+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 +68 +69 +70 +71 +72 +73 +74 +75 +76 +77 +78 +79 +80 | 2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +15x +15x +15x +15x +15x +2x +2x +15x +3x +15x +10x +10x +15x +3x +15x +10x +10x +13x +15x +2x +2x +2x +2x +2x + | /**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var cusum = require( './ndarray.js' );
+
+
+// MAIN //
+
+/**
+* Computes the cumulative sum of double-precision floating-point strided array elements using pairwise summation.
+*
+* ## Method
+*
+* - This implementation uses pairwise summation, which accrues rounding error `O(log2 N)` instead of `O(N)`. The recursion depth is also `O(log2 N)`.
+*
+* ## References
+*
+* - Higham, Nicholas J. 1993. "The Accuracy of Floating Point Summation." _SIAM Journal on Scientific Computing_ 14 (4): 783–99. doi:[10.1137/0914050](https://doi.org/10.1137/0914050).
+*
+* @param {PositiveInteger} N - number of indexed elements
+* @param {number} sum - initial sum
+* @param {Float64Array} x - input array
+* @param {integer} strideX - `x` stride length
+* @param {Float64Array} y - output array
+* @param {integer} strideY - `y` stride length
+* @returns {Float64Array} output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
+* var y = new Float64Array( x.length );
+*
+* var v = dcusumpw( 3, 0.0, x, 1, y, 1 );
+* // returns <Float64Array>[ 1.0, -1.0, 1.0 ]
+*/
+function dcusumpw( N, sum, x, strideX, y, strideY ) {
+ var ix;
+ var iy;
+
+ if ( N <= 0 ) {
+ return y;
+ }
+ if ( strideX < 0 ) {
+ ix = (1-N) * strideX;
+ } else {
+ ix = 0;
+ }
+ if ( strideY < 0 ) {
+ iy = (1-N) * strideY;
+ } else {
+ iy = 0;
+ }
+ return cusum( N, sum, x, strideX, ix, y, strideY, iy );
+}
+
+
+// EXPORTS //
+
+module.exports = dcusumpw;
+ |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 | 3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +31x +31x +31x +31x +3x +3x +3x +3x +3x + | /**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Computes the cumulative sum of double-precision floating-point strided array elements using pairwise summation.
+*
+* @param {PositiveInteger} N - number of indexed elements
+* @param {number} sum - initial sum
+* @param {Float64Array} x - input array
+* @param {integer} strideX - `x` stride length
+* @param {Float64Array} y - output array
+* @param {integer} strideY - `y` stride length
+* @returns {Float64Array} output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
+* var y = new Float64Array( x.length );
+*
+* var v = dcusumpw( 3, 0.0, x, 1, y, 1 );
+* // returns <Float64Array>[ 1.0, -1.0, 1.0 ]
+*/
+function dcusumpw( N, sum, x, strideX, y, strideY ) {
+ addon( N, sum, x, strideX, y, strideY );
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = dcusumpw;
+ |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| File | ++ | Statements | ++ | Branches | ++ | Functions | ++ | Lines | ++ |
|---|---|---|---|---|---|---|---|---|---|
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+
+ |
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+
+ |
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+
+ |
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+
+ |
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+
+ |
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+
+ |
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+
+ |
+ 100% | +67/67 | +100% | +2/2 | +100% | +1/1 | +100% | +67/67 | +
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 +68 +69 +70 +71 | 3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +1x +3x +2x +2x +3x +3x +3x +3x +3x +3x +3x + | /**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Compute the cumulative sum of double-precision floating-point strided array elements using pairwise summation.
+*
+* @module @stdlib/blas/ext/base/dcusumpw
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dcusumpw = require( '@stdlib/blas/ext/base/dcusumpw' );
+*
+* var x = new Float64Array( [ 1.0, -2.0, 2.0 ] );
+* var y = new Float64Array( x.length );
+*
+* dcusumpw( 3, 0.0, x, 1, y, 1 );
+* // y => <Float64Array>[ 1.0, -1.0, 1.0 ]
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dcusumpw = require( '@stdlib/blas/ext/base/dcusumpw' );
+*
+* var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
+* var y = new Float64Array( x.length );
+*
+* dcusumpw.ndarray( 4, 0.0, x, 2, 1, y, 1, 0 );
+* // y => <Float64Array>[ 1.0, -1.0, 1.0, 5.0, 0.0, 0.0, 0.0, 0.0 ]
+*/
+
+// MODULES //
+
+var join = require( 'path' ).join;
+var tryRequire = require( '@stdlib/utils/try-require' );
+var isError = require( '@stdlib/assert/is-error' );
+var main = require( './main.js' );
+
+
+// MAIN //
+
+var dcusumpw;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+ dcusumpw = main;
+} else {
+ dcusumpw = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = dcusumpw;
+
+// exports: { "ndarray": "dcusumpw.ndarray" }
+ |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x + | /** +* @license Apache-2.0 +* +* Copyright (c) 2020 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var dcusumpw = require( './dcusumpw.js' ); +var ndarray = require( './ndarray.js' ); + + +// MAIN // + +setReadOnly( dcusumpw, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = dcusumpw; + |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x + | /** +* @license Apache-2.0 +* +* Copyright (c) 2020 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var dcusumpw = require( './dcusumpw.native.js' ); +var ndarray = require( './ndarray.native.js' ); + + +// MAIN // + +setReadOnly( dcusumpw, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = dcusumpw; + |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 +68 +69 +70 +71 +72 +73 +74 +75 +76 +77 +78 +79 +80 +81 +82 +83 +84 +85 +86 +87 +88 +89 +90 +91 +92 +93 +94 +95 +96 +97 | 3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +3x +85x +85x +85x +85x +85x +85x +85x +85x +2x +2x +83x +83x +85x +55x +55x +4085x +4085x +4085x +4085x +4085x +55x +55x +28x +28x +28x +28x +28x +85x +3x +3x +3x +3x +3x + | /**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var floor = require( '@stdlib/math/base/special/floor' );
+
+
+// VARIABLES //
+
+// Blocksize for pairwise summation:
+var BLOCKSIZE = 128;
+
+
+// MAIN //
+
+/**
+* Computes the cumulative sum of double-precision floating-point strided array elements using pairwise summation.
+*
+* ## Method
+*
+* - This implementation uses pairwise summation, which accrues rounding error `O(log2 N)` instead of `O(N)`. The recursion depth is also `O(log2 N)`.
+*
+* ## References
+*
+* - Higham, Nicholas J. 1993. "The Accuracy of Floating Point Summation." _SIAM Journal on Scientific Computing_ 14 (4): 783–99. doi:[10.1137/0914050](https://doi.org/10.1137/0914050).
+*
+* @param {PositiveInteger} N - number of indexed elements
+* @param {number} sum - initial sum
+* @param {Float64Array} x - input array
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting index for `x`
+* @param {Float64Array} y - output array
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting index for `y`
+* @returns {Float64Array} output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
+* var y = new Float64Array( x.length );
+*
+* var v = dcusumpw( 4, 0.0, x, 2, 1, y, 1, 0 );
+* // returns <Float64Array>[ 1.0, -1.0, 1.0, 5.0, 0.0, 0.0, 0.0, 0.0 ]
+*/
+function dcusumpw( N, sum, x, strideX, offsetX, y, strideY, offsetY ) {
+ var ix;
+ var iy;
+ var s;
+ var n;
+ var i;
+
+ if ( N <= 0 ) {
+ return y;
+ }
+ ix = offsetX;
+ iy = offsetY;
+ if ( N <= BLOCKSIZE ) {
+ s = 0.0;
+ for ( i = 0; i < N; i++ ) {
+ s += x[ ix ];
+ y[ iy ] = sum + s;
+ ix += strideX;
+ iy += strideY;
+ }
+ return y;
+ }
+ n = floor( N/2 );
+ dcusumpw( n, sum, x, strideX, ix, y, strideY, iy );
+ iy += (n-1) * strideY;
+ dcusumpw( N-n, y[ iy ], x, strideX, ix+(n*strideX), y, strideY, iy+strideY ); // eslint-disable-line max-len
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = dcusumpw;
+ |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 +68 | 2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +2x +16x +16x +16x +16x +16x +16x +16x +16x +16x +16x +16x +2x +2x +2x +2x +2x + | /**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var minViewBufferIndex = require( '@stdlib/strided/base/min-view-buffer-index' );
+var offsetView = require( '@stdlib/strided/base/offset-view' );
+var addon = require( './dcusumpw.native.js' );
+
+
+// MAIN //
+
+/**
+* Computes the cumulative sum of double-precision floating-point strided array elements using pairwise summation.
+*
+* @param {PositiveInteger} N - number of indexed elements
+* @param {number} sum - initial sum
+* @param {Float64Array} x - input array
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting index for `x`
+* @param {Float64Array} y - output array
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting index for `y`
+* @returns {Float64Array} output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
+* var y = new Float64Array( x.length );
+*
+* var v = dcusumpw( 4, 0.0, x, 2, 1, y, 1, 0 );
+* // returns <Float64Array>[ 1.0, -1.0, 1.0, 5.0, 0.0, 0.0, 0.0, 0.0 ]
+*/
+function dcusumpw( N, sum, x, strideX, offsetX, y, strideY, offsetY ) {
+ var viewX;
+ var viewY;
+ offsetX = minViewBufferIndex( N, strideX, offsetX );
+ offsetY = minViewBufferIndex( N, strideY, offsetY );
+
+ viewX = offsetView( x, offsetX );
+ viewY = offsetView( y, offsetY );
+ addon( N, sum, viewX, strideX, viewY, strideY );
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = dcusumpw;
+ |