#define INTERVAL_HH
#include <assert.h>
-#include "fproto.hh"
+#include "flower-proto.hh"
#include "real.hh"
+#include "drul-array.hh"
-
-/** a T interval.
- this represents the closed interval [left,right].
- No invariants. T must be a totally ordered ring
+/** a T interval. this represents the closed interval [left,right].
+ No invariants. T must be a totally ordered ring (with division, anyway ..)
+ At instantiation, the function infinity () has to be defined explicitely.
+
*/
template<class T>
-struct Interval_t {
- T left, right;
+struct Interval_t : public Drul_array<T> {
- /* ************** */
+ /* ************** */
- T center() { return (left + right) / T(2);}
- void translate(T t) {
- left += t;
- right += t;
- }
- T& idx(int j) {
- if (j==-1)
- return left;
- else if (j==1)
- return right;
- else
- assert(false);
- return left;
- }
- T& operator[](int j) {
- return idx(j);
- }
- T operator[](int j) const {
- return ((Interval_t<T> *)this)->idx(j);
+ static T infinity () ;
+ static String T_to_str (T arg);
+ T center () { return (elem (LEFT) + elem (RIGHT)) / T (2);}
+ void translate (T t)
+ {
+ elem (LEFT) += t;
+ elem (RIGHT) += t;
}
- T &max() { return right;}
- T max()const { return right;}
- T min()const{ return left; }
- T &min(){ return left; }
- /**
- PRE
- *this and h are comparable
- */
- void unite(Interval_t<T> h);
- void intersect(Interval_t<T> h);
-
- T length() const;
- void set_empty() ;
- bool empty() const { return left > right; }
- Interval_t() {
- set_empty();
- }
- Interval_t(T m, T M) {
- left =m;
- right = M;
- }
- Interval_t<T> &operator += (T r) {
- left += r;
- right +=r;
- return *this;
- }
- String str() const;
- bool elt_q(T r);
+
+ /**
+ PRE
+ *this and h are comparable
+ */
+ void unite (Interval_t<T> h);
+ void intersect (Interval_t<T> h);
+
+ T length () const;
+ void set_empty () ;
+ bool empty_b () const { return elem (LEFT) > elem (RIGHT); }
+ bool contains_b (Interval_t<T> const&) const;
+ Interval_t () {
+ set_empty ();
+ }
+ Interval_t (T m, T M) : Drul_array<T> (m,M)
+ {}
+ Interval_t<T> &operator -= (T r) {
+ *this += -r;
+ return *this;
+ }
+
+ Interval_t<T> &operator += (T r) {
+ elem (LEFT) += r;
+ elem (RIGHT) +=r;
+ return *this;
+ }
+ Interval_t<T> &operator *= (T r) {
+ if (!empty_b ())
+ {
+ elem (LEFT) *= r;
+ elem (RIGHT) *= r;
+ if (r < T (0)) {
+ T t = elem (LEFT);
+ elem (LEFT) = elem (RIGHT);
+ elem (RIGHT) = t;
+ }
+ }
+ return *this;
+ }
+
+ Real linear_combination (Real x) const {
+ return ((1.0 - x) * Real (elem (LEFT)) + (x + 1.0) * Real (elem (RIGHT))) * 0.5;
+ }
+ String str () const;
+ void print () const;
+ bool elem_b (T r);
+ void negate () {
+ T r = -elem (LEFT);
+ T l = -elem (RIGHT);
+ elem (LEFT) = l;
+ elem (RIGHT) =r;
+ }
};
/**
- inclusion ordering. Crash if not comparable.
+ inclusion ordering. Crash if not comparable.
*/
template<class T>
-int Interval__compare(const Interval_t<T>&,Interval_t<T> const&);
+int Interval__compare (const Interval_t<T>&,Interval_t<T> const&);
+
+/**
+ Inclusion ordering. return -2 if not comparable
+ */
+template<class T>
+int
+_Interval__compare (const Interval_t<T>&a,Interval_t<T> const&b);
+
/*
INLINE
#include "compare.hh"
-template_instantiate_compare(Interval_t<T>&, Interval__compare, template<class T>);
+TEMPLATE_INSTANTIATE_COMPARE (Interval_t<T>&, Interval__compare, template<class T>);
template<class T>
inline Interval_t<T>
-intersection(Interval_t<T> a, Interval_t<T> const&b)
+intersection (Interval_t<T> a, Interval_t<T> const&b)
{
- a.intersect(b);
- return a;
+ a.intersect (b);
+ return a;
}
-
template<class T>
inline
-Interval_t<T> operator +(T a,Interval_t<T> i )
+Interval_t<T> operator + (T a,Interval_t<T> i)
{
- i += a;
- return i;
+ i += a;
+ return i;
}
template<class T>
inline
-Interval_t<T> operator +(Interval_t<T> i,T a ){
- return a+i;
+Interval_t<T> operator - (Interval_t<T> i, T a)
+{
+ i += -a;
+ return i;
}
-typedef Interval_t<Real> Interval;
+template<class T>
+inline
+Interval_t<T> operator - (T a,Interval_t<T> i)
+{
+ i.negate ();
+ i += a;
+ return i;
+}
+template<class T>
+inline
+Interval_t<T> operator + (Interval_t<T> i,T a){
+ return a+i;
+}
-#define Interval__instantiate(T) template struct Interval_t<T>;\
- template int Interval__compare(const Interval_t<T>&,Interval_t<T> const&)
+template<class T>
+inline
+Interval_t<T> operator * (T a,Interval_t<T> i)
+{
+ i *= a;
+ return i;
+}
+template<class T>
+inline
+Interval_t<T> operator * (Interval_t<T> i,T a){
+ return a*i;
+}
-#endif // INTERVAL_HH
+// again? see flower-proto.hh
+typedef Interval_t<Real> Interval;
+typedef Interval_t<int> Slice; // weird name
+#endif // INTERVAL_HH