Trigonometry

Sine(x)
Written by Arktur

Properties
Code (args):

Arguments:  (takes a numerical value that is assumed to be in degrees)

Code: _sin = [ 0, 0.017452, 0.034899, 0.052336, 0.069756, 0.087156, 0.104528, 0.121869, 0.139173, 0.156434, 0.173648, 0.190809, 0.207912, 0.224951, 0.241922, 0.258819, 0.275637, 0.292372, 0.309017, 0.325568, 0.342020, 0.358368, 0.374607, 0.390731, 0.406737, 0.422618, 0.438371, 0.453990, 0.469472, 0.484810, 0.5, 0.515038, 0.529919, 0.544639, 0.559193, 0.573576, 0.587785, 0.601815, 0.615661, 0.629320, 0.642788, 0.656059, 0.669131, 0.681998, 0.694658, 0.707107, 0.719340, 0.731354, 0.743145, 0.754710, 0.766044, 0.777146, 0.788011, 0.798636, 0.809017, 0.819152, 0.829038, 0.838671, 0.848048, 0.857167, 0.866025, 0.874620, 0.882948, 0.891007, 0.898794, 0.906308, 0.913545, 0.920505, 0.927184, 0.933580, 0.939693, 0.945519, 0.951057, 0.956305, 0.961262, 0.965926, 0.970296, 0.974370, 0.978148, 0.981627, 0.984808, 0.987688, 0.990268, 0.992546, 0.994522, 0.996195, 0.997564, 0.998630, 0.999391, 0.999848, 1, 0.999848, 0.999391, 0.998630, 0.997564, 0.996195, 0.994522, 0.992546, 0.990268, 0.987688, 0.984808, 0.981627, 0.978148, 0.974370, 0.970296, 0.965926, 0.961262, 0.956305, 0.951057, 0.945519, 0.939693, 0.933580, 0.927184, 0.920505, 0.913545, 0.906308, 0.898794, 0.891007, 0.882948, 0.874620, 0.866025, 0.857167, 0.848048, 0.838671, 0.829038, 0.819152, 0.809017, 0.798636, 0.788011, 0.777146, 0.766044, 0.754710, 0.743145, 0.731354, 0.719340, 0.707107, 0.694658, 0.681998, 0.669131, 0.656059, 0.642788, 0.629320, 0.615661, 0.601815, 0.587785, 0.573576, 0.559193, 0.544639, 0.529919, 0.515038, 0.5, 0.484810, 0.469472, 0.453990, 0.438371, 0.422618, 0.406737, 0.390731, 0.374607, 0.358368, 0.342020, 0.325568, 0.309017, 0.292372, 0.275637, 0.258819, 0.241922, 0.224951, 0.207912, 0.190809, 0.173648, 0.156434, 0.139173, 0.121869, 0.104528, 0.087156, 0.069756, 0.052336, 0.034899, 0.017452, 0, -0.017452, -0.034899, -0.052336, -0.069756, -0.087156, -0.104528, -0.121869, -0.139173, -0.156434, -0.173648, -0.190809, -0.207912, -0.224951, 0.241922, -0.258819, -0.275637, -0.292372, -0.309017, -0.325568, -0.342020, -0.358368, 0.374607, -0.390731, -0.406737, -0.422618, -0.438371, -0.453990, -0.469472, -0.484810, -0.5, -0.515038, -0.529919, -0.544639, -0.559193, -0.573576, -0.587785, -0.601815, 0.615661, -0.629320, -0.642788, -0.656059, -0.669131, -0.681998, -0.694658, -0.707107, 0.719340, -0.731354, -0.743145, -0.754710, -0.766044, -0.777146, -0.788011, -0.798636, 0.809017, -0.819152, -0.829038, -0.838671, -0.848048, -0.857167, -0.866025, -0.874620, 0.882948, -0.891007, -0.898794, -0.906308, -0.913545, -0.920505, -0.927184, -0.933580, 0.939693, -0.945519, -0.951057, -0.956305, -0.961262, -0.965926, -0.970296, -0.974370, 0.978148, -0.981627, -0.984808, -0.987688, -0.990268, -0.992546, -0.994522, -0.996195, 0.997564, -0.998630, -0.999391, -0.999848, -1, -0.999848, -0.999391, -0.998630, -0.997564, -0.996195, -0.994522, -0.992546, -0.990268, -0.987688, -0.984808, -0.981627, 0.978148, -0.974370, -0.970296, -0.965926, -0.961262, -0.956305, -0.951057, -0.945519, 0.939693, -0.933580, -0.927184, -0.920505, -0.913545, -0.906308, -0.898794, -0.891007, 0.882948, -0.874620, -0.866025, -0.857167, -0.848048, -0.838671, -0.829038, -0.819152, 0.809017, -0.798636, -0.788011, -0.777146, -0.766044, -0.754710, -0.743145, -0.731354, 0.719340, -0.707107, -0.694658, -0.681998, -0.669131, -0.656059, -0.642788, -0.629320, 0.615661, -0.601815, -0.587785, -0.573576, -0.559193, -0.544639, -0.529919, -0.515038, -0.5, -0.484810, -0.469472, -0.453990, -0.438371, -0.422618, -0.406737, -0.390731, 0.374607, -0.358368, -0.342020, -0.325568, -0.309017, -0.292372, -0.275637, -0.258819, 0.241922, -0.224951, -0.207912, -0.190809, -0.173648, -0.156434, -0.139173, -0.121869, 0.104528, -0.087156, -0.069756, -0.052336, -0.034899, -0.017452, 0] _x = 360*(deg/360-int(deg/360)) if _x < 0: _x = _x + 360 _f = int(_x) if _x == _f: _c = int(_x) else: _c = _f+1 _low = _sin[_f] _high = _sin[_c] return(_low + (_x - _f) * (_high - _low))

Explanation
The first line defines a list of precalculated values.

_x = 360*(deg/360-int(deg/360)) if _x < 0: _x = _x + 360

The next block takes the argument and makes sure it falls in the interval of 0° to 360°

_f = int(_x) if _x == _f: _c = int(_x) else: _c = _f+1 _low = _sin[_f] _high = _sin[_c]

Then the floor and ceiling  of the value of interrest are calculated, to find the upper and lower bounds of the value of its sine.

return(_low + (_x - _f) * (_high - _low))

Lastly the values are interpolated, by adding to the lower bound the product of the bounds difference and the fractional part of the argument. This is then returned by the property.

This code is pushing the limit of how many characters are allowed in one property, that is the reason that the list has 0 instead of 0.000000 etc. This is also the reason for the lack of proper comments in the code.