[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： Fb``&-Qm:  
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图片:2.jpg

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关键点说几个： nM; G; T  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） kR6 t .  
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 wrO>#`Z  
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=#p w*w  

以下是几个重要的函数：
/,Rc
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1.判断点在区域中函数 [)3 U])w/  
2.计算夹角函数 f^)uK+:.  
3.转置函数 y@M}T{,/  
4.得到区域中心点，及区域半径函数 (J*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） x}.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 (b%y$D  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ;a#*|vx  
   cax = x2 - x1 b;L>%;  
   cay = y2 - y1 ~u0xXfv#  
   cbx = x2 - x3 v'Vt .m&9&  
   cby = y2 - y3 tQ~<i %;  
   mo_jj = cax * cbx + cay * cby 3l%,D: ?  
   mo_ca = Sqr(cax * cax + cay * cay) 5}
eQaW48  
   mo_cb = Sqr(cbx * cbx + cby * cby) /u)Rppu  
   cos_acb = mo_jj / (mo_ca * mo_cb) UQ3@@:L_  
   'ff_cos = cos_acb "XNu-_$N<a  
   If cos_acb >= 1 Then h/Hl?O8[  
   nn = 0 s8_aL)@f  
   ElseIf cos_acb <= -1 Then VD24X  
   nn = 3.14159265258979 _(6`{PWY  
   Else +~d1;0l|  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) nG"n-$A?<  
   End If lRDxIuTK  
   'ff_angle = nn vJRnBq+y  
   ff_angle = nn * 180 / 3.14159265258979 Xlv#=@;O]  
End Function

'判断点在区域内函数 53 @oP  
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 X>8-`p  
Dim aob, boc, cod, doa, sum As Single u7;`4P:o@  
  If ppx = p1x And ppy = p1y Then ImIqD&a-h  
     point_in = True 3;*z3;#}  
     Exit Function &%^K,Q"  
  End If :l+_ja&o  
  If ppx = p2x And ppy = p2y Then )Zas x6`  
     point_in = True EeCFII  
     Exit Function naz:A  
  End If mD7}
t  
   If ppx = p3x And ppy = p3y Then Dg~ [#C-  
     point_in = True E0QPE5_  
     Exit Function v~"Ef_`  
  End If {FWyu5.  
     d.`&0  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) OX+hZ<y  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) yRC3 .[  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) QY@u}&m%o  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) '[nmFCG%m*  
    sum = aob + boc + cod + doa -Q$b7*"z(  
    If 360.01 > sum And sum > 359.99 Then
0Uw ^FcW  
       point_in = True xW>ySEf  
    Else R2 lXTW*  
       point_in = False V&i2L.{G)  
    End If uEx9-,!  
End Function

'得到点半径,得到交点坐标函数 gn ?YF`  
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() L8&D(wh/f  
    '求得中心点坐标 +xp]:h|  
Dim tt As String i#W*'  
Dim rt(3) As Single 6|!NLwa  
    '判断是否平行 p|qyTeg  
   acx = p3x - p1x cp6WMHLj   
   acy = p3y - p1y OeElMRU"  
   bdx = p4x - p2x @{d\j]Nw  
   bdy = p4y - p2y 3yV'XxC  
   If acx * bdy = acy * bdx Then E0l_--  
      rt(0) = 0 |`O7nOM  
      Exit Function p&N#_dmlH  
   Else x83a!9  
      '判断斜率存在否 TDNf)Mm  
      If p1x = p3x And p2x <> p4x Then }Hcx=}j  
         tt = "ac_n_bd_y" U \oy8FZ  
      ElseIf p1x <> p3x And p2x = p4x Then aeP[+I9  
         tt = "ac_y_bd_n" PmX2[7  
      ElseIf p1x <> p3x And p2x <> p4x Then
~
i0R^qfr  
         tt = "ac_y_bd_y" "Fnq>iR-  
      End If izZ=d5+K  
    Select Case tt @jy41eIo  
         Case "ac_n_bd_y" NwlU%{7W6  
            'bd线段方程 p9qKLJ*.C  
            k_bd = bdy / bdx aM=D84@  
            b_bd = p2y - k_bd * p2x OMrc_)he\  
            p_x = p1x BiwieF4x  
            p_y = k_bd * p_x + b_bd 4QHS{tj  
         Case "ac_y_bd_n" aelO3'UN  
            'ac线段方程 ~I=Y{iM  
            k_ac = acy / acx G"SBYU  
            b_ac = p1y - k_ac * p1x ]wVk+%
e  
            p_x = p2x 3gZ8.8q3  
            p_y = k_ac * p_x + b_ac G$M9=@Ug  
        Case "ac_y_bd_y" #qBr/+b  
           'ac，bd线段都要求 lUOvm\  
           k_ac = acy / acx ]< l6s  
           b_ac = p1y - k_ac * p1x K=::)/{P  
           k_bd = bdy / bdx ?~e
3&ux  
           b_bd = p2y - k_bd * p2x |*5
=_vF  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) / ~%KVe  
           p_y = k_ac * p_x + b_ac CY:d`4  
        End Select )!bUR\  
      rt(1) = p_x hZXXBp  
      rt(2) = p_y /phX
'xp  
     ;|T!#@j  
'计算最大半径 F9"w6;hh  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) o G*5f  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) n.MRz WJpZ  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) %]gTm7 =t  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) n: ui  
Dim bb(5) As Single S{t+
>/  
  bb(1) = rr1 Qd_6)M-  
  bb(2) = rr2 JCx WWre  
  bb(3) = rr3 1@48BN8cm'  
  bb(4) = rr4 ^|~mlY@w  
  nb = rr1 ^ 2GHe<Y  
For i = 1 To 4 1/1Xk,E  
    If nb <= bb(i) Then lz#GbXn.  
       nb = bb(i) 1d"Z>k:mn  
    End If :K`ESq!8u  
Next i EKEjv|_)  
    rt(0) = Sqr(nb) S1Z2_V  
    rr = rt() fqX"Lus `=  
  End If ptatzp]c#  
         ]wT 7*( Y  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  4A9{=~nwT  

N{-]F|XX  
有热压工艺方面的人才或者资料分享下； #GJ dZ  
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 tDr#H!2 3  

高手真多！

楼主威武霸气.