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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。! M/ H- b' U% N0 L9 ?) x4 c, }; @
源代码如下!
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复制代码
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5 k9 U+ D3 f g- }/ W% q$ B. @char msg[256];8 ^6 L# ?5 X2 k6 G
const double vec1[2]={0.2,3.4};+ C$ ?8 m( x! ]$ X
const double vec2[2]={1.5,4.5};
& n( K- ?6 F1 d, Z& P. C; H% I% Fdouble scale = 1.5;
$ p6 |6 M0 V1 p/ j0 F% t" a( ]double scale1 = 1.3;8 ?: V, d. v: Q0 t
double scale2 = -1.1;7 q0 R0 ~ Q# _- v* }
double sumVec[2],vec_comb[2],vec_perp[2];" m' W' J# B) F9 g
double oscale1,oscale2;# q1 m2 Y! P) q7 d7 ?
double tol = 0.0254;
4 e% ^ ?; u! i( ^( Econst double vec_src[2]={1,2};
9 l' v9 b# j7 `: A k6 b; X8 Cdouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];: j9 } v) a/ `# H0 S0 U; R
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
9 t+ m( ^9 m( d. Bint isEqual,isParallel,isPerpen,isZero;
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! Y2 P2 Y4 E Q' }4 N3 xdouble parameter = 0.5 ;
& w, q1 C+ | V9 mdouble pnt1[2] = {0,0};* \( U, N# F' T: M7 [
double pnt2[2] = {2,5};0 s. T8 V5 P7 B7 V* |) C
double pnt_on_seg;" E: J w8 _9 o# Y: i
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//------------------------------------------------------------------------------ }: L3 S- r' B4 d
// Do something) r! E$ u2 F2 v( p. S% e" n1 E
//------------------------------------------------------------------------------ S& E3 ~, j6 T& C' P- s2 k& b
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void ufvecTest::do_it(); Q S, g4 w; S Z
{
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// TODO: add your code here
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/* ( @3 j% o N# j
======================
' [% w- ?% m6 q) n9 N' | 1 UF_VEC2_add : 两个向量相加 * |% W3 m) M; h b* i; y
vec1 + vec2 = sumVec
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lw->Open();$ s) h0 i' z/ Z# ^3 {8 c
UF_VEC2_add(vec1,vec2,sumVec);% a* q6 r* }( t
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]);
. ~, \/ u) z6 o: j- L, A& @! T; h lw->WriteLine(msg);8 Y& C) q/ e# v4 C6 f u
6 w: \6 n4 y2 y- O+ z /*
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5 |' e. t8 n8 k' ^6 { 2 UF_VEC2_affine_comb : 仿射变换
0 b2 B# ]1 I- M vec_comb = vec1 + scale * vec2;
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2 Z) N9 `1 m' r8 o UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
( t9 q, H8 o4 ]8 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]);
~$ q1 n$ m/ u& C lw->WriteLine(msg);: r* p/ ?& h( A0 e F9 H/ Q
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/*
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. Z; {6 ]+ a8 v9 k/ l& W 3 UF_VEC2_ask_perpendicular : 求出垂直的向量
2 Y# z8 Q8 E! E1 h$ w1 P vec1.vec_perp = 0
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*/
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
) y/ G: C( r4 R1 p sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);. @1 A7 u) T, u: h/ y5 o. \
lw->WriteLine(msg);
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/* 0 \' K; } a5 E2 ]( p& _$ Q
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4 UF_VEC2_components : 求出垂直的向量
; _2 f( ~8 u7 q vec_comb = scale1 vec1 + scale2 vec28 t: F4 W. u7 ?- C. i9 z: X9 u) J
返回: 0 可计算 1 平行
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$ {) K5 r7 R4 a4 P" R1 P. }1 h3 h int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
$ W. v0 w+ d4 l$ G. j9 f sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);- j$ R$ R c( K$ x8 Q
lw->WriteLine(msg);6 J8 D5 D4 B0 `8 M e
) y" M; E* z' Z /*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置& d( W8 y3 G2 E3 }: ^6 G
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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; C+ @8 H# t& V8 p' U UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
! f0 c7 S2 s3 r sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);4 l, _3 W( u8 i% D1 X
lw->WriteLine(msg);. k. O/ w# V6 y d! l+ q0 Z s
0 |; k) t! t- P/ ~7 K6 ] /*
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6 UF_VEC2_copy : 向量拷贝( w* ~/ N# k. H$ y ^! v
vector (vec_dst = vec_src).# X$ P$ }3 ~' W# ^5 l) r2 z. Y8 s+ ]2 ^2 H
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UF_VEC2_copy(vec_src,vec_dst);
0 Y2 ?! }; M: a- N7 D' x# a( ^! S$ }; o 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]);! z& b' w9 K( s" q- v) D6 a1 J
lw->WriteLine(msg);7 q3 l7 V) O2 P' u5 a: F3 N& p1 T
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) u K/ b ^5 j" g$ g3 V- } /*
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7 UF_VEC2_cross : 向量向量积 V9 t3 W- f/ A1 f, ^1 h
cross_product = vec1 x vec2
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UF_VEC2_cross(vec1,vec2,&cross_product);6 F- G9 W! f ~$ v$ `$ J
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);8 S& Y% B0 f2 {2 T
lw->WriteLine(msg);3 P! C' ]: g* v$ {# Y' V
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/* ( a. b8 N# e! q+ r
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; q: N' O' {$ D8 \ 8 UF_VEC2_dot : 向量数量积9 W5 Y( S$ q) l9 g$ e
cross_product = vec1 . vec2! Q. l- x- {4 {% i( L
======================
0 B W% q) T) d3 J */
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5 a. |; [; d& @) y% x( h C UF_VEC2_dot(vec1,vec2,&cross_product);8 z ~# ], c6 K# V* O. ~
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
) q/ [: P( M+ ] lw->WriteLine(msg);: ~/ b- a) a' u5 M
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/* 4 S5 L4 H8 |: W0 p; t9 c
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9 UF_VEC2_distance : 两点距离
- v9 s8 w7 I( n# | (distance = ||pnt1 - pnt2||)+ X, \ u2 y" b! A! S2 t1 v# N
======================
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- v- ?* a P, ]. h- Q UF_VEC2_distance(vec1,vec2,&distance);8 Z" ?' c2 I8 w" B
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);' c; R/ e& {% K5 z$ ]( ^$ h, G- O
lw->WriteLine(msg);
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. j9 I1 L: a! p9 F /*
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10 UF_VEC2_is_XX : 判断矢量关系
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1 = true
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*/
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等+ F" ?% s, q/ y7 d& I
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行- B/ I/ M, }0 ?8 O p1 E# f3 b
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直 d! E+ s' L% z# f- K0 S G+ ^
UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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7 Y/ t/ y" c5 b* Q: I 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);8 y. { t9 K7 T Z5 r* H
lw->WriteLine(msg);
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/*
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. E+ d2 a! s) Z- E j7 \; t 11 UF_VEC2_linear_comb : 线形组合# b3 _6 B4 m( x) h( ?! ]3 d' M8 o
vec_comb = (scale vec1) + (scale2 vec2)
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);" T8 o$ T& Y0 Z8 O# U* F
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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 g# l0 W6 h, i' a7 t
lw->WriteLine(msg);$ f2 [4 A3 q+ t# m% ]: f
' y5 q5 D# i8 D" O) { /* ' i. X0 P& J) G2 `% V6 d3 z% e
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12 UF_VEC2_mag : 向量模7 r; k. A( v! @1 ^( ` @' _- h
magnitude = ||vec||( g# ?: j/ P h6 C
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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);. c) e8 V( q9 k' P; d2 E
lw->WriteLine(msg);
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/*
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3 d- Y6 O; s" p 13 UF_VEC2_midpt : 求中点 - U% t" P6 p/ M9 B* U; k6 G# `
mid_pnt = (0.5 pnt1) + (0.5 pnt2)! ~3 j' g: e0 n8 }( P
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*/
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! v' [) O! A/ c; r 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]);
9 m2 o$ C* a0 ~1 o7 M lw->WriteLine(msg);( z0 R M4 r- N3 m* e
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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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*/
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UF_VEC2_negate(vec1,neg_vec);6 @1 r" y0 y% c4 [& q9 X& L/ _' w
UF_VEC2_rotate(vec1,2,vec_comb);+ I& q5 B$ q' A) Z$ y; n! B' x, p; X$ n
UF_VEC2_scale(scale,vec1,scale_vec);
$ |# X0 L- y, y; }1 `+ W+ | UF_VEC2_sub(vec1,vec2,sub_vec);
4 N- }; C# I% X5 Z+ o UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);/ E+ b" u" C' C
6 L L/ W* l' d/ Z3 |2 r0 q 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],, l. R" m* {& A0 } K
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]);
) q! b: p: T1 M1 @% l lw->WriteLine(msg);* q' X7 H3 b( F
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