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C# Math.Sqrt Method
Use the Math.Sqrt method from the System namespace to compute square roots.Math.Sqrt computes a square root value at runtime. A square root is the number that, when multiplied by itself, equals the original number. Sqrt is a slower computation. It can be cached for a performance boost.
Example. The Math.Sqrt method is called with a double argument. In this program, the integer arguments to Math.Sqrt are converted to doubles at compile-time. The Sqrt method returns another double.Double
C# program that uses Math.Sqrt
using System;
class Program
{
static double[] _lookup = new double[5];
static void Main()
{
// Compute square roots by calling Math.Sqrt.
double a = Math.Sqrt(1);
double b = Math.Sqrt(2);
double c = Math.Sqrt(3);
double d = Math.Sqrt(4);
// Store square roots in lookup table.
var lookup = _lookup;
lookup[1] = a;
lookup[2] = b;
lookup[3] = c;
lookup[4] = d;
Console.WriteLine(a);
Console.WriteLine(b);
Console.WriteLine(c);
Console.WriteLine(d);
Console.WriteLine(lookup[1]);
Console.WriteLine(lookup[2]);
Console.WriteLine(lookup[3]);
Console.WriteLine(lookup[4]);
}
}
Output
1
1.4142135623731
1.73205080756888
2
1
1.4142135623731
1.73205080756888
2
Lookup tables. Here is an effective tip for performance optimization. You can cache the results of functions such as Sqrt in arrays or other lookup structures. This sometimes yields impressive performance boosts.
So: To get the Sqrt(1), you can instead use lookup[1]. This reduces a complex mathematical routine to a simple memory access.
More information about this optimization is available in the book Code Complete. And a short review of Code Complete is available on this website. As a developer, you should use a variety of reference books.
Summary. The Sqrt method implements classic mathematical functionality in the C# language. This logic can be slow. It can be effectively stored in an array (or other lookup table) and then instantly fetched.
Tip: You can research this by studying the memory hierarchy. You can also use the Math.Pow method to reverse Sqrt.
Locality of ReferenceMath.Pow© TheDeveloperBlog.com
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- C# Stopwatch Examples
- C# Stream
- C# StreamReader ReadToEnd Example (Read Entire File)
- C# StreamReader ReadToEndAsync Example (Performance)
- C# StreamReader Examples
- C# StreamWriter Examples
- C# String Append (Add Strings)
- C# String Compare and CompareTo Methods
- C# String Constructor (new string)
- C# string.Copy Method
- C# CopyTo String Method: Put Chars in Array
- C# Empty String Examples
- C# String Equals Examples
- C# String For Loop, Count Spaces in String
- C# string.Intern and IsInterned
- C# String IsUpper, IsLower
- C# String Length Property: Get Character Count
- C# String Literal: Newline and Quote Examples
- C# StringBuilder Capacity
- C# StringBuilder Clear (Set Length to Zero)
- C# StringBuilder Data Types
- C# StringBuilder Performance
- C# StringBuilder Equals (If Chars Are Equal)
- C# StringBuilder Memory
- C# StringBuilder ToString: Get String From StringBuilder
- C# StringWriter Class
- C# Sum Method: Add up All Numbers
- C# Switch Char, Test Chars With Cases
- C# Switch Enum
- C# System (using System namespace)
- C# Tag Property: Windows Forms
- C# TextInfo Examples
- C# TextReader, Returned by File.OpenText
- C# TextWriter, Returned by File.CreateText
- C# this Keyword
- C# ThreadPool
- C# Thread Join Method (Join Array of Threads)
- C# ThreadPool.SetMinThreads Method
- C# TimeZone Examples
- C# Get Title From HTML With Regex
- C# ToArray Extension Method
- C# ToCharArray: Convert String to Array
- C# ToDictionary Method
- C# Token
- C# ToList Extension Method
- C# ToLookup Method (Get ILookup)
- C# ToLower and ToUpper: Uppercase and Lowercase Strings
- ToolStripContainer Control: Dock, Properties
- C# ToolTip: Windows Forms
- C# ToString Integer Optimization
- C# ToString: Get String From Object
- C# ToTitleCase Method
- C# TrackBar: Windows Forms
- C# Tree and Nodes Example: Directed Acyclic Word Graph
- C# TreeView Tutorial
- C# Trim Strings
- C# Thread Methods
- C# History
- C# Features
- C# Variables
- C# Data Types
- C# Operators
- C# Keywords
- C# New Features | C# Version Features
- C# Programs
- C# Program to swap numbers without third variable
- C# Program to convert Decimal to Binary
- C# Program to Convert Number in Characters
- C# Program to Print Alphabet Triangle
- C# Program to print Number Triangle
- C# Program to generate Fibonacci Triangle
- C# String Compare() method
- C# String CompareOrdinal() method
- C# String CompareTo() method
- C# String Concat() method
- C# String Contains() method
- C# String CopyTo() method
- C# String EndsWith() method
- C# String Equals() method
- C# String Format() method
- C# String IndexOf() method
- C# String Insert() method
- C# String Intern(String str) method
- C# String IsInterned() method
- C# String Normalize() method
- C# String IsNullOrEmpty() method
- C# String IsNullOrWhiteSpace() method
- C# String Join() method
- C# String LastIndexOf() method
- C# String LastIndexOfAny() method
- C# String PadLeft() method
- C# String PadRight() method
- C# Nullable
- C# String Remove() method
- C# String Replace() method
- C# String Split() method
- C# String StartsWith() method
- C# String SubString() method
- C# Partial Types
- C# Iterators
- C# Delegate Covariance
- C# Delegate Inference
- C# Anonymous Types
- C# Extension Methods
- C# Query Expression
- C# Partial Method
- C# Implicitly Typed Local Variable
- C# Object and Collection Initializer
- C# Auto Implemented Properties
- C# Dynamic Binding
- C# Named and Optional Arguments
- C# Asynchronous Methods
- C# Caller Info Attributes
- C# Using Static Directive
- C# Exception Filters
- C# Await in Catch Finally Blocks
- C# Default Values for Getter Only Properties
- C# Expression Bodied Members
- C# Null Propagator
- C# String Interpolation
- C# nameof operator
- C# Dictionary Initializer
- C# Pattern Matching
- C# Tuples
- C# Deconstruction
- C# Local Functions
- C# Binary Literals
- C# Ref Returns and Locals
- C# Expression Bodied Constructors and Finalizers
- C# Expression Bodied Getters and Setters
- C# Async Main
- C# Default Expression