PtsAlgHorseShoe: Function to find points along a horseshoe shape
In GeoRange: Calculating Geographic Range from Occurrence Data
Description
Usage
Arguments
Details
Value
Note
References
Examples
Description
Function to find points along a horseshoe shape
Usage
1
PtsAlgHorseShoe(z, spacing = 1, endAngles = c(-90, 90))
Arguments
z
- Distance in kilometers from the center of the horseshoe to its lower boundary
spacing
- Degrees between successive point outlining the horseshoe shape
endAngles
- Array of values denoting the degree of rotation for the circular part of the horseshoe distribution
Details
Currently forces use 0,0 as the center, a height 5/4 width, and r2=2*r1 of origin (center)
Value
Returns a 2-dimensional array of decimal degree coordinates outlining a horseshoe shape
Note
Currently only works when endAngles are multiples of -90,90; otherwise rectangle point positions are off
References
[1] From http://mathforum.org/library/drmath/view/51816.html
Examples
1
PtsAlgHorseShoe(z=2000,spacing=1,endAngles=c(-90,90))
Example output
longOut latOut
[1,] -17.9864321 -2.697965e+01
[2,] -17.9864321 1.083351e-15
[3,] -17.9838691 3.087776e-01
[4,] -17.9761805 6.174701e-01
[5,] -17.9633672 9.259924e-01
[6,] -17.9454309 1.234259e+00
[7,] -17.9223739 1.542186e+00
[8,] -17.8941994 1.849687e+00
[9,] -17.8609110 2.156678e+00
[10,] -17.8225132 2.463074e+00
[11,] -17.7790110 2.768789e+00
[12,] -17.7304104 3.073739e+00
[13,] -17.6767179 3.377838e+00
[14,] -17.6179409 3.681002e+00
[15,] -17.5540876 3.983146e+00
[16,] -17.4851667 4.284186e+00
[17,] -17.4111880 4.584036e+00
[18,] -17.3321622 4.882612e+00
[19,] -17.2481005 5.179829e+00
[20,] -17.1590154 5.475604e+00
[21,] -17.0649199 5.769850e+00
[22,] -16.9658283 6.062486e+00
[23,] -16.8617556 6.353425e+00
[24,] -16.7527180 6.642585e+00
[25,] -16.6387325 6.929880e+00
[26,] -16.5198174 7.215229e+00
[27,] -16.3959920 7.498547e+00
[28,] -16.2672766 7.779750e+00
[29,] -16.1336928 8.058756e+00
[30,] -15.9952634 8.335481e+00
[31,] -15.8520125 8.609844e+00
[32,] -15.7039653 8.881761e+00
[33,] -15.5511483 9.151151e+00
[34,] -15.3935896 9.417931e+00
[35,] -15.2313186 9.682020e+00
[36,] -15.0643658 9.943337e+00
[37,] -14.8927637 1.020180e+01
[38,] -14.7165459 1.045733e+01
[39,] -14.5357477 1.070985e+01
[40,] -14.3504061 1.095927e+01
[41,] -14.1605594 1.120553e+01
[42,] -13.9662479 1.144853e+01
[43,] -13.7675134 1.168820e+01
[44,] -13.5643995 1.192447e+01
[45,] -13.3569515 1.215725e+01
[46,] -13.1452166 1.238648e+01
[47,] -12.9292438 1.261207e+01
[48,] -12.7090840 1.283395e+01
[49,] -12.4847898 1.305204e+01
[50,] -12.2564160 1.326628e+01
[51,] -12.0240192 1.347659e+01
[52,] -11.7876579 1.368290e+01
[53,] -11.5473928 1.388514e+01
[54,] -11.3032865 1.408324e+01
[55,] -11.0554036 1.427712e+01
[56,] -10.8038107 1.446673e+01
[57,] -10.5485766 1.465199e+01
[58,] -10.2897721 1.483285e+01
[59,] -10.0274701 1.500923e+01
[60,] -9.7617453 1.518107e+01
[61,] -9.4926750 1.534831e+01
[62,] -9.2203380 1.551089e+01
[63,] -8.9448156 1.566875e+01
[64,] -8.6661907 1.582184e+01
[65,] -8.3845487 1.597009e+01
[66,] -8.0999767 1.611345e+01
[67,] -7.8125638 1.625187e+01
[68,] -7.5224012 1.638530e+01
[69,] -7.2295818 1.651368e+01
[70,] -6.9342006 1.663697e+01
[71,] -6.6363542 1.675513e+01
[72,] -6.3361413 1.686809e+01
[73,] -6.0336621 1.697584e+01
[74,] -5.7290187 1.707831e+01
[75,] -5.4223145 1.717547e+01
[76,] -5.1136549 1.726729e+01
[77,] -4.8031465 1.735372e+01
[78,] -4.4908976 1.743474e+01
[79,] -4.1770176 1.751031e+01
[80,] -3.8616174 1.758041e+01
[81,] -3.5448091 1.764500e+01
[82,] -3.2267059 1.770406e+01
[83,] -2.9074220 1.775756e+01
[84,] -2.5870728 1.780550e+01
[85,] -2.2657742 1.784783e+01
[86,] -1.9436432 1.788456e+01
[87,] -1.6207975 1.791566e+01
[88,] -1.2973552 1.794113e+01
[89,] -0.9734351 1.796094e+01
[90,] -0.6491562 1.797510e+01
[91,] -0.3246380 1.798360e+01
[92,] 0.0000000 1.798643e+01
[93,] 0.3246380 1.798360e+01
[94,] 0.6491562 1.797510e+01
[95,] 0.9734351 1.796094e+01
[96,] 1.2973552 1.794113e+01
[97,] 1.6207975 1.791566e+01
[98,] 1.9436432 1.788456e+01
[99,] 2.2657742 1.784783e+01
[100,] 2.5870728 1.780550e+01
[101,] 2.9074220 1.775756e+01
[102,] 3.2267059 1.770406e+01
[103,] 3.5448091 1.764500e+01
[104,] 3.8616174 1.758041e+01
[105,] 4.1770176 1.751031e+01
[106,] 4.4908976 1.743474e+01
[107,] 4.8031465 1.735372e+01
[108,] 5.1136549 1.726729e+01
[109,] 5.4223145 1.717547e+01
[110,] 5.7290187 1.707831e+01
[111,] 6.0336621 1.697584e+01
[112,] 6.3361413 1.686809e+01
[113,] 6.6363542 1.675513e+01
[114,] 6.9342006 1.663697e+01
[115,] 7.2295818 1.651368e+01
[116,] 7.5224012 1.638530e+01
[117,] 7.8125638 1.625187e+01
[118,] 8.0999767 1.611345e+01
[119,] 8.3845487 1.597009e+01
[120,] 8.6661907 1.582184e+01
[121,] 8.9448156 1.566875e+01
[122,] 9.2203380 1.551089e+01
[123,] 9.4926750 1.534831e+01
[124,] 9.7617453 1.518107e+01
[125,] 10.0274701 1.500923e+01
[126,] 10.2897721 1.483285e+01
[127,] 10.5485766 1.465199e+01
[128,] 10.8038107 1.446673e+01
[129,] 11.0554036 1.427712e+01
[130,] 11.3032865 1.408324e+01
[131,] 11.5473928 1.388514e+01
[132,] 11.7876579 1.368290e+01
[133,] 12.0240192 1.347659e+01
[134,] 12.2564160 1.326628e+01
[135,] 12.4847898 1.305204e+01
[136,] 12.7090840 1.283395e+01
[137,] 12.9292438 1.261207e+01
[138,] 13.1452166 1.238648e+01
[139,] 13.3569515 1.215725e+01
[140,] 13.5643995 1.192447e+01
[141,] 13.7675134 1.168820e+01
[142,] 13.9662479 1.144853e+01
[143,] 14.1605594 1.120553e+01
[144,] 14.3504061 1.095927e+01
[145,] 14.5357477 1.070985e+01
[146,] 14.7165459 1.045733e+01
[147,] 14.8927637 1.020180e+01
[148,] 15.0643658 9.943337e+00
[149,] 15.2313186 9.682020e+00
[150,] 15.3935896 9.417931e+00
[151,] 15.5511483 9.151151e+00
[152,] 15.7039653 8.881761e+00
[153,] 15.8520125 8.609844e+00
[154,] 15.9952634 8.335481e+00
[155,] 16.1336928 8.058756e+00
[156,] 16.2672766 7.779750e+00
[157,] 16.3959920 7.498547e+00
[158,] 16.5198174 7.215229e+00
[159,] 16.6387325 6.929880e+00
[160,] 16.7527180 6.642585e+00
[161,] 16.8617556 6.353425e+00
[162,] 16.9658283 6.062486e+00
[163,] 17.0649199 5.769850e+00
[164,] 17.1590154 5.475604e+00
[165,] 17.2481005 5.179829e+00
[166,] 17.3321622 4.882612e+00
[167,] 17.4111880 4.584036e+00
[168,] 17.4851667 4.284186e+00
[169,] 17.5540876 3.983146e+00
[170,] 17.6179409 3.681002e+00
[171,] 17.6767179 3.377838e+00
[172,] 17.7304104 3.073739e+00
[173,] 17.7790110 2.768789e+00
[174,] 17.8225132 2.463074e+00
[175,] 17.8609110 2.156678e+00
[176,] 17.8941994 1.849687e+00
[177,] 17.9223739 1.542186e+00
[178,] 17.9454309 1.234259e+00
[179,] 17.9633672 9.259924e-01
[180,] 17.9761805 6.174701e-01
[181,] 17.9838691 3.087776e-01
[182,] 17.9864321 1.083351e-15
[183,] 18.4954710 -2.697521e+01
[184,] 8.9932161 -2.697965e+01
[185,] -8.9932161 5.484173e-16
[186,] -8.9918687 1.563098e-01
[187,] -8.9878271 3.125731e-01
[188,] -8.9810922 4.687435e-01
[189,] -8.9716658 6.247747e-01
[190,] -8.9595503 7.806201e-01
[191,] -8.9447490 9.362335e-01
[192,] -8.9272656 1.091569e+00
[193,] -8.9071047 1.246579e+00
[194,] -8.8842716 1.401219e+00
[195,] -8.8587722 1.555442e+00
[196,] -8.8306133 1.709203e+00
[197,] -8.7998021 1.862455e+00
[198,] -8.7663468 2.015152e+00
[199,] -8.7302561 2.167250e+00
[200,] -8.6915396 2.318703e+00
[201,] -8.6502074 2.469465e+00
[202,] -8.6062705 2.619491e+00
[203,] -8.5597405 2.768737e+00
[204,] -8.5106297 2.917157e+00
[205,] -8.4589511 3.064708e+00
[206,] -8.4047186 3.211344e+00
[207,] -8.3479466 3.357022e+00
[208,] -8.2886503 3.501698e+00
[209,] -8.2268457 3.645328e+00
[210,] -8.1625493 3.787869e+00
[211,] -8.0957785 3.929278e+00
[212,] -8.0265514 4.069511e+00
[213,] -7.9548868 4.208528e+00
[214,] -7.8808041 4.346284e+00
[215,] -7.8043237 4.482739e+00
[216,] -7.7254664 4.617851e+00
[217,] -7.6442539 4.751579e+00
[218,] -7.5607087 4.883881e+00
[219,] -7.4748538 5.014718e+00
[220,] -7.3867130 5.144050e+00
[221,] -7.2963110 5.271837e+00
[222,] -7.2036730 5.398039e+00
[223,] -7.1088249 5.522617e+00
[224,] -7.0117936 5.645534e+00
[225,] -6.9126063 5.766752e+00
[226,] -6.8112912 5.886233e+00
[227,] -6.7078771 6.003939e+00
[228,] -6.6023935 6.119835e+00
[229,] -6.4948708 6.233884e+00
[230,] -6.3853397 6.346052e+00
[231,] -6.2738320 6.456302e+00
[232,] -6.1603799 6.564601e+00
[233,] -6.0450164 6.670915e+00
[234,] -5.9277751 6.775210e+00
[235,] -5.8086905 6.877453e+00
[236,] -5.6877974 6.977614e+00
[237,] -5.5651316 7.075659e+00
[238,] -5.4407294 7.171558e+00
[239,] -5.3146276 7.265281e+00
[240,] -5.1868639 7.356798e+00
[241,] -5.0574765 7.446080e+00
[242,] -4.9265042 7.533098e+00
[243,] -4.7939864 7.617826e+00
[244,] -4.6599631 7.700236e+00
[245,] -4.5244749 7.780302e+00
[246,] -4.3875630 7.857997e+00
[247,] -4.2492692 7.933299e+00
[248,] -4.1096356 8.006181e+00
[249,] -3.9687051 8.076621e+00
[250,] -3.8265211 8.144597e+00
[251,] -3.6831273 8.210086e+00
[252,] -3.5385682 8.273067e+00
[253,] -3.3928884 8.333520e+00
[254,] -3.2461333 8.391425e+00
[255,] -3.0983486 8.446765e+00
[256,] -2.9495805 8.499520e+00
[257,] -2.7998753 8.549673e+00
[258,] -2.6492802 8.597209e+00
[259,] -2.4978424 8.642113e+00
[260,] -2.3456096 8.684368e+00
[261,] -2.1926298 8.723963e+00
[262,] -2.0389514 8.760883e+00
[263,] -1.8846229 8.795117e+00
[264,] -1.7296933 8.826653e+00
[265,] -1.5742117 8.855482e+00
[266,] -1.4182277 8.881593e+00
[267,] -1.2617907 8.904980e+00
[268,] -1.1049506 8.925632e+00
[269,] -0.9477574 8.943545e+00
[270,] -0.7902612 8.958712e+00
[271,] -0.6325125 8.971128e+00
[272,] -0.4745614 8.980789e+00
[273,] -0.3164586 8.987692e+00
[274,] -0.1582546 8.991835e+00
[275,] 0.0000000 8.993216e+00
[276,] 0.1582546 8.991835e+00
[277,] 0.3164586 8.987692e+00
[278,] 0.4745614 8.980789e+00
[279,] 0.6325125 8.971128e+00
[280,] 0.7902612 8.958712e+00
[281,] 0.9477574 8.943545e+00
[282,] 1.1049506 8.925632e+00
[283,] 1.2617907 8.904980e+00
[284,] 1.4182277 8.881593e+00
[285,] 1.5742117 8.855482e+00
[286,] 1.7296933 8.826653e+00
[287,] 1.8846229 8.795117e+00
[288,] 2.0389514 8.760883e+00
[289,] 2.1926298 8.723963e+00
[290,] 2.3456096 8.684368e+00
[291,] 2.4978424 8.642113e+00
[292,] 2.6492802 8.597209e+00
[293,] 2.7998753 8.549673e+00
[294,] 2.9495805 8.499520e+00
[295,] 3.0983486 8.446765e+00
[296,] 3.2461333 8.391425e+00
[297,] 3.3928884 8.333520e+00
[298,] 3.5385682 8.273067e+00
[299,] 3.6831273 8.210086e+00
[300,] 3.8265211 8.144597e+00
[301,] 3.9687051 8.076621e+00
[302,] 4.1096356 8.006181e+00
[303,] 4.2492692 7.933299e+00
[304,] 4.3875630 7.857997e+00
[305,] 4.5244749 7.780302e+00
[306,] 4.6599631 7.700236e+00
[307,] 4.7939864 7.617826e+00
[308,] 4.9265042 7.533098e+00
[309,] 5.0574765 7.446080e+00
[310,] 5.1868639 7.356798e+00
[311,] 5.3146276 7.265281e+00
[312,] 5.4407294 7.171558e+00
[313,] 5.5651316 7.075659e+00
[314,] 5.6877974 6.977614e+00
[315,] 5.8086905 6.877453e+00
[316,] 5.9277751 6.775210e+00
[317,] 6.0450164 6.670915e+00
[318,] 6.1603799 6.564601e+00
[319,] 6.2738320 6.456302e+00
[320,] 6.3853397 6.346052e+00
[321,] 6.4948708 6.233884e+00
[322,] 6.6023935 6.119835e+00
[323,] 6.7078771 6.003939e+00
[324,] 6.8112912 5.886233e+00
[325,] 6.9126063 5.766752e+00
[326,] 7.0117936 5.645534e+00
[327,] 7.1088249 5.522617e+00
[328,] 7.2036730 5.398039e+00
[329,] 7.2963110 5.271837e+00
[330,] 7.3867130 5.144050e+00
[331,] 7.4748538 5.014718e+00
[332,] 7.5607087 4.883881e+00
[333,] 7.6442539 4.751579e+00
[334,] 7.7254664 4.617851e+00
[335,] 7.8043237 4.482739e+00
[336,] 7.8808041 4.346284e+00
[337,] 7.9548868 4.208528e+00
[338,] 8.0265514 4.069511e+00
[339,] 8.0957785 3.929278e+00
[340,] 8.1625493 3.787869e+00
[341,] 8.2268457 3.645328e+00
[342,] 8.2886503 3.501698e+00
[343,] 8.3479466 3.357022e+00
[344,] 8.4047186 3.211344e+00
[345,] 8.4589511 3.064708e+00
[346,] 8.5106297 2.917157e+00
[347,] 8.5597405 2.768737e+00
[348,] 8.6062705 2.619491e+00
[349,] 8.6502074 2.469465e+00
[350,] 8.6915396 2.318703e+00
[351,] 8.7302561 2.167250e+00
[352,] 8.7663468 2.015152e+00
[353,] 8.7998021 1.862455e+00
[354,] 8.8306133 1.709203e+00
[355,] 8.8587722 1.555442e+00
[356,] 8.8842716 1.401219e+00
[357,] 8.9071047 1.246579e+00
[358,] 8.9272656 1.091569e+00
[359,] 8.9447490 9.362335e-01
[360,] 8.9595503 7.806201e-01
[361,] 8.9716658 6.247747e-01
[362,] 8.9810922 4.687435e-01
[363,] 8.9878271 3.125731e-01
[364,] 8.9918687 1.563098e-01
[365,] 8.9932161 5.484173e-16
[366,] -8.4841772 -2.697521e+01
GeoRange documentation built on May 1, 2019, 8:03 p.m.
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Description Usage Arguments Details Value Note References Examples
Description
Function to find points along a horseshoe shape
Usage
1 | PtsAlgHorseShoe(z, spacing = 1, endAngles = c(-90, 90))
|
Arguments
z |
- Distance in kilometers from the center of the horseshoe to its lower boundary |
spacing |
- Degrees between successive point outlining the horseshoe shape |
endAngles |
- Array of values denoting the degree of rotation for the circular part of the horseshoe distribution |
Details
Currently forces use 0,0 as the center, a height 5/4 width, and r2=2*r1 of origin (center)
Value
Returns a 2-dimensional array of decimal degree coordinates outlining a horseshoe shape
Note
Currently only works when endAngles are multiples of -90,90; otherwise rectangle point positions are off
References
[1] From http://mathforum.org/library/drmath/view/51816.html
Examples
1 | PtsAlgHorseShoe(z=2000,spacing=1,endAngles=c(-90,90))
|
Example output
longOut latOut
[1,] -17.9864321 -2.697965e+01
[2,] -17.9864321 1.083351e-15
[3,] -17.9838691 3.087776e-01
[4,] -17.9761805 6.174701e-01
[5,] -17.9633672 9.259924e-01
[6,] -17.9454309 1.234259e+00
[7,] -17.9223739 1.542186e+00
[8,] -17.8941994 1.849687e+00
[9,] -17.8609110 2.156678e+00
[10,] -17.8225132 2.463074e+00
[11,] -17.7790110 2.768789e+00
[12,] -17.7304104 3.073739e+00
[13,] -17.6767179 3.377838e+00
[14,] -17.6179409 3.681002e+00
[15,] -17.5540876 3.983146e+00
[16,] -17.4851667 4.284186e+00
[17,] -17.4111880 4.584036e+00
[18,] -17.3321622 4.882612e+00
[19,] -17.2481005 5.179829e+00
[20,] -17.1590154 5.475604e+00
[21,] -17.0649199 5.769850e+00
[22,] -16.9658283 6.062486e+00
[23,] -16.8617556 6.353425e+00
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