Source Code for Trigamma Function in C

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In summary, the trigamma function is a special mathematical function used in various fields such as statistics and quantum mechanics. Its source code in C is important for researchers and developers to understand and modify the function, and can be found in libraries and online sources. The implementation of the function in C varies and may have limitations such as accuracy and compatibility. It is important to carefully review and test the code before use.
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Alamino
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Trigamma Function in C

Does anyone know where can I find the source code for calculating numerically the trigamma function? Or does anyone know the source code itself?

Thanks.
 
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You might be able to find some code on the net. The standard package used is imsl, but it costs a few bucks to use.

JMD
 
  • #3


Here is a simple implementation of the trigamma function in C:

#include <math.h>

double trigamma(double x) {
double result = 0.0;
double n = 1.0;
double term = 0.0;
double epsilon = 1e-8; // desired accuracy

while (fabs(term) >= epsilon) {
term = 1 / (x + n) / (x + n);
result += term;
n++;
}
return result;
}

int main() {
double x = 1.5; // input value
double result = trigamma(x);
printf("The trigamma function of %.2f is %.6f\n", x, result);
return 0;
}

This code uses a while loop to iteratively calculate the sum of terms in the trigamma function until the desired accuracy is reached. It also includes a simple test case in the main function to demonstrate its usage. Keep in mind that this is just one possible implementation and there may be more efficient or accurate ways to calculate the trigamma function.
 

1. What is the trigamma function?

The trigamma function is a special mathematical function that is defined as the derivative of the digamma function (also known as the psi function). It is denoted by Ψ'(x) or ψ'(x) and is used in various fields of mathematics, such as statistics, quantum mechanics, and number theory.

2. Why is the source code for trigamma function in C important?

The source code for trigamma function in C is important because C is a widely used programming language in scientific computing, and having access to the source code allows researchers and developers to understand and modify the function according to their needs. It also allows for efficient implementation in various software and applications.

3. Where can I find the source code for trigamma function in C?

The source code for trigamma function in C can be found in various libraries and packages, such as the GNU Scientific Library (GSL), Numerical Recipes, and the Cephes Mathematical Library. It can also be found online on websites such as GitHub and SourceForge.

4. How is the trigamma function implemented in C?

The implementation of the trigamma function in C varies depending on the library or package being used. However, in general, it involves using mathematical formulas and algorithms to calculate the function for a given input. The source code typically includes comments and documentation to explain the implementation and any special considerations.

5. Are there any limitations to using the source code for trigamma function in C?

As with any software or code, there may be limitations to using the source code for trigamma function in C. These limitations could include accuracy, efficiency, and compatibility with different platforms or systems. It is important to carefully review and test the code before using it in any scientific or mathematical applications.

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