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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。
+ N! Q) L- Q( X- K6 J源代码如下!
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复制代码 2 Z6 [( g6 \0 t" a
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char msg[256];: `1 g/ n! j; h1 A
const double vec1[2]={0.2,3.4};
" A+ c+ P& z. w9 }9 Vconst double vec2[2]={1.5,4.5};0 M u, t- W, ]6 [/ r! \0 R# D) G
double scale = 1.5;
9 H* ]2 q' B* d# s8 a* p" Rdouble scale1 = 1.3;
# M- ^, ]% P8 Z+ r4 d4 F4 [double scale2 = -1.1;
3 D- p0 B4 v. V$ f; ^9 Jdouble sumVec[2],vec_comb[2],vec_perp[2];
' v) ]! m' v8 `double oscale1,oscale2;
% Q- E( | Z- h' {' E; f, Idouble tol = 0.0254;
, h7 ~/ G1 D Dconst double vec_src[2]={1,2};; x2 G- Z' S _' |# U
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];- ]- F* W$ {' g' W7 y; K
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];' m0 ]# c7 z2 ]* p
int isEqual,isParallel,isPerpen,isZero;) S7 l6 S' k" |5 \# R$ b3 b8 ^
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double parameter = 0.5 ;; h2 h2 \) S: h9 o, H
double pnt1[2] = {0,0};9 [2 M! [* w2 h1 e$ K8 k$ M
double pnt2[2] = {2,5};4 O) ^" [5 @) c; z, u
double pnt_on_seg;
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3 t+ @2 v, ^; E" b0 e//------------------------------------------------------------------------------" ]9 r9 t" Y4 h# v9 G' F
// Do something4 ]% [/ w1 [9 z
//------------------------------------------------------------------------------
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2 L4 r: ?* ?, w& ^1 }3 Cvoid ufvecTest::do_it()
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& B+ e8 L) u& Q4 x- E0 H+ ^- m // TODO: add your code here
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/*
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1 m: X1 d+ d. h8 {- i& Z* ` 1 UF_VEC2_add : 两个向量相加 ) ?" O+ a% b6 A" i. Y) n( j
vec1 + vec2 = sumVec# H( p$ P" V2 Q
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lw->Open();) U: t9 \/ Q( n0 Z9 a
UF_VEC2_add(vec1,vec2,sumVec);
1 r2 I& ]# O- [. b" f/ w B$ F2 G 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]);
( q! ^" n5 Z. }3 S; r/ ^; U lw->WriteLine(msg);
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! Y6 z) z; D) X; J5 `. ] /* - M$ s& K5 z* s+ A! F
======================
1 N( F( R1 @3 V' m& b3 R 2 UF_VEC2_affine_comb : 仿射变换
. [; f* y s; i! ~ vec_comb = vec1 + scale * vec2;
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);6 w8 c' ?, E9 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]);9 ?: H( B4 A3 h* X9 F
lw->WriteLine(msg);4 }/ z5 p* U3 d# Z6 v) G
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 0 t4 x9 C( Y+ _4 Q1 _+ s
vec1.vec_perp = 0' t* W0 o1 `' M
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*/
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8 t5 u* U* y F& [& Q UF_VEC2_ask_perpendicular(vec1,vec_perp);* B; {; o+ f' c \% A
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);$ B4 l6 c/ Z" w0 j4 Y
lw->WriteLine(msg);
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1 q: N3 r5 T o w2 G /* . H1 F7 d3 D3 C% B4 \
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4 UF_VEC2_components : 求出垂直的向量
6 V; E: o0 }+ ^ vec_comb = scale1 vec1 + scale2 vec2
5 r0 r2 {. u8 y/ c( E1 t. | 返回: 0 可计算 1 平行) ?1 G8 w; L! C
======================
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/ O+ S8 L5 K4 G2 M9 [- D: ] int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
5 X; W9 y. y* D4 V. T% ~& W sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
5 o3 l" ?$ h% `3 \0 U) \: Z% d' c3 x4 ]3 k lw->WriteLine(msg);
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% ~' ]; c, K9 Z% ?7 _) N /*
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! j2 ~ s0 G, l. k 5 UF_VEC2_convex_comb : 计算点在直线上的位置- h( @8 Y# E j7 _/ [. V; {5 ?
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). % y. f0 y0 p' K
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*/
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
2 P$ a. k" F6 X' H sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
# I9 g# _2 n1 W0 N3 [" a lw->WriteLine(msg);
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/*
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& k% o; q% J2 A+ ]; b 6 UF_VEC2_copy : 向量拷贝
* t; {7 E! S% u) v9 Z0 j, H! q vector (vec_dst = vec_src). y" Z( f- ?) ]7 g' T
======================
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2 ~# P, g, F* D6 \$ b6 \ UF_VEC2_copy(vec_src,vec_dst);
& r! M* O" {: Z 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]);) Y3 y& [6 Q' X7 y7 ?
lw->WriteLine(msg);
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0 e* D* _6 i" b/ j. M3 C# D /*
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; w) {1 B( o: ~0 r# ?- r 7 UF_VEC2_cross : 向量向量积# V! D) y7 U, w6 L: {
cross_product = vec1 x vec2
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UF_VEC2_cross(vec1,vec2,&cross_product);4 R5 _. \2 [5 @; M" s8 `* N2 s
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);" v& G0 u! z/ a4 ^" I8 ~9 e
lw->WriteLine(msg);
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/* 2 `- E2 f5 m4 a. |
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8 UF_VEC2_dot : 向量数量积
6 L5 s" b {* Q; g6 x6 e3 A cross_product = vec1 . vec2
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( ~# q; u' }) x- x+ t: G */
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UF_VEC2_dot(vec1,vec2,&cross_product);- h: Y& \ v8 a- s8 N0 p- K/ H
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);- ~" {8 i6 `" `$ {8 k! c
lw->WriteLine(msg);
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/* & ]: |, B1 u f& K7 h$ R
======================
7 S& v4 C2 k* D" ?' c4 F9 a1 l 9 UF_VEC2_distance : 两点距离% k; v- u3 {; m' W9 R
(distance = ||pnt1 - pnt2||)
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' j9 B, C4 I b: q UF_VEC2_distance(vec1,vec2,&distance);
+ ~8 E% ?' v" O sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
- [: ~6 a3 [3 t, i5 l5 V lw->WriteLine(msg);
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B, S6 ~: e8 C /*
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: L- y3 {0 x p( x 10 UF_VEC2_is_XX : 判断矢量关系
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*/
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
2 I! `- [$ K' { d: J0 h5 S7 c UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行; ]6 c( ]5 h3 L& L' {
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
; H& }9 p: X0 Z8 f UF_VEC2_is_zero(vec1,tol,&isZero);//为0: d6 x( ~/ x3 I. }0 C M3 x
( b* _* g0 J3 g+ Z; v8 E 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);; a& _* ?7 E+ r2 e3 M
lw->WriteLine(msg);
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11 UF_VEC2_linear_comb : 线形组合
" f5 C5 ^6 L3 A" j6 B8 W8 p+ W vec_comb = (scale vec1) + (scale2 vec2)! F) i# C, |0 J$ l/ o
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*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);
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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]);
5 s6 K9 i; d/ A lw->WriteLine(msg);& Q2 \1 [& C- k0 A z
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/* * ~& L" c8 r' r. P% [
======================
; ]+ B' B t5 U0 R1 z 12 UF_VEC2_mag : 向量模
- A2 v/ [/ ]) \$ A( ^0 m( W magnitude = ||vec||! q- M5 m9 H2 z% X* o
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*/
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2 d- {' Z2 q. [' F( }& T1 b P+ a UF_VEC2_mag(vec1,&magnitude);% S7 O' o; U; _/ `
% p4 N! c5 D" Q8 o# w sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);/ J; w& y& }0 F+ o
lw->WriteLine(msg); v/ q4 S5 {; F, d
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/* # m9 Y0 v# Z# X" r
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13 UF_VEC2_midpt : 求中点
& Z+ R+ ^9 {3 l* f5 v mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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% A/ A, Q( l6 D( B" e UF_VEC2_midpt(vec1,vec2,mid_pnt);& s# w" b0 b* P q
# }2 N- U/ ~: K% S; E1 ^6 R 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]);
) q% F- W# a6 J( y+ H% R/ J lw->WriteLine(msg);
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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);
9 ] ^% u! t$ |; @& m UF_VEC2_rotate(vec1,2,vec_comb);
V# C2 p4 X6 [ UF_VEC2_scale(scale,vec1,scale_vec);; V3 E8 X7 \& y2 X( @7 W
UF_VEC2_sub(vec1,vec2,sub_vec);
* i( _3 v" K9 B' o' P UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);* V( M) d; |* H+ t
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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]," Y0 K* h! x/ y9 p
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]);2 c) a0 ?3 x5 A; V& s& D
lw->WriteLine(msg);
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