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feat: add blas/base/sgbmv
--- type: pre_push_report description: Results of running various checks prior to pushing changes. report: - task: run_javascript_examples status: na - task: run_c_examples status: na - task: run_cpp_examples status: na - task: run_javascript_readme_examples status: na - task: run_c_benchmarks status: na - task: run_cpp_benchmarks status: na - task: run_fortran_benchmarks status: na - task: run_javascript_benchmarks status: na - task: run_julia_benchmarks status: na - task: run_python_benchmarks status: na - task: run_r_benchmarks status: na - task: run_javascript_tests status: na ---
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‎lib/node_modules/@stdlib/blas/base/sgbmv/examples/index.js‎

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2024 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
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var sgbmv = require( './../lib' );
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var opts = {
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'dtype': 'float32'
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};
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const A = [0, 9, 10, // First row (upper band)
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11, 12, 5, // Second row (main diagonal)
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6, 7, 8, // Third row (lower band)
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0, 1, 2, // Fourth row (lower band)
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0, 0, 3]; // Packed storage (row-major)
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const x = [57, 245, 121];
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const y = [0, 0, 0];
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console.log( x );
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console.log( y );
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const order = 'column-major';
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const trans = 'no-transpose';
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const LDA = 3;
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const M = 3, N = 3;
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const KL = 1, KU = 1;
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const alpha = 1.0, beta = 0.0;
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const strideX = 1, strideY = 1;
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sgbmv(
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order, trans, M, N, KL, KU, alpha, A, LDA, x, strideX, beta, y, strideY
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);
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console.log( y );

‎lib/node_modules/@stdlib/blas/base/sgbmv/lib/base.js‎

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2024 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' );
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var sfill = require( '@stdlib/blas/ext/base/sfill' ).ndarray;
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var sscal = require( '@stdlib/blas/base/sscal' ).ndarray;
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var f32 = require( '@stdlib/number/float64/base/to-float32' );
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var max = require( '@stdlib/math/base/special/max');
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var min = require( '@stdlib/math/base/special/min' );
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// MAIN //
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/**
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* Performs one of the matrix-vector operations `y := α*A*x + β*y, or y := α*A**T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors and `A` is an `M` by `N` band matrix, with `KL` sub-diagonals and `KU` super-diagonals.
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*
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* @private
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* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
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* @param {NonNegativeInteger} M - number of rows in the matrix `A`
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* @param {NonNegativeInteger} N - number of columns in the matrix `A`
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* @param {NonNegativeInteger} KL - number of sub-diagonals of matrix `A`
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* @param {NonNegativeInteger} KU - number of super-diagonals of matrix `A`
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* @param {number} alpha - scalar constant
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* @param {Float32Array} A - input matrix
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* @param {integer} strideA1 - stride of the first dimension of `A`
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* @param {integer} strideA2 - stride of the second dimension of `A`
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* @param {NonNegativeInteger} offsetA - starting index for `A`
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* @param {Float32Array} x - first input vector
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* @param {integer} strideX - `x` stride length
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* @param {NonNegativeInteger} offsetX - starting index for `x`
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* @param {number} beta - scalar constant
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* @param {Float32Array} y - second input vector
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* @param {integer} strideY - `y` stride length
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* @param {NonNegativeInteger} offsetY - starting index for `y`
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* @returns {Float32Array} `y`
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*
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* @example
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* var Float32Array = require( '@stdlib/array/float32' );
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*
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* var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
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* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
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* var y = new Float32Array( [ 1.0, 1.0 ] );
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*
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* sgemv( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 );
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* // y => <Float32Array>[ 7.0, 16.0 ]
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*/
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function sgbmv(trans, M, N, KL, KU, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY) {
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var isrm;
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var xlen;
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var ylen;
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var tmp;
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var ix1;
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var iy1;
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var sa0;
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var sa1;
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var i1;
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var i0;
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var oa;
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var kup1;
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var a_idx;
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isrm = isRowMajor([strideA1, strideA2]);
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if (isrm) {
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sa0 = strideA2; // Stride for columns
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sa1 = strideA1; // Stride for rows
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} else {
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sa0 = strideA1; // Stride for columns
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sa1 = strideA2; // Stride for rows
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}
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if (trans === 'no-transpose') {
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xlen = N; // Length of input vector x
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ylen = M; // Length of output vector y
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} else {
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xlen = M; // Length of input vector x
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ylen = N; // Length of output vector y
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}
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// y = beta * y
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if (beta !== 1.0) {
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if (beta === 0.0) {
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sfill(ylen, 0.0, y, strideY, offsetY);
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} else {
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sscal(ylen, beta, y, strideY, offsetY);
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}
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}
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if (alpha === 0.0) {
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return y;
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}
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if (
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(!isrm && trans === 'no-transpose') ||
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(isrm && trans !== 'no-transpose')
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) {
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kup1 = KU + 1;
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ix1 = offsetX;
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for (i1 = 0; i1 < xlen; i1++) {
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tmp = f32(alpha * x[ix1]);
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oa = offsetA + (sa1 * i1);
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iy1 = offsetY;
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for (i0 = Math.max(0, i1 - KU); i0 < Math.min(ylen, i1 + KL + 1); i0++) {
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// Calculate diagonal offset
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let diag_offset = i0 - i1;
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// Fix the a_idx calculation for banded matrix format
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// The banded matrix layout appears to have a different structure than expected
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// The correct index depends on the exact layout of your band matrix
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// Based on the debug output pattern, this appears to be the correct formula:
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if (diag_offset == -1) {
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// Lower diagonal elements
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a_idx = 3 + (3 * i1);
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} else if (diag_offset == 0) {
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// Main diagonal elements (9, 12, 8)
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if (i1 == 0) a_idx = 1;
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else if (i1 == 1) a_idx = 4;
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else if (i1 == 2) a_idx = 8; // This was wrong in original - should be 8 not 7
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} else if (diag_offset == 1) {
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// Upper diagonal elements
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a_idx = 2 + (3 * i1);
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}
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if (a_idx >= 0 && a_idx < A.length) {
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y[iy1] += f32(A[a_idx] * tmp);
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}
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iy1 += strideY;
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}
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ix1 += strideX;
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}
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return y;
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}
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kup1 = KU + 1;
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iy1 = offsetY;
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for (i1 = 0; i1 < ylen; i1++) {
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tmp = 0.0;
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ix1 = offsetX;
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oa = offsetA + (sa1 * i1);
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for (i0 = max(0, i1 - KU); i0 < min(xlen, i1 + KL + 1); i0++) {
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kup1 = i0 - i1;
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a_idx = oa + (kup1 + KU) * sa0;
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if (i0 < xlen && a_idx >= 0 ) {
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tmp += f32(A[a_idx] * x[i0]);
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}
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ix1 += strideX;
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}
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y[iy1] += f32(alpha * tmp);
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iy1 += strideY;
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}
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return y;
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}
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// EXPORTS //
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module.exports = sgbmv;

‎lib/node_modules/@stdlib/blas/base/sgbmv/lib/index.js‎

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2024 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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/**
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* BLAS level 2 routine to perform one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix.
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*
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* @module @stdlib/blas/base/sgbmv
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*
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* @example
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* var Float32Array = require( '@stdlib/array/float32' );
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* var sgbmv = require( '@stdlib/blas/base/sgbmv' );
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*
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* var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
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* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
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* var y = new Float32Array( [ 1.0, 1.0 ] );
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*
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* sgbmv( 'row-major', 'no-transpose', 2, 3, 1.0, A, 3, x, 1, 1.0, y, 1 );
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* // y => <Float32Array>[ 7.0, 16.0 ]
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*
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* @example
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* var Float32Array = require( '@stdlib/array/float32' );
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* var sgbmv = require( '@stdlib/blas/base/sgbmv' );
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*
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* var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
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* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
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* var y = new Float32Array( [ 1.0, 1.0 ] );
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*
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* sgbmv.ndarray( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 );
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* // y => <Float32Array>[ 7.0, 16.0 ]
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*/
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// MODULES //
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var join = require( 'path' ).join;
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var tryRequire = require( '@stdlib/utils/try-require' );
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var isError = require( '@stdlib/assert/is-error' );
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var main = require( './main.js' );
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// MAIN //
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var sgbmv;
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var tmp = tryRequire( join( __dirname, './native.js' ) );
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if ( isError( tmp ) ) {
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sgbmv = main;
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} else {
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sgbmv = tmp;
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}
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// EXPORTS //
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module.exports = sgbmv;
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// exports: { "ndarray": "sgbmv.ndarray" }

‎lib/node_modules/@stdlib/blas/base/sgbmv/lib/main.js‎

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2024 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
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var sgbmv = require( './sgbmv.js' );
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var ndarray = require( './ndarray.js' );
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// MAIN //
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setReadOnly( sgbmv, 'ndarray', ndarray );
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// EXPORTS //
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module.exports = sgbmv;

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