[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： ofc.zwH  
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p?(L'q"WK  

关键点说几个： noVa=aU^  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ~d>%,?zz  
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 Z%o7f6P0IX  
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 4k}e28  

以下是几个重要的函数： d{+(Lpj^  
1.判断点在区域中函数 =6nD0i9+  
2.计算夹角函数 #mc!Wt10  
3.转置函数 }Ag|gF!_  
4.得到区域中心点，及区域半径函数 HB& &  
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） uK*|2U6t  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 kl7A^0Qrz  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single DQ6jT@ZDH  
   cax = x2 - x1 66:ALFwd7  
   cay = y2 - y1 XF,<i1ZlM  
   cbx = x2 - x3 "e62/Ejg%  
   cby = y2 - y3 ] pPz@@xx  
   mo_jj = cax * cbx + cay * cby B!,yfTk]  
   mo_ca = Sqr(cax * cax + cay * cay) hb^!LtF#Y  
   mo_cb = Sqr(cbx * cbx + cby * cby) sOC&Q&eg  
   cos_acb = mo_jj / (mo_ca * mo_cb) L'kq>1QWf  
   'ff_cos = cos_acb QX
Q  
   If cos_acb >= 1 Then bkQ3c-C<  
   nn = 0 7[o {9Yp&  
   ElseIf cos_acb <= -1 Then }C6@c1myq-  
   nn = 3.14159265258979 8OAg~mQ15(  
   Else ia{kab|_5  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) :$H!@n*/R  
   End If `F1dyf!p<  
   'ff_angle = nn Aka^e\Y@6*  
   ff_angle = nn * 180 / 3.14159265258979 [8]m8=n  
End Function

'判断点在区域内函数 `SOhG?Zo  
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 z+"0>ZN&  
Dim aob, boc, cod, doa, sum As Single <5ZJ]W  
  If ppx = p1x And ppy = p1y Then \3^Pjx  
     point_in = True epVH.u%  
     Exit Function -CU,z|g+  
  End If _T~H[&Hl  
  If ppx = p2x And ppy = p2y Then XZO<dhZX:  
     point_in = True #v8Cy|I  
     Exit Function (!n-Age  
  End If N$Hqa^!'T  
   If ppx = p3x And ppy = p3y Then `^%GN8d}nm  
     point_in = True 1g i}H)  
     Exit Function raQYn?[  
  End If >eo8  
     Ekf2NT  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) bj.]o*u-  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) \Da~p9T&  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) `u=<c  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) %HE
mi;  
    sum = aob + boc + cod + doa ? ).(fP  
    If 360.01 > sum And sum > 359.99 Then nHU3%%%cU  
       point_in = True z(UX't (q  
    Else :yD@5)  
       point_in = False A_Gp&acs$  
    End If Qa?QbHc  
End Function

'得到点半径,得到交点坐标函数 MZ
i8Fo'  
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() j)@oRWL<  
    '求得中心点坐标 EEg O  
Dim tt As String m2MPWy5s  
Dim rt(3) As Single qid1b b  
    '判断是否平行 B#4S/d{/  
   acx = p3x - p1x |Kn^w4mN  
   acy = p3y - p1y Sh47c4{  
   bdx = p4x - p2x h=mv9=x  
   bdy = p4y - p2y %w%zv2d  
   If acx * bdy = acy * bdx Then $YR{f[+L w  
      rt(0) = 0 Xa\]ua_  
      Exit Function Ot"(uW4$[  
   Else zN/Gy}  
      '判断斜率存在否 &:,fb]p  
      If p1x = p3x And p2x <> p4x Then ,XP@ pi  
         tt = "ac_n_bd_y" W.sD2f  
      ElseIf p1x <> p3x And p2x = p4x Then Jz2q\42q  
         tt = "ac_y_bd_n" C890+(D~  
      ElseIf p1x <> p3x And p2x <> p4x Then QD6Z=>?S  
         tt = "ac_y_bd_y" M,Po54u  
      End If oPE.gn_$  
    Select Case tt GY
TbeY  
         Case "ac_n_bd_y" CTh1;U20  
            'bd线段方程 n/:Z{  
            k_bd = bdy / bdx }8X:?S %  
            b_bd = p2y - k_bd * p2x
uof0Oc.  
            p_x = p1x JCBnFrP  
            p_y = k_bd * p_x + b_bd 9Z}S]-u/  
         Case "ac_y_bd_n" r]Z.`}Kkm  
            'ac线段方程 ]dQZ8yVK
 
            k_ac = acy / acx RH1U_gp4 ]  
            b_ac = p1y - k_ac * p1x 1W4H-/Re  
            p_x = p2x sV;qpDXX  
            p_y = k_ac * p_x + b_ac !vi4* @:  
        Case "ac_y_bd_y" ~MD><w>  
           'ac，bd线段都要求 ;2 \<M6  
           k_ac = acy / acx iNMLYYq]l  
           b_ac = p1y - k_ac * p1x H==X0  
           k_bd = bdy / bdx DDZTqsws  
           b_bd = p2y - k_bd * p2x $::51#^Wg  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) }:tAKO=+  
           p_y = k_ac * p_x + b_ac FkLQBpp(x  
        End Select :  ,|=Q}  
      rt(1) = p_x _LLW{^V  
      rt(2) = p_y ggzAU6J  
     P[r}(@0rJ  
'计算最大半径 !$4Q]@ }  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) pPU2ar  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 30:HRF(:  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) t4*aVHT  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ..sJtA8  
Dim bb(5) As Single F\I5fNs@  
  bb(1) = rr1 iFXUKGiV  
  bb(2) = rr2 =2Pz$q*ub  
  bb(3) = rr3 75' Ua$  
  bb(4) = rr4 BNF++<s  
  nb = rr1 YeR7*[l  
For i = 1 To 4 IhtmD@H}  
    If nb <= bb(i) Then m3x!*9h  
       nb = bb(i) |8b$x|
B  
    End If xow6@M,  
Next i %l0_PhAB  
    rt(0) = Sqr(nb) fLf#2EA  
    rr = rt() EVby 9!  
  End If @*AYm-k  
         +;{rU&  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  t,r&SrC  

p.W*j^';Q  
有热压工艺方面的人才或者资料分享下； osgS?=8  
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 _|5FrN  

高手真多！

楼主威武霸气.