diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/benchmark.native.js new file mode 100644 index 000000000000..a62c90299631 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/benchmark.native.js @@ -0,0 +1,111 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var ones = require( '@stdlib/array/ones' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var floor = require( '@stdlib/math/base/special/floor' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var ssymv = tryRequire( resolve( __dirname, './../lib/ssymv.native.js' ) ); +var opts = { + 'skip': ( ssymv instanceof Error ) +}; +var options = { + 'dtype': 'float32' +}; + + +// FUNCTIONS // + +/** +* Creates a benchmark function. +* +* @private +* @param {PositiveInteger} N - number of elements along each dimension +* @returns {Function} benchmark function +*/ +function createBenchmark( N ) { + var x = uniform( N, -10.0, 10.0, options ); + var y = uniform( N, -10.0, 10.0, options ); + var A = ones( N*N, options.dtype ); + return benchmark; + + /** + * Benchmark function. + * + * @private + * @param {Benchmark} b - benchmark instance + */ + function benchmark( b ) { + var z; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = ssymv( 'row-major', 'upper', N, 1.0, A, N, x, 1, 1.0, y, 1 ); + if ( isnanf( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var min; + var max; + var N; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + N = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( N ); + bench( pkg+':size='+(N*N), opts, f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/benchmark.ndarray.native.js b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/benchmark.ndarray.native.js new file mode 100644 index 000000000000..0acfc5acd88a --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/benchmark.ndarray.native.js @@ -0,0 +1,111 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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 resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var ones = require( '@stdlib/array/ones' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var floor = require( '@stdlib/math/base/special/floor' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var ssymv = tryRequire( resolve( __dirname, './../lib/ssymv.native.js' ) ); +var opts = { + 'skip': ( ssymv instanceof Error ) +}; +var options = { + 'dtype': 'float32' +}; + + +// FUNCTIONS // + +/** +* Creates a benchmark function. +* +* @private +* @param {PositiveInteger} N - number of elements along each dimension +* @returns {Function} benchmark function +*/ +function createBenchmark( N ) { + var x = uniform( N, -10.0, 10.0, options ); + var y = uniform( N, -10.0, 10.0, options ); + var A = ones( N*N, options.dtype ); + return benchmark; + + /** + * Benchmark function. + * + * @private + * @param {Benchmark} b - benchmark instance + */ + function benchmark( b ) { + var z; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = ssymv( 'upper', N, 1.0, A, N, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); + if ( isnanf( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var min; + var max; + var N; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + N = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( N ); + bench( pkg+':ndarray:size='+(N*N), opts, f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/c/Makefile b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/c/Makefile new file mode 100644 index 000000000000..cce2c865d7ad --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.length.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/c/benchmark.length.c b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/c/benchmark.length.c new file mode 100644 index 000000000000..3ee2ea05539b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/benchmark/c/benchmark.length.c @@ -0,0 +1,183 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +#include "stdlib/blas/base/ssymv.h" +#include "stdlib/blas/ext/base/sfill.h" +#include "stdlib/math/base/special/floorf.h" +#include +#include +#include +#include +#include + +#define NAME "ssymv" +#define ITERATIONS 10000000 +#define REPEATS 3 +#define MIN 1 +#define MAX 6 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmarks results. +* +* @param iterations number of iterations +* @param elapsed elapsed time in seconds +*/ +static void print_results( int iterations, double elapsed ) { + double rate = (double)iterations / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", iterations ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Runs a benchmark. +* +* @param iterations number of iterations +* @param len array length +* @return elapsed time in seconds +*/ +static double benchmark1( int iterations, int len ) { + double elapsed; + float A[ len*len ]; + float X[ len ]; + float Y[ len ]; + double t; + int i; + + stdlib_strided_sfill( len, 1.0f, X, 1 ); + stdlib_strided_sfill( len, 1.0f, Y, 1 ); + stdlib_strided_sfill( len*len, 1.0f, A, 1 ); + t = tic(); + for ( i = 0; i < iterations; i++ ) { + c_ssymv( CblasRowMajor, CblasLower, len, 1.0, A, len, X, 1, 1.0, Y, 1 ); + if ( Y[ 0 ] != Y[ 0 ] ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( Y[ 0 ] != Y[ 0 ] ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Runs a benchmark. +* +* @param iterations number of iterations +* @param len array length +* @return elapsed time in seconds +*/ +static double benchmark2( int iterations, int len ) { + double elapsed; + float A[ len*len ]; + float X[ len ]; + float Y[ len ]; + double t; + int i; + + stdlib_strided_sfill( len, 1.0f, X, 1 ); + stdlib_strided_sfill( len, 1.0f, Y, 1 ); + stdlib_strided_sfill( len*len, 1.0f, A, 1 ); + t = tic(); + for ( i = 0; i < iterations; i++ ) { + c_ssymv_ndarray( CblasLower, len, 1.0, A, len, 1, 0, X, 1, 0, 1.0, Y, 1, 0 ); + if ( Y[ 0 ] != Y[ 0 ] ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( Y[ 0 ] != Y[ 0 ] ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int count; + int iter; + int len; + int i; + int j; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + count = 0; + for ( i = MIN; i <= MAX; i++ ) { + len = stdlib_base_floorf( pow( pow( 10, i ), 1.0/2.0 ) ); + iter = ITERATIONS / pow( 10, i-1 ); + for ( j = 0; j < REPEATS; j++ ) { + count += 1; + printf( "# c::%s:len=%d\n", NAME, len ); + elapsed = benchmark1( iter, len ); + print_results( iter, elapsed ); + printf( "ok %d benchmark finished\n", count ); + } + for ( j = 0; j < REPEATS; j++ ) { + count += 1; + printf( "# c::%s:ndarray:len=%d\n", NAME, len ); + elapsed = benchmark2( iter, len ); + print_results( iter, elapsed ); + printf( "ok %d benchmark finished\n", count ); + } + } + print_summary( count, count ); +} diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/binding.gyp b/lib/node_modules/@stdlib/blas/base/ssymv/binding.gyp new file mode 100644 index 000000000000..864d9109e892 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/binding.gyp @@ -0,0 +1,265 @@ +# @license Apache-2.0 +# +# Copyright (c) 2018 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. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Fortran compiler (to override -Dfortran_compiler=): + 'fortran_compiler%': 'gfortran', + + # Fortran compiler flags: + 'fflags': [ + # Specify the Fortran standard to which a program is expected to conform: + '-std=f95', + + # Indicate that the layout is free-form source code: + '-ffree-form', + + # Aggressive optimization: + '-O3', + + # Enable commonly used warning options: + '-Wall', + + # Warn if source code contains problematic language features: + '-Wextra', + + # Warn if a procedure is called without an explicit interface: + '-Wimplicit-interface', + + # Do not transform names of entities specified in Fortran source files by appending underscores (i.e., don't mangle names, thus allowing easier usage in C wrappers): + '-fno-underscoring', + + # Warn if source code contains Fortran 95 extensions and C-language constructs: + '-pedantic', + + # Compile but do not link (output is an object file): + '-c', + ], + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + + # Define custom build actions for particular inputs: + 'rules': [ + { + # Define a rule for processing Fortran files: + 'extension': 'f', + + # Define the pathnames to be used as inputs when performing processing: + 'inputs': [ + # Full path of the current input: + '<(RULE_INPUT_PATH)' + ], + + # Define the outputs produced during processing: + 'outputs': [ + # Store an output object file in a directory for placing intermediate results (only accessible within a single target): + '<(INTERMEDIATE_DIR)/<(RULE_INPUT_ROOT).<(obj)' + ], + + # Define the rule for compiling Fortran based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + + # Rule to compile Fortran on Windows: + { + 'rule_name': 'compile_fortran_windows', + 'message': 'Compiling Fortran file <(RULE_INPUT_PATH) on Windows...', + + 'process_outputs_as_sources': 0, + + # Define the command-line invocation: + 'action': [ + '<(fortran_compiler)', + '<@(fflags)', + '<@(_inputs)', + '-o', + '<@(_outputs)', + ], + }, + + # Rule to compile Fortran on non-Windows: + { + 'rule_name': 'compile_fortran_linux', + 'message': 'Compiling Fortran file <(RULE_INPUT_PATH) on Linux...', + + 'process_outputs_as_sources': 1, + + # Define the command-line invocation: + 'action': [ + '<(fortran_compiler)', + '<@(fflags)', + '-fPIC', # generate platform-independent code + '<@(_inputs)', + '-o', + '<@(_outputs)', + ], + } + ], # end condition (OS=="win") + ], # end conditions + }, # end rule (extension=="f") + ], # end rules + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/examples/c/Makefile b/lib/node_modules/@stdlib/blas/base/ssymv/examples/c/Makefile new file mode 100644 index 000000000000..25ced822f96a --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/examples/c/example.c b/lib/node_modules/@stdlib/blas/base/ssymv/examples/c/example.c new file mode 100644 index 000000000000..c7a4e1adf0fc --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/examples/c/example.c @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +#include "stdlib/blas/base/ssymv.h" +#include "stdlib/blas/base/shared.h" +#include + +int main( void ) { + // Create a strided array: + const float A[] = { 1.0f, 2.0f, 3.0f, 0.0f, 1.0f, 2.0f, 0.0f, 0.0f, 1.0f }; + float X[] = { 1.0f, 2.0f, 3.0f }; + float Y[] = { 1.0f, 2.0f, 3.0f }; + + // Specify the number of elements along each dimension of `A`: + const int N = 3; + + // Perform the matrix-vector operations `Y = α*A*X + β*Y`: + c_ssymv( CblasRowMajor, CblasUpper, N, 2.0, A, N, X, 1, 0.0, Y, 1 ); + + // Print the result: + for ( int i = 0; i < N; i++ ) { + printf( "Y[ %i ] = %f\n", i, Y[ i ] ); + } + + // Perform the matrix-vector operations `Y = α*A*X + β*Y`: + c_ssymv_ndarray( CblasUpper, N, 2.0, A, N, 1, 0, X, 1, 0, 0.0, Y, 1, 0 ); + + // Print the result: + for ( int i = 0; i < N; i++ ) { + printf( "Y[ %i ] = %f\n", i, Y[ i ] ); + } +} diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/include.gypi b/lib/node_modules/@stdlib/blas/base/ssymv/include.gypi new file mode 100644 index 000000000000..f8b01bfb52cb --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/include.gypi @@ -0,0 +1,70 @@ +# @license Apache-2.0 +# +# Copyright (c) 2023 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. + +# A GYP include file for building a Node.js native add-on. +# +# Note that nesting variables is required due to how GYP processes a configuration. Any variables defined within a nested 'variables' section is defined in the outer scope. Thus, conditions in the outer variable scope are free to use these variables without running into "variable undefined" errors. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +# +# Variable nesting hacks: +# +# [3]: https://chromium.googlesource.com/external/skia/gyp/+/master/common_variables.gypi +# [4]: https://src.chromium.org/viewvc/chrome/trunk/src/build/common.gypi?revision=127004 +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + 'variables': { + # Host BLAS library (to override -Dblas=): + 'blas%': '', + + # Path to BLAS library (to override -Dblas_dir=): + 'blas_dir%': '', + }, # end variables + + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + '<@(blas_dir)', + ' [ 1.0, 2.0, 3.0 ] +*/ +function ssymv( uplo, N, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len + addon.ndarray( resolveUplo( uplo ), N, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY ); // eslint-disable-line max-len + return y; +} + + +// EXPORTS // + +module.exports = ssymv; diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/lib/ssymv.native.js b/lib/node_modules/@stdlib/blas/base/ssymv/lib/ssymv.native.js new file mode 100644 index 000000000000..d808c763f411 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/lib/ssymv.native.js @@ -0,0 +1,70 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 resolveOrder = require( '@stdlib/blas/base/layout-resolve-enum' ); +var resolveUplo = require( '@stdlib/blas/base/matrix-triangle-resolve-enum' ); +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Performs the matrix-vector operation `y = α*A*x + β*y` where `α` and `β` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix. +* +* @param {string} order - storage layout +* @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` should be referenced +* @param {NonNegativeInteger} N - number of elements along each dimension of `A` +* @param {number} alpha - scalar constant +* @param {Float32Array} A - input matrix +* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) +* @param {Float32Array} x - first input array +* @param {integer} strideX - `x` stride length +* @param {number} beta - scalar constant +* @param {Float32Array} y - second input array +* @param {integer} strideY - `y` stride length +* @throws {TypeError} first argument must be a valid order +* @throws {TypeError} second argument must specify whether to reference the lower or upper triangular matrix +* @throws {RangeError} third argument must be a nonnegative integer +* @throws {RangeError} sixth argument must be greater than or equal to max(1,N) +* @throws {RangeError} eighth argument must be non-zero +* @throws {RangeError} eleventh argument must be non-zero +* @returns {Float32Array} `y` +* +* @example +* var Float32Array = require( '@stdlib/array/float32' ); +* +* var A = new Float32Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] ); +* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float32Array( [ 0.0, 0.0, 0.0 ] ); +* +* ssymv( 'row-major', 'lower', 3, 1.0, A, 3, x, 1, 0.0, y, 1 ); +* // y => [ 1.0, 2.0, 3.0 ] +*/ +function ssymv( order, uplo, N, alpha, A, LDA, x, strideX, beta, y, strideY ) { // eslint-disable-line max-params + addon( resolveOrder( order ), resolveUplo( uplo ), N, alpha, A, LDA, x, strideX, beta, y, strideY ); // eslint-disable-line max-len + return x; +} + + +// EXPORTS // + +module.exports = ssymv; diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/manifest.json b/lib/node_modules/@stdlib/blas/base/ssymv/manifest.json new file mode 100644 index 000000000000..80cbd8ab84b4 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/manifest.json @@ -0,0 +1,504 @@ +{ + "options": { + "task": "build", + "os": "linux", + "blas": "", + "wasm": false + }, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": 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"@stdlib/blas/base/shared", + "@stdlib/blas/base/sscal", + "@stdlib/blas/ext/base/sfill", + "@stdlib/strided/base/stride2offset", + "@stdlib/ndarray/base/assert/is-row-major", + "@stdlib/math/base/special/floorf" + ] + }, + { + "task": "examples", + "os": "mac", + "blas": "", + "wasm": false, + "src": [ + "./src/ssymv.c", + "./src/ssymv_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/sscal", + "@stdlib/blas/ext/base/sfill", + "@stdlib/strided/base/stride2offset", + "@stdlib/ndarray/base/assert/is-row-major" + ] + }, + + { + "task": "build", + "os": "mac", + "blas": "apple_accelerate_framework", + "wasm": false, + "src": [ + "./src/ssymv_cblas.c" + ], + "include": [ + "./include" + ], + "libraries": [ + "-lblas" + ], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/strided/base/min-view-buffer-index", + "@stdlib/ndarray/base/min-view-buffer-index", + 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"@stdlib/napi/argv-int32", + "@stdlib/napi/argv-float", + "@stdlib/napi/argv-strided-float32array", + "@stdlib/napi/argv-strided-float32array2d" + ] + }, + { + "task": "benchmark", + "os": "win", + "blas": "", + "wasm": false, + "src": [ + "./src/ssymv.c", + "./src/ssymv_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/sscal", + "@stdlib/blas/ext/base/sfill", + "@stdlib/strided/base/stride2offset", + "@stdlib/ndarray/base/assert/is-row-major", + "@stdlib/math/base/special/floorf" + ] + }, + { + "task": "examples", + "os": "win", + "blas": "", + "wasm": false, + "src": [ + "./src/ssymv.c", + "./src/ssymv_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/sscal", + "@stdlib/blas/ext/base/sfill", + "@stdlib/strided/base/stride2offset", + "@stdlib/ndarray/base/assert/is-row-major" + ] + }, + + { + "task": "build", + "os": "", + "blas": "", + "wasm": true, + "src": [ + "./src/ssymv.c", + "./src/ssymv_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/sscal", + "@stdlib/blas/ext/base/sfill", + "@stdlib/strided/base/stride2offset", + "@stdlib/ndarray/base/assert/is-row-major" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/package.json b/lib/node_modules/@stdlib/blas/base/ssymv/package.json index 7f5d309e891e..3bc6a2525757 100644 --- a/lib/node_modules/@stdlib/blas/base/ssymv/package.json +++ b/lib/node_modules/@stdlib/blas/base/ssymv/package.json @@ -14,11 +14,15 @@ } ], "main": "./lib", + "browser": "./lib/main.js", + "gypfile": true, "directories": { "benchmark": "./benchmark", "doc": "./docs", "example": "./examples", + "include": "./include", "lib": "./lib", + "src": "./src", "test": "./test" }, "types": "./docs/types", diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/src/Makefile b/lib/node_modules/@stdlib/blas/base/ssymv/src/Makefile new file mode 100644 index 000000000000..dd720a3de8f2 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @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. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/src/addon.c b/lib/node_modules/@stdlib/blas/base/ssymv/src/addon.c new file mode 100644 index 000000000000..ca469a494d60 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/src/addon.c @@ -0,0 +1,104 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +#include "stdlib/blas/base/ssymv.h" +#include "stdlib/blas/base/shared.h" +#include "stdlib/napi/export.h" +#include "stdlib/napi/argv.h" +#include "stdlib/napi/argv_int64.h" +#include "stdlib/napi/argv_int32.h" +#include "stdlib/napi/argv_float.h" +#include "stdlib/napi/argv_strided_float32array.h" +#include "stdlib/napi/argv_strided_float32array2d.h" +#include + +/** +* Receives JavaScript callback invocation data. +* +* @param env environment under which the function is invoked +* @param info callback data +* @return Node-API value +*/ +static napi_value addon( napi_env env, napi_callback_info info ) { + STDLIB_NAPI_ARGV( env, info, argv, argc, 11 ); + + STDLIB_NAPI_ARGV_INT32( env, order, argv, 0 ); + STDLIB_NAPI_ARGV_INT32( env, uplo, argv, 1 ); + + STDLIB_NAPI_ARGV_INT64( env, N, argv, 2 ); + STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 7 ); + STDLIB_NAPI_ARGV_INT64( env, strideY, argv, 10 ); + STDLIB_NAPI_ARGV_INT64( env, LDA, argv, 5 ); + + STDLIB_NAPI_ARGV_FLOAT( env, alpha, argv, 3 ); + STDLIB_NAPI_ARGV_FLOAT( env, beta, argv, 8 ); + + CBLAS_INT sa1; + CBLAS_INT sa2; + + if ( order == CblasColMajor ) { + sa1 = 1; + sa2 = LDA; + } else { // order === 'row-major' + sa1 = LDA; + sa2 = 1; + } + + STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, X, N, strideX, argv, 6 ); + STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, Y, N, strideY, argv, 9 ); + STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY2D( env, A, N, N, sa1, sa2, argv, 4 ); + + API_SUFFIX(c_ssymv)( order, uplo, N, alpha, A, LDA, X, strideX, beta, Y, strideY ); + + return NULL; +} + +/** +* Receives JavaScript callback invocation data. +* +* @param env environment under which the function is invoked +* @param info callback data +* @return Node-API value +*/ +static napi_value addon_method( napi_env env, napi_callback_info info ) { + STDLIB_NAPI_ARGV( env, info, argv, argc, 14 ); + + STDLIB_NAPI_ARGV_INT32( env, uplo, argv, 0 ); + + STDLIB_NAPI_ARGV_INT64( env, N, argv, 1 ); + STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 8 ); + STDLIB_NAPI_ARGV_INT64( env, offsetX, argv, 9 ); + STDLIB_NAPI_ARGV_INT64( env, strideY, argv, 12 ); + STDLIB_NAPI_ARGV_INT64( env, offsetY, argv, 13 ); + STDLIB_NAPI_ARGV_INT64( env, strideA1, argv, 4 ); + STDLIB_NAPI_ARGV_INT64( env, strideA2, argv, 5 ); + STDLIB_NAPI_ARGV_INT64( env, offsetA, argv, 6 ); + + STDLIB_NAPI_ARGV_FLOAT( env, alpha, argv, 2 ); + STDLIB_NAPI_ARGV_FLOAT( env, beta, argv, 10 ); + + STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, X, N, strideX, argv, 7 ); + STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, Y, N, strideY, argv, 11 ); + STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY2D( env, A, N, N, strideA1, strideA2, argv, 3 ); + + API_SUFFIX(c_ssymv_ndarray)( uplo, N, alpha, A, strideA1, strideA2, offsetA, X, strideX, offsetX, beta, Y, strideY, offsetY ); + + return NULL; +} + +STDLIB_NAPI_MODULE_EXPORT_FCN_WITH_METHOD( addon, "ndarray", addon_method ) diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv.c b/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv.c new file mode 100644 index 000000000000..51f08eb94770 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv.c @@ -0,0 +1,55 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +#include "stdlib/blas/base/ssymv.h" +#include "stdlib/blas/base/shared.h" +#include "stdlib/strided/base/stride2offset.h" + +/** +* Performs the matrix-vector operation `Y = α*A*X + β*Y` where `α` and `β` are scalars, `X` and `Y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form. +* +* @param order storage layout +* @param uplo specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied +* @param N number of elements along each dimension of `A` +* @param alpha scalar constant +* @param A input matrix +* @param LDA stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) +* @param X first input array +* @param strideX `X` stride length +* @param beta scalar constant +* @param Y second input array +* @param strideY `Y` stride length +*/ +void API_SUFFIX(c_ssymv)( const CBLAS_LAYOUT order, const CBLAS_UPLO uplo, const CBLAS_INT N, const float alpha, const float *A, const CBLAS_INT LDA, const float *X, const CBLAS_INT strideX, const float beta, float *Y, const CBLAS_INT strideY ) { + CBLAS_INT sa1; + CBLAS_INT sa2; + CBLAS_INT ox; + CBLAS_INT oy; + + if ( order == CblasColMajor ) { + sa1 = 1; + sa2 = LDA; + } else { // order === 'row-major' + sa1 = LDA; + sa2 = 1; + } + ox = stdlib_strided_stride2offset( N, strideX ); + oy = stdlib_strided_stride2offset( N, strideY ); + API_SUFFIX(c_ssymv_ndarray)( uplo, N, alpha, A, sa1, sa2, 0, X, strideX, ox, beta, Y, strideY, oy ); + return; +} diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv_cblas.c b/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv_cblas.c new file mode 100644 index 000000000000..653dbf44bc90 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv_cblas.c @@ -0,0 +1,87 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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. +*/ + +#include "stdlib/blas/base/ssymv.h" +#include "stdlib/blas/base/ssymv_cblas.h" +#include "stdlib/blas/base/shared.h" +#include "stdlib/strided/base/min_view_buffer_index.h" +#include "stdlib/ndarray/base/min_view_buffer_index.h" + +/** +* Performs the matrix-vector operation `Y = α*A*X + β*Y` where `α` and `β` are scalars, `X` and `Y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form. +* +* @param order storage layout +* @param uplo specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied +* @param N number of elements along each dimension of `A` +* @param alpha scalar constant +* @param A input matrix +* @param LDA stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) +* @param X first input array +* @param strideX `X` stride length +* @param beta scalar constant +* @param Y second input array +* @param strideY `Y` stride length +* @return output value +*/ +float API_SUFFIX(c_ssymv)( const CBLAS_LAYOUT order, const CBLAS_UPLO uplo, const CBLAS_INT N, const float alpha, const float *A, const CBLAS_INT LDA, const float *X, const CBLAS_INT strideX, const float beta, float *Y, const CBLAS_INT strideY ) { + CBLAS_INT sx = strideX; + CBLAS_INT sy = strideY; + if ( sx < 0 ) { + sx = -sx; + } + if ( sy < 0 ) { + sy = -sy; + } + return API_SUFFIX(cblas_ssymv)( order, uplo, N, alpha, A, LDA, X, sx, beta, Y, sy ); +} + +/** +* Performs the matrix-vector operation `Y = α*A*X + β*Y` using alternative indexing semantics, where `α` and `β` are scalars, `X` and `Y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form. +* +* @param uplo specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied +* @param N number of elements along each dimension of `A` +* @param alpha scalar constant +* @param A input matrix +* @param strideA1 stride of the first dimension of `A` +* @param strideA2 stride of the second dimension of `A` +* @param offsetA starting index for `A` +* @param X first input array +* @param strideX `X` stride length +* @param offsetX starting `X` index +* @param beta scalar constant +* @param Y second input array +* @param strideY `Y` stride length +* @param offsetY starting `Y` index +* @return output value +*/ +float API_SUFFIX(c_ssymv_ndarray)( const CBLAS_UPLO uplo, const CBLAS_INT N, const float alpha, const float *A, const CBLAS_INT strideA1, const CBLAS_INT strideA2, const CBLAS_INT offsetA, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const float beta, float *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY ) { + CBLAS_INT sx = strideX; + CBLAS_INT sy = strideY; + if ( sx < 0 ) { + sx = -sx; + } + if ( sy < 0 ) { + sy = -sy; + } + X += stdlib_strided_min_view_buffer_index( N, strideX, offsetX ); // adjust array pointer + Y += stdlib_strided_min_view_buffer_index( N, strideY, offsetY ); // adjust array pointer + const int64_t shape[] = { N, N }; + const int64_t strides[] = { strideA1, strideA2 }; + A += stdlib_ndarray_min_view_buffer_index( 2, shape, strides, offsetA ); // adjust array pointer + return API_SUFFIX(cblas_ssymv)( order, uplo, N, alpha, A, LDA, X, sx, beta, Y, sy ); +} diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv_ndarray.c b/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv_ndarray.c new file mode 100644 index 000000000000..be7328514572 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/src/ssymv_ndarray.c @@ -0,0 +1,126 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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. +*/ + +#include "stdlib/blas/base/ssymv.h" +#include "stdlib/blas/base/shared.h" +#include "stdlib/blas/ext/base/sfill.h" +#include "stdlib/blas/base/sscal.h" +#include "stdlib/ndarray/base/assert/is_row_major.h" + +/** +* Performs the matrix-vector operation `Y = α*A*X + β*Y` using alternative indexing semantics, where `α` and `β` are scalars, `X` and `Y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form. +* +* @param uplo specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied +* @param N number of elements along each dimension of `A` +* @param alpha scalar constant +* @param A input matrix +* @param strideA1 stride of the first dimension of `A` +* @param strideA2 stride of the second dimension of `A` +* @param offsetA starting index for `A` +* @param X first input array +* @param strideX `X` stride length +* @param offsetX starting `X` index +* @param beta scalar constant +* @param Y second input array +* @param strideY `Y` stride length +* @param offsetY starting `Y` index +*/ +void API_SUFFIX(c_ssymv_ndarray)( const CBLAS_UPLO uplo, const CBLAS_INT N, const float alpha, const float *A, const CBLAS_INT strideA1, const CBLAS_INT strideA2, const CBLAS_INT offsetA, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const float beta, float *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY ) { + CBLAS_INT isrm; + CBLAS_INT tmp2; + CBLAS_INT tmp1; + CBLAS_INT sa1; + CBLAS_INT sa0; + CBLAS_INT ix1; + CBLAS_INT ix0; + CBLAS_INT iy1; + CBLAS_INT iy0; + CBLAS_INT i1; + CBLAS_INT i0; + CBLAS_INT oa; + + // Note on variable naming convention: sa#, ix#, i# where # corresponds to the loop number, with `0` being the innermost loop... + + int64_t strides[] = { strideA1, strideA2 }; + isrm = stdlib_ndarray_is_row_major( 2, strides ); + + if ( isrm ) { + sa0 = strideA2; + sa1 = strideA1; + } else { + sa0 = strideA1; + sa1 = strideA2; + } + // Y = beta*Y + if ( beta != 1.0f ) { + if ( beta == 0.0f ) { + stdlib_strided_sfill_ndarray( N, 0.0f, Y, strideY, offsetY ); + } else { + c_sscal_ndarray( N, beta, Y, strideY, offsetY ); + } + } + if ( N == 0 || ( alpha == 0.0f && beta == 1.0f ) ) { + return; + } + // Form: Y = α*A*X + Y + if ( + ( !isrm && uplo == CblasUpper ) || + ( isrm && uplo == CblasLower ) + ) { + ix1 = offsetX; + iy1 = offsetY; + for ( i1 = 0; i1 < N; i1++ ) { + tmp1 = alpha * X[ ix1 ]; + tmp2 = 0.0f; + ix0 = offsetX; + iy0 = offsetY; + oa = offsetA + (sa1*i1); + for ( i0 = 0; i0 < i1; i0++ ) { + Y[ iy0 ] += tmp1 * A[ oa+(sa0*i0) ]; + tmp2 += A[ oa+(sa0*i0) ] * X[ ix0 ]; + ix0 += strideX; + iy0 += strideY; + } + Y[ iy1 ] += ( tmp1 * A[ oa+(sa0*i1) ] ) + ( alpha * tmp2 ); // eslint-disable-line max-len + ix1 += strideX; + iy1 += strideY; + } + return; + } + // ( !isrm && uplo === 'CblasLower' ) || ( isrm && uplo === 'CblasUpper' ) + ix1 = offsetX; + iy1 = offsetY; + for ( i1 = 0; i1 < N; i1++ ) { + tmp1 = alpha * X[ ix1 ]; + tmp2 = 0.0f; + oa = offsetA + (sa1*i1); + Y[ iy1 ] += tmp1 * A[ oa+(sa0*i1) ]; + ix0 = ix1; + iy0 = iy1; + for ( i0 = i1+1; i0 < N; i0++ ) { + ix0 += strideX; + iy0 += strideY; + Y[ iy0 ] += tmp1 * A[ oa+(sa0*i0) ]; + tmp2 += A[ oa+(sa0*i0) ] * X[ ix0 ]; + } + Y[ iy1 ] += alpha * tmp2; + ix1 += strideX; + iy1 += strideY; + } + return; +} diff --git a/lib/node_modules/@stdlib/blas/base/ssymv/test/test.ndarray.native.js b/lib/node_modules/@stdlib/blas/base/ssymv/test/test.ndarray.native.js new file mode 100644 index 000000000000..5c08320bf87f --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/ssymv/test/test.ndarray.native.js @@ -0,0 +1,465 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 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. +*/ + +/* eslint-disable max-len */ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var Float32Array = require( '@stdlib/array/float32' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var ones = require( '@stdlib/array/ones' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var rxoyt = require( './fixtures/row_major_xoyt.json' ); +var rxpyp = require( './fixtures/row_major_xpyp.json' ); +var rxnyp = require( './fixtures/row_major_xnyp.json' ); +var rxpyn = require( './fixtures/row_major_xpyn.json' ); +var rxnyn = require( './fixtures/row_major_xnyn.json' ); + +var cxoyt = require( './fixtures/column_major_xoyt.json' ); +var cxpyp = require( './fixtures/column_major_xpyp.json' ); +var cxnyp = require( './fixtures/column_major_xnyp.json' ); +var cxpyn = require( './fixtures/column_major_xpyn.json' ); +var cxnyn = require( './fixtures/column_major_xnyn.json' ); + + +// VARIABLES // + +var ssymv = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) ); +var opts = { + 'skip': ( ssymv instanceof Error ) +}; + + +// FUNCTIONS // + +/** +* Tests for element-wise approximate equality. +* +* @private +* @param {Object} t - test object +* @param {Collection} actual - actual values +* @param {Collection} expected - expected values +* @param {number} rtol - relative tolerance +*/ +function isApprox( t, actual, expected, rtol ) { + var delta; + var tol; + var i; + + t.strictEqual( actual.length, expected.length, 'returns expected value' ); + for ( i = 0; i < expected.length; i++ ) { + if ( actual[ i ] === expected[ i ] ) { + t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' ); + } else { + delta = abs( actual[ i ] - expected[ i ] ); + tol = rtol * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } +} + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof ssymv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 14', opts, function test( t ) { + t.strictEqual( ssymv.length, 14, 'returns expected value' ); + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (row-major, sx=1, sy=1)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( rxpyp.A ); + x = new Float32Array( rxpyp.x ); + y = new Float32Array( rxpyp.y ); + + expected = new Float32Array( rxpyp.y_out ); + + out = ssymv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, y, rxpyp.strideY, rxpyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (column-major, sx=1, sy=1)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( cxpyp.A ); + x = new Float32Array( cxpyp.x ); + y = new Float32Array( cxpyp.y ); + + expected = new Float32Array( cxpyp.y_out ); + + out = ssymv( cxpyp.order, cxpyp.uplo, cxpyp.N, cxpyp.alpha, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.offsetX, cxpyp.beta, y, cxpyp.strideY, cxpyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (row-major, sx=1, sy=2)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( rxoyt.A ); + x = new Float32Array( rxoyt.x ); + y = new Float32Array( rxoyt.y ); + + expected = new Float32Array( rxoyt.y_out ); + + out = ssymv( rxoyt.order, rxoyt.uplo, rxoyt.N, rxoyt.alpha, a, rxoyt.lda, x, rxoyt.strideX, rxoyt.offsetX, rxoyt.beta, y, rxoyt.strideY, rxoyt.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (column-major, sx=1, sy=2)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( cxoyt.A ); + x = new Float32Array( cxoyt.x ); + y = new Float32Array( cxoyt.y ); + + expected = new Float32Array( cxoyt.y_out ); + + out = ssymv( cxoyt.order, cxoyt.uplo, cxoyt.N, cxoyt.alpha, a, cxoyt.lda, x, cxoyt.strideX, cxoyt.offsetX, cxoyt.beta, y, cxoyt.strideY, cxoyt.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (row-major, sx=1, sy=-1)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( rxpyn.A ); + x = new Float32Array( rxpyn.x ); + y = new Float32Array( rxpyn.y ); + + expected = new Float32Array( rxpyn.y_out ); + + out = ssymv( rxpyn.order, rxpyn.uplo, rxpyn.N, rxpyn.alpha, a, rxpyn.lda, x, rxpyn.strideX, rxpyn.offsetX, rxpyn.beta, y, rxpyn.strideY, rxpyn.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (column-major, sx=1, sy=-1)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( cxpyn.A ); + x = new Float32Array( cxpyn.x ); + y = new Float32Array( cxpyn.y ); + + expected = new Float32Array( cxpyn.y_out ); + + out = ssymv( cxpyn.order, cxpyn.uplo, cxpyn.N, cxpyn.alpha, a, cxpyn.lda, x, cxpyn.strideX, cxpyn.offsetX, cxpyn.beta, y, cxpyn.strideY, cxpyn.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (row-major, sx=-1, sy=1)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( rxnyp.A ); + x = new Float32Array( rxnyp.x ); + y = new Float32Array( rxnyp.y ); + + expected = new Float32Array( rxnyp.y_out ); + + out = ssymv( rxnyp.order, rxnyp.uplo, rxnyp.N, rxnyp.alpha, a, rxnyp.lda, x, rxnyp.strideX, rxnyp.offsetX, rxnyp.beta, y, rxnyp.strideY, rxnyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `n` element vectors, and `A` is an `n` by `n` symmetric matrix (column-major, sx=-1, sy=1)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( cxnyp.A ); + x = new Float32Array( cxnyp.x ); + y = new Float32Array( cxnyp.y ); + + expected = new Float32Array( cxnyp.y_out ); + + out = ssymv( cxnyp.order, cxnyp.uplo, cxnyp.N, cxnyp.alpha, a, cxnyp.lda, x, cxnyp.strideX, cxnyp.offsetX, cxnyp.beta, y, cxnyp.strideY, cxnyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function returns a reference to the second input vector', opts, function test( t ) { + var out; + var a; + var x; + var y; + + a = new Float32Array( rxpyp.A ); + x = new Float32Array( rxpyp.x ); + y = new Float32Array( rxpyp.y ); + + out = ssymv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, y, rxpyp.strideY, rxpyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `N` is zero or the scalar constants are zero and unity, respectively, the function returns the second input vector unchanged (row-major)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( rxpyp.A ); + x = new Float32Array( rxpyp.x ); + y = new Float32Array( rxpyp.y ); + + expected = new Float32Array( rxpyp.y ); + + out = ssymv( rxpyp.order, rxpyp.uplo, 0, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, y, rxpyp.strideY, rxpyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + out = ssymv( rxpyp.order, rxpyp.uplo, rxpyp.N, 0.0, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, 1.0, y, rxpyp.strideY, rxpyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `N` is zero or the scalar constants are zero and unity, respectively, the function returns the second input vector unchanged (column-major)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( cxpyp.A ); + x = new Float32Array( cxpyp.x ); + y = new Float32Array( cxpyp.y ); + + expected = new Float32Array( cxpyp.y ); + + out = ssymv( cxpyp.order, cxpyp.uplo, 0, cxpyp.alpha, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.offsetX, cxpyp.beta, y, cxpyp.strideY, cxpyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + out = ssymv( cxpyp.order, cxpyp.uplo, cxpyp.N, 0.0, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.offsetX, 1.0, y, cxpyp.strideY, cxpyp.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'when `α` is zero, the function scales the second input vector (row-major, upper)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = ones( 9, 'float32' ); + x = ones( 3, 'float32' ); + y = ones( 3, 'float32' ); + + expected = new Float32Array( [ 5.0, 5.0, 5.0 ] ); + + out = ssymv( 'row-major', 'upper', 3, 0.0, a, 3, x, 1, 0, 5.0, y, 1, 0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + expected = new Float32Array( [ 0.0, 0.0, 0.0 ] ); + + out = ssymv( 'row-major', 'upper', 3, 0.0, a, 3, x, 1, 0, 0.0, y, -1, 2 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'when `α` is zero, the function scales the second input vector (row-major, lower)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = ones( 9, 'float32' ); + x = ones( 3, 'float32' ); + y = ones( 3, 'float32' ); + + expected = new Float32Array( [ 5.0, 5.0, 5.0 ] ); + + out = ssymv( 'row-major', 'lower', 3, 0.0, a, 3, x, 1, 0, 5.0, y, -1, 2 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + expected = new Float32Array( [ 0.0, 0.0, 0.0 ] ); + + out = ssymv( 'row-major', 'lower', 3, 0.0, a, 3, x, 1, 0, 0.0, y, 1, 0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'when `α` is zero, the function scales the second input vector (column-major, upper)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = ones( 9, 'float32' ); + x = ones( 3, 'float32' ); + y = ones( 3, 'float32' ); + + expected = new Float32Array( [ 5.0, 5.0, 5.0 ] ); + + out = ssymv( 'column-major', 'upper', 3, 0.0, a, 3, x, 1, 0, 5.0, y, 1, 0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + expected = new Float32Array( [ 0.0, 0.0, 0.0 ] ); + + out = ssymv( 'column-major', 'upper', 3, 0.0, a, 3, x, 1, 0, 0.0, y, -1, 2 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'when `α` is zero, the function scales the second input vector (column-major, lower)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = ones( 9, 'float32' ); + x = ones( 3, 'float32' ); + y = ones( 3, 'float32' ); + + expected = new Float32Array( [ 5.0, 5.0, 5.0 ] ); + + out = ssymv( 'column-major', 'lower', 3, 0.0, a, 3, x, 1, 0, 5.0, y, -1, 2 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + expected = new Float32Array( [ 0.0, 0.0, 0.0 ] ); + + out = ssymv( 'column-major', 'lower', 3, 0.0, a, 3, x, 1, 0, 0.0, y, 1, 0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( y, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports complex access patterns (row-major)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( rxnyn.A ); + x = new Float32Array( rxnyn.x ); + y = new Float32Array( rxnyn.y ); + + expected = new Float32Array( rxnyn.y_out ); + + out = ssymv( rxnyn.order, rxnyn.uplo, rxnyn.N, rxnyn.alpha, a, rxnyn.lda, x, rxnyn.strideX, rxnyn.offsetX, rxnyn.beta, y, rxnyn.strideY, rxnyn.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +}); + +tape( 'the function supports complex access patterns (column-major)', opts, function test( t ) { + var expected; + var out; + var a; + var x; + var y; + + a = new Float32Array( cxnyn.A ); + x = new Float32Array( cxnyn.x ); + y = new Float32Array( cxnyn.y ); + + expected = new Float32Array( cxnyn.y_out ); + + out = ssymv( cxnyn.order, cxnyn.uplo, cxnyn.N, cxnyn.alpha, a, cxnyn.lda, x, cxnyn.strideX, cxnyn.offsetX, cxnyn.beta, y, cxnyn.strideY, cxnyn.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + isApprox( t, y, expected, 2.0 ); + + t.end(); +});