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@ -105,54 +105,12 @@ public object ComplexField : ExtendedField<Complex>, Norm<Complex, Complex> {
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exp(pow * ln(arg))
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exp(pow * ln(arg))
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public override fun exp(arg: Complex): Complex = exp(arg.re) * (cos(arg.im) + i * sin(arg.im))
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public override fun exp(arg: Complex): Complex = exp(arg.re) * (cos(arg.im) + i * sin(arg.im))
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public override fun ln(arg: Complex): Complex = ln(arg.r) + i * atan2(arg.im, arg.re)
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public override fun ln(arg: Complex): Complex = ln(arg.r) + i * atan2(arg.im, arg.re)
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/**
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* Adds complex number to real one.
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*
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* @receiver the addend.
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* @param b the augend.
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* @return the sum.
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*/
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public override operator fun Number.plus(b: Complex): Complex = add(toComplex(), b)
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public override operator fun Number.plus(b: Complex): Complex = add(toComplex(), b)
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/**
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* Subtracts complex number from real one.
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*
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* @receiver the minuend.
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* @param b the subtrahend.
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* @return the difference.
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*/
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public override operator fun Number.minus(b: Complex): Complex = add(toComplex(), -b)
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public override operator fun Number.minus(b: Complex): Complex = add(toComplex(), -b)
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/**
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* Adds real number to complex one.
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*
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* @receiver the addend.
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* @param b the augend.
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* @return the sum.
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*/
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public override operator fun Complex.plus(b: Number): Complex = b + this
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public override operator fun Complex.plus(b: Number): Complex = b + this
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/**
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* Subtracts real number from complex one.
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*
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* @receiver the minuend.
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* @param b the subtrahend.
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* @return the difference.
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*/
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public override operator fun Complex.minus(b: Number): Complex = add(this, -b.toComplex())
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public override operator fun Complex.minus(b: Number): Complex = add(this, -b.toComplex())
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/**
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* Multiplies real number by complex one.
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*
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* @receiver the multiplier.
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* @param b the multiplicand.
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* @receiver the product.
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*/
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public override operator fun Number.times(b: Complex): Complex = Complex(b.re * toDouble(), b.im * toDouble())
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public override operator fun Number.times(b: Complex): Complex = Complex(b.re * toDouble(), b.im * toDouble())
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public override fun Complex.unaryMinus(): Complex = Complex(-re, -im)
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public override fun Complex.unaryMinus(): Complex = Complex(-re, -im)
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public override fun norm(arg: Complex): Complex = sqrt(arg.conjugate * arg)
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public override fun norm(arg: Complex): Complex = sqrt(arg.conjugate * arg)
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public override fun symbol(value: String): Complex = if (value == "i") i else super.symbol(value)
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public override fun symbol(value: String): Complex = if (value == "i") i else super.symbol(value)
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@ -165,50 +165,14 @@ public object QuaternionField : Field<Quaternion>, Norm<Quaternion, Quaternion>,
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return Quaternion(ln(n), th * arg.x, th * arg.y, th * arg.z)
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return Quaternion(ln(n), th * arg.x, th * arg.y, th * arg.z)
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}
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}
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/**
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* Adds quaternion to real one.
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*
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* @receiver the addend.
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* @param b the augend.
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* @return the sum.
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*/
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public override operator fun Number.plus(b: Quaternion): Quaternion = Quaternion(toDouble() + b.w, b.x, b.y, b.z)
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public override operator fun Number.plus(b: Quaternion): Quaternion = Quaternion(toDouble() + b.w, b.x, b.y, b.z)
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/**
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* Subtracts quaternion from real one.
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*
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* @receiver the minuend.
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* @param b the subtrahend.
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* @return the difference.
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*/
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public override operator fun Number.minus(b: Quaternion): Quaternion =
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public override operator fun Number.minus(b: Quaternion): Quaternion =
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Quaternion(toDouble() - b.w, -b.x, -b.y, -b.z)
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Quaternion(toDouble() - b.w, -b.x, -b.y, -b.z)
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/**
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* Adds real number to quaternion.
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*
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* @receiver the addend.
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* @param b the augend.
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* @return the sum.
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*/
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public override operator fun Quaternion.plus(b: Number): Quaternion = Quaternion(w + b.toDouble(), x, y, z)
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public override operator fun Quaternion.plus(b: Number): Quaternion = Quaternion(w + b.toDouble(), x, y, z)
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/**
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* Subtracts real number from quaternion.
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*
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* @receiver the minuend.
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* @param b the subtrahend.
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* @return the difference.
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*/
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public override operator fun Quaternion.minus(b: Number): Quaternion = Quaternion(w - b.toDouble(), x, y, z)
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public override operator fun Quaternion.minus(b: Number): Quaternion = Quaternion(w - b.toDouble(), x, y, z)
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/**
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* Multiplies real number by quaternion.
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*
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* @receiver the multiplier.
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* @param b the multiplicand.
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* @receiver the product.
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*/
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public override operator fun Number.times(b: Quaternion): Quaternion =
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public override operator fun Number.times(b: Quaternion): Quaternion =
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Quaternion(toDouble() * b.w, toDouble() * b.x, toDouble() * b.y, toDouble() * b.z)
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Quaternion(toDouble() * b.w, toDouble() * b.x, toDouble() * b.y, toDouble() * b.z)
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