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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。
$ Q; H( |! A7 z" \5 ?源代码如下!
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复制代码
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char msg[256];$ v8 y* i0 B! l# t
const double vec1[2]={0.2,3.4};( O' t0 U O: l B6 e2 R {
const double vec2[2]={1.5,4.5};
3 v9 W, D, c6 a0 R: F9 L3 Kdouble scale = 1.5;. G @7 Z- F* _) q
double scale1 = 1.3;# y. Y9 g2 H! R+ {
double scale2 = -1.1;( B- k6 E' W1 l! _- X
double sumVec[2],vec_comb[2],vec_perp[2];1 U, I" I% G* m+ `' _* _+ _' Q
double oscale1,oscale2;4 n, W9 \4 V( I. H8 s H5 c
double tol = 0.0254;
+ o. H' @1 g2 @6 ^2 J" Hconst double vec_src[2]={1,2};+ e _7 T5 }- g% d+ Y6 r3 y
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];5 p* a. x+ X H4 N3 b! W
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
. k2 S4 P( a2 Gint isEqual,isParallel,isPerpen,isZero;& b8 u0 S0 v# _
7 n/ M9 c {% F( Adouble parameter = 0.5 ;( U* a$ Y, ]3 C, E' W8 m
double pnt1[2] = {0,0};0 f J, P$ U! B7 U4 ?; |9 o
double pnt2[2] = {2,5};
% i8 {% I& j% i' x. T1 Qdouble pnt_on_seg;6 P0 t3 I# `+ f
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//------------------------------------------------------------------------------
4 M* t; ^/ Q; e6 W// Do something
3 W+ ?" a" [* N7 A//------------------------------------------------------------------------------
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void ufvecTest::do_it()8 m% ]. X, r* [# W) Y1 C' b7 e
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5 ~2 A. P4 \0 A // TODO: add your code here
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/*
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1 UF_VEC2_add : 两个向量相加
' e. \% \# t# c- W; k: @/ n. b vec1 + vec2 = sumVec
, Q3 n) ~' S0 r4 c# h& V# h1 w; w+ K ======================- r& j% e$ W4 Y; M# p/ {2 l0 G3 v
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lw->Open();/ l" ~* B& m. n. Y# ?# e. H/ t
UF_VEC2_add(vec1,vec2,sumVec);0 a1 b8 U7 c# E* z2 N/ L0 @7 ]
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]);2 D0 L4 N- f; K1 X
lw->WriteLine(msg);% ^) {8 v- \+ u/ h/ [! N4 G, |! _. E
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/*
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8 U% u+ p' Q4 a" N 2 UF_VEC2_affine_comb : 仿射变换6 B& L0 ^- ?; {: `) _" ]
vec_comb = vec1 + scale * vec2;, \6 k/ c$ Z. @& R2 @3 k
======================
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);6 B9 m1 T& N8 F: {
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]);
$ D/ j$ E- A4 } lw->WriteLine(msg);
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; `1 _1 p! {/ G7 V4 b+ \# V /*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 ! m0 Y9 \" g: q. Q9 f O' Z( T! D7 r* K
vec1.vec_perp = 0* k H' K6 A6 S( M C' I7 s
======================
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: D8 F8 T U' S; h' Z$ e% `2 A UF_VEC2_ask_perpendicular(vec1,vec_perp);+ m" i2 V [% `2 [6 a- X, I
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
0 s# Z* T# ~! `/ I' b lw->WriteLine(msg);
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8 c# I: d0 x" K0 B /*
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- M! D% w0 g1 l( ` 4 UF_VEC2_components : 求出垂直的向量 _1 e3 `2 j7 n+ m
vec_comb = scale1 vec1 + scale2 vec2
- E7 O! K* j9 ^; Q 返回: 0 可计算 1 平行
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*/
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2 Y( C* x! ^" b$ T! k! } int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);9 x7 }1 ^) J0 t
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
- H2 [. f' p5 Q- U* Q. T* F5 V& j lw->WriteLine(msg);+ s y3 t+ [, A( L8 r( L2 \9 J! }$ K
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/* + N5 Q% m9 N! o. g& J7 Y% \& L9 B- d
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5 UF_VEC2_convex_comb : 计算点在直线上的位置( ^: Y2 y' |9 {* d% F3 x
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). " o4 Y' D4 l* P2 h% g
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);1 x' L7 Q' C. |+ i+ B$ M9 ]
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
9 s% X) ^9 |1 i; [( A lw->WriteLine(msg);
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& c- M& w9 x2 h5 i& L /*
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6 UF_VEC2_copy : 向量拷贝
/ Q# a2 t& Q8 p vector (vec_dst = vec_src).
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UF_VEC2_copy(vec_src,vec_dst);
2 m, w4 x5 ?+ g" |- b 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]);
, d9 G4 \$ |% F) t6 x3 j lw->WriteLine(msg);
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/* % W/ ^! s- }& f/ C, n
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# n3 i' j2 @' ~6 Q* `; g- L 7 UF_VEC2_cross : 向量向量积
! T9 f; e3 }' J2 i cross_product = vec1 x vec2- I( C: Z* c- @8 Y/ B
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UF_VEC2_cross(vec1,vec2,&cross_product);2 t1 O4 t7 s: F X+ [ {/ Q. U
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
0 y! c, _( ^% T3 N lw->WriteLine(msg);
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/* . q4 ^% k* a% m4 |4 R- D
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8 UF_VEC2_dot : 向量数量积
( X9 w0 `) o) m+ }3 @3 {3 X cross_product = vec1 . vec2
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9 c1 Z$ E9 y( o( V8 w UF_VEC2_dot(vec1,vec2,&cross_product);
; S% D9 }6 k- d, u; d0 `" ?& m! y sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
6 C0 [0 k( p& o lw->WriteLine(msg);8 a, v) J, c# W# w9 f3 d o
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7 @ @8 @/ a) H' S /*
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9 UF_VEC2_distance : 两点距离
3 R( s; v* k. s (distance = ||pnt1 - pnt2||)5 E8 l. ^8 h- i- ?
======================
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UF_VEC2_distance(vec1,vec2,&distance);) n4 u" \4 |7 `& _
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);2 [# c. \, P4 u
lw->WriteLine(msg);
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10 UF_VEC2_is_XX : 判断矢量关系8 C' G# j* i$ M' d5 @
0 = false* Q* g M' \" y1 g8 `) ~/ m) \
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
) G* T+ p, `/ E3 ~* d UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
/ }0 L5 ~) k# p5 @/ q: _. w UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直" j% x' m, X% i% Q& I8 ?
UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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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); M6 ?8 e; p: }7 d$ G- G+ I* a/ X- X
lw->WriteLine(msg);' i- q6 g7 }, {( j5 Q
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/*
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; O- N5 n' C( P. K" a 11 UF_VEC2_linear_comb : 线形组合) R. C3 k# w& {8 V/ c
vec_comb = (scale vec1) + (scale2 vec2)6 d- U1 d5 {& g1 v3 [0 ~/ e
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);- [- ^, X2 n0 b# k5 A0 _% C& F
% A% U8 O+ K: \ z4 R 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]);& T/ G. S$ D/ @. |" Z" d; S
lw->WriteLine(msg);3 U H# ]% u4 L' d! v/ U; h
1 E2 F# v4 M1 E" U /*
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& J# c7 d! J; L- r1 C' y7 ^( | 12 UF_VEC2_mag : 向量模
, ~! n% m3 S2 G magnitude = ||vec||- }; ^( R. t: F6 I5 I2 a1 ?* c
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*/
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) d0 E: H* ^. Z9 w2 c8 ~4 g- z 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);
* |4 w% G* L/ `# W) e4 R0 S lw->WriteLine(msg);9 G% k, q9 j3 ^; [! Z* u- ]3 Q1 C
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/* : R w$ q9 A7 F+ w
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13 UF_VEC2_midpt : 求中点 4 X5 j/ b c; h: M
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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*/
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UF_VEC2_midpt(vec1,vec2,mid_pnt);; @: _: k8 x6 G. `& e
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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]);
8 A' j: k j4 G- \/ S! C( E lw->WriteLine(msg);
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/* 8 X6 d: s8 P) W) Y4 A. y" c
======================
" E: M! }& J7 A: [/ T2 V# {/ l( D' Z 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划
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$ y. k6 ~6 ^% Y) H; ` UF_VEC2_negate(vec1,neg_vec);
- j g- B' k; @$ c! v+ w UF_VEC2_rotate(vec1,2,vec_comb);
, H( ^' o8 @6 \" A' U& D+ ^1 d6 X UF_VEC2_scale(scale,vec1,scale_vec);
, A% a# U4 n+ e9 K, g; x: W UF_VEC2_sub(vec1,vec2,sub_vec);
# G: L! f% P* G0 Z 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],
( Z7 n8 x- l* |, z+ L+ {9 | 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]);0 m4 T4 s5 i& w7 F" w1 q6 o y
lw->WriteLine(msg);
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}
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