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package fuookami.ospf.kotlin.utils.math
import fuookami.ospf.kotlin.utils.operator.*
@Throws(IllegalArgumentException::class)
private fun getProgressionLastElement(
start: I,
end: I,
step: I,
constants: RealNumberConstants
): I where I : PlusGroup, I : Integer, I : Rem = when {
step > constants.zero -> {
if (start >= end) end
else end - (end - start) % step
}
step < constants.zero -> {
if (start <= end) end
else end + (start - end) % -step
}
else -> throw IllegalArgumentException("Step is zero.")
}
internal class IntegerIterator(
first: I,
last: I,
val step: I,
constants: RealNumberConstants
) : Iterator where I : Integer {
private val finalElement: I = last
private var hasNext: Boolean = if (step > constants.zero) {
first <= last
} else {
first >= last
}
private var next: I = if (hasNext) {
first
} else {
finalElement
}
override fun hasNext() = hasNext
override fun next(): I {
val value = next
if (value == finalElement) {
if (!hasNext) {
throw kotlin.NoSuchElementException()
} else {
hasNext = false
}
} else {
next += step
}
return value
}
}
class IntegerRange(
override val start: I,
override val endInclusive: I,
val step: I,
private val constants: RealNumberConstants
) : Iterable, ClosedRange where I : Integer, I : PlusGroup, I : Rem {
init {
@Throws(IllegalArgumentException::class)
if (step == step.constants.zero) {
throw IllegalArgumentException("Step must be non-zero.")
}
@Throws(IllegalArgumentException::class)
if (step == step.constants.minimum) {
throw IllegalArgumentException("Step must be greater than ${step.javaClass}.minimum to avoid overflow on negation.")
}
}
val first: I by ::start
val last: I by lazy { getProgressionLastElement(start, endInclusive, step, constants) }
override fun iterator(): Iterator = IntegerIterator(first, last, step, constants)
override fun contains(value: I) = if (step > constants.zero) {
first <= value && value <= last
} else {
last <= value && value <= first
}
override fun isEmpty() = if (step > constants.zero) {
first > last
} else {
first < last
}
override fun toString(): String = if (step > constants.zero) {
"$first..$last step $step"
} else {
"$first downTo $last step ${-step}"
}
}
internal class NumericIntegerIterator(
first: I,
last: I,
step: I,
constants: RealNumberConstants,
val ctor: (I) -> NI
) : Iterator where I : Integer {
private val impl: IntegerIterator by lazy { IntegerIterator(first, last, step, constants) }
override fun hasNext() = impl.hasNext()
override fun next(): NI = ctor(impl.next())
}
class NumericUIntegerRange(
override val start: NI,
override val endInclusive: NI,
_step: NI,
private val constants: RealNumberConstants,
private val ctor: (I) -> NI,
private val converter: (NI) -> I
) : Iterable, ClosedRange
where NI : NumericUIntegerNumber, I : UIntegerNumber, I : PlusGroup, I : Rem {
val step: I by lazy { converter(_step) }
init {
@Throws(IllegalArgumentException::class)
if (step == step.constants.zero) {
throw IllegalArgumentException("Step must be non-zero.")
}
@Throws(IllegalArgumentException::class)
if (step == step.constants.minimum) {
throw IllegalArgumentException("Step must be greater than ${step.javaClass}.minimum to avoid overflow on negation.")
}
}
val first: I by lazy { converter(start) }
val last: I by lazy { getProgressionLastElement(converter(start), converter(endInclusive), step, constants) }
override fun iterator(): Iterator = NumericIntegerIterator(first, last, step, constants, ctor)
override fun contains(value: NI): Boolean {
val actualValue = converter(value)
return if (step > constants.zero) {
actualValue in first..last
} else {
actualValue in last..first
}
}
override fun isEmpty() = if (step > constants.zero) {
first > last
} else {
first < last
}
override fun toString(): String = if (step > constants.zero) {
"$first..$last step $step"
} else {
"$first downTo $last step ${-step}"
}
}