#include?“BezierCurve.h“


namespace?CBezierCurve{

	//?function?to?calculate?the?factorial
	float?Factrl（int?n）
	{
		static?int?ntop?=?6;
		static?float?a[33]?=?{?1.0?1.0?2.0?6.0?24.0?120.0?720.0?};?/*?fill?in?the?first?few?values?*/
		int?j1;

		if?（n?		if?（n?>?32）?printf（“\nFactorial?value?too?large?in?routine?FACTRL\n“）;

		while?（ntop?			j1?=?ntop++;
			a[n]?=?a[j1]?*?ntop;
		}
		return?a[n];?/*?returns?the?value?n!?as?a?floating?point?number?*/
	}

	//?function?to?calculate?the?factorial?function?for?Bernstein?basis
	float?Ni（int?n?int?i）
	{
		float?ni;
		ni?=?Factrl（n）?/?（Factrl（i）*Factrl（n?-?i））;
		return?ni;
	}

	//?function?to?calculate?the?Bernstein?basis
	float?Basis（int?n?int?i?float?t）
	{
		float?basis;
		float?ti;?/*?this?is?t^i?*/
		float?tni;?/*?this?is?（1?-?t）^i?*/

		/*?handle?the?special?cases?to?avoid?domain?problem?with?pow?*/

		if?（t?==?0.?&&?i?==?0）
			ti?=?1.0;
		else
			ti?=?pow（t?i）;

		if?（n?==?i?&&?t?==?1.）
			tni?=?1.0;
		else
			tni?=?pow（（1?-?t）?（n?-?i））;
		basis?=?Ni（n?i）*ti*tni;?/*?calculate?Bernstein?basis?function?*/
		return?basis;
	}

	//?Bezier?curve?subroutine
	int?Bezier（SPoint?*sPoint?int?inPointNum?SPoint?*sOutPoint?int?outPointNum）
	{

		float?step;
		float?t;

		/*????calculate?the?points?on?the?Bezier?curve?*/

		t?=?0;
		step?=?1.0f?/?（（float）（outPointNum?-?1））;

		for?（int?i1?=?0;?i1?		{
			if?（（1.0?-?t）?			{
				t?=?1.0;
			}

			sOutPoint[i1].x?=?0.0;
			sOutPoint[i1].y?=?0.0;
			sOutPoint[i1].z?=?0.0;
			for?（int?posi?=?0;?posi?			{
				sOutPoint[i1].x?=?sOutPoint[i1].x?+?Basis（inPointNum?-?1?posi?t）*sPoint[posi].x;
				sOutPoint[i1].y?=?sOutPoint[i1].y?+?Basis（inPointNum?-?1?posi?t）*sPoint[posi].y;
				sOutPoint[i1].z?=?sOutPoint[i1].z?+?Basis（inPointNum?-?1?posi?t）*sPoint[posi].z;
			}
			t?=?t?+?step;
		}

		return?0;
	}

};

?屬性????????????大小?????日期????時(shí)間???名稱
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?????文件???????2121??2017-04-29?14:15??BezierCurve\BezierCurve\BezierCurve.cpp

?????文件???????1413??2017-04-29?14:15??BezierCurve\BezierCurve\BezierCurve.h

?????文件???????4207??2017-04-29?14:13??BezierCurve\BezierCurve\BezierCurve.vcxproj

?????文件???????1164??2017-04-29?14:13??BezierCurve\BezierCurve\BezierCurve.vcxproj.filters

?????文件???????1124??2017-05-02?08:45??BezierCurve\BezierCurve\main.cpp

?????文件????2097152??2018-05-18?16:10??BezierCurve\BezierCurve.sdf

?????文件????????979??2017-04-28?22:59??BezierCurve\BezierCurve.sln

????..A..H.?????25088??2018-05-18?16:10??BezierCurve\BezierCurve.v12.suo

?????目錄??????????0??2017-11-07?10:58??BezierCurve\BezierCurve

?????目錄??????????0??2018-05-18?16:10??BezierCurve

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??????????????2133248????????????????????10