当涉及大量计算时,直接用 float s=sin(A); 的方法需要每次都计算一次三角函数.这样会让计算速度变得很慢.

于是我想到一个快速求得sin值的方法,我把从0到4 范围内的sin值 制作成多维数组.然后把A值 ,例如 A=2.14;分解成2,1,4 的数组下标.首先把float类型的2.14转成char*类型"2.14",再把字符的每一位数分别转成int类型的数组下标[2,1,4]用于查找结果.

这样就可以快速得到sin(2.14)的值.不过这种情况的计算结果是有一点点偏差的,适合对计算结果要求不太精确但要快速计算的情况.

这里只列出sin的情况,其它cos,acos也是类似.甚至可以做平方,开方.的快速查找.

#ifndef _MATH查300_H_#define _MATH查300_H_#include<cmath>
int iChar,iChar1,iChar2;
float fPre=-100000000;static bool b是负数=false;
cchar *Ψs转fG;
//==============================
inline const char*const & s巜f查(const float& int_value){sprintf(Ψs转G, "%f", int_value);return Ψs转G;}
//====这里使用了位运算实现整形类型的加法=========
inline int 加(int a, int b){return (b) ? 加((a)^(b), ((a)&(b))<<1) : (a);}
#define 乘10一(i)        加(加(((i)<<3),((i)<<1)),-1)//====[-4 亠 4]====================================
#define Δmath查22(f,asin300,SIN,零值)    \if((f) 二二 0)return 零值;else if(4 ＜ (f))return SIN((f));\if((f) ＜ 0){b是负数=true;(f)=-(f);}else b是负数=false;\Ψs转fG=s巜f查((f));\iChar=Ψs转fG[0]-'0';iChar1=Ψs转fG[2]-'0';\/**/ iChar2=乘10一(Ψs转fG[3]-'0');/* iChar2=(Ψs转fG[3]-'0')*10-1; */\if(iChar2 二二 -1)iChar2=0;/*  */printf("Ψs转fG=%s(iChar=%d,iChar1=%d,iChar2=%d )",Ψs转fG,iChar,iChar1,iChar2);\for(int i=iChar2;i ＜ 100;++i)\{\const float&f此=asin300[iChar][iChar1][i][0];\if((f) ＜二 f此)\{/* printf("(找到 i= %d,(f)=%lf,f此=%lf,fPre=%lf)",i,(f),f此,fPre); */\if(i!=0)\{\const float& 此一f=f此-(f),f一pre=(f)-fPre;printf("(此一f=%lf,f一pre=%lf)",此一f,f一pre);/*  */\if(b是负数)\{\if(此一f ＜ f一pre)return -asin300[iChar][iChar1][i][1];/*fPre☐☐☐f☐f此  */\else return -asin300[iChar][iChar1][i-1][1];/*fPre☐f☐☐☐f此  */\}\else \{\if(此一f ＜ f一pre)return asin300[iChar][iChar1][i][1];/*fPre☐☐☐f☐f此  */\else return asin300[iChar][iChar1][i-1][1];/*fPre☐f☐☐☐f此  */\}\}\else \{\if(b是负数)\return -asin300[iChar][iChar1][i][1];\else \return asin300[iChar][iChar1][i][1];\}\}\fPre=f此;\}\/*  */printf("找不到= %lf\n",(f));\return SIN(f);//INF表示“无穷大”NAN 表示无效数字
只查找 [0亠 ㄥ180] 的弧度范围{f,sin值}/
static float sin400[4][10][100][2]=/* [0.000000亠1.000000], */
{
{
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{{0.200998,0.199647},{0.201998,0.200627},{0.202998,0.201607},{0.203998,0.202586},{0.204998,0.203565},{0.205998,0.204544},{0.206998,0.205523},{0.207998,0.206501},{0.208998,0.207480},{0.209998,0.208458},{0.210998,0.209436},{0.211998,0.210413},{0.212998,0.211391},{0.213998,0.212368},{0.214998,0.213345},{0.215998,0.214322},{0.216998,0.215299},{0.217998,0.216275},{0.218998,0.217251},{0.219998,0.218227},{0.220998,0.219203},{0.221998,0.220179},{0.222998,0.221154},{0.223998,0.222129},{0.224998,0.223104},{0.225998,0.224079},{0.226998,0.225053},{0.227998,0.226028},{0.228998,0.227002},{0.229998,0.227975},{0.230998,0.228949},{0.231998,0.229922},{0.232998,0.230895},{0.233998,0.231868},{0.234998,0.232841},{0.235998,0.233813},{0.236998,0.234785},{0.237998,0.235757},{0.238998,0.236729},{0.239998,0.237700},{0.240998,0.238672},{0.241998,0.239642},{0.242998,0.240613},{0.243998,0.241584},{0.244998,0.242554},{0.245998,0.243524},{0.246998,0.244494},{0.247998,0.245463},{0.248998,0.246433},{0.249998,0.247402},{0.250997,0.248370},{0.251997,0.249339},{0.252997,0.250307},{0.253997,0.251275},{0.254997,0.252243},{0.255997,0.253210},{0.256997,0.254178},{0.257997,0.255145},{0.258997,0.256112},{0.259997,0.257078},{0.260997,0.258044},{0.261997,0.259010},{0.262997,0.259976},{0.263997,0.260941},{0.264997,0.261907},{0.265997,0.262872},{0.266997,0.263836},{0.267997,0.264801},{0.268997,0.265765},{0.269997,0.266729},{0.270997,0.267692},{0.271997,0.268656},{0.272997,0.269619},{0.273997,0.270582},{0.274997,0.271544},{0.275997,0.272507},{0.276997,0.273469},{0.277997,0.274430},{0.278997,0.275392},{0.279997,0.276353},{0.280997,0.277314},{0.281997,0.278274},{0.282997,0.279235},{0.283997,0.280195},{0.284997,0.281155},{0.285997,0.282114},{0.286997,0.283073},{0.287997,0.284032},{0.288997,0.284991},{0.289997,0.285949},{0.290997,0.286908},{0.291997,0.287865},{0.292997,0.288823},{0.293997,0.289780},{0.294997,0.290737},{0.295997,0.291694},{0.296997,0.292650},{0.297997,0.293606},{0.298997,0.294562},{0.299997,0.295517}},
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},
/* ----2--------------------------- */
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},
/* ----3--------------------------- */
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},
/* ----4--------------------------- */
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}
};
__forceinline float sin查(float f){Δmath查22(f,sin400,sin,0.000000f);}ENDENDENDENDENDENDENDEND
#endif

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