21  * \brief Interval arithmetic.
35 Interval applyMonotone(DoubleFunc1 &func, const Interval &arg0)  in applyMonotone()
37     Interval ret;  in applyMonotone()
42 Interval applyMonotone(DoubleIntervalFunc1 &func, const Interval &arg0)  in applyMonotone()
44     return Interval(func(arg0.lo()), func(arg0.hi()));  in applyMonotone()
47 Interval applyMonotone(DoubleFunc2 &func, const Interval &arg0, const Interval &arg1)  in applyMonotone()
49     Interval ret;  in applyMonotone()
56 Interval applyMonotone(DoubleIntervalFunc2 &func, const Interval &arg0, const Interval &arg1)  in applyMonotone()
59 …return Interval(Interval(func(lo0, lo1), func(lo0, hi1)), Interval(func(hi0, lo1), func(hi0, hi1))…  in applyMonotone()
62 Interval operator+(const Interval &x, const Interval &y)  in operator +()
64     Interval ret;  in operator +()
74 Interval operator-(const Interval &x, const Interval &y)  in operator -()
76     Interval ret;  in operator -()
82 Interval operator*(const Interval &x, const Interval &y)  in operator *()
84     Interval ret;  in operator *()
90 Interval operator/(const Interval &nom, const Interval &den)  in operator /()
96         return Interval::unbounded();  in operator /()
100         Interval ret;  in operator /()
112 Interval operator-(const Interval &x)  in operator -()
117 Interval exp2(const Interval &x)  in exp2()
122 Interval exp(const Interval &x)  in exp()
127 Interval sqrt(const Interval &x)  in sqrt()
132 Interval inverseSqrt(const Interval &x)  in inverseSqrt()
137 Interval abs(const Interval &x)  in abs()
139     const Interval mono = applyMonotone(std::abs, x);  in abs()
142         return Interval(0.0, mono);  in abs()
147 std::ostream &operator<<(std::ostream &os, const Interval &interval)  in operator <<()  argument
149     if (interval.empty())  in operator <<()
150         if (interval.hasNaN())  in operator <<()
155 …      os << (interval.hasNaN() ? "~" : "") << "[" << interval.lo() << ", " << interval.hi() << "]";  in operator <<()