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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。
: Y8 p6 Q: l4 t C z3 }3 V! e源代码如下!' \2 p" y U5 k8 D3 E0 d0 c. P+ J
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char msg[256];
* s; F7 l* ?! m& a! Wconst double vec1[2]={0.2,3.4};
* q- c, F6 E* {; b. W. Hconst double vec2[2]={1.5,4.5};. ^( v: V- X1 A
double scale = 1.5;
: @& o* O4 k8 w4 B* Ndouble scale1 = 1.3;
, Z5 d, a% q- B* c. qdouble scale2 = -1.1;7 V j$ e: ~) Y& N
double sumVec[2],vec_comb[2],vec_perp[2];0 g& B% T7 d1 D5 j6 o& y( j
double oscale1,oscale2;
Q+ Z" D0 ?8 H6 Wdouble tol = 0.0254;, W3 h, S5 G4 v/ z6 o
const double vec_src[2]={1,2}; R6 c P% W5 ~4 y5 _6 v& N: p/ e# R% r
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
3 S8 @3 B' U5 s1 C8 u/ Jdouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];, o5 @$ i2 Y4 u2 w, X; l6 f6 a
int isEqual,isParallel,isPerpen,isZero;# P7 J% S& g7 S6 V+ V% m
( S' G" ?- a6 c' o' q+ x1 {
double parameter = 0.5 ;
8 g, k: W% ]% b5 Edouble pnt1[2] = {0,0};2 p1 @* j5 h. `
double pnt2[2] = {2,5};
/ H9 N; B5 _3 _" qdouble pnt_on_seg;$ ?( Z. y( L1 h: l
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//------------------------------------------------------------------------------7 t6 e% A9 U- y; C7 H( I% ^
// Do something
5 d, u5 c: k' @- b- Q& z//------------------------------------------------------------------------------# c5 G3 T( e# [& B3 I
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/ u& ~& N* n! k! h; fvoid ufvecTest::do_it()" g0 Z# @* D- e0 [1 e
{
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// TODO: add your code here$ @5 {' g: X$ m0 l$ Q
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/*
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2 g7 q! D: ]- {* i6 i 1 UF_VEC2_add : 两个向量相加
2 N) Y# `+ C) u9 f5 O2 h1 i2 o2 m4 u vec1 + vec2 = sumVec
* G! @. D, Y6 u, [' I; w" n ======================
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lw->Open();
7 }4 g& L. S; v UF_VEC2_add(vec1,vec2,sumVec);& _2 Y* T% I+ K8 j# q
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]);
& ?( P, n# U; J, M lw->WriteLine(msg);
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/*
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2 UF_VEC2_affine_comb : 仿射变换5 M' ~% L6 ?4 E: [- E5 P! w
vec_comb = vec1 + scale * vec2;6 |$ G$ X- m# F- s5 v
======================
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
+ R& P4 | v% ]7 M C6 r4 p 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]);
+ |) F% s& i( C5 ~ lw->WriteLine(msg);" B v! u7 y5 n
' F5 U" D/ x+ |8 o /* % |" A; N v3 _# Y5 k# T; {
======================
$ B% p6 k% s2 R5 }; a/ Z 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 + D3 q( u$ F: Z: ]- U" r
vec1.vec_perp = 0
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*/
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UF_VEC2_ask_perpendicular(vec1,vec_perp);) |" l2 g; t7 C: C" M8 t6 a
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);& Q+ ]9 Z. y3 F" n( j, N1 g
lw->WriteLine(msg);4 h, ]. N6 ^5 z! N4 u6 v3 T' n
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/*
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/ r3 X9 o7 r6 X+ f9 f: B 4 UF_VEC2_components : 求出垂直的向量 4 `& T7 k* V- W# h+ }
vec_comb = scale1 vec1 + scale2 vec28 A; B$ @) D& g
返回: 0 可计算 1 平行
; y# A9 E' ^% i ======================
2 N9 |- e/ I& `& b& g/ Y- j */
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" i, T0 i h$ |9 D" [2 f int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
6 s& E( l5 }+ Z) |& p* w sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
]4 _8 I6 V. _) V$ r! j( t6 B% Y/ g lw->WriteLine(msg);
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! k5 h" e/ [) X3 z% t6 r /* ( n: G% H5 B' f' A' J
======================
$ t+ i( r# Z3 [4 u: V 5 UF_VEC2_convex_comb : 计算点在直线上的位置) f+ ^" e$ ]) r* U3 z! H
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
! d4 A5 _( u3 \! M2 Z, f ======================( P, f3 F7 V- x% @1 t% Y( t
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! f) V1 x6 C( H) k# n UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);+ \$ P: F4 l5 {9 I, r7 \$ N5 s
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);* N y( c3 o" j' L9 `9 a, H, R
lw->WriteLine(msg);0 ~: I1 F) X, p5 d8 ]8 z0 |
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/*
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* Y- Q9 s8 h3 A- V1 u0 k' Y( V 6 UF_VEC2_copy : 向量拷贝
' S2 S% j. m: V: e! U, j% q vector (vec_dst = vec_src).: |% `) ?- e! ^( _. c8 f$ p* w# \
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*/
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. `/ l1 B+ ]: ~4 f9 e2 Y UF_VEC2_copy(vec_src,vec_dst);: ], @5 `% U% L, |+ g/ p# z: Z6 ]
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]);8 r6 H* L) c1 T; w+ w' r
lw->WriteLine(msg);; V2 Y/ T0 R1 I# ?
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B Z6 z! W- ^/ |5 v /* . ]) l0 n: y. w: g
======================; X! q$ E9 z1 s, C0 K( T: q
7 UF_VEC2_cross : 向量向量积
2 J+ H3 E, X* S cross_product = vec1 x vec2: T% V3 O7 V& _: j
======================
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$ S+ ]; d+ K7 N: m UF_VEC2_cross(vec1,vec2,&cross_product);
8 ~. ^! P" s& y7 C: @ sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);5 |5 Z$ y6 K8 Y/ l! r
lw->WriteLine(msg);
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" g$ Y+ l8 ^( o. Y /* 9 `8 m0 z+ ]3 F$ w+ g* m1 s( a
======================
9 h2 g% k; [: j' h2 C$ s# ~7 g 8 UF_VEC2_dot : 向量数量积
' O% k3 M, h5 [* a1 z5 I* |$ m2 h cross_product = vec1 . vec2
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*/
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UF_VEC2_dot(vec1,vec2,&cross_product);" \/ W; t* r5 s* a9 F# k3 H0 R3 o
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
6 j. x) V' y4 N4 W0 L( i( V$ c lw->WriteLine(msg);
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/* 0 B; ~3 A: H# F
======================
2 ]1 x8 W1 n2 j& v8 x 9 UF_VEC2_distance : 两点距离
% ~3 H7 }) b# ^2 K (distance = ||pnt1 - pnt2||), a+ Z/ N& Z% Y- E: H+ ]
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*/
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; o2 [: u. l H' S6 y- ?2 Z9 j% S UF_VEC2_distance(vec1,vec2,&distance);1 i, E, a! t0 C* P3 m6 ^
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
) k* w9 r' u' q5 {- p+ Q, x lw->WriteLine(msg);
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/* * p {6 t" I: Z; F& z
======================
% W/ r5 x/ c; n1 t$ Q 10 UF_VEC2_is_XX : 判断矢量关系
: H: L/ Z6 |8 Y( c* U 0 = false
( Z5 A2 o& v' S 1 = true
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*/
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
) U7 o; P" M( y6 Y UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行# `4 |5 X3 G& H* v8 A
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直8 s) u( a: _5 f- ]
UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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& c% R3 R! x+ o2 \7 N) Y2 ? i1 {' Y X 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);
& D2 L( B5 V/ d6 t lw->WriteLine(msg);
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/* $ ?* A. f4 F/ D+ y* J
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11 UF_VEC2_linear_comb : 线形组合; a2 G' F& v: N$ U0 R+ z6 z+ }
vec_comb = (scale vec1) + (scale2 vec2)3 R1 Q: n$ \0 b3 F9 T
======================
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);; u D2 S) t' k9 {: b
+ \# b& B. V2 K/ }+ W5 t! {
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]);
& {9 h& I* e B6 b lw->WriteLine(msg);
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% P% I2 C+ I b /* 1 V9 H7 [7 o8 L/ C, [6 C/ @
======================& F2 P7 t- v$ x. n
12 UF_VEC2_mag : 向量模, A# P1 |6 ?. B
magnitude = ||vec||
6 Z0 U( g: P7 S% b ======================
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UF_VEC2_mag(vec1,&magnitude);: y9 P4 ?" p8 ^( k# l" s3 S
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);& ~$ X% _( w% n" Y: ~
lw->WriteLine(msg);
# l" s4 W( J; V* i+ x$ ?
+ P& Y& |6 p$ B$ }# B6 F8 l% d /* - Q. K# `& T0 e1 h& r; D
======================
: A% k) v3 v* G- S% e! ~ 13 UF_VEC2_midpt : 求中点
+ Y+ D2 [0 {' f% W* b6 G mid_pnt = (0.5 pnt1) + (0.5 pnt2), j4 i7 E0 n9 N9 F$ [- _5 _% o
======================- H4 O4 ~% c" t, ~. M4 F
*/
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UF_VEC2_midpt(vec1,vec2,mid_pnt);
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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]);6 z0 T& ~. [- m( t2 P
lw->WriteLine(msg);
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/*
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% g( q3 U, }! D& P2 P+ Y 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划/ v% j' }9 ?2 s: Q5 J9 C9 P
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*/
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$ j5 s1 a" _' c9 Q UF_VEC2_negate(vec1,neg_vec);
7 V% V4 n# K! p3 n3 e* s! _ UF_VEC2_rotate(vec1,2,vec_comb);
' b+ U, f6 H1 L; O UF_VEC2_scale(scale,vec1,scale_vec);9 s/ b6 W& ]3 U: k6 h$ M
UF_VEC2_sub(vec1,vec2,sub_vec);; g& c f: ]) j& s2 }& w7 W c
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);
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/ } b% _8 [( R- t 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],
) q& a/ N0 U, [* 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]);) v) Q7 V+ z! @: Q
lw->WriteLine(msg);0 i3 P- @% v6 l( h2 f
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}; }) d% b0 K' z1 m0 S+ \. m1 Y
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