Merge pull request #22 from Kaputchino/master

Add mathematical functions

README.md

@@ -13,12 +13,13 @@ Downloading or installing is very simple, here is how depending on your version
 1. Navigate to [the most recent release](https://github.com/sam-astro/Z-Sharp/releases) and download `ZSharp-Win-Installer.zip`.
 2. Unzip `ZSharp-Win-Installer.zip` and open the unzipped folder.
 3. Inside is a single file titled `ZSharp-Setup.exe`. Run it, and follow the setup instructions.
-4. Now that it is installed, there are a few ways to use it:
+4. If it fails to run, make sure the `MS Visual Runtime and MSVC C++ Redistribute` are installed. You can download them [here from Microsoft](https://docs.microsoft.com/en-us/cpp/windows/latest-supported-vc-redist)
+5. Now that it is installed, there are a few ways to use it:
     * (recommended) Any ZSharp file that ends with .ZS will automatically be associated with the interpreter. Just double-click it, and the interpreter will run.
     * Drag and drop any .ZS script directly onto the executable.
     * Use command line, providing path to interpreter and then to script like so:
     `> ./ZSharp.exe ./Pong-Example-Project/script.zs`
-5. Feel free to use and edit the `Pong-Example-Project`. It is a single script called `script.zs`, and you can open it with any of the methods above. It is also located on the releases page.
+6. Feel free to use and edit the `Pong-Example-Project`. It is a single script called `script.zs`, and you can open it with any of the methods above. It is also located on the releases page.
 > If you don't want to install ZSharp on your device, or you want easier acces to the executable and .DLLs, another version is provided called `ZS_Win_Base_Raw.zip`. This just contains all of the files the installer puts on your computer.
 ### Linux
 1. Install requirements:

ZSharp/ZS.h

@@ -3,6 +3,9 @@
 using namespace std;
 
 std::string ZSContents = R"(
+////////////////////////////////////////////////////////////////////////////////
+// ↓ DEFAULT BUILTIN ↓
+
 // Default variables, can be overwritten
 // if re-initialized or changed
 float PI = 3.14159265358979323846264338
@@ -138,9 +141,71 @@ func GetKey(keyName)
 	return b
 }
 
+// WIP
 //func SplitThread(function)
 //{
 //	ZS.System.SplitThread(function)
 //}
+
+
+//////////////////////////////////////////////////////
+// ↓ MADE BY KAPUTCHINO ↓
+
+// Return the number of combinations
+func Comb(n, r)
+{
+    return Perm(n, r) / Fac(r)
+}
+
+// Return the factorial of a number
+func Fac(x)
+{
+    int r = 1
+    while x > 1
+    {
+        r = r * x
+        x = x - 1
+    }
+    return r
+}
+
+// Return exp(x) by using the taylor method, not extremly accurate
+func TaylorExp(x)
+{
+    float sum = 0
+    float term = 1
+    int i = 1
+    float sumterm = 1
+    while sum != sumterm
+    {
+        sum = sumterm
+        term = term * x / i
+        i = i + 1
+        sumterm = sumterm + term
+    }
+    return sum
+}
+
+// Return the number of permutations
+func Perm(n, r)
+{
+    if n < 0 
+    {
+        ZS.System.PrintLine("n muss be superior or equal to 0")
+        return -1
+    }
+    if r < 0
+    {
+        ZS.System.PrintLine("r muss be superior or equal to 0")
+        return -1
+    }
+    if r > n
+    {
+        ZS.System.PrintLine("r muss be inferor or equal to n")
+        return -1
+    }
+    return Fac(n) / Fac(n - r)
+}
+
 )"
-;
+;