Karatsuba added, 2 bugs are fixed #328
@ -250,21 +250,21 @@ public interface Ring<T> : Group<T>, RingOperations<T> {
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* neutral operation for multiplication
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* neutral operation for multiplication
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*/
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*/
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public val one: T
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public val one: T
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}
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public fun T.pow(exponent: ULong): T = when {
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public fun <T> Ring<T>.pow(base: T, exponent: ULong): T = when {
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this == zero && exponent > 0UL -> zero
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this == zero && exponent > 0UL -> zero
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this == one -> this
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this == one -> base
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this == -one -> powWithoutOptimization(exponent % 2UL)
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this == -one -> powWithoutOptimization(base, exponent % 2UL)
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else -> powWithoutOptimization(exponent)
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else -> powWithoutOptimization(base, exponent)
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}
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}
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private fun T.powWithoutOptimization(exponent: ULong): T = when (exponent) {
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private fun <T> Ring<T>.powWithoutOptimization(base: T, exponent: ULong): T = when (exponent) {
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0UL -> one
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0UL -> one
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1UL -> this
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1UL -> base
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else -> {
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else -> {
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val pre = powWithoutOptimization(exponent shr 1).let { it * it }
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val pre = powWithoutOptimization(base, exponent shr 1).let { it * it }
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if (exponent and 1UL == 0UL) pre else pre * this
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if (exponent and 1UL == 0UL) pre else pre * base
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}
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}
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}
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}
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}
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@ -98,6 +98,8 @@ public class BigInt internal constructor(
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else -> BigInt(sign, multiplyMagnitudeByUInt(magnitude, other))
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else -> BigInt(sign, multiplyMagnitudeByUInt(magnitude, other))
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}
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}
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public fun pow(other: ULong): BigInt = BigIntField { pow(this@BigInt, other) }
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public operator fun times(other: Int): BigInt = when {
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public operator fun times(other: Int): BigInt = when {
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other > 0 -> this * kotlin.math.abs(other).toUInt()
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other > 0 -> this * kotlin.math.abs(other).toUInt()
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other != Int.MIN_VALUE -> -this * kotlin.math.abs(other).toUInt()
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other != Int.MIN_VALUE -> -this * kotlin.math.abs(other).toUInt()
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