About Sage and floating-point numbers, if I remember correctly, - IEEE 754 is not a complete specification, some details are left up to the implementation and therefore IEEE 754 compliant computations can vary from machine to machine (depending on processor or OS) - in Sage, `RDF` and `float` use machine floats and so follow IEEE 754 - by contrast RR and RealField are specified more tightly so as to give the same computations on any machine - the range of exponents in RR is a lot wider than in RDF - RDF is a lot faster than RR
Two excellent sources on real and floating-point numbers in Sage - The many ways of computing with real numbers Talk by Vincent Delecroix at Sage Days 88 in IMA, U Minnesota, 2017 https://www.ima.umn.edu/2017-2018.2/W8.21-25.17/26308 - What are the different real numbers in Sage https://ask.sagemath.org/question/9950 Related Sage Trac tickets - Deprecate is_RealField / is_RealNumber https://trac.sagemath.org/ticket/24525 - rename RealField/RealNumber https://trac.sagemath.org/ticket/24524 - Modernize sage.rings.real_mpfr https://trac.sagemath.org/ticket/24457 - Thematic tutorial about real and complex numbers in Sage https://trac.sagemath.org/ticket/15944 - Deprecate global RealNumber() and ComplexNumber() https://trac.sagemath.org/ticket/13110 -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/2a5d36b8-ad1c-4f6e-be19-d39f29d63b80%40googlegroups.com.
