Arithmetic derivative: Difference between revisions
Add Scala implementation
m (→{{header|Wren}}: Changed to Wren S/H) |
(Add Scala implementation) |
||
Line 1,473:
(D for 10 ^ 19) divided by 7 is 19000000000000000000
(D for 10 ^ 20) divided by 7 is 200000000000000000000
</pre>
=={{header|Scala}}==
{{trans|Java}}
<syntaxhighlight lang="Scala">
import java.math.BigInteger
object ArithmeticDerivative extends App {
println("Arithmetic derivatives for -99 to 100 inclusive:")
for {
n <- -99 to 100
column = n + 100
} print(f"${derivative(BigInteger.valueOf(n))}%4d${if (column % 10 == 0) "\n" else " "}")
println()
val seven = BigInteger.valueOf(7)
for (power <- 1 to 20) {
println(f"D(10^$power%d) / 7 = ${derivative(BigInteger.TEN.pow(power)).divide(seven)}")
}
def derivative(aNumber: BigInteger): BigInteger = {
if (aNumber.signum == -1) {
return derivative(aNumber.negate()).negate()
}
if (aNumber == BigInteger.ZERO || aNumber == BigInteger.ONE) {
return BigInteger.ZERO
}
var divisor = BigInteger.TWO
while (divisor.multiply(divisor).compareTo(aNumber) <= 0) {
if (aNumber.mod(divisor).signum == 0) {
val quotient = aNumber.divide(divisor)
return quotient.multiply(derivative(divisor)).add(divisor.multiply(derivative(quotient)))
}
divisor = divisor.add(BigInteger.ONE)
}
BigInteger.ONE
}
}
</syntaxhighlight>
{{out}}
<pre>
Arithmetic derivatives for -99 to 100 inclusive:
-75 -77 -1 -272 -24 -49 -34 -96 -20 -123
-1 -140 -32 -45 -22 -124 -1 -43 -108 -176
-1 -71 -18 -80 -55 -39 -1 -156 -1 -59
-26 -72 -1 -61 -18 -192 -51 -33 -1 -92
-1 -31 -22 -92 -16 -81 -1 -56 -20 -45
-14 -112 -1 -25 -39 -48 -1 -41 -1 -68
-16 -21 -1 -60 -12 -19 -14 -80 -1 -31
-1 -32 -27 -15 -10 -44 -1 -13 -10 -24
-1 -21 -1 -32 -8 -9 -1 -16 -1 -7
-6 -12 -1 -5 -1 -4 -1 -1 0 0
0 1 1 4 1 5 1 12 6 7
1 16 1 9 8 32 1 21 1 24
10 13 1 44 10 15 27 32 1 31
1 80 14 19 12 60 1 21 16 68
1 41 1 48 39 25 1 112 14 45
20 56 1 81 16 92 22 31 1 92
1 33 51 192 18 61 1 72 26 59
1 156 1 39 55 80 18 71 1 176
108 43 1 124 22 45 32 140 1 123
20 96 34 49 24 272 1 77 75 140
D(10^1) / 7 = 1
D(10^2) / 7 = 20
D(10^3) / 7 = 300
D(10^4) / 7 = 4000
D(10^5) / 7 = 50000
D(10^6) / 7 = 600000
D(10^7) / 7 = 7000000
D(10^8) / 7 = 80000000
D(10^9) / 7 = 900000000
D(10^10) / 7 = 10000000000
D(10^11) / 7 = 110000000000
D(10^12) / 7 = 1200000000000
D(10^13) / 7 = 13000000000000
D(10^14) / 7 = 140000000000000
D(10^15) / 7 = 1500000000000000
D(10^16) / 7 = 16000000000000000
D(10^17) / 7 = 170000000000000000
D(10^18) / 7 = 1800000000000000000
D(10^19) / 7 = 19000000000000000000
D(10^20) / 7 = 200000000000000000000
</pre>
| |||