srot

Apply a plane rotation.

Usage

var srot = require( '@stdlib/blas/base/srot-wasm' );

srot.main( N, x, strideX, y, strideY, c, s )

Applies a plane rotation.

var Float32Array = require( '@stdlib/array/float32' );

var x = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
var y = new Float32Array( [ 1.0, 1.0, 1.0, 1.0, 1.0 ] );

srot.main( x.length, x, 1, y, 1, 0.0, 1.0 );
// x => <Float32Array>[ 1.0, 1.0, 1.0, 1.0, 1.0 ]
// y => <Float32Array>[ -1.0, -2.0, -3.0, -4.0, -5.0 ]

The function has the following parameters:

  • N: number of indexed elements.
  • x: input Float32Array.
  • strideX: index increment for x.
  • y: input Float32Array.
  • strideY: index increment for y.
  • c: cosine of the angle of rotation.
  • s: sine of the angle of rotation.

The N and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to apply a plane rotation to every other element,

var Float32Array = require( '@stdlib/array/float32' );

var x = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Float32Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );

srot.main( 3, x, 2, y, 2, 0.8, 0.6 );
// x => <Float32Array>[ ~5.0, 2.0, ~7.8, 4.0, ~10.6, 6.0 ]
// y => <Float32Array>[ ~5.0, 8.0, ~5.4, 10.0, ~5.8, 12.0 ]

Note that indexing is relative to the first index. To introduce an offset, use typed array views.

var Float32Array = require( '@stdlib/array/float32' );

// Initial arrays...
var x0 = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y0 = new Float32Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );

// Create offset views...
var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Float32Array( y0.buffer, y0.BYTES_PER_ELEMENT*3 ); // start at 4th element

srot.main( 3, x1, -2, y1, 1, 0.8, 0.6 );
// x0 => <Float32Array>[ 1.0, ~8.8, 3.0, ~9.8, 5.0, ~10.8 ]
// y0 => <Float32Array>[ 7.0, 8.0, 9.0, 4.4, 6.4, ~8.4 ]

srot.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, c, s )

Applies a plane rotation using alternative indexing semantics.

var Float32Array = require( '@stdlib/array/float32' );

var x = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
var y = new Float32Array( [ 6.0, 7.0, 8.0, 9.0, 10.0 ] );

srot.ndarray( 4, x, 1, 1, y, 1, 1, 0.8, 0.6 );
// x => <Float32Array>[ 1.0, ~5.8, ~7.2, ~8.6, 10.0 ]
// y => <Float32Array>[ 6.0, 4.4, ~4.6, ~4.8, 5.0 ]

The function has the following additional parameters:

  • offsetX: starting index for x.
  • offsetY: starting index for y.

While typed array views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to apply a plane rotation to every other element starting from the second element,

var Float32Array = require( '@stdlib/array/float32' );

var x = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Float32Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );

srot.ndarray( 3, x, 2, 1, y, 2, 1, 0.8, 0.6 );
// x => <Float32Array>[ 1.0, ~6.4, 3.0, ~9.2, 5.0, 12.0 ]
// y => <Float32Array>[ 7.0, 5.2, 9.0, 5.6, 11.0, ~6.0 ]

Module

srot.Module( memory )

Returns a new WebAssembly module wrapper instance which uses the provided WebAssembly memory instance as its underlying memory.

var Memory = require( '@stdlib/wasm/memory' );

// Create a new memory instance with an initial size of 10 pages (640KiB) and a maximum size of 100 pages (6.4MiB):
var mem = new Memory({
    'initial': 10,
    'maximum': 100
});

// Create a BLAS routine:
var mod = new srot.Module( mem );
// returns <Module>

// Initialize the routine:
mod.initializeSync();

srot.Module.prototype.main( N, xp, sx, yp, sy, c, s )

Applies a plane rotation.

var Memory = require( '@stdlib/wasm/memory' );
var oneTo = require( '@stdlib/array/one-to' );
var ones = require( '@stdlib/array/ones' );
var zeros = require( '@stdlib/array/zeros' );
var bytesPerElement = require( '@stdlib/ndarray/base/bytes-per-element' );

// Create a new memory instance with an initial size of 10 pages (640KiB) and a maximum size of 100 pages (6.4MiB):
var mem = new Memory({
    'initial': 10,
    'maximum': 100
});

// Create a BLAS routine:
var mod = new srot.Module( mem );
// returns <Module>

// Initialize the routine:
mod.initializeSync();

// Define a vector data type:
var dtype = 'float32';

// Specify a vector length:
var N = 5;

// Define pointers (i.e., byte offsets) for storing two vectors:
var xptr = 0;
var yptr = N * bytesPerElement( dtype );

// Write vector values to module memory:
mod.write( xptr, oneTo( N, dtype ) );
mod.write( yptr, ones( N, dtype ) );

// Perform computation:
mod.main( N, xptr, 1, yptr, 1, 0.0, 1.0 );

// Read out the results:
var viewX = zeros( N, dtype );
var viewY = zeros( N, dtype );
mod.read( xptr, viewX );
mod.read( yptr, viewY );

console.log( viewX );
// => <Float32Array>[ 1.0, 1.0, 1.0, 1.0, 1.0 ]

console.log( viewY );
// => <Float32Array>[ -1.0, -2.0, -3.0, -4.0, -5.0 ]

The function has the following parameters:

  • N: number of indexed elements.
  • xp: input Float32Array pointer (i.e., byte offset).
  • sx: index increment for x.
  • yp: input Float32Array pointer (i.e., byte offset).
  • sy: index increment for y.
  • c: cosine of the angle of rotation.
  • s: sine of the angle of rotation.

srot.Module.prototype.ndarray( N, xp, sx, ox, yp, sy, oy, c, s )

Applies a plane rotation using alternative indexing semantics.

var Memory = require( '@stdlib/wasm/memory' );
var oneTo = require( '@stdlib/array/one-to' );
var ones = require( '@stdlib/array/ones' );
var zeros = require( '@stdlib/array/zeros' );
var bytesPerElement = require( '@stdlib/ndarray/base/bytes-per-element' );

// Create a new memory instance with an initial size of 10 pages (640KiB) and a maximum size of 100 pages (6.4MiB):
var mem = new Memory({
    'initial': 10,
    'maximum': 100
});

// Create a BLAS routine:
var mod = new srot.Module( mem );
// returns <Module>

// Initialize the routine:
mod.initializeSync();

// Define a vector data type:
var dtype = 'float32';

// Specify a vector length:
var N = 5;

// Define pointers (i.e., byte offsets) for storing two vectors:
var xptr = 0;
var yptr = N * bytesPerElement( dtype );

// Write vector values to module memory:
mod.write( xptr, oneTo( N, dtype ) );
mod.write( yptr, ones( N, dtype ) );

// Perform computation:
mod.ndarray( N, xptr, 1, 0, yptr, 1, 0, 0.0, 1.0 );

// Read out the results:
var viewX = zeros( N, dtype );
var viewY = zeros( N, dtype );
mod.read( xptr, viewX );
mod.read( yptr, viewY );

console.log( viewX );
// => <Float32Array>[ 1.0, 1.0, 1.0, 1.0, 1.0 ]

console.log( viewY );
// => <Float32Array>[ -1.0, -2.0, -3.0, -4.0, -5.0 ]

The function has the following additional parameters:

  • ox: starting index for x.
  • oy: starting index for y.

Notes

  • If N <= 0, both vectors are unchanged.
  • This package implements routines using WebAssembly. When provided arrays which are not allocated on a srot module memory instance, data must be explicitly copied to module memory prior to computation. Data movement may entail a performance cost, and, thus, if you are using arrays external to module memory, you should prefer using @stdlib/blas/base/srot. However, if working with arrays which are allocated and explicitly managed on module memory, you can achieve better performance when compared to the pure JavaScript implementations found in @stdlib/blas/base/srot. Beware that such performance gains may come at the cost of additional complexity when having to perform manual memory management. Choosing between implementations depends heavily on the particular needs and constraints of your application, with no one choice universally better than the other.
  • srot() corresponds to the BLAS level 1 function srot.

Examples

var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var srot = require( '@stdlib/blas/base/srot-wasm' );

var opts = {
    'dtype': 'float32'
};
var x = discreteUniform( 10, 0, 100, opts );
console.log( x );

var y = discreteUniform( x.length, 0, 10, opts );
console.log( y );

srot.ndarray( x.length, x, 1, 0, y, -1, y.length-1, 0.8, 0.6 );
console.log( y );
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