[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： J'H}e F`  
xb22:  
\]y /EOT  

关键点说几个： >5c38D7k)  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） > %B7/l$
 
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 7~ =r9-&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 1 LUvs~Qu  

以下是几个重要的函数： 7S.E,\Tws  
1.判断点在区域中函数 <<~sw
N  
2.计算夹角函数 ^P~NE#p5  
3.转置函数 Zg;%$ kSQ  
4.得到区域中心点，及区域半径函数 Wa!}$q+  
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） ]7:*A7/!.  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 M%"{OHj!o  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single >#EOCo  
   cax = x2 - x1 \@F~4,VT  
   cay = y2 - y1 1!p7N$QR  
   cbx = x2 - x3 ||^+(  
   cby = y2 - y3 >(BAIjF E\  
   mo_jj = cax * cbx + cay * cby E;-*LT&{  
   mo_ca = Sqr(cax * cax + cay * cay) "*JyNwf  
   mo_cb = Sqr(cbx * cbx + cby * cby) u1) #^?  
   cos_acb = mo_jj / (mo_ca * mo_cb) JGG(mrvR  
   'ff_cos = cos_acb 3\E G  
   If cos_acb >= 1 Then <&MY/vV  
   nn = 0 cZl/8?dj}  
   ElseIf cos_acb <= -1 Then ZMGthI}~-  
   nn = 3.14159265258979 y\@INA^  
   Else #2*6esP  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) H%G|8,4  
   End If Dg'BlrwbR  
   'ff_angle = nn 0$:jZ/._  
   ff_angle = nn * 180 / 3.14159265258979 45U!\mG  
End Function

'判断点在区域内函数 6`V~cVu  
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 DM=`hyf(v  
Dim aob, boc, cod, doa, sum As Single SK t&BnW  
  If ppx = p1x And ppy = p1y Then %shCqS  
     point_in = True ~jDf,a2  
     Exit Function _0h)O  
  End If v/[*Pze,C  
  If ppx = p2x And ppy = p2y Then Rg\D-F6:  
     point_in = True Bhg,P.7  
     Exit Function 0}q
nq"  
  End If (Q F-=o  
   If ppx = p3x And ppy = p3y Then <Wa7$hF  
     point_in = True Vl`!6.F3  
     Exit Function XkEE55#>|  
  End If RhD
 
     X-j3=8wPM  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) W_RN@O  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) n#"N"6s  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) mIah[~G  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) f(E[jwy  
    sum = aob + boc + cod + doa 5KC Zg'h  
    If 360.01 > sum And sum > 359.99 Then /j"aOLL|  
       point_in = True |H&&80I  
    Else @BoZZ  
       point_in = False H{I,m-  
    End If nXAGwU8a  
End Function

'得到点半径,得到交点坐标函数 ]/{iIS_  
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() 1{.5X8y1x  
    '求得中心点坐标 N4$
K{  
Dim tt As String sfzDE&>'  
Dim rt(3) As Single NKMVp/66D  
    '判断是否平行 'H-hp   
   acx = p3x - p1x Tl L\&n.$  
   acy = p3y - p1y 2U&+K2  
   bdx = p4x - p2x >6Ody<JPHP  
   bdy = p4y - p2y ~ugH2jiB  
   If acx * bdy = acy * bdx Then 6[\1Nzy>  
      rt(0) = 0 hUe\sv!x?  
      Exit Function {Lugdf'  
   Else >/G[Oo  
      '判断斜率存在否 ih(Al<IS  
      If p1x = p3x And p2x <> p4x Then cQrXrij;!  
         tt = "ac_n_bd_y" bJ^Jmb  
      ElseIf p1x <> p3x And p2x = p4x Then 2?kVbF  
         tt = "ac_y_bd_n" -FQc_k?VF  
      ElseIf p1x <> p3x And p2x <> p4x Then gf70 O
>E  
         tt = "ac_y_bd_y" A@jBn6  
      End If gUH
|?@f  
    Select Case tt qJ[wVNHh!  
         Case "ac_n_bd_y" qAi:F=> X  
            'bd线段方程 ufo\p=pGG  
            k_bd = bdy / bdx :eFyd`Syw  
            b_bd = p2y - k_bd * p2x %J+k.UrM  
            p_x = p1x j+[
oZfH  
            p_y = k_bd * p_x + b_bd &(h@]F!  
         Case "ac_y_bd_n" xtK}XEhG!  
            'ac线段方程 &n]]OPo  
            k_ac = acy / acx
%lGT|XrY  
            b_ac = p1y - k_ac * p1x L'O=;C"f  
            p_x = p2x }c=YiH,o  
            p_y = k_ac * p_x + b_ac zQoJ8i>  
        Case "ac_y_bd_y" ;i!$rL  
           'ac，bd线段都要求 R0e!b+MZ.  
           k_ac = acy / acx )}@Z*.HZL  
           b_ac = p1y - k_ac * p1x )i[K1$x2  
           k_bd = bdy / bdx X0]Se(  
           b_bd = p2y - k_bd * p2x
L
s'8  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) )3^#C
D  
           p_y = k_ac * p_x + b_ac &/?OP)N,}  
        End Select )kIjZ  
      rt(1) = p_x MbeK{8~E%l  
      rt(2) = p_y `KUL4) g~  
     HpS1(%d"  
'计算最大半径 l $0w 9Z^  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) /4$ c-k  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ;iz3Bf1o  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) WS"v"J%  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) |nY+Nen7  
Dim bb(5) As Single \O)u' Bu  
  bb(1) = rr1 *~^%s+b  
  bb(2) = rr2 Q}uh`?t  
  bb(3) = rr3 XsX];I{E,  
  bb(4) = rr4 ^_/gM[H.  
  nb = rr1 = Q"(9[Az  
For i = 1 To 4 Y#FSU#a$<  
    If nb <= bb(i) Then aT8A+=K6  
       nb = bb(i) {6iHUK  
    End If 06I(01M1  
Next i !L)yI#i4C  
    rt(0) = Sqr(nb) m Gx{Vpt  
    rr = rt() i}@5<&J  
  End If ceAefKdb  
         A:*$rHbzl  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  U6 H@l#  

Y+"Gx;F>  
有热压工艺方面的人才或者资料分享下；  U66oe3W  
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 r'u[>uY  

高手真多！

楼主威武霸气.