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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。$ e& b2 n4 V( S
源代码如下!+ e. R9 a( Q" H1 ~
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& f+ `1 f4 g& ` Y, @char msg[256];
7 f; k6 f% c# h- m% m- iconst double vec1[2]={0.2,3.4};
/ e g* F6 s5 E" Kconst double vec2[2]={1.5,4.5};! F4 A0 T4 d! i2 s# |, T: T' }
double scale = 1.5;
3 e# v, z# k+ r$ w( B8 G4 Adouble scale1 = 1.3;
* h5 n. P7 {& udouble scale2 = -1.1;2 w, ]: W9 N4 Y1 A
double sumVec[2],vec_comb[2],vec_perp[2];& }2 S- n4 S' t2 l
double oscale1,oscale2;6 ^- }1 X" Z9 W' O* A
double tol = 0.0254;
& j5 H& ^! J7 w2 c4 pconst double vec_src[2]={1,2};4 A$ h! R* P. i0 F8 t# N
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
3 ]: P, m: U4 `9 K7 S; tdouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
' j! w7 y6 ?0 Q, `6 H/ J$ Lint isEqual,isParallel,isPerpen,isZero;5 @1 z' P/ e+ w1 ]. ~9 g5 @% w
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double parameter = 0.5 ;( b" ]+ t' c9 g9 @) A+ G% E. U# ^' `
double pnt1[2] = {0,0};2 F0 ~/ N V& o/ ~
double pnt2[2] = {2,5};
( r; b' o( l# V Tdouble pnt_on_seg;
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3 b6 U! p) q0 W//------------------------------------------------------------------------------3 y5 [ G. S; ^3 p9 W
// Do something
3 M% B+ e8 P5 F: H! s+ x//------------------------------------------------------------------------------
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void ufvecTest::do_it()
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// TODO: add your code here5 a, F' F( E; g" q, V. `# x8 q2 u
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/*
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. c% {3 f2 v* K, _9 o: O: B: j Q 1 UF_VEC2_add : 两个向量相加 . G% o* L% l8 x8 W
vec1 + vec2 = sumVec
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*/
) K) R7 X6 b7 Z! a3 W1 ? lw->Open();
7 y% Q9 g: s$ P( m UF_VEC2_add(vec1,vec2,sumVec);
# G1 C* l8 e; J( A: z2 V+ h 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]);; Y* i6 a: G( E. X* L+ S5 g
lw->WriteLine(msg);
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/* - H; Y" z: p( g% H( w
======================
8 k) w7 t" A0 V2 ?7 B 2 UF_VEC2_affine_comb : 仿射变换( k. a5 R0 a) M# o [9 D
vec_comb = vec1 + scale * vec2;. ^% s* T. ~8 C* G- A- ?9 z: C
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Q; n/ v* M6 O/ ] UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);. D, q K# j% }3 U
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]);
1 a! K9 }+ H3 P3 W8 u9 ~ lw->WriteLine(msg);% l; B& X" r+ Y0 z9 I" Z
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/*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 5 U6 ~; k% u+ @+ R3 ^
vec1.vec_perp = 0( c4 i* Q8 ]0 ], s
======================
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. W& W5 d4 Z* ~. r Z2 @9 m UF_VEC2_ask_perpendicular(vec1,vec_perp);
- l# P& U6 S* U sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
9 Y0 @9 w! _! K2 M" } lw->WriteLine(msg);" v( D' W7 V2 e1 P9 K2 ?; I4 L% J9 x0 Y
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/*
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$ u; s: D! l& s, x3 u( F3 L8 D* t& L( T" o 4 UF_VEC2_components : 求出垂直的向量
/ |1 r8 l% ~% t! L( Y3 T vec_comb = scale1 vec1 + scale2 vec2, A1 q4 n h. o( D$ j0 }
返回: 0 可计算 1 平行
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( J' d, _% t# i1 m p9 p8 A */
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! A* a$ }' o/ C int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
" I; r5 o: E) q# v sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);9 @# m, B q2 d- E X
lw->WriteLine(msg);: K) J7 L5 K% y# {; Q) f& v$ y
6 `/ P6 k5 C) m p% P n /*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
* \. |% s+ g' V+ u pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). 8 o6 N& Q: @% s% [& ]
======================
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$ U& V. p6 Z) K1 ~: y0 l UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);" v$ n% @" `1 y* s
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
) |+ J+ O( z6 h lw->WriteLine(msg);9 h; l& m' W7 u3 O1 d, r% D0 y
* E# \/ D2 L: W" p /* * S Y8 Y: P/ j5 p' i
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6 UF_VEC2_copy : 向量拷贝 g/ f3 c& F! l4 J
vector (vec_dst = vec_src).8 X- D, \' D, M M; V3 E9 v
======================
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+ e8 i% ^9 w" d: @; ^; L( H UF_VEC2_copy(vec_src,vec_dst);
8 R" m$ U0 @9 F. h- m+ t' J2 g 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]);
4 `3 m/ M7 @) ]1 d7 C1 E lw->WriteLine(msg);4 G* U* z/ P- p- Y+ [: n: {9 D1 b
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/*
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3 _& U2 W8 P7 J/ m8 B 7 UF_VEC2_cross : 向量向量积9 O6 U/ B& U2 ~7 N5 L6 Y4 }
cross_product = vec1 x vec2
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UF_VEC2_cross(vec1,vec2,&cross_product);
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lw->WriteLine(msg);
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& j# k7 @ u3 C. l /*
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9 p: j" R4 F' [. G 8 UF_VEC2_dot : 向量数量积
( h& v! p' x% a7 L# {5 p6 T cross_product = vec1 . vec2
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*/
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1 K+ _$ M, U% g% D7 ~5 ]4 c UF_VEC2_dot(vec1,vec2,&cross_product);
0 k3 ~1 U4 t) a6 E3 h0 P sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
5 z7 x/ r9 v$ Y3 ] lw->WriteLine(msg);% d. c B1 ^4 j) i
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/* 0 i7 ~9 N. B6 D
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9 UF_VEC2_distance : 两点距离
3 m* \/ U* [; ~3 g& s (distance = ||pnt1 - pnt2||)* m0 w+ W( h# C6 Z. O
======================
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( M2 l, V& q. k5 c3 d" \ UF_VEC2_distance(vec1,vec2,&distance);
3 C# s; W! g; [, l1 B1 ~# L sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
4 e* S9 z- |8 a) o+ s0 C lw->WriteLine(msg);
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/* ( s6 p) E6 P4 Z
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$ W* H2 s0 U, K! }4 [. Q 10 UF_VEC2_is_XX : 判断矢量关系
3 o5 o6 V0 J' M% k, U 0 = false
5 x# G# P; u# ] 1 = true/ Q, X: y# _& D
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% U* S$ T. Z/ L! D$ A& M UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
$ Y5 K! z6 X- @' f# Y; h UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
7 p1 ?6 B S, T! T UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
3 N7 B i) O/ W3 l/ L UF_VEC2_is_zero(vec1,tol,&isZero);//为0( q1 N8 ]# W+ H
) k6 A/ Q" r& ]! p) U& R 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);! U2 l4 Q# `3 y# [5 G$ M
lw->WriteLine(msg);
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/*
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5 T' U. M# i6 \# n% s, [ 11 UF_VEC2_linear_comb : 线形组合
! ^; x6 W, n3 w/ R$ ^5 W# k+ x) C2 l vec_comb = (scale vec1) + (scale2 vec2)
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1 d5 { @& w( X; b& N */
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);, Y: V$ H3 I$ z8 |( f r
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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]);
# n6 ^+ x- W( T. J lw->WriteLine(msg);
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/*
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12 UF_VEC2_mag : 向量模
& }1 s& J. V' A8 j! e$ N magnitude = ||vec||* K4 K5 W( Q/ f/ C8 `
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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);% ` u8 _8 t; q2 U
lw->WriteLine(msg);2 ?4 p0 H+ q! n
- ]5 {- i0 Q4 E+ C* N /*
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( j, Q) _4 e7 _ 13 UF_VEC2_midpt : 求中点
0 G$ ?4 C- \$ S; ~ mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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1 o3 I# [# S; ?& u! P UF_VEC2_midpt(vec1,vec2,mid_pnt);
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4 H9 K% o' S4 u& U5 x4 g, M4 J 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]);! L. t* ?) E! A9 S: l1 x0 Q8 y
lw->WriteLine(msg);4 B J! @, i) r; n/ B; \$ Z4 y! s- b
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/* * h0 `1 ]- M* @3 F/ C8 n
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14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划" d+ h! i* _' V0 [" m5 @
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======================
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UF_VEC2_negate(vec1,neg_vec);% M6 u$ A& R1 a! Z1 I- l5 {) D- ]
UF_VEC2_rotate(vec1,2,vec_comb);
2 S; s s7 y( p' h* q/ A s' A1 ]- Q UF_VEC2_scale(scale,vec1,scale_vec);
& r4 _* C. P2 R& a' A4 D+ ? UF_VEC2_sub(vec1,vec2,sub_vec);' |7 t, Y! ~$ v* J, |. N
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);
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# z0 q' L, C. B% `9 e9 R 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],9 I7 W* M$ l! y& g8 \1 j6 K
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]);
% ^# E4 } ~2 D* e4 Z1 [ lw->WriteLine(msg);% J5 p5 e) `3 J$ Z8 X3 C$ s
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