/ZDioSUQG0z2K8+J6APDwuzC/mPM5n7mwRs7PXv9qj5It+LbZhWtTq/ek0EvPlrDWMsCEKwHz7c3ish1rXzNF2zGX006UKkRXBYPScPuory3EX5bEyiMjUj9olpskCEBCVXsLFJbGzSDf+XM5d5jhU4dq2pmj9TltJclZqhat8jBO30bGsX0Fq9iJrInLXh8Vt5FYP2jWCTNYGcUBQlRy+1Yd4qEBb1lWiMiUUAgrC8vDw7O9vpdLrd7vT09KSkpGtXAUH44MovugrzEl79jnQhUsFVlrgL811F+b7iE/ImaarUDEPOo6GcVM5Gx7NdszVds7HX7Tl5wFW02zrzaUarV7XvqUzNkNdrGoxZpP4mMqaXvxDLFNUfTwov5/MvtWFeaUvTQSj5+TS6+SIurxxnmsTxhEhTAILQaDR+/fXX1z6V7LnsMGdZ9b2u72harSVdSEQTBM+5o+6ifFdhHva5lS3Tdb2GK1p0oliSF7YpuVKZmqlMzTTe+4y/PPP8mf7yVKldAlje1SYyo58XRROZK270r238GRvemM22iQ5WSikZ9EYHeuoefssQOP0WvgLw2shksk6dOtV9OyB4vOePeYtPRo+bSrqQyIS9bldRvrswz32sgI1JVLbJjBk/VZbcmHRd/0DTisapisaphpyJvtJid1GedcNibsEsRYuOqtRMZVomrazTvS1Xm8ikZQaq3uBZdxE/so0f2ZBa1Jf9Z+/swJrYgv6oUFh/CfdPhkFhmIKDFEmw5H6vH/wgJavrjXDgOpjnHDt/ta3/WVavqapNlmH4v8RyCVaWkCJLSNH1HS3YLa4ju12Htlcvn6vrc6+2x7DavU9ch3Z6Th+Of+XzgJcaWC4OTd3DryzGC3szN+udHVgMhd7tRL+Sz++7mw3G2VdQdxCEkc99dA9vNWs69yNdSGTB2HVwu2XVf5no+NjH3pXVa0K6oFqitQZNl/6aLv258ouWX/9f6XsT9QPGajIHIvoO7u8Q7NXVSz8P/yYye67gB7fw7aKp/XezUSE8LBzZiJ51WFh8VhjTWKLTAcMcBGGkw9iy+gdDzsQ72q+BW/Oc2F+98juKYY1jnlc0a0e6nMBgTfViJrzmLT5hyf3etnWZYfB4VbvuNbrnRQxNZII0QaLmpndmHv6dv7shHewzsaAWIAgjnHPfFopmVWlZpAuJEN7i45bc73mr+Q5yQlTkKc3jnp7uT3rbpiWGnIcVzdrf+kfsO1YJtipd//tCU2EtBG+CRM31SqSa6dH3x4UnWkEShh0IwkiGec665kfjmBcib38delzZBcuaH73njukH3H+nZw5FR9G8Q/xLn7oObq/65RMmOj5q2COyek1v+J1c2QXrmnmmFz4K2xWefzwpvJTPvxy0CRI190EGM2QdP64ZrQnTp0q64AWJZI6dv7KmehFz7o4UvrrC+ttC16Gdut73RD/wilTuOaIoVfseyjZZzvzfKr55S96otWHow9dP3hd484JZhiET2LhkQlXeyl8nSLQN2gSJmmsXTfVIoOYUCq+2h0FheIHXI2Jhj8u2/mdD9gTShYiY4LRZcr8vm/kUrdImvPatru9oqaTgHyiG1XTNTnjtO3n9ZuUfv1i16BPear72v5Y182iNLjybyKy7iDss4xpo0d4RYZGCftPS6Y8L+UoP6TrA30EQRizblmWKZu3FezcjWZjnbBt+KZ32KHY746d8ZciZSKuk24uAkit1fUcn/PsbSq4sm/GEde187PN6zxY583+LfuDlcDvx7uLQ87v4J3bwC3szc7KYsLo5pZGOGtWYfv8ALM8UXuDUaGQSHFb778tNk+aQLkSUBIe18r//oeQK0wsf3ayTpwTRGn3UiMd0vUZUL5975bPJgt1iHPMcrY0iXdffkJogUXNvdWDSlvqeS6VTtOF1ACFlEISRybr+Z3XHu9iYRNKFiI+v5Fzlt++oOvYyZD8UbmOdcMAYTTETXrNtXCS4ncrUMGoi458g8eFhfk4WmQkSNWRSocda0u/sE77rGcn3W4kLBGEE4s3lzj0b4qd+fftvBX/nPrLHvPDDqOGPqqH/wC1QlK5fLRdTC5JrEyT2301sgkTNTWnHtFjsK6qiU43hXqpEhO9xE6g1y5oftT2GMToRND4OIxjbNi6qWvRJ7GP/BykoLj+eFLqs4IbWp9cOEkEKIoR0MvRyG+b1vQLpQsBVMCKMNL6Sc55jBVGvwXJLdwD7vFW/fMxVXDZNmiOWZqEAhd8EiZp7qjX9SRG3swx3jRdT2ZEKRoSRxrp2vq7fmDouIyApfPWV8jkvIpqJe2YmpKCIrCrG7f/HtY5CBeE0QaKGlAx6qyP91j64fTQsQBBGFOx1e47v02QOJF2IaHjPHS3/6AV1h17RY18iu2ogqDn/BIlnd/E/9WGmdWZk4tyNPdiU3leBy1yk6wAQhBHGfaxA3qh1mK8AED6cBZsqvn3HOPpZXd/RpGsBNbXnCu6wjCtxon0j2NCsoxQkMhr1S6bXXIArheTBNcKI4i7MC6s72sOXIFhW/+A6tCPu2Q9k8SmkqwE1cm2CxMdZzNgwniBRczkp1LJzeEJz0nVIHgRhBMHYfXSvbtCDpOsId4LbaZ43A/Gc6cU5tFq6/WLE5ZwNj9/KK0QyQaKGsuvTz+z0uXlGCVMKiYqEoyrg5z13lNYb2eh40oWENcFhLZ/9nCwuOfaxdyEFxeKnc0yXFdyQ+vQ6kUyQqKFoBWoXTW2+jEkXInUwIowcrqJ8VRqcF70VzHOV/31X1a67YcgE0rWAGrniRo9t409a2A1imyBRQzkN6NxiYXB9GBKSBCPCyOE6vEsJQXhL1f/7klZpDdkPkS4E1Ih/BYkULdra3xORKYgQGtGAWjjSEqUAACAASURBVHEew5CQLBgRRgiuogS7HfJ6zUgXEr7s23M9pw6bXvwIOoiGPxeHpu7hVxbjBXcxvRIpm410QUHTVE/pZGh/Be4YC29LYmBEGCHchbuUqRmwi78Zz5lC228LY//1Nq3UkK4F3MZfJ0j0Soz8t/SwBlRuMYwJSYIgjBBwgfAWOHOZ+Ydp0eOmwJpKYY7HaMZBYcg67s2O9KK+jFFBuqCQyEmhc4thNiFJcGo0Egguu+/CKUXTdqQLCUfY46r85i3dgLGKZu1J1wJuJSInSNRE13iq2I4vOnA9KT3qsAIjwkjgPrJH0awdJZfG8fMdwdj802x5SnNt96GkSwG34l9BIvImSNQEQ6HB9elVcHaUHAjCSOAuylOmZZCuIhxZf/1RsJqjRj9HuhBwU1fc6O71/MxDwoZsdko7mpZWCF6Vk0LB2VGCIAhFD/Oc+9g+ZasupAsJO66D250Fm2ImvkExcAkgTP12CXdcxqVoUcHdkTlNsIYG1aO3l2Kbj3QdUgU7CNHzni5kTfUYPSzD+ze+S6erFn8W99T7tDaKdC3gBvwTJFacx/PvYqRwa+itaWUoK57acEm4uyEMTgiAJ130XEV5cL/odXhbVcW37xhHPiVLakS6FnADB824wzLO4kWHRkpigkRN5KTQMImCFAhC0XMX7VamwgXCP2GeM/8wTZM5UNWhJ+lawI3tq8AeAX3ejdHDEpB/yEmhVl8QBIhCEiAIxc1Xeh5hQZbYkHQhYcS6+gdaG6UfMJZ0IeCmHm5O90mkXsyD9dn/lKKlktRUXjkkIQEQhOLmhv6if8ebyx35v0Xd+xQ02QlzH2cxq4qFoirY7/8J7h0lBYJQ3FxFeSpYifcvLGt+1PYYxujg1qFwp5Ohl9swr++F/f6fclLolefhyIAACEIRE+zVXPlFeZM00oWEC1/JOc+xAu1d95AuBNTIM6n0ITPeWQa7/qvS4yirD520wBMSahCEIuYqzFe27AST5K6xrPqvrv99tFJNuhBQI3IavdGBnroHrhReRSGUXZ9adQGCMNQgCEXMXZSnhPOif/CcKeJKzmm6ZpMuBNyBcc1oswf9Crv+P+Sk0Lnn4XRxqEEQihX2eT0nDylbdSZdSLiw/vqDfvB4ioX78cWEodB76fTUPTxMG/Drm0Ttq8RVHtJ1SAwEoVh5TuyX1W9Kq7WkCwkLrsI8wWFTp/chXQi4Y8Mb0HoZWngahkEIIaRi0V2J9JqL8GyEFAShWLmK8lUwj94PY+uaHw05E2HKhEhN78y8USB44FohQujqJAoYIIcUBKE4Yew+Ag1lrnLu2UArVMrW0HZcrLonUKlRaO4xGAYhhFBOCr3uouCFJyOEIAhFyXvhJK1Us3HJpAshD/Ocdd1CQ85E0oWAOnm/M/PeAd4Kyy8gZFKhFgZqWykMCkMHglCU3EV5yrQs0lWEBce2lbKkhvJGqaQLAXXSJpoakEx/dBjGQQhdbcANT0XoQBCKkqsQLhAihBD2uGybluiHTCBdCAiAd9PpT4v4MhfpOsLAsAbUCmgxE0IQhOLDV5Xzlkp5g5akCyHPtnGRslW6LKEB6UJAADTQUg82o6cdgHtmUJqRYilUCI1YQwWCUHzcx/crW3VCtNRfO95WZd+xWj/oQdKFgIB5rT2z8LRwzgYBgAbVo367CM9DiEh9ZypGvLmUjatHugrynLvXq9r3YIwm0oWAgIlTokda0HD7KEKouYE6Z4cgDBEIQvHhLZWMIZp0FeS5Du9St+tBugoQYCMb0ithFh1CiWp02Um6CMmAIBQf3mpm9FIPQsFezZVfgJU3Ik96HFXthRUYUKKaKnFK/UkIGQhC8YEgRAi5imDljchEITSkPrVa8m24E9WoBEaEoQJBKD68xcwYYkhXQZi7MB9W3ohUMIsOIZSkpkpdUj8aCBkIQpHBPIdddlpjIF0ISZjzeU4dUrbsRLoQEBR9k6iCCqmvwKBkkIJGEn8SQgaCUGQEWzWtNUi8u7TnxH5ZvSa0Rk+6EBAU/hUY1kp+BYZENVUCg8KQgCAUGd4K50WRqzAPGutENliBASGUBJcJQwWCUGTgThlYeUMKclLotZJfgQFuHA0ZCEKRESyVtLSD0HsRVt6IfP4VGLZLewUGmEoYMhCEIgMjQrhfVCLg3lEYEYYMBKHIQBC6CvNUaXBeNPLlpFArpb0CQ6IKrhGGCAShyPBWs5T7q/HVV3hLpbxBK9KFgKBrE01hhIokvAIDjAhDBoJQZASrmdZL965RV2GeqnVnWHlDInJSKCn3HU1SoxJYnTEkYIciMhI/NeouzFOmwQVCqchJoXPPS/cyIYwIQwaCUFQwFuwWRhdFug4ysMflPXdM2aIj6UJAiPRKpI5bcKlUR0VaGUII2Xyk65AACEIx4e3VtFqHaIZ0IWR4L51hE1IohYp0ISBEZDTqEkcVVEh3VJQEg8KQgCAUE8FipiV8p4xgqWSiYklXAUIqWSPpJIA1KEIDglBMBFuVlC8QSvz6qDRJPAngMmFoQBCKCW+tlHISQBBKUKJK0kmQqILmMqEAQSgmvEXSSQANxyUoSQMjQukeB4QMBKGYSHwSoWA1S7zPqgQlqiS9FFEiTCUMCQhCMZF6Wxk4NSo9Er9GCHeNhgYEoZhI/WYZi6QvkUpTgpoqc2HJRoHEjwNCBoJQTKScBJjzYa+bVutIFwJCSk4jLYvMHop0IWQkqqnLMCIMPghC8cBYsFfTOiPpOgixW2i9EVES3SFKWZKGkmxzmSg58gnIyZGuI9JBEIoGdtkphYpiZaQLIUPip4WlLFGFyjzS3VMlqKhyqQ6IQ0a6by/RkXgSCDa4U0aiEtWUlK+TJapRqQuCMLgCE4T//e9/s7OzR44c+fvvvwdkg+CfJD55QOLHAVKWqEalbukmQaKaghkUwRaAIFy4cOGbb775/PPPDx06NCcn5+TJk3XfJvgnwVYl5SBEtmopz6GUskS1dK8RIhgRhkQAgnDOnDnvvPPOwIEDH3744ZEjR3799dd13yb4JyztIRGMCCUrUY3K3NK9iCPx44DQqOvbC2N84MCBrKws/6dZWVkFBQV1rgrcgMSTQLBVSbmZgJQlSTsJkqR9HBAabB1/3mw2e73e6Oire6iYmJiysrKbffPRo0c3b948Z84c/6darXbZsmUKhaKGv8vj8dA0LZNJ9LZJX3UlXb+53W4nXQgZvK3KTcs4qT58h8NBSXXqiFagylysZN/5ekSXOJBkHz7HcT6fj+f5Wm9BqVSy7G2Srq5BqNVqKYpyua4esDkcDp3uplOeGzVqlJ2dPXToUP+nCoUiJuYOrvrIZDIpB6FLo1VQWKvVki6EDLtKrWJohVQfPsbSfel5N9bJvJJ9+D5GMCh8Wq2adCFk+INQpQructx1DUKFQmEymc6cOdOwYUOE0NmzZ1NSUm72zUqlsmHDhp06darjL5UmWmfkLWbSVRBD64y8VboPX8pKXChBJd3uKiVOST/80AjAqef77rtv7ty5CCG73b5w4cL77ruv7tsE/0TpogUJJwGlhSCUqBInTgzueCCslbhwgoQffmgEIAhfffXVEydOtG7dunnz5p07dx4xYkTdtwn+idJFSTkJKJ1RyscBUibxIVGJEyUoBdJVRLi6nhpFCJlMpoKCghMnTmi12uTk5LpvENwQrTP6bFWkqyCG1hv5M5dIVwEIKHHiZmopByFOgN1qkAUgCBFCFEW1aNEiIJsCN0PrjLylknQVxFDaKM4q3YcvZZedqEeMdIPwsrQHxKEB01NEg9IZBVsVkurSbBTcLCNVJU6coCRdBDklTrhGGHQQhKJBMSylVAtOG+lCyKB1RkHCN81KmZSvEXp45OCQUS7Rhx8yEIRiwuijJXt2lFJqsMBhr4d0ISCkMELlbmxSSjQJSpw4QSXVTgohBEEoJrQ+WsqnBxldNG+T7sOXpko30smQXKo7qhIXSpToTPqQkur7S5wkHoS0PlrKLQWk6bITJ6qlOyIqkfbDDxkIQjFh9JKeUy/xhy9NJU4k6dn0TpQEI8LggyAUE0baI0LGIOmHL00SHxJJ/OGHDAShmDAGSZ8blPhxgDSVuCQ9JCpxwjXCUIAgFBNaZ+QlPKkcglCCJD4kuuzEiSrpPvyQgSAUE1raF8kk/vClSeJDIok//JCBIBQTRh8j5SERG5fkKz0v2d460nSkCjfRS3dIVOrCCRIeEIcMBKGYUDI5xcoFp0TXqmZjEim50nfpNOlCQIictuJqL2ofI9Ek4ARU5UEmCbeXCxkIQpGR+FRCVVqmqzCPdBUgRFacxzkp0u2rUurCcSqKluzjDyEIQpGR+Fw6JQShlOQWCzkNpLuPkvgcylCS7ptMpCQ+l07RsDVffYWvriBdCAi6ai/aX4l7J0p3QFTixEka6T78UIIgFBmpTyGgaWWrzu6ifNJ1gKD79YLQO5FWB2bJVFEqccGIMEQgCEVG6kGIkCotw1UEZ0cjX24xzmkg6fGQxOdQhhIEocjQ+mhBqisx+SlbpnvPFGGPi3QhIIh8AvrtopBdX9I7qMswiTBUJP0+EyOJTyVECFEKlbxhK/fx/aQLAUH0eyluYaAkvjJ7iRNDEIYGBKHISPxmGT9lWqYbzo5GNInfL+pX4kRwajQ0pP5WEx24Roj8swmLdiNBIF0ICJaV5/GwFKlnAKzBFDIQhCJDKVQIIYlfIWOi4hhDjPf8MdKFgKAorMIYoVSjpINQwKjCjU1KST8JIQNBKD4wKERXB4UwiSIyrTyPR0j7flGEULkbGRWIhT10SMDTLD4SX5XQT5mW4S7cRboKEBS5xUJOitR3TSVOnAQXCENF6u82MWL00VJeldBPXq+Z4HZyVy6RLgQEWLkLHbfg7glSzwBYgCmUIAjFh5b8DAqEEKIoZesu0GIm8qy6IAxIpuWS3zOVOHECLMkbKpJ/u4kQo48WoNkmQuqOve07f0UCT7oQEDAYoS+OCGObQACgSzAiDCEIQvGRN2zpOX2YdBXkKZq2YaLiHHnrSBcCAuaX0wJNIZhBiBDaclnIiofnIUTgiRYfRcPWXFU5rMCAEDLkTLSuW4C9HtKFgADwCeiNAmF6ZwbGgxYv2iftlTdCDIJQhGAFhj/I6zeTN2pt/3056UJAAHxzTGiiR32SYO+PVkt+5Y0QgyAUJViB4RrDkAm2zUsFp410IaBOHBx674AwLZ0hXUhYgJU3QgyCUJRgBYZr2LhkVbvuto2LSBcC6uTjQqFXItUxFvb+sPIGAfBcixKswPBX+kEPOvLW8dVXSBcCaqnKgz4p4v+vE+yOEIKVN0iAd55YwQoM1zD6aE3WYOvaBaQLAbX0nwP8qEZ0Uz0MBxGClTdIgKdbrFSpGbACwzW6fqNdhXm+0mLShYA7dsmB550UXu8AVwevWl2McyS/8kaIQRCKFWM0MYZoWIHBj1ZqdH3utf76/0gXAu7Y6wXCE61oOBPoV1iFfQJKk/bKG6EHQShisALDX2l7DPNeOOk9d5R0IeAOHLfgNReEl9rAcPCqlefxiIaQgqEGQShiytRMWIHhGkom1w98wJL7PelCwB2YsluY0o4xyEnXETZg5Q0i4BkXMXn9ZoLLASswXKPp0l9wWNzHCkgXAmpk9xV8oBI/1Qr2Qlf5V97oIfmVN0IP3oJiRlHK1Az3kd2k6wgbNK3PnmBZ+S3CmHQp4Pam7ubf6UQr4LToH1ZdEAbWg5U3CICnXNxUqRmuQphE8SdVmyxKrnDs2UC6EHAby84J5W70YFPYBf0p9zweWh+GgwTAu1DcFM07+C6cEpx20oWEDYoyjnrOsvI736XTpEsBN3Xcgp/cwc/tzkCD7WvcPNpcIgyGhjIkwJMubpRMrmjW1n1sL+lCwgqm5Qr3UXhOwpTVh+5Zz7/biekaDzH4p42XcccYKlpBug5JgiAUPWVqphvOjvphbN+6/MqXr+r6jdH1G0O6GnADAkZjN3ED6lH/agk7n7/JPQ8NZYiBdT5ET5WWYVn5DeY5ipH0q8lXlZsXzMI8Z3rxYzYmkXQ54MYm7+a9AprZBe6Q+RuM0OoL+KU2EIRkSHrXGRlobRRrquc9U6ho1p50LcS4DmyrWvK5tvtQ/YCxiIa9SZiad0pYdg7nD2dZeIn+rqAC62WomQHOFZMBQRgJVKmZrsJ8aQah4HZUL/ncd/FU3BPvyeo1IV0OuKld5filPH7zEDZWSbqU8JN7XhgGCxCSAwdmkUCZJtHLhJ4TB8qmP0HJlaZJn0IKhrMSJxqzkf++J5sKXTRvZGUxhoYyBMGIMBLIEhsihH2l52UJDUjXEiLY57Wune/cu9E45gVl686kywG34ubRiPXcs6n0UFhU4UYuOPBlJ84wwZNDDARhhFCmZrgL8yQShL7S8+Z5M9jY5PjJX9IaPelywK1ghB75nW9uoF5pCyOeG1t5HmfXp2FKJUHw1owQqrRMSbSY8U+Q+GyyttvQmIdfgxQMf+8fEI5Z8Nfd4TbRm8otFmABQrJgRBgh5E3acOUXeWsVozeSriVY/pwg8cLHbCxMkBCBtRfxl0eFXcMYNexpbsLuQ3nleHFfGJOQBM9+hKAYVtmio/toxDbg9hXuKvvwOUXTtqZnZ0EKisKxajxhK7ekL1NPA8Odm1p7UegaT+lkpOuQNjhOixzKtAzXge2ajIGkCwkw/wQJT/EJmCAhIicseMg6flYGA/eA3NoquF80DMALEDmUrbt4Th7EXg/pQgLp2gQJ7RMzIAXF4rdLuOcq7tX2NCwucWs8Rr9eEOBmWuJgRBg5aJVWVq+J59RBZesupGsJgOsmSNhsNtIVgRqZe0x4q4D/uQ97VyLs329jZxmur6Xqw6lj0iAII4oyLdNVmBcBQegrPW+e9wEbmwQTJETEw6OndvB7K/CuYWxDHezcbw/uFw0TcOIioqjSstxF+eJen/3PCRJDYIKEiFS40cC1nNWHdkIK1lhuMR4GFwjDAIwIIwobm0irNJ6zRxSNU0nXUhv+CRII4fhJnzLRJtLlgJraV4Hv3sA/0oJ+owMNGVhDh83Y7kMdYuEJIw8ORiKN9q6R1tU/kK6iNlwHtvknSMQ9NQNSUEQWnxUGr+NmZ9BvQgreiTcKhElt4BkLCzAijDSaLv3tW5a6jxUoW3YiXUtNwQoSIoUR+uCg8MVR4deBbCcY2dyJ3VfwgUr8Sx9ouBMWIAgjDk3rsydYVn6rbNERUSLYN3lOHDD/NFvZKt006VNKriBdDqgpuw+N38qXu/Du4Wy8inQ1YjN1N/9OJ1oBORge4NRoBFK17UopVM79W0kXchvY57Xkfm9eMNM46lnj6OfCJwWLqvAJi5hvOAq+szbcNZeLU6LNQyAF79ivF3C5G8Eky/ABr0RkMuRMtK7+AfMc6UJuyld6vvzjF7mKkvjJX4bVOkrVXpS9ju+ey60qhiy8sU2XcdeV3OMt6a+7MzLYhdwhAaN/7+GnpcNyE2EETo1GJkXjNNZU37FrjbZ7Dula/gFj++8rrOt/MmQ/pOmaTbqa6z29gx/egBrbhHlgM//1MTQtnWkTDXusq45b8Ot7hfxyvLAP2xvmy9fKwtOCVoaGNYAjiDACL0bEMgx7xLZuIfa4SBfyN3xV+ZUvpjr3bzW98HEYpuDC08L+SjyjM5Npoo6NYnNS6EFr+dEb+dNWqY8OLznw49v5Hrlceix1fBSkYC15BfRWgfBeOlwbDC8QhBFLlthQ0by9bety0oX86eoEiSZtTM99GIYrSFxy4Bfz+P/Xi1GxCCEko9FjLekTo9lOsVTmSu7x7XxpeB1UhIjNh2YcFDou54wKdHyUbEo7WgUnkmrrq6NCayOC5nPhBoIwkumHTLBvXSbYq0kXggS3wzz/A8uaeXFP/Ec/6EFEh90bT8Bo/FZ+UhrTOe5vOykNi6a0o4+NkhkVKG2Jb+oe3uojVWOoeQU095jQbJGvoALnD2Ond2aM4XI/kyjZfWj6Qf7dTjAcDDthtz8CAcRGx6s73mXdsIhsGZ6TB8pmPEnJlfEvfSqr15RsMTczu1Dw8Ojltjf+i4hRoOmdmX13s1Ue1HyRb8ZBwc2HuMCQEjBafFZosZhbfFZYP5hd1JeBrml1N+sw3z+Zbh8Dz2TYgSCMcPqBDzj3bOAqS4j89qsTJOaH3QSJ6xRV4VmH+Pl3Mbe+kS9FS33dndk0hC2owC0Wc3OPCXwkXjrccAm3X8bNKRTm9WLWD2bhXqGAuOJGnx8R3uoIu9xwBK9KhKO1Bm33HOu6haH/1X9MkLgcbhMkruPh0djN/MyMmg56WkdRi/oyP/dhFpwS2i7lFp8Vgl1hyOwowz1WcS/m8W90oLfnsN0TIAID5t39/INN6cYwsA5LcNU78un63Fv63kTfpTOy5MYh+pXhPUHiOq/t5ZsbqHF3OLs5y0RtHcquOC+8ukf4/IgwtR3TJ4mSi/PAkhPQ1lI88xB/2or+k06PbgwNMAPsrA3/dFo4cq+MdCHgxiAIIx+lUOn6jrau+THm0bdD8Ov46ivmBbOwz2t64eMwvDX0Opsu41/O4AP31PIPYXgDemgKPe+k8N4B/v5NuH8yndOAyq5Px4TpOeC/qfaitReElcV43UWhmYF6uDk9sTkNE+SD4a0C4ZnWTJySdB3gJiAIJUHTPcf++0rPqcOKpm2C+otcB7ZVLflc232ofsDYMLw19DrVXjTxd35ud6YuucVQaEJzekJzutKDNl0Wcs/j53f5GuuooSnU6MZ066iwG1yds+HfLuHcYmFbKe4cRw2tT8/swibDIulBc9iMf7sknOwGw8HwFYAgLCkp+fbbb/fv3+/1eletWlX3DYKAoxhWP+gB668/xD33YZB+heB2VC/9wlt8Mu6J/4TtraHXeWoHP6IhNbh+YDIgRoFGNaJHNUKcwOSV48VnhUFreBmNhqZQOSl0r0SK4GBLwGh/Jc4tFlYV42I7HlSPHt+M/qk3rYWdc/BN3cO/3oHRwVMdxgIQhKWlpeXl5a1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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p = plot(;ratio=:equal)\n",
"for geom in getGeometries(cut2)\n",
" x,y = polyxy(geom)\n",
" plot!(p, x,y)\n",
"end\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GeoInterface.nhole(geom) = 0\n",
"GeoInterface.nhole(geom) = 0\n"
]
}
],
"source": [
"for geom in getGeometries(cut2)\n",
" @show GeoInterface.nhole(geom)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"POLYGON ((0 0, 4 0, 4 4, 0 4, 0 0), (1 1, 1 2, 2 2, 2 1, 1 1))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tt = readgeom(\"POLYGON((0 0, 4 0, 4 4, 0 4, 0 0), (1 1, 1 2, 2 2, 2 1, 1 1))\")"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5-element Vector{Vector{Float64}}:\n",
" [0.0, 0.0]\n",
" [4.0, 0.0]\n",
" [4.0, 4.0]\n",
" [0.0, 4.0]\n",
" [0.0, 0.0]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"GeoInterface.coordinates(GeoInterface.getexterior(tt))"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GeoInterface.ngeom(tt) = 2\n",
"GeoInterface.nhole(tt) = 1\n"
]
},
{
"data": {
"text/plain": [
"5-element Vector{Vector{Float64}}:\n",
" [1.0, 1.0]\n",
" [1.0, 2.0]\n",
" [2.0, 2.0]\n",
" [2.0, 1.0]\n",
" [1.0, 1.0]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@show GeoInterface.ngeom(tt)\n",
"@show GeoInterface.nhole(tt)\n",
"GeoInterface.coordinates(GeoInterface.gethole(tt,1))"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"_makering (generic function with 3 methods)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"function _makering(a, b, sides, center = [0.,0.], orient = 0.0)\n",
" io = IOBuffer()\n",
" write(io, \"POLYGON((\")\n",
" for i in 0:sides\n",
" s, c = sincosd(orient + i * 360/sides)\n",
" print(io, center[1] + b*c, \" \", center[2] + b*s)\n",
" i < sides && write(io, \",\")\n",
" end\n",
" write(io, \"), (\")\n",
" for i in 0:sides\n",
" s, c = sincosd(orient - i * 360/sides)\n",
" print(io, center[1] + a*c, \" \", center[2] + a*s)\n",
" i < sides && write(io, \",\")\n",
" end\n",
" write(io, \"))\")\n",
" s = String(take!(io))\n",
" @show s\n",
" polyring = readgeom(s)\n",
" return polyring\n",
"end\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"s = \"POLYGON((1.4142135623730951 1.4142135623730951,-1.4142135623730951 1.4142135623730951,-1.4142135623730951 -1.4142135623730951,1.4142135623730951 -1.4142135623730951,1.4142135623730951 1.4142135623730951), (0.7071067811865476 0.7071067811865476,0.7071067811865476 -0.7071067811865476,-0.7071067811865476 -0.7071067811865476,-0.7071067811865476 0.7071067811865476,0.7071067811865476 0.7071067811865476))\"\n"
]
},
{
"data": {
"text/plain": [
"POLYGON ((1.4142135623730951 1.4142135623730951, -1.4142135623730951 1.4142135623730951, -1.4142135623730951 -1.4142135623730951, 1.4142135623730951 -1.4142135623730951, 1.4142135623730951 1.4142135623730951), (0.7071067811865476 0.7071067811865476, 0.7071067811865476 -0.7071067811865476, -0.7071067811865476 -0.7071067811865476, -0.7071067811865476 0.7071067811865476, 0.7071067811865476 0.7071067811865476))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ring1 = _makering(1, 2, 4, [0,0], 45)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(x, y) = ([1.4142135623730951, -1.4142135623730951, -1.4142135623730951, 1.4142135623730951, 1.4142135623730951], [1.4142135623730951, 1.4142135623730951, -1.4142135623730951, -1.4142135623730951, 1.4142135623730951])\n",
"(x, y) = ([0.7071067811865476, 0.7071067811865476, -0.7071067811865476, -0.7071067811865476, 0.7071067811865476], [0.7071067811865476, -0.7071067811865476, -0.7071067811865476, 0.7071067811865476, 0.7071067811865476])\n"
]
},
{
"data": {
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p = plot(;ratio=:equal)\n",
"for i in 1:GeoInterface.ngeom(ring1)\n",
" x,y = polyxy(GeoInterface.getgeom(ring1, i))\n",
" @show x,y\n",
" plot!(p, x,y)\n",
"end\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GeoInterface.ngeom(ring1) = 2\n",
"GeoInterface.nhole(ring1) = 1\n"
]
},
{
"data": {
"text/plain": [
"5-element Vector{Vector{Float64}}:\n",
" [0.7071067811865476, 0.7071067811865476]\n",
" [0.7071067811865476, -0.7071067811865476]\n",
" [-0.7071067811865476, -0.7071067811865476]\n",
" [-0.7071067811865476, 0.7071067811865476]\n",
" [0.7071067811865476, 0.7071067811865476]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@show GeoInterface.ngeom(ring1)\n",
"@show GeoInterface.nhole(ring1)\n",
"GeoInterface.coordinates(GeoInterface.gethole(ring1,1))"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"getting\n"
]
}
],
"source": [
"for geom in getGeometries(ring1)\n",
" println(\"getting\")\n",
"end\n",
" # GeoInterface.coordinates(GeoInterface.getgeom(ring1,1))"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5-element Vector{Vector{Float64}}:\n",
" [0.7071067811865476, 0.7071067811865476]\n",
" [0.7071067811865476, -0.7071067811865476]\n",
" [-0.7071067811865476, -0.7071067811865476]\n",
" [-0.7071067811865476, 0.7071067811865476]\n",
" [0.7071067811865476, 0.7071067811865476]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"GeoInterface.coordinates(GeoInterface.getgeom(ring1,2))"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"MULTIPOLYGON (((-0.9902429970120487 -1.4142135623730951, -0.4951214985060244 -0.7071067811865476, 0.7071067811865476 -0.7071067811865476, 0.7071067811865476 0.4951214985060244, 1.4142135623730951 0.9902429970120487, 1.4142135623730951 -1.4142135623730951, -0.9902429970120487 -1.4142135623730951)), ((-1.4142135623730951 1.4142135623730951, 0.9902429970120487 1.4142135623730951, 0.4951214985060244 0.7071067811865476, -0.7071067811865476 0.7071067811865476, -0.7071067811865476 -0.4951214985060244, -1.4142135623730951 -0.9902429970120487, -1.4142135623730951 1.4142135623730951)))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cut3 = difference(difference(ring1, wedge), wedge2)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(x, y) = ([-0.9902429970120487, -0.4951214985060244, 0.7071067811865476, 0.7071067811865476, 1.4142135623730951, 1.4142135623730951, -0.9902429970120487], [-1.4142135623730951, -0.7071067811865476, -0.7071067811865476, 0.4951214985060244, 0.9902429970120487, -1.4142135623730951, -1.4142135623730951])\n",
"(x, y) = ([-1.4142135623730951, 0.9902429970120487, 0.4951214985060244, -0.7071067811865476, -0.7071067811865476, -1.4142135623730951, -1.4142135623730951], [1.4142135623730951, 1.4142135623730951, 0.7071067811865476, 0.7071067811865476, -0.4951214985060244, -0.9902429970120487, 1.4142135623730951])\n"
]
},
{
"data": {
"image/png": 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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p = plot(;ratio=:equal)\n",
"for i in 1:GeoInterface.ngeom(cut3)\n",
" x,y = polyxy(GeoInterface.getgeom(cut3, i))\n",
" @show x,y\n",
" plot!(p, x,y)\n",
"end\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.8.5",
"language": "julia",
"name": "julia-1.8"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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