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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。/ a0 Y" N. q/ P" C0 `
源代码如下!; g6 Z3 b9 L: b
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$ C& i3 R0 b' ~1 Dchar msg[256];
% b" ], d, y$ p! g) X3 n6 O$ Y7 Dconst double vec1[2]={0.2,3.4};
7 H2 k0 z' l: _9 e. S, S& T8 F- r9 nconst double vec2[2]={1.5,4.5};5 ]' Q% |. Q9 F* {$ H& T" D
double scale = 1.5;& D; V) H: _; @* ^+ L& N8 w* l; D
double scale1 = 1.3;
5 K* i% q2 W6 q* a9 t9 Idouble scale2 = -1.1;3 b$ P* W6 I/ k8 @$ f7 P: t( K" i
double sumVec[2],vec_comb[2],vec_perp[2];$ S: s3 A( p' |* v. F2 G" [6 T- `
double oscale1,oscale2;
8 Y2 m0 c0 t7 \1 Wdouble tol = 0.0254;
* i1 z$ o2 M4 F* P' _9 x6 Zconst double vec_src[2]={1,2};
9 N. G5 t A [* S3 d- Adouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];1 m( I4 n/ y* M# n% I
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
2 D& ~6 l y) X) D3 Dint isEqual,isParallel,isPerpen,isZero;
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$ R) H3 r- z# U; ~% B3 h" e* S* n5 Ydouble parameter = 0.5 ;
, X" v/ F9 t/ h b5 }) ~! }double pnt1[2] = {0,0};
4 o* x! u! V. m! y2 p: {0 N3 h idouble pnt2[2] = {2,5};# l7 G! ]- W( V* e0 b" I2 G
double pnt_on_seg;
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//------------------------------------------------------------------------------
+ {1 E5 |& J2 |( o* ^// Do something: y+ X3 f- x/ H0 o
//------------------------------------------------------------------------------
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void ufvecTest::do_it()) e4 K9 R' n+ a, X. H
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// TODO: add your code here
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9 d! C5 O; e( Z" \ /* $ t- i" D8 y* l8 ]: V: b. z) `
======================
- X+ D) }% ?. v$ n 1 UF_VEC2_add : 两个向量相加
* J3 g) b( r" S$ A+ [9 t( K" w B vec1 + vec2 = sumVec$ @6 W8 K* `0 e2 F
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lw->Open();
0 e1 x2 _ c7 I4 v7 A+ K. |$ _ UF_VEC2_add(vec1,vec2,sumVec);
; w9 @( {' x! E 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]);
" T4 P; [ {6 |* m) a8 b lw->WriteLine(msg);
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3 y8 ]# A9 I$ p% H /*
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2 UF_VEC2_affine_comb : 仿射变换
$ w/ y8 l, n g _$ p& K ?4 m g1 {! P vec_comb = vec1 + scale * vec2;5 T; F- e8 u) M: i! q& F7 Y
======================
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
, ?% L2 C$ \7 r) _/ N3 ]& f% D$ b 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 S! \ ~$ p$ H lw->WriteLine(msg);
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4 R, L' C0 Y$ c2 X7 c5 r2 U /*
; v9 Z0 S, e9 [5 W$ u( g ======================
- \& \& D$ H5 W2 ? 3 UF_VEC2_ask_perpendicular : 求出垂直的向量
9 d* y. [! b* O3 Y+ g# m vec1.vec_perp = 0( k/ O$ q' }7 ?. s
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
* b, ]8 u: L2 L' S, e& q3 e+ P$ L sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);, a$ I/ `+ H0 k' W
lw->WriteLine(msg);/ Y" r. P. U) Q2 ]
- N) F. g4 G+ T4 E$ P /* ( M2 S7 H% Z$ w7 A
======================
. a7 Q# W' I' n6 f( W: u Y 4 UF_VEC2_components : 求出垂直的向量
2 _1 d- F, g# R) _5 z: q vec_comb = scale1 vec1 + scale2 vec2
9 q8 |8 v8 P6 O5 g8 k5 T 返回: 0 可计算 1 平行
# M M/ \; d$ [: Y- v ======================
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: Y R% p+ z9 {. g: d- \ int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);9 Y7 _4 T V- Q) P
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);- \( C' b; k# F5 y
lw->WriteLine(msg);
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/*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置: q6 ^! P# X; {4 O: j# F. \" n6 |
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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*/
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$ T1 h. S0 q. X0 Y, m: o J# [ UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
& v! X. z9 Q6 I0 v sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
8 f; U6 t* L3 k1 U lw->WriteLine(msg);
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6 UF_VEC2_copy : 向量拷贝 M7 f8 w/ [! X
vector (vec_dst = vec_src).
2 m7 m; w6 |. Z" C# l ======================
% y, C! H8 }$ R% M2 P7 O7 j */
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, j0 D+ [6 J7 }1 d. Y UF_VEC2_copy(vec_src,vec_dst);; V, z0 U# n, e3 k) G
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 m3 x# @- g/ `4 Y" |! l
lw->WriteLine(msg);
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Q$ t" F$ }# }% ~$ N /*
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7 UF_VEC2_cross : 向量向量积% c1 I8 a8 [8 G( W
cross_product = vec1 x vec2. U/ S5 Y- N' m2 g8 t, J
======================
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# o5 l* M8 T2 J$ T$ m1 T UF_VEC2_cross(vec1,vec2,&cross_product);$ `8 K0 Y# |4 T# C4 n: D% w2 \
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
$ M: W" M1 W% Z- V lw->WriteLine(msg);
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$ _/ o' _5 K: `% [ /* $ l0 N f, ?4 F
======================
; p' {3 O8 y. l& n" l1 d. x 8 UF_VEC2_dot : 向量数量积
$ R5 x5 Z6 T; c0 s cross_product = vec1 . vec2
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9 g) K) p8 F; ]8 n. V" E' N) @ */
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UF_VEC2_dot(vec1,vec2,&cross_product);
, I8 z5 x" B/ k sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);7 V( w. c7 o6 g( O2 X& k
lw->WriteLine(msg);* C; p9 i. i8 v- y' c
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/* ! ^- z7 n" J7 w6 V2 H* t
======================
# g m' z9 ?/ m: G 9 UF_VEC2_distance : 两点距离
0 G9 C# J% q& `' z+ S (distance = ||pnt1 - pnt2||)
/ \4 i+ L6 Z: S# B ======================9 Y# ^3 @: [/ r
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UF_VEC2_distance(vec1,vec2,&distance);7 V1 `. r( F1 N
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
9 v# A4 l- L$ R% |) R lw->WriteLine(msg);
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# _4 L: [! z1 k5 |3 {# R /*
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" S* Z& N9 F; I( t$ n, R 10 UF_VEC2_is_XX : 判断矢量关系
- Y8 G( ]) o7 L$ m0 D% x. P 0 = false O3 M1 S& V# U; {2 e# _" v
1 = true [1 L7 t6 J7 i
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
+ s" X+ i/ a; z3 v5 ? UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行% W% L. p5 f# R: K
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直1 g M+ B5 ~+ Y! f; @
UF_VEC2_is_zero(vec1,tol,&isZero);//为0* {3 g" `. }2 V9 c5 ]
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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);: s9 i; c: s0 m
lw->WriteLine(msg);
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/* 3 _9 W7 c( a. Z8 L& J. \9 h
======================
* f0 @: W# f7 V8 }% S 11 UF_VEC2_linear_comb : 线形组合
1 t& L* ]3 w: {8 ?" O" f7 K vec_comb = (scale vec1) + (scale2 vec2)8 D$ F+ i! v/ k
======================
. }1 B/ i( _ a. I* ^) S */
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& m9 _# }0 Q1 D# T: F5 t UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);4 Z' P5 q7 f2 ?
2 d$ m& C7 {' K 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]);" e5 F) K$ z/ u# F/ a
lw->WriteLine(msg);) B8 l' N4 M6 }
b! _' |6 P& @! ~( J4 ] /* 2 ^7 T& p9 |8 r) ?: d
======================
$ C2 D% l' z0 U) @8 Z' ]9 I 12 UF_VEC2_mag : 向量模! ~+ y8 v; _! f1 y
magnitude = ||vec||8 }+ o& W+ f( C. [- N1 x
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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);
* }2 ~& E4 A7 u0 b lw->WriteLine(msg);
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/* ! f7 ?& j! H8 `" J) ]
======================
' E4 }+ Y: R* I2 ~# T5 r: t 13 UF_VEC2_midpt : 求中点 . i% U9 k: R7 C
mid_pnt = (0.5 pnt1) + (0.5 pnt2)( U: Y3 W2 i. X2 T) p3 }
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UF_VEC2_midpt(vec1,vec2,mid_pnt);7 K% z+ [$ d4 h& e
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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]);
! U1 z+ Z! `$ r2 c$ C+ j) Y lw->WriteLine(msg);4 r. M& i- Z: J }
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/*
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6 h& V" F. ]& B; J+ \" O 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划& ^! {2 ^( K/ f
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UF_VEC2_negate(vec1,neg_vec);
. c+ m& q* @0 p* P0 W UF_VEC2_rotate(vec1,2,vec_comb);
6 L7 o2 {1 m3 |0 c$ {) l UF_VEC2_scale(scale,vec1,scale_vec);. k! ]( K5 C. O7 H! ?
UF_VEC2_sub(vec1,vec2,sub_vec); x0 w' D: X0 k( i3 D# X j
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);& ~; h8 a( n* M, r' U, K
& b1 M* M2 C6 k- H1 h; W$ i 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],* z! V. J: f( e1 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]);
0 y" d2 y: F# z; h% y lw->WriteLine(msg);
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