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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。
6 R9 ]% ^9 F; t5 ?4 g, D, w源代码如下!$ `8 G/ J( C% q! H! e4 w
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复制代码
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char msg[256];$ E1 l* |* x3 F
const double vec1[2]={0.2,3.4};
6 t8 C. r* _0 Lconst double vec2[2]={1.5,4.5};
( `$ u `! L4 c7 j4 _. Fdouble scale = 1.5;+ w+ H$ E$ w# J+ {' ~# u7 ?. i5 X
double scale1 = 1.3;. ?& [. v( ]8 Z0 z7 Y3 |5 M$ }
double scale2 = -1.1;2 W7 l/ P0 y" U% l3 G
double sumVec[2],vec_comb[2],vec_perp[2];
/ s2 v" d9 p5 p$ o/ ~1 Vdouble oscale1,oscale2;* ~* H' P" Y0 j- U6 z c
double tol = 0.0254;$ u: O9 a$ v5 o" {% |( W& y
const double vec_src[2]={1,2};" O, u$ [8 y8 W5 h
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];3 p$ l$ M% C" j; K7 t- W5 K* u1 Z
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];3 s0 s7 K; ` A9 {3 w
int isEqual,isParallel,isPerpen,isZero;
; I3 R, O% k* U/ X6 W2 i4 _0 B
* K4 @% L. z# v7 vdouble parameter = 0.5 ;3 Q+ L& i/ N+ w3 Z F& u
double pnt1[2] = {0,0};5 J" j4 p5 w2 I# w
double pnt2[2] = {2,5};0 ~- |- u# Q1 } f
double pnt_on_seg;
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//------------------------------------------------------------------------------, D9 T* S: o2 V" Z% g$ f' I
// Do something
: }; G0 ?" f( `' f1 ^' q//------------------------------------------------------------------------------
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3 i9 N) J4 k4 }void ufvecTest::do_it()
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// TODO: add your code here
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1 UF_VEC2_add : 两个向量相加 ' i. E$ F0 h. s: G% q6 n5 _. n1 W
vec1 + vec2 = sumVec
" y/ y1 o& W, V7 ^8 c) s ======================
2 ^9 H7 i8 o$ ~ */
8 Q4 C5 N- \9 b lw->Open();, _6 X- C, P% S) J
UF_VEC2_add(vec1,vec2,sumVec);# J V5 l1 ]0 L$ W
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]);, H5 ~% Z4 `: R) I2 B3 z. H0 T6 @
lw->WriteLine(msg);# Z3 X0 E# Q- Z! P9 Y; q$ @
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/*
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2 UF_VEC2_affine_comb : 仿射变换
' w0 A2 c, U% b1 s7 v+ } vec_comb = vec1 + scale * vec2;
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*/. |9 v( T% p3 U% x9 c/ t
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
! Y; l9 z3 {, E' j) s 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]);9 B! a$ `3 v# K" N5 G7 y
lw->WriteLine(msg);
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/*
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$ U5 T' s. c; P$ U! u' Q8 {: T: ?, W 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 ' y4 a7 {/ i" h$ z" w
vec1.vec_perp = 01 F1 N, S' f0 R* r7 m1 q. o
======================
$ ^$ R1 z/ S' ?, c# ^ */
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0 O- g. R( H1 f0 P) @5 K7 \ UF_VEC2_ask_perpendicular(vec1,vec_perp);
& }$ q6 p* G; ^: T7 J( ^* e sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);4 G z1 A) M; y9 A7 t
lw->WriteLine(msg);$ { g# r z4 Z" J+ s" _6 o$ G
; R6 K6 L s j% w$ q( ^/ f, w /* 4 T! T6 u# ^" H: B$ l
======================! x% B" F) t# h+ m3 ~
4 UF_VEC2_components : 求出垂直的向量 ; {. P% X) n+ D1 Y
vec_comb = scale1 vec1 + scale2 vec2+ ~" u+ F1 q q8 [% m5 t
返回: 0 可计算 1 平行
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. Y& u4 h" E+ t */
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' i s1 y' o3 K int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
4 d0 p Q8 K c; M5 s+ U K sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
! Y6 y( @2 B2 a# ~! m7 z lw->WriteLine(msg);- A8 g4 S( o; j2 b: z+ \+ r m" c
% Y0 {; j* I1 z: Q /*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
5 ^* I0 j% B# U* P z7 h* `" @ pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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*/
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);- ~! k$ D$ [2 B" ~; [9 v
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);# V7 ~* I' e2 e) Z- O! }7 O% d
lw->WriteLine(msg);: @; D5 R3 |0 b/ a! V0 z8 Q
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/* 8 m: m% L- m' n
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. d% E) K S3 x8 h( [5 b1 \ 6 UF_VEC2_copy : 向量拷贝
7 `5 D4 `5 X; d" _7 m; t( @# r2 | vector (vec_dst = vec_src).
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*/
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UF_VEC2_copy(vec_src,vec_dst);$ _: {4 ~$ @2 j2 y5 j4 a2 K% }; a/ 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]);
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/* # M$ i2 {- L3 p* C
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7 UF_VEC2_cross : 向量向量积
' q; H" \+ F, | cross_product = vec1 x vec23 K( n" d( t7 q& i+ y2 ]
======================
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UF_VEC2_cross(vec1,vec2,&cross_product);; ^4 }) l3 n; n8 o: M! m2 s! {
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);: `# Z+ W6 Z$ b0 N# y% c& i; h- J
lw->WriteLine(msg);
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- w. X4 E! m8 \$ d1 }0 x% [ /*
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1 e5 w5 |' e; U6 F( r% l* g m 8 UF_VEC2_dot : 向量数量积& C- T+ P/ l6 V" [9 ?3 ]5 y
cross_product = vec1 . vec2" R& `$ |0 W, F5 l% ]5 X/ X; m
======================
+ F9 [( A- H; c */
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( i' F6 X9 f! c UF_VEC2_dot(vec1,vec2,&cross_product);, l+ P! J ^+ U& p4 q
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
8 T; r; q3 {9 D l2 z& [ lw->WriteLine(msg);8 x# O0 o1 p: ]+ |1 k( ~
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/*
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9 UF_VEC2_distance : 两点距离
6 S+ J, W+ r: U (distance = ||pnt1 - pnt2||)
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UF_VEC2_distance(vec1,vec2,&distance);( v) `% Q" X2 d$ _8 N) ^
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
7 }, O; N5 g' ?& n* ~' |9 u6 V! c4 t lw->WriteLine(msg);& J+ @& W# h* F. B1 ] W
2 z* M2 c% l) {- E /*
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10 UF_VEC2_is_XX : 判断矢量关系
4 l' @& c6 g) A, u# g 0 = false( y& x. u9 k3 H. g/ H( a7 q8 X
1 = true+ N( r; P* s" K4 Z+ k- P2 h
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*/
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9 x) @8 w! o& J8 s' s; D) O& K UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
7 G! J# ` i, Q6 L L c% A; J4 E* U UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
; `4 \# A6 M) c+ X9 Y. M+ \* F UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直4 V2 i! ^9 O8 [% |2 a% f, m3 c
UF_VEC2_is_zero(vec1,tol,&isZero);//为0) |$ ?1 D6 B3 r: y$ x; y q& |
4 g7 D' g# j4 g8 @& O3 W 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);
$ n& ~1 w8 j4 P0 e8 a& j lw->WriteLine(msg); R. h3 P \# ~, Y& q9 \. d
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======================
! E4 X" q& u b, m1 e 11 UF_VEC2_linear_comb : 线形组合
# _2 [3 `1 U' F1 z- W6 Q vec_comb = (scale vec1) + (scale2 vec2): y8 H+ d5 L2 G0 T
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*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);! Z( U( Q; b- ]2 V1 A# ?
- V! V3 O0 _5 S 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]);
2 W7 P, p# }( B; j lw->WriteLine(msg);
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' o8 }! C4 v; D: `$ H7 j /*
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4 `! F# ?4 M$ \5 @ 12 UF_VEC2_mag : 向量模: n: \0 G2 d* M4 s0 w( ]6 q t+ z
magnitude = ||vec||2 E, e4 H5 e1 P8 j) s% ?/ L
======================
5 Y9 r" G8 G# y5 D3 e2 a# v */
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0 A' N4 l& A A UF_VEC2_mag(vec1,&magnitude);8 j- `, l6 y5 J, p. g
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);) V. k( J2 C; ~' t4 }6 M: }- k
lw->WriteLine(msg);8 g& E& B$ n, W4 `5 m
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/*
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" n; C5 W0 U2 C$ L' x7 ~& `, m 13 UF_VEC2_midpt : 求中点
( N2 ^* R- H& H7 G mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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}2 _; O; i9 w" [8 D' o c4 d4 q UF_VEC2_midpt(vec1,vec2,mid_pnt);8 ]3 n4 w5 y# u ~4 H. A( I
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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]);8 W( [0 m1 N; i& w# N
lw->WriteLine(msg);& v% y2 B& d" \& e2 {2 R
: I( e D# m3 k, P' ]8 p/ E /* 2 S& h8 a7 F' L; V+ d
======================
# z- @; M/ f' R/ l% L3 J- z 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划
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UF_VEC2_negate(vec1,neg_vec);7 L/ }, p+ p: S* Y H* M
UF_VEC2_rotate(vec1,2,vec_comb);( v5 ?1 r0 Z& M5 c# @
UF_VEC2_scale(scale,vec1,scale_vec);
9 k3 K/ X, d T UF_VEC2_sub(vec1,vec2,sub_vec);2 S C# d4 X* j% k/ n
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);5 U1 F1 G- b; J
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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],
8 u) X/ ~* T& o5 ` 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]);3 b0 D2 X6 l/ K0 U9 A
lw->WriteLine(msg);
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