View Category
Numbers
Mathematical

Find the distance between two points

ruby
# the hypotenuse sqrt(x**2+y**2)
distance = Math.hypot(x2-x1,y2-y1)
csharp
System.Drawing.Point p = new System.Drawing.Point(13, 14),
p1 = new System.Drawing.Point(10, 10);
double distance = Math.Sqrt(Math.Pow(p1.X - p.X, 2) + Math.Pow(p1.Y - p.Y, 2)));
clojure
(defstruct point :x :y)

(defn distance
"Euclidean distance between 2 points"
[p1 p2]
(Math/pow (+ (Math/pow (- (:x p1) (:x p2)) 2)
(Math/pow (- (:y p1) (:y p2)) 2))
0.5))

(distance (struct point 0 0) (struct point 1 1)) ; => 1.4142135623730951
(defn distance
"Euclidean distance between 2 points"
[[x1 y1] [x2 y2]]
(Math/sqrt
(+ (Math/pow (- x1 x2) 2)
(Math/pow (- y1 y2) 2))))

(distance [2 2] [3 3])
fsharp
let distance' = distance (34, 78) (67, -45)
printfn "%3.2f" distance'
cpp
Point p1 = {34, 78}, p2 = {67, -45};
double distance = ::distance(p1, p2);
Console::WriteLine("{0,3:F2}", distance);
go
import "fmt"
import "math"

type Point struct {
x, y float64
}

func (p Point) distance(other Point) (float64) {
dx := p.x - other.x
dy := p.y - other.y
return math.Sqrt(dx * dx + dy * dy)
}

func main() {
origin := Point{ 0, 0 }
point := Point{ 1, 1 }

fmt.Println(point.distance(origin))
}
Output

Zero pad a number

Given the number 42, pad it to 8 characters like 00000042
ruby
42.to_s.rjust(8,"0")
"%08d" % 42
csharp
string.Format("{0,8:D8}", 42);
clojure
(defn pad
([x] (if (> 8 (.length (str x))) (pad (str 0 x)) (str x)))
)
(defn pad [x]
(format "%08d" x))
(format "%08d" 42)
fsharp
printfn "%08d" 42
let formatted = sprintf "%08d" 42
printfn "%s" formatted
let buffer = new StringBuilder()
Printf.bprintf buffer "%08d" 42
printfn "%s" (buffer.ToString())
let formatted = String.Format("{0,8:D8}", 42)
Console.WriteLine(formatted)
let formatted = Convert.ToString(42).PadLeft(8, '0')
Console.WriteLine(formatted)
cpp
String^ formatted = Convert::ToString(42)->PadLeft(8, '0');
String^ formatted = String::Format("{0,8:D8}", 42);
std::printf("%08d", 42);
std::ostringstream os;
os << std::setw(8) << std::setfill('0') << 42 << std::ends;
std::cout << os.str() << std::endl;
std::cout << boost::format("%|08|") % 42 << std::endl;
go
fmt.Printf("%08d", 42)

Right Space pad a number

Given the number 1024 right pad it to 6 characters "1024  "
ruby
1024.to_s.ljust(6)
csharp
public class NumberRightPadding {
public static void Main() {
string withStringDotFormat = string.Format("{0,-6}", 1024);
string withToStringDotPadRight = 1024.ToString().PadRight(6);
}
}
clojure
(let [s (str 1024)
l (count s)]
(str s (reduce str (repeat (- 6 l) " "))))
fsharp
printfn "%-6d" 1024
let formatted = String.Format("{0,-6:D}", 1024)
Console.WriteLine(formatted)
let formatted = Convert.ToString(1024).PadRight(6)
Console.WriteLine(formatted)
cpp
String^ formatted = Convert::ToString(1024)->PadRight(6);
String^ formatted = String::Format("{0,-6:D}", 1024);
std::printf("%-6d\n", 1024);
std::ostringstream os;
os << std::setw(6) << std::setfill(' ') << std::left << 1024 << std::ends;
std::cout << os.str() << std::endl;
std::cout << boost::format("%|-6|") % 1024 << std::endl;
go
fmt.Printf("%-6d", 1024)

Format a decimal number

Format the number 7/8 as a decimal with 2 places: 0.88
ruby
(7.0/8.0*100).round/100.0
(7.0/8.0).round(2)
csharp
public class FormatDecimal {
public static void Main() {
decimal result = decimal.Round( 7 / 8m, 2);
System.Console.WriteLine(result);
}
}
clojure
(format "%3.2f" (/ 7.0 8))
(* 0.01 (Math/round (* 100 (float (/ 7 8)))))
fsharp
printfn "%3.2f" (0.7 / 0.8)
let formatted = String.Format("{0,3:F2}", (0.7 / 0.8))
Console.WriteLine(formatted)
cpp
String^ formatted = String::Format("{0,3:F2}", result);
Console::WriteLine("{0,3:F2}", (7. / 8.));
std::printf("%3.2f\n", result);
std::ostringstream os;
os.width(3); os.fill('0'); os.setf(std::ios::fixed|std::ios::showpoint); os.precision(2);
os << result << std::ends;
std::cout << os.str() << std::endl;
std::cout << boost::format("%|3.2f|") % result << std::endl;
go
fmt.Printf("%.2f", 7.0 / 8.0)

Left Space pad a number

Given the number 73 left pad it to 10 characters "        73"
ruby
73.to_s.rjust(10)
csharp
public class NumberLeftPadding {
public static void Main() {
string withStringDotFormat = string.Format("{0,10}", 73);
string withToStringDotPadLeft = 73.ToString().PadLeft(10);
}
}
clojure
(let [s (str 73)
l (count s)]
(str (reduce str (repeat (- 10 l) " ")) s ))
fsharp
let formatted = sprintf "%10d" 73
printfn "%s" formatted
let formatted = String.Format("{0,10:D}", 73)
Console.WriteLine(formatted)
let formatted = Convert.ToString(73).PadLeft(10)
Console.WriteLine(formatted)
cpp
String^ formatted = Convert::ToString(73)->PadLeft(10);
String^ formatted = String::Format("{0,10:D}", 73);
std::printf("%10d\n", 73);
std::ostringstream os;
os << std::setw(10) << std::setfill(' ') << 73 << std::ends;
std::cout << os.str() << std::endl;
std::cout << boost::format("%|10|") % 73 << std::endl;
go
fmt.Printf("%10d", 73)
Random

Generate a random integer in a given range

Produce a random integer between 100 and 200 inclusive
ruby
randomInt = rand(200-100+1)+100;
csharp
System.Random r = new System.Random();
int random = r.Next(100,201);
clojure
(+ (rand-int (- 201 100)) 100)
fsharp
let rnd = new Random()
let rndInt = rnd.Next(100, 201)
cpp
Random^ rnd = gcnew Random;
int rndInt = rnd->Next(100, 201);
std::srand(std::time(NULL));

unsigned lb = 100, ub = 200;
unsigned rnd = lb + (rand() % ((ub - lb) + 1));
typedef boost::uniform_int<> Distribution;
typedef boost::mt19937 RNG;

Distribution distribution(100, 200);
RNG rng; rng.seed(std::time(NULL));
boost::variate_generator<RNG&, Distribution> generator(rng, distribution);

unsigned rnd = generator();
go
rand.Intn(100) + 100

Generate a repeatable random number sequence

Initialise a random number generator with a seed and generate five decimal values. Reset the seed and produce the same values.
ruby
srand(12345)
first = (1..5).collect {rand}
srand(12345)
second = (1..5).collect {rand}
puts first == second
csharp
using System;

public class RepeatableRandom {
public static void Main() {
var r = new Random(12); // seed is 12

for (int i = 0; i < 5; i++)
Console.WriteLine(r.Next());

r = new Random(12);

for (int i = 0; i < 5; i++)
Console.WriteLine(r.Next());
}
}

clojure
(dotimes [_ 2]
(let [r (java.util.Random. 12345)]
(dotimes [_ 5]
(println (.nextInt r 100))))
(println))
fsharp
let (seed, lb, ub) = (12345, 100, 200)

let mutable rnd = new Random(seed)
for i = 1 to 5 do printf "%d " (rnd.Next(lb, ub + 1)) done ; printfn ""

rnd <- new Random(seed)
for i = 1 to 5 do printf "%d " (rnd.Next(lb, ub + 1)) done ; printfn ""
cpp
void printAction(int i) { Console::Write("{0} ", i); }

array<int>^ genFillRand(array<int>^ arr, Random^ rnd, int lb, int ub)
{
for (int i = 0; i < arr->Length; ++i) arr[i] = rnd->Next(lb, ub + 1); return arr;
}

int main()
{
array<int>^ arr1 = genFillRand(gcnew array<int>(5), gcnew Random(12345), 100, 200);
array<int>^ arr2 = genFillRand(gcnew array<int>(5), gcnew Random(12345), 100, 200);

Action<int>^ print = gcnew Action<int>(printAction);
Array::ForEach<int>(arr1, print); Console::WriteLine();
Array::ForEach<int>(arr2, print); Console::WriteLine();
}
typedef boost::uniform_int<> Distribution;
typedef boost::mt19937 RNG;

Distribution distribution(100, 200);
RNG rng;
boost::variate_generator<RNG&, Distribution> generator(rng, distribution);

rng.seed(42L);
std::generate_n(std::ostream_iterator<unsigned>(std::cout, " "), 5, generator);

rng.seed(42L);
std::cout << std::endl;
std::generate_n(std::ostream_iterator<unsigned>(std::cout, " "), 5, generator);
go
rand.Seed(0xdeadbeef)
for i := 0; i < 5; i++ {
fmt.Printf("%v ", rand.Int())
}
fmt.Println()

rand.Seed(0xdeadbeef)
for i := 0; i < 5; i++ {
fmt.Printf("%v ", rand.Int())
}
fmt.Println()