negaFibonacci
Compute the nth negaFibonacci number.
The negaFibonacci numbers are the integer sequence
The sequence is defined by the recurrence relation
which yields
with seed values F_0 = 0 and F_{-1} = 1.
Usage
var negafibonacci = require( '@stdlib/math/base/special/negafibonacci' );
negafibonacci( n )
Computes the nth negaFibonacci number.
var v = negafibonacci( 0 );
// returns 0
v = negafibonacci( -1 );
// returns 1
v = negafibonacci( -2 );
// returns -1
v = negafibonacci( -3 );
// returns 2
v = negafibonacci( -78 );
// returns -8944394323791464
If n < -78, the function returns NaN, as larger negaFibonacci numbers cannot be safely represented in double-precision floating-point format.
var v = negafibonacci( -79 );
// returns NaN
If not provided a nonpositive integer value, the function returns NaN.
var v = negafibonacci( -3.14 );
// returns NaN
v = negafibonacci( 1 );
// returns NaN
If provided NaN, the function returns NaN.
var v = negafibonacci( NaN );
// returns NaN
Examples
var negafibonacci = require( '@stdlib/math/base/special/negafibonacci' );
var v;
var i;
for ( i = 0; i > -79; i-- ) {
v = negafibonacci( i );
console.log( v );
}
C APIs
Usage
#include "stdlib/math/base/special/negafibonacci.h"
stdlib_base_negafibonacci( n )
Computes the nth negaFibonacci number.
double out = stdlib_base_negafibonacci( 0 );
// returns 0
out = stdlib_base_fibonacci( -1 );
// returns 1
The function accepts the following arguments:
- n:
[in] int32_tinput value.
double stdlib_base_negafibonacci( const int32_t n );
Examples
#include "stdlib/math/base/special/negafibonacci.h"
#include <stdio.h>
#include <stdint.h>
int main( void ) {
int32_t i;
double v;
for ( i = 0; i > -79; i-- ) {
v = stdlib_base_negafibonacci( i );
printf( "negafibonacci(%d) = %lf\n", i, v );
}
}