Calculate the angle of each edge relative to the x-axis.
Value
If
xis a single matrix: returns a numeric vector of angles (in radians)If
xis a list: returns a list of numeric vectorsIf
xis a tibble: returns a list of numeric vectors extracted from coo column
Details
For each edge from point i to point i+1, calculates the angle relative to
the x-axis. Returns angles in radians (-pi, pi).
This is a vector, not a scalar, so cannot be used with measure().
Examples
get_angle_tangent(shapes$cat)
#> [1] -2.1587989 0.0000000 -0.3217506 -1.1071487 -2.2455373 3.1415927
#> [7] -2.9764440 3.1415927 3.1415927 2.9764440 3.1415927 3.1415927
#> [13] 3.1415927 3.1415927 2.9764440 -2.3561945 -1.7681919 -1.1071487
#> [19] -0.7853982 -0.3217506 -0.3217506 -0.1651487 -0.1651487 0.0000000
#> [25] 0.1651487 0.1651487 0.1651487 0.0000000 -0.5404195 -2.5535901
#> [31] -2.8198421 -2.8198421 -2.9764440 -2.9764440 3.1415927 3.1415927
#> [37] 2.9764440 2.9764440 2.7610863 2.6779450 2.4468544 2.1587989
#> [43] 2.0344439 1.5707963 1.5707963 1.2490458 1.1071487 1.4056476
#> [49] 1.5707963 1.7681919 1.7359450 1.5707963 1.7359450 1.5707963
#> [55] 1.5707963 1.4056476 1.5707963 1.2490458 1.1071487 1.1071487
#> [61] 1.1902899 0.9827937 0.8760581 0.7853982 0.4636476 0.3217506
#> [67] 0.4636476 0.6947383 0.8760581 1.1071487 1.5707963 1.4056476
#> [73] 1.2490458 1.1071487 0.6947383 0.5880026 1.1071487 0.9827937
#> [79] 0.7853982 -0.8960554 -1.4056476 -1.5707963 -1.1071487 -0.4636476
#> [85] -0.6747409 -0.7853982 -0.6747409 -1.7359450 -2.1587989 -2.4468544
#> [91] -2.1112158 -1.5707963 -1.3734008 -1.4056476 -1.5707963 -1.5707963
#> [97] -1.5707963 -1.8925469 -2.1587989 -2.1587989 -2.0344439 -1.8925469
#> [103] -1.7359450 -1.5707963 -1.5707963 -1.5707963 -1.5707963 -1.5707963
#> [109] -1.4056476 -1.1902899 -0.3217506 -1.1902899 -1.8925469 -2.5535901
#> [115] 3.1415927 2.8198421 2.2655346 2.1587989 1.8925469 -2.1587989
get_angle_tangent(shapes)
#> $cat
#> [1] -2.1587989 0.0000000 -0.3217506 -1.1071487 -2.2455373 3.1415927
#> [7] -2.9764440 3.1415927 3.1415927 2.9764440 3.1415927 3.1415927
#> [13] 3.1415927 3.1415927 2.9764440 -2.3561945 -1.7681919 -1.1071487
#> [19] -0.7853982 -0.3217506 -0.3217506 -0.1651487 -0.1651487 0.0000000
#> [25] 0.1651487 0.1651487 0.1651487 0.0000000 -0.5404195 -2.5535901
#> [31] -2.8198421 -2.8198421 -2.9764440 -2.9764440 3.1415927 3.1415927
#> [37] 2.9764440 2.9764440 2.7610863 2.6779450 2.4468544 2.1587989
#> [43] 2.0344439 1.5707963 1.5707963 1.2490458 1.1071487 1.4056476
#> [49] 1.5707963 1.7681919 1.7359450 1.5707963 1.7359450 1.5707963
#> [55] 1.5707963 1.4056476 1.5707963 1.2490458 1.1071487 1.1071487
#> [61] 1.1902899 0.9827937 0.8760581 0.7853982 0.4636476 0.3217506
#> [67] 0.4636476 0.6947383 0.8760581 1.1071487 1.5707963 1.4056476
#> [73] 1.2490458 1.1071487 0.6947383 0.5880026 1.1071487 0.9827937
#> [79] 0.7853982 -0.8960554 -1.4056476 -1.5707963 -1.1071487 -0.4636476
#> [85] -0.6747409 -0.7853982 -0.6747409 -1.7359450 -2.1587989 -2.4468544
#> [91] -2.1112158 -1.5707963 -1.3734008 -1.4056476 -1.5707963 -1.5707963
#> [97] -1.5707963 -1.8925469 -2.1587989 -2.1587989 -2.0344439 -1.8925469
#> [103] -1.7359450 -1.5707963 -1.5707963 -1.5707963 -1.5707963 -1.5707963
#> [109] -1.4056476 -1.1902899 -0.3217506 -1.1902899 -1.8925469 -2.5535901
#> [115] 3.1415927 2.8198421 2.2655346 2.1587989 1.8925469 -2.1587989
#>
#> $dog
#> [1] -2.9764440 2.9996956 3.1415927 2.9996956 2.9764440 -2.9764440
#> [7] -2.2794226 -2.1587989 -2.3561945 -2.5535901 -2.4468544 -2.2794226
#> [13] -2.0344439 -1.8925469 -1.0516502 -1.1902899 -2.8632930 3.1415927
#> [19] 2.4668517 1.7126934 1.5707963 1.5707963 1.5707963 1.1071487
#> [25] 0.7853982 0.8760581 1.2924967 -2.1112158 -2.3561945 -2.5213432
#> [31] -2.6779450 1.1659045 0.8760581 1.4056476 1.2924967 1.5707963
#> [37] 1.4056476 1.7126934 1.4056476 1.4288993 1.1071487 0.9827937
#> [43] 0.7853982 0.4636476 0.2782997 0.1651487 0.0000000 0.1418971
#> [49] 0.0000000 0.0000000 0.0000000 0.0000000 -0.1418971 0.0000000
#> [55] 0.1418971 0.0000000 0.3217506 0.2782997 0.5880026 0.7853982
#> [61] 0.9505468 0.9827937 1.0516502 1.2490458 1.1071487 1.2924967
#> [67] 0.7853982 0.4048918 0.0000000 0.0000000 -0.6202495 -0.8760581
#> [73] -0.2782997 0.0000000 0.0000000 -1.2924967 -1.5707963 -1.7126934
#> [79] -2.4668517 -2.8198421 3.1415927 -2.8198421 -1.8490960 -2.0344439
#> [85] -1.8925469 -1.9756881 -1.8925469 -1.8925469 -1.5707963 -1.8925469
#> [91] -1.7126934 -1.7359450 -2.0344439 -1.9756881 -1.7359450 -1.5707963
#> [97] -1.5707963 -1.5707963 -1.4288993 -1.5707963 -1.4288993 -0.5880026
#> [103] -1.0303768 -2.6224465 -2.9764440 2.3561945 1.7359450 1.7359450
#> [109] 1.8490960 2.0344439 1.8925469 1.9756881 2.0344439 2.4468544
#> [115] 2.9764440 3.1415927 3.1415927 2.9764440 3.1415927 3.1415927
#>
#> $heart
#> [1] 2.3561945 1.8925469 2.2455373 2.2142974 2.3561945 2.3561945
#> [7] 2.3561945 2.4668517 2.4980915 2.4668517 2.6011732 2.4980915
#> [13] 2.6011732 2.6011732 2.6779450 2.6011732 2.4980915 2.4668517
#> [19] 2.4668517 2.3561945 2.3561945 2.2142974 2.1112158 1.9513027
#> [25] 2.0344439 1.7681919 1.8157750 1.5707963 1.5707963 1.5707963
#> [31] 1.5707963 1.5707963 1.3734008 1.1902899 1.3258177 1.1902899
#> [37] 1.0303768 0.9272952 1.0303768 0.7853982 0.6747409 0.5404195
#> [43] 0.4636476 0.3805064 0.2449787 0.1973956 0.0000000 0.0000000
#> [49] -0.1973956 -0.2449787 -0.3805064 -0.3805064 -0.6435011 -0.6747409
#> [55] -0.6435011 -0.8960554 -0.8960554 -0.9272952 -1.1902899 -0.9827937
#> [61] 1.1071487 1.0303768 0.9272952 0.8960554 0.7853982 0.7853982
#> [67] 0.5404195 0.4636476 0.3805064 0.3805064 0.0000000 0.1973956
#> [73] 0.0000000 0.0000000 -0.1973956 -0.2449787 -0.5404195 -0.4636476
#> [79] -0.5404195 -0.7853982 -0.7853982 -0.8960554 -1.1071487 -1.1902899
#> [85] -1.1902899 -1.3258177 -1.3734008 -1.3734008 -1.3258177 -1.7681919
#> [91] -1.5707963 -1.5707963 -1.5707963 -2.0344439 -1.7681919 -2.0344439
#> [97] -2.1112158 -2.2455373 -2.3561945 -2.3561945 -2.4980915 -2.4668517
#> [103] -2.4668517 -2.6779450 -2.6011732 -2.4980915 -2.6011732 -2.6011732
#> [109] -2.4980915 -2.4668517 -2.4668517 -2.3561945 -2.4668517 -2.3561945
#> [115] -2.3561945 -2.2455373 -2.2142974 -2.1112158 -2.0344439 2.3561945
#>
#> $leaf2
#> [1] -1.5707963 -1.7359450 -1.8490960 -1.7359450 -1.8490960 -2.0899424
#> [7] -2.8198421 2.4668517 0.9827937 1.0516502 1.2924967 1.4056476
#> [13] 1.4288993 1.4056476 1.5707963 -2.8198421 -2.8632930 -2.9996956
#> [19] 3.1415927 2.9996956 3.1415927 2.8632930 2.8632930 2.8198421
#> [25] 2.7367009 1.3734008 0.8621701 0.7853982 1.1902899 2.6224465
#> [31] 2.5535901 2.5213432 2.3561945 1.3734008 0.4048918 0.4636476
#> [37] 2.1910458 2.2655346 2.0899424 2.0899424 1.5707963 0.0000000
#> [43] -0.1651487 -0.1418971 0.2449787 1.4056476 0.6747409 -0.4636476
#> [49] -0.6202495 -0.6202495 -0.7853982 0.7853982 1.8925469 1.8490960
#> [55] 1.8490960 1.7359450 1.5707963 1.2490458 -0.1418971 -0.3217506
#> [61] -0.2782997 1.5707963 1.4056476 1.2924967 1.2490458 1.0516502
#> [67] 0.7853982 -0.6947383 -1.0516502 -1.2490458 -1.2924967 -1.5707963
#> [73] -1.4056476 0.1651487 0.3217506 0.1418971 -1.1071487 -1.5707963
#> [79] -1.7126934 -1.7359450 -1.8490960 -1.9756881 -1.5707963 0.7853982
#> [85] 0.6947383 0.6202495 0.4636476 -0.4636476 -1.4288993 -0.5880026
#> [91] 0.2782997 0.1651487 0.0000000 -1.5707963 -1.8925469 -2.1910458
#> [97] -2.1587989 -2.1910458 -0.7853982 -0.3217506 -1.4056476 -2.2655346
#> [103] -2.4329664 -2.6224465 -2.5535901 -1.3734008 -0.7853982 -0.8621701
#> [109] -1.1071487 -2.7367009 -2.8632930 -2.8198421 -2.8632930 3.1415927
#> [115] -2.9996956 3.1415927 2.9764440 2.8632930 2.9764440 -1.7126934
#>
