[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： a(BC(^1!  
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图片:2.jpg

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关键点说几个： l}<s~
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1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 0>.'w\,87B  
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 fh,Y#.V`  
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 %7V?7BE  

以下是几个重要的函数： b!UT<:o  
1.判断点在区域中函数 DpTQPu9  
2.计算夹角函数 @zPWu}&m  
3.转置函数 oXz:zoN
Q  
4.得到区域中心点，及区域半径函数 Zl* HT%-5  
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） ~%sDQt\S  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 z{AfR2L  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 2>s:wABb /  
   cax = x2 - x1 wGbD%=  
   cay = y2 - y1 67f#Z&r2k  
   cbx = x2 - x3 ^ *m;![$[  
   cby = y2 - y3 >r{,$)H0  
   mo_jj = cax * cbx + cay * cby 7eu7ie6  
   mo_ca = Sqr(cax * cax + cay * cay) lYq R6^  
   mo_cb = Sqr(cbx * cbx + cby * cby) 2M|jWy_  
   cos_acb = mo_jj / (mo_ca * mo_cb) 6idYz"P %  
   'ff_cos = cos_acb I-+D+DhRx  
   If cos_acb >= 1 Then qt3\*U7x  
   nn = 0 Bv/v4(G5g  
   ElseIf cos_acb <= -1 Then #<l;YT8  
   nn = 3.14159265258979 dyu~T{  
   Else z+wBZn{0I  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ^>]p4Q3 6  
   End If a*vi&$@`Z1  
   'ff_angle = nn -<CBxyZa&  
   ff_angle = nn * 180 / 3.14159265258979 ?K}/b[[0v  
End Function

'判断点在区域内函数 i) :Q{[D  
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 t0hg!_$bq  
Dim aob, boc, cod, doa, sum As Single $g#%  
  If ppx = p1x And ppy = p1y Then `_z8DA}E  
     point_in = True ][#]4_  
     Exit Function 5qUyOkI  
  End If yPuT%H&i  
  If ppx = p2x And ppy = p2y Then Vx?a&{3]
-  
     point_in = True &~uzu{  
     Exit Function t[0gN:s  
  End If Ue~M.LZb  
   If ppx = p3x And ppy = p3y Then ?2DYz"/')  
     point_in = True OSsdB%bIu`  
     Exit Function -,}f6*  
  End If +FyG{1?<  
     8'/vW~f  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) >_tn7Z0L  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) s6!aGZ  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) |P~TZ  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) M(SH3~  
    sum = aob + boc + cod + doa c1!h;(&  
    If 360.01 > sum And sum > 359.99 Then Q>= :$I  
       point_in = True \$GlB+ iCx  
    Else '6[0NuB  
       point_in = False JAc-5e4  
    End If ~eE2!/%9  
End Function

'得到点半径,得到交点坐标函数 #!C/~"Y*`|  
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() #k5Nnv#(J  
    '求得中心点坐标 "J3@Z,qW  
Dim tt As String zc\e$MO  
Dim rt(3) As Single )Q&:$]  
    '判断是否平行 )t&j0`Yq  
   acx = p3x - p1x 1Ep!U#Del  
   acy = p3y - p1y NKh"x&R  
   bdx = p4x - p2x >o%.`)Ar  
   bdy = p4y - p2y >>FE?@  
   If acx * bdy = acy * bdx Then ]Dd=q6  
      rt(0) = 0 fg^$F9
@  
      Exit Function ebp18_a|  
   Else {!Jw+LPv$$  
      '判断斜率存在否 kk )9!7  
      If p1x = p3x And p2x <> p4x Then |^8l8u  
         tt = "ac_n_bd_y" 9<G-uF  
      ElseIf p1x <> p3x And p2x = p4x Then <jY"+@rF  
         tt = "ac_y_bd_n" #-Ehg4W  
      ElseIf p1x <> p3x And p2x <> p4x Then nsuK{8}@  
         tt = "ac_y_bd_y" m ['UV2  
      End If '%l<33*  
    Select Case tt Y Dq5%N`  
         Case "ac_n_bd_y" C`%cPl  
            'bd线段方程 ][I}yOD70  
            k_bd = bdy / bdx x?y)a9&Hm  
            b_bd = p2y - k_bd * p2x h/mmV:v  
            p_x = p1x TW7jp  
            p_y = k_bd * p_x + b_bd :l'61$=  
         Case "ac_y_bd_n" mi`!'If0)  
            'ac线段方程 48Vmz  
            k_ac = acy / acx )t0Y-),vA  
            b_ac = p1y - k_ac * p1x .m9s+D]fI  
            p_x = p2x GNgPf"}K  
            p_y = k_ac * p_x + b_ac *G7/  
        Case "ac_y_bd_y" 6f v{?0|  
           'ac，bd线段都要求 ,Hlbl}.ls  
           k_ac = acy / acx x4r\cL1!  
           b_ac = p1y - k_ac * p1x ,Tvfn`;(  
           k_bd = bdy / bdx >\+c@o[  
           b_bd = p2y - k_bd * p2x :&S6AP  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) I'Ui` :A  
           p_y = k_ac * p_x + b_ac mG*[5?=r  
        End Select >ZTRwy`_(  
      rt(1) = p_x ?suxoP%  
      rt(2) = p_y V\5ZRLawP  
     jgQn^  
'计算最大半径 p~J|l$%0rQ  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 'avzESe~'  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) x\z*iv  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) p%/

Z  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) (&H-v'a}3  
Dim bb(5) As Single [K1RP.  
  bb(1) = rr1 wJ,l"bnq  
  bb(2) = rr2 VEj-%"\  
  bb(3) = rr3 4^/MDM@  
  bb(4) = rr4
6q-X$  
  nb = rr1 G6]W'Kk  
For i = 1 To 4 (,*e\o  
    If nb <= bb(i) Then efW<  
       nb = bb(i) f*)8bZDD  
    End If Q"itV&d
,  
Next i #e|G!'wdj  
    rt(0) = Sqr(nb) 5 YjqN  
    rr = rt() 'M8wjU  
  End If t@m!k+0  
         Osz:23(p  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ZsnFuk#W  

9I1D'7wI^^  
有热压工艺方面的人才或者资料分享下； T5<851rH  
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 |^:qJ;dOP  

高手真多！

楼主威武霸气.