feat: add lib

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stdlib-js · DivitJain26 · May 6, 2026 · May 6, 2026 · May 6, 2026 · May 6, 2026
commit 907f01948dfa86cc5acb193514f293a418613f41
diff --git a/lib/node_modules/@stdlib/blas/base/ztpmv/lib/base.js b/lib/node_modules/@stdlib/blas/base/ztpmv/lib/base.js
@@ -0,0 +1,236 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
+var reinterpret = require( '@stdlib/strided/base/reinterpret-complex128' );
+var muladd = require( '@stdlib/complex/float64/base/mul-add' ).assign;
+
+
+// MAIN //
+
+/**
+* Performs one of the matrix-vector operations `x = A*x` or `x = A**T*x` or `x = A**H*x`, where `x` is an `N` element vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular matrix, supplied in packed form.
+*
+* @private
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether `A` is an upper or lower triangular matrix
+* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+* @param {string} diag - specifies whether `A` has a unit diagonal
+* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
+* @param {Complex128Array} AP - packed form of a symmetric matrix `A`
+* @param {integer} strideAP - `AP` stride length
+* @param {NonNegativeInteger} offsetAP - starting index for `AP`
+* @param {Complex128Array} x - input vector
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting index for `x`
+* @returns {Complex128Array} `x`
+*
+* @example
+* var Complex128Array = require( '@stdlib/array/complex128' );
+*
+* var AP = new Complex128Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] );
+* var x = new Complex128Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
+*
+* ztpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 );
+* // x => <Complex128Array>[ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ]
+*/
+function ztpmv( order, uplo, trans, diag, N, AP, strideAP, offsetAP, x, strideX, offsetX ) { // eslint-disable-line max-params, max-len
+	var nonunit;
+	var viewAP;
+	var viewX;
+	var retmp;
+	var imtmp;
+	var isrm;
+	var sign;
+	var rex;
+	var imx;
+	var rea;
+	var ima;
+	var iap;
+	var ix0;
+	var ix1;
+	var sap;
+	var kk;
+	var ox;
+	var sx;
+	var i1;
+	var i0;
+
+	// Note on variable naming convention: sa#, ix#, i# where # corresponds to the loop number, with `0` being the innermost loop...
+
+	isrm = isRowMajor( order );
+	nonunit = ( diag === 'non-unit' );
+
+	// Reinterpret arrays as real-valued views of interleaved real and imaginary components:
+	viewAP = reinterpret( AP, 0 );
+	viewX = reinterpret( x, 0 );
+	if ( trans === 'conjugate-transpose' ) {
+		sign = -1;
+	} else {
+		sign = 1;
+	}
+	ox = offsetX * 2;
+	kk = offsetAP * 2;
+	sx = strideX * 2;
+	sap = strideAP * 2;
+
+	if (
+		( !isrm && uplo === 'upper' && trans === 'no-transpose' ) ||
+		( isrm && uplo === 'lower' && trans !== 'no-transpose' )
+	) {
+		ix1 = ox;
+		for ( i1 = 0; i1 < N; i1++ ) {
+			retmp = viewX[ ix1 ];
+			imtmp = viewX[ ix1+1 ];
+			iap = kk;
+			ix0 = ox;
+			for ( i0 = 0; i0 < i1; i0++ ) {
+				rea = viewAP[ iap ];
+				ima = sign * viewAP[ iap+1 ];
+				rex = viewX[ ix0 ];
+				imx = viewX[ ix0+1 ];
+				muladd( rea, ima, retmp, imtmp, rex, imx, viewX, 1, ix0 );
+				iap += sap;
+				ix0 += sx;
+			}
+			if ( nonunit ) {
+				rea = viewAP[ iap ];
+				ima = sign * viewAP[ iap+1 ];
+				rex = viewX[ ix0 ];
+				imx = viewX[ ix0+1 ];
+				viewX[ ix0 ] = (rea*rex) - (ima*imx);
+				viewX[ ix0+1 ] = (rea*imx) + (ima*rex);
+			}
+			ix1 += sx;
+			kk += (i1+1) * sap;
+		}
+		return x;
+	}
+	if (
+		( !isrm && uplo === 'lower' && trans === 'no-transpose' ) ||
+		( isrm && uplo === 'upper' && trans !== 'no-transpose' )
+	) {
+		kk += ((N*(N+1)/2)-1) * sap;
+		ox += (N-1) * sx;
+		ix1 = ox;
+		for ( i1 = N - 1; i1 >= 0; i1-- ) {
+			retmp = viewX[ ix1 ];
+			imtmp = viewX[ ix1+1 ];
+			iap = kk;
+			ix0 = ox;
+			for ( i0 = N - 1; i0 > i1; i0-- ) {
+				rea = viewAP[ iap ];
+				ima = sign * viewAP[ iap+1 ];
+				rex = viewX[ ix0 ];
+				imx = viewX[ ix0+1 ];
+				muladd( rea, ima, retmp, imtmp, rex, imx, viewX, 1, ix0 );
+				iap -= sap;
+				ix0 -= sx;
+			}
+			if ( nonunit ) {
+				rea = viewAP[ iap ];
+				ima = sign * viewAP[ iap+1 ];
+				rex = viewX[ ix0 ];
+				imx = viewX[ ix0+1 ];
+				viewX[ ix0 ] = (rea*rex) - (ima*imx);
+				viewX[ ix0+1 ] = (rea*imx) + (ima*rex);
+			}
+			ix1 -= sx;
+			kk -= (N-i1) * sap;
+		}
+		return x;
+	}
+	if (
+		( !isrm && uplo === 'upper' && trans !== 'no-transpose' ) ||
+		( isrm && uplo === 'lower' && trans === 'no-transpose' )
+	) {
+		kk += ((N*(N+1)/2)-1) * sap;
+		ix1 = ox + ((N-1)*sx);
+		for ( i1 = N - 1; i1 >= 0; i1-- ) {
+			rex = viewX[ ix1 ];
+			imx = viewX[ ix1+1 ];
+			iap = kk;
+			ix0 = ix1;
+			if ( nonunit ) {
+				rea = viewAP[ iap ];
+				ima = sign * viewAP[ iap+1 ];
+				retmp = (rea*rex) - (ima*imx);
+				imtmp = (rea*imx) + (ima*rex);
+			} else {
+				retmp = rex;
+				imtmp = imx;
+			}
+			for ( i0 = i1 - 1; i0 >= 0; i0-- ) {
+				ix0 -= sx;
+				iap -= sap;
+				rea = viewAP[ iap ];
+				ima = sign * viewAP[ iap+1 ];
+				rex = viewX[ ix0 ];
+				imx = viewX[ ix0+1 ];
+				retmp += (rea*rex) - (ima*imx);
+				imtmp += (rea*imx) + (ima*rex);
+			}
+			viewX[ ix1 ] = retmp;
+			viewX[ ix1+1 ] = imtmp;
+			ix1 -= sx;
+			kk -= (i1+1) * sap;
+		}
+		return x;
+	}
+	// ( !isrm && uplo === 'lower' && trans !== 'no-transpose' ) || ( isrm && uplo === 'upper' && trans === 'no-transpose' )
+	ix1 = ox;
+	for ( i1 = 0; i1 < N; i1++ ) {
+		rex = viewX[ ix1 ];
+		imx = viewX[ ix1+1 ];
+		iap = kk;
+		ix0 = ix1;
+		if ( nonunit ) {
+			rea = viewAP[ iap ];
+			ima = sign * viewAP[ iap+1 ];
+			retmp = (rea*rex) - (ima*imx);
+			imtmp = (rea*imx) + (ima*rex);
+		} else {
+			retmp = rex;
+			imtmp = imx;
+		}
+		for ( i0 = i1+1; i0 < N; i0++ ) {
+			ix0 += sx;
+			iap += sap;
+			rea = viewAP[ iap ];
+			ima = sign * viewAP[ iap+1 ];
+			rex = viewX[ ix0 ];
+			imx = viewX[ ix0+1 ];
+			retmp += (rea*rex) - (ima*imx);
+			imtmp += (rea*imx) + (ima*rex);
+		}
+		viewX[ ix1 ] = retmp;
+		viewX[ ix1+1 ] = imtmp;
+		ix1 += sx;
+		kk += (N-i1) * sap;
+	}
+	return x;
+}
+
+
+// EXPORTS //
+
+module.exports = ztpmv;
diff --git a/lib/node_modules/@stdlib/blas/base/ztpmv/lib/index.js b/lib/node_modules/@stdlib/blas/base/ztpmv/lib/index.js
@@ -0,0 +1,70 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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';
+
+/**
+* BLAS level 2 routine to performs one of the matrix-vector operations `x = A*x` or `x = A**T*x` or `x = A**H*x`, where `x` is an `N` element vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular matrix, supplied in packed form.
+*
+* @module @stdlib/blas/base/ztpmv
+*
+* @example
+* var Complex128Array = require( '@stdlib/array/complex128' );
+* var ztpmv = require( '@stdlib/blas/base/ztpmv' );
+*
+* var AP = new Complex128Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] );
+* var x = new Complex128Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
+*
+* ztpmv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, x, 1 );
+* // x => <Complex128Array>[ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ]
+*
+* @example
+* var Complex128Array = require( '@stdlib/array/complex128' );
+* var ztpmv = require( '@stdlib/blas/base/ztpmv' );
+*
+* var AP = new Complex128Array( [ 1.0, 1.0, 2.0, 2.0, 4.0, 4.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] );
+* var x = new Complex128Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
+*
+* ztpmv.ndarray( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, AP, 1, 0, x, 1, 0 );
+* // x => <Complex128Array>[ 0.0, 2.0, 0.0, 20.0, 0.0, 62.0 ]
+*/
+
+// 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 ztpmv;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+	ztpmv = main;
+} else {
+	ztpmv = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = ztpmv;
+
+// exports: { "ndarray": "ztpmv.ndarray" }
diff --git a/lib/node_modules/@stdlib/blas/base/ztpmv/lib/main.js b/lib/node_modules/@stdlib/blas/base/ztpmv/lib/main.js
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 ztpmv = require( './ztpmv.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( ztpmv, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = ztpmv;