[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： }%z%}V@(&  
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图片:2.jpg

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关键点说几个： \PU
JD,9H  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） tv.<pP9-C  
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 HFI0\*xn(  
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 dJ m9''T')  

以下是几个重要的函数： >Rd~-w)!|  
1.判断点在区域中函数 nvT@'y+  
2.计算夹角函数 pm,xGo2  
3.转置函数 #MlpOk*G  
4.得到区域中心点，及区域半径函数 P3
: t 4^  
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） WA"~6U*  
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]!hP^^  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single y'`/^>.  
   cax = x2 - x1 V7Cnu:0_  
   cay = y2 - y1 LCH\;07V#  
   cbx = x2 - x3 l^9gFp~I  
   cby = y2 - y3 <cp9+P
<  
   mo_jj = cax * cbx + cay * cby Vv}R S@4U  
   mo_ca = Sqr(cax * cax + cay * cay) ^ls@Gr7`P  
   mo_cb = Sqr(cbx * cbx + cby * cby) `.@sux!lu  
   cos_acb = mo_jj / (mo_ca * mo_cb) X!ruQem /  
   'ff_cos = cos_acb ;_e9v,  
   If cos_acb >= 1 Then |cf-S8pwY  
   nn = 0 @m9pb+=v  
   ElseIf cos_acb <= -1 Then WC`h+SC`.  
   nn = 3.14159265258979 w,LmAWZ4Y  
   Else {uaDpRt  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) gCb+hQq\  
   End If vKG\8+  
   'ff_angle = nn %7 bd}sJ#  
   ff_angle = nn * 180 / 3.14159265258979 {fzX2qMZ]  
End Function

'判断点在区域内函数 6:#o0OeBP  
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 AygdAg'\  
Dim aob, boc, cod, doa, sum As Single vn^O m-\  
  If ppx = p1x And ppy = p1y Then K {' atc  
     point_in = True SKL4U5D{  
     Exit Function $v;WmYTJ  
  End If S{+t>en  
  If ppx = p2x And ppy = p2y Then iWf+wC|  
     point_in = True _-_iw&F  
     Exit Function \%a0Lp{ I  
  End If c`!e#w  
   If ppx = p3x And ppy = p3y Then d&FXndC4F  
     point_in = True c,~uurVi  
     Exit Function yxt"vm;  
  End If 5E'/8xpbB  
     Dt: Q$  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) s|Mo3_>  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ?}cmES kX@  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) #KJ# 1  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) *(OG+OkC  
    sum = aob + boc + cod + doa ?.46X^  
    If 360.01 > sum And sum > 359.99 Then @sLN  
       point_in = True fs'SCwx  
    Else ; j!dbT~5  
       point_in = False f8:nKb>nq$  
    End If e"S?qpJK  
End Function

'得到点半径,得到交点坐标函数 z{rV|vQ  
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() BPO5=]W 7  
    '求得中心点坐标 DhyR
 
Dim tt As String n~I-mR)"  
Dim rt(3) As Single fN&\8SPE  
    '判断是否平行 E!9WZY  
   acx = p3x - p1x %biie  
   acy = p3y - p1y g<j)   
   bdx = p4x - p2x [CJ<$R !  
   bdy = p4y - p2y JQ03om--(  
   If acx * bdy = acy * bdx Then <w2h@ea  
      rt(0) = 0 7iP+!e}$.  
      Exit Function k
eAoJeG,J  
   Else a{nR:zPE  
      '判断斜率存在否 ?\V#^q-  
      If p1x = p3x And p2x <> p4x Then X4V>qHV72  
         tt = "ac_n_bd_y" eY<<Hld  
      ElseIf p1x <> p3x And p2x = p4x Then S^rf^%  
         tt = "ac_y_bd_n" k1wIb']m]z  
      ElseIf p1x <> p3x And p2x <> p4x Then l_h:S`z.  
         tt = "ac_y_bd_y" *S,~zOYN  
      End If VQ9A/DH/  
    Select Case tt 6'#5Dqw"r  
         Case "ac_n_bd_y" =:]ps<Qx  
            'bd线段方程 r<vMp'u  
            k_bd = bdy / bdx =1IK"BA2?  
            b_bd = p2y - k_bd * p2x _SBbd9  
            p_x = p1x W@d&X+7e
 
            p_y = k_bd * p_x + b_bd 2aYBcPFQh#  
         Case "ac_y_bd_n" g:Hj1!'  
            'ac线段方程
^&>B,;Wu  
            k_ac = acy / acx ?o" Vkc:  
            b_ac = p1y - k_ac * p1x h&0zR#t  
            p_x = p2x [^qT?se{  
            p_y = k_ac * p_x + b_ac P 45Ir
ir  
        Case "ac_y_bd_y" |:eTo<  
           'ac，bd线段都要求 e5'I W__  
           k_ac = acy / acx 42dv3bE"  
           b_ac = p1y - k_ac * p1x .&^
p@A~  
           k_bd = bdy / bdx }+@9[Q L  
           b_bd = p2y - k_bd * p2x [HILK`@@  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 0kE[=#'.'  
           p_y = k_ac * p_x + b_ac j?K$w`  
        End Select J2z/XHS  
      rt(1) = p_x <*(Z}p  
      rt(2) = p_y i~';1 .g  
     |v!N1+v0  
'计算最大半径 oZBD.s  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) FZi@h  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) f$lb
.fy5  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) p'jc=bL E  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Hyb(.hlZh  
Dim bb(5) As Single YG\#
N+D  
  bb(1) = rr1 :q9!  
  bb(2) = rr2 ,L<JG  
  bb(3) = rr3 NqD]p{>Y  
  bb(4) = rr4 <M:BN6-yG  
  nb = rr1 JK/{IkF  
For i = 1 To 4 %Ig$:I(o  
    If nb <= bb(i) Then rFXdxRP;M  
       nb = bb(i) fL*7u\m:  
    End If q`<vY'&1  
Next i Gx C+lqH#  
    rt(0) = Sqr(nb) -XBZ1q  
    rr = rt() 2zC4nF)>O  
  End If iWCYK7c@.-  
         bmG`:_  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  
ma<uXq  

f|F=)tJO  
有热压工艺方面的人才或者资料分享下； &#gh :5  
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 rKT.~ZP\  

高手真多！

楼主威武霸气.