[sage-support] Arbitrary precision in cython
Hi, as a followup on the Arbitrary precision in cython thread, I'd like to mention that one can directly use mpfr's implementation from within Sage: sage: RealField(150)(10).eint() 2492.2289762418777591384401439985248489896471 It only works for real numbers, but has the advantage to guarantee correct rounding (for the 150-bit binary result; if you are using the decimal result above, you have to take into account the binary-decimal conversion error, which is at most 1/2 ulp). Paul Zimmermann --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Arbitrary precision in cython
Thanks Paul, that is very helpful; it means that all the discussion of conversion to and from pari is redundant. John 2008/12/23 Paul Zimmermann paul.zimmerm...@loria.fr: Hi, as a followup on the Arbitrary precision in cython thread, I'd like to mention that one can directly use mpfr's implementation from within Sage: sage: RealField(150)(10).eint() 2492.2289762418777591384401439985248489896471 It only works for real numbers, but has the advantage to guarantee correct rounding (for the 150-bit binary result; if you are using the decimal result above, you have to take into account the binary-decimal conversion error, which is at most 1/2 ulp). Paul Zimmermann --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Arbitrary precision in cython
Paul Zimmermann wrote: Hi, as a followup on the Arbitrary precision in cython thread, I'd like to mention that one can directly use mpfr's implementation from within Sage: sage: RealField(150)(10).eint() 2492.2289762418777591384401439985248489896471 It only works for real numbers, but has the advantage to guarantee correct rounding (for the 150-bit binary result; if you are using the decimal result above, you have to take into account the binary-decimal conversion error, which is at most 1/2 ulp). Just a note: sage: pari(RealField(500)(10)).eint1().python() 4.15696892968532427740285981027818038434629008241953313262759569712786222819608803586147163177527802101305497591041862309918139192016097135380721447598904e-6 sage: RealField(500)(10).eint() 2492.22897624187775913844014399852484898964710143094234538818526713774122742888744417794599665663156560488342454657568480015672868779475213684965774390 sage: sage: pari(RealField(500)(-10)).eint1().python() -2492.22897624187775913844014399852484898964710143094234538818526713774122742888744417794599665663156560488342454657568480015672868779475213684965774390402 sage: RealField(500)(-10).eint() NaN Jason --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] about knowledge of other packages for usage of sage
Hi I am new to sage and hence, not very familiar. However, while going through the documentation, I saw some examples of usage of functions that are provided by other packages like maxima, octave etc. I am bit confused, about whether I have to know all those packages before being able to use sage to its full advantage, or is it the case that, sage automatically chooses one of these packages (maxima etc.) and solves the required problem. And if this is the case, how do I know which package has been selected for execution. Thanking you. --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Convert a SymbolicEquation into a MaximaElement
Hi,
Is it possible to convert a SymbolicEquation into a MaximaElement
easily? The opposite to: -
maxima('x^2 + y^2 = 0').sage()
Something like this: -
x, y = var('x y')
b = x^2 + y^2 == 0
b.maxima()
I would like to do some manipulations on an equation by breaking it
down into terms and parts.
Thanks
Blair
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[sage-support] Re: Convert a SymbolicEquation into a MaximaElement
2008/12/23 bsdz blai...@googlemail.com:
Hi,
Is it possible to convert a SymbolicEquation into a MaximaElement
easily? The opposite to: -
maxima('x^2 + y^2 = 0').sage()
Something like this: -
x, y = var('x y')
b = x^2 + y^2 == 0
b.maxima()
Is this what you need?
sage: eqn = maxima(x^2 + y^2 = 0)
sage: eqn.lhs()
y^2+x^2
sage: eqn.rhs()
0
eqn.tab offers 2160 possible ways to go...!
John Cremona
I would like to do some manipulations on an equation by breaking it
down into terms and parts.
Thanks
Blair
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[sage-support] Re: Convert a SymbolicEquation into a MaximaElement
Hi Blair,
On Tue, Dec 23, 2008 at 7:43 AM, bsdz blai...@googlemail.com wrote:
Hi,
Is it possible to convert a SymbolicEquation into a MaximaElement
easily? The opposite to: -
maxima('x^2 + y^2 = 0').sage()
Something like this: -
x, y = var('x y')
b = x^2 + y^2 == 0
b.maxima()
I think this is what you're after:
sage: x, y = var('x y')
sage: b = x^2 + y^2 == 0
sage: maxima(b)
y^2+x^2=0
sage: type(_)
class 'sage.interfaces.maxima.MaximaElement'
Note that maxima(b) works by (eventually) calling b._maxima_()
sage: b._maxima_()
y^2+x^2=0
--Mike
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