mirror of
https://github.com/Ttanasart-pt/Pixel-Composer.git
synced 2024-12-26 15:06:22 +01:00
284 lines
No EOL
7.3 KiB
Text
284 lines
No EOL
7.3 KiB
Text
//curve format [-cx0, -cy0, x0, y0, +cx0, +cy0, -cx1, -cy1, x1, y1, +cx1, +cy1]
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//segment format [y0, +cx0, +cy0, -cx1, -cy1, y1]
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#macro CURVE_DEF_00 [0, 1, /**/ 0, 0, 0, 0, 1/3, 0, /**/ -1/3, 0, 1, 0, 0, 0]
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#macro CURVE_DEF_01 [0, 1, /**/ 0, 0, 0, 0, 1/3, 1/3, /**/ -1/3, -1/3, 1, 1, 0, 0]
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#macro CURVE_DEF_10 [0, 1, /**/ 0, 0, 0, 1, 1/3, -1/3, /**/ -1/3, 1/3, 1, 0, 0, 0]
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#macro CURVE_DEF_11 [0, 1, /**/ 0, 0, 0, 1, 1/3, 0, /**/ -1/3, 0, 1, 1, 0, 0]
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//////////////////////////////////////////////////////////////////////////////////////////// DRAW ////////////////////////////////////////////////////////////////////////////////////////////
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function eval_curve_segment_t_position(_t, bbz) {
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var _t2 = _t * _t;
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var _t3 = _t * _t * _t;
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var _T = 1 - _t;
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var _T2 = _T * _T;
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var _T3 = _T * _T * _T;
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return [
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_T3 * 0
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+ 3 * _T2 * _t * bbz[1]
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+ 3 * _T * _t2 * bbz[3]
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+ _t3 * 1,
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_T3 * bbz[0]
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+ 3 * _T2 * _t * bbz[2]
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+ 3 * _T * _t2 * bbz[4]
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+ _t3 * bbz[5]
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];
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}
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function draw_curve(x0, y0, _w, _h, _bz, minx = 0, maxx = 1, miny = 0, maxy = 1, _shift = 0, _scale = 1) {
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var _amo = array_length(_bz);
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var _shf = _amo % 6;
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var segments = (_amo - _shf) / 6 - 1;
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var _ox, _oy;
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var rngx = maxx - minx;
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var rngy = maxy - miny;
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for( var i = 0; i < segments; i++ ) {
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var ind = _shf + i * 6;
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var _x0 = _bz[ind + 2];
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var _y0 = _bz[ind + 3];
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var _x1 = _bz[ind + 6 + 2];
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var _y1 = _bz[ind + 6 + 3];
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var _xr = _x1 - _x0;
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var _yr = _y1 - _y0;
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var smp = max(abs(_yr) * _h / 2, ceil(_xr / rngx * 32));
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if(i == 0) {
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var _rx = _x0 * _scale + _shift;
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var _ry = _y0;
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_rx = ( _rx - minx ) / rngx;
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_ry = ( _ry - miny ) / rngy;
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var _nx = x0 + _w * _rx;
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var _ny = y0 + _h * (1 - _ry);
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draw_line(x0, _ny, _nx, _ny);
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}
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if(i == segments - 1) {
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var _rx = _x1 * _scale + _shift;
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var _ry = _y1;
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_rx = ( _rx - minx ) / rngx;
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_ry = ( _ry - miny ) / rngy;
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var _nx = x0 + _w * _rx;
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var _ny = y0 + _h * (1 - _ry);
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draw_line(x0 + _w, _ny, _nx, _ny);
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}
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var ax0 = _bz[ind + 4] + _x0;
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var ay0 = _bz[ind + 5] + _y0;
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var bx1 = _bz[ind + 6 + 0] + _x1;
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var by1 = _bz[ind + 6 + 1] + _y1;
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var bbz = [ _y0, ax0, ay0, bx1, by1, _y1 ];
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// print($"{i}, {bbz}")
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for(var j = 0; j <= smp; j++) {
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var t = j / smp;
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var _r = eval_curve_segment_t_position(t, bbz);
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var _rx = _r[0] * _xr + _x0;
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var _ry = _r[1];
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_rx = _rx * _scale + _shift;
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_rx = ( _rx - minx ) / rngx;
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_ry = ( _ry - miny ) / rngy;
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var _nx = x0 + _w * _rx;
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var _ny = y0 + _h * (1 - _ry);
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if(j) draw_line(_ox, _oy, _nx, _ny);
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_ox = _nx;
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_oy = _ny;
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if(_nx > x0 + _w) return;
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}
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}
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}
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//////////////////////////////////////////////////////////////////////////////////////////// EVAL ////////////////////////////////////////////////////////////////////////////////////////////
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function eval_curve_segment_t(_bz, t) {
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// if(_bz[1] == 0 && _bz[2] == 0 && _bz[3] == 0 && _bz[4] == 0)
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// return lerp(_bz[0], _bz[5], t);
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return power(1 - t, 3) * _bz[0]
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+ 3 * power(1 - t, 2) * t * _bz[2]
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+ 3 * (1 - t) * power(t, 2) * _bz[4]
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+ power(t, 3) * _bz[5];
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}
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function eval_curve_x(_bz, _x, _tolr = 0.00001) {
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static _CURVE_DEF_01 = [0, 1, /**/ 0, 0, 0, 0, 1/3, 1/3, /**/ -1/3, -1/3, 1, 1, 0, 0];
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static _CURVE_DEF_10 = [0, 1, /**/ 0, 0, 0, 1, 1/3, -1/3, /**/ -1/3, 1/3, 1, 0, 0, 0];
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static _CURVE_DEF_11 = [0, 1, /**/ 0, 0, 0, 1, 1/3, 0, /**/ -1/3, 0, 1, 1, 0, 0];
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if(array_equals(_bz, _CURVE_DEF_11)) return 1;
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if(array_equals(_bz, _CURVE_DEF_01)) return _x;
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if(array_equals(_bz, _CURVE_DEF_10)) return 1 - _x;
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var _amo = array_length(_bz);
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var _shf = _amo % 6;
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var _shift = 0;
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var _scale = 1;
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if(_shf) {
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var _shift = _bz[0];
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var _scale = _bz[1];
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}
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var segments = (_amo - _shf) / 6 - 1;
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_x = _x / _scale - _shift;
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_x = clamp(_x, 0, 1);
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for( var i = 0; i < segments; i++ ) {
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var ind = _shf + i * 6;
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var _x0 = _bz[ind + 2];
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var _y0 = _bz[ind + 3];
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//var bx0 = _x0 + _bz[ind + 0];
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//var by0 = _y0 + _bz[ind + 1];
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var ax0 = _x0 + _bz[ind + 4];
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var ay0 = _y0 + _bz[ind + 5];
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var _x1 = _bz[ind + 6 + 2];
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var _y1 = _bz[ind + 6 + 3];
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var bx1 = _x1 + _bz[ind + 6 + 0];
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var by1 = _y1 + _bz[ind + 6 + 1];
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//var ax1 = _x1 + _bz[ind + 6 + 4];
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//var ay1 = _y1 + _bz[ind + 6 + 5];
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if(_x < _x0) continue;
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if(_x > _x1) continue;
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return eval_curve_segment_x([_y0, ax0, ay0, bx1, by1, _y1], (_x - _x0) / (_x1 - _x0), _tolr);
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}
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return array_safe_get_fast(_bz, array_length(_bz) - 3);
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}
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function eval_curve_segment_x(_bz, _x, _tolr = 0.00001) {
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var st = 0;
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var ed = 1;
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var _xt = _x;
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var _binRep = 8;
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if(_x <= 0) return _bz[0];
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if(_x >= 1) return _bz[5];
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if(_bz[0] == _bz[2] && _bz[0] == _bz[4] && _bz[0] == _bz[5]) return _bz[0];
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// if(_bz[1] == 0 && _bz[2] == 0 && _bz[3] == 0 && _bz[4] == 0)
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// return lerp(_bz[0], _bz[5], _x);
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repeat(_binRep) {
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var _1xt = 1 - _xt;
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var _ftx = 3 * _1xt * _1xt * _xt * _bz[1]
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+ 3 * _1xt * _xt * _xt * _bz[3]
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+ _xt * _xt * _xt;
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if(abs(_ftx - _x) < _tolr)
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return eval_curve_segment_t(_bz, _xt);
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if(_xt < _x) st = _xt;
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else ed = _xt;
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_xt = (st + ed) / 2;
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}
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var _newRep = 8;
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repeat(_newRep) {
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var _bz1 = _bz[1];
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var _bz3 = _bz[3];
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var slope = ( 9 * _bz1 - 9 * _bz3 + 3) * _xt * _xt
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+ (-12 * _bz1 + 6 * _bz3) * _xt
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+ 3 * _bz1;
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var _1xt = 1 - _xt;
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var _ftx = 3 * _1xt * _1xt * _xt * _bz1
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+ 3 * _1xt * _xt * _xt * _bz3
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+ _xt * _xt * _xt
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- _x;
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_xt -= _ftx / slope;
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if(abs(_ftx) < _tolr)
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break;
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}
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_xt = clamp(_xt, 0, 1);
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return eval_curve_segment_t(_bz, _xt);
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}
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//////////////////////////////////////////////////////////////////////////////////////////// MISC ////////////////////////////////////////////////////////////////////////////////////////////
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function bezier_range(bz) { return [ min(bz[0], bz[2], bz[4], bz[5]), max(bz[0], bz[2], bz[4], bz[5]) ]; }
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function ease_cubic_in(rat) { return power(rat, 3); }
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function ease_cubic_out(rat) { return 1 - power(1 - rat, 3); }
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function ease_cubic_inout(rat) { return rat < 0.5 ? 4 * power(rat, 3) : 1 - power(-2 * rat + 2, 3) / 2; }
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function curveMap(_bz, _prec = 32, _tolr = 0.00001) constructor {
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bz = _bz;
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prec = _prec;
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size = 1 / _prec;
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tolr = _tolr;
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map = array_create(_prec);
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for( var i = 0; i < _prec; i++ )
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map[i] = eval_curve_x(bz, i * size, tolr);
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static get = function(i) {
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INLINE
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var _ind = clamp(i, 0, 1) * (prec - 1);
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var _indL = floor(_ind);
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var _indH = ceil(_ind);
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var _indF = frac(_ind);
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if(_indL == _indH) return map[_ind];
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return lerp(map[_indL], map[_indH], _indF);
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}
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}
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function draw_curve_bezier(x0, y0, cx0, cy0, cx1, cy1, x1, y1, prec = 32) {
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var ox, oy, nx, ny;
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var _st = 1 / prec;
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for (var i = 0; i <= prec; i++) {
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var _t = _st * i;
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var _t1 = 1 - _t;
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nx = _t1 * _t1 * _t1 * x0 +
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3 * (_t1 * _t1 * _t) * cx0 +
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3 * (_t1 * _t * _t) * cx1 +
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_t * _t * _t * x1;
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ny = _t1 * _t1 * _t1 * y0 +
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3 * (_t1 * _t1 * _t) * cy0 +
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3 * (_t1 * _t * _t) * cy1 +
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_t * _t * _t * y1;
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if(i) draw_line(ox, oy, nx, ny);
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ox = nx;
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oy = ny;
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}
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} |