Grid with angles between points \((x, y)\) and the rotor's vertical axis
Source:R/generate_rotor_grids.R
get_phi_grid.RdGiven grids of vertical and horizontal distances from rotor axes
at points \((x, y)\) inside the rotor circle, get_phi_grid
calculates the associated radial angles, relative to the rotor vertical axis.
Returned grid represents the left-half of the rotor's circle.
Arguments
- x_grid
A 2D array, with horizontal distances \(x\) from the rotor's vertical axis, expressed as the proportion of rotor radius, for the left-half of the rotor circle area.
- y_grid
A 2D array, with vertical distances (\(y\) from the rotor's horizontal axis, expressed as the proportion of rotor radius, for the left-half of the rotor circle area.
Value
A 2D array, giving a grid of angles (in radians) between points \((x, y)\) inside the rotor circle and the rotor center, for the left-half of the rotor circle area.
Examples
x_grid <- get_x_grid(yinc=0.05, xinc=0.05)
y_grid <- get_y_grid(x_grid,yinc=0.05)
get_phi_grid(x_grid,y_grid)
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] 3.141593 NA NA NA NA NA NA
#> [2,] 3.141593 3.08900959 3.0367157 2.9849908 2.9340964 2.8842689 2.8357138
#> [3,] 3.141593 3.08609415 3.0309354 2.9764440 2.9229237 2.8706458 2.8198421
#> [4,] 3.141593 3.08283683 3.0244839 2.9669205 2.9105020 2.8555412 2.8023000
#> [5,] 3.141593 3.07917384 3.0172377 2.9562447 2.8966140 2.8387078 2.7828220
#> [6,] 3.141593 3.07502449 3.0090411 2.9441971 2.8809903 2.8198421 2.7610863
#> [7,] 3.141593 3.07028519 2.9996956 2.9304993 2.8632930 2.7985687 2.7367009
#> [8,] 3.141593 3.06482076 2.9889433 2.9147938 2.8430937 2.7744188 2.7091849
#> [9,] 3.141593 3.05845142 2.9764440 2.8966140 2.8198421 2.7468015 2.6779450
#> [10,] 3.141593 3.05093277 2.9617392 2.8753406 2.7928217 2.7149652 2.6422459
#> [11,] 3.141593 3.04192400 2.9441971 2.8501359 2.7610863 2.6779450 2.6011732
#> [12,] 3.141593 3.03093543 2.9229237 2.8198421 2.7233683 2.6344941 2.5535901
#> [13,] 3.141593 3.01723766 2.8966140 2.7828220 2.6779450 2.5829933 2.4980915
#> [14,] 3.141593 2.99969560 2.8632930 2.7367009 2.6224465 2.5213432 2.4329664
#> [15,] 3.141593 2.97644398 2.8198421 2.6779450 2.5535901 2.4468544 2.3561945
#> [16,] 3.141593 2.94419709 2.7610863 2.6011732 2.4668517 2.3561945 2.2655346
#> [17,] 3.141593 2.89661399 2.6779450 2.4980915 2.3561945 2.2455373 2.1587989
#> [18,] 3.141593 2.81984210 2.5535901 2.3561945 2.2142974 2.1112158 2.0344439
#> [19,] 3.141593 2.67794504 2.3561945 2.1587989 2.0344439 1.9513027 1.8925469
#> [20,] 3.141593 2.35619449 2.0344439 1.8925469 1.8157750 1.7681919 1.7359450
#> [21,] NaN 1.57079633 1.5707963 1.5707963 1.5707963 1.5707963 1.5707963
#> [22,] 0.000000 0.78539816 1.1071487 1.2490458 1.3258177 1.3734008 1.4056476
#> [23,] 0.000000 0.46364761 0.7853982 0.9827937 1.1071487 1.1902899 1.2490458
#> [24,] 0.000000 0.32175055 0.5880026 0.7853982 0.9272952 1.0303768 1.1071487
#> [25,] 0.000000 0.24497866 0.4636476 0.6435011 0.7853982 0.8960554 0.9827937
#> [26,] 0.000000 0.19739556 0.3805064 0.5404195 0.6747409 0.7853982 0.8760581
#> [27,] 0.000000 0.16514868 0.3217506 0.4636476 0.5880026 0.6947383 0.7853982
#> [28,] 0.000000 0.14189705 0.2782997 0.4048918 0.5191461 0.6202495 0.7086263
#> [29,] 0.000000 0.12435499 0.2449787 0.3587707 0.4636476 0.5585993 0.6435011
#> [30,] 0.000000 0.11065722 0.2186689 0.3217506 0.4182243 0.5070985 0.5880026
#> [31,] 0.000000 0.09966865 0.1973956 0.2914568 0.3805064 0.4636476 0.5404195
#> [32,] 0.000000 0.09065989 0.1798535 0.2662520 0.3487710 0.4266275 0.4993467
#> [33,] 0.000000 0.08314123 0.1651487 0.2449787 0.3217506 0.3947911 0.4636476
#> [34,] 0.000000 0.07677189 0.1526493 0.2267988 0.2984989 0.3671738 0.4324078
#> [35,] 0.000000 0.07130746 0.1418971 0.2110933 0.2782997 0.3430239 0.4048918
#> [36,] 0.000000 0.06656816 0.1325515 0.1973956 0.2606024 0.3217506 0.3805064
#> [37,] 0.000000 0.06241881 0.1243550 0.1853479 0.2449787 0.3028849 0.3587707
#> [38,] 0.000000 0.05875582 0.1171087 0.1746722 0.2310907 0.2860514 0.3392926
#> [39,] 0.000000 0.05549851 0.1106572 0.1651487 0.2186689 0.2709469 0.3217506
#> [40,] 0.000000 0.05258306 0.1048769 0.1566019 0.2074962 0.2573237 0.3058789
#> [41,] 0.000000 NA NA NA NA NA NA
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] NA NA NA NA NA NA NA
#> [2,] 2.8240322 NA NA NA NA NA NA
#> [3,] 2.7707014 2.7233683 2.6905658 NA NA NA NA
#> [4,] 2.7509856 2.7017501 2.6546934 2.6098686 2.5867816 NA NA
#> [5,] 2.7291822 2.6779450 2.6292032 2.5829933 2.5393053 2.4980915 NA
#> [6,] 2.7049655 2.6516353 2.6011732 2.5535901 2.5088438 2.4668517 2.4275020
#> [7,] 2.6779450 2.6224465 2.5702552 2.5213432 2.4756234 2.4329664 2.3932146
#> [8,] 2.6476513 2.5899377 2.5360480 2.4858970 2.4393357 2.3961732 2.3561945
#> [9,] 2.6135182 2.5535901 2.4980915 2.4468544 2.3996454 2.3561945 2.3162158
#> [10,] 2.5748634 2.5127964 2.4558631 2.4037776 2.3561945 2.3127436 2.2730533
#> [11,] 2.5308667 2.4668517 2.4087776 2.3561945 2.3086114 2.2655346 2.2264920
#> [12,] 2.4805495 2.4149503 2.3561945 2.3036114 2.2565258 2.2142974 2.1763410
#> [13,] 2.4227627 2.3561945 2.2974387 2.2455373 2.1995926 2.1587989 2.1224513
#> [14,] 2.3561945 2.2896263 2.2318395 2.1815223 2.1375255 2.0988708 2.0647377
#> [15,] 2.2794226 2.2142974 2.1587989 2.1112158 2.0701430 2.0344439 2.0032041
#> [16,] 2.1910458 2.1293956 2.0778948 2.0344439 1.9974238 1.9655874 1.9379702
#> [17,] 2.0899424 2.0344439 1.9890207 1.9513027 1.9195673 1.8925469 1.8692953
#> [18,] 1.9756881 1.9295670 1.8925469 1.8622531 1.8370484 1.8157750 1.7975952
#> [19,] 1.8490960 1.8157750 1.7894653 1.7681919 1.7506498 1.7359450 1.7234457
#> [20,] 1.7126934 1.6951513 1.6814535 1.6704650 1.6614562 1.6539376 1.6475682
#> [21,] 1.5707963 1.5707963 1.5707963 1.5707963 1.5707963 1.5707963 1.5707963
#> [22,] 1.4288993 1.4464413 1.4601391 1.4711277 1.4801364 1.4876551 1.4940244
#> [23,] 1.2924967 1.3258177 1.3521274 1.3734008 1.3909428 1.4056476 1.4181470
#> [24,] 1.1659045 1.2120257 1.2490458 1.2793395 1.3045443 1.3258177 1.3439975
#> [25,] 1.0516502 1.1071487 1.1525720 1.1902899 1.2220253 1.2490458 1.2722974
#> [26,] 0.9505468 1.0121970 1.0636978 1.1071487 1.1441688 1.1760052 1.2036225
#> [27,] 0.8621701 0.9272952 0.9827937 1.0303768 1.0714496 1.1071487 1.1383886
#> [28,] 0.7853982 0.8519663 0.9097532 0.9600704 1.0040671 1.0427219 1.0768550
#> [29,] 0.7188300 0.7853982 0.8441540 0.8960554 0.9420000 0.9827937 1.0191413
#> [30,] 0.6610432 0.7266423 0.7853982 0.8379812 0.8850668 0.9272952 0.9652517
#> [31,] 0.6107260 0.6747409 0.7328151 0.7853982 0.8329813 0.8760581 0.9151007
#> [32,] 0.5667292 0.6287963 0.6857295 0.7378151 0.7853982 0.8288491 0.8685394
#> [33,] 0.5280744 0.5880026 0.6435011 0.6947383 0.7419473 0.7853982 0.8253769
#> [34,] 0.4939414 0.5516550 0.6055447 0.6556956 0.7022569 0.7454195 0.7853982
#> [35,] 0.4636476 0.5191461 0.5713375 0.6202495 0.6659692 0.7086263 0.7483780
#> [36,] 0.4366272 0.4899573 0.5404195 0.5880026 0.6327488 0.6747409 0.7140907
#> [37,] 0.4124104 0.4636476 0.5123895 0.5585993 0.6022873 0.6435011 NA
#> [38,] 0.3906070 0.4398426 0.4868992 0.5317241 0.5548110 NA NA
#> [39,] 0.3708913 0.4182243 0.4510268 NA NA NA NA
#> [40,] 0.3175604 NA NA NA NA NA NA
#> [41,] NA NA NA NA NA NA NA
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] NA NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA NA
#> [6,] 2.4188584 NA NA NA NA NA NA
#> [7,] 2.3561945 2.3461938 NA NA NA NA NA
#> [8,] 2.3191744 2.2848870 2.2783808 NA NA NA NA
#> [9,] 2.2794226 2.2455373 2.2142974 2.2142974 NA NA NA
#> [10,] 2.2367656 2.2035452 2.1730837 2.1531606 NA NA NA
#> [11,] 2.1910458 2.1587989 2.1293956 2.1025204 2.094395 NA NA
#> [12,] 2.1421338 2.1112158 2.0831858 2.0576956 2.037562 NA NA
#> [13,] 2.0899424 2.0607537 2.0344439 2.0106389 1.989021 1.982313 NA
#> [14,] 2.0344439 2.0074235 1.9832068 1.9614034 1.941688 1.928367 NA
#> [15,] 1.9756881 1.9513027 1.9295670 1.9100889 1.892547 1.876675 1.875489
#> [16,] 1.9138203 1.8925469 1.8736812 1.8568478 1.841743 1.828120 1.823477
#> [17,] 1.8490960 1.8313987 1.8157750 1.8018870 1.789465 1.778293 1.772154
#> [18,] 1.7818897 1.7681919 1.7561443 1.7454685 1.735945 1.727398 1.721365
#> [19,] 1.7126934 1.7033479 1.6951513 1.6879051 1.681454 1.675673 1.670964
#> [20,] 1.6421038 1.6373645 1.6332151 1.6295521 1.626295 1.623379 1.620817
#> [21,] 1.5707963 1.5707963 1.5707963 1.5707963 1.570796 1.570796 1.570796
#> [22,] 1.4994889 1.5042282 1.5083775 1.5120405 1.515298 1.518213 1.520775
#> [23,] 1.4288993 1.4382448 1.4464413 1.4536876 1.460139 1.465919 1.470629
#> [24,] 1.3597030 1.3734008 1.3854484 1.3961241 1.405648 1.414194 1.420228
#> [25,] 1.2924967 1.3101939 1.3258177 1.3397057 1.352127 1.363300 1.369438
#> [26,] 1.2277724 1.2490458 1.2679115 1.2847449 1.299849 1.313473 1.318116
#> [27,] 1.1659045 1.1902899 1.2120257 1.2315037 1.249046 1.264917 1.266104
#> [28,] 1.1071487 1.1341692 1.1583859 1.1801893 1.199905 1.213225 NA
#> [29,] 1.0516502 1.0808390 1.1071487 1.1309537 1.152572 1.159279 NA
#> [30,] 0.9994588 1.0303768 1.0584069 1.0838971 1.104031 NA NA
#> [31,] 0.9505468 0.9827937 1.0121970 1.0390723 1.047198 NA NA
#> [32,] 0.9048271 0.9380475 0.9685090 0.9884321 NA NA NA
#> [33,] 0.8621701 0.8960554 0.9272952 NA NA NA NA
#> [34,] 0.8224183 0.8567056 0.8632119 NA NA NA NA
#> [35,] 0.7853982 0.7953988 NA NA NA NA NA
#> [36,] 0.7227342 NA NA NA NA NA NA
#> [37,] NA NA NA NA NA NA NA
#> [38,] NA NA NA NA NA NA NA
#> [39,] NA NA NA NA NA NA NA
#> [40,] NA NA NA NA NA NA NA
#> [41,] NA NA NA NA NA NA NA