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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。
5 [- _) G0 u* t. l, x! T# H+ f源代码如下!" W- E6 V4 @, e5 h" Q9 d9 \
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char msg[256];7 B( j0 D& n+ n
const double vec1[2]={0.2,3.4};. g' ^/ d% o8 O3 I: b
const double vec2[2]={1.5,4.5};: |6 ?4 ~; {. F! e6 S
double scale = 1.5;" _4 T- K2 O; v: e+ l7 a
double scale1 = 1.3;
6 M$ C; f7 K1 U6 W' ~- h6 j2 k- y; Ndouble scale2 = -1.1;1 A, n y# t4 i- n4 x) C! P
double sumVec[2],vec_comb[2],vec_perp[2];( s) M. { z9 F* n; E2 d- w
double oscale1,oscale2;
8 c2 x* c( s) z- q; bdouble tol = 0.0254;2 f* C" n) s3 Z7 y+ X+ H4 Z* b
const double vec_src[2]={1,2};+ Q6 t% p7 j& E# I8 j5 t$ W
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
# C/ _1 N0 m" R. i6 U: Gdouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];! j/ j: M' W3 i7 g1 {2 A
int isEqual,isParallel,isPerpen,isZero;5 B5 U3 ]0 y9 {. d
' J t F; w, s/ idouble parameter = 0.5 ;: D. }; e5 U) j% M- e) a
double pnt1[2] = {0,0};0 O6 ]" v7 {) B' d# t/ X4 e
double pnt2[2] = {2,5};
& P" }, Q, p. t% g! kdouble pnt_on_seg;- G" c6 w' O. ?! p T& S* T
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//------------------------------------------------------------------------------
4 o: \9 I7 L8 j% Z9 u7 B' N, z. ^// Do something3 K/ b5 C9 o5 b1 R+ k5 F
//------------------------------------------------------------------------------
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) ^, }" ~& z! c/ o8 G" \void ufvecTest::do_it()
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$ g: E' R& h. E* J8 A // TODO: add your code here
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/*
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1 UF_VEC2_add : 两个向量相加 , @& }$ a; t5 ~$ [
vec1 + vec2 = sumVec% o3 B3 V+ U5 B1 g W$ L! p) S
======================
5 \9 Y% j' c1 h. R( w) }1 H */
) ~) B% X1 k& f; ]6 c3 B lw->Open();
" g- H9 F. `2 w- [ A( F UF_VEC2_add(vec1,vec2,sumVec);$ h9 [5 d& z7 s8 o2 z
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]);1 ]- y" r5 H& E# q6 C* f: W
lw->WriteLine(msg);8 e2 j' j n: Y6 y
2 W* f9 J9 h1 a /* ' S/ l3 U( D0 w' j
======================
( }) e* K% h3 A7 N* r: i 2 UF_VEC2_affine_comb : 仿射变换
9 r5 H- u$ e) C- u vec_comb = vec1 + scale * vec2;
& g& ^8 M0 u& o. K; z! Z# Z( K ======================
4 ^- u8 q0 l* s* @9 W */
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
0 M, p) ~& \2 J7 M" O+ {5 R0 d 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]);
- b) ?, N% a. W. [0 m- _2 W lw->WriteLine(msg);
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/*
5 l. M6 }" T. ^3 [8 W ======================
" {/ k: H8 A+ D0 h3 r 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 8 H1 x7 @( F/ N( g' t+ z" l
vec1.vec_perp = 05 O' K# {( \" k
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3 L3 I8 U' ^) D: m UF_VEC2_ask_perpendicular(vec1,vec_perp);
. Q# X( a0 F, S2 ]4 v; s' N sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);* J7 z: P3 t! `$ ^* i
lw->WriteLine(msg);8 t+ O9 S0 l' \: A2 x2 Y8 V
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/* 6 c6 L0 [5 u ?; v
======================
0 P- v6 v$ X2 m 4 UF_VEC2_components : 求出垂直的向量
: _8 h; h8 J8 Y0 B' o1 D vec_comb = scale1 vec1 + scale2 vec2( ~$ l8 C4 `5 r, _; u P3 X
返回: 0 可计算 1 平行/ u! `& ?5 w; Y, s& h: j8 S" w" W
======================
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, v" Q/ _; b7 M# O4 u V5 \9 U int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
2 r. P/ [: V0 N sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
' t5 r& T0 B7 h. d3 L. v: x lw->WriteLine(msg);
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/* & ~- ]3 b2 E+ w) Q
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
( o7 j' R: @* A v" _2 k pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
4 I1 x! n r& | ~3 Q' Y ======================
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, F5 ^5 [# @- p& R2 b7 D UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);/ n' {& s9 t; [5 k/ { I, k
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);, c/ m* i1 j7 e, ~- `6 @" P
lw->WriteLine(msg);
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/*
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6 UF_VEC2_copy : 向量拷贝
9 B6 X' F$ d7 F3 r2 l: I+ F6 A vector (vec_dst = vec_src)., \" O( r, v% O; {4 x
======================
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UF_VEC2_copy(vec_src,vec_dst);
+ b0 G; I% l" J3 J; r: _0 ^ 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 H7 g% H7 a1 y, N9 @8 f) J: b* n8 @
lw->WriteLine(msg);+ C, K5 m. j2 P4 M
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" c( U, Q8 G2 g /*
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7 UF_VEC2_cross : 向量向量积
9 U4 ^/ ~$ Q* N3 J) P7 m8 C cross_product = vec1 x vec2
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1 U# v# o% L' I5 d" @ UF_VEC2_cross(vec1,vec2,&cross_product);
_8 ]4 U& T$ r sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);# ^2 t* _3 {; d0 s
lw->WriteLine(msg);. T/ J1 Y1 Y" @' s. L1 V, a# v `
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/*
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% D) V+ k/ }/ S- R+ m2 l4 [ 8 UF_VEC2_dot : 向量数量积8 w4 x- b" z* k: V2 d+ Y3 V; D
cross_product = vec1 . vec2" S: T! ?0 A: y
======================2 P$ A7 b1 m& \' S0 r6 l( ~
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UF_VEC2_dot(vec1,vec2,&cross_product);4 p2 i6 e- Z$ N) ~5 \& E
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);4 ~ H# b3 m- U) ]5 D
lw->WriteLine(msg);2 X* D* A- [8 G0 L6 U. h8 O Y+ V ~
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/*
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9 UF_VEC2_distance : 两点距离2 C9 z# }5 w5 v0 X5 U5 l( S7 h+ R
(distance = ||pnt1 - pnt2||)6 T" O' o9 B. _, e5 ?- T; f0 [9 F
======================+ Z" A9 h" s8 ^1 j. ?) k
*/
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UF_VEC2_distance(vec1,vec2,&distance);8 M& ]6 m: J+ N: [
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
' T* {+ C- V" X9 x' \# E3 \ lw->WriteLine(msg);
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/* 2 t4 W/ p! l7 |2 \
======================2 [% B* \& S9 c1 \" h
10 UF_VEC2_is_XX : 判断矢量关系2 K* F) C, w; v. @% m
0 = false' `7 h4 t) p) O2 k% E3 c- b
1 = true
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等! P8 Y8 \% T) Q+ H
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
1 u- ~& Q7 X) O( P( _ UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
+ p/ c7 E& _1 O" g# r5 Y4 ~' c UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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9 `/ J- C/ @2 Q, p; [ 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);
9 p3 O: k# r. \: X/ J, n lw->WriteLine(msg);
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/*
& J+ b6 b- U; T% z$ k ======================2 }) h& m0 i% B, z$ W) O+ p
11 UF_VEC2_linear_comb : 线形组合+ M6 l) h7 U! h, L5 m/ I
vec_comb = (scale vec1) + (scale2 vec2)
8 ^: p2 p' S1 V0 y ====================== A/ t6 N2 q9 x& T, E
*/7 Y( F3 G+ J `! Q' B7 m- H
9 z+ C5 K$ l3 t! v+ a/ Y- m% B UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);
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. _' a( `, C4 Z+ ^+ h, r$ ^' l6 z 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]);8 a; L' b9 P7 n9 f {% `: O
lw->WriteLine(msg);2 O* C' r3 A# U( t5 F$ \
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/* o9 z& C9 f- `$ N
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12 UF_VEC2_mag : 向量模
( X% K, v8 u7 [1 w! j8 J) l* H( C magnitude = ||vec||
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*/
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; W) ^" z3 y. x' ` UF_VEC2_mag(vec1,&magnitude);* z$ W0 f2 f7 P
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);8 r) O5 I2 R/ x
lw->WriteLine(msg);
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* @3 [! q) j& o /*
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5 J% l. @! R2 c2 f! s5 Z 13 UF_VEC2_midpt : 求中点 6 A1 b7 v6 ?' x0 e$ A# g5 A
mid_pnt = (0.5 pnt1) + (0.5 pnt2)% f5 [/ } G+ ?2 F# Z8 E, K* \
======================$ P- `: N6 r" o$ m$ L
*/
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UF_VEC2_midpt(vec1,vec2,mid_pnt);
) U# Y J+ t0 S. g2 |8 V Q+ }
: ~% d; W4 L! ]3 s3 G% A7 C/ D 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]);
9 U# [7 u/ A7 D1 C) i lw->WriteLine(msg);
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) d6 V5 D0 I. i1 r0 Y" r, o4 n /*
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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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UF_VEC2_negate(vec1,neg_vec);
) l- o+ Y& G0 @( k: W UF_VEC2_rotate(vec1,2,vec_comb);
' p: g1 s( q4 B6 H UF_VEC2_scale(scale,vec1,scale_vec);
& {+ D7 D/ Q" x4 K* o, [ UF_VEC2_sub(vec1,vec2,sub_vec);
9 V- R( Q; h3 a& E$ ^1 M1 e 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],, B Q/ p7 Z5 i6 P# w
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]);
6 P; r5 a$ h+ i( ~7 F lw->WriteLine(msg);! w b8 J& H9 {0 K/ h
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}
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