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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。$ T0 w7 h) |6 Z( ~
源代码如下!
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8 w: a6 r! l! N# [char msg[256];
4 b! t, J3 [) y- |9 G2 o/ Y" z+ kconst double vec1[2]={0.2,3.4};
6 S2 Z; M Y$ U u! s) sconst double vec2[2]={1.5,4.5};
9 c- t- V: M D% z' pdouble scale = 1.5;3 i/ ]- { h2 ]1 Y, c6 a. t
double scale1 = 1.3;* [* k& E, ?4 S
double scale2 = -1.1;# k7 n. A% H# D1 S, T6 _
double sumVec[2],vec_comb[2],vec_perp[2];
4 @( c( D( K' t' r; E' ddouble oscale1,oscale2;) d) Q1 R, J# T$ D- @- m8 H
double tol = 0.0254;- M8 D3 D, Q& g5 C; ?
const double vec_src[2]={1,2};
4 e9 y8 _. J2 p/ wdouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];$ Y4 e3 @, s3 L. n. w& ~ ^6 b
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
# l7 m7 C( ^' |$ ? W$ t: m$ ^int isEqual,isParallel,isPerpen,isZero;
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% q( B6 E' c/ Y* x. ydouble parameter = 0.5 ;
2 u6 V! t- D& u2 |3 e$ S0 udouble pnt1[2] = {0,0};
* y6 I8 Q. {& B( T: _$ Qdouble pnt2[2] = {2,5};
( i) t! F( [3 x# H2 j" H1 e( v7 Vdouble pnt_on_seg;* E9 e0 |: A5 ~: ]2 ~- Q4 B
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//------------------------------------------------------------------------------* c6 D+ {" S7 J% i
// Do something
4 A" X/ k2 k' B: U5 d2 q//------------------------------------------------------------------------------: E$ t" W v! N# M' O
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5 k" w7 B* E) o+ w6 _& uvoid ufvecTest::do_it(): _& v, H% A' l/ m: M3 D8 d
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) v9 j: j& W* C* E; C // TODO: add your code here
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7 _2 S$ J5 P0 D /*
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4 j6 h" m4 u5 w9 `3 o- ~/ ^ 1 UF_VEC2_add : 两个向量相加 j6 ]# ]* b4 T7 l, K" K6 j- A
vec1 + vec2 = sumVec
k( ]) b. f1 \$ U* G( ~$ }! Y ======================
z8 y3 r* [: D/ R+ Q% c8 Y */
# S v0 A' Z7 X" L+ n2 A3 g' U lw->Open();
6 V" c0 o( }6 M UF_VEC2_add(vec1,vec2,sumVec);! ~# b# l4 _0 S: B2 T/ 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]);7 E7 C4 r; P* b& B# b0 R
lw->WriteLine(msg);0 N" s6 ~1 v& q* a
3 T. x$ e1 `. k% N /*
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2 UF_VEC2_affine_comb : 仿射变换; X' n, F( j9 x0 ^7 ~1 y
vec_comb = vec1 + scale * vec2;
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
; A* i) x' a, z 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]);( {( k7 X+ `& [6 a, i
lw->WriteLine(msg);
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/*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 , D# I+ ]/ m5 B1 c! G
vec1.vec_perp = 09 Q6 v; ]* U) t0 A
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
9 T9 R! H: q7 L4 s sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);) S+ I, }0 x- t4 b T6 R0 P
lw->WriteLine(msg);9 U4 J& U+ T6 {0 H4 J8 z z# k$ \
4 {, p: J6 w& Q /*
% {' B! e7 ^7 S* m5 A7 f8 g" y+ b ======================) u# x& r( s! ]4 m7 s
4 UF_VEC2_components : 求出垂直的向量 " R2 n% @; Z" q+ v2 {$ u1 n
vec_comb = scale1 vec1 + scale2 vec2% _1 K' y' z6 v3 e
返回: 0 可计算 1 平行
* `4 J$ q" R# u2 C0 X+ p ======================
& S6 [+ M$ w3 T( P */
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0 L5 Y! s) A% L: t5 j3 A int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);0 g$ M1 L+ g ^
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);/ q4 O; r ^" U' ?
lw->WriteLine(msg);
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) e- u% J- D6 w( p& ? /*
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! E2 i9 k: m5 ?3 c0 S 5 UF_VEC2_convex_comb : 计算点在直线上的位置
- C4 j, j% u, r5 v3 r l pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). ' Z, {% ~; B( R y
======================
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
2 e' Z; Z" a+ i# b9 X" D sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
+ J1 a' ~4 Z; D' ]3 s lw->WriteLine(msg);. O+ s S. r( U) _7 ?# K A
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/*
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3 E$ S6 ]+ ?; f! o0 m+ h4 E; g 6 UF_VEC2_copy : 向量拷贝
- y; g8 l- C) g* B5 y. Y+ O vector (vec_dst = vec_src).
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0 s& R' G- ~3 y0 A UF_VEC2_copy(vec_src,vec_dst);% H$ x. s- Z) r( x- j0 d) K
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]);
% j; w* G) |) ? L; T! H* n; K lw->WriteLine(msg);
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/* ! ^0 `( s4 { ]0 p3 r
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7 UF_VEC2_cross : 向量向量积# B; Q \2 v& e% W8 G7 | _
cross_product = vec1 x vec28 J- O* A, b3 w$ Y9 n9 d0 ^3 y' v
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% }8 v7 b, }) E( C# Y UF_VEC2_cross(vec1,vec2,&cross_product);
3 o* m+ G9 z& e/ X sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
5 R& h& ~/ ?4 Z3 L; p G, @; f lw->WriteLine(msg);, s) Z: B6 i6 }) q0 W
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/* ' V' q p, t: E! t! K
======================
/ N- J& G2 ] F" Y: D 8 UF_VEC2_dot : 向量数量积1 Q x9 B+ ?" U7 \# |4 ?4 {
cross_product = vec1 . vec2
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*/
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8 ?1 b( q- V$ z2 f9 _0 \9 [ UF_VEC2_dot(vec1,vec2,&cross_product);
% Q" F6 \& N. \! V; q3 _ sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
4 s; t6 t0 x5 [* m' L# L lw->WriteLine(msg);
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# C+ N: f, B2 ]8 \9 J /* 5 @' C) n/ l$ {$ D
======================
4 T* o8 M ^& `% a3 w5 E* x 9 UF_VEC2_distance : 两点距离6 l( N8 L$ h2 D% k- R1 ?
(distance = ||pnt1 - pnt2||)0 K; R5 G) P" O, U' q; s
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*/
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UF_VEC2_distance(vec1,vec2,&distance);$ x$ v8 W }- x' S
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
. o U% M' }' C: w4 k; s: S c lw->WriteLine(msg);
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+ `& I0 C" N! b0 j8 ` /*
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10 UF_VEC2_is_XX : 判断矢量关系
: Y2 r% T& }2 g 0 = false
9 ^3 K, N" m ^9 {: Z- H$ W# V& S 1 = true
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*/
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等4 G) Y$ }9 b- A4 |1 H1 P' p$ k5 {
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
/ s) h+ F$ w1 G' E' |2 T; h) U UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直* Y' y) }0 \8 e ?* e( }' \
UF_VEC2_is_zero(vec1,tol,&isZero);//为06 l* |4 G6 `# `9 T5 D8 ?7 j2 j6 F8 Z
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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);" E& q: `0 k; @
lw->WriteLine(msg);5 R, t# T8 S; {& u }. T: R
9 w/ @; E2 p1 n! D; |* H+ J8 H /* 1 J" a4 v4 j: n2 x. o1 z1 V0 }
======================
4 @' o6 b- h( r3 Y 11 UF_VEC2_linear_comb : 线形组合
T# Y2 o( |! Y2 }. ]! B. a vec_comb = (scale vec1) + (scale2 vec2)3 v! @9 T3 |. t/ g! j9 l" A- b1 h, u; N
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*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);! B0 j+ M# ]% Q# q- ?$ C
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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]);, L" f/ m c3 k7 ]/ y/ v
lw->WriteLine(msg);
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/* 9 R$ J/ V1 m" M' R' x" F0 e
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12 UF_VEC2_mag : 向量模
5 E Q- A- C+ `0 m4 \; T* @ magnitude = ||vec||) ~( Q$ k* e" X& o4 c; T$ q! a
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*/
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2 M; }( [% |5 g. @: ^8 O. S UF_VEC2_mag(vec1,&magnitude);( Q/ N g9 A- U
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);1 f% [' d2 C+ ]. |+ b8 x6 o
lw->WriteLine(msg);
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/* ( ^5 I G) u9 x7 m/ m* r! ~, @ k
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13 UF_VEC2_midpt : 求中点 ! J9 n) U# O# A- f) r! q; V
mid_pnt = (0.5 pnt1) + (0.5 pnt2)4 p, ~% g& L( v* h
======================5 E: N/ F6 v8 j% q6 e! _& R% s
*/
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b: a- ~- q* l 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]);
8 M D* z" M! H9 A0 e lw->WriteLine(msg);* X! n/ A0 R: \
( C0 y8 W" ~/ {7 S' i /*
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$ q6 T7 o5 I0 [ 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划
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, _* D N: z9 g2 P5 P, t UF_VEC2_negate(vec1,neg_vec);
5 A7 l$ }3 h& }; d& z* Y5 M UF_VEC2_rotate(vec1,2,vec_comb);
. g% p; `$ _" y, b0 x. C+ ^ UF_VEC2_scale(scale,vec1,scale_vec);
- _- A# c- L& J; n UF_VEC2_sub(vec1,vec2,sub_vec);
0 ]. `- ]& D; Y0 M UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);- j ]8 M9 q% I& 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],
/ k6 Y; F" w4 n1 b 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]);; L1 z# v; ] ?% @- D( |
lw->WriteLine(msg);% `, V, i6 C5 g. d
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