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[snap] grip 3点圆弧

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梅雷工具箱发表于 2015-6-25 10:13:31 | 显示全部楼层 |阅读模式
$$ 3点圆弧(端点、端点、圆上任意点)
gripsw / declrv  
entity / pt(4),ln
number / num(4,3),r,aa(3)
number / resp,a,b,c,d,e,f,x,y

l10:
gpos/'梅雷提示!请选择端点1。',num(1,1..3),resp
jump/l10:,end:,,,resp


l20:
gpos/'梅雷提示!请选择端点2。',num(2,1..3),resp
jump/l10:,end:,,,resp

l30:
gpos/'梅雷提示!请选择任意点。',num(3,1..3),resp
jump/l20:,end:,,,resp

num(1,3)=0
num(2,3)=0
num(3,3)=0

ifthen/num(1,1..2)==num(3,1..2) and num(2,1..2)==num(3,1..2)
messg/'梅雷提示!3点不能共线。'
JUMP/L30:
endif

$$ 根据3点获得圆心num(4,1..3)和半径r
a=2*(num(2,1)-num(1,1))
b=2*(num(2,2)-num(1,2))
c=num(2,1)*num(2,1)+num(2,2)*num(2,2)-num(1,1)*num(1,1)-num(1,2)*num(1,2)
d=2*(num(3,1)-num(2,1))
e=2*(num(3,2)-num(2,2))
f=num(3,1)*num(3,1)+num(3,2)*num(3,2)-num(2,1)*num(2,1)-num(2,2)*num(2,2)
x=(b*f-e*c)/(b*d-e*a)
y=(d*c-a*f)/(b*d-e*a)
r=sqrtf((x-num(1,1))*(x-num(1,1))+(y-num(1,2))*(y-num(1,2)))
num(4,1)=x
num(4,2)=y
num(4,3)=0

pt(1)=point/num(1,1..3)
pt(2)=point/num(3,1..3)
pt(3)=point/num(2,1..3)
pt(4)=point/num(4,1..3)

aa(1)=ANGLF(pt(4),pt(1))
aa(2)=ANGLF(pt(4),pt(2))
if/aa(2)<aa(1),aa(2)=aa(2)+360
aa(3)=ANGLF(pt(4),pt(3))
if/aa(3)<aa(2),aa(3)=aa(3)+360
if/aa(3)<aa(2),aa(3)=aa(3)+360

ifthen/aa(3)-aa(1)>360
ln=circle/pt(3),pt(2),pt(1)
else
ln=circle/pt(1),pt(2),pt(3)
endif

if/a(3)-a(1)==0,jump/L3:

delete/pt

end:
halt


L3:
messg/'梅雷提示!无效的三点,请重新选择。'
jump/L10:



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