[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： ~ 8hAmM  
D H}gvV  
=6o,{taZ.~  

关键点说几个： y:\ ^[y IQ  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） -5v2E-  
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 g(9\r  
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 _9@D o6  

以下是几个重要的函数： ;THb6Jz/+  
1.判断点在区域中函数 *)PCPYB^  
2.计算夹角函数 A..,.   
3.转置函数 pH#*:v!)  
4.得到区域中心点，及区域半径函数 <4
ca
G2~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.-g=R
cz  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 i&|fGX?-I  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single a!`b`r-4  
   cax = x2 - x1 .Pp;%  
   cay = y2 - y1 \,U#^Vr  
   cbx = x2 - x3 SAuZWA4g[  
   cby = y2 - y3 pHW Qk z(  
   mo_jj = cax * cbx + cay * cby Q}a, f75  
   mo_ca = Sqr(cax * cax + cay * cay) aD2+9?m  
   mo_cb = Sqr(cbx * cbx + cby * cby) )X8?m <cG  
   cos_acb = mo_jj / (mo_ca * mo_cb) =44hI86  
   'ff_cos = cos_acb kh11Y1Q0d  
   If cos_acb >= 1 Then 50s)5G#  
   nn = 0 WYHr'xJ  
   ElseIf cos_acb <= -1 Then lq4vX^S  
   nn = 3.14159265258979 {l/]+8G^  
   Else eSV_.uvsb  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 2r3]DrpJ  
   End If ;n-)4b]\  
   'ff_angle = nn n@3(bl
5{  
   ff_angle = nn * 180 / 3.14159265258979 (}$~)f#s  
End Function

'判断点在区域内函数 <Pg]V:=g'  
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 P#
_8$#G3  
Dim aob, boc, cod, doa, sum As Single ?[[K6v}q{  
  If ppx = p1x And ppy = p1y Then p1dqDgF*  
     point_in = True ^7l.!s#$b  
     Exit Function fO!S^<9,-  
  End If v>vU]6l  
  If ppx = p2x And ppy = p2y Then ELx?ph-9  
     point_in = True 9!XW):  
     Exit Function ^':Az6Z  
  End If MoKGnb  
   If ppx = p3x And ppy = p3y Then ` ,B&oV>  
     point_in = True Cm4$&?  
     Exit Function NNWbbU3wjh  
  End If 8}Pd- .se  
     P,S$qD*4  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ObDcNq/b!  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 0:W*_w0Ge  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) !Ua74C
 
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ~=t,g S  
    sum = aob + boc + cod + doa G$ l>By  
    If 360.01 > sum And sum > 359.99 Then V24i8Qx  
       point_in = True L{>XT
 
    Else u9AXiv+K  
       point_in = False Zi+>#kDV  
    End If jni }om  
End Function

'得到点半径,得到交点坐标函数 s'LY)_n  
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() o;o ji  
    '求得中心点坐标 >@b70X!J]  
Dim tt As String 8-cB0F=j_  
Dim rt(3) As Single q9-=>  
    '判断是否平行 P |c6V  
   acx = p3x - p1x axOdGv5  
   acy = p3y - p1y IX eb6j8  
   bdx = p4x - p2x NpRT\cx3  
   bdy = p4y - p2y [YT"UVI  
   If acx * bdy = acy * bdx Then F+vgkqs@9  
      rt(0) = 0 @].Ko[P~  
      Exit Function tzv&E0|d  
   Else uS3s  
      '判断斜率存在否  ]A;zY%>  
      If p1x = p3x And p2x <> p4x Then N|eus3\E  
         tt = "ac_n_bd_y" M*)}F  
      ElseIf p1x <> p3x And p2x = p4x Then ^s25z=^t  
         tt = "ac_y_bd_n" ZHxdrX)  
      ElseIf p1x <> p3x And p2x <> p4x Then g/+P]c6/  
         tt = "ac_y_bd_y" E Kks8  
      End If I:s#,!>  
    Select Case tt Bb];qYuCO  
         Case "ac_n_bd_y" 4LYeacL B  
            'bd线段方程 YPAMf&jEF  
            k_bd = bdy / bdx DSyfF&uC  
            b_bd = p2y - k_bd * p2x P@'<OI  
            p_x = p1x ,R=Mr}@u
 
            p_y = k_bd * p_x + b_bd ?6B n&qa  
         Case "ac_y_bd_n" 3O<:eS~  
            'ac线段方程 z65|NO6JW.  
            k_ac = acy / acx x$9UHEb kM  
            b_ac = p1y - k_ac * p1x 1btQ[a6j  
            p_x = p2x _X{ihf  
            p_y = k_ac * p_x + b_ac //VgPl  
        Case "ac_y_bd_y" =LHE_ AA  
           'ac，bd线段都要求 8>G3KZ3  
           k_ac = acy / acx ev>gh0  
           b_ac = p1y - k_ac * p1x 5nIm7vlQm  
           k_bd = bdy / bdx HK>!%t0S  
           b_bd = p2y - k_bd * p2x 79<{cexP  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) DPn]de:e  
           p_y = k_ac * p_x + b_ac IbQ3*  
        End Select )sG`sET]`f  
      rt(1) = p_x hKb-l`KO  
      rt(2) = p_y l>)0OP]  
     [ajF  
'计算最大半径 G"0YCi#I|  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) BY"<90kBL  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) M(o?I}  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) F*hOa|7/  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) [gFpFz|b<  
Dim bb(5) As Single ]O s!=rt  
  bb(1) = rr1 92+LY]jS  
  bb(2) = rr2 %qR
bl4  
  bb(3) = rr3 F*rU=cu  
  bb(4) = rr4 ',nGH|K.  
  nb = rr1 )r-t$ L  
For i = 1 To 4 AQ 3n=Lr   
    If nb <= bb(i) Then $-Q,@Bztq  
       nb = bb(i) t_c;4iE  
    End If |xyN#wi  
Next i wI\v5&X-B  
    rt(0) = Sqr(nb) 6rMGlzuRo  
    rr = rt() &Cp)\`
[y  
  End If j
x a?  
         tsR\cO~/  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  E8#RG-ci  

X'4e)E3*O  
有热压工艺方面的人才或者资料分享下； VE1 B"s</  
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 z%5i^P  

高手真多！

楼主威武霸气.