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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 n9 k3 a+ b/ n
源代码如下!' D: `9 _% O; l9 d
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复制代码 % w+ |2 ^8 W5 y8 Q5 B0 {
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char msg[256];# J7 r. r1 V4 R9 k
const double vec1[2]={0.2,3.4};
6 @+ E6 _; q# u* }+ Tconst double vec2[2]={1.5,4.5};
; X; `! d" n( e0 C" Q4 ^double scale = 1.5;' x `! Q' b+ t! q8 z S3 V
double scale1 = 1.3;. \- R- A+ W7 i2 j
double scale2 = -1.1;9 b" l: T/ j: ^$ }
double sumVec[2],vec_comb[2],vec_perp[2];
# T# S. p6 r( o% }2 W4 Zdouble oscale1,oscale2;( ~9 W& d) R1 u4 @+ B) _8 f6 ?
double tol = 0.0254;
& Z+ m( T2 V8 L8 }9 v8 G/ _0 u/ Sconst double vec_src[2]={1,2};
& y' R; w0 E' [( N( \double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
1 e P; _: x+ `% J9 B* fdouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
: [- l2 `6 k, ]& y6 {! Y5 r! mint isEqual,isParallel,isPerpen,isZero;5 A4 i9 A! N# u$ [0 m
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double parameter = 0.5 ;# m' l+ e3 J8 V7 v- h
double pnt1[2] = {0,0};% g" \1 |5 C4 o2 o$ `! k3 D+ S
double pnt2[2] = {2,5};
6 ^& g; I$ T& Z+ I( Q5 L) adouble pnt_on_seg;
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//------------------------------------------------------------------------------
) I$ e; F9 D5 ^( s: I0 {6 c, r// Do something" M4 p4 c8 Q1 L0 B/ H( I
//------------------------------------------------------------------------------
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+ u1 n; H8 ?. j& f' x; Q: J& ^void ufvecTest::do_it()
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* f. G# i9 E- s. s R& T. U // TODO: add your code here
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+ \& b }3 \$ c" J, V2 G /*
! K1 h: m8 K6 p2 }5 g, a% U7 e6 } ======================
- p, b- a7 w5 c8 B1 d 1 UF_VEC2_add : 两个向量相加 2 X! Z; L, [) B |( [, E6 E k
vec1 + vec2 = sumVec3 p2 R; e! J: `8 k8 W& I; z
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lw->Open();) K+ |7 z( K8 ~- J# Z C5 _) W: r& k- t
UF_VEC2_add(vec1,vec2,sumVec);
& u+ c/ o2 E9 N1 d# l 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]);* K3 q9 r- R4 Y6 H
lw->WriteLine(msg);+ b% J* N* P/ r
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/* " G7 X4 H* R% p0 k& P$ q) w
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2 UF_VEC2_affine_comb : 仿射变换2 p0 X9 i8 i' b
vec_comb = vec1 + scale * vec2;* G& Z. E9 p3 \' d9 o0 u
======================
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);+ o( D5 V) H" |% y/ x
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]);
! K* _& g9 R4 l lw->WriteLine(msg);
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/*
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: u2 K3 L6 ]/ C5 b 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 8 F" ]) B0 m) [% N
vec1.vec_perp = 0
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UF_VEC2_ask_perpendicular(vec1,vec_perp);0 S) U0 z/ P& _3 M: \/ y
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);3 O& ~9 @- M, A" f! ]; |
lw->WriteLine(msg);$ b# Q5 e. ^- m( ?2 r
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/*
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4 UF_VEC2_components : 求出垂直的向量
/ W* A% `% F: Y6 h, B0 ~, F: N; K vec_comb = scale1 vec1 + scale2 vec2
8 l: w/ I# c0 D2 T9 Y. Y- v5 F 返回: 0 可计算 1 平行% R/ H; A1 x' B. v/ o( z, |
======================
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);% B" m) ?7 Z' V' t
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);* K) m: x( i3 k* h% `/ n9 P9 v9 v
lw->WriteLine(msg);
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3 w" H- ]) |/ s& k /* 9 q. I* g( _9 t, q; F2 @
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
* w* Z. _) Y. b" B pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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5 }) \% h# ^. d9 m/ k; s UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);) I/ N8 w x& A; P; C" f
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
j9 d1 x+ n4 |" H2 j7 o) n lw->WriteLine(msg);
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/* % x# l: _% t& @' x. b P
======================
% _4 l( x8 f% E, c& m, J- K 6 UF_VEC2_copy : 向量拷贝9 x( s' F3 S# F& m. Q* p p
vector (vec_dst = vec_src).8 E7 ^# b! H3 ?5 u* r( H2 h
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*/
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6 ?+ i0 z8 L, N/ } UF_VEC2_copy(vec_src,vec_dst);/ O1 W( @ |! k2 C' \
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]);# ]7 i n: k6 O+ k3 q8 l4 n
lw->WriteLine(msg);
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2 e2 s% ?6 g9 m K /*
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7 UF_VEC2_cross : 向量向量积
( z) k2 \, N+ Z O$ ?/ i0 z& u& t j cross_product = vec1 x vec2
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UF_VEC2_cross(vec1,vec2,&cross_product);6 M; P: e$ r5 l" f; p
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
% z% w1 n$ h0 ~: @& w: K9 q lw->WriteLine(msg);, x- N: S" E5 b9 D# v8 A1 k
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======================
' `3 D! T; g/ f Q 8 UF_VEC2_dot : 向量数量积4 i. X& U# B, K7 @4 i$ {5 @
cross_product = vec1 . vec2
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* |& J! H: d7 L3 G; t& O UF_VEC2_dot(vec1,vec2,&cross_product);7 |8 e% K9 n8 Z/ _
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);8 N8 [$ y' p6 H0 p6 b4 z
lw->WriteLine(msg);( ?! M' D- S7 V1 _7 n
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/* 1 y+ O/ [% @. F. s; e' x" r
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: Y0 C: @6 r6 ~, E 9 UF_VEC2_distance : 两点距离0 x1 @7 g, F7 |: H. z8 q
(distance = ||pnt1 - pnt2||)9 W* S& w p2 ?8 D
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*/
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- ~) H+ X( x9 Q' @ UF_VEC2_distance(vec1,vec2,&distance);/ M% j |! r6 f0 V1 |' w. K
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);) v: v( ]& G R: g+ U8 ~
lw->WriteLine(msg);
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======================
3 r+ ~; v" y; E0 n 10 UF_VEC2_is_XX : 判断矢量关系# D, f! p( Q7 m/ J8 s6 _3 X
0 = false* q* w" I& {1 l( ^$ k0 S
1 = true
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( _- B/ { m) r* t3 U3 c4 p+ S1 n; l UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
/ H9 N2 l) W% a ] UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
) B% ~1 q% P8 ^* \1 f p7 p: I UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直3 B& b: Q2 N+ S+ a1 F4 @; R# m
UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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. K, O, V* j, w g2 J 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);& Z0 s7 O$ ]% R4 W1 p8 q: q
lw->WriteLine(msg);
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8 H2 L& ^7 a \' b4 K% F /*
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11 UF_VEC2_linear_comb : 线形组合1 d$ T2 F3 M) @
vec_comb = (scale vec1) + (scale2 vec2)! g3 p& ?+ J4 A: S& I8 l- a
======================
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);
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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]);
$ e2 u6 q( [3 f4 Z# n lw->WriteLine(msg);
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/* 0 |4 c; z9 h6 } ]3 b/ t' ?: u
======================
; L" T/ ~% J8 i' e 12 UF_VEC2_mag : 向量模
# |6 r" {( Q0 U2 w, E. g magnitude = ||vec||& ~4 I- A4 m* W$ t2 s% O
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*/
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UF_VEC2_mag(vec1,&magnitude);& B* v( A5 G3 b4 Q( ~
, v; b, Z8 U) F% e) e+ |$ @% X' v1 s sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);0 z: l- t0 F' `5 t5 Z
lw->WriteLine(msg);4 P/ N' K `% b9 Y: r2 a7 `
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/*
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13 UF_VEC2_midpt : 求中点
/ X' W: B& p9 q( S0 x mid_pnt = (0.5 pnt1) + (0.5 pnt2)/ k6 `" M2 r; M
======================
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2 x# r$ n; T+ R; A UF_VEC2_midpt(vec1,vec2,mid_pnt);% z w2 V/ w% R5 ~7 U4 c
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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]);" p: _3 H" g1 C3 s9 E1 u4 e0 b, r
lw->WriteLine(msg);/ X% ]! i# \7 H" D7 T3 C$ u1 K
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/* / v% Q/ L8 X+ Q9 t& S" @' G9 Y
======================
: W" f. h" F( y6 i8 V/ o 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划+ {8 E, e. X7 `$ T' \
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======================
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UF_VEC2_negate(vec1,neg_vec);; I# U. p3 S5 b2 i
UF_VEC2_rotate(vec1,2,vec_comb);
; [) H; ^; E# ]: d) Z8 B UF_VEC2_scale(scale,vec1,scale_vec);
* e2 W: g+ A4 A$ q1 O UF_VEC2_sub(vec1,vec2,sub_vec);+ u9 }- M+ T; K$ b. h
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);1 n2 P9 J$ L4 J3 u- Z
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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 C) F; H$ o I$ V* [2 j. G j
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]);
% H3 V# W! R( x- ~7 i& r. ~ lw->WriteLine(msg);
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