Feature: Polynomials and rational functions #469
@ -22,7 +22,7 @@ public interface Polynomial<C>
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* @param C the type of constants. Polynomials have them as coefficients in their terms.
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* @param P the type of polynomials.
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*/
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@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE")
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@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE") // FIXME: Waiting for KT-31420
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public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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/**
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* Returns sum of the constant and the integer represented as constant (member of underlying ring).
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@ -76,38 +76,38 @@ public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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*
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* The operation is equivalent to adding [other] copies of unit polynomial to [this].
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*/
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public operator fun P.plus(other: Int): P = addMultipliedBySquaring(this, one, other)
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public operator fun P.plus(other: Int): P = addMultipliedByDoubling(this, one, other)
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/**
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* Returns difference between the polynomial and the integer represented as polynomial.
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*
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* The operation is equivalent to subtraction [other] copies of unit polynomial from [this].
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*/
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public operator fun P.minus(other: Int): P = addMultipliedBySquaring(this, one, -other)
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public operator fun P.minus(other: Int): P = addMultipliedByDoubling(this, one, -other)
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/**
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* Returns product of the polynomial and the integer represented as polynomial.
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*
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* The operation is equivalent to sum of [other] copies of [this].
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*/
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public operator fun P.times(other: Int): P = multiplyBySquaring(this, other)
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public operator fun P.times(other: Int): P = multiplyByDoubling(this, other)
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/**
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* Returns sum of the integer represented as polynomial and the polynomial.
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*
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* The operation is equivalent to adding [this] copies of unit polynomial to [other].
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*/
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public operator fun Int.plus(other: P): P = addMultipliedBySquaring(other, one, this)
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public operator fun Int.plus(other: P): P = addMultipliedByDoubling(other, one, this)
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/**
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* Returns difference between the integer represented as polynomial and the polynomial.
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*
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* The operation is equivalent to subtraction [this] copies of unit polynomial from [other].
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*/
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public operator fun Int.minus(other: P): P = addMultipliedBySquaring(-other, one, this)
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public operator fun Int.minus(other: P): P = addMultipliedByDoubling(-other, one, this)
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/**
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* Returns product of the integer represented as polynomial and the polynomial.
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*
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* The operation is equivalent to sum of [this] copies of [other].
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*/
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public operator fun Int.times(other: P): P = multiplyBySquaring(other, this)
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public operator fun Int.times(other: P): P = multiplyByDoubling(other, this)
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/**
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* Converts the integer [value] to polynomial.
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@ -121,38 +121,38 @@ public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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/**
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* Returns the same constant.
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*/
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@JvmName("constantUnaryPlus")
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@JsName("constantUnaryPlus")
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@JvmName("unaryPlusConstant")
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@JsName("unaryPlusConstant")
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public operator fun C.unaryPlus(): C = this
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/**
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* Returns negation of the constant.
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*/
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@JvmName("constantUnaryMinus")
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@JsName("constantUnaryMinus")
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@JvmName("unaryMinusConstant")
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@JsName("unaryMinusConstant")
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public operator fun C.unaryMinus(): C
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/**
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* Returns sum of the constants.
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*/
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@JvmName("constantPlus")
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@JsName("constantPlus")
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@JvmName("plusConstantConstant")
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@JsName("plusConstantConstant")
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public operator fun C.plus(other: C): C
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/**
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* Returns difference of the constants.
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*/
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@JvmName("constantMinus")
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@JsName("constantMinus")
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@JvmName("minusConstantConstant")
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@JsName("minusConstantConstant")
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public operator fun C.minus(other: C): C
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/**
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* Returns product of the constants.
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*/
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@JvmName("constantTimes")
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@JsName("constantTimes")
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@JvmName("timesConstantConstant")
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@JsName("timesConstantConstant")
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public operator fun C.times(other: C): C
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/**
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* Raises [arg] to the integer power [exponent].
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*/
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@JvmName("constantPower")
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@JsName("constantPower")
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@JvmName("powerConstant")
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@JsName("powerConstant")
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public fun power(arg: C, exponent: UInt) : C
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/**
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@ -222,7 +222,7 @@ public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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/**
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* Raises [arg] to the integer power [exponent].
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*/
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public override fun power(arg: P, exponent: UInt) : P = exponentiationBySquaring(arg, exponent)
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public override fun power(arg: P, exponent: UInt) : P = exponentiateBySquaring(arg, exponent)
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/**
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* Instance of zero polynomial (zero of the polynomial ring).
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@ -251,7 +251,7 @@ public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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* @param P the type of polynomials.
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* @param A the type of algebraic structure (precisely, of ring) provided for constants.
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*/
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@Suppress("INAPPLICABLE_JVM_NAME")
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@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
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public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, A: Ring<C>> : PolynomialSpace<C, P> {
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public val ring: A
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@ -261,63 +261,63 @@ public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, A: Ring<C>> : Poly
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*
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* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
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*/
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public override operator fun C.plus(other: Int): C = ring { addMultipliedBySquaring(this@plus, one, other) }
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public override operator fun C.plus(other: Int): C = ring { addMultipliedByDoubling(this@plus, one, other) }
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/**
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* Returns difference between the constant and the integer represented as constant (member of underlying ring).
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*
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* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
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*/
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public override operator fun C.minus(other: Int): C = ring { addMultipliedBySquaring(this@minus, one, -other) }
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public override operator fun C.minus(other: Int): C = ring { addMultipliedByDoubling(this@minus, one, -other) }
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/**
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* Returns product of the constant and the integer represented as constant (member of underlying ring).
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*
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* The operation is equivalent to sum of [other] copies of [this].
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*/
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public override operator fun C.times(other: Int): C = ring { multiplyBySquaring(this@times, other) }
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public override operator fun C.times(other: Int): C = ring { multiplyByDoubling(this@times, other) }
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/**
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* Returns sum of the integer represented as constant (member of underlying ring) and the constant.
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*
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* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
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*/
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public override operator fun Int.plus(other: C): C = ring { addMultipliedBySquaring(other, one, this@plus) }
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public override operator fun Int.plus(other: C): C = ring { addMultipliedByDoubling(other, one, this@plus) }
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/**
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* Returns difference between the integer represented as constant (member of underlying ring) and the constant.
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*
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* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
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*/
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public override operator fun Int.minus(other: C): C = ring { addMultipliedBySquaring(-other, one, this@minus) }
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public override operator fun Int.minus(other: C): C = ring { addMultipliedByDoubling(-other, one, this@minus) }
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/**
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* Returns product of the integer represented as constant (member of underlying ring) and the constant.
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*
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* The operation is equivalent to sum of [this] copies of [other].
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*/
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public override operator fun Int.times(other: C): C = ring { multiplyBySquaring(other, this@times) }
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public override operator fun Int.times(other: C): C = ring { multiplyByDoubling(other, this@times) }
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/**
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* Returns negation of the constant.
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*/
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@JvmName("constantUnaryMinus")
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@JvmName("unaryMinusConstant")
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public override operator fun C.unaryMinus(): C = ring { -this@unaryMinus }
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/**
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* Returns sum of the constants.
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*/
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@JvmName("constantPlus")
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@JvmName("plusConstantConstant")
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public override operator fun C.plus(other: C): C = ring { this@plus + other }
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/**
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* Returns difference of the constants.
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*/
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@JvmName("constantMinus")
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@JvmName("minusConstantConstant")
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public override operator fun C.minus(other: C): C = ring { this@minus - other }
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/**
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* Returns product of the constants.
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*/
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@JvmName("constantTimes")
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@JvmName("timesConstantConstant")
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public override operator fun C.times(other: C): C = ring { this@times * other }
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/**
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* Raises [arg] to the integer power [exponent].
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*/
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@JvmName("constantPower")
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@JvmName("powerConstant")
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override fun power(arg: C, exponent: UInt): C = ring { power(arg, exponent) }
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/**
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@ -330,59 +330,59 @@ public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, A: Ring<C>> : Poly
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public override val constantOne: C get() = ring.one
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}
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@Suppress("INAPPLICABLE_JVM_NAME")
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@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
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public interface MultivariatePolynomialSpace<C, V, P: Polynomial<C>>: PolynomialSpace<C, P> {
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@JvmName("VariableIntPlus")
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@JvmName("plusVariableInt")
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public operator fun V.plus(other: Int): P
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@JvmName("VariableIntMinus")
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@JvmName("minusVariableInt")
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public operator fun V.minus(other: Int): P
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@JvmName("VariableIntMinusTimes")
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@JvmName("timesVariableInt")
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public operator fun V.times(other: Int): P
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@JvmName("IntVariablePlus")
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@JvmName("plusIntVariable")
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public operator fun Int.plus(other: V): P
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@JvmName("IntVariableMinus")
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@JvmName("minusIntVariable")
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public operator fun Int.minus(other: V): P
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@JvmName("IntVariableTimes")
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@JvmName("timesIntVariable")
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public operator fun Int.times(other: V): P
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@JvmName("ConstantVariablePlus")
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@JvmName("plusConstantVariable")
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public operator fun C.plus(other: V): P
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@JvmName("ConstantVariableMinus")
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@JvmName("minusConstantVariable")
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public operator fun C.minus(other: V): P
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@JvmName("ConstantVariableTimes")
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@JvmName("timesConstantVariable")
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public operator fun C.times(other: V): P
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@JvmName("VariableConstantPlus")
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@JvmName("plusVariableConstant")
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public operator fun V.plus(other: C): P
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@JvmName("VariableConstantMinus")
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@JvmName("minusVariableConstant")
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public operator fun V.minus(other: C): P
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@JvmName("VariableConstantTimes")
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@JvmName("timesVariableConstant")
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public operator fun V.times(other: C): P
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@JvmName("VariableUnaryPlus")
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@JvmName("unaryPlusVariable")
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public operator fun V.unaryPlus(): P
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@JvmName("VariableUnaryMinus")
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@JvmName("unaryMinusVariable")
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public operator fun V.unaryMinus(): P
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@JvmName("VariablePlus")
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@JvmName("plusVariableVariable")
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public operator fun V.plus(other: V): P
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@JvmName("VariableMinus")
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@JvmName("minusVariableVariable")
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public operator fun V.minus(other: V): P
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@JvmName("VariableTimes")
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@JvmName("timesVariableVariable")
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public operator fun V.times(other: V): P
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@JvmName("VariablePolynomialPlus")
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@JvmName("plusVariablePolynomial")
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public operator fun V.plus(other: P): P
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@JvmName("VariablePolynomialMinus")
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@JvmName("minusVariablePolynomial")
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public operator fun V.minus(other: P): P
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@JvmName("VariablePolynomialTimes")
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@JvmName("timesVariablePolynomial")
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public operator fun V.times(other: P): P
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@JvmName("PolynomialVariablePlus")
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@JvmName("plusPolynomialVariable")
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public operator fun P.plus(other: V): P
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@JvmName("PolynomialVariableMinus")
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@JvmName("minusPolynomialVariable")
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public operator fun P.minus(other: V): P
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@JvmName("PolynomialVariableTimes")
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@JvmName("timesPolynomialVariable")
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public operator fun P.times(other: V): P
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/**
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@ -28,7 +28,7 @@ public interface RationalFunction<C, P: Polynomial<C>> {
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* @param P the type of polynomials. Rational functions have them as numerators and denominators in them.
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* @param R the type of rational functions.
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*/
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@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE")
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@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE") // FIXME: Waiting for KT-31420
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public interface RationalFunctionalSpace<C, P: Polynomial<C>, R: RationalFunction<C, P>> : Ring<R> {
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/**
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* Returns sum of the constant and the integer represented as constant (member of underlying ring).
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@ -129,52 +129,52 @@ public interface RationalFunctionalSpace<C, P: Polynomial<C>, R: RationalFunctio
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*
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* The operation is equivalent to adding [other] copies of unit polynomial to [this].
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*/
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public operator fun R.plus(other: Int): R = addMultipliedBySquaring(this, one, other)
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public operator fun R.plus(other: Int): R = addMultipliedByDoubling(this, one, other)
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/**
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* Returns difference between the rational function and the integer represented as rational function.
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*
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* The operation is equivalent to subtraction [other] copies of unit polynomial from [this].
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*/
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public operator fun R.minus(other: Int): R = addMultipliedBySquaring(this, one, -other)
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public operator fun R.minus(other: Int): R = addMultipliedByDoubling(this, one, -other)
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/**
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* Returns product of the rational function and the integer represented as rational function.
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*
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* The operation is equivalent to sum of [other] copies of [this].
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*/
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public operator fun R.times(other: Int): R = multiplyBySquaring(this, other)
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public operator fun R.times(other: Int): R = multiplyByDoubling(this, other)
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/**
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* Returns quotient of the rational function and the integer represented as rational function.
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*
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* The operation is equivalent to creating a new rational function by preserving numerator of [this] and
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* multiplication denominator of [this] to [other].
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*/
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public operator fun R.div(other: Int): R = this / multiplyBySquaring(one, other)
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public operator fun R.div(other: Int): R = this / multiplyByDoubling(one, other)
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/**
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* Returns sum of the integer represented as rational function and the rational function.
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*
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* The operation is equivalent to adding [this] copies of unit polynomial to [other].
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*/
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public operator fun Int.plus(other: R): R = addMultipliedBySquaring(other, one, this)
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public operator fun Int.plus(other: R): R = addMultipliedByDoubling(other, one, this)
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/**
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* Returns difference between the integer represented as rational function and the rational function.
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*
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* The operation is equivalent to subtraction [this] copies of unit polynomial from [other].
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*/
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public operator fun Int.minus(other: R): R = addMultipliedBySquaring(-other, one, this)
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public operator fun Int.minus(other: R): R = addMultipliedByDoubling(-other, one, this)
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/**
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* Returns product of the integer represented as rational function and the rational function.
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*
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* The operation is equivalent to sum of [this] copies of [other].
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*/
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public operator fun Int.times(other: R): R = multiplyBySquaring(other, this)
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public operator fun Int.times(other: R): R = multiplyByDoubling(other, this)
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/**
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* Returns quotient of the integer represented as rational function and the rational function.
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*
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* The operation is equivalent to creating a new rational function which numerator is [this] times denominator of
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* [other] and which denominator is [other]'s numerator.
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*/
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public operator fun Int.div(other: R): R = multiplyBySquaring(one / other, this)
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public operator fun Int.div(other: R): R = multiplyByDoubling(one / other, this)
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/**
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* Converts the integer [value] to rational function.
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@ -188,38 +188,38 @@ public interface RationalFunctionalSpace<C, P: Polynomial<C>, R: RationalFunctio
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/**
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* Returns the same constant.
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*/
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@JvmName("constantUnaryPlus")
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@JsName("constantUnaryPlus")
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@JvmName("unaryPlusConstant")
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@JsName("unaryPlusConstant")
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public operator fun C.unaryPlus(): C = this
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/**
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* Returns negation of the constant.
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*/
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@JvmName("constantUnaryMinus")
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@JsName("constantUnaryMinus")
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@JvmName("unaryMinusConstant")
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@JsName("unaryMinusConstant")
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public operator fun C.unaryMinus(): C
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/**
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* Returns sum of the constants.
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*/
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@JvmName("constantPlus")
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@JsName("constantPlus")
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@JvmName("plusConstantConstant")
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@JsName("plusConstantConstant")
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public operator fun C.plus(other: C): C
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/**
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* Returns difference of the constants.
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*/
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@JvmName("constantMinus")
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@JsName("constantMinus")
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@JvmName("minusConstantConstant")
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@JsName("minusConstantConstant")
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public operator fun C.minus(other: C): C
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/**
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* Returns product of the constants.
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*/
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@JvmName("constantTimes")
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@JsName("constantTimes")
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@JvmName("timesConstantConstant")
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@JsName("timesConstantConstant")
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public operator fun C.times(other: C): C
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/**
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* Raises [arg] to the integer power [exponent].
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*/
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@JvmName("constantPower")
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@JsName("constantPower")
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@JvmName("powerConstant")
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@JsName("powerConstant")
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public fun power(arg: C, exponent: UInt) : C
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/**
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@ -417,7 +417,7 @@ public interface RationalFunctionalSpace<C, P: Polynomial<C>, R: RationalFunctio
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/**
|
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* Raises [arg] to the integer power [exponent].
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*/
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public override fun power(arg: R, exponent: UInt) : R = exponentiationBySquaring(arg, exponent)
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public override fun power(arg: R, exponent: UInt) : R = exponentiateBySquaring(arg, exponent)
|
||||
|
||||
/**
|
||||
* Instance of zero rational function (zero of the rational functions ring).
|
||||
@ -458,7 +458,7 @@ public interface RationalFunctionalSpace<C, P: Polynomial<C>, R: RationalFunctio
|
||||
* @param R the type of rational functions.
|
||||
* @param A the type of algebraic structure (precisely, of ring) provided for constants.
|
||||
*/
|
||||
@Suppress("INAPPLICABLE_JVM_NAME")
|
||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||
public interface RationalFunctionalSpaceOverRing<C, P: Polynomial<C>, R: RationalFunction<C, P>, A: Ring<C>> : RationalFunctionalSpace<C, P, R> {
|
||||
|
||||
public val ring: A
|
||||
@ -468,68 +468,68 @@ public interface RationalFunctionalSpaceOverRing<C, P: Polynomial<C>, R: Rationa
|
||||
*
|
||||
* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
|
||||
*/
|
||||
public override operator fun C.plus(other: Int): C = ring { addMultipliedBySquaring(this@plus, one, other) }
|
||||
public override operator fun C.plus(other: Int): C = ring { addMultipliedByDoubling(this@plus, one, other) }
|
||||
/**
|
||||
* Returns difference between the constant and the integer represented as constant (member of underlying ring).
|
||||
*
|
||||
* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
|
||||
*/
|
||||
public override operator fun C.minus(other: Int): C = ring { addMultipliedBySquaring(this@minus, one, -other) }
|
||||
public override operator fun C.minus(other: Int): C = ring { addMultipliedByDoubling(this@minus, one, -other) }
|
||||
/**
|
||||
* Returns product of the constant and the integer represented as constant (member of underlying ring).
|
||||
*
|
||||
* The operation is equivalent to sum of [other] copies of [this].
|
||||
*/
|
||||
public override operator fun C.times(other: Int): C = ring { multiplyBySquaring(this@times, other) }
|
||||
public override operator fun C.times(other: Int): C = ring { multiplyByDoubling(this@times, other) }
|
||||
|
||||
/**
|
||||
* Returns sum of the integer represented as constant (member of underlying ring) and the constant.
|
||||
*
|
||||
* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
|
||||
*/
|
||||
public override operator fun Int.plus(other: C): C = ring { addMultipliedBySquaring(other, one, this@plus) }
|
||||
public override operator fun Int.plus(other: C): C = ring { addMultipliedByDoubling(other, one, this@plus) }
|
||||
/**
|
||||
* Returns difference between the integer represented as constant (member of underlying ring) and the constant.
|
||||
*
|
||||
* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
|
||||
*/
|
||||
public override operator fun Int.minus(other: C): C = ring { addMultipliedBySquaring(-other, one, this@minus) }
|
||||
public override operator fun Int.minus(other: C): C = ring { addMultipliedByDoubling(-other, one, this@minus) }
|
||||
/**
|
||||
* Returns product of the integer represented as constant (member of underlying ring) and the constant.
|
||||
*
|
||||
* The operation is equivalent to sum of [this] copies of [other].
|
||||
*/
|
||||
public override operator fun Int.times(other: C): C = ring { multiplyBySquaring(other, this@times) }
|
||||
public override operator fun Int.times(other: C): C = ring { multiplyByDoubling(other, this@times) }
|
||||
|
||||
/**
|
||||
* Returns the same constant.
|
||||
*/
|
||||
@JvmName("constantUnaryPlus")
|
||||
@JvmName("unaryPlusConstant")
|
||||
public override operator fun C.unaryPlus(): C = ring { +this@unaryPlus }
|
||||
/**
|
||||
* Returns negation of the constant.
|
||||
*/
|
||||
@JvmName("constantUnaryMinus")
|
||||
@JvmName("unaryMinusConstant")
|
||||
public override operator fun C.unaryMinus(): C = ring { -this@unaryMinus }
|
||||
/**
|
||||
* Returns sum of the constants.
|
||||
*/
|
||||
@JvmName("constantPlus")
|
||||
@JvmName("plusConstantConstant")
|
||||
public override operator fun C.plus(other: C): C = ring { this@plus + other }
|
||||
/**
|
||||
* Returns difference of the constants.
|
||||
*/
|
||||
@JvmName("constantMinus")
|
||||
@JvmName("minusConstantConstant")
|
||||
public override operator fun C.minus(other: C): C = ring { this@minus - other }
|
||||
/**
|
||||
* Returns product of the constants.
|
||||
*/
|
||||
@JvmName("constantTimes")
|
||||
@JvmName("timesConstantConstant")
|
||||
public override operator fun C.times(other: C): C = ring { this@times * other }
|
||||
/**
|
||||
* Raises [arg] to the integer power [exponent].
|
||||
*/
|
||||
@JvmName("constantPower")
|
||||
@JvmName("powerConstant")
|
||||
public override fun power(arg: C, exponent: UInt) : C = ring { power(arg, exponent) }
|
||||
|
||||
/**
|
||||
@ -552,7 +552,7 @@ public interface RationalFunctionalSpaceOverRing<C, P: Polynomial<C>, R: Rationa
|
||||
* @param R the type of rational functions.
|
||||
* @param AP the type of algebraic structure (precisely, of ring) provided for polynomials.
|
||||
*/
|
||||
@Suppress("INAPPLICABLE_JVM_NAME")
|
||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||
public interface RationalFunctionalSpaceOverPolynomialSpace<
|
||||
C,
|
||||
P: Polynomial<C>,
|
||||
@ -659,32 +659,32 @@ public interface RationalFunctionalSpaceOverPolynomialSpace<
|
||||
/**
|
||||
* Returns the same constant.
|
||||
*/
|
||||
@JvmName("constantUnaryPlus")
|
||||
@JvmName("unaryPlusConstant")
|
||||
public override operator fun C.unaryPlus(): C = polynomialRing { +this@unaryPlus }
|
||||
/**
|
||||
* Returns negation of the constant.
|
||||
*/
|
||||
@JvmName("constantUnaryMinus")
|
||||
@JvmName("unaryMinusConstant")
|
||||
public override operator fun C.unaryMinus(): C = polynomialRing { -this@unaryMinus }
|
||||
/**
|
||||
* Returns sum of the constants.
|
||||
*/
|
||||
@JvmName("constantPlus")
|
||||
@JvmName("plusConstantConstant")
|
||||
public override operator fun C.plus(other: C): C = polynomialRing { this@plus + other }
|
||||
/**
|
||||
* Returns difference of the constants.
|
||||
*/
|
||||
@JvmName("constantMinus")
|
||||
@JvmName("minusConstantConstant")
|
||||
public override operator fun C.minus(other: C): C = polynomialRing { this@minus - other }
|
||||
/**
|
||||
* Returns product of the constants.
|
||||
*/
|
||||
@JvmName("constantTimes")
|
||||
@JvmName("timesConstantConstant")
|
||||
public override operator fun C.times(other: C): C = polynomialRing { this@times * other }
|
||||
/**
|
||||
* Raises [arg] to the integer power [exponent].
|
||||
*/
|
||||
@JvmName("constantPower")
|
||||
@JvmName("powerConstant")
|
||||
public override fun power(arg: C, exponent: UInt) : C = polynomialRing { power(arg, exponent) }
|
||||
|
||||
/**
|
||||
@ -780,7 +780,7 @@ public interface RationalFunctionalSpaceOverPolynomialSpace<
|
||||
* @param P the type of polynomials. Rational functions have them as numerators and denominators in them.
|
||||
* @param R the type of rational functions.
|
||||
*/
|
||||
@Suppress("INAPPLICABLE_JVM_NAME")
|
||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||
public abstract class PolynomialSpaceOfFractions<
|
||||
C,
|
||||
P: Polynomial<C>,
|
||||
@ -1052,78 +1052,78 @@ public abstract class PolynomialSpaceOfFractions<
|
||||
public override val one: R get() = constructRationalFunction(polynomialOne)
|
||||
}
|
||||
|
||||
@Suppress("INAPPLICABLE_JVM_NAME")
|
||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||
public interface MultivariateRationalFunctionalSpace<
|
||||
C,
|
||||
V,
|
||||
P: Polynomial<C>,
|
||||
R: RationalFunction<C, P>
|
||||
>: RationalFunctionalSpace<C, P, R> {
|
||||
@JvmName("VariableIntPlus")
|
||||
@JvmName("plusVariableInt")
|
||||
public operator fun V.plus(other: Int): P
|
||||
@JvmName("VariableIntMinus")
|
||||
@JvmName("minusVariableInt")
|
||||
public operator fun V.minus(other: Int): P
|
||||
@JvmName("VariableIntMinusTimes")
|
||||
@JvmName("timesVariableInt")
|
||||
public operator fun V.times(other: Int): P
|
||||
|
||||
@JvmName("IntVariablePlus")
|
||||
@JvmName("plusIntVariable")
|
||||
public operator fun Int.plus(other: V): P
|
||||
@JvmName("IntVariableMinus")
|
||||
@JvmName("minusIntVariable")
|
||||
public operator fun Int.minus(other: V): P
|
||||
@JvmName("IntVariableTimes")
|
||||
@JvmName("timesIntVariable")
|
||||
public operator fun Int.times(other: V): P
|
||||
|
||||
@JvmName("ConstantVariablePlus")
|
||||
@JvmName("plusConstantVariable")
|
||||
public operator fun C.plus(other: V): P
|
||||
@JvmName("ConstantVariableMinus")
|
||||
@JvmName("minusConstantVariable")
|
||||
public operator fun C.minus(other: V): P
|
||||
@JvmName("ConstantVariableTimes")
|
||||
@JvmName("timesConstantVariable")
|
||||
public operator fun C.times(other: V): P
|
||||
|
||||
@JvmName("VariableConstantPlus")
|
||||
@JvmName("plusVariableConstant")
|
||||
public operator fun V.plus(other: C): P
|
||||
@JvmName("VariableConstantMinus")
|
||||
@JvmName("minusVariableConstant")
|
||||
public operator fun V.minus(other: C): P
|
||||
@JvmName("VariableConstantTimes")
|
||||
@JvmName("timesVariableConstant")
|
||||
public operator fun V.times(other: C): P
|
||||
|
||||
@JvmName("VariableUnaryPlus")
|
||||
@JvmName("unaryPlusVariable")
|
||||
public operator fun V.unaryPlus(): P
|
||||
@JvmName("VariableUnaryMinus")
|
||||
@JvmName("unaryMinusVariable")
|
||||
public operator fun V.unaryMinus(): P
|
||||
@JvmName("VariablePlus")
|
||||
@JvmName("plusVariableVariable")
|
||||
public operator fun V.plus(other: V): P
|
||||
@JvmName("VariableMinus")
|
||||
@JvmName("minusVariableVariable")
|
||||
public operator fun V.minus(other: V): P
|
||||
@JvmName("VariableTimes")
|
||||
@JvmName("timesVariableVariable")
|
||||
public operator fun V.times(other: V): P
|
||||
|
||||
@JvmName("VariablePolynomialPlus")
|
||||
@JvmName("plusVariablePolynomial")
|
||||
public operator fun V.plus(other: P): P
|
||||
@JvmName("VariablePolynomialMinus")
|
||||
@JvmName("minusVariablePolynomial")
|
||||
public operator fun V.minus(other: P): P
|
||||
@JvmName("VariablePolynomialTimes")
|
||||
@JvmName("timesVariablePolynomial")
|
||||
public operator fun V.times(other: P): P
|
||||
|
||||
@JvmName("PolynomialVariablePlus")
|
||||
@JvmName("plusPolynomialVariable")
|
||||
public operator fun P.plus(other: V): P
|
||||
@JvmName("PolynomialVariableMinus")
|
||||
@JvmName("minusPolynomialVariable")
|
||||
public operator fun P.minus(other: V): P
|
||||
@JvmName("PolynomialVariableTimes")
|
||||
@JvmName("timesPolynomialVariable")
|
||||
public operator fun P.times(other: V): P
|
||||
|
||||
@JvmName("VariableRationalFunctionPlus")
|
||||
@JvmName("plusVariableRational")
|
||||
public operator fun V.plus(other: R): R
|
||||
@JvmName("VariableRationalFunctionMinus")
|
||||
@JvmName("minusVariableRational")
|
||||
public operator fun V.minus(other: R): R
|
||||
@JvmName("VariableRationalFunctionTimes")
|
||||
@JvmName("timesVariableRational")
|
||||
public operator fun V.times(other: R): R
|
||||
|
||||
@JvmName("RationalFunctionVariablePlus")
|
||||
@JvmName("plusRationalVariable")
|
||||
public operator fun R.plus(other: V): R
|
||||
@JvmName("RationalFunctionVariableMinus")
|
||||
@JvmName("minusRationalVariable")
|
||||
public operator fun R.minus(other: V): R
|
||||
@JvmName("RationalFunctionVariableTimes")
|
||||
@JvmName("timesRationalVariable")
|
||||
public operator fun R.times(other: V): R
|
||||
|
||||
/**
|
||||
@ -1177,7 +1177,7 @@ public interface MultivariateRationalFunctionalSpaceOverPolynomialSpace<
|
||||
AP: PolynomialSpace<C, P>,
|
||||
> : RationalFunctionalSpaceOverPolynomialSpace<C, P, R, AP>, MultivariateRationalFunctionalSpace<C, V, P, R>
|
||||
|
||||
@Suppress("INAPPLICABLE_JVM_NAME")
|
||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||
public interface MultivariateRationalFunctionalSpaceOverMultivariatePolynomialSpace<
|
||||
C,
|
||||
V,
|
||||
@ -1185,57 +1185,57 @@ public interface MultivariateRationalFunctionalSpaceOverMultivariatePolynomialSp
|
||||
R: RationalFunction<C, P>,
|
||||
AP: MultivariatePolynomialSpace<C, V, P>,
|
||||
> : MultivariateRationalFunctionalSpaceOverPolynomialSpace<C, V, P, R, AP> {
|
||||
@JvmName("VariableIntPlus")
|
||||
@JvmName("plusVariableInt")
|
||||
public override operator fun V.plus(other: Int): P = polynomialRing { this@plus + other }
|
||||
@JvmName("VariableIntMinus")
|
||||
@JvmName("minusVariableInt")
|
||||
public override operator fun V.minus(other: Int): P = polynomialRing { this@minus - other }
|
||||
@JvmName("VariableIntMinusTimes")
|
||||
@JvmName("timesVariableInt")
|
||||
public override operator fun V.times(other: Int): P = polynomialRing { this@times * other }
|
||||
|
||||
@JvmName("IntVariablePlus")
|
||||
@JvmName("plusIntVariable")
|
||||
public override operator fun Int.plus(other: V): P = polynomialRing { this@plus + other }
|
||||
@JvmName("IntVariableMinus")
|
||||
@JvmName("minusIntVariable")
|
||||
public override operator fun Int.minus(other: V): P = polynomialRing { this@minus - other }
|
||||
@JvmName("IntVariableTimes")
|
||||
@JvmName("timesIntVariable")
|
||||
public override operator fun Int.times(other: V): P = polynomialRing { this@times * other }
|
||||
|
||||
@JvmName("ConstantVariablePlus")
|
||||
@JvmName("plusConstantVariable")
|
||||
public override operator fun C.plus(other: V): P = polynomialRing { this@plus + other }
|
||||
@JvmName("ConstantVariableMinus")
|
||||
@JvmName("minusConstantVariable")
|
||||
public override operator fun C.minus(other: V): P = polynomialRing { this@minus - other }
|
||||
@JvmName("ConstantVariableTimes")
|
||||
@JvmName("timesConstantVariable")
|
||||
public override operator fun C.times(other: V): P = polynomialRing { this@times * other }
|
||||
|
||||
@JvmName("VariableConstantPlus")
|
||||
@JvmName("plusVariableConstant")
|
||||
public override operator fun V.plus(other: C): P = polynomialRing { this@plus + other }
|
||||
@JvmName("VariableConstantMinus")
|
||||
@JvmName("minusVariableConstant")
|
||||
public override operator fun V.minus(other: C): P = polynomialRing { this@minus - other }
|
||||
@JvmName("VariableConstantTimes")
|
||||
@JvmName("timesVariableConstant")
|
||||
public override operator fun V.times(other: C): P = polynomialRing { this@times * other }
|
||||
|
||||
@JvmName("VariableUnaryPlus")
|
||||
@JvmName("unaryPlusVariable")
|
||||
public override operator fun V.unaryPlus(): P = polynomialRing { +this@unaryPlus }
|
||||
@JvmName("VariableUnaryMinus")
|
||||
@JvmName("unaryMinusVariable")
|
||||
public override operator fun V.unaryMinus(): P = polynomialRing { -this@unaryMinus }
|
||||
@JvmName("VariablePlus")
|
||||
@JvmName("plusVariableVariable")
|
||||
public override operator fun V.plus(other: V): P = polynomialRing { this@plus + other }
|
||||
@JvmName("VariableMinus")
|
||||
@JvmName("minusVariableVariable")
|
||||
public override operator fun V.minus(other: V): P = polynomialRing { this@minus - other }
|
||||
@JvmName("VariableTimes")
|
||||
@JvmName("timesVariableVariable")
|
||||
public override operator fun V.times(other: V): P = polynomialRing { this@times * other }
|
||||
|
||||
@JvmName("VariablePolynomialPlus")
|
||||
@JvmName("plusVariablePolynomial")
|
||||
public override operator fun V.plus(other: P): P = polynomialRing { this@plus + other }
|
||||
@JvmName("VariablePolynomialMinus")
|
||||
@JvmName("minusVariablePolynomial")
|
||||
public override operator fun V.minus(other: P): P = polynomialRing { this@minus - other }
|
||||
@JvmName("VariablePolynomialTimes")
|
||||
@JvmName("timesVariablePolynomial")
|
||||
public override operator fun V.times(other: P): P = polynomialRing { this@times * other }
|
||||
|
||||
@JvmName("PolynomialVariablePlus")
|
||||
@JvmName("plusPolynomialVariable")
|
||||
public override operator fun P.plus(other: V): P = polynomialRing { this@plus + other }
|
||||
@JvmName("PolynomialVariableMinus")
|
||||
@JvmName("minusPolynomialVariable")
|
||||
public override operator fun P.minus(other: V): P = polynomialRing { this@minus - other }
|
||||
@JvmName("PolynomialVariableTimes")
|
||||
@JvmName("timesPolynomialVariable")
|
||||
public override operator fun P.times(other: V): P = polynomialRing { this@times * other }
|
||||
|
||||
/**
|
||||
@ -1264,45 +1264,45 @@ public interface MultivariateRationalFunctionalSpaceOverMultivariatePolynomialSp
|
||||
public override val P.countOfVariables: Int get() = polynomialRing { countOfVariables }
|
||||
}
|
||||
|
||||
@Suppress("INAPPLICABLE_JVM_NAME")
|
||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||
public abstract class MultivariatePolynomialSpaceOfFractions<
|
||||
C,
|
||||
V,
|
||||
P: Polynomial<C>,
|
||||
R: RationalFunction<C, P>,
|
||||
> : MultivariateRationalFunctionalSpace<C, V, P, R>, PolynomialSpaceOfFractions<C, P, R>() {
|
||||
@JvmName("VariableRationalFunctionPlus")
|
||||
@JvmName("plusVariableRational")
|
||||
public override operator fun V.plus(other: R): R =
|
||||
constructRationalFunction(
|
||||
this * other.denominator + other.numerator,
|
||||
other.denominator
|
||||
)
|
||||
@JvmName("VariableRationalFunctionMinus")
|
||||
@JvmName("minusVariableRational")
|
||||
public override operator fun V.minus(other: R): R =
|
||||
constructRationalFunction(
|
||||
this * other.denominator - other.numerator,
|
||||
other.denominator
|
||||
)
|
||||
@JvmName("VariableRationalFunctionTimes")
|
||||
@JvmName("timesVariableRational")
|
||||
public override operator fun V.times(other: R): R =
|
||||
constructRationalFunction(
|
||||
this * other.numerator,
|
||||
other.denominator
|
||||
)
|
||||
|
||||
@JvmName("RationalFunctionVariablePlus")
|
||||
@JvmName("plusRationalVariable")
|
||||
public override operator fun R.plus(other: V): R =
|
||||
constructRationalFunction(
|
||||
numerator + denominator * other,
|
||||
denominator
|
||||
)
|
||||
@JvmName("RationalFunctionVariableMinus")
|
||||
@JvmName("minusRationalVariable")
|
||||
public override operator fun R.minus(other: V): R =
|
||||
constructRationalFunction(
|
||||
numerator - denominator * other,
|
||||
denominator
|
||||
)
|
||||
@JvmName("RationalFunctionVariableTimes")
|
||||
@JvmName("timesRationalVariable")
|
||||
public override operator fun R.times(other: V): R =
|
||||
constructRationalFunction(
|
||||
numerator * other,
|
||||
|
||||
@ -18,9 +18,9 @@ import space.kscience.kmath.operations.*
|
||||
* @return product of the multiplicand [arg] and the multiplier [multiplier].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal fun <C> Group<C>.multiplyBySquaring(arg: C, multiplier: Int): C =
|
||||
if (multiplier >= 0) multiplyBySquaring(arg, multiplier.toUInt())
|
||||
else multiplyBySquaring(-arg, (-multiplier).toUInt())
|
||||
internal fun <C> Group<C>.multiplyByDoubling(arg: C, multiplier: Int): C =
|
||||
if (multiplier >= 0) multiplyByDoubling(arg, multiplier.toUInt())
|
||||
else multiplyByDoubling(-arg, (-multiplier).toUInt())
|
||||
|
||||
// FIXME: Move receiver to context receiver
|
||||
/**
|
||||
@ -32,9 +32,9 @@ internal fun <C> Group<C>.multiplyBySquaring(arg: C, multiplier: Int): C =
|
||||
* @return sum of the augend [base] and product of the multiplicand [arg] and the multiplier [multiplier].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal fun <C> GroupOps<C>.addMultipliedBySquaring(base: C, arg: C, multiplier: Int): C =
|
||||
if (multiplier >= 0) addMultipliedBySquaring(base, arg, multiplier.toUInt())
|
||||
else addMultipliedBySquaring(base, -arg, (-multiplier).toUInt())
|
||||
internal fun <C> GroupOps<C>.addMultipliedByDoubling(base: C, arg: C, multiplier: Int): C =
|
||||
if (multiplier >= 0) addMultipliedByDoubling(base, arg, multiplier.toUInt())
|
||||
else addMultipliedByDoubling(base, -arg, (-multiplier).toUInt())
|
||||
|
||||
// FIXME: Move receiver to context receiver
|
||||
/**
|
||||
@ -47,12 +47,12 @@ internal fun <C> GroupOps<C>.addMultipliedBySquaring(base: C, arg: C, multiplier
|
||||
* @return product of the multiplicand [arg] and the multiplier [multiplier].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal tailrec fun <C> Group<C>.multiplyBySquaring(arg: C, multiplier: UInt): C =
|
||||
internal tailrec fun <C> Group<C>.multiplyByDoubling(arg: C, multiplier: UInt): C =
|
||||
when {
|
||||
multiplier == 0u -> zero
|
||||
multiplier == 1u -> arg
|
||||
multiplier and 1u == 0u -> multiplyBySquaring(arg + arg, multiplier shr 1)
|
||||
multiplier and 1u == 1u -> addMultipliedBySquaring(arg, arg + arg, multiplier shr 1)
|
||||
multiplier and 1u == 0u -> multiplyByDoubling(arg + arg, multiplier shr 1)
|
||||
multiplier and 1u == 1u -> addMultipliedByDoubling(arg, arg + arg, multiplier shr 1)
|
||||
else -> error("Error in multiplication group instant by unsigned integer: got reminder by division by 2 different from 0 and 1")
|
||||
}
|
||||
|
||||
@ -68,12 +68,12 @@ internal tailrec fun <C> Group<C>.multiplyBySquaring(arg: C, multiplier: UInt):
|
||||
* @return sum of the augend [base] and product of the multiplicand [arg] and the multiplier [multiplier].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal tailrec fun <C> GroupOps<C>.addMultipliedBySquaring(base: C, arg: C, multiplier: UInt): C =
|
||||
internal tailrec fun <C> GroupOps<C>.addMultipliedByDoubling(base: C, arg: C, multiplier: UInt): C =
|
||||
when {
|
||||
multiplier == 0u -> base
|
||||
multiplier == 1u -> base + arg
|
||||
multiplier and 1u == 0u -> addMultipliedBySquaring(base, arg + arg, multiplier shr 1)
|
||||
multiplier and 1u == 1u -> addMultipliedBySquaring(base + arg, arg + arg, multiplier shr 1)
|
||||
multiplier and 1u == 0u -> addMultipliedByDoubling(base, arg + arg, multiplier shr 1)
|
||||
multiplier and 1u == 1u -> addMultipliedByDoubling(base + arg, arg + arg, multiplier shr 1)
|
||||
else -> error("Error in multiplication group instant by unsigned integer: got reminder by division by 2 different from 0 and 1")
|
||||
}
|
||||
|
||||
@ -86,9 +86,9 @@ internal tailrec fun <C> GroupOps<C>.addMultipliedBySquaring(base: C, arg: C, mu
|
||||
* @return [arg] raised to the power [exponent].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal fun <C> Field<C>.exponentiationBySquaring(arg: C, exponent: Int): C =
|
||||
if (exponent >= 0) exponentiationBySquaring(arg, exponent.toUInt())
|
||||
else exponentiationBySquaring(one / arg, (-exponent).toUInt())
|
||||
internal fun <C> Field<C>.exponentiateBySquaring(arg: C, exponent: Int): C =
|
||||
if (exponent >= 0) exponentiateBySquaring(arg, exponent.toUInt())
|
||||
else exponentiateBySquaring(one / arg, (-exponent).toUInt())
|
||||
|
||||
// FIXME: Move receiver to context receiver
|
||||
/**
|
||||
@ -100,9 +100,9 @@ internal fun <C> Field<C>.exponentiationBySquaring(arg: C, exponent: Int): C =
|
||||
* @return product of [base] and [arg] raised to the power [exponent].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal fun <C> Field<C>.multiplyExponentiationBySquaring(base: C, arg: C, exponent: Int): C =
|
||||
if (exponent >= 0) multiplyExponentiationBySquaring(base, arg, exponent.toUInt())
|
||||
else multiplyExponentiationBySquaring(base, one / arg, (-exponent).toUInt())
|
||||
internal fun <C> Field<C>.multiplyExponentiatedBySquaring(base: C, arg: C, exponent: Int): C =
|
||||
if (exponent >= 0) multiplyExponentiatedBySquaring(base, arg, exponent.toUInt())
|
||||
else multiplyExponentiatedBySquaring(base, one / arg, (-exponent).toUInt())
|
||||
|
||||
// FIXME: Move receiver to context receiver
|
||||
/**
|
||||
@ -115,12 +115,12 @@ internal fun <C> Field<C>.multiplyExponentiationBySquaring(base: C, arg: C, expo
|
||||
* @return [arg] raised to the power [exponent].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal tailrec fun <C> Ring<C>.exponentiationBySquaring(arg: C, exponent: UInt): C =
|
||||
internal tailrec fun <C> Ring<C>.exponentiateBySquaring(arg: C, exponent: UInt): C =
|
||||
when {
|
||||
exponent == 0u -> zero
|
||||
exponent == 1u -> arg
|
||||
exponent and 1u == 0u -> exponentiationBySquaring(arg * arg, exponent shr 1)
|
||||
exponent and 1u == 1u -> multiplyExponentiationBySquaring(arg, arg * arg, exponent shr 1)
|
||||
exponent and 1u == 0u -> exponentiateBySquaring(arg * arg, exponent shr 1)
|
||||
exponent and 1u == 1u -> multiplyExponentiatedBySquaring(arg, arg * arg, exponent shr 1)
|
||||
else -> error("Error in multiplication group instant by unsigned integer: got reminder by division by 2 different from 0 and 1")
|
||||
}
|
||||
|
||||
@ -136,11 +136,11 @@ internal tailrec fun <C> Ring<C>.exponentiationBySquaring(arg: C, exponent: UInt
|
||||
* @return product of [base] and [arg] raised to the power [exponent].
|
||||
* @author Gleb Minaev
|
||||
*/
|
||||
internal tailrec fun <C> RingOps<C>.multiplyExponentiationBySquaring(base: C, arg: C, exponent: UInt): C =
|
||||
internal tailrec fun <C> RingOps<C>.multiplyExponentiatedBySquaring(base: C, arg: C, exponent: UInt): C =
|
||||
when {
|
||||
exponent == 0u -> base
|
||||
exponent == 1u -> base * arg
|
||||
exponent and 1u == 0u -> multiplyExponentiationBySquaring(base, arg * arg, exponent shr 1)
|
||||
exponent and 1u == 1u -> multiplyExponentiationBySquaring(base * arg, arg * arg, exponent shr 1)
|
||||
exponent and 1u == 0u -> multiplyExponentiatedBySquaring(base, arg * arg, exponent shr 1)
|
||||
exponent and 1u == 1u -> multiplyExponentiatedBySquaring(base * arg, arg * arg, exponent shr 1)
|
||||
else -> error("Error in multiplication group instant by unsigned integer: got reminder by division by 2 different from 0 and 1")
|
||||
}
|
||||
@ -271,7 +271,7 @@ public fun <C, A : Ring<C>> LabeledPolynomial<C>.derivativeWithRespectTo(
|
||||
}
|
||||
}
|
||||
},
|
||||
multiplyBySquaring(c, degs[variable]!!)
|
||||
multiplyByDoubling(c, degs[variable]!!)
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -302,7 +302,7 @@ public fun <C, A : Ring<C>> LabeledPolynomial<C>.derivativeWithRespectTo(
|
||||
}
|
||||
}
|
||||
},
|
||||
cleanedVariables.fold(c) { acc, variable -> multiplyBySquaring(acc, degs[variable]!!) }
|
||||
cleanedVariables.fold(c) { acc, variable -> multiplyByDoubling(acc, degs[variable]!!) }
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -335,7 +335,7 @@ public fun <C, A : Ring<C>> LabeledPolynomial<C>.nthDerivativeWithRespectTo(
|
||||
},
|
||||
degs[variable]!!.let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(c) { acc, ord -> multiplyBySquaring(acc, ord) }
|
||||
.fold(c) { acc, ord -> multiplyByDoubling(acc, ord) }
|
||||
}
|
||||
)
|
||||
}
|
||||
@ -371,7 +371,7 @@ public fun <C, A : Ring<C>> LabeledPolynomial<C>.nthDerivativeWithRespectTo(
|
||||
filteredVariablesAndOrders.entries.fold(c) { acc1, (index, order) ->
|
||||
degs[index]!!.let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(acc1) { acc2, ord -> multiplyBySquaring(acc2, ord) }
|
||||
.fold(acc1) { acc2, ord -> multiplyByDoubling(acc2, ord) }
|
||||
}
|
||||
}
|
||||
)
|
||||
@ -398,7 +398,7 @@ public fun <C, A : Field<C>> LabeledPolynomial<C>.antiderivativeWithRespectTo(
|
||||
}
|
||||
put(
|
||||
newDegs,
|
||||
c / multiplyBySquaring(one, newDegs[variable]!!)
|
||||
c / multiplyByDoubling(one, newDegs[variable]!!)
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -425,7 +425,7 @@ public fun <C, A : Field<C>> LabeledPolynomial<C>.antiderivativeWithRespectTo(
|
||||
}
|
||||
put(
|
||||
newDegs,
|
||||
cleanedVariables.fold(c) { acc, variable -> acc / multiplyBySquaring(one, newDegs[variable]!!) }
|
||||
cleanedVariables.fold(c) { acc, variable -> acc / multiplyByDoubling(one, newDegs[variable]!!) }
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -454,7 +454,7 @@ public fun <C, A : Field<C>> LabeledPolynomial<C>.nthAntiderivativeWithRespectTo
|
||||
newDegs,
|
||||
newDegs[variable]!!.let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(c) { acc, ord -> acc / multiplyBySquaring(one, ord) }
|
||||
.fold(c) { acc, ord -> acc / multiplyByDoubling(one, ord) }
|
||||
}
|
||||
)
|
||||
}
|
||||
@ -485,7 +485,7 @@ public fun <C, A : Field<C>> LabeledPolynomial<C>.nthAntiderivativeWithRespectTo
|
||||
filteredVariablesAndOrders.entries.fold(c) { acc1, (index, order) ->
|
||||
newDegs[index]!!.let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(acc1) { acc2, ord -> acc2 / multiplyBySquaring(one, ord) }
|
||||
.fold(acc1) { acc2, ord -> acc2 / multiplyByDoubling(one, ord) }
|
||||
}
|
||||
}
|
||||
)
|
||||
|
||||
@ -322,7 +322,7 @@ public fun <C, A : Ring<C>> NumberedPolynomial<C>.derivativeWithRespectTo(
|
||||
else -> return@forEach
|
||||
}
|
||||
}.cleanUp(),
|
||||
multiplyBySquaring(c, degs[variable])
|
||||
multiplyByDoubling(c, degs[variable])
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -353,7 +353,7 @@ public fun <C, A : Ring<C>> NumberedPolynomial<C>.derivativeWithRespectTo(
|
||||
else -> return@forEach
|
||||
}
|
||||
}.cleanUp(),
|
||||
cleanedVariables.fold(c) { acc, variable -> multiplyBySquaring(acc, degs[variable]) }
|
||||
cleanedVariables.fold(c) { acc, variable -> multiplyByDoubling(acc, degs[variable]) }
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -385,7 +385,7 @@ public fun <C, A : Ring<C>> NumberedPolynomial<C>.nthDerivativeWithRespectTo(
|
||||
}.cleanUp(),
|
||||
degs[variable].let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(c) { acc, ord -> multiplyBySquaring(acc, ord) }
|
||||
.fold(c) { acc, ord -> multiplyByDoubling(acc, ord) }
|
||||
}
|
||||
)
|
||||
}
|
||||
@ -418,7 +418,7 @@ public fun <C, A : Ring<C>> NumberedPolynomial<C>.nthDerivativeWithRespectTo(
|
||||
filteredVariablesAndOrders.entries.fold(c) { acc1, (index, order) ->
|
||||
degs[index].let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(acc1) { acc2, ord -> multiplyBySquaring(acc2, ord) }
|
||||
.fold(acc1) { acc2, ord -> multiplyByDoubling(acc2, ord) }
|
||||
}
|
||||
}
|
||||
)
|
||||
@ -441,7 +441,7 @@ public fun <C, A : Field<C>> NumberedPolynomial<C>.antiderivativeWithRespectTo(
|
||||
.forEach { (degs, c) ->
|
||||
put(
|
||||
List(max(variable + 1, degs.size)) { if (it != variable) degs[it] else degs[it] + 1u },
|
||||
c / multiplyBySquaring(one, degs[variable])
|
||||
c / multiplyByDoubling(one, degs[variable])
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -465,7 +465,7 @@ public fun <C, A : Field<C>> NumberedPolynomial<C>.antiderivativeWithRespectTo(
|
||||
.forEach { (degs, c) ->
|
||||
put(
|
||||
List(max(maxRespectedVariable + 1, degs.size)) { if (it !in variables) degs[it] else degs[it] + 1u },
|
||||
cleanedVariables.fold(c) { acc, variable -> acc / multiplyBySquaring(one, degs[variable]) }
|
||||
cleanedVariables.fold(c) { acc, variable -> acc / multiplyByDoubling(one, degs[variable]) }
|
||||
)
|
||||
}
|
||||
}
|
||||
@ -490,7 +490,7 @@ public fun <C, A : Field<C>> NumberedPolynomial<C>.nthAntiderivativeWithRespectT
|
||||
List(max(variable + 1, degs.size)) { if (it != variable) degs[it] else degs[it] + order },
|
||||
degs[variable].let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(c) { acc, ord -> acc / multiplyBySquaring(one, ord) }
|
||||
.fold(c) { acc, ord -> acc / multiplyByDoubling(one, ord) }
|
||||
}
|
||||
)
|
||||
}
|
||||
@ -518,7 +518,7 @@ public fun <C, A : Field<C>> NumberedPolynomial<C>.nthAntiderivativeWithRespectT
|
||||
filteredVariablesAndOrders.entries.fold(c) { acc1, (index, order) ->
|
||||
degs[index].let { deg ->
|
||||
(deg downTo deg - order + 1u)
|
||||
.fold(acc1) { acc2, ord -> acc2 / multiplyBySquaring(one, ord) }
|
||||
.fold(acc1) { acc2, ord -> acc2 / multiplyByDoubling(one, ord) }
|
||||
}
|
||||
}
|
||||
)
|
||||
|
||||
@ -31,47 +31,47 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"57",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 0u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 0u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 0u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + 179)",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 1u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 1u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 1u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (179 + 179))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 2u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 2u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 2u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 179) + (179 + 179))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 3u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 3u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 3u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 4u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 4u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 4u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 179) + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 5u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 5u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 5u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + (179 + 179)) + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 6u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 6u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 6u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 + 179) + (179 + 179)) + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 7u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 7u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 7u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (((179 + 179) + (179 + 179)) + ((179 + 179) + (179 + 179))))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 8u).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 8u).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 8u)"
|
||||
)
|
||||
}
|
||||
@ -81,47 +81,47 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"0",
|
||||
multiplyBySquaring(Expr("57"), 0u).expr,
|
||||
multiplyByDoubling(Expr("57"), 0u).expr,
|
||||
"tried multiplyBySquaring(57, 0u)"
|
||||
)
|
||||
assertEquals(
|
||||
"57",
|
||||
multiplyBySquaring(Expr("57"), 1u).expr,
|
||||
multiplyByDoubling(Expr("57"), 1u).expr,
|
||||
"tried multiplyBySquaring(57, 1u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + 57)",
|
||||
multiplyBySquaring(Expr("57"), 2u).expr,
|
||||
multiplyByDoubling(Expr("57"), 2u).expr,
|
||||
"tried multiplyBySquaring(57, 2u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (57 + 57))",
|
||||
multiplyBySquaring(Expr("57"), 3u).expr,
|
||||
multiplyByDoubling(Expr("57"), 3u).expr,
|
||||
"tried multiplyBySquaring(57, 3u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 57) + (57 + 57))",
|
||||
multiplyBySquaring(Expr("57"), 4u).expr,
|
||||
multiplyByDoubling(Expr("57"), 4u).expr,
|
||||
"tried multiplyBySquaring(57, 4u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 5u).expr,
|
||||
multiplyByDoubling(Expr("57"), 5u).expr,
|
||||
"tried multiplyBySquaring(57, 5u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 57) + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 6u).expr,
|
||||
multiplyByDoubling(Expr("57"), 6u).expr,
|
||||
"tried multiplyBySquaring(57, 6u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + (57 + 57)) + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 7u).expr,
|
||||
multiplyByDoubling(Expr("57"), 7u).expr,
|
||||
"tried multiplyBySquaring(57, 7u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 + 57) + (57 + 57)) + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 8u).expr,
|
||||
multiplyByDoubling(Expr("57"), 8u).expr,
|
||||
"tried multiplyBySquaring(57, 8u)"
|
||||
)
|
||||
}
|
||||
@ -131,87 +131,87 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"57",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 0).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 0).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 0)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + 179)",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 1).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 1).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 1)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + -179)",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -1).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -1).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -1)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (179 + 179))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 2).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 2).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 2)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (-179 + -179))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -2).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -2).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -2)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 179) + (179 + 179))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 3).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 3).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 3)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + -179) + (-179 + -179))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -3).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -3).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -3)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 4).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 4).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 4)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + ((-179 + -179) + (-179 + -179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -4).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -4).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -4)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 179) + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 5).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 5).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 5)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + -179) + ((-179 + -179) + (-179 + -179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -5).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -5).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -5)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + (179 + 179)) + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 6).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 6).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 6)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + (-179 + -179)) + ((-179 + -179) + (-179 + -179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -6).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -6).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -6)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 + 179) + (179 + 179)) + ((179 + 179) + (179 + 179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 7).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 7).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 7)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 + -179) + (-179 + -179)) + ((-179 + -179) + (-179 + -179)))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -7).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -7).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -7)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (((179 + 179) + (179 + 179)) + ((179 + 179) + (179 + 179))))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), 8).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), 8).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, 8)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (((-179 + -179) + (-179 + -179)) + ((-179 + -179) + (-179 + -179))))",
|
||||
addMultipliedBySquaring(Expr("57"), Expr("179"), -8).expr,
|
||||
addMultipliedByDoubling(Expr("57"), Expr("179"), -8).expr,
|
||||
"tried addMultipliedBySquaring(57, 179, -8)"
|
||||
)
|
||||
}
|
||||
@ -221,87 +221,87 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"0",
|
||||
multiplyBySquaring(Expr("57"), 0).expr,
|
||||
multiplyByDoubling(Expr("57"), 0).expr,
|
||||
"tried multiplyBySquaring(57, 0)"
|
||||
)
|
||||
assertEquals(
|
||||
"57",
|
||||
multiplyBySquaring(Expr("57"), 1).expr,
|
||||
multiplyByDoubling(Expr("57"), 1).expr,
|
||||
"tried multiplyBySquaring(57, 1)"
|
||||
)
|
||||
assertEquals(
|
||||
"-57",
|
||||
multiplyBySquaring(Expr("57"), -1).expr,
|
||||
multiplyByDoubling(Expr("57"), -1).expr,
|
||||
"tried multiplyBySquaring(57, -1)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + 57)",
|
||||
multiplyBySquaring(Expr("57"), 2).expr,
|
||||
multiplyByDoubling(Expr("57"), 2).expr,
|
||||
"tried multiplyBySquaring(57, 2)"
|
||||
)
|
||||
assertEquals(
|
||||
"(-57 + -57)",
|
||||
multiplyBySquaring(Expr("57"), -2).expr,
|
||||
multiplyByDoubling(Expr("57"), -2).expr,
|
||||
"tried multiplyBySquaring(57, -2)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + (57 + 57))",
|
||||
multiplyBySquaring(Expr("57"), 3).expr,
|
||||
multiplyByDoubling(Expr("57"), 3).expr,
|
||||
"tried multiplyBySquaring(57, 3)"
|
||||
)
|
||||
assertEquals(
|
||||
"(-57 + (-57 + -57))",
|
||||
multiplyBySquaring(Expr("57"), -3).expr,
|
||||
multiplyByDoubling(Expr("57"), -3).expr,
|
||||
"tried multiplyBySquaring(57, -3)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 57) + (57 + 57))",
|
||||
multiplyBySquaring(Expr("57"), 4).expr,
|
||||
multiplyByDoubling(Expr("57"), 4).expr,
|
||||
"tried multiplyBySquaring(57, 4)"
|
||||
)
|
||||
assertEquals(
|
||||
"((-57 + -57) + (-57 + -57))",
|
||||
multiplyBySquaring(Expr("57"), -4).expr,
|
||||
multiplyByDoubling(Expr("57"), -4).expr,
|
||||
"tried multiplyBySquaring(57, -4)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 5).expr,
|
||||
multiplyByDoubling(Expr("57"), 5).expr,
|
||||
"tried multiplyBySquaring(57, 5)"
|
||||
)
|
||||
assertEquals(
|
||||
"(-57 + ((-57 + -57) + (-57 + -57)))",
|
||||
multiplyBySquaring(Expr("57"), -5).expr,
|
||||
multiplyByDoubling(Expr("57"), -5).expr,
|
||||
"tried multiplyBySquaring(57, -5)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + 57) + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 6).expr,
|
||||
multiplyByDoubling(Expr("57"), 6).expr,
|
||||
"tried multiplyBySquaring(57, 6)"
|
||||
)
|
||||
assertEquals(
|
||||
"((-57 + -57) + ((-57 + -57) + (-57 + -57)))",
|
||||
multiplyBySquaring(Expr("57"), -6).expr,
|
||||
multiplyByDoubling(Expr("57"), -6).expr,
|
||||
"tried multiplyBySquaring(57, -6)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 + (57 + 57)) + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 7).expr,
|
||||
multiplyByDoubling(Expr("57"), 7).expr,
|
||||
"tried multiplyBySquaring(57, 7)"
|
||||
)
|
||||
assertEquals(
|
||||
"((-57 + (-57 + -57)) + ((-57 + -57) + (-57 + -57)))",
|
||||
multiplyBySquaring(Expr("57"), -7).expr,
|
||||
multiplyByDoubling(Expr("57"), -7).expr,
|
||||
"tried multiplyBySquaring(57, -7)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 + 57) + (57 + 57)) + ((57 + 57) + (57 + 57)))",
|
||||
multiplyBySquaring(Expr("57"), 8).expr,
|
||||
multiplyByDoubling(Expr("57"), 8).expr,
|
||||
"tried multiplyBySquaring(57, 8)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((-57 + -57) + (-57 + -57)) + ((-57 + -57) + (-57 + -57)))",
|
||||
multiplyBySquaring(Expr("57"), -8).expr,
|
||||
multiplyByDoubling(Expr("57"), -8).expr,
|
||||
"tried multiplyBySquaring(57, -8)"
|
||||
)
|
||||
}
|
||||
@ -311,47 +311,47 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"57",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 0u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 0u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 0u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * 179)",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 1u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 1u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 1u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (179 * 179))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 2u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 2u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 2u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 179) * (179 * 179))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 3u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 3u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 3u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 4u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 4u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 4u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 179) * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 5u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 5u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 5u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * (179 * 179)) * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 6u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 6u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 6u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 * 179) * (179 * 179)) * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 7u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 7u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 7u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (((179 * 179) * (179 * 179)) * ((179 * 179) * (179 * 179))))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 8u).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 8u).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 8u)"
|
||||
)
|
||||
}
|
||||
@ -361,47 +361,47 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"0",
|
||||
exponentiationBySquaring(Expr("57"), 0u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 0u).expr,
|
||||
"tried exponentiationBySquaring(57, 0u)"
|
||||
)
|
||||
assertEquals(
|
||||
"57",
|
||||
exponentiationBySquaring(Expr("57"), 1u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 1u).expr,
|
||||
"tried exponentiationBySquaring(57, 1u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * 57)",
|
||||
exponentiationBySquaring(Expr("57"), 2u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 2u).expr,
|
||||
"tried exponentiationBySquaring(57, 2u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (57 * 57))",
|
||||
exponentiationBySquaring(Expr("57"), 3u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 3u).expr,
|
||||
"tried exponentiationBySquaring(57, 3u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 57) * (57 * 57))",
|
||||
exponentiationBySquaring(Expr("57"), 4u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 4u).expr,
|
||||
"tried exponentiationBySquaring(57, 4u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 5u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 5u).expr,
|
||||
"tried exponentiationBySquaring(57, 5u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 57) * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 6u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 6u).expr,
|
||||
"tried exponentiationBySquaring(57, 6u)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * (57 * 57)) * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 7u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 7u).expr,
|
||||
"tried exponentiationBySquaring(57, 7u)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 * 57) * (57 * 57)) * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 8u).expr,
|
||||
exponentiateBySquaring(Expr("57"), 8u).expr,
|
||||
"tried exponentiationBySquaring(57, 8u)"
|
||||
)
|
||||
}
|
||||
@ -411,87 +411,87 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"57",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 0).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 0).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 0)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * 179)",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 1).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 1).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 1)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (1 / 179))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -1).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -1).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -1)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (179 * 179))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 2).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 2).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 2)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * ((1 / 179) * (1 / 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -2).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -2).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -2)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 179) * (179 * 179))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 3).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 3).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 3)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * (1 / 179)) * ((1 / 179) * (1 / 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -3).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -3).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -3)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 4).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 4).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 4)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (((1 / 179) * (1 / 179)) * ((1 / 179) * (1 / 179))))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -4).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -4).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -4)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 179) * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 5).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 5).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 5)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * (1 / 179)) * (((1 / 179) * (1 / 179)) * ((1 / 179) * (1 / 179))))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -5).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -5).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -5)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * (179 * 179)) * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 6).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 6).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 6)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * ((1 / 179) * (1 / 179))) * (((1 / 179) * (1 / 179)) * ((1 / 179) * (1 / 179))))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -6).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -6).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -6)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 * 179) * (179 * 179)) * ((179 * 179) * (179 * 179)))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 7).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 7).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 7)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 * (1 / 179)) * ((1 / 179) * (1 / 179))) * (((1 / 179) * (1 / 179)) * ((1 / 179) * (1 / 179))))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -7).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -7).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -7)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (((179 * 179) * (179 * 179)) * ((179 * 179) * (179 * 179))))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), 8).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), 8).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, 8)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * ((((1 / 179) * (1 / 179)) * ((1 / 179) * (1 / 179))) * (((1 / 179) * (1 / 179)) * ((1 / 179) * (1 / 179)))))",
|
||||
multiplyExponentiationBySquaring(Expr("57"), Expr("179"), -8).expr,
|
||||
multiplyExponentiatedBySquaring(Expr("57"), Expr("179"), -8).expr,
|
||||
"tried multiplyExponentiationBySquaring(57, 179, -8)"
|
||||
)
|
||||
}
|
||||
@ -501,87 +501,87 @@ class AlgebraicStubTest {
|
||||
ExprRing {
|
||||
assertEquals(
|
||||
"0",
|
||||
exponentiationBySquaring(Expr("57"), 0).expr,
|
||||
exponentiateBySquaring(Expr("57"), 0).expr,
|
||||
"tried exponentiationBySquaring(57, 0)"
|
||||
)
|
||||
assertEquals(
|
||||
"57",
|
||||
exponentiationBySquaring(Expr("57"), 1).expr,
|
||||
exponentiateBySquaring(Expr("57"), 1).expr,
|
||||
"tried exponentiationBySquaring(57, 1)"
|
||||
)
|
||||
assertEquals(
|
||||
"(1 / 57)",
|
||||
exponentiationBySquaring(Expr("57"), -1).expr,
|
||||
exponentiateBySquaring(Expr("57"), -1).expr,
|
||||
"tried exponentiationBySquaring(57, -1)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * 57)",
|
||||
exponentiationBySquaring(Expr("57"), 2).expr,
|
||||
exponentiateBySquaring(Expr("57"), 2).expr,
|
||||
"tried exponentiationBySquaring(57, 2)"
|
||||
)
|
||||
assertEquals(
|
||||
"((1 / 57) * (1 / 57))",
|
||||
exponentiationBySquaring(Expr("57"), -2).expr,
|
||||
exponentiateBySquaring(Expr("57"), -2).expr,
|
||||
"tried exponentiationBySquaring(57, -2)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * (57 * 57))",
|
||||
exponentiationBySquaring(Expr("57"), 3).expr,
|
||||
exponentiateBySquaring(Expr("57"), 3).expr,
|
||||
"tried exponentiationBySquaring(57, 3)"
|
||||
)
|
||||
assertEquals(
|
||||
"((1 / 57) * ((1 / 57) * (1 / 57)))",
|
||||
exponentiationBySquaring(Expr("57"), -3).expr,
|
||||
exponentiateBySquaring(Expr("57"), -3).expr,
|
||||
"tried exponentiationBySquaring(57, -3)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 57) * (57 * 57))",
|
||||
exponentiationBySquaring(Expr("57"), 4).expr,
|
||||
exponentiateBySquaring(Expr("57"), 4).expr,
|
||||
"tried exponentiationBySquaring(57, 4)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((1 / 57) * (1 / 57)) * ((1 / 57) * (1 / 57)))",
|
||||
exponentiationBySquaring(Expr("57"), -4).expr,
|
||||
exponentiateBySquaring(Expr("57"), -4).expr,
|
||||
"tried exponentiationBySquaring(57, -4)"
|
||||
)
|
||||
assertEquals(
|
||||
"(57 * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 5).expr,
|
||||
exponentiateBySquaring(Expr("57"), 5).expr,
|
||||
"tried exponentiationBySquaring(57, 5)"
|
||||
)
|
||||
assertEquals(
|
||||
"((1 / 57) * (((1 / 57) * (1 / 57)) * ((1 / 57) * (1 / 57))))",
|
||||
exponentiationBySquaring(Expr("57"), -5).expr,
|
||||
exponentiateBySquaring(Expr("57"), -5).expr,
|
||||
"tried exponentiationBySquaring(57, -5)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * 57) * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 6).expr,
|
||||
exponentiateBySquaring(Expr("57"), 6).expr,
|
||||
"tried exponentiationBySquaring(57, 6)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((1 / 57) * (1 / 57)) * (((1 / 57) * (1 / 57)) * ((1 / 57) * (1 / 57))))",
|
||||
exponentiationBySquaring(Expr("57"), -6).expr,
|
||||
exponentiateBySquaring(Expr("57"), -6).expr,
|
||||
"tried exponentiationBySquaring(57, -6)"
|
||||
)
|
||||
assertEquals(
|
||||
"((57 * (57 * 57)) * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 7).expr,
|
||||
exponentiateBySquaring(Expr("57"), 7).expr,
|
||||
"tried exponentiationBySquaring(57, 7)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((1 / 57) * ((1 / 57) * (1 / 57))) * (((1 / 57) * (1 / 57)) * ((1 / 57) * (1 / 57))))",
|
||||
exponentiationBySquaring(Expr("57"), -7).expr,
|
||||
exponentiateBySquaring(Expr("57"), -7).expr,
|
||||
"tried exponentiationBySquaring(57, -7)"
|
||||
)
|
||||
assertEquals(
|
||||
"(((57 * 57) * (57 * 57)) * ((57 * 57) * (57 * 57)))",
|
||||
exponentiationBySquaring(Expr("57"), 8).expr,
|
||||
exponentiateBySquaring(Expr("57"), 8).expr,
|
||||
"tried exponentiationBySquaring(57, 8)"
|
||||
)
|
||||
assertEquals(
|
||||
"((((1 / 57) * (1 / 57)) * ((1 / 57) * (1 / 57))) * (((1 / 57) * (1 / 57)) * ((1 / 57) * (1 / 57))))",
|
||||
exponentiationBySquaring(Expr("57"), -8).expr,
|
||||
exponentiateBySquaring(Expr("57"), -8).expr,
|
||||
"tried exponentiationBySquaring(57, -8)"
|
||||
)
|
||||
}
|
||||
|
||||
Loading…
Reference in New Issue
Block a user