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在UG的二次开发中,通常需要使用向量来进行判断,此处给出常用的向量使用教程。以二维向量为例,三维以此类推。
7 F8 w6 L3 @$ [; d* {源代码如下!8 I: c2 Z+ N) s& b, O/ _5 O
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char msg[256];
; @% e2 V, K! Z0 p" l1 _( \. r" Uconst double vec1[2]={0.2,3.4};
# T4 s: z$ ^& Y! Lconst double vec2[2]={1.5,4.5};
R) y1 x9 _& m2 b& ]double scale = 1.5;
1 @. O' V% n6 A% I5 E+ b. ndouble scale1 = 1.3;
# q; P3 F, ^. r$ e7 ]) a! q, O8 cdouble scale2 = -1.1;) o w6 y. A3 D2 c2 @1 \0 ?
double sumVec[2],vec_comb[2],vec_perp[2];
6 l& n1 l ]! o3 P3 q+ z8 {8 fdouble oscale1,oscale2;5 F& c1 [ T5 f9 m2 e7 ^7 b( S
double tol = 0.0254;% U. h& `6 [/ a) U0 V
const double vec_src[2]={1,2};
, j0 S/ S/ D9 a. ]! h9 edouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];* a& x4 r0 E+ S9 H
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];. c. Y" j+ ?9 @ i; c- O( r
int isEqual,isParallel,isPerpen,isZero;
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double parameter = 0.5 ;
1 {% j* I4 o C2 Z1 n, X, Tdouble pnt1[2] = {0,0}; C8 d1 r$ ^/ O; Q1 y( J2 l9 }
double pnt2[2] = {2,5};
0 r$ v2 y6 z2 X/ r, [5 p4 ~' D* ydouble pnt_on_seg;
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2 T5 Z7 ~) W9 b# G2 O2 |( d' S/ H//------------------------------------------------------------------------------
8 K/ Y3 K4 ?& [0 w; l// Do something
1 }; S) M; }) }8 Y2 k4 k6 s//------------------------------------------------------------------------------
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# F3 J) E w$ z0 s6 Kvoid ufvecTest::do_it(); j6 X8 O3 S: p" _2 U1 ^0 J
{
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// TODO: add your code here) O( m l2 R @
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/* 8 \ z0 M$ P6 z1 F& { [9 ?
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1 UF_VEC2_add : 两个向量相加 & `0 `5 q2 G, {, l2 Y% P! E
vec1 + vec2 = sumVec# ]7 T E- ?2 f
======================
, F% E( B5 z5 y6 n; P4 c1 B */
* A* e9 ^* k& z5 P& `- t" l lw->Open();: M% p$ W0 g( A# W3 [; C$ n8 l' W. h7 w
UF_VEC2_add(vec1,vec2,sumVec);: O+ l; F+ ^; H8 I7 C5 }
sprintf_s(msg,sizeof(msg),"vec1{%f,%f}+vec2{%f,%f}={%f,%f}",vec1[0],vec1[1],vec2[0],vec2[1],sumVec[0],sumVec[1]);
9 V0 o1 k5 f% y* s' ? lw->WriteLine(msg);$ h o# J) h( i6 x. C8 O
+ A1 f6 l6 p# t/ G; P /*
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2 UF_VEC2_affine_comb : 仿射变换$ K) A m o, X: e8 R
vec_comb = vec1 + scale * vec2;
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*/
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);; U# y' U) |3 k" H
sprintf_s(msg,sizeof(msg),"vec1{%f,%f}+%f * vec2{%f,%f}={%f,%f}",vec1[0],vec1[1],scale,vec2[0],vec2[1],vec_comb[0],vec_comb[1]);
; P0 m1 i; b' A/ Y6 S* I lw->WriteLine(msg);
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/* # V* j& V% c2 a' \. b
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 / A1 H# r7 u; w' F% s/ C* X
vec1.vec_perp = 0
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
( r j, g- i8 F sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
% D+ |1 l. M( m0 i lw->WriteLine(msg);* |) J5 l/ s& ]8 a3 ~
: u7 j% \3 I- n$ j) \% F /* 0 O" ` S4 l# k9 a
======================
9 m) I# R- `. I9 c. Y 4 UF_VEC2_components : 求出垂直的向量
" W9 M/ ^! V/ ]" h5 @$ W vec_comb = scale1 vec1 + scale2 vec2
! i+ Q6 K6 `5 O: R: U4 p 返回: 0 可计算 1 平行* ]. G1 V9 O( l2 T; R
======================
1 w- l4 M# ?% G" |: a) o */
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; Z/ Q* w. c2 P. ~. l& d" W. H int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
* M9 X9 o9 @$ s9 S& U1 Z* t sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);: T9 g( F4 @0 E$ k/ t/ s
lw->WriteLine(msg);" C2 w; j) m9 t+ E0 Y2 k* R4 O
& p2 n8 w' k ?- X /* . a+ w! v3 W' ^, V
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
# S: x2 p+ A# g- |* v6 V pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). " b5 Z1 d" |2 x/ }" v2 p+ V
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h0 p5 w( M+ d* w/ u UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);3 G" U, s: R7 u. X( A6 D @
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
' c; z* Q8 ~9 j! ^4 n" \" I6 C, c' n lw->WriteLine(msg);4 K- y$ W$ }0 g% W: \- ]6 m8 `
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/*
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% B# o9 B0 G* \+ P$ ] 6 UF_VEC2_copy : 向量拷贝- C3 m: U- ?/ W$ v+ s- f5 Z! z. z
vector (vec_dst = vec_src).
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UF_VEC2_copy(vec_src,vec_dst);
U- i/ Q, c( M+ L3 r$ U sprintf_s(msg,sizeof(msg),"vec_src = {%f,%f}\tvec_dst = {%f,%f}",vec_src[0],vec_src[1],vec_dst[0],vec_dst[1]);
0 K# C; E; L6 C3 Y$ m) K lw->WriteLine(msg);; i* L! Q8 ~# q& }
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/*
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6 O; C& u6 b6 s3 j; Y/ t7 Q9 G 7 UF_VEC2_cross : 向量向量积
% J% G& L. o; d1 |* d cross_product = vec1 x vec2
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UF_VEC2_cross(vec1,vec2,&cross_product);
2 w2 i# d& `) B" k sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);3 N; F' N, p+ }/ ]7 ]
lw->WriteLine(msg);1 f0 L# h( U# j" ]9 I7 i6 d# A
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/*
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1 I6 F! B/ m2 e 8 UF_VEC2_dot : 向量数量积
( x$ f s* ?) L1 D/ _& N7 e cross_product = vec1 . vec22 B% p3 Q5 C) `! H
======================
; `$ |0 U- U1 P5 w: X */
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UF_VEC2_dot(vec1,vec2,&cross_product);
% {3 r! _1 n$ j& { sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
( Y9 A# i9 ?1 Q5 }7 o* E lw->WriteLine(msg);" Q N/ ^/ P& p, g6 r! P; P, p5 O
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/* + p- k! y5 P/ J3 r; z9 A- D1 f( X
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9 UF_VEC2_distance : 两点距离, S' F7 o/ ?0 O6 z
(distance = ||pnt1 - pnt2||)
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UF_VEC2_distance(vec1,vec2,&distance);; G. u6 @$ h, ?/ d4 y
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
6 {: z n5 I1 j- g( L% J$ k lw->WriteLine(msg);9 a- w, `5 V7 s& Z( k
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======================
2 K2 m' d" A. _3 o* _ 10 UF_VEC2_is_XX : 判断矢量关系: S6 P& {- b/ M$ S" G: L) |& C8 @
0 = false1 d. [! ~/ R$ k
1 = true
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等' N% G7 I: f6 v4 \( q2 c( u6 R" o& I" q$ Y
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行% z0 s2 h1 |+ M2 G1 s/ i) v" [
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
+ b1 J1 p8 c! n5 W% @6 ]3 L) V UF_VEC2_is_zero(vec1,tol,&isZero);//为0/ Y4 ^, S/ f" @8 x2 {3 i/ @
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sprintf_s(msg,sizeof(msg),"vec1{%f,%f},ve2{%f,%f} is %d equal,%d parallel,%d perpendicular,%d zero",vec1[0],vec1[1],vec2[0],vec2[1],isEqual,isParallel,isPerpen,isZero);
+ ]0 H# W- I# w" q# s" w3 I, `/ ` lw->WriteLine(msg);8 |2 Y+ F3 q/ j1 [' F: S3 y
! O/ j8 W* j" t: I. A+ o5 O2 V /* 3 M% E. l' b1 C6 ^' s' T. p2 i
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11 UF_VEC2_linear_comb : 线形组合
5 C1 T* u$ @/ U) y$ S+ f- M vec_comb = (scale vec1) + (scale2 vec2)
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*/
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% A4 W& u- \$ J* {& {- K. b+ @ UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);
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sprintf_s(msg,sizeof(msg),"vec_comb = (%f {%f,%f}) + (%f {%f,%f}) = {%f,%f}",scale1,vec1[0],vec1[1],scale2,vec2[0],vec2[1],vec_comb[0],vec_comb[1]);/ y+ W% ^6 d, P& r7 B+ i8 A& T" h
lw->WriteLine(msg);
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/* 8 I1 R: y3 a# `* p7 x" Z6 F5 l
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12 UF_VEC2_mag : 向量模# H' w% [- d6 j8 x
magnitude = ||vec||) o+ e, X( E% }' g/ g, I' O, p2 _
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*/
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UF_VEC2_mag(vec1,&magnitude);
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);7 \7 I8 o, m' }
lw->WriteLine(msg);( T1 i6 I4 j8 E( `7 s) G" J5 {
4 b: D2 y+ Z& e /* 1 R2 ~; D2 s" y+ i" K% n7 g
======================
/ I1 [0 i! p2 c 13 UF_VEC2_midpt : 求中点 1 z& {5 G! v% ^4 @: o$ q# L/ ~
mid_pnt = (0.5 pnt1) + (0.5 pnt2)2 p4 d% o( n- Y# h
======================
& \! B5 p" d/ O$ ? |7 q */
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- o" M# } f7 `1 J: e/ F UF_VEC2_midpt(vec1,vec2,mid_pnt);; v3 g& b& c( E7 W2 n
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sprintf_s(msg,sizeof(msg),"UF_VEC2_midpt = point1 {%f,%f},point2 {%f,%f} = (%f,%f)",vec1[0],vec1[1],vec2[0],vec2[1],mid_pnt[0],mid_pnt[1]); R% h5 z# a7 ^. O: X
lw->WriteLine(msg);
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/* 4 e5 M, O/ ^) ^& P' @
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14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划
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*/
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UF_VEC2_negate(vec1,neg_vec);
- B& O- g6 g% W8 f UF_VEC2_rotate(vec1,2,vec_comb);
S) B% E4 k% F; p8 P UF_VEC2_scale(scale,vec1,scale_vec);% F) p/ j+ P" S) A8 J1 l: H
UF_VEC2_sub(vec1,vec2,sub_vec);
7 ~) v. J- F* u UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);
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sprintf_s(msg,sizeof(msg),"vec1{%f,%f},vec2{%f,%f}:negative(%f,%f),rotate(%f,%f),scale(%f,%f),sub(%f,%f),unitize(%f,{%f,%f})",vec1[0],vec1[1],vec2[0],vec2[1],neg_vec[0],neg_vec[1],; K' P: j6 T) p* W+ F5 H+ N
vec_comb[0],vec_comb[1],scale_vec[0],scale_vec[1],sub_vec[0],sub_vec[1],magnitude,unit_vec[0],unit_vec[1]);, m2 z2 W7 v; @8 @. S0 J9 Y8 U
lw->WriteLine(msg);* m0 y/ ^8 L" C8 C% \$ n& e
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