Laboratoire de l'Informatique et du Parallélisme » Pobyso

#! /opt/sage/sage

# @file runSLZ-03.sage

#

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 = 53

RRR = RealField(precision)

intervalCenter      = RRR("1.9E9CBBFD6080B",16)  * 2^-31

icUlp               = intervalCenter.ulp()

intervalRadiusInUlp = 2^50

#intervalRadiusInUlp = 2^49 + 2^45

srs_run_SLZ_v02(inputFunction=func,

                inputLowerBound = intervalCenter - icUlp * (intervalRadiusInUlp+128),

                inputUpperBound = intervalCenter + icUlp * (intervalRadiusInUlp+128),

                alpha           = 2,

                degree          = 2,

                precision       = 53,

                emin            = -1022,

                emax            = 1023,

                targetHardnessToRound =  precision+50,

                debug           = True)

#

"""

srs_run_SLZ_v02(inputFunction=func,

                inputLowerBound = RRR(1) * 2^-31,

                inputUpperBound = RRR(1) * 2^-30 - icUlp,

                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]

"""