535 lines
14 KiB
C
535 lines
14 KiB
C
/* bezier.c generated by valac 0.56.0, the Vala compiler
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* generated from bezier.vala, do not modify */
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#include <glib.h>
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#include <float.h>
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#include <math.h>
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#include "livechart_static.h"
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#include <gee.h>
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#include <glib-object.h>
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#include <string.h>
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#define LIVE_CHART_POLYNOMIAL_TOLERANCE 1e-6
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#define _g_free0(var) ((var == NULL) ? NULL : (var = (g_free (var), NULL)))
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#define _g_object_unref0(var) ((var == NULL) ? NULL : (var = (g_object_unref (var), NULL)))
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VALA_EXTERN GeeList* live_chart_get_cubic_roots (gdouble C3,
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gdouble C2,
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gdouble C1,
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gdouble C0);
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static gdouble* _double_dup (gdouble* self);
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GeeList*
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live_chart_find_intersections_between (LiveChartSegment* segment,
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LiveChartBezierCurve* bezier)
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{
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gdouble ax = 0.0;
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LiveChartBezierCurve _tmp0_;
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LiveChartCoord _tmp1_;
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LiveChartBezierCurve _tmp2_;
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LiveChartCoord _tmp3_;
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LiveChartBezierCurve _tmp4_;
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LiveChartCoord _tmp5_;
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LiveChartBezierCurve _tmp6_;
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LiveChartCoord _tmp7_;
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gdouble ay = 0.0;
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LiveChartBezierCurve _tmp8_;
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LiveChartCoord _tmp9_;
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LiveChartBezierCurve _tmp10_;
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LiveChartCoord _tmp11_;
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LiveChartBezierCurve _tmp12_;
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LiveChartCoord _tmp13_;
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LiveChartBezierCurve _tmp14_;
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LiveChartCoord _tmp15_;
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gdouble bx = 0.0;
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LiveChartBezierCurve _tmp16_;
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LiveChartCoord _tmp17_;
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LiveChartBezierCurve _tmp18_;
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LiveChartCoord _tmp19_;
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LiveChartBezierCurve _tmp20_;
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LiveChartCoord _tmp21_;
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gdouble by = 0.0;
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LiveChartBezierCurve _tmp22_;
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LiveChartCoord _tmp23_;
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LiveChartBezierCurve _tmp24_;
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LiveChartCoord _tmp25_;
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LiveChartBezierCurve _tmp26_;
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LiveChartCoord _tmp27_;
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gdouble cx = 0.0;
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LiveChartBezierCurve _tmp28_;
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LiveChartCoord _tmp29_;
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LiveChartBezierCurve _tmp30_;
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LiveChartCoord _tmp31_;
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gdouble cy = 0.0;
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LiveChartBezierCurve _tmp32_;
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LiveChartCoord _tmp33_;
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LiveChartBezierCurve _tmp34_;
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LiveChartCoord _tmp35_;
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gdouble dx = 0.0;
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LiveChartBezierCurve _tmp36_;
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LiveChartCoord _tmp37_;
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gdouble dy = 0.0;
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LiveChartBezierCurve _tmp38_;
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LiveChartCoord _tmp39_;
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gdouble vx = 0.0;
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LiveChartSegment _tmp40_;
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LiveChartCoord _tmp41_;
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LiveChartSegment _tmp42_;
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LiveChartCoord _tmp43_;
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gdouble vy = 0.0;
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LiveChartSegment _tmp44_;
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LiveChartCoord _tmp45_;
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LiveChartSegment _tmp46_;
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LiveChartCoord _tmp47_;
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gdouble d = 0.0;
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LiveChartSegment _tmp48_;
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LiveChartCoord _tmp49_;
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LiveChartSegment _tmp50_;
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LiveChartCoord _tmp51_;
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GeeList* roots = NULL;
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GeeList* _tmp52_;
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GeeArrayList* results = NULL;
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GeeArrayList* _tmp53_;
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GeeList* result;
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#line 6 "../src/bezier.vala"
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g_return_val_if_fail (segment != NULL, NULL);
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#line 6 "../src/bezier.vala"
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g_return_val_if_fail (bezier != NULL, NULL);
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#line 8 "../src/bezier.vala"
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_tmp0_ = *bezier;
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#line 8 "../src/bezier.vala"
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_tmp1_ = _tmp0_.c1;
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#line 8 "../src/bezier.vala"
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_tmp2_ = *bezier;
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#line 8 "../src/bezier.vala"
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_tmp3_ = _tmp2_.c2;
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#line 8 "../src/bezier.vala"
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_tmp4_ = *bezier;
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#line 8 "../src/bezier.vala"
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_tmp5_ = _tmp4_.c3;
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#line 8 "../src/bezier.vala"
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_tmp6_ = *bezier;
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#line 8 "../src/bezier.vala"
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_tmp7_ = _tmp6_.c0;
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#line 8 "../src/bezier.vala"
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ax = ((3 * (_tmp1_.x - _tmp3_.x)) + _tmp5_.x) - _tmp7_.x;
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#line 9 "../src/bezier.vala"
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_tmp8_ = *bezier;
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#line 9 "../src/bezier.vala"
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_tmp9_ = _tmp8_.c1;
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#line 9 "../src/bezier.vala"
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_tmp10_ = *bezier;
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#line 9 "../src/bezier.vala"
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_tmp11_ = _tmp10_.c2;
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#line 9 "../src/bezier.vala"
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_tmp12_ = *bezier;
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#line 9 "../src/bezier.vala"
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_tmp13_ = _tmp12_.c3;
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#line 9 "../src/bezier.vala"
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_tmp14_ = *bezier;
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#line 9 "../src/bezier.vala"
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_tmp15_ = _tmp14_.c0;
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#line 9 "../src/bezier.vala"
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ay = ((3 * (_tmp9_.y - _tmp11_.y)) + _tmp13_.y) - _tmp15_.y;
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#line 11 "../src/bezier.vala"
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_tmp16_ = *bezier;
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#line 11 "../src/bezier.vala"
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_tmp17_ = _tmp16_.c0;
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#line 11 "../src/bezier.vala"
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_tmp18_ = *bezier;
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#line 11 "../src/bezier.vala"
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_tmp19_ = _tmp18_.c1;
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#line 11 "../src/bezier.vala"
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_tmp20_ = *bezier;
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#line 11 "../src/bezier.vala"
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_tmp21_ = _tmp20_.c2;
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#line 11 "../src/bezier.vala"
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bx = 3 * ((_tmp17_.x - (2 * _tmp19_.x)) + _tmp21_.x);
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#line 12 "../src/bezier.vala"
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_tmp22_ = *bezier;
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#line 12 "../src/bezier.vala"
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_tmp23_ = _tmp22_.c0;
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#line 12 "../src/bezier.vala"
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_tmp24_ = *bezier;
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#line 12 "../src/bezier.vala"
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_tmp25_ = _tmp24_.c1;
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#line 12 "../src/bezier.vala"
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_tmp26_ = *bezier;
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#line 12 "../src/bezier.vala"
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_tmp27_ = _tmp26_.c2;
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#line 12 "../src/bezier.vala"
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by = 3 * ((_tmp23_.y - (2 * _tmp25_.y)) + _tmp27_.y);
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#line 14 "../src/bezier.vala"
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_tmp28_ = *bezier;
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#line 14 "../src/bezier.vala"
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_tmp29_ = _tmp28_.c1;
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#line 14 "../src/bezier.vala"
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_tmp30_ = *bezier;
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#line 14 "../src/bezier.vala"
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_tmp31_ = _tmp30_.c0;
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#line 14 "../src/bezier.vala"
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cx = 3 * (_tmp29_.x - _tmp31_.x);
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#line 15 "../src/bezier.vala"
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_tmp32_ = *bezier;
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#line 15 "../src/bezier.vala"
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_tmp33_ = _tmp32_.c1;
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#line 15 "../src/bezier.vala"
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_tmp34_ = *bezier;
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#line 15 "../src/bezier.vala"
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_tmp35_ = _tmp34_.c0;
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#line 15 "../src/bezier.vala"
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cy = 3 * (_tmp33_.y - _tmp35_.y);
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#line 17 "../src/bezier.vala"
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_tmp36_ = *bezier;
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#line 17 "../src/bezier.vala"
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_tmp37_ = _tmp36_.c0;
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#line 17 "../src/bezier.vala"
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dx = _tmp37_.x;
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#line 18 "../src/bezier.vala"
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_tmp38_ = *bezier;
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#line 18 "../src/bezier.vala"
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_tmp39_ = _tmp38_.c0;
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#line 18 "../src/bezier.vala"
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dy = _tmp39_.y;
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#line 20 "../src/bezier.vala"
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_tmp40_ = *segment;
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#line 20 "../src/bezier.vala"
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_tmp41_ = _tmp40_.to;
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#line 20 "../src/bezier.vala"
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_tmp42_ = *segment;
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#line 20 "../src/bezier.vala"
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_tmp43_ = _tmp42_.from;
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#line 20 "../src/bezier.vala"
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vx = _tmp41_.y - _tmp43_.y;
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#line 21 "../src/bezier.vala"
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_tmp44_ = *segment;
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#line 21 "../src/bezier.vala"
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_tmp45_ = _tmp44_.from;
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#line 21 "../src/bezier.vala"
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_tmp46_ = *segment;
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#line 21 "../src/bezier.vala"
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_tmp47_ = _tmp46_.to;
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#line 21 "../src/bezier.vala"
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vy = _tmp45_.x - _tmp47_.x;
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#line 23 "../src/bezier.vala"
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_tmp48_ = *segment;
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#line 23 "../src/bezier.vala"
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_tmp49_ = _tmp48_.from;
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#line 23 "../src/bezier.vala"
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_tmp50_ = *segment;
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#line 23 "../src/bezier.vala"
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_tmp51_ = _tmp50_.from;
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#line 23 "../src/bezier.vala"
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d = (_tmp49_.x * vx) + (_tmp51_.y * vy);
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#line 25 "../src/bezier.vala"
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_tmp52_ = live_chart_get_cubic_roots ((vx * ax) + (vy * ay), (vx * bx) + (vy * by), (vx * cx) + (vy * cy), ((vx * dx) + (vy * dy)) - d);
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#line 25 "../src/bezier.vala"
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roots = _tmp52_;
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#line 32 "../src/bezier.vala"
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_tmp53_ = gee_array_list_new (LIVE_CHART_TYPE_COORD, (GBoxedCopyFunc) live_chart_coord_dup, (GDestroyNotify) live_chart_coord_free, NULL, NULL, NULL);
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#line 32 "../src/bezier.vala"
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results = _tmp53_;
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#line 234 "bezier.c"
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{
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gint i = 0;
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#line 33 "../src/bezier.vala"
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i = 0;
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#line 239 "bezier.c"
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{
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gboolean _tmp54_ = FALSE;
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#line 33 "../src/bezier.vala"
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_tmp54_ = TRUE;
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#line 33 "../src/bezier.vala"
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while (TRUE) {
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#line 246 "bezier.c"
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GeeList* _tmp56_;
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gint _tmp57_;
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gint _tmp58_;
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gdouble* root = NULL;
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GeeList* _tmp59_;
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gpointer _tmp60_;
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gboolean _tmp61_ = FALSE;
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gdouble* _tmp62_;
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GeeArrayList* _tmp64_;
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gdouble* _tmp65_;
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gdouble* _tmp66_;
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gdouble* _tmp67_;
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gdouble* _tmp68_;
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gdouble* _tmp69_;
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gdouble* _tmp70_;
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LiveChartCoord _tmp71_ = {0};
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#line 33 "../src/bezier.vala"
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if (!_tmp54_) {
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#line 265 "bezier.c"
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gint _tmp55_;
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#line 33 "../src/bezier.vala"
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_tmp55_ = i;
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#line 33 "../src/bezier.vala"
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i = _tmp55_ + 1;
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#line 271 "bezier.c"
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}
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#line 33 "../src/bezier.vala"
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_tmp54_ = FALSE;
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#line 33 "../src/bezier.vala"
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_tmp56_ = roots;
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#line 33 "../src/bezier.vala"
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_tmp57_ = gee_collection_get_size ((GeeCollection*) _tmp56_);
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#line 33 "../src/bezier.vala"
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_tmp58_ = _tmp57_;
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#line 33 "../src/bezier.vala"
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if (!(i < _tmp58_)) {
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#line 33 "../src/bezier.vala"
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break;
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#line 285 "bezier.c"
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}
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#line 34 "../src/bezier.vala"
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_tmp59_ = roots;
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#line 34 "../src/bezier.vala"
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_tmp60_ = gee_list_get (_tmp59_, i);
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#line 34 "../src/bezier.vala"
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root = (gdouble*) _tmp60_;
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#line 35 "../src/bezier.vala"
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_tmp62_ = root;
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#line 35 "../src/bezier.vala"
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if (((gdouble) 0) > (*_tmp62_)) {
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#line 35 "../src/bezier.vala"
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_tmp61_ = TRUE;
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#line 299 "bezier.c"
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} else {
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gdouble* _tmp63_;
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#line 35 "../src/bezier.vala"
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_tmp63_ = root;
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#line 35 "../src/bezier.vala"
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_tmp61_ = (*_tmp63_) > ((gdouble) 1);
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#line 306 "bezier.c"
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}
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#line 35 "../src/bezier.vala"
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if (_tmp61_) {
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#line 35 "../src/bezier.vala"
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_g_free0 (root);
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#line 35 "../src/bezier.vala"
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continue;
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#line 314 "bezier.c"
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}
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#line 36 "../src/bezier.vala"
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_tmp64_ = results;
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#line 36 "../src/bezier.vala"
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_tmp65_ = root;
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#line 36 "../src/bezier.vala"
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_tmp66_ = root;
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#line 36 "../src/bezier.vala"
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_tmp67_ = root;
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#line 36 "../src/bezier.vala"
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_tmp68_ = root;
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#line 36 "../src/bezier.vala"
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_tmp69_ = root;
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#line 36 "../src/bezier.vala"
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_tmp70_ = root;
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#line 36 "../src/bezier.vala"
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_tmp71_.x = (((((ax * (*_tmp65_)) + bx) * (*_tmp66_)) + cx) * (*_tmp67_)) + dx;
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#line 36 "../src/bezier.vala"
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_tmp71_.y = (((((ay * (*_tmp68_)) + by) * (*_tmp69_)) + cy) * (*_tmp70_)) + dy;
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#line 36 "../src/bezier.vala"
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gee_abstract_collection_add ((GeeAbstractCollection*) _tmp64_, &_tmp71_);
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#line 33 "../src/bezier.vala"
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_g_free0 (root);
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#line 338 "bezier.c"
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}
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}
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}
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#line 42 "../src/bezier.vala"
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result = (GeeList*) results;
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#line 42 "../src/bezier.vala"
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_g_object_unref0 (roots);
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#line 42 "../src/bezier.vala"
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return result;
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#line 348 "bezier.c"
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}
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static gdouble*
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_double_dup (gdouble* self)
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{
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gdouble* dup;
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#line 47 "../src/bezier.vala"
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dup = g_new0 (gdouble, 1);
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#line 47 "../src/bezier.vala"
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memcpy (dup, self, sizeof (gdouble));
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#line 47 "../src/bezier.vala"
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return dup;
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#line 361 "bezier.c"
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}
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GeeList*
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live_chart_get_cubic_roots (gdouble C3,
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gdouble C2,
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gdouble C1,
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gdouble C0)
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{
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GeeArrayList* roots = NULL;
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GeeArrayList* _tmp0_;
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gdouble c3 = 0.0;
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gdouble c2 = 0.0;
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gdouble c1 = 0.0;
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gdouble c0 = 0.0;
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gdouble a = 0.0;
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gdouble b = 0.0;
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gdouble offset = 0.0;
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gdouble discrim = 0.0;
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gdouble halfB = 0.0;
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gdouble tmp = 0.0;
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gdouble root = 0.0;
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GeeList* result;
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#line 47 "../src/bezier.vala"
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_tmp0_ = gee_array_list_new (G_TYPE_DOUBLE, (GBoxedCopyFunc) _double_dup, (GDestroyNotify) g_free, NULL, NULL, NULL);
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#line 47 "../src/bezier.vala"
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roots = _tmp0_;
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#line 50 "../src/bezier.vala"
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c3 = C3;
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#line 51 "../src/bezier.vala"
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c2 = C2 / c3;
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#line 52 "../src/bezier.vala"
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c1 = C1 / c3;
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#line 53 "../src/bezier.vala"
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c0 = C0 / c3;
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#line 55 "../src/bezier.vala"
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a = ((3 * c1) - (c2 * c2)) / 3;
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#line 56 "../src/bezier.vala"
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b = (((((2 * c2) * c2) * c2) - ((9 * c1) * c2)) + (27 * c0)) / 27;
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#line 57 "../src/bezier.vala"
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offset = c2 / 3;
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#line 58 "../src/bezier.vala"
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discrim = ((b * b) / 4) + (((a * a) * a) / 27);
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#line 59 "../src/bezier.vala"
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halfB = b / 2;
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#line 61 "../src/bezier.vala"
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tmp = (gdouble) 0;
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#line 62 "../src/bezier.vala"
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root = (gdouble) 0;
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#line 64 "../src/bezier.vala"
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if (fabs (discrim) <= LIVE_CHART_POLYNOMIAL_TOLERANCE) {
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#line 64 "../src/bezier.vala"
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discrim = (gdouble) 0;
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#line 414 "bezier.c"
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}
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#line 66 "../src/bezier.vala"
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if (discrim > ((gdouble) 0)) {
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#line 418 "bezier.c"
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gdouble e = 0.0;
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GeeArrayList* _tmp1_;
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gdouble _tmp2_;
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#line 67 "../src/bezier.vala"
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e = sqrt (discrim);
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#line 69 "../src/bezier.vala"
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tmp = (-halfB) + e;
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#line 70 "../src/bezier.vala"
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if (tmp >= ((gdouble) 0)) {
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#line 70 "../src/bezier.vala"
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root = pow (tmp, (gdouble) (1 / 3));
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#line 430 "bezier.c"
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} else {
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#line 71 "../src/bezier.vala"
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root = -pow (-tmp, (gdouble) (1 / 3));
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#line 434 "bezier.c"
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}
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#line 73 "../src/bezier.vala"
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tmp = (-halfB) - e;
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#line 74 "../src/bezier.vala"
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if (tmp >= ((gdouble) 0)) {
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#line 74 "../src/bezier.vala"
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root += pow (tmp, (gdouble) (1 / 3));
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#line 442 "bezier.c"
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} else {
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#line 75 "../src/bezier.vala"
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root -= pow (-tmp, (gdouble) (1 / 3));
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#line 446 "bezier.c"
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}
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#line 77 "../src/bezier.vala"
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_tmp1_ = roots;
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#line 77 "../src/bezier.vala"
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_tmp2_ = root - offset;
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#line 77 "../src/bezier.vala"
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gee_abstract_collection_add ((GeeAbstractCollection*) _tmp1_, &_tmp2_);
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#line 454 "bezier.c"
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} else {
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#line 78 "../src/bezier.vala"
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if (discrim < ((gdouble) 0)) {
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#line 458 "bezier.c"
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gdouble distance = 0.0;
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gdouble angle = 0.0;
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|
gdouble _cos = 0.0;
|
|
gdouble _sin = 0.0;
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|
gdouble sqrt3 = 0.0;
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|
GeeArrayList* _tmp3_;
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|
gdouble _tmp4_;
|
|
GeeArrayList* _tmp5_;
|
|
gdouble _tmp6_;
|
|
GeeArrayList* _tmp7_;
|
|
gdouble _tmp8_;
|
|
#line 79 "../src/bezier.vala"
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distance = sqrt ((-a) / 3);
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#line 80 "../src/bezier.vala"
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angle = atan2 (sqrt (-discrim), -halfB) / 3;
|
|
#line 81 "../src/bezier.vala"
|
|
_cos = cos (angle);
|
|
#line 82 "../src/bezier.vala"
|
|
_sin = sin (angle);
|
|
#line 83 "../src/bezier.vala"
|
|
sqrt3 = sqrt ((gdouble) 3);
|
|
#line 85 "../src/bezier.vala"
|
|
_tmp3_ = roots;
|
|
#line 85 "../src/bezier.vala"
|
|
_tmp4_ = ((2 * distance) * _cos) - offset;
|
|
#line 85 "../src/bezier.vala"
|
|
gee_abstract_collection_add ((GeeAbstractCollection*) _tmp3_, &_tmp4_);
|
|
#line 86 "../src/bezier.vala"
|
|
_tmp5_ = roots;
|
|
#line 86 "../src/bezier.vala"
|
|
_tmp6_ = ((-distance) * (_cos + (sqrt3 * _sin))) - offset;
|
|
#line 86 "../src/bezier.vala"
|
|
gee_abstract_collection_add ((GeeAbstractCollection*) _tmp5_, &_tmp6_);
|
|
#line 87 "../src/bezier.vala"
|
|
_tmp7_ = roots;
|
|
#line 87 "../src/bezier.vala"
|
|
_tmp8_ = ((-distance) * (_cos - (sqrt3 * _sin))) - offset;
|
|
#line 87 "../src/bezier.vala"
|
|
gee_abstract_collection_add ((GeeAbstractCollection*) _tmp7_, &_tmp8_);
|
|
#line 498 "bezier.c"
|
|
} else {
|
|
GeeArrayList* _tmp9_;
|
|
gdouble _tmp10_;
|
|
GeeArrayList* _tmp11_;
|
|
gdouble _tmp12_;
|
|
#line 89 "../src/bezier.vala"
|
|
if (halfB >= ((gdouble) 0)) {
|
|
#line 89 "../src/bezier.vala"
|
|
tmp = -pow (halfB, (gdouble) (1 / 3));
|
|
#line 508 "bezier.c"
|
|
} else {
|
|
#line 90 "../src/bezier.vala"
|
|
tmp = pow (-halfB, (gdouble) (1 / 3));
|
|
#line 512 "bezier.c"
|
|
}
|
|
#line 92 "../src/bezier.vala"
|
|
_tmp9_ = roots;
|
|
#line 92 "../src/bezier.vala"
|
|
_tmp10_ = (2 * tmp) - offset;
|
|
#line 92 "../src/bezier.vala"
|
|
gee_abstract_collection_add ((GeeAbstractCollection*) _tmp9_, &_tmp10_);
|
|
#line 94 "../src/bezier.vala"
|
|
_tmp11_ = roots;
|
|
#line 94 "../src/bezier.vala"
|
|
_tmp12_ = (-tmp) - offset;
|
|
#line 94 "../src/bezier.vala"
|
|
gee_abstract_collection_add ((GeeAbstractCollection*) _tmp11_, &_tmp12_);
|
|
#line 526 "bezier.c"
|
|
}
|
|
}
|
|
#line 97 "../src/bezier.vala"
|
|
result = (GeeList*) roots;
|
|
#line 97 "../src/bezier.vala"
|
|
return result;
|
|
#line 533 "bezier.c"
|
|
}
|
|
|