[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： }\DQxHG  
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关键点说几个： }b^lg&$(  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） #129 i2  
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 0?h .X=G  
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 +{w&ksk  

以下是几个重要的函数： Mvh_>-i  
1.判断点在区域中函数 }00e@a  
2.计算夹角函数 C(P$,;6  
3.转置函数 D?'y)](  
4.得到区域中心点，及区域半径函数 
NE4fQi?3  
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） %dU}GYL_  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 _2Z3?/Y  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single t_
rDXhM  
   cax = x2 - x1 ;^*!<F%t9R  
   cay = y2 - y1 zOOX>3^  
   cbx = x2 - x3 k#(cZ  
   cby = y2 - y3 YM|S<  
   mo_jj = cax * cbx + cay * cby h'x~"k1  
   mo_ca = Sqr(cax * cax + cay * cay) PpRO7(<cD  
   mo_cb = Sqr(cbx * cbx + cby * cby) ;" *`  
   cos_acb = mo_jj / (mo_ca * mo_cb) n:D*r$ C|p  
   'ff_cos = cos_acb FudD  
   If cos_acb >= 1 Then +CT$/k  
   nn = 0 4g9b[y~U  
   ElseIf cos_acb <= -1 Then sJ/e=1*  
   nn = 3.14159265258979 2>k)=hl:  
   Else eeZysCy+DY  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) vWH>k+9&X  
   End If Cpcd`y=IN  
   'ff_angle = nn ^^SfIK?p  
   ff_angle = nn * 180 / 3.14159265258979 *"\Q ~#W  
End Function

'判断点在区域内函数 O)uM&B=  
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 b6vYM_ Q  
Dim aob, boc, cod, doa, sum As Single pHB35=p28  
  If ppx = p1x And ppy = p1y Then JvL'gJ$70  
     point_in = True \_AEuz3 F  
     Exit Function 78CJ  
  End If Gc!8v}[7J  
  If ppx = p2x And ppy = p2y Then \%Rta$O?S  
     point_in = True =
awO63j>  
     Exit Function wrYQ=u#Z  
  End If $3.vVnc  
   If ppx = p3x And ppy = p3y Then H#6^-6;/  
     point_in = True hO.G'q$V  
     Exit Function psX%.95Y  
  End If |QOJ9~hxD  
     @) ZO$h  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) (Q8?)  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) <-:@} |br  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) #S%Y;ilq  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) `uZv9I"  
    sum = aob + boc + cod + doa +`zi>=  
    If 360.01 > sum And sum > 359.99 Then 9m!!b{  
       point_in = True Z/kaRnG[@t  
    Else 1D
LG]-j}  
       point_in = False .q`H`(QM  
    End If |8c:+8  
End Function

'得到点半径,得到交点坐标函数 gJ5
wAK+?  
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() |@Zq
wC=  
    '求得中心点坐标 ^jha:d  
Dim tt As String g"]<J&  
Dim rt(3) As Single lIVxW+  
    '判断是否平行 ,+/9K)X  
   acx = p3x - p1x $FQcDo|[  
   acy = p3y - p1y +*_fN ]M  
   bdx = p4x - p2x _TOi [GT  
   bdy = p4y - p2y K@jSr*\'  
   If acx * bdy = acy * bdx Then ?S@R~y0K  
      rt(0) = 0 S -
6"f/  
      Exit Function <F)w=_%&  
   Else )y`TymM[F  
      '判断斜率存在否 dT]L-uRZgy  
      If p1x = p3x And p2x <> p4x Then Xvu)  
         tt = "ac_n_bd_y" <,@H;|mZ  
      ElseIf p1x <> p3x And p2x = p4x Then <DXmZ1  
         tt = "ac_y_bd_n" KIKq9*  
      ElseIf p1x <> p3x And p2x <> p4x Then 1]>$5 1Q  
         tt = "ac_y_bd_y" [T4 pgt'H  
      End If L8:]`MQ0  
    Select Case tt 0Q$~
k  
         Case "ac_n_bd_y" ]^; b  
            'bd线段方程 7}d$*C  
            k_bd = bdy / bdx &$m=^  
            b_bd = p2y - k_bd * p2x i0'Xy>l  
            p_x = p1x gp$EXJ=  
            p_y = k_bd * p_x + b_bd ApG'jN  
         Case "ac_y_bd_n" XhE$&Ff  
            'ac线段方程 ?-8y4 Ex  
            k_ac = acy / acx rkfQr9Vc  
            b_ac = p1y - k_ac * p1x emv;m/&8  
            p_x = p2x C|4
U78f{  
            p_y = k_ac * p_x + b_ac }%!FMXe  
        Case "ac_y_bd_y" h-r6PY=i  
           'ac，bd线段都要求  Iys6R?~  
           k_ac = acy / acx M)"]$TM  
           b_ac = p1y - k_ac * p1x AZxrJ2G  
           k_bd = bdy / bdx 3`&VRF8  
           b_bd = p2y - k_bd * p2x ^91sl5c8yD  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) @[d#mz  
           p_y = k_ac * p_x + b_ac J4gI=@e  
        End Select G-\<5]k]  
      rt(1) = p_x 'bB>$E  
      rt(2) = p_y YKP=0 j3,  
     S}.\v<  
'计算最大半径 tLS<0  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) {A]k%74-a  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) _kn]#^ucCe  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) R=\v
3m  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ^273l(CZ1  
Dim bb(5) As Single t/JOERw  
  bb(1) = rr1 n 5~=qQK2  
  bb(2) = rr2 j:HH#U  
  bb(3) = rr3 9U2Px$E  
  bb(4) = rr4 CV!;oB&  
  nb = rr1 M[h1>}$Lz  
For i = 1 To 4 e
> ar  
    If nb <= bb(i) Then Q&u>7_, Du  
       nb = bb(i) 99F>n[5  
    End If GhqgRzX  
Next i 4)c+t"h  
    rt(0) = Sqr(nb) C
xJfrI_W  
    rr = rt() iY0,WT}&n  
  End If R'G'&H{N  
         C0\%QXu  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15) 
_y>}#6B  

YtMlqF  
有热压工艺方面的人才或者资料分享下； *y{+W   
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 N^lAG"Jao[  

高手真多！

楼主威武霸气.