Fixed and Arbitrary Precision Numerical Fields - Sage

Sage Reference Manual: Fixed and Arbitrary Precision Numerical Fields, Release 6.2sage: q = RR.pi()/7sage: i = q.sinh() ; i0.464017630492991sage: i.arcsinh() - q0.000000000000000arctan()Return the inverse tangent of self.EXAMPLES:sage: q = RR.pi()/5sage: i = q.tan()sage: i.arctan() == qTruearctanh()Return the hyperbolic inverse tangent of self.EXAMPLES:sage: q = RR.pi()/7sage: i = q.tanh() ; i0.420911241048535sage: i.arctanh() - q0.000000000000000ceil()Return the ceiling of self.EXAMPLES:sage: (2.99).ceil()3sage: (2.00).ceil()2sage: (2.01).ceil()3sage: ceil(10^16 * 1.0)10000000000000000sage: ceil(10^17 * 1.0)100000000000000000sage: ceil(RR(+infinity))Traceback (most recent call last):...ValueError: Calling ceil() on infinity or NaNceiling()Return the ceiling of self.EXAMPLES:sage: (2.99).ceil()3sage: (2.00).ceil()2sage: (2.01).ceil()336 Chapter 2. Arbitrary Precision Real Numbers