Sincos

lib/node_modules/@stdlib/math/base/special/sincos/README.md

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+# sincos
+
+> Simultaneously compute the [sine][@stdlib/math/base/special/sin] and [cosine][@stdlib/math/base/special/cos] of a number.
+
+
+<section class="usage">
+
+## Usage
+
+``` javascript
+var sincos = require( '@stdlib/math/base/special/sincos' );
+```
+
+#### sincos( \[out,\] x )
+
+Simultaneously computes the [sine][@stdlib/math/base/special/sin] and [cosine][@stdlib/math/base/special/cos] of a `number` (in radians).
+
+``` javascript
+var v = sincos( 0.0 );
+// returns [ ~0.0, ~1.0 ]
+
+v = sincos( Math.PI/2.0 );
+// returns [ ~0.0, ~1.0 ]
+
+v = sincos( -Math.PI/6.0 );
+// returns [ ~-0.5, ~0.866 ]
+```
+
+By default, the function returns the sine and cosine as a two-element `array`. To avoid extra memory allocation, the function supports providing an output (destination) object.
+
+``` javascript
+var out = new Float64Array( 2 );
+
+var v = sincos( out, 0.0 );
+// return <Float64Array>[ ~0.0, ~1.0 ]
+
+var bool = ( v === out );
+// returns true
+```
+
+
+</section>
+
+<!-- /.usage -->
+
+
+<section class="examples">
+
+## Examples
+
+``` javascript
+var linspace = require( '@stdlib/math/utils/linspace' );
+var sincos = require( '@stdlib/math/base/special/sincos' );
+
+var x = linspace( 0.0, 2.0*Math.PI, 100 );
+var i;
+
+for ( i = 0; i < x.length; i++ ) {
+    console.log( sincos( x[ i ] ) );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+
+<section class="links">
+
+[@stdlib/math/base/special/sin]: https://github.com/stdlib-js/stdlib
+[@stdlib/math/base/special/cos]: https://github.com/stdlib-js/stdlib
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/math/base/special/sincos/benchmark/benchmark.js

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+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/math/base/random/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var sin = require( '@stdlib/math/base/special/sin' );
+var cos = require( '@stdlib/math/base/special/cos' );
+var pkg = require( './../package.json' ).name;
+var sincos = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*20.0 ) - 10.0;
+		y = sincos( x );
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::separate-evaluation', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	y = [ 0.0, 0.0 ];
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*20.0 ) - 10.0;
+		y = [ sin( x ), cos( x ) ];
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::in-place', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	y = [ 0.0, 0.0 ];
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*20.0 ) - 10.0;
+		sincos( y, x );
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::separate-evaluation,in-place', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	y = [ 0.0, 0.0 ];
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*20.0 ) - 10.0;
+		y[0] = sin( x );
+		y[1] = cos( x );
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::built-in', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*20.0 ) - 10.0;
+		y = [ Math.sin( x ), Math.cos( x ) ];
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::built-in,in-place', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	y = [ 0.0, 0.0 ];
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*20.0 ) - 10.0;
+		y[0] = Math.sin( x );
+		y[1] = Math.cos( x );
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/math/base/special/sincos/benchmark/c/Makefile

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+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Determine the OS:
+#
+# [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
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# TARGETS #
+
+# Default target.
+#
+# This target is the default target.
+
+all: $(c_targets)
+
+.PHONY: all
+
+
+# Compile C source.
+#
+# This target compiles C source files.
+
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm
+
+
+# Run a benchmark.
+#
+# This target runs a benchmark.
+
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+
+# Perform clean-up.
+#
+# This target removes generated files.
+
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean