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+/* 
+ * pairs.h -- ePiX pair:: class and mathematical operators
+ *
+ * This file is part of ePiX, a C++ library for creating high-quality 
+ * figures in LaTeX 
+ *
+ * Version 1.1.10
+ * Last Change: August 04, 2007
+ */
+
+/* 
+ * Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007
+ * Andrew D. Hwang <rot 13 nujnat at zngupf dot ubylpebff dot rqh>
+ * Department of Mathematics and Computer Science
+ * College of the Holy Cross
+ * Worcester, MA, 01610-2395, USA
+ */
+
+/*
+ * ePiX is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * ePiX is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
+ * License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with ePiX; if not, write to the Free Software Foundation, Inc.,
+ * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ */
+
+#ifndef EPIX_PAIRS
+#define EPIX_PAIRS
+
+namespace ePiX {
+
+  class P;
+
+  class pair {
+  public:
+    pair(double arg1=0, double arg2=0)
+      : m_x1(arg1), m_x2(arg2) { }
+
+    pair(const P& arg); // take first two coordinates
+
+    double x1() const { return m_x1; }
+    double x2() const { return m_x2; }
+
+    // unary increment operators
+    pair& operator += (const pair& arg);
+    pair& operator -= (const pair& arg);
+    pair& operator *= (double c);
+
+    // complex multiplication and division
+    pair& operator *= (const pair& arg);
+    pair& operator /= (const pair& arg);
+    bool operator== (const pair& u) const;
+    bool operator!= (const pair& u) const;
+
+  private:
+    double m_x1;
+    double m_x2;
+
+  }; // end of class pair
+  
+  pair operator- (pair u);
+  pair operator+ (pair u, const pair& v);
+  pair operator- (pair u, const pair& v);
+  pair operator* (double c, pair u);
+
+  // complex arithmetic
+  pair J(pair p);
+  pair operator* (pair u, const pair& v);
+  pair operator/ (pair u, const pair& v);
+
+  // dot product
+  double operator| (const pair& u, const pair& v);
+  double norm (const pair& u);
+
+  // componentwise product (a,b)&(x,y)=(ax,by)
+  pair operator& (const pair& u, const pair& v);
+
+} // end of namespace
+
+#endif /* EPIX_PAIRS */