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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。" o/ n8 ~/ M m( `, X2 K8 T
源代码如下!$ u6 t8 \0 j% x
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复制代码 / d7 D7 l h; T% M
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char msg[256];3 e! _6 X3 a. m. p
const double vec1[2]={0.2,3.4};
. N! Y! a+ k/ e% w6 Dconst double vec2[2]={1.5,4.5};
H2 J/ h/ s. x% i. y+ w0 tdouble scale = 1.5;
5 ], J5 w c* G& |# ?" D9 ldouble scale1 = 1.3;2 m1 j5 m' Y1 Q5 L
double scale2 = -1.1;
9 z. j9 l7 j" D, }; N8 N) Q& k) _# [double sumVec[2],vec_comb[2],vec_perp[2];
# `: o$ H; [! T/ c5 t7 f% Xdouble oscale1,oscale2;9 j$ z+ \+ N. \
double tol = 0.0254;
3 ^. c/ n/ }/ e, S' k9 Z" Aconst double vec_src[2]={1,2};+ F) E- {- T% R4 v5 _) l. J7 m' D6 h
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];2 U* a: |/ M( K) ]& }) x8 ?
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
' i4 e% Q2 i k' U* S7 U j3 wint isEqual,isParallel,isPerpen,isZero;
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( n- }" v9 E- D0 T( Y5 t, gdouble parameter = 0.5 ;
8 n1 s1 A( h1 d; q5 i- H Jdouble pnt1[2] = {0,0};
) P% f2 f7 t$ z5 J: E# p/ Ddouble pnt2[2] = {2,5};- A. c0 }% Q! f$ S( C" l
double pnt_on_seg;8 E: \ h2 A8 m" [
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//------------------------------------------------------------------------------" e- M4 p1 s6 ?
// Do something/ ^% h( U8 i) d" X" W B0 J5 a
//------------------------------------------------------------------------------$ R1 o) Q$ h# ]9 a3 t
% \9 R! ` ^2 F! y. N; p3 p
" E- b' \3 q( ?void ufvecTest::do_it()" `; T* l$ N# @' _& h. L$ _
{
# ~4 I" h, [, b# S/ H
" ], [) M& Z! G% M // TODO: add your code here
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. F2 k/ i( e' ^7 y) w" y8 l /*
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1 Y; J. _, Q0 U4 x: F 1 UF_VEC2_add : 两个向量相加
3 }+ M( z: e5 t3 y2 J3 J% l vec1 + vec2 = sumVec0 r+ u5 B* W3 x. K4 F: m$ X2 W
======================
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lw->Open();% G0 F% P8 R) ]" g/ _% J' l
UF_VEC2_add(vec1,vec2,sumVec);; l" m+ H# h7 o2 Y4 Z# K5 k& |
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]);* W8 a4 E9 r6 T. ]. G
lw->WriteLine(msg);
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. {( U( P4 u4 W /* 2 n y" d! f: U, @
======================
4 A k6 t) h" {& Y9 y) H 2 UF_VEC2_affine_comb : 仿射变换
# f! ?7 s4 x; d! S3 U0 i vec_comb = vec1 + scale * vec2;
4 |' ^: m) i, Z8 p8 ]+ u ======================, a0 T1 M+ C. ^0 K* r4 Z0 `' @1 W
*// d9 w/ z$ m' v
" Y- `$ E" z, A7 b5 q' e) [% g UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);* o5 i) M4 e. M7 b$ s0 B' Z
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]);
" \( s) M0 J! m* s2 h2 i lw->WriteLine(msg);
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: [- Z, j! Z9 v- D /*
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! u+ X8 G7 _& X3 B# g' ~: {) v 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 3 ~5 W" Y% a5 C; P3 K" S- z7 Y
vec1.vec_perp = 0
; T1 w; o/ `, l! D0 J. i1 y ======================
( G1 G* A6 ^' V; m *// U% [8 j0 ?. L( M/ k, O3 A
; W8 l" L" [2 Z) ?/ j5 A UF_VEC2_ask_perpendicular(vec1,vec_perp);5 l" x; s" }) U5 c
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
/ {' u. t0 ?0 J1 N+ z3 [ lw->WriteLine(msg);0 A0 j! h; J3 @
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======================
$ c" Q9 ?5 x0 o- c. ^6 P* b1 ?% a 4 UF_VEC2_components : 求出垂直的向量
. P+ D% j! M$ o1 ]) A vec_comb = scale1 vec1 + scale2 vec2
! D5 p4 z+ n3 U6 s1 R 返回: 0 可计算 1 平行
5 M9 P& h. e6 M( q3 D5 z ======================- w$ x6 B" x8 Y; S
*// D' h" T4 H" [, \- C7 Q* r) }+ r
# O: \ |5 u( p5 o3 M) {" F int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);7 U7 P4 {, T2 _
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
/ s, s% T. }# g2 B, U lw->WriteLine(msg);8 `* C. B& x* P! b$ J- l Q
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/*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置; w/ \2 j0 e7 {: z3 O
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
+ ]. w o x5 ~& O sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
. Q! X+ q& ~- R" s lw->WriteLine(msg);1 a9 e$ ?9 z* l) w
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/*
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3 O4 o9 O$ _/ ] u4 } 6 UF_VEC2_copy : 向量拷贝
5 M1 r7 z$ p5 W; ]% c vector (vec_dst = vec_src).. x' W9 a5 `, \
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*/
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UF_VEC2_copy(vec_src,vec_dst);
8 @# |3 E m- L$ P 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]);
1 M. y/ `% |0 Z1 R: N! v/ b% U7 D lw->WriteLine(msg);* J( {" R7 d) e
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/*
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4 Y: |1 i5 K. B: Q4 B 7 UF_VEC2_cross : 向量向量积
' L- t2 o1 d, q# J4 P) b cross_product = vec1 x vec2
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*/
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UF_VEC2_cross(vec1,vec2,&cross_product);# ~$ L( j. ` l7 h
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
8 ?% c5 P5 ? T8 T# k5 z7 H lw->WriteLine(msg);! r% n& _9 m3 S. }
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/* 3 S. [/ S3 y) }3 `
======================
/ D) L- k/ A8 F" ] 8 UF_VEC2_dot : 向量数量积) `+ ^5 `& l/ q; _6 [
cross_product = vec1 . vec2( e' V1 _' |6 `% [) v* A
======================
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UF_VEC2_dot(vec1,vec2,&cross_product);9 k# \/ ?$ u# q# P& y
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
H- V$ L7 F$ ~7 k lw->WriteLine(msg);
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% V5 s5 [, M7 M7 x' Q+ Z /* 3 C* Z1 ]/ p4 |7 I5 z
======================) D9 J& ]& D1 s! d9 e0 Q( z$ @8 {
9 UF_VEC2_distance : 两点距离0 c# p" m- _ O; U; l5 @6 J6 [& A
(distance = ||pnt1 - pnt2||)! A4 m7 s$ m" ^! ]
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*/
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UF_VEC2_distance(vec1,vec2,&distance);
& q, O6 \( n8 C% S& O7 m9 Y2 | sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
2 z) G& O% H% [" D( `% j lw->WriteLine(msg);& p. ^3 ` t1 A6 u3 Q1 D! d. @
; e) S+ D2 n2 b' { /*
6 \! K, D! a/ {7 P8 e2 K ======================
3 D- l, H* w) [; g* ` 10 UF_VEC2_is_XX : 判断矢量关系
& y) Q3 ^: `3 z1 d 0 = false2 w, v$ ?! \0 T- D+ G/ O) _
1 = true
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*/
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等' T3 K7 c: Q0 Z, O/ b j
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
; t5 F1 Y' Q2 b' Z. } UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直, H& {+ j& K [0 H7 N5 F
UF_VEC2_is_zero(vec1,tol,&isZero);//为0( \9 X; G8 e, S3 G6 H' H& T5 _
2 a, I) `2 d* i0 R8 ^3 ^ 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);
" M* b. a7 c- q8 B# Q O% j lw->WriteLine(msg);7 e0 C3 B! C1 P* r! I3 W) R8 J
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/*
/ g9 U! ^# I3 ^, V- \: h ======================+ R) z9 y' X/ I
11 UF_VEC2_linear_comb : 线形组合% [3 I' M6 p; p; k: j3 d) z. t
vec_comb = (scale vec1) + (scale2 vec2)( d2 x5 @3 i/ f! Q
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*// ]) q6 I5 e1 [3 Q+ H" @5 ~9 ]
" S1 W3 Q0 u3 Q8 I, A( p UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);. o, ^9 C5 x' f$ r0 s" z0 j1 g; M
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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]);% I: B' P5 L2 d
lw->WriteLine(msg);& Z* w# ~7 C* \# a
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======================: a9 T2 B7 k! c& S) v& p
12 UF_VEC2_mag : 向量模
3 c. |/ c7 f. A magnitude = ||vec||4 x& v$ T+ E' Q6 w5 f: O
======================
- L& u _ X c */
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7 k/ V' @2 _* c/ u& X: b UF_VEC2_mag(vec1,&magnitude);
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( i. q" L& @1 w) T" i sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);% c! [0 P9 W7 Z$ H* d; d9 k
lw->WriteLine(msg);& U3 W9 j9 |, R1 u
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/* 5 b/ P3 j3 w3 X6 Z, w
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13 UF_VEC2_midpt : 求中点 0 P8 S8 y' \- `; C$ L8 T$ S4 X
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
& ~4 B& Z- k& [" W" S0 v' f' n ======================
! g- A' z4 c: u4 S */
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UF_VEC2_midpt(vec1,vec2,mid_pnt);& j$ M( a5 u4 _8 }
" h' r# T+ s- W c1 i | 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]);0 U6 B! H. X( H: ]8 ?, A& r, k) b) n
lw->WriteLine(msg);+ ^+ h, T0 Z9 X: H% I' t( z
2 o2 U6 N; F$ S% ?* h /*
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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);
2 J) K9 o/ e. E UF_VEC2_rotate(vec1,2,vec_comb);4 C& u K, q7 X: Y
UF_VEC2_scale(scale,vec1,scale_vec);6 ]. U+ V- f& Y. ~* b5 A5 a
UF_VEC2_sub(vec1,vec2,sub_vec);
1 K5 |: i3 a6 p1 M 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],
- T* m0 q: y( u7 L( | 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]);. I* G# p1 F$ n
lw->WriteLine(msg);
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