[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： ^[:9fs  
6bc337b  
oj.A,Fh  

关键点说几个： pC,o2~%{  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） !H][LXB~H  
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 gB,G.QM*6  
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 D:\g,\Z  

以下是几个重要的函数： o;"OSp  
1.判断点在区域中函数 @xsP5je]  
2.计算夹角函数 }G46g#_6d>  
3.转置函数 v<\A%  
4.得到区域中心点，及区域半径函数 .Jb$l$5'w  
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） ^62|d  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ?i\B^uB  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single T`/IO.2  
   cax = x2 - x1 WzW-pV]  
   cay = y2 - y1 O/%< }3Sq  
   cbx = x2 - x3 ~cAZB9Fa  
   cby = y2 - y3 !2CL1j0(  
   mo_jj = cax * cbx + cay * cby G |*(8r()  
   mo_ca = Sqr(cax * cax + cay * cay)
vqslirC  
   mo_cb = Sqr(cbx * cbx + cby * cby) %HQ.|  
   cos_acb = mo_jj / (mo_ca * mo_cb) ;T]d MfO  
   'ff_cos = cos_acb _fFU#k:MU  
   If cos_acb >= 1 Then gV1[3dW  
   nn = 0 V=I"-k}RL  
   ElseIf cos_acb <= -1 Then @4~=CV%j  
   nn = 3.14159265258979 F1;lQA*7K.  
   Else <[aDo%,A  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) eC DIwB28  
   End If :WGtR\tK  
   'ff_angle = nn z_;3H,z`  
   ff_angle = nn * 180 / 3.14159265258979 m4K* <  
End Function

'判断点在区域内函数 JG`Q;K  
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 @r(Z%j7  
Dim aob, boc, cod, doa, sum As Single #H [Bb2(j  
  If ppx = p1x And ppy = p1y Then #BVtL :x@  
     point_in = True XKL3RMF9r  
     Exit Function sML=5=otx  
  End If QB!~Wh  
  If ppx = p2x And ppy = p2y Then -F&U  
     point_in = True _i_Q?w`  
     Exit Function rj]F87"  
  End If 8eIUsI.o  
   If ppx = p3x And ppy = p3y Then |rw%FM{F  
     point_in = True z2gk[zY&  
     Exit Function
Th[f9H%  
  End If qL$a c}`  
     A$0H .F>  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) d9*hBm  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) TQX)?^Ft  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) l}^3fQXI  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) =.<@`1  
    sum = aob + boc + cod + doa 0l*]L`]L#  
    If 360.01 > sum And sum > 359.99 Then nZ1zJpBmI  
       point_in = True (GnuWc\p  
    Else ~9^)wCM+  
       point_in = False ,&PE6hn  
    End If 5S Xn?  
End Function

'得到点半径,得到交点坐标函数 )M=ioE8`h  
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() R2etB*k6[  
    '求得中心点坐标 ;Mm7n12z C  
Dim tt As String ^m#-9-`  
Dim rt(3) As Single ` 8W*  
    '判断是否平行 'ckQg=zPR  
   acx = p3x - p1x eAUcv`[#p  
   acy = p3y - p1y 5Dp#u  
   bdx = p4x - p2x sb:d>6  
   bdy = p4y - p2y J]W5[)L  
   If acx * bdy = acy * bdx Then uZa9zs=}c  
      rt(0) = 0 7*j (*  
      Exit Function K]/4qH$:  
   Else W)'*m-I  
      '判断斜率存在否 V^y^ ;0I}[  
      If p1x = p3x And p2x <> p4x Then Z UKf`m[  
         tt = "ac_n_bd_y" U<XSj#&8|  
      ElseIf p1x <> p3x And p2x = p4x Then _(J&aY\  
         tt = "ac_y_bd_n" @3fn)YQ'  
      ElseIf p1x <> p3x And p2x <> p4x Then 9[!,c`pw  
         tt = "ac_y_bd_y" _AV1WS;^^8  
      End If O/:UJ( e{  
    Select Case tt tH=
P6vY  
         Case "ac_n_bd_y" ^@P1 JNe  
            'bd线段方程 8u[-'pV!  
            k_bd = bdy / bdx }:: S0l  
            b_bd = p2y - k_bd * p2x _'4A|-9  
            p_x = p1x %0#1t 5g  
            p_y = k_bd * p_x + b_bd F4=}}k
U  
         Case "ac_y_bd_n" d]9U^iy  
            'ac线段方程 %h1N3\y9i(  
            k_ac = acy / acx sGvIXD  
            b_ac = p1y - k_ac * p1x ntNI]~z&  
            p_x = p2x *5bLe'^\|K  
            p_y = k_ac * p_x + b_ac \xg]oKbn  
        Case "ac_y_bd_y" ' |-JWH  
           'ac，bd线段都要求 W\1i,ew>  
           k_ac = acy / acx }QZQ3@  
           b_ac = p1y - k_ac * p1x !+u"3;%h  
           k_bd = bdy / bdx f3`7t
A  
           b_bd = p2y - k_bd * p2x sLE#q+W  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 2VW}9O  
           p_y = k_ac * p_x + b_ac at2FmBdu C  
        End Select oYWR')8g  
      rt(1) = p_x dr4
Z5mw"E  
      rt(2) = p_y zByT$P-  
     >-&R47G  
'计算最大半径 CJ}5T]WZ  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) `1:{0p2q  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) h
|X^dQb]  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) q2HYiH^L  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ]v+31vdf:O  
Dim bb(5) As Single
lRh9j l  
  bb(1) = rr1 cqxVAzb  
  bb(2) = rr2 ;Eu3[[V  
  bb(3) = rr3 9Fn\FYUq  
  bb(4) = rr4 Jk,;JQ  
  nb = rr1 m%?V7-9!k  
For i = 1 To 4 IK*07h/!  
    If nb <= bb(i) Then r$)w7Gk<  
       nb = bb(i) x@8a''  
    End If P2Vg4   
Next i ybp 
-$e  
    rt(0) = Sqr(nb) E*i#?u  
    rr = rt() &/,|+U[  
  End If r'gOVi4t1*  
         F;^F+H  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15) 
fum0>tff  

A<ynIs<  
有热压工艺方面的人才或者资料分享下； b".L_Ma1*  
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 LW(6$hpPp  

高手真多！

楼主威武霸气.