C/C++ :: Approximate Sine Function With Taylor Series
Dec 22, 2014
Write a C program with a separate function which calculates the sine function from the first principles according to the formula below. The code should find the sine value in 5 stages and then final answer
formula below :
sin(x) = x βx3/3!+x5/5!βx7/7!+x9/9!
I have done the code and it just gives me a final sine wave
it should find a error then plus one so on till it gets the answer
Link:
These are images of what it should look like and the image of a the formula ....
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Feb 25, 2015
Write a function that computes the Taylor series expansion of ex using the following formula, where x is the exponent, and n is the number of discrete trials to run:
ππ₯=1+π₯+π₯2+π₯3+π₯4+β―+π₯π =βπ π₯π 2! 3! 4! π! π=0 π!
NOTE: This formula will NOT work if you calculate the numerator and denominator separately and then add the division result. You must use your knowledge of algebra to make sure youβre not calculating the entire exponent and factorial, but rather their factors per loop iteration.
Input prompt
Enter the values for x and n:
Output Prompt
Taylor series estimation is XXXX.XXXX
This is what I have so far for the function:
void getTaylor() {
double estimation
cout << "Enter the values for x and n:" << endl;
cin >> x >> n;
cout << "Taylor series estimation is" <<
}
I now need to create the loop so that I can enter in for my function.
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Feb 5, 2015
I'm trying to write a program to find values for arctan of x by using taylor series. An initial value of x is given by the user and then it should print solutions from arctan(x) to arctan(1) in increments of x+0.1. It prints correctly but gives incorrect values after the initial x. I'm new to c and need some way to 'reset' the functions f1 and f2 for each increment of x (I think...)
Here's the code
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <iostream>
#include <fstream>
using namespace std;
int main() {
/* Define the beginning of the program and each variable. Also opens a text file to be written to */
FILE *f = fopen("arctan.txt", "w");
[Code] ....
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Mar 10, 2015
I need to be able to test this algorithm 50 times including extremes and invalid inputs.
I keep getting invalid input
#include <stdio.h>
#include <math.h>
void main() {
double x, i, y, z;
int N, n;
printf("Enter limit polynomial N
[code]....
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May 21, 2014
I'm having trouble with getting a sine function to work. All variables are defined earlier in the same section. I have the code in a button (where I figured it would go) but I get the following error:
WindowsFormsApplication2.Math does not contain a definition for 'Sin'
For reference, I am using Microsoft Visual Studio Express 2013, and am coding a Windows Forms Application.
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
[Code] ....
I've tried other functions as well (abs, sqrt, etc.) to no avail, as Math only seems to pop up with two options: Equals and ReferenceEquals.
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Nov 10, 2012
My assignment is to create a C++ Program to find the sine of a number without any library other than iostream by using Taylor Series:
sin (x) = (x/1!) - (x^3/3!) + (x^5/5!) - (x^7/7!) + (x^9/9!) ...... (x^n/n!).
Here is what i have done till now:
#include <iostream>
double fact (int f); //declaration of factorial function
double power(double x, int y); //declaration of power function
double sin(int x); //declaration of sine function
//double cos(int x); //declaration of cosine function
//double tan(int x); //declaration of tangent function
[code]....
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Oct 23, 2014
How to remake the code that i`ve written to have : a recursive function to evaluate the first n terms in series specified y= 1 - x + x^2/2 - x^3/6 + x^4/24 +....+(-1)^n x^n/n!
And this is my code:
#include <iostream>
using namespace std;
double power(int n, double x) {
double d =1;
for (int i = 1 ; i<=n ; i++)
[Code] ....
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Jul 12, 2013
I'm trying to write a program to calculate an approximate value of e using the formula e = 1 + 1/1! + 1/2! + ....... 1/n!...However, I'm always getting nearly 2.291481 as answer.Here is my code :
Code:
//Approximate the value of e
#include <stdio.h>
int main(void) {
int n, j;
printf("Please enter value of n : ");
scanf("%d", &n);
[code]....
I know I'm not supposed to use system("PAUSE"), but this is self-study.
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Feb 24, 2013
I was given a question in my programming class to create a program to find the factorial of any number greater than zero and to use Gosper's formula to approximate it.
Code:
#include <stdio.h>
#include <math.h>
#define PI 3.14159265
double equation(int n);
int
[Code] ....
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Nov 23, 2012
I have an extra credit project where I'm supposed to calculate an approximate the user's age based on the current date and their birthday. My problem is that I am not getting the proper date and time. C++ keeps giving me some random date. I looked up c++ time format on the internet because this is extra credit and not in my book.
I am currently using dev C++ 4.9.9.2. Here is my current code :
// included libraries
#include <cstdlib>
#include <iostream>
#include <iomanip>
#include <time.h>
#define cls system("cls")
#define pauseOutput system("pause")
void printM(int x);
void age(int m, int d, int y, int &yearAge, int &monthAge, int &dayAge);
[Code] ....
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Aug 19, 2013
I am trying to write a menu program that will be broken down into a series of calls to function for each of the menu items. Two of the menu items will be simple programs which I wrote.
I want two of the functions to run one of the two programs I am trying to include as items in the menu.
So far I am only familiar with variables, loops, if statements, and I just learned how to write functions.
The problem I am have is that I don't quite understand how to write a function that will run one of the two programs. Also I am having a hard time writing the program in away that would allow the user to select the menu items.
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Apr 24, 2012
I have the following initial code:
Code:
double objectAngle = -90.0f;
double objectSpeed = 3.0f; // meters per second
double objectDistance = 300.0f;
double objectTime = 0.0f;
double objectHeading = 90.0f;
double elapsedTimePerCycle = 1.0f;
My coordinate system looks like this:
Code:
90 y
|
|
|
+-180 -------------------- 0 x
|
|
|
-90
I want to calculate a new x,y such that it follows a sine wave like pattern until it gets to point (0,0). I want the width of the arc to go out to about -45 degrees, and the same on the other side to about -135 degrees.
How can I compute these new x,y coordinates in C++?
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May 4, 2014
I am currently working on an arcade game for my final assignment this year. I am struggling to get a sine wave movement with the saucer. Here is the code for it:
void ArcadeGame::spawnSaucer() {
Texture* pTexture = getTexture("saucertexture");
m_pSaucer = new GameObject(pTexture, "saucer");
m_pSaucer -> setPosition(1000, 300);
m_pSaucer -> setVelocity(-1, 10 * sin(1 * 3 * PI / 180), sin(1) * OBJECT_DEFAULT_SPEED);
addGameObject(m_pSaucer);
m_pSaucer->setSolid(true);
}
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Apr 21, 2014
#include <cstdlib>
#include <iostream>
#include <math.h>
#include <cstdio>
#include <stdio.h>
#include "dp_lib.h"
int main() {
int A =1;
[Code]...
im new to coding but ive written this code for an assignment and it creates 2 sine waves and adds them together but i want to be able to create a range of different sine waves at different frequencies and play them one after the other like in my code,but with the end result being that i would like each sine wave to represent a different note, so when your on the the console screen the user will be able to choose from a select number of notes and input them in any order so that the WAV file produced plays the sine waves in the order the user chooses so they can make a simple tune. but my code only plays it in the order it is in the code
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Apr 26, 2013
I am basically trying to make a program for a calculator. I am struggling with how to do the sine calculation. this calculation will take place at line 158.
#include <iostream>
#include <cmath>
using namespace std;
int main() {
double firstNumber = 0.0;
double secondNumber = 0.0;
char operation =' ';
[Code] ....
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Apr 18, 2014
#include <cstdlib>
#include <iostream>
#include <math.h>
#include <cstdio>
#include <stdio.h>
#include "dp_lib.h"
int main() {
int A =1;
float* data;
[Code] ...
I am doing ive written this code that creates 2 sine waves and adds them together but my question is that im trying to write a code where i can create multiple sine waves assign each sine wave to a separate values (musical notes ie A B C) and then be able to add them together in any order to create a tune.
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Mar 7, 2014
I need to create a sinewave. I have the values in an Excel file. The code reads the excel file and prints the values in the cmd but I need it to print back into excel as a sine wave. Pretty sure its currently values for a triangle wave but whatever I want a wave before I care about the type.
Description: Creates an array of values of a triangle wave, prints the result to the screen and creates a CSV (comma separated variable) file of data points. Allows user to enter number of amplitude and number of cycles
#include <stdio.h>
#include <stdlib.h>
#include <conio.h>
#define N_SAMPLES 1000 // crashes if array size > 1000?
#define UP 1
#define DOWN 0
[Code] ....
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Jun 3, 2013
I am writing a program to solve a triangle. Given any three pieces of information, find the other three. I am having trouble with SSA. I use the cosine law to find the unknown side. Then I use the sine law to find the other two angles. The sine law will give me each of the other angles. If one of the unknown angles is over 90 degrees, my program gives an angle as under 90 degrees. Not surprisingly, the correct angle and my wrong angle add up to 180 degrees. If you draw out the triangle you can deduce the right answer. How to have my program find out when the angle needs to be over 90 degrees.
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Oct 29, 2014
I have two numbers and a number that is final number. Which number is approximate the final number ?
For example:
Our final number is : -1/2 and the two numbers is 4 and 3. How can I compare it ?
Or i have numbers more than two like 5 number or 7 number or so foth numbers and final number is : -1/2
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Feb 26, 2013
Why isn't this program working?
#include<iostream.h>
#include<conio.h>
void main() {
clrscr();
int n;
float x, t, sum=0;
[Code] ......
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Oct 1, 2014
Write a program that approximates the value of Ο using the Leibniz series and compares the Leibniz series approximation against the known value of Ο and two other common approximations of Ο (22/7 and 355/113). The program must prompt the user for the desired number of terms (n) to use in the approximation (as an integer) and calculate the approximate value of Ο to the given number of terms. The program must display each approximation of Ο and display the difference between each approximation.
I understand how to prompt for the number, what I don't even get how to start is to use it to approximate the value of pie in that given number. Also how to tell the difference between each approximation...
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Oct 11, 2014
I can't seem to get the math portion right. It is supposed to approximate pi using (sigma,i=-1 to infinity)(-1)^(i+1)(4/(2i-1))=4(terms of pi). And what I have does some math but it is incorrect because I get a negative value for pi and one that is entirely too large at that. The precision is also to be at 20 decimal places. I also need it to end immediately after if I get an invalid input, but I can't seem to get it to end after trying a few different things it will say that it is an invalid number, but will continue to run the math loop. I also need the final cout to print all the terms that is multiplied by 4.
[code]#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std;
int main() {
int nterm, numerator;
double sum = 0.0;
const int upperBound = nterm * 2;
cout<<"This program approximates pi using an n-term series expansion. "<<endl;
[code]....
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Mar 3, 2013
in code my prompt said :
(computing Ξ (PI) ) You can approximate (PI) value by using the following
series:
Ξ = 4( 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ... - 1/(2i -1) + 1/(2i + 1)
Write a method that calculate value of Ο by using the above series, using
the following header:
public static double pi()
assume i = 1000000
ok so I have been testing it but I really did get any far :
for ( double i = 1; i< 1000000; i+=2) {
// with these I try to increment the value of i to get to the series. I did these after and test it and the output is all wrong and I know it
sum = (1/((2*i)+1));
sum = sum + (1/((2*i)-1));
sum ++;
double pi = 4*(sum);
// I know is wrong I but I can't figure it out what to do.
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Dec 8, 2014
I want to write an algorithm to find the kth term of a series given by the following recursive formula:
a_0=1 and a_(k+1)=a_k+1/k!
My code (part of it responsible for calculating the value of a series) does not want to compile:
Code:
float series(int n)
{
float F0 = 1;
float F;
unsigned int i;
if (n == 0)
return(1);
[Code]...
thus my question is why it does not want to work properly and what should i change (for certain factorial function is OK)?
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Mar 30, 2014
create a program that trigonometric series β(k-3)sin(Ο/k-3) with k = 4 until 13..
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Sep 29, 2014
I'm attempting to print a series of text from this loop, but for some reason all I am getting is the sum total and the number 1, like this
1 5175.11
When I want to get it for each iteration of the loop. I've cycled over this and compared it to my other loops I've used and I'm lost as to why this isn't working. I also tried using a do while but that didn't work as well.
for (double total1 = 0; total1 < goal; total1 + save_amt) {
total2 = ((factor - one) * save_amt);
total3 = (total2 / fr_interest);
total1 = total1 + total3;
months_dis = (months_dis + one);
cout << months_dis << " " << total1 << endl;
}
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