How to get amount into parts with nearest 100 - c#

I am using below code to divide amount into parts
public static IEnumerable<int> DistributeInteger(double total, int divider)
{
if (divider == 0)
{
yield return 0;
}
else
{
double rest = total % divider;
double result = total / (double)divider;
for (int i = 0; i < divider; i++)
{
if (rest-- > 0)
yield return (int)Math.Ceiling(result);
else
yield return (int)Math.Floor(result);
}
}
}
and using it as follows
var test = DistributeInteger(5000, 4).ToList();
above code returning me.
1250
1250
1250
1250
(All four part sum = 5000)
but i need it as nearest 100 of each part like
1300
1300
1300
1100
If I pass
var test = DistributeInteger(5219, 5).ToList();
then it is returning
1044
1044
1044
1044
1043
(All five part sum = 5219)
but it should be
1000
1000
1000
1000
1000
219
if amount 1 to 100 for example 89 then it will return same amount which is 89,
I am trying it from morning but no luck.
as well as i checked may codes from net but it is giving only solution to get nearest 100 value of a given no.

How about this?
public static IEnumerable<int> DistributeInteger(double total, int divider)
{
int part = 100 * ((int)(50 + total / divider) / 100);
if (part == 0)
{
yield return (int)total;
yield break;
}
double runningTotal = 0;
while (runningTotal <= (total - part))
{
yield return part;
runningTotal += part;
}
if (runningTotal < total)
yield return (int) (total - runningTotal);
}
(Note: Error handling omitted for brevity.)

How about:
public static IEnumerable<int> DistributeInteger(double total, int divider)
{
// get increment to the nearest hundred
var increment = (int) Math.Round(total/ 100 / divider, MidpointRounding.AwayFromZero) * 100;
// make sure increment is non-zero
if (increment == 0) increment = 100;
var remainder = (int) total;
// subtract increment while remainder is >= zero
while (remainder >= increment){
remainder -= increment;
yield return increment;
}
// check if remainder is non-zero
if (remainder > 0)
yield return remainder;
}
Now uses Ceiling
Seems to work with midpoint rounding away from zero

What about this approach:
public static IEnumerable<int> DistributeInteger(double total, int divider)
{
if (divider == 0)
{
return null;
}
else
{
var parts = new List<int>();
var singlePart = total / divider;
singlePart = Math.Round(singlePart / 100, MidpointRounding.AwayFromZero) * 100;
while (total - singlePart > 0)
{
parts.Add((int)singlePart);
total -= singlePart;
}
// Add remainnig value.
parts.Add((int)total);
return parts;
}
}
It will work for second scenario only, for the first scenarion you'd need to use Ceiling function instead of Round.

Related

Round decimals and convert to % in C#

I have a list of probabilities like
0.0442857142857143
0.664642857142857
0.291071428571429
I want to convert them to the nearest percentages so that the sum of percentages adds up to 100
so something like this
0.0442857142857143 - 4 %
0.664642857142857 - 67 %
0.291071428571429 - 29 %
I cannot rely on Math.Round to always give me results which will add up to 1. What would be the best way to do this?
This is an method that could do the job.
public int[] Round(params decimal[] values)
{
decimal total = values.Sum();
var percents = values.Select(x=> Math.Round(x/total*100)).ToArray();
int totalPercent = perents.Sum();
var diff = 100 - totalPercent;
percents[percents.Lenght - 1] += diff;
return percents;
}
Interesting collection of answers.
The problem here is that you are getting a cumulative error in your rounding operations. In some cases the accumulated error cancels out - some values round up, others down, cancelling the total error. In other cases such as the one you have here, the rounding errors are all negative, giving an accumulated total error of (approximately) -1.
The only way to work around this in the general case is to keep track of the total accumulated error and add/subtract when that error gets large enough. It's tedious, but the only real way to get this right:
static int[] ToIntPercents(double[] values)
{
int[] results = new int[values.Length];
double error = 0;
for (int i = 0; i < values.Length; i++)
{
double val = values[i] * 100;
int percent = (int)Math.Round(val + error);
error += val - percent;
if (Math.Abs(error) >= 0.5)
{
int sign = Math.Sign(error);
percent += sign;
error -= sign;
}
results[i] = percent;
}
return results;
}
This code produces reasonable results for any size array with a sum of approximately +1.0000 (or close enough). Array can contain negative and positive values, just as long as the sum is close enough to +1.0000 to introduce no gross errors.
The code accumulates the rounding errors and when the total error exceeds the acceptable range of -0.5 < error < +0.5 it adjusts the output. Using this method the the output array for your numbers would be: [4, 67, 29]. You could change the acceptable error range to be 0 <= error < 1, giving the output [4, 66, 30], but this causes odd results when the array contains negative numbers. If that's your preference, change the if statement in the middle of the method to read:
if (error < 0 || error >= 1)
You could just multiply the number by 100 (if you have the decimal number)
0.0442857142857143 * 100 = 4 %
0.664642857142857 * 100 = 66 %
0.291071428571429 * 100 = 29 %
E: correct, 0.291071428571429 wouldn't add up to 30%...
Since you don't seem to care which number is bumped, I'll use the last. The algo is pretty simple, and will works for both the .4 edge case where you must add 1 and the one at .5 where you must remove 1 :
1) Round each number but the last one
2) Subtract 100 from the sum you have
3) Assign the remainder to the last number
As an extension method, it looks like this :
public static int[] SplitIntoPercentage(this double[] input)
{
int[] results = new int[input.Length];
for (int i = 0; i < input.Length - 1; i++)
{
results[i] = (int)Math.Round(input[i] * 100, MidpointRounding.AwayFromZero);
}
results[input.Length - 1] = 100 - results.Sum();
return results;
}
And here's the associated unit tests :
[TestMethod]
public void IfSumIsUnder100ItShouldBeBumpedToIt()
{
double[] input = new []
{
0.044,
0.664,
0.294
};
var result = input.SplitIntoPercentage();
Assert.AreEqual(100, result.Sum());
Assert.AreEqual(4, result[0]);
Assert.AreEqual(66, result[1]);
Assert.AreEqual(30, result[2]);
}
[TestMethod]
public void IfSumIsOver100ItShouldBeReducedToIt()
{
double[] input = new[]
{
0.045,
0.665,
0.295
};
var result = input.SplitIntoPercentage();
Assert.AreEqual(100, result.Sum());
Assert.AreEqual(5, result[0]);
Assert.AreEqual(67, result[1]);
Assert.AreEqual(28, result[2]);
}
Once refactored a little bit, the result looks like this :
public static int[] SplitIntoPercentage(this double[] input)
{
int[] results = RoundEachValueButTheLast(input);
results = SetTheLastValueAsTheRemainder(input, results);
return results;
}
private static int[] RoundEachValueButTheLast(double[] input)
{
int[] results = new int[input.Length];
for (int i = 0; i < input.Length - 1; i++)
{
results[i] = (int)Math.Round(input[i]*100, MidpointRounding.AwayFromZero);
}
return results;
}
private static int[] SetTheLastValueAsTheRemainder(double[] input, int[] results)
{
results[input.Length - 1] = 100 - results.Sum();
return results;
}
Logic is , Firstly we have to round off the "after decimal value" then apply round off to whole value.
static long PercentageOut(double value)
{
value = value * 100;
value = Math.Round(value, 1, MidpointRounding.AwayFromZero); // Rounds "up"
value = Math.Round(value, 0, MidpointRounding.AwayFromZero); // Rounds to even
return Convert.ToInt64(value);
}
static void Main(string[] args)
{
double d1 = 0.0442857142857143;
double d2 = 0.664642857142857;
double d3 = 0.291071428571429;
long l1 = PercentageOut(d1);
long l2 = PercentageOut(d2);
long l3 = PercentageOut(d3);
Console.WriteLine(l1);
Console.WriteLine(l2);
Console.WriteLine(l3);
}
Output
4
67
29
---
sum is 100 %

Find the number

This is a problem statement.
Consider a number 2345. If you multiply its digits then you get the number 120. Now if you again multiply digits of 120 then you will get number 0 which is a one digit number. If I add digits of 2345 then I will get 14. If I add digits of 14 then I will get 5 which is a one digit number.
Thus any number can be converted into two one digit numbers in some number of steps. You can see 2345 is converted to 0 by using multiplication of digits in 2 steps and it is converted to 5 by using addition of digits in 2 steps. Now consider any number N. Let us say that it can be converted by multiplying digits to a one digit number d1 in n1 steps and by adding digits to one digit number d2 in n2 steps.
Your task is to find smallest number greater than N and less than 1000000000 which can be converted by multiplying its digits to d1 in less than or equal to n1 steps and by adding its digits to d2 in less than or equal to n2 steps.
How to solve it in C#...
I think you're simply approaching / interpreting the problem incorrectly; here's a stab in the dark:
using System;
using System.Diagnostics;
static class Program
{
static void Main()
{
// check our math first!
// You can see 2345 is converted to 0 by using multiplication of digits in 2 steps
int value, steps;
value = MultiplyToOneDigit(2345, out steps);
Debug.Assert(value == 0);
Debug.Assert(steps == 2);
// and it is converted to 5 by using addition of digits in 2 steps
value = SumToOneDigit(2345, out steps);
Debug.Assert(value == 5);
Debug.Assert(steps == 2);
// this bit is any random number
var rand = new Random();
for (int i = 0; i < 10; i++)
{
int N = rand.Next(0, MAX);
int result = Execute(N);
Console.WriteLine("For N={0}, our answer is {1}", N, result);
}
}
const int MAX = 1000000000;
//Now consider any number N.
static int Execute(int N)
{
// Let us say that it can be converted by multiplying digits to a one digit number d1 in n1
// steps and by adding digits to one digit number d2 in n2 steps.
int n1, n2;
int d1 = MultiplyToOneDigit(N, out n1),
d2 = SumToOneDigit(N, out n2);
// Your task is to find smallest number greater than N and less than 1000000000
for (int i = N + 1; i < MAX; i++)
{
int value, steps;
// which can be converted by multiplying its digits to d1 in less than or equal to n1 steps
value = MultiplyToOneDigit(i, out steps);
if (value != d1 || steps > n1) continue; // no good
// and by adding its digits to d2 in less than or equal to n2 steps.
value = SumToOneDigit(i, out steps);
if(value != d2 || steps > n2) continue; // no good
return i;
}
return -1; // no answer
}
static int MultiplyToOneDigit(int value, out int steps)
{
steps = 0;
while (value > 10)
{
value = MultiplyDigits(value);
steps++;
}
return value;
}
static int SumToOneDigit(int value, out int steps)
{
steps = 0;
while (value > 10)
{
value = SumDigits(value);
steps++;
}
return value;
}
static int MultiplyDigits(int value)
{
int acc = 1;
while (value > 0)
{
acc *= value % 10;
value /= 10;
}
return acc;
}
static int SumDigits(int value)
{
int total = 0;
while (value > 0)
{
total += value % 10;
value /= 10;
}
return total;
}
}
There are two memory problems I can see; the first is the generation of lots of strings - you might want to approach that something like:
static int SumDigits(int value)
{
int total = 0;
while (value > 0)
{
total += value % 10;
value /= 10;
}
return total;
}
(which is completely untested)
The second problem is the huge list; you don't need to store (in lstString) every value just to find a minimum. Just keep track of the best you've done so far. Or if you need the data for every value, then: don't store them as a string. Indeed, the i can be implied anyway (from the position in the list/array), so all you would really need would be an int[] of the cnt values for every value. And int[1000000000] is 4GB just by itself, so would require the large-array support in recent .NET versions (<gcAllowVeryLargeObjects>). But much better would be: just don't store it.
But it's throwing System.OutOfMemoryException .
That simply mean you're running out of memory. Your limit is 1,000,000,000 or roughly 1G. Times 4 bytes for a string reference that's already too large for a 32 bit system. Even without the actual strings.
You can store your answers more compactly in an int[] array but that would still show the same problem.
So, lower your limit or compile and run on a 64 bit PC.
A for effort :)
Now doing together. You can of course do refactoring.
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace _17082903_smallest_greatest_number
{
class Program
{
static void Main(string[] args)
{
int N = 2344;
int n1 = 0;
int n2 = 0;
int d1 = SumDigits(N, ref n1);
int d2 = ProductDigits(N, ref n2);
bool sumFound = false, productFound = false;
for (int i = N + 1; i < 1000000000; i++)
{
if (!sumFound)
{
int stepsForSum = 0;
var res = SumDigits(i, ref stepsForSum);
if (res == d1 && stepsForSum <= n1)
{
Console.WriteLine("the smallest number for sum is: " + i);
Console.WriteLine(string.Format("sum result is {0} in {1} steps only", res, stepsForSum));
sumFound = true;
}
stepsForSum = 0;
}
if (!productFound)
{
int stepsForProduct = 0;
var res2 = ProductDigits(i, ref stepsForProduct);
if (res2 == d2 && stepsForProduct <= n2)
{
Console.WriteLine("the smallest number for product is: " + i);
Console.WriteLine(string.Format("product result is {0} in {1} steps only", res2, stepsForProduct));
productFound = true;
}
stepsForProduct = 0;
}
if (productFound && sumFound)
{
break;
}
}
}
static int SumDigits(int value, ref int numOfSteps)
{
int total = 0;
while (value > 0)
{
total += value % 10;
value /= 10;
}
numOfSteps++;
if (total < 10)
{
return total;
}
else
{
return SumDigits(total, ref numOfSteps);
}
}
static int ProductDigits(int value, ref int numOfSteps)
{
int total = 1;
while (value > 0)
{
total *= value % 10;
value /= 10;
}
numOfSteps++;
if (total < 10)
{
return total;
}
else
{
return ProductDigits(total, ref numOfSteps);
}
}
}
}

Round any n-digit number to (n-1) zero-digits

Sorry hard to formulate.
I need to round like this:
12 -> 10
152 -> 200
1538 -> 2000
25000 -> 30000
etc.
Twisting my head, but can't see how to make this. Must work for any n number of digits. Anyone got an elegant method for it?
c# or vb.net
How about this:
double num = 152;
int pow = (int)Math.Log10(num);
int factor = (int)Math.Pow(10, pow);
double temp = num / factor;
double result = Math.Round(temp) * factor;
I think you should try with something like this:
public int Round( int number)
{
int power = number.ToString().Length - 1;
int sz = Math.Pow(10, power);
int rounded = (int)Math.Round( number / sz );
return rounded * sz;
}
The idea is to get the size of the nearest 10 power, available by the length of the number expressed as a string. Then divide the number by that power, leaving it like 1,2 and then round it using the Math.Round method and restore the size by remultiplying it to the power.
Much like the previous answer...
I would do it this way:
double d = 25000;
int power = d.ToString().Length - 1;
double multipler = Math.Pow(10,power);
d = Math.Round(d / multipler) * multipler;
Console.WriteLine(d);
One of the way could be
Convert the number to Decimal
Divide it by 10^(n-1) (where n is number of digits)
Now use round function (Decimal.Round)
Multiply again by 10^(n-1)
Divide the number by 10n and round the result, then multiply the result back with 10n;
int MyRound(int num)
{
double divisor = Math.Pow(10, num.ToString().Length - 1);
return (int)(Math.Round(num / divisor, MidpointRounding.AwayFromZero) * divisor);
}
Note that we should use MidpointRounding.AwayFromZero when rounding because of the default banker's rounding.
int MakeOneSigFig(int value)
{
int neg = 1;
if(value <= 10 && value >= -10) { return value; }
if(value == int.MinValue) { value = int.MaxValue; neg = -1; }
if(value < 0) { value = -value; neg = -1; }
int mult = 10; // start at 10 because we've got 'firstDigit = value / 10' below
while(value > 99) { value /= 10; mult *= 10; }
int firstDigit = value / 10;
if(value % 10 >= 5) firstDigit++;
return neg * firstDigit * mult;
}
This is equivalent to MidpointRounding.AwayFromZero. This method doesn't do any double math or string conversions. If you didn't want to loop, you could replace that with the if block below. That would be more efficient, but more code and not quite as easy to read.
if(value < 100) { mult = 10; }
else if(value < 1000) { mult = 100; value /= 10; }
else if(value < 10000) { mult = 1000; value /= 100; }
else if(value < 100000) { mult = 10000; value /= 1000; }
// etc.

round up given number in c#

I want round up given numbers in c#
Ex:
round(25)=50
round(250) = 500
round(725) = 1000
round(1200) = 1500
round(7125) = 7500
round(8550) = 9000
Most of your data suggests that you want to round up to the nearest multiple of 500. This would be done by
int round(int input)
{
return (int)(500 * Math.Ceiling(input / 500.0));
}
The rounding of 25 to 50 will not work, though.
Another guess would be that you want your rounding to depend on the size of the number being rounded. The following function would round 25 to 50, 250 to 500, 0.025 to 0.05, and 2500 to 5000. Maybe you can work from there.
double round(double input)
{
double scale = Math.Floor(Math.Log10(input));
double step = 5 * Math.Pow(10, scale);
return step * Math.Ceiling(input/step);
}
Depending on what you need, this could be a nice, reusable solution.
static int RoundUpWeird(int rawNr)
{
if (rawNr < 100 && rawNr > -100)
return RoundUpToNext50(rawNr);
else
return RoundUpToNext500(rawNr);
}
static int RoundUpToNext50(int rawNr)
{
return RoundUpToNext(rawNr, 50);
}
static int RoundUpToNext500(int rawNr)
{
return RoundUpToNext(rawNr, 500);
}
static int RoundUpToNext(int rawNr, int next)
{
int result;
int remainder;
if ((remainder = rawNr % next) != 0)
{
if (rawNr >= 0)
result = RoundPositiveToNext(rawNr, next, remainder);
else
result = RoundNegativeToNext(rawNr, remainder);
if (result < rawNr)
throw new OverflowException("round(Number) > Int.MaxValue!");
return result;
}
return rawNr;
}
private static int RoundNegativeToNext(int rawNr, int remainder)
{
return rawNr - remainder;
}
private static int RoundPositiveToNext(int rawNr, int next, int remainder)
{
return rawNr + next - remainder;
}
This code should work according to the rules I can gather:
public static double Round(double val)
{
int baseNum = val <= 100 ? 100 : 1000;
double factor = 0.5;
double v = val / baseNum;
var res = Math.Ceiling(v / factor) / (1 / factor) * baseNum;
return res;
}
This should work. And also for numbers greater than those you wrote:
int round(int value)
{
int i = 1;
while (value > i)
{
i *= 10;
}
return (int)(0.05 * i * Math.Ceiling(value / (0.05 * i)));
}

How can you get the first digit in an int (C#)?

In C#, what's the best way to get the 1st digit in an int? The method I came up with is to turn the int into a string, find the 1st char of the string, then turn it back to an int.
int start = Convert.ToInt32(curr.ToString().Substring(0, 1));
While this does the job, it feels like there is probably a good, simple, math-based solution to such a problem. String manipulation feels clunky.
Edit: irrespective of speed differences, mystring[0] instead of Substring() is still just string manipulation
Benchmarks
Firstly, you must decide on what you mean by "best" solution, of course that takes into account the efficiency of the algorithm, its readability/maintainability, and the likelihood of bugs creeping up in the future. Careful unit tests can generally avoid those problems, however.
I ran each of these examples 10 million times, and the results value is the number of ElapsedTicks that have passed.
Without further ado, from slowest to quickest, the algorithms are:
Converting to a string, take first character
int firstDigit = (int)(Value.ToString()[0]) - 48;
Results:
12,552,893 ticks
Using a logarithm
int firstDigit = (int)(Value / Math.Pow(10, (int)Math.Floor(Math.Log10(Value))));
Results:
9,165,089 ticks
Looping
while (number >= 10)
number /= 10;
Results:
6,001,570 ticks
Conditionals
int firstdigit;
if (Value < 10)
firstdigit = Value;
else if (Value < 100)
firstdigit = Value / 10;
else if (Value < 1000)
firstdigit = Value / 100;
else if (Value < 10000)
firstdigit = Value / 1000;
else if (Value < 100000)
firstdigit = Value / 10000;
else if (Value < 1000000)
firstdigit = Value / 100000;
else if (Value < 10000000)
firstdigit = Value / 1000000;
else if (Value < 100000000)
firstdigit = Value / 10000000;
else if (Value < 1000000000)
firstdigit = Value / 100000000;
else
firstdigit = Value / 1000000000;
Results:
1,421,659 ticks
Unrolled & optimized loop
if (i >= 100000000) i /= 100000000;
if (i >= 10000) i /= 10000;
if (i >= 100) i /= 100;
if (i >= 10) i /= 10;
Results:
1,399,788 ticks
Note:
each test calls Random.Next() to get the next int
Here's how
int i = Math.Abs(386792);
while(i >= 10)
i /= 10;
and i will contain what you need
Try this
public int GetFirstDigit(int number) {
if ( number < 10 ) {
return number;
}
return GetFirstDigit ( (number - (number % 10)) / 10);
}
EDIT
Several people have requested the loop version
public static int GetFirstDigitLoop(int number)
{
while (number >= 10)
{
number = (number - (number % 10)) / 10;
}
return number;
}
The best I can come up with is:
int numberOfDigits = Convert.ToInt32(Math.Floor( Math.Log10( value ) ) );
int firstDigit = value / Math.Pow( 10, numberOfDigits );
variation on Anton's answer:
// cut down the number of divisions (assuming i is positive & 32 bits)
if (i >= 100000000) i /= 100000000;
if (i >= 10000) i /= 10000;
if (i >= 100) i /= 100;
if (i >= 10) i /= 10;
int myNumber = 8383;
char firstDigit = myNumber.ToString()[0];
// char = '8'
Had the same idea as Lennaert
int start = number == 0 ? 0 : number / (int) Math.Pow(10,Math.Floor(Math.Log10(Math.Abs(number))));
This also works with negative numbers.
If you think Keltex's answer is ugly, try this one, it's REALLY ugly, and even faster.
It does unrolled binary search to determine the length.
... leading code along the same lines
/* i<10000 */
if (i >= 100){
if (i >= 1000){
return i/1000;
}
else /* i<1000 */{
return i/100;
}
}
else /* i<100*/ {
if (i >= 10){
return i/10;
}
else /* i<10 */{
return i;
}
}
P.S. MartinStettner had the same idea.
Very simple (and probably quite fast because it only involves comparisons and one division):
if(i<10)
firstdigit = i;
else if (i<100)
firstdigit = i/10;
else if (i<1000)
firstdigit = i/100;
else if (i<10000)
firstdigit = i/1000;
else if (i<100000)
firstdigit = i/10000;
else (etc... all the way up to 1000000000)
An obvious, but slow, mathematical approach is:
int firstDigit = (int)(i / Math.Pow(10, (int)Math.Log10(i))));
int temp = i;
while (temp >= 10)
{
temp /= 10;
}
Result in temp
I know it's not C#, but it's surprising curious that in python the "get the first char of the string representation of the number" is the faster!
EDIT: no, I made a mistake, I forgot to construct again the int, sorry. The unrolled version it's the fastest.
$ cat first_digit.py
def loop(n):
while n >= 10:
n /= 10
return n
def unrolled(n):
while n >= 100000000: # yea... unlimited size int supported :)
n /= 100000000
if n >= 10000:
n /= 10000
if n >= 100:
n /= 100
if n >= 10:
n /= 10
return n
def string(n):
return int(str(n)[0])
$ python -mtimeit -s 'from first_digit import loop as test' \
'for n in xrange(0, 100000000, 1000): test(n)'
10 loops, best of 3: 275 msec per loop
$ python -mtimeit -s 'from first_digit import unrolled as test' \
'for n in xrange(0, 100000000, 1000): test(n)'
10 loops, best of 3: 149 msec per loop
$ python -mtimeit -s 'from first_digit import string as test' \
'for n in xrange(0, 100000000, 1000): test(n)'
10 loops, best of 3: 284 msec per loop
$
I just stumbled upon this old question and felt inclined to propose another suggestion since none of the other answers so far returns the correct result for all possible input values and it can still be made faster:
public static int GetFirstDigit( int i )
{
if( i < 0 && ( i = -i ) < 0 ) return 2;
return ( i < 100 ) ? ( i < 1 ) ? 0 : ( i < 10 )
? i : i / 10 : ( i < 1000000 ) ? ( i < 10000 )
? ( i < 1000 ) ? i / 100 : i / 1000 : ( i < 100000 )
? i / 10000 : i / 100000 : ( i < 100000000 )
? ( i < 10000000 ) ? i / 1000000 : i / 10000000
: ( i < 1000000000 ) ? i / 100000000 : i / 1000000000;
}
This works for all signed integer values inclusive -2147483648 which is the smallest signed integer and doesn't have a positive counterpart. Math.Abs( -2147483648 ) triggers a System.OverflowException and - -2147483648 computes to -2147483648.
The implementation can be seen as a combination of the advantages of the two fastest implementations so far. It uses a binary search and avoids superfluous divisions. A quick benchmark with the index of a loop with 100,000,000 iterations shows that it is twice as fast as the currently fastest implementation.
It finishes after 2,829,581 ticks.
For comparison I also measured a corrected variant of the currently fastest implementation which took 5,664,627 ticks.
public static int GetFirstDigitX( int i )
{
if( i < 0 && ( i = -i ) < 0 ) return 2;
if( i >= 100000000 ) i /= 100000000;
if( i >= 10000 ) i /= 10000;
if( i >= 100 ) i /= 100;
if( i >= 10 ) i /= 10;
return i;
}
The accepted answer with the same correction needed 16,561,929 ticks for this test on my computer.
public static int GetFirstDigitY( int i )
{
if( i < 0 && ( i = -i ) < 0 ) return 2;
while( i >= 10 )
i /= 10;
return i;
}
Simple functions like these can easily be proven for correctness since iterating all possible integer values takes not much more than a few seconds on current hardware. This means that it is less important to implement them in a exceptionally readable fashion as there simply won't ever be the need to fix a bug inside them later on.
Did some tests with one of my co-workers here, and found out most of the solutions don't work for numbers under 0.
public int GetFirstDigit(int number)
{
number = Math.Abs(number); <- makes sure you really get the digit!
if (number < 10)
{
return number;
}
return GetFirstDigit((number - (number % 10)) / 10);
}
Using all the examples below to get this code:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Diagnostics;
namespace Benfords
{
class Program
{
static int FirstDigit1(int value)
{
return Convert.ToInt32(value.ToString().Substring(0, 1));
}
static int FirstDigit2(int value)
{
while (value >= 10) value /= 10;
return value;
}
static int FirstDigit3(int value)
{
return (int)(value.ToString()[0]) - 48;
}
static int FirstDigit4(int value)
{
return (int)(value / Math.Pow(10, (int)Math.Floor(Math.Log10(value))));
}
static int FirstDigit5(int value)
{
if (value < 10) return value;
if (value < 100) return value / 10;
if (value < 1000) return value / 100;
if (value < 10000) return value / 1000;
if (value < 100000) return value / 10000;
if (value < 1000000) return value / 100000;
if (value < 10000000) return value / 1000000;
if (value < 100000000) return value / 10000000;
if (value < 1000000000) return value / 100000000;
return value / 1000000000;
}
static int FirstDigit6(int value)
{
if (value >= 100000000) value /= 100000000;
if (value >= 10000) value /= 10000;
if (value >= 100) value /= 100;
if (value >= 10) value /= 10;
return value;
}
const int mcTests = 1000000;
static void Main(string[] args)
{
Stopwatch lswWatch = new Stopwatch();
Random lrRandom = new Random();
int liCounter;
lswWatch.Start();
for (liCounter = 0; liCounter < mcTests; liCounter++)
FirstDigit1(lrRandom.Next());
lswWatch.Stop();
Console.WriteLine("Test {0} = {1} ticks", 1, lswWatch.ElapsedTicks);
lswWatch.Reset();
lswWatch.Start();
for (liCounter = 0; liCounter < mcTests; liCounter++)
FirstDigit2(lrRandom.Next());
lswWatch.Stop();
Console.WriteLine("Test {0} = {1} ticks", 2, lswWatch.ElapsedTicks);
lswWatch.Reset();
lswWatch.Start();
for (liCounter = 0; liCounter < mcTests; liCounter++)
FirstDigit3(lrRandom.Next());
lswWatch.Stop();
Console.WriteLine("Test {0} = {1} ticks", 3, lswWatch.ElapsedTicks);
lswWatch.Reset();
lswWatch.Start();
for (liCounter = 0; liCounter < mcTests; liCounter++)
FirstDigit4(lrRandom.Next());
lswWatch.Stop();
Console.WriteLine("Test {0} = {1} ticks", 4, lswWatch.ElapsedTicks);
lswWatch.Reset();
lswWatch.Start();
for (liCounter = 0; liCounter < mcTests; liCounter++)
FirstDigit5(lrRandom.Next());
lswWatch.Stop();
Console.WriteLine("Test {0} = {1} ticks", 5, lswWatch.ElapsedTicks);
lswWatch.Reset();
lswWatch.Start();
for (liCounter = 0; liCounter < mcTests; liCounter++)
FirstDigit6(lrRandom.Next());
lswWatch.Stop();
Console.WriteLine("Test {0} = {1} ticks", 6, lswWatch.ElapsedTicks);
Console.ReadLine();
}
}
}
I get these results on an AMD Ahtlon 64 X2 Dual Core 4200+ (2.2 GHz):
Test 1 = 2352048 ticks
Test 2 = 614550 ticks
Test 3 = 1354784 ticks
Test 4 = 844519 ticks
Test 5 = 150021 ticks
Test 6 = 192303 ticks
But get these on a AMD FX 8350 Eight Core (4.00 GHz)
Test 1 = 3917354 ticks
Test 2 = 811727 ticks
Test 3 = 2187388 ticks
Test 4 = 1790292 ticks
Test 5 = 241150 ticks
Test 6 = 227738 ticks
So whether or not method 5 or 6 is faster depends on the CPU, I can only surmise this is because the branch prediction in the command processor of the CPU is smarter on the new processor, but I'm not really sure.
I dont have any Intel CPUs, maybe someone could test it for us?
Check this one too:
int get1digit(Int64 myVal)
{
string q12 = myVal.ToString()[0].ToString();
int i = int.Parse(q12);
return i;
}
Also good if you want multiple numbers:
int get3digit(Int64 myVal) //Int64 or whatever numerical data you have
{
char mg1 = myVal.ToString()[0];
char mg2 = myVal.ToString()[1];
char mg3 = myVal.ToString()[2];
char[] chars = { mg1, mg2, mg3 };
string q12= new string(chars);
int i = int.Parse(q12);
return i;
}
while (i > 10)
{
i = (Int32)Math.Floor((Decimal)i / 10);
}
// i is now the first int
Non iterative formula:
public static int GetHighestDigit(int num)
{
if (num <= 0)
return 0;
return (int)((double)num / Math.Pow(10f, Math.Floor(Math.Log10(num))));
}
Just to give you an alternative, you could repeatedly divide the integer by 10, and then rollback one value once you reach zero. Since string operations are generally slow, this may be faster than string manipulation, but is by no means elegant.
Something like this:
while(curr>=10)
curr /= 10;
start = getFirstDigit(start);
public int getFirstDigit(final int start){
int number = Math.abs(start);
while(number > 10){
number /= 10;
}
return number;
}
or
public int getFirstDigit(final int start){
return getFirstDigit(Math.abs(start), true);
}
private int getFirstDigit(final int start, final boolean recurse){
if(start < 10){
return start;
}
return getFirstDigit(start / 10, recurse);
}
int start = curr;
while (start >= 10)
start /= 10;
This is more efficient than a ToString() approach which internally must implement a similar loop and has to construct (and parse) a string object on the way ...
Very easy method to get the Last digit:
int myInt = 1821;
int lastDigit = myInt - ((myInt/10)*10); // 1821 - 1820 = 1
int i = 4567789;
int digit1 = int.Parse(i.ToString()[0].ToString());
This is what I usually do ,please refer my function below :
This function can extract first number occurance from any string you can modify and use this function according to your usage
public static int GetFirstNumber(this string strInsput)
{
int number = 0;
string strNumber = "";
bool bIsContNo = true;
bool bNoOccued = false;
try
{
var arry = strInsput.ToCharArray(0, strInsput.Length - 1);
foreach (char item in arry)
{
if (char.IsNumber(item))
{
strNumber = strNumber + item.ToString();
bIsContNo = true;
bNoOccued = true;
}
else
{
bIsContNo = false;
}
if (bNoOccued && !bIsContNo)
{
break;
}
}
number = Convert.ToInt32(strNumber);
}
catch (Exception ex)
{
return 0;
}
return number;
}
public static int GetFirstDigit(int n, bool removeSign = true)
{
if (removeSign)
return n <= -10 || n >= 10 ? Math.Abs(n) % 10 : Math.Abs(n);
else
return n <= -10 || n >= 10 ? n % 10 : n;
}
//Your code goes here
int[] test = new int[] { -1574, -221, 1246, -4, 8, 38546};
foreach(int n in test)
Console.WriteLine(string.Format("{0} : {1}", n, GetFirstDigit(n)));
Output:
-1574 : 4
-221 : 1
1246 : 6
-4 : 4
8 : 8
38546 : 6
Here is a simpler way that does not involve looping
int number = 1234
int firstDigit = Math.Floor(number/(Math.Pow(10, number.ToString().length - 1))
That would give us 1234/Math.Pow(10, 4 - 1) = 1234/1000 = 1

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