1f220fa62Smrg/*
2f220fa62Smrg** License Applicability. Except to the extent portions of this file are
3f220fa62Smrg** made subject to an alternative license as permitted in the SGI Free
4f220fa62Smrg** Software License B, Version 1.1 (the "License"), the contents of this
5f220fa62Smrg** file are subject only to the provisions of the License. You may not use
6f220fa62Smrg** this file except in compliance with the License. You may obtain a copy
7f220fa62Smrg** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
8f220fa62Smrg** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
9f220fa62Smrg**
10f220fa62Smrg** http://oss.sgi.com/projects/FreeB
11f220fa62Smrg**
12f220fa62Smrg** Note that, as provided in the License, the Software is distributed on an
13f220fa62Smrg** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
14f220fa62Smrg** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
15f220fa62Smrg** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
16f220fa62Smrg** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
17f220fa62Smrg**
18f220fa62Smrg** Original Code. The Original Code is: OpenGL Sample Implementation,
19f220fa62Smrg** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
20f220fa62Smrg** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
21f220fa62Smrg** Copyright in any portions created by third parties is as indicated
22f220fa62Smrg** elsewhere herein. All Rights Reserved.
23f220fa62Smrg**
24f220fa62Smrg** Additional Notice Provisions: The application programming interfaces
25f220fa62Smrg** established by SGI in conjunction with the Original Code are The
26f220fa62Smrg** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
27f220fa62Smrg** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
28f220fa62Smrg** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
29f220fa62Smrg** Window System(R) (Version 1.3), released October 19, 1998. This software
30f220fa62Smrg** was created using the OpenGL(R) version 1.2.1 Sample Implementation
31f220fa62Smrg** published by SGI, but has not been independently verified as being
32f220fa62Smrg** compliant with the OpenGL(R) version 1.2.1 Specification.
33f220fa62Smrg**
34f220fa62Smrg*/
35f220fa62Smrg/*
36f220fa62Smrg*/
37f220fa62Smrg
38f220fa62Smrg#include <stdlib.h>
39f220fa62Smrg#include <stdio.h>
40f220fa62Smrg
41f220fa62Smrg#include "polyUtil.h"
42f220fa62Smrg
43f220fa62SmrgReal area(Real A[2], Real B[2], Real C[2])
44f220fa62Smrg{
45f220fa62Smrg  Real Bx, By, Cx, Cy;
46f220fa62Smrg  Bx = B[0] - A[0];
47f220fa62Smrg  By = B[1] - A[1];
48f220fa62Smrg  Cx = C[0] - A[0];
49f220fa62Smrg  Cy = C[1] - A[1];
50f220fa62Smrg  return Bx*Cy - Cx*By;
51f220fa62Smrg
52f220fa62Smrg/*  return (B[0]-A[0])*(C[1]-A[1]) - (C[0]-A[0])*(B[1]-A[1]);*/
53f220fa62Smrg}
54f220fa62Smrg
55f220fa62Smrg/*given a directed line A->B, and a point P,
56f220fa62Smrg *determine whether P is to the left of AB.
57f220fa62Smrg *the line A->B (imagine it has beedn extended both
58f220fa62Smrg *end to the infinity) divides the plan into two
59f220fa62Smrg *half planes. When we walk from A to B, one
60f220fa62Smrg *half is to the left and the other half is to the right.
61f220fa62Smrg *return 1 if P is to the left.
62f220fa62Smrg *if P is on AB, 0 is returned.
63f220fa62Smrg */
64f220fa62SmrgInt pointLeftLine(Real A[2], Real B[2],  Real P[2])
65f220fa62Smrg{
66f220fa62Smrg  if(area(A, B, P) >0) return 1;
67f220fa62Smrg  else return 0;
68f220fa62Smrg}
69f220fa62Smrg
70f220fa62Smrg/*given two directed line: A -> B -> C, and another point P.
71f220fa62Smrg *determine whether P is to the left hand side of A->B->C.
72f220fa62Smrg *Think of BA and BC extended as two rays. So that the plane is
73f220fa62Smrg * divided into two parts. One part is to the left we  walk from A
74f220fa62Smrg *to B and to C, the other part is to the right.
75f220fa62Smrg * In order for P to be the left, P must be either to the left
76f220fa62Smrg *of
77f220fa62Smrg */
78f220fa62SmrgInt pointLeft2Lines(Real A[2], Real B[2], Real C[2], Real P[2])
79f220fa62Smrg{
80f220fa62Smrg  Int C_left_AB = (area(A, B, C)>0);
81f220fa62Smrg  Int P_left_AB = (area(A, B, P)>0);
82f220fa62Smrg  Int P_left_BC = (area(B, C, P)>0);
83f220fa62Smrg
84f220fa62Smrg  if(C_left_AB)
85f220fa62Smrg    {
86f220fa62Smrg      return (P_left_AB && P_left_BC);
87f220fa62Smrg    }
88f220fa62Smrg  else
89f220fa62Smrg    return  (P_left_AB || P_left_BC);
90f220fa62Smrg}
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