Writing a function that calculates the sum of squares within a range in one line in C

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My try

double sum_squares_from(double x, double n){

    return n<=0 ? 0 : x*x + sum_squares_from((x+n-1)*(x+n-1),n-1);

}

Instead of using loops my professor wants us to write functions like this... What the exercise asks for is a function sum_squares_from() with double x being the starting number and n is the number of number. For example if you do x = 2 and n = 4 you get 2*2+3*3+4*4+5*5. It returns zero if n == 0.

My thinking was that in my example what I have is basically x*x+(x+1)(x+1)+(x+1+1)(x+1+1)+(x+1+1+1)(x+1+1+1) = (x+0)(x+0)+(x+1)(x+1)+(x+2)(x+2)+(x+3)(x+3) = (x+n-1)^2 repeated n times where n gets decremented every time by one until it becomes zero and then you sum everything.

Did I do it right?

(if my professor seems a bit demanding... he somehow does this sort of thing all in his head without auxiliary calculations. Scary guy)


Maybe this?

double sum_squares_from(double x, double n) {
    return n <= 0 ? 0 : (x + n - 1) * (x + n - 1) + sum_squares_from(x, n - 1);
}

Number of perfect squares between two given numbers , Examples Input : a = 3, b = 8 Output : 1 The only perfect in given range is 4. Method 1 : One naive approach is to check all the numbers between a and b  C/C++ program for calling main() in main() Queries for elements having values within the range A to B in the given index range using Segment Tree; Program to find the Nth natural number with exactly two bits set; How to iterate through a Vector without using Iterators in C++; Average of Cubes of first N natural numbers


It's not recursive, but it's one line:

int 
sum_squares(int x, int n) {
  return ((x + n - 1) * (x + n) * (2 * (x + n - 1) + 1) / 6) - ((x - 1) * x * (2 * (x - 1) + 1) / 6);
}

Sum of squares (of integers) has a closed-form solution for 1 .. n. This code calculates the sum of squares from 1 .. (x+n) and then subtracts the sum of squares from 1 .. (x-1).

Minimum number of squares whose sum equals to given number n , A number can always be represented as a sum of squares of other numbers. For example, when we start from n = 6, we can reach 4 by subtracting one 2 times​  C Program to Calculate the Sum of Natural Numbers In this example, you will learn to calculate the sum of natural numbers entered by the user. To understand this example, you should have the knowledge of the following C programming topics:


Loops - Mathematical Python, We prefer for loops over while loops because of the last point. Intialize an empty list squares = [] for d in range(1,11): # Append the next The purpose of list comprehensions is to simplify and compress the syntax into a one-line For example, here are two ways to write a function which computes the sum of squares. I'm trying to write a function sum_of_squares(xs) that computes the sum of the squares of the numbers in the list xs. For example, sum_of_squares([2, 3, 4]) should return 4+9+16 which is 29: Here's what I tried:


As mentioned in my original comment, n should not be type double, but instead be type int to avoid floating point comparison problems with n <= 0. Making the change and simplifying the multiplication and recursive call, you do:

double sum_squares_from(double x, int n)
{
    return n <= 0 ? 0 : x * x + sum_squares_from (x + 1, n - 1);
}

If you think about starting with x * x and increasing x by 1, n times, then the simple x * x + sum_squares_from (x + 1, n - 1) is quite easy to understand.

Tutorial 3 Solutions, Design and write a program that reads in an integers and prints out that many Consider an algorithm for the sum of squares given input integer k . Modify your C code so that your program, after printing a number and its square on a line​, prints the This will access a value that is not within the boundaries of the array​. Improve this sample solution and post your code through Disqus. Previous: Write a program in C# Sharp to create a user define function with parameters. Next: Write a program in C# Sharp to create a function to input a string and count number of spaces are in the string.


Sum of Squares Definition, Sum of squares is a statistical technique used in regression analysis to to determine how well a data series can be fitted to a function that might help For example, if an analyst wanted to know whether the share price of In statistics speak, if the line in the linear model created does not A · B · C · D · E  The second term is the sum of squares due to regression, or SSR. It is the sum of the differences between the predicted value and the mean of the dependent variable . Think of it as a measure that describes how well our line fits the data .


An Introduction to C Programming for First-time Programmers, Let's begin by writing our first C program that prints the message "Hello, world!" on the We invoke the function printf() to print the string "Hello, world! We first declare three int (integer) variables: integer1 , integer2 , and sum . to find the sum of the square of all the numbers from 1 to an upperbound, i.e. 1*1 + 2*2 + 3*​3 +. Statisticians and scientists usually add one more step to produce a number that has the same units as each of the measurements. The step is to take the square root of the sum of squares. This number is the standard deviation, and it denotes the average amount each measurement deviated from the mean.


Sum of n squares (part 1) (video), Evaluating series using the formula for the sum of n squares Proof for a quadratic equation Duration: 6:16 Posted: Jul 20, 2015 ANOVA Calculator: One-Way Analysis of Variance Calculator This One-way ANOVA Test Calculator helps you to quickly and easily produce a one-way analysis of variance (ANOVA) table that includes all relevant information from the observation data set including sums of squares, mean squares, degrees of freedom, F- and P-values.