# orthogonal_rotation
rotates a point "orthogonally" around the origin
which I can't think of a good defintion for what I mean by "orthogonally".
But right now the best way to describe it is to show how it affects a set of points
An array of points
(the position in the array represents its cartesian coordinates)
> 100 101 102 103 104 105 106 107 108 <br/>
> 109 110 111 112 113 114 115 116 117 <br/>
> 118 119 120 121 122 123 124 125 126 <br/>
> 127 128 129 130 131 132 133 134 135 <br/>
> 136 137 138 139 140 141 142 143 144 <br/>
> 145 146 147 148 149 150 151 152 153 <br/>
> 154 155 156 157 158 159 160 161 162 <br/>
> 163 164 165 166 167 168 169 170 171 <br/>
> 172 173 174 175 176 177 178 179 180 <br/>
rotated with value 140 representing the center, with the value 0.25
it rotates the array 90 degrees counterclockwise
> 108 117 126 135 144 153 162 171 180 <br/>
> 107 116 125 134 143 152 161 170 179 <br/>
> 106 115 124 133 142 151 160 169 178 <br/>
> 105 114 123 132 141 150 159 168 177 <br/>
> 104 113 122 131 140 149 158 167 176 <br/>
> 103 112 121 130 139 148 157 166 175 <br/>
> 102 111 120 129 138 147 156 165 174 <br/>
> 101 110 119 128 137 146 155 164 173 <br/>
> 100 109 118 127 136 145 154 163 172 <br/>
Or rotated with 140 as the center with the value 0.125
it rotates the array so the diagonals become the x and y axis lines of the axis clockwise of them (the list of points 100, 110, 120 that
used to go through the top left to bottom right diagonal now go left to right)
> 104 105 106 107 108 117 126 135 144 <br/>
> 103 113 114 115 116 125 134 143 153 <br/>
> 102 112 122 123 124 133 142 152 162 <br/>
> 101 111 121 131 132 141 151 161 171 <br/>
> 100 110 120 130 140 150 160 170 180 <br/>
> 109 119 129 139 148 149 159 169 179 <br/>
> 118 128 138 147 156 157 158 168 178 <br/>
> 127 137 146 155 164 165 166 167 177 <br/>
> 136 145 154 163 172 173 174 175 176 <br/>
Or at odder angles like 0.0287
which shifts each point 2 units clockwise while maintaining the same ( x + y instead of sqrt(x^2 + y^2) ) distance from the origin
> 102 103 104 105 106 107 108 117 126 <br/>
> 101 111 112 113 114 115 116 125 135 <br/>
> 100 110 121 122 123 124 133 134 144 <br/>
> 109 119 120 130 131 132 142 143 153 <br/>
> 118 128 129 139 140 141 151 152 162 <br/>
> 127 137 138 148 149 150 160 161 171 <br/>
> 136 146 147 156 157 158 159 170 180 <br/>
> 145 155 164 165 166 167 168 169 179 <br/>
> 154 163 172 173 174 175 176 177 178 <br/>
I made this for my chess game so that each of the 64 squares can be rotated an amount
and each square if rotated the same amount, will be mapped to a square that none of the other squares are mapped to
and it does some things in a way that are useful for my game