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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。
( h. f" w9 A V! @源代码如下!
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' |8 f- S/ ~7 ]0 R5 lchar msg[256];* i" S4 w6 q: R9 _3 \( [
const double vec1[2]={0.2,3.4};
8 [; P P2 n5 m% f# Wconst double vec2[2]={1.5,4.5};
0 C4 s' H1 C( H, r! _double scale = 1.5;
0 C3 r7 {( V2 n4 D" I9 r9 Sdouble scale1 = 1.3;* r( p, p* v4 P. u
double scale2 = -1.1;: n5 l/ {' K2 B$ i; D+ ~9 }6 H
double sumVec[2],vec_comb[2],vec_perp[2];1 z" |4 G( @( r( L8 G1 @
double oscale1,oscale2;
% E( v0 t' P; `+ {- q! H& pdouble tol = 0.0254;
! l P; `2 w! b2 C# tconst double vec_src[2]={1,2};
7 @: o) o& P8 `4 Z5 k" Odouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
8 \3 h3 @8 n7 _! B6 ]double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];& Q T0 @, Y6 Y9 D& O* M) V
int isEqual,isParallel,isPerpen,isZero;: t- W# `. z# L3 {' E1 n
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double parameter = 0.5 ;
O9 X8 q( q4 }0 C/ R( A6 a9 f" Sdouble pnt1[2] = {0,0};1 k) r- Y' N1 `
double pnt2[2] = {2,5};7 Q7 R$ B, u7 h4 A2 D
double pnt_on_seg;
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) C$ ^7 P- ~/ Z7 s, ] N/ U//------------------------------------------------------------------------------
1 @. B R# ^7 d4 V// Do something
% o# y c3 }: Q% C0 _2 t//------------------------------------------------------------------------------
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void ufvecTest::do_it()
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& I, d/ E' f5 T: i& M v // TODO: add your code here
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/ G# H9 U% l3 h* @- [ /*
, R( U1 T* K* S. G ======================
2 f5 `+ Q( w% v+ [ 1 UF_VEC2_add : 两个向量相加
! `2 h& C% M+ S6 @$ U vec1 + vec2 = sumVec
8 m; @) _5 v9 i8 [& s' \% K ======================
7 r: @& g4 b* U5 {4 c2 d4 i */
9 n" Y( E, B% Y* C lw->Open();
2 F8 L* x, P/ x) c3 e( ?$ ]2 ^6 ~ UF_VEC2_add(vec1,vec2,sumVec);) l" W1 r' d+ x0 r# y
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]);
6 G+ I0 n2 H) A lw->WriteLine(msg);
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/* q) I: b# d# k, n- f- D M
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2 UF_VEC2_affine_comb : 仿射变换3 {7 X6 t) F1 p% i9 Z* f3 q
vec_comb = vec1 + scale * vec2;
9 I* I4 ]$ A* w. i" J' ]1 v ======================
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7 C, f) p, S; s. ] UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);, s X( E+ H/ [9 _5 b' H
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]);1 {" R1 Y! g5 `6 C! H3 Z
lw->WriteLine(msg);
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: D" J4 V5 X( O0 ?/ e6 f9 Q /*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量
+ k: m4 M; Y" P- ?8 ]) a vec1.vec_perp = 00 Q& z( b6 v: i* e
======================
$ E& F$ t" B" L/ }! ?. d */
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. ^& N s# r' P% C- O* h UF_VEC2_ask_perpendicular(vec1,vec_perp);
, h6 z. I& O& n% G7 `( g- a sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
' S, r2 W$ V1 g lw->WriteLine(msg);8 @& j- C7 D* _1 n* N- O- ]
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/* ) b* l& k' ^ ~/ z) `
======================
; \! x J7 H& r" [" i 4 UF_VEC2_components : 求出垂直的向量
' [5 `1 I! r4 f! ~* u1 e vec_comb = scale1 vec1 + scale2 vec2
/ u* F! y: n H+ x) y+ a 返回: 0 可计算 1 平行
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*/
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' x4 p8 o9 n7 K c; l+ H+ M2 x int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);& t. Z7 k) b6 s |+ }9 g& h
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);3 y! f. V# |4 g/ }3 \1 V% ]$ Y
lw->WriteLine(msg);2 O; }! ]! r% S5 ]- \4 I
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/* 9 q! r @. q3 X y# q
======================
8 E4 O ~% M% L3 }$ o 5 UF_VEC2_convex_comb : 计算点在直线上的位置
" `* n& x$ S4 J# I' u5 w, Q pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). 2 @2 K& J, G) c5 [# @$ M
======================
$ Z; w' l( T/ B6 T/ {& ` */
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);* P, {- p7 h- Y7 G6 }' d. R
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);/ H3 Q0 i" B, f2 [* B" w
lw->WriteLine(msg); c$ }! a+ Z8 t' e
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/* * Y3 {7 F1 |! J8 _, J8 Y9 |
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6 UF_VEC2_copy : 向量拷贝! G, f* Q, ~ J. q( R! j( B
vector (vec_dst = vec_src).
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*/
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UF_VEC2_copy(vec_src,vec_dst);+ w$ A- A' P7 T+ \
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]);+ Z5 t( I% ?0 v, t% f
lw->WriteLine(msg);% s+ @$ Z! u+ \ n9 I) O% j
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/* 4 ~3 f3 [2 ?7 t
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7 UF_VEC2_cross : 向量向量积
1 a0 X: { b* l) N+ R cross_product = vec1 x vec2
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- B' K" t7 |' [1 j& e8 b; c/ k: P UF_VEC2_cross(vec1,vec2,&cross_product);8 Q9 V0 s: Y( c% i L4 k4 I! Y* O
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);) B: k' k. v* T: A y8 S) g
lw->WriteLine(msg);
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0 g6 D& _1 D' i) } /*
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8 UF_VEC2_dot : 向量数量积1 ]) w5 T- n. I2 J+ Z6 p
cross_product = vec1 . vec2/ z. o3 @ `: K1 J, |: f
======================
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- N' E, j `* ?+ A$ M UF_VEC2_dot(vec1,vec2,&cross_product);
" d5 `8 S0 W% R) l: S/ O sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
* h3 C( h5 d/ Q0 J lw->WriteLine(msg);+ F- Q& _* f r# p# [6 g
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% }* d8 n' {/ ?: R /* , R% S( @( y8 k
======================
9 N& c) ]/ E1 ?" s( \6 s 9 UF_VEC2_distance : 两点距离
# h) F2 n) Z# c- e' B$ N2 g( e2 R (distance = ||pnt1 - pnt2||)* W' G; y/ Z4 [# N( H n9 ~
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*/
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* t z+ K/ [. n UF_VEC2_distance(vec1,vec2,&distance);
; t# \5 r; k/ e, Z8 \" q' J sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);) w" e5 d% w$ }( R9 n+ _
lw->WriteLine(msg);
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; @' o/ X( ^2 d8 C7 e% `2 ]' o7 y /* 4 e4 t' n' N. j: ]% J, A, p: V
======================# e/ h( ~3 z8 A4 h: `
10 UF_VEC2_is_XX : 判断矢量关系& G j2 p2 Z* b' o' k( R
0 = false
2 m2 h, n% y% @1 u4 p: ^ 1 = true
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*/
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等1 X+ d9 n6 w/ }# [+ T$ {4 y
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
& X p/ s" I! x' P$ {: n# O UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
" i" A! z1 n* a' P' Q2 D3 w UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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7 }6 S3 p5 l* F 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);
/ |* I' }: D6 b& J# D4 S' y: E lw->WriteLine(msg);- b+ z, q' A5 _" [, G
; i8 p8 q1 B5 T5 _# O7 G8 g
/*
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11 UF_VEC2_linear_comb : 线形组合- S* b" K, H' L m
vec_comb = (scale vec1) + (scale2 vec2)
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*/
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; r4 m+ @6 _( F2 x) Q UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);
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4 x# q" G: c+ ^. n5 c/ 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" L5 J9 `/ V6 i lw->WriteLine(msg);
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/*
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! C8 Z0 ~; S8 ?) O' n: O 12 UF_VEC2_mag : 向量模) G. h: a) F3 _/ `4 ` f- r
magnitude = ||vec||
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*/
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UF_VEC2_mag(vec1,&magnitude);1 w" T4 S2 t5 \9 N- C
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
' d8 r1 ?4 T0 g7 h8 ]2 v lw->WriteLine(msg);
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7 W1 A& U- w( w /*
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% z0 I6 G# n* o7 c 13 UF_VEC2_midpt : 求中点
9 N" x* s7 f! r H, M% b mid_pnt = (0.5 pnt1) + (0.5 pnt2)4 o" B! l7 ?# |+ C" [: J- K/ Q
======================
: S/ Y% a- v- Q9 ] */
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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]);
0 b: Q" z1 p$ q: x lw->WriteLine(msg);
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/* * l2 [' P. k$ ?% ]; \
======================% [" W7 W& m, w4 T2 s/ K6 K! B
14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划7 |: ]; E. D$ l# o3 J6 `
* P% N k h- T8 f2 O8 q) T ======================
. j6 B E+ ~% X3 K2 P9 U */
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UF_VEC2_negate(vec1,neg_vec);3 }: F/ f9 u* A+ S
UF_VEC2_rotate(vec1,2,vec_comb);
1 ?) v: s/ [: Z1 Z* j UF_VEC2_scale(scale,vec1,scale_vec);
; L6 K! a3 ^) Y% n! k7 e UF_VEC2_sub(vec1,vec2,sub_vec);9 N: ~" `+ `7 v' \+ i: p5 B! l
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],
7 {0 e7 [) F" d 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]);* m, D+ U2 E/ x8 K n$ V
lw->WriteLine(msg);
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