@stdlib/math-base-special-fibonacci
v0.2.2
Published
Compute the nth Fibonacci number.
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Fibonacci
Compute the nth Fibonacci number.
The Fibonacci numbers are the integer sequence
The sequence is defined by the recurrence relation
with seed values F_0 = 0
and F_1 = 1
.
Installation
npm install @stdlib/math-base-special-fibonacci
Usage
var fibonacci = require( '@stdlib/math-base-special-fibonacci' );
fibonacci( n )
Computes the nth Fibonacci number.
var v = fibonacci( 0 );
// returns 0
v = fibonacci( 1 );
// returns 1
v = fibonacci( 2 );
// returns 1
v = fibonacci( 3 );
// returns 2
v = fibonacci( 78 );
// returns 8944394323791464
If n > 78
, the function returns NaN
, as larger Fibonacci numbers cannot be safely represented in double-precision floating-point format.
var v = fibonacci( 79 );
// returns NaN
If not provided a nonnegative integer value, the function returns NaN
.
var v = fibonacci( 3.14 );
// returns NaN
v = fibonacci( -1 );
// returns NaN
If provided NaN
, the function returns NaN
.
var v = fibonacci( NaN );
// returns NaN
Examples
var fibonacci = require( '@stdlib/math-base-special-fibonacci' );
var v;
var i;
for ( i = 0; i < 79; i++ ) {
v = fibonacci( i );
console.log( v );
}
C APIs
Usage
#include "stdlib/math/base/special/fibonacci.h"
stdlib_base_fibonacci( n )
Computes the nth Fibonacci number.
double out = stdlib_base_fibonacci( 0 );
// returns 0
out = stdlib_base_fibonacci( 1 );
// returns 1
The function accepts the following arguments:
- n:
[in] int32_t
input value.
double stdlib_base_fibonacci( const int32_t n );
Examples
#include "stdlib/math/base/special/fibonacci.h"
#include <stdio.h>
#include <stdint.h>
int main( void ) {
int32_t i;
double v;
for ( i = 0; i < 79; i++ ) {
v = stdlib_base_fibonacci( i );
printf( "fibonacci(%d) = %lf\n", i, v );
}
}
See Also
@stdlib/math-base/special/binet
: evaluate Binet's formula extended to real numbers.@stdlib/math-base/special/fibonacci-index
: compute the Fibonacci number index.@stdlib/math-base/special/lucas
: compute the nth Lucas number.@stdlib/math-base/special/negafibonacci
: compute the nth negaFibonacci number.
Notice
This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
Community
License
See LICENSE.
Copyright
Copyright © 2016-2024. The Stdlib Authors.