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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。
7 b4 v6 o. |$ [9 [& W源代码如下!
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z' r' h7 u, N0 R! cchar msg[256];
" i1 c9 N- g5 z$ F$ d Xconst double vec1[2]={0.2,3.4};1 `; Q$ Y5 G. b7 Z( u) u; o% T
const double vec2[2]={1.5,4.5};
6 h. U5 d( p udouble scale = 1.5;
% ?# V+ w0 a3 R/ N% k5 k+ @9 R) D1 ~double scale1 = 1.3;
( G" `3 D9 ?; E& Z+ k {( Tdouble scale2 = -1.1;
* Y% v* B3 V: {4 Q! e ddouble sumVec[2],vec_comb[2],vec_perp[2];5 ?5 S# l0 h0 O0 [8 a, D9 ~& x
double oscale1,oscale2;
; ^" [' m5 C6 Gdouble tol = 0.0254;9 T* _/ `& X' I5 r; r& f1 b: [
const double vec_src[2]={1,2};6 e9 K7 J7 c3 I5 J
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
8 ]9 I# o1 B" y2 ~/ y4 i- tdouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
2 ^4 m* t y- D5 \! s8 B: Q3 Jint isEqual,isParallel,isPerpen,isZero;
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double parameter = 0.5 ;
* f: F- f e2 r( ]0 ?, k+ G# z2 gdouble pnt1[2] = {0,0};
" i: C2 u( t8 Q7 r, B/ w* ddouble pnt2[2] = {2,5};
1 B# ~) }0 M# x0 Q) ^. wdouble pnt_on_seg;2 _! r' i' y3 I$ ]
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, r# o2 c# _+ X0 w4 p, D7 |//------------------------------------------------------------------------------, I1 [, b) N9 z8 x
// Do something
' Z1 e- B s2 }//------------------------------------------------------------------------------
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void ufvecTest::do_it(), x2 Z1 l, p0 \+ G
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// TODO: add your code here, v! g. ?9 @) C/ ]5 @# j
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/*
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1 UF_VEC2_add : 两个向量相加 # j, a E0 B+ ]2 b" \- m; R6 r
vec1 + vec2 = sumVec6 L: b. s" O1 m/ j7 ^6 y6 `0 h: C
======================
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lw->Open();* d. B2 J' I" T: F& z( i+ h( ^
UF_VEC2_add(vec1,vec2,sumVec);# P6 j* L4 A \; ]0 U+ {
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]);( y9 k" S& ?" |
lw->WriteLine(msg);
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! N1 o4 X6 w/ b9 V8 Z% I /*
) ?; J9 T: _7 p( E ======================2 ]! @6 @ `. T1 K B6 c( B% F
2 UF_VEC2_affine_comb : 仿射变换
( b5 n0 n# w2 H% x: N vec_comb = vec1 + scale * vec2;; l; c3 k; I1 W. n6 p& U) n
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*/
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);$ _; s ?" B/ J8 F5 c
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]);
& M f' k, m( D* d9 O4 ? lw->WriteLine(msg);1 ?- Q0 T6 m# {
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/* % ~' k7 D5 Q2 {7 ~: t
======================
' c- ]# B. u, c1 [9 g9 E) J& t 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 ) |9 x' h# a6 j" g
vec1.vec_perp = 0
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! U; Z1 v+ N5 t% m) i" [. e6 F UF_VEC2_ask_perpendicular(vec1,vec_perp);
$ A3 c: d& w: F sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);* t# K* t& A) W C( C6 Z
lw->WriteLine(msg);0 j+ v5 w9 K) D8 U u
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/* * f* |) L0 t' }
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4 UF_VEC2_components : 求出垂直的向量
, A& ]8 z, R/ G1 F vec_comb = scale1 vec1 + scale2 vec2: ^ ~' @7 H6 d7 m7 S% D- y
返回: 0 可计算 1 平行
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*/
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
' p+ M5 E5 z) v; a3 s sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);4 a% R V9 R& s
lw->WriteLine(msg);
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6 ^, S& D9 {: D& X3 ?# [1 a% V9 t /*
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9 ~7 \9 q/ } x* _/ ] 5 UF_VEC2_convex_comb : 计算点在直线上的位置
; d5 {: S9 J7 K& L" b6 g pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). % J7 o: a# E' L; t
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*/
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);0 @! Y+ Y* `/ `, g, [
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
4 I- \7 d/ i9 |. l; {8 D' y" i/ L lw->WriteLine(msg);% |. u: v" W' p" |% h# e6 U" o
- K" J2 V9 o0 x0 k/ | /*
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6 UF_VEC2_copy : 向量拷贝
6 v9 ]# N) n) x+ I2 X vector (vec_dst = vec_src).& |* N8 [! E4 c2 G. ~
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% d: v/ w% _, C5 B Q6 e* Z: T2 X UF_VEC2_copy(vec_src,vec_dst);
/ l$ i3 j/ ~/ f 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]);
9 [- p: K) Y1 G2 d$ H! M5 p% v lw->WriteLine(msg);
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+ E H5 j4 _; @- D1 v /*
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! D# f3 ?9 b+ n4 { A 7 UF_VEC2_cross : 向量向量积
* @! @2 o- {) V9 A/ c cross_product = vec1 x vec2
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*/
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( n( a3 ?' I+ G, I% K6 s UF_VEC2_cross(vec1,vec2,&cross_product);
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lw->WriteLine(msg);: H" V4 j9 l$ H8 A/ V' z! d H1 D
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/* 2 s4 g& f+ ?* z, t5 V
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8 UF_VEC2_dot : 向量数量积
2 ]8 k2 }- R* r) U0 g$ ^) y! X) N cross_product = vec1 . vec2( [& `6 D8 v- g1 `
======================
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+ w9 o( h- [9 s; t UF_VEC2_dot(vec1,vec2,&cross_product);
# }9 p4 R* G |4 _1 }# x: |1 V; s) R sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product); ^9 j. x2 M9 p4 x
lw->WriteLine(msg);4 v9 o. E3 l# s1 ~0 t
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J" R" q' S% u( U) a7 Z. d /*
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) {) U9 b8 Z; k5 X 9 UF_VEC2_distance : 两点距离
; J$ @/ T5 T0 |, p1 [ (distance = ||pnt1 - pnt2||); P; g# E# B3 w1 w6 E0 f
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*/
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UF_VEC2_distance(vec1,vec2,&distance);3 v' G" E8 H: e# n- O' I
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
3 W {$ }& ^& g1 j' v! R lw->WriteLine(msg);$ e7 m* q! ^0 o; v3 l* L
/ G# z- f$ P2 n' ~2 p' X& a /*
6 X; Q) {' Q% v& N( ` ======================
% Y- ?2 A4 q5 e. w% d 10 UF_VEC2_is_XX : 判断矢量关系" r' `' y3 O. G, J
0 = false
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8 }8 h, }2 t$ d* Y1 z UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等! o r* W" E1 a$ w# j; X+ P/ j2 q
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行* `. H6 A6 T4 O5 c5 |
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
) u3 ]) t8 b- l3 S2 p% k, l UF_VEC2_is_zero(vec1,tol,&isZero);//为06 h H& a/ W1 d+ \0 L2 H9 z0 I
' @: t+ w5 K4 Y: v) B- Q 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);; [% S% Z. D' R$ f
lw->WriteLine(msg);
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9 t' @0 o( W* T& r- x' U* G /*
) ?6 l8 X) M% l7 Q) | ======================
7 O v2 l$ v, F3 z ~3 m6 }& u 11 UF_VEC2_linear_comb : 线形组合& m$ O6 `5 E- T( y
vec_comb = (scale vec1) + (scale2 vec2)
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*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);6 T4 u6 K/ z* @' m, l) ]2 d9 K
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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]);! j2 O% O$ i" f4 L/ Q9 b
lw->WriteLine(msg);$ D( C# M3 d8 Y7 z( g- R" A
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/* " B/ C- P! O/ Z: Q( W9 j* _0 R
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12 UF_VEC2_mag : 向量模5 r+ v4 {4 w: y6 @ T
magnitude = ||vec||
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UF_VEC2_mag(vec1,&magnitude);
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: ?9 K4 u, P: C! z/ E6 T% w( v sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
1 ?9 N, y# k7 U9 ^* r lw->WriteLine(msg);
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! l# @4 Q* b3 v8 e, |9 D4 K* P /*
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) Y# T1 w+ j j4 G* O 13 UF_VEC2_midpt : 求中点
! s4 ]; {" h& R# |3 ]7 O mid_pnt = (0.5 pnt1) + (0.5 pnt2)! [ k; T* r; c2 A E/ C$ a
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*/
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8 O) B$ C( r! {# T UF_VEC2_midpt(vec1,vec2,mid_pnt);7 i( L1 E8 r5 Z2 o
: L: V, |6 M/ s9 O I( y 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]);1 ?3 M4 W' M1 ~6 |
lw->WriteLine(msg);! i" b. r4 h* M. E# V& X! Z0 d
( K+ o- y6 L5 Q1 J. y /* & O1 F9 O: X( G" q, Y( X
======================9 `; V4 @* ^5 @5 e7 `1 c9 \
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);
8 }/ s7 x7 H: E6 X3 k UF_VEC2_rotate(vec1,2,vec_comb);' F3 [* ~! X/ q6 J6 {- K @
UF_VEC2_scale(scale,vec1,scale_vec);
: d. s3 P2 q. Q UF_VEC2_sub(vec1,vec2,sub_vec);
5 ^% m! H3 }" k3 ? UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);
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9 @% F5 j2 L( U 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],
$ I2 |6 D n- \5 H 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]);. u. X! h8 j' F4 t. d& ]5 l1 c" d. b' l+ M
lw->WriteLine(msg);
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