diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/README.md b/lib/node_modules/@stdlib/blas/base/zaxpy/README.md index 12e11b4a6dd3..220a72046d2f 100644 --- a/lib/node_modules/@stdlib/blas/base/zaxpy/README.md +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/README.md @@ -51,9 +51,9 @@ The function has the following parameters: - **N**: number of indexed elements. - **alpha**: scalar [`Complex128`][@stdlib/complex/float64/ctor] constant. - **x**: first input [`Complex128Array`][@stdlib/array/complex128]. -- **strideX**: index increment for `x`. +- **strideX**: stride length for `x`. - **y**: second input [`Complex128Array`][@stdlib/array/complex128]. -- **strideY**: index increment for `y`. +- **strideY**: stride length for `y`. The `N` and stride parameters determine how values from `x` are scaled by `alpha` and added to `y`. For example, to scale every other value in `x` by `alpha` and add the result to every other value of `y`, @@ -137,6 +137,7 @@ zaxpy.ndarray( 3, alpha, x, 1, 1, y, 1, 1 ); ## Notes - If `N <= 0`, both functions return `y` unchanged. +- If `alpha === 0`, both functions return `y` unchanged. - `zaxpy()` corresponds to the [BLAS][blas] level 1 function [`zaxpy`][zaxpy]. @@ -171,6 +172,14 @@ var alpha = new Complex128( 2.0, 2.0 ); // Scale values from `x` by `alpha` and add the result to `y`: zaxpy( x.length, alpha, x, 1, y, 1 ); +// Print the results: +logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y ); + +yc = zcopy( y.length, y, 1, zeros( y.length, 'complex128' ), 1 ); + +// Scale values from `x` by `alpha` and add the result to `y` using alternative indexing semantics: +zaxpy.ndarray( x.length, alpha, x, 1, 0, y, 1, 0 ); + // Print the results: logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y ); ``` @@ -179,6 +188,152 @@ logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y ); + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/blas/base/zaxpy.h" +``` + +#### c_zaxpy( N, alpha, \*X, strideX, \*Y, strideY ) + +Scales values from `X` by `alpha` and adds the result to `Y`. + +```c +#include "stdlib/complex/float32/ctor.h" + +float x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 }; +float y[] = { -1.0, -2.0, -3.0, -4.0, -5.0, -6.0, -7.0, -8.0 }; +const stdlib_complex128_t alpha = stdlib_complex128( 2.0, 2.0 ); + +c_zaxpy( 4, alpha, (void *)x, 1, (void *)y, 1 ); +``` + +The function accepts the following arguments: + +- **N**: `[in] CBLAS_INT` number of indexed elements. +- **alpha**: `[in] stdlib_complex128_t` scalar constant. +- **X**: `[in] void*` input array. +- **strideX**: `[in] CBLAS_INT` stride length for `X`. +- **Y**: `[inout] void*` output array. +- **strideY**: `[in] CBLAS_INT` stride length for `Y`. + +```c +void c_zaxpy( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *x, const CBLAS_INT strideX, void *y, const CBLAS_INT strideY ); +``` + +#### c_zaxpy_ndarray( N, alpha, \*X, strideX, offsetX, \*Y, strideY, offsetY ) + +Scales values from `X` by `alpha` and adds the result to `Y` using alternative indexing semantics. + +```c +#include "stdlib/complex/float32/ctor.h" + +float x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 }; +float y[] = { -1.0, -2.0, -3.0, -4.0, -5.0, -6.0, -7.0, -8.0 }; +const stdlib_complex128_t alpha = stdlib_complex128( 2.0, 2.0 ); + +c_zaxpy_ndarray( 4, alpha, (void *)x, 1, 0, (void *)y, 1, 0 ); +``` + +The function accepts the following arguments: + +- **N**: `[in] CBLAS_INT` number of indexed elements. +- **alpha**: `[in] stdlib_complex128_t` scalar constant. +- **X**: `[in] void*` input array. +- **strideX**: `[in] CBLAS_INT` stride length for `X`. +- **offsetX**: `[in] CBLAS_INT` starting index for `X`. +- **Y**: `[inout] void*` output array. +- **strideY**: `[in] CBLAS_INT` stride length for `Y`. +- **offsetY**: `[in] CBLAS_INT` starting index for `Y`. + +```c +void c_zaxpy_ndarray( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *x, const CBLAS_INT strideX, const CBLAS_INT offsetX, void *y, const CBLAS_INT strideY, const CBLAS_INT offsetY ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/blas/base/zaxpy.h" +#include "stdlib/complex/float32/ctor.h" +#include + +int main( void ) { + // Create strided arrays: + double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 }; + double y[] = { 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }; + + // Create a complex scalar: + const stdlib_complex128_t alpha = stdlib_complex128( 2.0, 2.0 ); + + // Specify the number of elements: + const int N = 4; + + // Specify stride lengths: + const int strideX = 1; + const int strideY = 1; + + // Scale values from `x` by `alpha` and add the result to `y`: + c_zaxpy( N, alpha, (void *)x, strideX, (void *)y, strideY ); + + // Print the result: + for ( int i = 0; i < N; i++ ) { + printf( "zaxpy[ %i ] = %lf + %lfj\n", i, y[ i * 2 ], y[ ( i * 2 ) + 1 ] ); + } + + // Scale values from `x` by `alpha` and add the result to `y` using alternative indexing semantics: + c_zaxpy_ndarray( N, alpha, (void *)x, strideX, 0, (void *)y, strideY, 0 ); + + // Print the result: + for ( int i = 0; i < N; i++ ) { + printf( "zaxpy[ %i ] = %lf + %lfj\n", i, y[ i * 2 ], y[ ( i * 2 ) + 1 ] ); + } +} +``` + +
+ + + +
+ + +
@@ -193,7 +348,7 @@ logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y ); [blas]: http://www.netlib.org/blas -[zaxpy]: https://www.netlib.org/lapack/explore-html/d5/d4b/group__axpy_ga0b7bac1f4d42514074a48f14f5f9caa0.html#ga0b7bac1f4d42514074a48f14f5f9caa0 +[zaxpy]: https://www.netlib.org/lapack/explore-html/d5/d4b/group__axpy_gaf603daa00d5c723d0e409d9b2d011bf4.html [mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/benchmark/c/Makefile b/lib/node_modules/@stdlib/blas/base/zaxpy/benchmark/c/Makefile new file mode 100644 index 000000000000..cce2c865d7ad --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/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/zaxpy/benchmark/c/benchmark.length.c b/lib/node_modules/@stdlib/blas/base/zaxpy/benchmark/c/benchmark.length.c new file mode 100644 index 000000000000..1c9a6733f285 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/benchmark/c/benchmark.length.c @@ -0,0 +1,204 @@ +/** +* @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/zaxpy.h" +#include "stdlib/complex/float64/ctor.h" +#include +#include +#include +#include +#include + +#define NAME "zaxpy" +#define ITERATIONS 10000000 +#define REPEATS 3 +#define MIN 1 +#define MAX 5 + +/** +* 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; +} + +/** +* Generates a random number on the interval [0,1). +* +* @return random number +*/ +static double rand_double( void ) { + int r = rand(); + return (double)r / ( (double)RAND_MAX + 1.0 ); +} + +/** +* Runs a benchmark. +* +* @param iterations number of iterations +* @param N array length +* @return elapsed time in seconds +*/ +static double benchmark1( int iterations, int N ) { + stdlib_complex128_t alpha; + double x[ N*2 ]; + double y[ N*2 ]; + double elapsed; + double t; + int i; + + alpha = stdlib_complex128( 1.0, 0.0 ); + for ( i = 0; i < N*2; i+=2 ) { + x[ i ] = ( rand_double()*20.0 ) - 10.0; + x[ i+1 ] = ( rand_double()*20.0 ) - 10.0; + y[ i ] = ( rand_double()*20.0 ) - 10.0; + y[ i+1 ] = ( rand_double()*20.0 ) - 10.0; + } + t = tic(); + for ( i = 0; i < iterations; i++ ) { + c_zaxpy( N, alpha, (void *)x, 1, (void *)y, 1 ); + if ( y[ i%(N*2) ] != y[ i%(N*2) ] ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y[ i%(N*2) ] != y[ i%(N*2) ] ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Runs a benchmark. +* +* @param iterations number of iterations +* @param N array length +* @return elapsed time in seconds +*/ +static double benchmark2( int iterations, int N ) { + stdlib_complex128_t alpha; + double x[ N*2 ]; + double y[ N*2 ]; + double elapsed; + double t; + int i; + + alpha = stdlib_complex128( 1.0, 0.0 ); + for ( i = 0; i < N*2; i+=2 ) { + x[ i ] = ( rand_double()*20.0 ) - 10.0; + x[ i+1 ] = ( rand_double()*20.0 ) - 10.0; + y[ i ] = ( rand_double()*20.0 ) - 10.0; + y[ i+1 ] = ( rand_double()*20.0 ) - 10.0; + } + t = tic(); + for ( i = 0; i < iterations; i++ ) { + c_zaxpy_ndarray( N, alpha, (void *)x, 1, 0, (void *)y, 1, 0 ); + if ( y[ i%(N*2) ] != y[ i%(N*2) ] ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y[ i%(N*2) ] != y[ i%(N*2) ] ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int count; + int iter; + int N; + 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++ ) { + N = floor( 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:size=%d\n", NAME, N*N ); + elapsed = benchmark1( iter, N ); + print_results( iter, elapsed ); + printf( "ok %d benchmark finished\n", count ); + } + } + for ( i = MIN; i <= MAX; i++ ) { + N = floor( 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:ndarray:size=%d\n", NAME, N*N ); + elapsed = benchmark2( iter, N ); + print_results( iter, elapsed ); + printf( "ok %d benchmark finished\n", count ); + } + } + print_summary( count, count ); +} diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/binding.gyp b/lib/node_modules/@stdlib/blas/base/zaxpy/binding.gyp new file mode 100644 index 000000000000..08de71a2020e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/binding.gyp @@ -0,0 +1,265 @@ +# @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. + +# 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/zaxpy/examples/c/Makefile b/lib/node_modules/@stdlib/blas/base/zaxpy/examples/c/Makefile new file mode 100644 index 000000000000..8f3fb0f9c56e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/examples/c/Makefile @@ -0,0 +1,147 @@ + +#/ +# @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/zaxpy/examples/c/example.c b/lib/node_modules/@stdlib/blas/base/zaxpy/examples/c/example.c new file mode 100644 index 000000000000..babf7c7f742d --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/examples/c/example.c @@ -0,0 +1,54 @@ + +/** +* @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/zaxpy.h" +#include "stdlib/complex/float64/ctor.h" +#include + +int main( void ) { + // Create strided arrays: + double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 }; + double y[] = { 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 }; + + // Create a complex scalar: + const stdlib_complex128_t alpha = stdlib_complex128( 2.0, 2.0 ); + + // Specify the number of elements: + const int N = 4; + + // Specify stride lengths: + const int strideX = 1; + const int strideY = 1; + + // Scale values from `x` by `alpha` and add the result to `y`: + c_zaxpy( N, alpha, (void *)x, strideX, (void *)y, strideY ); + + // Print the result: + for ( int i = 0; i < N; i++ ) { + printf( "zaxpy[ %i ] = %lf + %lfj\n", i, y[ i * 2 ], y[ ( i * 2 ) + 1 ] ); + } + + // Scale values from `x` by `alpha` and add the result to `y` using alternative indexing semantics: + c_zaxpy_ndarray( N, alpha, (void *)x, strideX, 0, (void *)y, strideY, 0 ); + + // Print the result: + for ( int i = 0; i < N; i++ ) { + printf( "zaxpy[ %i ] = %lf + %lfj\n", i, y[ i * 2 ], y[ ( i * 2 ) + 1 ] ); + } +} diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/include.gypi b/lib/node_modules/@stdlib/blas/base/zaxpy/include.gypi new file mode 100644 index 000000000000..08de71a2020e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/include.gypi @@ -0,0 +1,265 @@ +# @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. + +# 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/zaxpy/include/stdlib/blas/base/zaxpy.h b/lib/node_modules/@stdlib/blas/base/zaxpy/include/stdlib/blas/base/zaxpy.h new file mode 100644 index 000000000000..e7aed9110fdd --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/include/stdlib/blas/base/zaxpy.h @@ -0,0 +1,49 @@ +/** +* @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. +*/ + +/** +* Header file containing function declarations for the C interface to the BLAS Level 1 routine `zaxpy`. +*/ +#ifndef ZAXPY_H +#define ZAXPY_H + +#include "stdlib/blas/base/shared.h" +#include "stdlib/complex/float64/ctor.h" + +/* +* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler. +*/ +#ifdef __cplusplus +extern "C" { +#endif + +/** +* Scales a double-precision complex floating-point vector by a double-precision complex floating-point constant and adds the result to a double-precision complex floating-point vector. +*/ +void API_SUFFIX(c_zaxpy)( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *X, const CBLAS_INT strideX, void *Y, const CBLAS_INT strideY ); + +/** +* Scales a double-precision complex floating-point vector by a double-precision complex floating-point constant and adds the result to a double-precision complex floating-point vector using alternative indexing semantics. +*/ +void API_SUFFIX(c_zaxpy_ndarray)( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, void *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY ); + +#ifdef __cplusplus +} +#endif + +#endif // !ZAXPY_H diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/include/stdlib/blas/base/zaxpy_cblas.h b/lib/node_modules/@stdlib/blas/base/zaxpy/include/stdlib/blas/base/zaxpy_cblas.h new file mode 100644 index 000000000000..ae3429a56762 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/include/stdlib/blas/base/zaxpy_cblas.h @@ -0,0 +1,44 @@ +/** +* @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. +*/ + +/** +* Header file containing function declarations for the C interface to the CBLAS Level 1 routine `cblas_zaxpy`. +*/ +#ifndef ZAXPY_CBLAS_H +#define ZAXPY_CBLAS_H + +#include "stdlib/blas/base/shared.h" +#include "stdlib/complex/float64/ctor.h" + +/* +* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler. +*/ +#ifdef __cplusplus +extern "C" { +#endif + +/** +* Scale a double-precision complex floating-point vector by a double-precision complex floating-point constant and add the result to a double-precision complex floating-point vector. +*/ +void API_SUFFIX(cblas_zaxpy)( const CBLAS_INT N, const stdlib_complex128_t alpha, void *X, const CBLAS_INT strideX, void *Y, const CBLAS_INT strideY ); + +#ifdef __cplusplus +} +#endif + +#endif // !ZAXPY_CBLAS_H diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/lib/native.js b/lib/node_modules/@stdlib/blas/base/zaxpy/lib/native.js new file mode 100644 index 000000000000..a7ee4da8bb25 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/lib/native.js @@ -0,0 +1,35 @@ +/** +* @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 setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var zaxpy = require( './zaxpy.native.js' ); +var ndarray = require( './ndarray.native.js' ); + + +// MAIN // + +setReadOnly( zaxpy, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = zaxpy; diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/lib/ndarray.native.js b/lib/node_modules/@stdlib/blas/base/zaxpy/lib/ndarray.native.js new file mode 100644 index 000000000000..c65448cbba5c --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/lib/ndarray.native.js @@ -0,0 +1,67 @@ +/** +* @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 reinterpret = require( '@stdlib/strided/base/reinterpret-complex128' ); +var dcabs1 = require( '@stdlib/blas/base/dcabs1' ); +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Scales a double-precision complex floating-point vector by a double-precision complex floating-point constant and adds the result to a double-precision complex floating-point vector. +* +* @param {PositiveInteger} N - number of indexed elements +* @param {Complex128} alpha - scalar constant +* @param {Complex128Array} x - first input array +* @param {integer} strideX - `x` stride length +* @param {integer} offsetX - starting index for `x` +* @param {Complex128Array} y - second input array +* @param {integer} strideY - `y` stride length +* @param {integer} offsetY - starting index for `y` +* @returns {Complex128Array} second input array +* +* @example +* var Complex128Array = require( '@stdlib/array/complex128' ); +* var Complex128 = require( '@stdlib/complex/float64/ctor' ); +* +* var x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +* var y = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] ); +* var alpha = new Complex128( 2.0, 2.0 ); +* +* zaxpy( 3, alpha, x, 1, 0, y, 1, 0 ); +* // y => [ -1.0, 7.0, -1.0, 15.0, -1.0, 23.0 ] +*/ +function zaxpy( N, alpha, x, strideX, offsetX, y, strideY, offsetY ) { + var viewX = reinterpret( x, 0 ); + var viewY = reinterpret( y, 0 ); + if ( N <= 0 || dcabs1( alpha ) === 0.0 ) { + return y; + } + addon.ndarray( N, alpha, viewX, strideX, offsetX, viewY, strideY, offsetY ); + return y; +} + + +// EXPORTS // + +module.exports = zaxpy; diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/lib/zaxpy.native.js b/lib/node_modules/@stdlib/blas/base/zaxpy/lib/zaxpy.native.js new file mode 100644 index 000000000000..0822b87595c6 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/lib/zaxpy.native.js @@ -0,0 +1,65 @@ +/** +* @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 reinterpret = require( '@stdlib/strided/base/reinterpret-complex128' ); +var dcabs1 = require( '@stdlib/blas/base/dcabs1' ); +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Scales a double-precision complex floating-point vector by a double-precision complex floating-point constant and adds the result to a double-precision complex floating-point vector. +* +* @param {PositiveInteger} N - number of indexed elements +* @param {Complex128} alpha - scalar constant +* @param {Complex128Array} x - first input array +* @param {integer} strideX - `x` stride length +* @param {Complex128Array} y - second input array +* @param {integer} strideY - `y` stride length +* @returns {Complex128Array} second input array +* +* @example +* var Complex128Array = require( '@stdlib/array/complex128' ); +* var Complex128 = require( '@stdlib/complex/float64/ctor' ); +* +* var x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +* var y = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] ); +* var alpha = new Complex128( 2.0, 2.0 ); +* +* zaxpy( 3, alpha, x, 1, y, 1 ); +* // y => [ -1.0, 7.0, -1.0, 15.0, -1.0, 23.0 ] +*/ +function zaxpy( N, alpha, x, strideX, y, strideY ) { + var viewX = reinterpret( x, 0 ); + var viewY = reinterpret( y, 0 ); + if ( N <= 0 || dcabs1( alpha ) === 0.0 ) { + return y; + } + addon( N, alpha, viewX, strideX, viewY, strideY ); + return y; +} + + +// EXPORTS // + +module.exports = zaxpy; diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/manifest.json b/lib/node_modules/@stdlib/blas/base/zaxpy/manifest.json new file mode 100644 index 000000000000..c741174205e5 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/manifest.json @@ -0,0 +1,495 @@ +{ + "options": { + "task": "build", + "os": "linux", + "blas": "", + "wasm": false + }, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": false, + "relative": false + }, + { + "field": "libpath", + "resolve": true, + "relative": false + } + ], + "confs": [ + { + "task": "build", + "os": "linux", + "blas": "", + "wasm": false, + "src": [ + "./src/zaxpy.f", + "./src/zaxpy_f.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/napi/export", + "@stdlib/napi/argv", + "@stdlib/napi/argv-int64", + "@stdlib/napi/argv-strided-complex128array", + "@stdlib/napi/argv-complex128", + "@stdlib/complex/float64/ctor" + ] + }, + { + "task": "benchmark", + "os": "linux", + "blas": "", + "wasm": false, + "src": [ + "./src/zaxpy.c", + "./src/zaxpy_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/dcabs1", + "@stdlib/complex/float64/base/mul-add", + "@stdlib/complex/float64/ctor", + "@stdlib/strided/base/stride2offset" + ] + }, + { + "task": "examples", + "os": "linux", + "blas": "", + "wasm": false, + "src": [ + "./src/zaxpy.c", + "./src/zaxpy_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/dcabs1", + "@stdlib/complex/float64/base/mul-add", + "@stdlib/complex/float64/ctor", + "@stdlib/strided/base/stride2offset" + ] + }, + + { + "task": "build", + 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"@stdlib/complex/float64/base/mul-add" + ] + }, + { + "task": "examples", + "os": "mac", + "blas": "openblas", + "wasm": false, + "src": [ + "./src/zaxpy_cblas.c", + "./src/zaxpy_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [ + "-lopenblas", + "-lpthread" + ], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/complex/float64/ctor", + "@stdlib/blas/base/dcabs1", + "@stdlib/complex/float64/base/mul-add" + ] + }, + + { + "task": "build", + "os": "win", + "blas": "", + "wasm": false, + "src": [ + "./src/zaxpy.c", + "./src/zaxpy_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/napi/export", + "@stdlib/napi/argv", + "@stdlib/napi/argv-int64", + "@stdlib/napi/argv-strided-complex128array", + "@stdlib/napi/argv-complex128", + "@stdlib/complex/float64/ctor", + "@stdlib/blas/base/dcabs1", + "@stdlib/complex/float64/base/mul-add", + "@stdlib/strided/base/stride2offset" + ] + }, + { + "task": "benchmark", + "os": "win", + "blas": "", + "wasm": false, + "src": [ + "./src/zaxpy.c", + "./src/zaxpy_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/dcabs1", + "@stdlib/complex/float64/base/mul-add", + "@stdlib/complex/float64/ctor", + "@stdlib/strided/base/stride2offset" + ] + }, + { + "task": "examples", + "os": "win", + "blas": "", + "wasm": false, + "src": [ + "./src/zaxpy.c", + "./src/zaxpy_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/dcabs1", + "@stdlib/complex/float64/base/mul-add", + "@stdlib/complex/float64/ctor", + "@stdlib/strided/base/stride2offset" + ] + }, + + { + "task": "build", + "os": "", + "blas": "", + "wasm": true, + "src": [ + "./src/zaxpy.c", + "./src/zaxpy_ndarray.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/blas/base/shared", + "@stdlib/blas/base/dcabs1", + "@stdlib/complex/float64/base/mul-add", + "@stdlib/complex/float64/ctor", + "@stdlib/strided/base/stride2offset" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/package.json b/lib/node_modules/@stdlib/blas/base/zaxpy/package.json index 94f84db72928..edfa99d1589e 100644 --- a/lib/node_modules/@stdlib/blas/base/zaxpy/package.json +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/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/zaxpy/src/Makefile b/lib/node_modules/@stdlib/blas/base/zaxpy/src/Makefile new file mode 100644 index 000000000000..7733b6180cb4 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/src/Makefile @@ -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. +#/ + +# 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/zaxpy/src/addon.c b/lib/node_modules/@stdlib/blas/base/zaxpy/src/addon.c new file mode 100644 index 000000000000..0d9c471d0bf6 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/src/addon.c @@ -0,0 +1,68 @@ +/** +* @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/zaxpy.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_complex128.h" +#include "stdlib/napi/argv_strided_complex128array.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, 6 ); + STDLIB_NAPI_ARGV_INT64( env, N, argv, 0 ); + STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 3 ); + STDLIB_NAPI_ARGV_INT64( env, strideY, argv, 5 ); + STDLIB_NAPI_ARGV_COMPLEX128( env, alpha, argv, 1 ); + STDLIB_NAPI_ARGV_STRIDED_COMPLEX128ARRAY( env, X, N, strideX, argv, 2 ); + STDLIB_NAPI_ARGV_STRIDED_COMPLEX128ARRAY( env, Y, N, strideY, argv, 4 ); + API_SUFFIX(c_zaxpy)( N, alpha, (void *)X, strideX, (void *)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, 8 ); + STDLIB_NAPI_ARGV_INT64( env, N, argv, 0 ); + STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 3 ); + STDLIB_NAPI_ARGV_INT64( env, offsetX, argv, 4 ); + STDLIB_NAPI_ARGV_INT64( env, strideY, argv, 6 ); + STDLIB_NAPI_ARGV_INT64( env, offsetY, argv, 7 ); + STDLIB_NAPI_ARGV_COMPLEX128( env, alpha, argv, 1 ); + STDLIB_NAPI_ARGV_STRIDED_COMPLEX128ARRAY( env, X, N, strideX, argv, 2 ); + STDLIB_NAPI_ARGV_STRIDED_COMPLEX128ARRAY( env, Y, N, strideY, argv, 5 ); + API_SUFFIX(c_zaxpy_ndarray)( N, alpha, (void *)X, strideX, offsetX, (void *)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/zaxpy/src/zaxpy.c b/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy.c new file mode 100644 index 000000000000..036b6f02c33d --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy.c @@ -0,0 +1,38 @@ +/** +* @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/zaxpy.h" +#include "stdlib/blas/base/shared.h" +#include "stdlib/complex/float64/ctor.h" +#include "stdlib/strided/base/stride2offset.h" + +/** +* Scales a double-precision complex floating-point vector by a double-precision complex floating-point constant and adds the result to a double-precision complex floating-point vector. +* +* @param N number of indexed elements +* @param alpha scalar constant +* @param X input array +* @param strideX X stride length +* @param Y output array +* @param strideY Y stride length +*/ +void API_SUFFIX(c_zaxpy)( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *X, const CBLAS_INT strideX, void *Y, const CBLAS_INT strideY ) { + CBLAS_INT ox = stdlib_strided_stride2offset( N, strideX ); + CBLAS_INT oy = stdlib_strided_stride2offset( N, strideY ); + API_SUFFIX(c_zaxpy_ndarray)( N, alpha, X, strideX, ox, Y, strideY, oy ); +} diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy_cblas.c b/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy_cblas.c new file mode 100644 index 000000000000..ee724a7a1b0c --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy_cblas.c @@ -0,0 +1,36 @@ +/** +* @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/zaxpy.h" +#include "stdlib/blas/base/zaxpy_cblas.h" +#include "stdlib/blas/base/shared.h" +#include "stdlib/complex/float64/ctor.h" + +/** +* Scales a double-precision complex floating-point vector by a double-precision complex floating-point constant and adds the result to a double-precision complex floating-point vector. +* +* @param N number of indexed elements +* @param alpha scalar constant +* @param X first input array +* @param strideX X stride length +* @param Y second input array +* @param strideY Y stride length +*/ +void API_SUFFIX(c_zaxpy)( const CBLAS_INT N, const stdlib_complex128_t alpha, void *X, const CBLAS_INT strideX, void *Y, const CBLAS_INT strideY ) { + API_SUFFIX(cblas_zaxpy)( N, alpha, X, strideX, Y, strideY ); +} diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy_ndarray.c b/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy_ndarray.c new file mode 100644 index 000000000000..88719f25d75f --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/src/zaxpy_ndarray.c @@ -0,0 +1,60 @@ +/** +* @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/zaxpy.h" +#include "stdlib/blas/base/dcabs1.h" +#include "stdlib/blas/base/shared.h" +#include "stdlib/complex/float64/ctor.h" +#include "stdlib/complex/float64/base/mul_add.h" +#include + +/** +* Scales a double-precision complex floating-point vector by a double-precision complex floating-point constant and adds the result to a double-precision complex floating-point vector using alternative indexing semantics. +* +* @param N number of indexed elements +* @param alpha scalar constant +* @param X input array +* @param strideX X stride length +* @param offsetX starting index for X +* @param Y output array +* @param strideY Y stride length +* @param offsetY starting index for Y +*/ +void API_SUFFIX(c_zaxpy_ndarray)( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, void *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY ) { + stdlib_complex128_t x; + stdlib_complex128_t y; + int64_t is1; + int64_t is2; + int64_t i; + + if ( N <= 0 || c_dcabs1( alpha ) == 0.0 ) { + return; + } + stdlib_complex128_t *ip1 = (stdlib_complex128_t *)X; + stdlib_complex128_t *ip2 = (stdlib_complex128_t *)Y; + is1 = (int64_t)strideX; + is2 = (int64_t)strideY; + ip1 += offsetX; + ip2 += offsetY; + for ( i = 0; i < N; i++, ip1 += is1, ip2 += is2 ) { + x = *ip1; + y = *ip2; + *ip2 = stdlib_base_complex128_muladd( alpha, x, y ); + } + return; +} diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.native.js b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.native.js new file mode 100644 index 000000000000..d6c925b8c9d1 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.native.js @@ -0,0 +1,696 @@ +/** +* @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 resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var Float64Array = require( '@stdlib/array/float64' ); +var Complex128Array = require( '@stdlib/array/complex128' ); +var Complex128 = require( '@stdlib/complex/float64/ctor' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var zaxpy = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) ); +var opts = { + 'skip': ( zaxpy 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 zaxpy, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 8', opts, function test( t ) { + t.strictEqual( zaxpy.length, 8, 'arity of 8' ); + t.end(); +}); + +tape( 'the function scales elements from `x` by `alpha` and adds the result to `y`', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, // 2 + -0.7, // 2 + -0.1, // 3 + -0.9, // 3 + 0.2, // 4 + -0.8, // 4 + -0.9, + -0.4, + 0.1, + 0.4, + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 1, 0, y, 1, 0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 1 + -1.41, // 1 + -1.55, // 2 + 0.5, // 2 + 0.03, // 3 + -0.89, // 3 + -0.38, // 4 + -0.96, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'if dcabs1( alpha ) === 0.0; the function returns the second input array unchanged', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, + -0.7, + -0.1, // 2 + -0.9, // 2 + 0.2, + -0.8, + -0.9, // 3 + -0.4, // 3 + 0.1, + 0.4, + -0.6, // 4 + 0.6 // 4 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.0, 0.0 ); + + zaxpy( 4, alpha, x, 2, 0, y, 1, 0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports a `x` stride', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, + -0.7, + -0.1, // 2 + -0.9, // 2 + 0.2, + -0.8, + -0.9, // 3 + -0.4, // 3 + 0.1, + 0.4, + -0.6, // 4 + 0.6 // 4 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 2, 0, y, 1, 0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 1 + -1.41, // 1 + -1.57, // 2 + 0.21, // 2 + 0.06, // 3 + -0.13, // 3 + 0.28, // 4 + 0.16, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports a `x` offset', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, + -0.8, + -0.4, // 1 + -0.7, // 1 + -0.1, + -0.9, + 0.2, // 2 + -0.8, // 2 + -0.9, + -0.4, + 0.1, // 3 + 0.4, // 3 + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, + -0.5, + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 3, alpha, x, 2, 1, y, 1, 0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + -0.05, // 1 + -0.6, // 1 + -1.38, // 2 + 0.04, // 2 + 1.02, // 3 + -0.51, // 3 + 0.1, + -0.5, + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports a `y` stride', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, // 2 + -0.7, // 2 + -0.1, // 3 + -0.9, // 3 + 0.2, // 4 + -0.8, // 4 + -0.9, + -0.4, + 0.1, + 0.4, + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, + 0.5, + 0.7, // 2 + -0.6, // 2 + 0.1, + -0.5, + -0.1, // 3 + -0.2, // 3 + -0.5, + -0.3, + 0.8, // 4 + -0.7 // 4 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 1, 0, y, 2, 0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 1 + -1.41, // 1 + -0.9, + 0.5, + 0.05, // 2 + -0.6, // 2 + 0.1, + -0.5, + -0.77, // 3 + -0.49, // 3 + -0.5, + -0.3, + 0.32, // 4 + -1.16 // 4 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports a `y` offset', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, // 2 + -0.7, // 2 + -0.1, // 3 + -0.9, // 3 + 0.2, + -0.8, + -0.9, + -0.4, + 0.1, + 0.4, + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, + -0.6, + -0.9, // 1 + 0.5, // 1 + 0.7, + -0.6, + 0.1, // 2 + -0.5, // 2 + -0.1, + -0.2, + -0.5, // 3 + -0.3, // 3 + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 3, alpha, x, 1, 0, y, 2, 1 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.6, + -0.6, + -1.18, // 1 + -0.31, // 1 + 0.7, + -0.6, + -0.55, // 2 + -0.5, // 2 + -0.1, + -0.2, + -1.17, // 3 + -0.59, // 3 + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function returns a reference to the output array', opts, function test( t ) { + var alpha; + var out; + var x; + var y; + + x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] ); + y = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] ); + alpha = new Complex128( 2.0, 2.0 ); + + out = zaxpy( x.length, alpha, x, 1, 0, y, 1, 0 ); + + t.strictEqual( out, y, 'same reference' ); + t.end(); +}); + +tape( 'if provided an `N` parameter less than or equal to `0`, the function returns the second input array unchanged', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] ); + y = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] ); + alpha = new Complex128( 2.0, 2.0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] ); + + zaxpy( -1, alpha, x, 1, 0, y, 1, 0 ); + t.deepEqual( viewY, expected, 'returns expected value' ); + + zaxpy( 0, alpha, x, 1, 0, y, 1, 0 ); + t.deepEqual( viewY, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports a negative `x` stride', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 4 + -0.8, // 4 + -0.4, + -0.7, + -0.1, // 3 + -0.9, // 3 + 0.2, + -0.8, + -0.9, // 2 + -0.4, // 2 + 0.1, + 0.4, + -0.6, // 1 + 0.6 // 1 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, -2, 6, y, 1, 0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.78, // 1 + 0.06, // 1 + -1.54, // 2 + 0.97, // 2 + 0.03, // 3 + -0.89, // 3 + -0.18, // 4 + -1.31, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports a negative `y` stride', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, + -0.7, + -0.1, // 2 + -0.9, // 2 + 0.2, + -0.8, + -0.9, // 3 + -0.4, // 3 + 0.1, + 0.4, + -0.6, // 4 + 0.6 // 4 + ]); + y = new Complex128Array([ + 0.6, // 4 + -0.6, // 4 + -0.9, + 0.5, + 0.7, // 3 + -0.6, // 3 + 0.1, + -0.5, + -0.1, // 2 + -0.2, // 2 + -0.5, + -0.3, + 0.8, // 1 + -0.7 // 1 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 2, 0, y, -2, 6 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.78, // 4 + 0.06, // 4 + -0.9, + 0.5, + 0.06, // 3 + -0.13, // 3 + 0.1, + -0.5, + -0.77, // 2 + -0.49, // 2 + -0.5, + -0.3, + 0.52, // 1 + -1.51 // 1 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports complex access patterns', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 4 + -0.8, // 4 + -0.4, // 3 + -0.7, // 3 + -0.1, // 2 + -0.9, // 2 + 0.2, // 1 + -0.8, // 1 + -0.9, + -0.4, + 0.1, + 0.4, + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, // 4 + -0.6, // 4 + -0.9, + 0.5, + 0.7, // 3 + -0.6, // 3 + 0.1, + -0.5, + -0.1, // 2 + -0.2, // 2 + -0.5, + -0.3, + 0.8, // 1 + -0.7 // 1 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, -1, 3, y, -2, 6 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 4 + -1.41, // 4 + -0.9, + 0.5, + 0.05, // 3 + -0.6, // 3 + 0.1, + -0.5, + -0.77, // 2 + -0.49, // 2 + -0.5, + -0.3, + 0.32, // 1 + -1.16 // 1 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.native.js b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.native.js new file mode 100644 index 000000000000..b1801c9a6de6 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.native.js @@ -0,0 +1,611 @@ +/** +* @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 resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var Float64Array = require( '@stdlib/array/float64' ); +var Complex128Array = require( '@stdlib/array/complex128' ); +var Complex128 = require( '@stdlib/complex/float64/ctor' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var zaxpy = tryRequire( resolve( __dirname, './../lib/zaxpy.native.js' ) ); +var opts = { + 'skip': ( zaxpy 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 zaxpy, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 6', opts, function test( t ) { + t.strictEqual( zaxpy.length, 6, 'arity of 6' ); + t.end(); +}); + +tape( 'the function scales elements from `x` by `alpha` and adds the result to `y`', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, // 2 + -0.7, // 2 + -0.1, // 3 + -0.9, // 3 + 0.2, // 4 + -0.8, // 4 + -0.9, + -0.4, + 0.1, + 0.4, + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 1, y, 1 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 1 + -1.41, // 1 + -1.55, // 2 + 0.5, // 2 + 0.03, // 3 + -0.89, // 3 + -0.38, // 4 + -0.96, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'if dcabs1( alpha ) === 0.0; the function returns the second input array unchanged', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, + -0.7, + -0.1, // 2 + -0.9, // 2 + 0.2, + -0.8, + -0.9, // 3 + -0.4, // 3 + 0.1, + 0.4, + -0.6, // 4 + 0.6 // 4 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.0, 0.0 ); + + zaxpy( 4, alpha, x, 2, y, 1 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports a `x` stride', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, + -0.7, + -0.1, // 2 + -0.9, // 2 + 0.2, + -0.8, + -0.9, // 3 + -0.4, // 3 + 0.1, + 0.4, + -0.6, // 4 + 0.6 // 4 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 2, y, 1 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 1 + -1.41, // 1 + -1.57, // 2 + 0.21, // 2 + 0.06, // 3 + -0.13, // 3 + 0.28, // 4 + 0.16, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports a `y` stride', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, // 2 + -0.7, // 2 + -0.1, // 3 + -0.9, // 3 + 0.2, // 4 + -0.8, // 4 + -0.9, + -0.4, + 0.1, + 0.4, + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, + 0.5, + 0.7, // 2 + -0.6, // 2 + 0.1, + -0.5, + -0.1, // 3 + -0.2, // 3 + -0.5, + -0.3, + 0.8, // 4 + -0.7 // 4 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 1, y, 2 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 1 + -1.41, // 1 + -0.9, + 0.5, + 0.05, // 2 + -0.6, // 2 + 0.1, + -0.5, + -0.77, // 3 + -0.49, // 3 + -0.5, + -0.3, + 0.32, // 4 + -1.16 // 4 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function returns a reference to the output array', opts, function test( t ) { + var alpha; + var out; + var x; + var y; + + x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] ); + y = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] ); + alpha = new Complex128( 2.0, 2.0 ); + + out = zaxpy( x.length, alpha, x, 1, y, 1 ); + + t.strictEqual( out, y, 'same reference' ); + t.end(); +}); + +tape( 'if provided an `N` parameter less than or equal to `0`, the function returns the second input array unchanged', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] ); + y = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] ); + alpha = new Complex128( 2.0, 2.0 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] ); + + zaxpy( -1, alpha, x, 1, y, 1 ); + t.deepEqual( viewY, expected, 'returns expected value' ); + + zaxpy( 0, alpha, x, 1, y, 1 ); + t.deepEqual( viewY, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function supports negative `x` strides', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 4 + -0.8, // 4 + -0.4, + -0.7, + -0.1, // 3 + -0.9, // 3 + 0.2, + -0.8, + -0.9, // 2 + -0.4, // 2 + 0.1, + 0.4, + -0.6, // 1 + 0.6 // 1 + ]); + y = new Complex128Array([ + 0.6, // 1 + -0.6, // 1 + -0.9, // 2 + 0.5, // 2 + 0.7, // 3 + -0.6, // 3 + 0.1, // 4 + -0.5, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, -2, y, 1 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.78, // 1 + 0.06, // 1 + -1.54, // 2 + 0.97, // 2 + 0.03, // 3 + -0.89, // 3 + -0.18, // 4 + -1.31, // 4 + -0.1, + -0.2, + -0.5, + -0.3, + 0.8, + -0.7 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports negative `y` strides', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 1 + -0.8, // 1 + -0.4, + -0.7, + -0.1, // 2 + -0.9, // 2 + 0.2, + -0.8, + -0.9, // 3 + -0.4, // 3 + 0.1, + 0.4, + -0.6, // 4 + 0.6 // 4 + ]); + y = new Complex128Array([ + 0.6, // 4 + -0.6, // 4 + -0.9, + 0.5, + 0.7, // 3 + -0.6, // 3 + 0.1, + -0.5, + -0.1, // 2 + -0.2, // 2 + -0.5, + -0.3, + 0.8, // 1 + -0.7 // 1 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, 2, y, -2 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.78, // 4 + 0.06, // 4 + -0.9, + 0.5, + 0.06, // 3 + -0.13, // 3 + 0.1, + -0.5, + -0.77, // 2 + -0.49, // 2 + -0.5, + -0.3, + 0.52, // 1 + -1.51 // 1 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports complex access patterns', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x; + var y; + + x = new Complex128Array([ + 0.7, // 4 + -0.8, // 4 + -0.4, // 3 + -0.7, // 3 + -0.1, // 2 + -0.9, // 2 + 0.2, // 1 + -0.8, // 1 + -0.9, + -0.4, + 0.1, + 0.4, + -0.6, + 0.6 + ]); + y = new Complex128Array([ + 0.6, // 4 + -0.6, // 4 + -0.9, + 0.5, + 0.7, // 3 + -0.6, // 3 + 0.1, + -0.5, + -0.1, // 2 + -0.2, // 2 + -0.5, + -0.3, + 0.8, // 1 + -0.7 // 1 + ]); + alpha = new Complex128( 0.4, -0.7 ); + + zaxpy( 4, alpha, x, -1, y, -2 ); + + viewY = new Float64Array( y.buffer ); + expected = new Float64Array([ + 0.32, // 4 + -1.41, // 4 + -0.9, + 0.5, + 0.05, // 3 + -0.6, // 3 + 0.1, + -0.5, + -0.77, // 2 + -0.49, // 2 + -0.5, + -0.3, + 0.32, // 1 + -1.16 // 1 + ]); + isApprox( t, viewY, expected, 14.0 ); + t.end(); +}); + +tape( 'the function supports view offsets', opts, function test( t ) { + var expected; + var viewY; + var alpha; + var x0; + var y0; + var x1; + var y1; + + // Initial arrays... + x0 = new Complex128Array([ + 1.0, + 2.0, + 3.0, // 1 + 4.0, // 1 + 5.0, + 6.0 + ]); + y0 = new Complex128Array([ + 1.0, + 1.0, + 1.0, + 1.0, + 1.0, // 1 + 1.0 // 1 + ]); + + // Define a scalar constant: + alpha = new Complex128( 2.0, 2.0 ); + + // Create offset views... + x1 = new Complex128Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // begin at the 2nd element + y1 = new Complex128Array( y0.buffer, y0.BYTES_PER_ELEMENT*2 ); // begin at the 3rd element + + zaxpy( 1, alpha, x1, 1, y1, 1 ); + + viewY = new Float64Array( y0.buffer ); + expected = new Float64Array( [ 1.0, 1.0, 1.0, 1.0, -1.0, 15.0 ] ); + + t.deepEqual( viewY, expected, 'returns expected value' ); + t.end(); +});