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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。
. ?" O+ m2 V6 E6 R g' ?源代码如下!
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char msg[256];5 a, c; M V# z* m3 ]! V
const double vec1[2]={0.2,3.4};; F0 o! G) S) n! @ t
const double vec2[2]={1.5,4.5};
# b1 n6 V" @- @! y9 G# L* U4 ndouble scale = 1.5;
7 Z# } [. q4 Z6 I3 e3 M- m6 h5 }double scale1 = 1.3;0 ^2 b3 _+ o) n) z9 W" z7 M
double scale2 = -1.1;
3 C# U! \ r, k3 e3 b2 mdouble sumVec[2],vec_comb[2],vec_perp[2];/ V$ t, w+ k/ c3 o4 q8 o4 m' b5 L
double oscale1,oscale2;
* r/ X/ c& x1 q4 ?& I0 vdouble tol = 0.0254;
! k- g9 ^- ~7 f& \' gconst double vec_src[2]={1,2};
2 V$ c0 t* c0 udouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
* l) X: w5 V. W d+ [double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
- w) Q- H7 r a, s$ I# @% e/ a: @int isEqual,isParallel,isPerpen,isZero;0 G2 l! C/ Y6 _* I/ v* C+ L) E; ~
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double parameter = 0.5 ;: x& a; h) X9 v; k1 X; Y/ t
double pnt1[2] = {0,0};
, K% O6 v- |# pdouble pnt2[2] = {2,5};
0 N) N6 O |) Udouble pnt_on_seg;. n8 P/ S4 d" v7 I" v) C6 O: Y
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//------------------------------------------------------------------------------4 G# d. N- y2 N1 B5 ?/ W% N3 a- N
// Do something
0 d5 K5 h# H" S2 Q2 d//------------------------------------------------------------------------------
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: g8 E: B. Q( s& Avoid ufvecTest::do_it()2 r- c* r w0 u
{
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6 f6 ]" K3 d0 y // TODO: add your code here
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/*
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1 G) ^ ^) M- {+ B h0 l2 H 1 UF_VEC2_add : 两个向量相加 ' V. ?2 v+ _: }) G- A6 u9 o l- I
vec1 + vec2 = sumVec
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*/
- k1 v k. Y8 R& n5 u% L# ~- `; w& }7 L lw->Open();
1 l2 ?5 z+ y1 }, Q4 Z UF_VEC2_add(vec1,vec2,sumVec);; z6 h9 ]/ u5 D+ M' V: e& A% `
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]);$ ~0 a+ m4 J8 @- n: I% ^, \
lw->WriteLine(msg);5 l7 L" n3 y+ N, t$ c: W
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/* 5 G) R* M8 z Y. R' { A
======================
! h& {% J0 V, {3 Q0 N2 r 2 UF_VEC2_affine_comb : 仿射变换
1 E$ @8 j8 ?- |8 ]1 I! l- u) S0 ? vec_comb = vec1 + scale * vec2;/ ?4 M3 _# Q2 t) q6 R
======================
( m6 q$ }# f+ D: H) m */
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);- |* X1 Y! b0 x/ T% t @
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]);
3 W$ }. c \. G- b lw->WriteLine(msg);
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8 t& `* J% G0 z6 z. D. P3 z" E1 e /*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量
! }+ O* i+ I! U vec1.vec_perp = 0
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. N! Y. Y: X# R5 `" e$ ^ */
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UF_VEC2_ask_perpendicular(vec1,vec_perp);/ d6 T4 m2 ~+ J# b
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);$ f( Y' G+ i( `, W" f
lw->WriteLine(msg);2 V: P8 ?5 ^9 {' b5 {% T
; i; E& W+ @/ f+ ?7 @% }2 K6 O /* + G$ _0 v0 Y5 A. p9 a: v" @0 d
======================
+ \8 ]8 Q/ S- V/ d2 R" C 4 UF_VEC2_components : 求出垂直的向量 & D6 q+ `; \0 l2 `3 Q
vec_comb = scale1 vec1 + scale2 vec29 p- e+ d+ w" p+ V
返回: 0 可计算 1 平行
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*/9 S, j% ?/ l+ M* w
0 M. {7 n, z* q# }/ p int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);* S/ y1 m/ A: E( P4 e0 a
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);2 j& \6 N7 g, L( X$ q. W
lw->WriteLine(msg);0 L# a- w3 K- S X
1 o' a7 {6 l/ K2 N$ |4 W" U# @) | /*
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- Z/ a; X, h: \# o 5 UF_VEC2_convex_comb : 计算点在直线上的位置. {( @' A5 h+ B& @6 C& z8 t
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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. a$ n# n+ A s3 b UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);9 Y6 i: r) n# V, _9 ?9 r
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);4 V% v& F" x. e3 \# v0 o
lw->WriteLine(msg);
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. Z+ [- W' a+ m" g) Y( r /*
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6 UF_VEC2_copy : 向量拷贝
/ W$ y b8 z7 F; j: G8 M vector (vec_dst = vec_src).
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" n3 {3 q; s J: s UF_VEC2_copy(vec_src,vec_dst);
. T- o" I! G1 s( x 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]);
4 `* F' E, J, \. g7 g$ S) q4 [ lw->WriteLine(msg);
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/* $ x, g/ \3 }" C/ C& w/ x
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7 UF_VEC2_cross : 向量向量积
4 w+ {" W- c$ [* V# a cross_product = vec1 x vec2. @/ _8 P( K- u
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$ w5 J, Z0 E* O# |& j! d UF_VEC2_cross(vec1,vec2,&cross_product);
- J; Y+ \7 V8 d" k" D sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
^: s; F: P* E+ m' I, t lw->WriteLine(msg);
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9 e+ f6 \2 {; w4 P* J. \ /* 0 z6 E/ D5 D- q1 i% G
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8 UF_VEC2_dot : 向量数量积
* @. J$ _- K% Z2 b cross_product = vec1 . vec2
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/ S4 k, @ M s */
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UF_VEC2_dot(vec1,vec2,&cross_product);. i* A$ Q" r$ P
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
6 Y9 [5 F& m' _% Q1 o- V1 o lw->WriteLine(msg);! z* b, g2 z5 q& G3 C- H+ m- }
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, d- E, g1 [' l. v6 \ /* : d' Z1 h3 F; w' h) q- G+ `' K
======================
4 `. A8 \# D3 X+ ? 9 UF_VEC2_distance : 两点距离
- j1 Z& `. W: V; P, g( N (distance = ||pnt1 - pnt2||); r6 d; J/ v+ G
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*/
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8 ] {$ d5 ^3 C, Y' x5 C UF_VEC2_distance(vec1,vec2,&distance);- R' W% Q& `6 D( y3 `8 H% f5 q, I# ~
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);3 [7 Y5 l7 W3 _1 p; }( ^
lw->WriteLine(msg);$ @2 C: v) q, ~9 R, ~1 m3 i
6 V) l) f- U* K. V# z& Z# g6 ` /* % r- C) C7 j9 {. q L L, l8 v* b* \
======================. Y7 F& D+ ]& s. U4 v5 q4 a% U: [
10 UF_VEC2_is_XX : 判断矢量关系( U/ z. L* }- h" d
0 = false# A0 v/ [; P! v# J. I% o
1 = true
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" \$ {: A7 O' V; S& g */
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" M9 `+ c# u) w) I7 m8 _$ Z r& V UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
9 D1 b# T- v I0 e$ N$ z2 j! O" b UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
. k7 ~0 T0 h3 @( m( C UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
, r7 u' D0 z& |; Y4 D% ~1 m& L UF_VEC2_is_zero(vec1,tol,&isZero);//为04 X" D$ U1 p. [
7 P1 y$ V2 U- Y1 Y 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);0 w: ~: `4 e4 A0 d
lw->WriteLine(msg);, J; d$ h3 G- ] Z
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/*
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11 UF_VEC2_linear_comb : 线形组合 @+ ^/ I1 j) g" ^% U" i L6 K
vec_comb = (scale vec1) + (scale2 vec2)$ e8 L2 {2 y; t
======================
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);9 |) X7 J" x$ w) F( U, ^
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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]);# r3 N& |* H* o( a2 L( X
lw->WriteLine(msg);
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p# {( T0 `1 N. S c /*
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5 p/ ^# U8 t+ [4 z 12 UF_VEC2_mag : 向量模" e4 D! i3 p: a9 }& E% E
magnitude = ||vec||
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UF_VEC2_mag(vec1,&magnitude);) Z6 u0 J! R: M8 e2 D! N+ `% V
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);: x0 \! I6 y1 u, M+ d
lw->WriteLine(msg);: ]5 @+ o' n- `
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/* # w9 i7 r; ?' i% w5 w
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13 UF_VEC2_midpt : 求中点 U, z; `6 X- u2 M- o4 u2 b
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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UF_VEC2_midpt(vec1,vec2,mid_pnt);
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2 n" m% J0 J$ e 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]);6 t7 @7 G/ N4 b, ?0 Q- q
lw->WriteLine(msg);
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/* & ]( V D1 {0 q2 c
======================
V# m; M U$ E+ Z' ^% L V 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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/ v a2 @' J3 Y UF_VEC2_negate(vec1,neg_vec);
: _+ T4 s" Y4 q7 M* } y9 ]" V UF_VEC2_rotate(vec1,2,vec_comb);
0 n- K7 m. x% m- L/ A# L$ `; O UF_VEC2_scale(scale,vec1,scale_vec);; ]" [4 F6 D' o4 B# ^, Y
UF_VEC2_sub(vec1,vec2,sub_vec);
5 \9 b; f; }9 m* m. I UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);4 c1 \. ?) V" z. H% Y' c8 s
& w9 f/ y8 u. `6 m% D0 D3 P( \ 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],
* ~) F" `4 G+ C& c3 W 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 R; P1 d- T6 G" S: j0 c lw->WriteLine(msg);2 G: u8 m" Y. o. ^
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