[分享]绝对随机网点分布（excel之vba） [复制链接]

想学习的请研究下，直接给程序就没意思了，由于公司想做一套导光板的模具，没有现成的软件可用，就自己做了较简单的程序，虽然简单，但基本功能已经满足了导光板网点设计的要求；具备功能：任意多边形区域；含有光轴，且可以根据光源调整；网点密度可沿光轴方向调整，效果图如下： \bsm#vY,  
tQ|I$5jNJ  
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关键点说几个：
,]Ma,2  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 2uHp%fv;  
2.需要定义光轴的方向；简便的方法就是指定光源坐标，及网点区域坐标，这样光轴就确定了 **"P A8  
3.网点区域密度可调；把区域分成若干小块，每块的密度不同即可 ?l(hS\N,  

以下是几个重要的函数： d0
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1.判断点在区域中函数 6xe |L  
2.计算夹角函数 g;h&Xkp  
3.转置函数 J\*d4I<(Rt  
4.得到区域中心点，及区域半径函数 zyr6Tv61U  
5.再有就是若干个点抽取其中一部分；或者采用随机分布（该方法会有重合点，所以没采用） $3ILVT  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 #O WSy'Qnt  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ?zEF?LJoK  
   cax = x2 - x1 #<o#kJL  
   cay = y2 - y1 D|o@(V  
   cbx = x2 - x3 NP8TF*5V  
   cby = y2 - y3 PwW@I~@>  
   mo_jj = cax * cbx + cay * cby qAS^5|(b[  
   mo_ca = Sqr(cax * cax + cay * cay) 1N+#(<x@,
 
   mo_cb = Sqr(cbx * cbx + cby * cby) Xd6y7s  
   cos_acb = mo_jj / (mo_ca * mo_cb) Y"qY@`  
   'ff_cos = cos_acb CkU=0mcY  
   If cos_acb >= 1 Then YSgF'qq\  
   nn = 0 v(iUo&Ge  
   ElseIf cos_acb <= -1 Then 8##jd[o&p~  
   nn = 3.14159265258979 +mQSlEo  
   Else Ub,unU  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) lNb\^b  
   End If kR|y0V {K*  
   'ff_angle = nn d3GK.8y_z  
   ff_angle = nn * 180 / 3.14159265258979 S2)S/ nf  
End Function

'判断点在区域内函数 J|-HZ-Wk|J  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean =]e^8;e9  
Dim aob, boc, cod, doa, sum As Single \
]xYV}(FO  
  If ppx = p1x And ppy = p1y Then M;qL)vf  
     point_in = True -(1\`g07  
     Exit Function &J$5+"/;X  
  End If Q=E@i9c9  
  If ppx = p2x And ppy = p2y Then 09Y?!,  
     point_in = True <q\) o_tH  
     Exit Function dH|^\IQ  
  End If RWFf-VA?  
   If ppx = p3x And ppy = p3y Then "\;wMR{  
     point_in = True <R>z;2c  
     Exit Function 5#.\pR{Gd  
  End If GDp p`'\  
     /Ph&:n\4  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 9Z'eBp  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) CDnz &?  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) N?0y<S ?!  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Hs=N0Sk]j  
    sum = aob + boc + cod + doa &pjV4m|j<  
    If 360.01 > sum And sum > 359.99 Then ,hLSRj{  
       point_in = True k&iDJt  
    Else mthl?,I|  
       point_in = False RJwIN,&1.  
    End If x9l0UD*+g  
End Function

'得到点半径,得到交点坐标函数 P 4*MV  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() puN=OX}C  
    '求得中心点坐标 ,Bw)n,  
Dim tt As String L8wcH  
Dim rt(3) As Single ,G|aLBn  
    '判断是否平行 k
_>Fw>Y  
   acx = p3x - p1x 6\fMzm  
   acy = p3y - p1y kN|5 J  
   bdx = p4x - p2x ,GkW. vEU  
   bdy = p4y - p2y ikN!ut  
   If acx * bdy = acy * bdx Then e ]o'i;I  
      rt(0) = 0 |( 9#vt#  
      Exit Function \UqS -j|  
   Else 4:&qTY)H  
      '判断斜率存在否 F4E3c4 81  
      If p1x = p3x And p2x <> p4x Then }BdVD t  
         tt = "ac_n_bd_y" $>"e\L4Kp  
      ElseIf p1x <> p3x And p2x = p4x Then kgapTv>q  
         tt = "ac_y_bd_n" D?yE$_3>c  
      ElseIf p1x <> p3x And p2x <> p4x Then k\sM;bCv7  
         tt = "ac_y_bd_y" cPsn]U  
      End If dMs||&|&  
    Select Case tt ]]=fA 4(  
         Case "ac_n_bd_y" =lC;^&D-0/  
            'bd线段方程 M&/aJRBS  
            k_bd = bdy / bdx 9/1+BQ  
            b_bd = p2y - k_bd * p2x )HX:U0
 
            p_x = p1x D"XX920$~  
            p_y = k_bd * p_x + b_bd ct}%Mdg  
         Case "ac_y_bd_n" [Z5[~gP3  
            'ac线段方程 Afy .3T @)  
            k_ac = acy / acx g:DTVq  
            b_ac = p1y - k_ac * p1x ,{{#a*nd  
            p_x = p2x !3I(4?G,  
            p_y = k_ac * p_x + b_ac mPfUJ#rS  
        Case "ac_y_bd_y" R'I_xjC  
           'ac，bd线段都要求 A,-V$[;~D  
           k_ac = acy / acx $HBT%g@UN  
           b_ac = p1y - k_ac * p1x G_M:0YI@  
           k_bd = bdy / bdx 2Za,4'  
           b_bd = p2y - k_bd * p2x 8VuZ,!WH#  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) o"#TZB+k
 
           p_y = k_ac * p_x + b_ac ZEj!jWP2m  
        End Select p2x1xv  
      rt(1) = p_x wD6!#t k  
      rt(2) = p_y _2m[(P9d  
     uKbHFF  
'计算最大半径 w}j6.r  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) %l:|2s:  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) * {gxI<  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) PW*;Sp  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) NFY|^*bll  
Dim bb(5) As Single w53z*l>ek  
  bb(1) = rr1 sq~+1(X  
  bb(2) = rr2 4@v1jJj  
  bb(3) = rr3 Jh$"fr3  
  bb(4) = rr4 j,=*WG  
  nb = rr1 X a"XB  
For i = 1 To 4 E7gHi$  
    If nb <= bb(i) Then tE]5@b,R  
       nb = bb(i)
x2C/L  
    End If 7|QGY7Tf  
Next i \5'O.*pr  
    rt(0) = Sqr(nb) }dX/Y/  
    rr = rt() Gefnk!;;  
  End If G@!_ZM8h  
        
/v"6BU  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  CoU3S,;*  

;SgD 5Ln}  
有热压工艺方面的人才或者资料分享下； :$=
|7v  
我公司主要做透镜类产品，现在有客户要审核我公司的导光膜工艺，头疼 kI%peb?  

高手真多！

楼主威武霸气.