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cfloorn
Round each component of a double-precision complex floating-point number to the nearest multiple of
10^n
toward negative infinity.
Installation
npm install @stdlib/math-base-special-cfloorn
Usage
var cfloorn = require( '@stdlib/math-base-special-cfloorn' );
cfloorn( z, n )
Rounds each component of a double-precision complex floating-point number to the nearest multiple of 10^n
toward negative infinity.
var Complex128 = require( '@stdlib/complex-float64' );
var real = require( '@stdlib/complex-real' );
var imag = require( '@stdlib/complex-imag' );
// Round components to 2 decimal places:
var v = cfloorn( new Complex128( -3.141592653589793, 3.141592653589793 ), -2 );
// returns <Complex128>
var re = real( v );
// returns -3.15
var im = imag( v );
// returns 3.14
// If n = 0, `cfloorn` behaves like `cfloor`:
v = cfloorn( new Complex128( -3.141592653589793, 3.141592653589793 ), 0 );
// returns <Complex128>
re = real( v );
// returns -4.0
im = imag( v );
// returns 3.0
// Round components to the nearest thousand:
v = cfloorn( new Complex128( -12368.0, 12368.0 ), 3 );
// returns <Complex128>
re = real( v );
// returns -13000.0
im = imag( v );
// returns 12000.0
v = cfloorn( new Complex128( NaN, NaN ), 0 );
// returns <Complex128>
re = real( v );
// returns NaN
im = imag( v );
// returns NaN
Notes
-
When operating on floating-point numbers in bases other than
2
, rounding to specified digits can be inexact. For example,var Complex128 = require( '@stdlib/complex-float64' ); var real = require( '@stdlib/complex-real' ); var imag = require( '@stdlib/complex-imag' ); var x = -0.2 - 0.1; // returns -0.30000000000000004 // Should round components to 0.3: var v = cfloorn( new Complex128( x, x ), -16 ); // returns <Complex128> var re = real( v ); // returns -0.3000000000000001 var im = imag( v ); // returns -0.3000000000000001
Examples
var Complex128 = require( '@stdlib/complex-float64' );
var randu = require( '@stdlib/random-base-randu' );
var uniform = require( '@stdlib/random-base-uniform' );
var floor = require( '@stdlib/math-base-special-floor' );
var cfloorn = require( '@stdlib/math-base-special-cfloorn' );
var randint = require( '@stdlib/random-base-discrete-uniform' );
var z;
var w;
var n;
var i;
for ( i = 0; i < 100; i++ ) {
z = new Complex128( uniform( -50.0, 50.0 ), uniform( -50.0, 50.0 ) );
n = randint( -5.0, 0.0 );
w = cfloorn( z, n );
console.log( 'floorn(%s,%s) = %s', z.toString(), n.toString(), w.toString() );
}
C APIs
Usage
#include "stdlib/math/base/special/cfloorn.h"
stdlib_base_cfloorn( z, n )
Rounds each component of a double-precision complex floating-point number to the nearest multiple of 10^n
toward negative infinity.
#include "stdlib/complex/float64.h"
#include "stdlib/complex/real.h"
#include "stdlib/complex/imag.h"
stdlib_complex128_t z = stdlib_complex128( -3.141592653589793, 3.141592653589793 );
stdlib_complex128_t out = stdlib_base_cfloorn( z, -2 );
double re = stdlib_real( out );
// returns -3.15
double im = stdlib_imag( out );
// returns 3.14
The function accepts the following arguments:
-
z:
[in] stdlib_complex128_t
input value. -
n:
[in] int32_t
integer power of 10.
stdlib_complex128_t stdlib_base_cfloorn( const stdlib_complex128_t z, const int32_t n );
Examples
#include "stdlib/math/base/special/cfloorn.h"
#include "stdlib/complex/float64.h"
#include "stdlib/complex/reim.h"
#include <stdio.h>
int main() {
const stdlib_complex128_t x[] = {
stdlib_complex128( 3.14, 1.5 ),
stdlib_complex128( -3.14, -1.5 ),
stdlib_complex128( 0.0, 0.0 ),
stdlib_complex128( 0.0/0.0, 0.0/0.0 )
};
stdlib_complex128_t v;
stdlib_complex128_t y;
double re1;
double im1;
double re2;
double im2;
int i;
for ( i = 0; i < 4; i++ ) {
v = x[ i ];
y = stdlib_base_cfloorn( v, -2 );
stdlib_reim( v, &re1, &im1 );
stdlib_reim( y, &re2, &im2 );
printf( "cfloorn(%lf + %lfi, -2) = %lf + %lfi\n", re1, im1, re2, im2 );
}
}
See Also
-
@stdlib/math-base/special/cceiln
: round each component of a double-precision complex floating-point number to the nearest multiple of 10^n toward positive infinity. -
@stdlib/math-base/special/cfloor
: round a double-precision complex floating-point number toward negative infinity. -
@stdlib/math-base/special/croundn
: round each component of a double-precision complex floating-point number to the nearest multiple of 10^n.
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.