Laboratoire de l'Informatique et du Parallélisme » Pobyso

#! /opt/sage/sage

# @file runSLZ-05.sage

#from scipy.constants.codata import precision

def initialize_env():

    """

    Load all necessary modules.

    """

    if not 'mpfi' in sage.misc.cython.standard_libs:

        sage.misc.cython.standard_libs.append('mpfi')

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/sollya_lib.sage")

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/sageMpfr.spyx")

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/pobyso.py")

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/sageSLZ/sageSLZ.sage")

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/sageSLZ/sageNumericalOperations.sage")

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/sageSLZ/sageRationalOperations.sage")

    # Matrix operations are loaded by polynomial operations.

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/sageSLZ/sagePolynomialOperations.sage")

    load("/home/storres/recherche/arithmetique/pobysoPythonSage/src/sageSLZ/sageRunSLZ.sage")

print "Running SLZ..."

initialize_env()

x = var('x')

func(x) = exp(x)

precision = 113

RRR = RealField(precision)

intervalCenter      = RRR(3/8)

icUlp               = intervalCenter.ulp()

#intervalRadiusInUlp = 2^49 + 2^45

intervalRadius      = RRR(2^(-27))

srs_run_SLZ_v05(inputFunction           = func,

                inputLowerBound         = intervalCenter - intervalRadius,

                inputUpperBound         = intervalCenter + intervalRadius,

                alpha                   = 8,

                degree                  = 29,

                precision               = precision,

                emin                    = -16382,

                emax                    = 16383,

                targetHardnessToRound   = precision * 8,

                debug                   = False)

#

"""

srs_run_SLZ_v01(inputFunction=func,

                inputLowerBound = intervalCenter - icUlp * intervalRadiusInUlp,

                inputUpperBound = intervalCenter + icUlp * intervalRadiusInUlp,

                alpha           = 2,

                degree          = 2,

                precision       = 53,

                emin            = -1022,

                emax            = 1023,

                targetHardnessToRound =  precision+50,

                debug           = True)

"""

"""

srs_run_SLZ_v01(inputFunction=func,

                inputLowerBound = 402653184/1073741824,

                inputUpperBound = 402653185/1073741824,

                alpha = 2,

                degree = 10,

                precision = 53,

                emin = -1022,

                emax = 1023,

                targetHardnessToRound =  precision+50,

                debug = True)

#inputUpperBound = RRR(1/2) - RRR(1/4).ulp(),

RR("1.9E9CBBFD6080B",16)  * 2^-31]

"""