Improved trigonometry operations #99

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CommanderTvis wants to merge 22 commits from adv-expr-improved-trigonometry into adv-expr
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@ -36,12 +36,10 @@ internal class FunctionalConstProductExpression<T>(
/**
* A context class for [Expression] construction.
*
* @param algebra The algebra to provide for Expressions built.
*/
interface FunctionalExpressionAlgebra<T, A : Algebra<T>> : ExpressionAlgebra<T, Expression<T>> {
/**
* The algebra to provide for Expressions built.
*/
val algebra: A
abstract class FunctionalExpressionAlgebra<T, A : Algebra<T>>(val algebra: A) : ExpressionAlgebra<T, Expression<T>> {
/**
* Builds an Expression of constant expression which does not depend on arguments.
@ -69,8 +67,8 @@ interface FunctionalExpressionAlgebra<T, A : Algebra<T>> : ExpressionAlgebra<T,
/**
* A context class for [Expression] construction for [Space] algebras.
*/
open class FunctionalExpressionSpace<T, A : Space<T>>(override val algebra: A) :
FunctionalExpressionAlgebra<T, A>, Space<Expression<T>> {
open class FunctionalExpressionSpace<T, A : Space<T>>(algebra: A) :
FunctionalExpressionAlgebra<T, A>(algebra), Space<Expression<T>> {
override val zero: Expression<T> get() = const(algebra.zero)
@ -98,7 +96,7 @@ open class FunctionalExpressionSpace<T, A : Space<T>>(override val algebra: A) :
super<FunctionalExpressionAlgebra>.binaryOperation(operation, left, right)
}
open class FunctionalExpressionRing<T, A>(override val algebra: A) : FunctionalExpressionSpace<T, A>(algebra),
open class FunctionalExpressionRing<T, A>(algebra: A) : FunctionalExpressionSpace<T, A>(algebra),
Ring<Expression<T>> where A : Ring<T>, A : NumericAlgebra<T> {
override val one: Expression<T>
get() = const(algebra.one)
@ -119,7 +117,7 @@ open class FunctionalExpressionRing<T, A>(override val algebra: A) : FunctionalE
super<FunctionalExpressionSpace>.binaryOperation(operation, left, right)
}
open class FunctionalExpressionField<T, A>(override val algebra: A) :
open class FunctionalExpressionField<T, A>(algebra: A) :
FunctionalExpressionRing<T, A>(algebra),
Field<Expression<T>> where A : Field<T>, A : NumericAlgebra<T> {
/**
@ -137,3 +135,12 @@ open class FunctionalExpressionField<T, A>(override val algebra: A) :
override fun binaryOperation(operation: String, left: Expression<T>, right: Expression<T>): Expression<T> =
super<FunctionalExpressionRing>.binaryOperation(operation, left, right)
}
inline fun <T, A : Space<T>> A.expressionInSpace(block: FunctionalExpressionSpace<T, A>.() -> Expression<T>): Expression<T> =
FunctionalExpressionSpace(this).block()
inline fun <T, A : Ring<T>> A.expressionInRing(block: FunctionalExpressionRing<T, A>.() -> Expression<T>): Expression<T> =
FunctionalExpressionRing(this).block()
inline fun <T, A : Field<T>> A.expressionInField(block: FunctionalExpressionField<T, A>.() -> Expression<T>): Expression<T> =
FunctionalExpressionField(this).block()