Package org.sosy_lab.java_smt.delegate.debugging

Class DebuggingFloatingPointFormulaManager

java.lang.Object

org.sosy_lab.java_smt.delegate.debugging.DebuggingFloatingPointFormulaManager

All Implemented Interfaces:

FloatingPointFormulaManager

public class DebuggingFloatingPointFormulaManager
extends Object
implements FloatingPointFormulaManager

Method Summary

Modifier and Type	Method	Description
FloatingPointFormula	abs(FloatingPointFormula number)
FloatingPointFormula	add(FloatingPointFormula number1, FloatingPointFormula number2)
FloatingPointFormula	add(FloatingPointFormula number1, FloatingPointFormula number2, FloatingPointRoundingMode pFloatingPointRoundingMode)
BooleanFormula	assignment(FloatingPointFormula number1, FloatingPointFormula number2)	Create a term for assigning one floating-point term to another.
FloatingPointFormula	castFrom(Formula source, boolean signed, FormulaType.FloatingPointType targetType)	Build a FloatingPointFormula from another compatible formula.
FloatingPointFormula	castFrom(Formula source, boolean signed, FormulaType.FloatingPointType targetType, FloatingPointRoundingMode pFloatingPointRoundingMode)	Build a FloatingPointFormula from another compatible formula.
<T extends Formula> T	castTo(FloatingPointFormula source, boolean signed, FormulaType<T> targetType)	Build a formula of compatible type from a FloatingPointFormula.
<T extends Formula> T	castTo(FloatingPointFormula source, boolean signed, FormulaType<T> targetType, FloatingPointRoundingMode pFloatingPointRoundingMode)	Build a formula of compatible type from a FloatingPointFormula.
FloatingPointFormula	divide(FloatingPointFormula number1, FloatingPointFormula number2)
FloatingPointFormula	divide(FloatingPointFormula number1, FloatingPointFormula number2, FloatingPointRoundingMode pFloatingPointRoundingMode)
BooleanFormula	equalWithFPSemantics(FloatingPointFormula number1, FloatingPointFormula number2)	Create a term for comparing the equality of two floating-point terms, according to standard floating-point semantics (i.e., NaN != NaN and 0.0 == -0.0).
FloatingPointFormula	fromIeeeBitvector(BitvectorFormula number, FormulaType.FloatingPointType pTargetType)	Create a formula that interprets the given bitvector as a floating-point value in the IEEE format, according to the given type.
FloatingPointRoundingMode	fromRoundingModeFormula(FloatingPointRoundingModeFormula pRoundingModeFormula)	Converts a rounding mode formula to the corresponding enum value.
BooleanFormula	greaterOrEquals(FloatingPointFormula number1, FloatingPointFormula number2)	Returns whether an FP number is greater or equal than another FP number.
BooleanFormula	greaterThan(FloatingPointFormula number1, FloatingPointFormula number2)	Returns whether an FP number is greater than another FP number.
BooleanFormula	isInfinity(FloatingPointFormula number)	Checks whether a formula is positive or negative infinity.
BooleanFormula	isNaN(FloatingPointFormula number)	Check whether a floating-point number is NaN.
BooleanFormula	isNegative(FloatingPointFormula number)	Checks whether a formula is negative, including -0.0.
BooleanFormula	isNormal(FloatingPointFormula number)	Checks whether a formula is normal FP number.
BooleanFormula	isSubnormal(FloatingPointFormula number)	Checks whether a formula is subnormal FP number.
BooleanFormula	isZero(FloatingPointFormula number)	Checks whether a formula is positive or negative zero.
BooleanFormula	lessOrEquals(FloatingPointFormula number1, FloatingPointFormula number2)	Returns whether an FP number is less or equal than another FP number.
BooleanFormula	lessThan(FloatingPointFormula number1, FloatingPointFormula number2)	Returns whether an FP number is less than another FP number.
FloatingPointFormula	makeMinusInfinity(FormulaType.FloatingPointType type)
FloatingPointFormula	makeNaN(FormulaType.FloatingPointType type)
FloatingPointFormula	makeNumber(double n, FormulaType.FloatingPointType type)	Creates a floating point formula representing the given double value with the specified type.
FloatingPointFormula	makeNumber(double n, FormulaType.FloatingPointType type, FloatingPointRoundingMode pFloatingPointRoundingMode)	Creates a floating point formula representing the given double value with the specified type and rounding mode.
FloatingPointFormula	makeNumber(String n, FormulaType.FloatingPointType type)	Creates a floating point formula representing the given string value with the specified type.
FloatingPointFormula	makeNumber(String n, FormulaType.FloatingPointType type, FloatingPointRoundingMode pFloatingPointRoundingMode)	Creates a floating point formula representing the given string value with the specified type and rounding mode.
FloatingPointFormula	makeNumber(BigDecimal n, FormulaType.FloatingPointType type)	Creates a floating point formula representing the given BigDecimal value with the specified type.
FloatingPointFormula	makeNumber(BigDecimal n, FormulaType.FloatingPointType type, FloatingPointRoundingMode pFloatingPointRoundingMode)	Creates a floating point formula representing the given BigDecimal value with the specified type and rounding mode.
FloatingPointFormula	makeNumber(BigInteger exponent, BigInteger mantissa, FloatingPointNumber.Sign sign, FormulaType.FloatingPointType type)	Creates a floating point formula from the given exponent, mantissa, and sign with the specified type.
FloatingPointFormula	makeNumber(Rational n, FormulaType.FloatingPointType type)	Creates a floating point formula representing the given Rational value with the specified type.
FloatingPointFormula	makeNumber(Rational n, FormulaType.FloatingPointType type, FloatingPointRoundingMode pFloatingPointRoundingMode)	Creates a floating point formula representing the given Rational value with the specified type and rounding mode.
FloatingPointFormula	makePlusInfinity(FormulaType.FloatingPointType type)
FloatingPointRoundingModeFormula	makeRoundingMode(FloatingPointRoundingMode pRoundingMode)	Creates a formula for the given floating point rounding mode.
FloatingPointFormula	makeVariable(String pVar, FormulaType.FloatingPointType type)	Creates a variable with exactly the given name.
FloatingPointFormula	max(FloatingPointFormula number1, FloatingPointFormula number2)	Returns the maximum value of the two given floating-point numbers.
FloatingPointFormula	min(FloatingPointFormula number1, FloatingPointFormula number2)	Returns the minimum value of the two given floating-point numbers.
FloatingPointFormula	multiply(FloatingPointFormula number1, FloatingPointFormula number2)
FloatingPointFormula	multiply(FloatingPointFormula number1, FloatingPointFormula number2, FloatingPointRoundingMode pFloatingPointRoundingMode)
FloatingPointFormula	negate(FloatingPointFormula number)
FloatingPointFormula	remainder(FloatingPointFormula dividend, FloatingPointFormula divisor)	remainder: x - y * n, where n in Z is nearest to x/y.
FloatingPointFormula	round(FloatingPointFormula formula, FloatingPointRoundingMode roundingMode)
FloatingPointFormula	sqrt(FloatingPointFormula number)
FloatingPointFormula	sqrt(FloatingPointFormula number, FloatingPointRoundingMode roundingMode)
FloatingPointFormula	subtract(FloatingPointFormula number1, FloatingPointFormula number2)
FloatingPointFormula	subtract(FloatingPointFormula number1, FloatingPointFormula number2, FloatingPointRoundingMode pFloatingPointRoundingMode)
BitvectorFormula	toIeeeBitvector(FloatingPointFormula number)	Create a formula that produces a representation of the given floating-point value as a bitvector conforming to the IEEE 754-2008 FP format.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.sosy_lab.java_smt.api.FloatingPointFormulaManager

castTo, castTo, makeNumber, makeNumber

Method Detail

makeRoundingMode

public FloatingPointRoundingModeFormula makeRoundingMode(FloatingPointRoundingMode pRoundingMode)

Description copied from interface: FloatingPointFormulaManager

Creates a formula for the given floating point rounding mode.

Specified by:

makeRoundingMode in interface FloatingPointFormulaManager

fromRoundingModeFormula

public FloatingPointRoundingMode fromRoundingModeFormula(FloatingPointRoundingModeFormula pRoundingModeFormula)

Description copied from interface: FloatingPointFormulaManager

Converts a rounding mode formula to the corresponding enum value. This method is the inverse of FloatingPointFormulaManager.makeRoundingMode(FloatingPointRoundingMode).

Specified by:

fromRoundingModeFormula in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(double n,
                                       FormulaType.FloatingPointType type)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given double value with the specified type.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(double n,
                                       FormulaType.FloatingPointType type,
                                       FloatingPointRoundingMode pFloatingPointRoundingMode)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given double value with the specified type and rounding mode.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(BigDecimal n,
                                       FormulaType.FloatingPointType type)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given BigDecimal value with the specified type.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(BigDecimal n,
                                       FormulaType.FloatingPointType type,
                                       FloatingPointRoundingMode pFloatingPointRoundingMode)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given BigDecimal value with the specified type and rounding mode.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(String n,
                                       FormulaType.FloatingPointType type)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given string value with the specified type.

The string can be any valid floating-point number, e.g., "1.0", "1.0e-3", but also special values like "NaN", "Infinity", or "-0.0", etc. A leading "+" sign or "-" sign is allowed.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(String n,
                                       FormulaType.FloatingPointType type,
                                       FloatingPointRoundingMode pFloatingPointRoundingMode)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given string value with the specified type and rounding mode.

The string can be any valid floating-point number, e.g., "1.0", "1.0e-3", but also special values like "NaN", "Infinity", or "-0.0", etc. A leading "+" sign or "-" sign is allowed.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(Rational n,
                                       FormulaType.FloatingPointType type)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given Rational value with the specified type.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(Rational n,
                                       FormulaType.FloatingPointType type,
                                       FloatingPointRoundingMode pFloatingPointRoundingMode)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula representing the given Rational value with the specified type and rounding mode.

Specified by:

makeNumber in interface FloatingPointFormulaManager

makeNumber

public FloatingPointFormula makeNumber(BigInteger exponent,
                                       BigInteger mantissa,
                                       FloatingPointNumber.Sign sign,
                                       FormulaType.FloatingPointType type)

Description copied from interface: FloatingPointFormulaManager

Creates a floating point formula from the given exponent, mantissa, and sign with the specified type.

Specified by:

makeNumber in interface FloatingPointFormulaManager

Parameters:

exponent - the exponent part of the floating point number

mantissa - the mantissa part of the floating point number

sign - the sign of the floating point number

makeVariable

public FloatingPointFormula makeVariable(String pVar,
                                         FormulaType.FloatingPointType type)

Description copied from interface: FloatingPointFormulaManager

Creates a variable with exactly the given name.

Please make sure that the given name is valid in SMT-LIB2. Take a look at FormulaManager.isValidName(java.lang.String) for further information.

This method does not quote or unquote the given name, but uses the plain name "AS IS". Formula.toString() can return a different String than the given one.

Specified by:

makeVariable in interface FloatingPointFormulaManager

makePlusInfinity

public FloatingPointFormula makePlusInfinity(FormulaType.FloatingPointType type)

Specified by:

makePlusInfinity in interface FloatingPointFormulaManager

makeMinusInfinity

public FloatingPointFormula makeMinusInfinity(FormulaType.FloatingPointType type)

Specified by:

makeMinusInfinity in interface FloatingPointFormulaManager

makeNaN

public FloatingPointFormula makeNaN(FormulaType.FloatingPointType type)

Specified by:

makeNaN in interface FloatingPointFormulaManager

castTo

public <T extends Formula> T castTo(FloatingPointFormula source,
                                    boolean signed,
                                    FormulaType<T> targetType)

Description copied from interface: FloatingPointFormulaManager

Build a formula of compatible type from a FloatingPointFormula. This method uses the default rounding mode.

Compatible formula types are all numeral types and (signed/unsigned) bitvector types. It is also possible to cast a floating-point number into another floating-point type. We do not support casting from boolean or array types. We try to keep an exact representation, however fall back to rounding if needed.

Specified by:

castTo in interface FloatingPointFormulaManager

Parameters:

source - the source formula of floating-point type

signed - if a BitvectorFormula is given as target, we additionally use this flag. Otherwise, we ignore it.

targetType - the type of the resulting formula

castTo

public <T extends Formula> T castTo(FloatingPointFormula source,
                                    boolean signed,
                                    FormulaType<T> targetType,
                                    FloatingPointRoundingMode pFloatingPointRoundingMode)

Description copied from interface: FloatingPointFormulaManager

Build a formula of compatible type from a FloatingPointFormula.

Compatible formula types are all numeral types and (signed/unsigned) bitvector types. It is also possible to cast a floating-point number into another floating-point type. We do not support casting from boolean or array types. We try to keep an exact representation, however fall back to rounding if needed.

Specified by:

castTo in interface FloatingPointFormulaManager

Parameters:

source - the source formula of floating-point type

signed - if a BitvectorFormula is given as target, we additionally use this flag. Otherwise, we ignore it.

targetType - the type of the resulting formula

pFloatingPointRoundingMode - if rounding is needed, we apply the rounding mode.

castFrom

public FloatingPointFormula castFrom(Formula source,
                                     boolean signed,
                                     FormulaType.FloatingPointType targetType)

Description copied from interface: FloatingPointFormulaManager

Build a FloatingPointFormula from another compatible formula. This method uses the default rounding mode.

Compatible formula types are all numeral types and (signed/unsigned) bitvector types. It is also possible to cast a floating-point number into another floating-point type. We do not support casting from boolean or array types. We try to keep an exact representation, however fall back to rounding if needed.

Specified by:

castFrom in interface FloatingPointFormulaManager

Parameters:

source - the source formula of compatible type

signed - if a BitvectorFormula is given as source, we additionally use this flag. Otherwise, we ignore it.

targetType - the type of the resulting formula

castFrom

public FloatingPointFormula castFrom(Formula source,
                                     boolean signed,
                                     FormulaType.FloatingPointType targetType,
                                     FloatingPointRoundingMode pFloatingPointRoundingMode)

Description copied from interface: FloatingPointFormulaManager

Build a FloatingPointFormula from another compatible formula.

Compatible formula types are all numeral types and (signed/unsigned) bitvector types. It is also possible to cast a floating-point number into another floating-point type. We do not support casting from boolean or array types. We try to keep an exact representation, however fall back to rounding if needed.

Specified by:

castFrom in interface FloatingPointFormulaManager

Parameters:

source - the source formula of compatible type

signed - if a BitvectorFormula is given as source, we additionally use this flag. Otherwise, we ignore it.

targetType - the type of the resulting formula

pFloatingPointRoundingMode - if rounding is needed, we apply the rounding mode.

fromIeeeBitvector

public FloatingPointFormula fromIeeeBitvector(BitvectorFormula number,
                                              FormulaType.FloatingPointType pTargetType)

Description copied from interface: FloatingPointFormulaManager

Create a formula that interprets the given bitvector as a floating-point value in the IEEE format, according to the given type. The sum of the sizes of exponent and mantissa (including the hidden bit) of the target type needs to be equal to the size of the bitvector.

Note: This method will return a value that is (numerically) far away from the original value. This method is completely different from FloatingPointFormulaManager.castFrom(org.sosy_lab.java_smt.api.Formula, boolean, org.sosy_lab.java_smt.api.FormulaType.FloatingPointType), which will produce a floating-point value close to the numeral value.

Specified by:

fromIeeeBitvector in interface FloatingPointFormulaManager

toIeeeBitvector

public BitvectorFormula toIeeeBitvector(FloatingPointFormula number)

Description copied from interface: FloatingPointFormulaManager

Create a formula that produces a representation of the given floating-point value as a bitvector conforming to the IEEE 754-2008 FP format. The bit size of the resulting bitvector is equal to the total size of the FloatingPointNumbers precision.

Specified by:

toIeeeBitvector in interface FloatingPointFormulaManager

round

public FloatingPointFormula round(FloatingPointFormula formula,
                                  FloatingPointRoundingMode roundingMode)

Specified by:

round in interface FloatingPointFormulaManager

negate

public FloatingPointFormula negate(FloatingPointFormula number)

Specified by:

negate in interface FloatingPointFormulaManager

abs

public FloatingPointFormula abs(FloatingPointFormula number)

Specified by:

abs in interface FloatingPointFormulaManager

max

public FloatingPointFormula max(FloatingPointFormula number1,
                                FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Returns the maximum value of the two given floating-point numbers. If one of the numbers is NaN, the other number is returned.

Specified by:

max in interface FloatingPointFormulaManager

min

public FloatingPointFormula min(FloatingPointFormula number1,
                                FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Returns the minimum value of the two given floating-point numbers. If one of the numbers is NaN, the other number is returned.

Specified by:

min in interface FloatingPointFormulaManager

sqrt

public FloatingPointFormula sqrt(FloatingPointFormula number)

Specified by:

sqrt in interface FloatingPointFormulaManager

sqrt

public FloatingPointFormula sqrt(FloatingPointFormula number,
                                 FloatingPointRoundingMode roundingMode)

Specified by:

sqrt in interface FloatingPointFormulaManager

add

public FloatingPointFormula add(FloatingPointFormula number1,
                                FloatingPointFormula number2)

Specified by:

add in interface FloatingPointFormulaManager

add

public FloatingPointFormula add(FloatingPointFormula number1,
                                FloatingPointFormula number2,
                                FloatingPointRoundingMode pFloatingPointRoundingMode)

Specified by:

add in interface FloatingPointFormulaManager

subtract

public FloatingPointFormula subtract(FloatingPointFormula number1,
                                     FloatingPointFormula number2)

Specified by:

subtract in interface FloatingPointFormulaManager

subtract

public FloatingPointFormula subtract(FloatingPointFormula number1,
                                     FloatingPointFormula number2,
                                     FloatingPointRoundingMode pFloatingPointRoundingMode)

Specified by:

subtract in interface FloatingPointFormulaManager

divide

public FloatingPointFormula divide(FloatingPointFormula number1,
                                   FloatingPointFormula number2)

Specified by:

divide in interface FloatingPointFormulaManager

divide

public FloatingPointFormula divide(FloatingPointFormula number1,
                                   FloatingPointFormula number2,
                                   FloatingPointRoundingMode pFloatingPointRoundingMode)

Specified by:

divide in interface FloatingPointFormulaManager

multiply

public FloatingPointFormula multiply(FloatingPointFormula number1,
                                     FloatingPointFormula number2)

Specified by:

multiply in interface FloatingPointFormulaManager

multiply

public FloatingPointFormula multiply(FloatingPointFormula number1,
                                     FloatingPointFormula number2,
                                     FloatingPointRoundingMode pFloatingPointRoundingMode)

Specified by:

multiply in interface FloatingPointFormulaManager

remainder

public FloatingPointFormula remainder(FloatingPointFormula dividend,
                                      FloatingPointFormula divisor)

Description copied from interface: FloatingPointFormulaManager

remainder: x - y * n, where n in Z is nearest to x/y. The result can be negative even for two positive arguments, e.g. "rem(5, 4) == 1" and "rem(5, 6) == -1", as opposed to integer modulo operators.

Specified by:

remainder in interface FloatingPointFormulaManager

assignment

public BooleanFormula assignment(FloatingPointFormula number1,
                                 FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Create a term for assigning one floating-point term to another. This means both terms are considered equal afterward, based on their bit pattern (i.e., 0.0 != -0 .0 and NaN ==/!= NaN, depending on the bit pattern of each NaN). This method is the same as the method equal for other theories.

Specified by:

assignment in interface FloatingPointFormulaManager

equalWithFPSemantics

public BooleanFormula equalWithFPSemantics(FloatingPointFormula number1,
                                           FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Create a term for comparing the equality of two floating-point terms, according to standard floating-point semantics (i.e., NaN != NaN and 0.0 == -0.0). Be careful to not use this method when you really need FloatingPointFormulaManager.assignment(FloatingPointFormula, FloatingPointFormula).

Specified by:

equalWithFPSemantics in interface FloatingPointFormulaManager

greaterThan

public BooleanFormula greaterThan(FloatingPointFormula number1,
                                  FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Returns whether an FP number is greater than another FP number. If one of the numbers is NaN, the result is always false.

Specified by:

greaterThan in interface FloatingPointFormulaManager

greaterOrEquals

public BooleanFormula greaterOrEquals(FloatingPointFormula number1,
                                      FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Returns whether an FP number is greater or equal than another FP number. If one of the numbers is NaN, the result is always false.

Specified by:

greaterOrEquals in interface FloatingPointFormulaManager

lessThan

public BooleanFormula lessThan(FloatingPointFormula number1,
                               FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Returns whether an FP number is less than another FP number. If one of the numbers is NaN, the result is always false.

Specified by:

lessThan in interface FloatingPointFormulaManager

lessOrEquals

public BooleanFormula lessOrEquals(FloatingPointFormula number1,
                                   FloatingPointFormula number2)

Description copied from interface: FloatingPointFormulaManager

Returns whether an FP number is less or equal than another FP number. If one of the numbers is NaN, the result is always false.

Specified by:

lessOrEquals in interface FloatingPointFormulaManager

isNaN

public BooleanFormula isNaN(FloatingPointFormula number)

Description copied from interface: FloatingPointFormulaManager

Check whether a floating-point number is NaN.

The bit patterns for NaN in SMTLIB are identical to IEEE 754:

• sign=? (irrelevant for NaN)
• exponent=11...11 (all bits are 1)
• mantissa!=00...00 (mantissa is not all 0)

Specified by:

isNaN in interface FloatingPointFormulaManager

isInfinity

public BooleanFormula isInfinity(FloatingPointFormula number)

Description copied from interface: FloatingPointFormulaManager

Checks whether a formula is positive or negative infinity.

The bit patterns for infinity in SMTLIB are identical to IEEE 754:

• sign=? (0 for +Inf, 1 for -Inf)
• exponent=11...11 (all bits are 1)
• mantissa=00...00 (all bits are 0)

Specified by:

isInfinity in interface FloatingPointFormulaManager

isZero

public BooleanFormula isZero(FloatingPointFormula number)

Description copied from interface: FloatingPointFormulaManager

Checks whether a formula is positive or negative zero.

The bit patterns for zero in SMTLIB are identical to IEEE 754:

• sign=? (0 for +0, 1 for -0)
• exponent=00...00 (all bits are 0)
• mantissa=00...00 (all bits are 0)

Specified by:

isZero in interface FloatingPointFormulaManager

isNormal

public BooleanFormula isNormal(FloatingPointFormula number)

Description copied from interface: FloatingPointFormulaManager

Checks whether a formula is normal FP number.

The bit patterns for normal FP numbers in SMTLIB are identical to IEEE 754:

• sign=? (0 for positive numbers, 1 for negative numbers)
• exponent!=00...00 and exponent!=11...11 (exponent is not all 0 or all 1)
• mantissa=? (mantissa is irrelevant)

Specified by:

isNormal in interface FloatingPointFormulaManager

isSubnormal

public BooleanFormula isSubnormal(FloatingPointFormula number)

Description copied from interface: FloatingPointFormulaManager

Checks whether a formula is subnormal FP number.

The bit patterns for subnormal FP numbers in SMTLIB are identical to IEEE 754:

• sign=? (0 for positive numbers, 1 for negative numbers)
• exponent=00...00 (exponent is all 0)
• mantissa!=00...00 (mantissa is not all 0)

Specified by:

isSubnormal in interface FloatingPointFormulaManager

isNegative

public BooleanFormula isNegative(FloatingPointFormula number)

Description copied from interface: FloatingPointFormulaManager

Checks whether a formula is negative, including -0.0.

The bit patterns for negative FP numbers in SMTLIB are identical to IEEE 754:

• sign=1 (1 for negative numbers)
• number is not NaN, i.e., exponent=11...11 implies mantissa=00...00

Specified by:

isNegative in interface FloatingPointFormulaManager