feat!: migrate to using stdlib complex number types

In addition to migrating to use stdlib complex number types, this commit adds an
addon interface to allow testing the C implementation from JavaScript.

BREAKING CHANGE: migrate to using stdlib complex number types

To migrate, users need to change `double complex` to `stdlib_complex128_t`.

PR-URL: #916
Reviewed-by: Athan Reines <kgryte@gmail.com>
Private-ref: stdlib-js/todo#1454

Author: steff456

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

@@ -109,18 +109,27 @@ for ( i = 0; i < 100; i++ ) {
 Rounds a double-precision complex floating-point number toward positive infinity.
 
 ```c
-#include <complex.h>
+#include "stdlib/complex/float64.h"
+#include "stdlib/complex/real.h"
+#include "stdlib/complex/imag.h"
 
-double complex y = stdlib_base_cceil( 2.5-1.5*I );
-// returns 3.0-1.0*I
+stdlib_complex128_t z = stdlib_complex128( 2.5, -1.5 );
+
+stdlib_complex128_t out = stdlib_base_cceil( z );
+
+double re = stdlib_real( out );
+// returns 3.0
+
+double im = stdlib_imag( out );
+// returns -1.0
 ```
 
 The function accepts the following arguments:
 
--   **z**: `[in] double complex` input value.
+-   **z**: `[in] stdlib_complex128_t` input value.
 
 ```c
-double complex stdlib_base_cceil( const double complex z );
+stdlib_complex128_t stdlib_base_cceil( const stdlib_complex128_t z );
 ```
 
 </section>
@@ -143,19 +152,31 @@ double complex stdlib_base_cceil( const double complex z );
 
 ```c
 #include "stdlib/math/base/special/cceil.h"
+#include "stdlib/complex/float64.h"
+#include "stdlib/complex/reim.h"
 #include <stdio.h>
-#include <complex.h>
 
 int main() {
-    double complex x[] = { 3.14+1.5*I, -3.14-1.5*I, 0.0+0.0*I, 0.0/0.0+0.0/0.0*I };
-
-    double complex v;
-    double complex y;
+    const stdlib_complex128_t x[] = {
+        stdlib_complex128( 3.14, 1.5 ),
+        stdlib_complex128( -3.14, -1.5 ),
+        stdlib_complex128( 0.0, 0.0 ),
+        stdlib_complex128( 0.0/0.0, 0.0/0.0 )
+    };
+
+    stdlib_complex128_t v;
+    stdlib_complex128_t y;
+    double re1;
+    double im1;
+    double re2;
+    double im2;
     int i;
     for ( i = 0; i < 4; i++ ) {
         v = x[ i ];
         y = stdlib_base_cceil( v );
-        printf( "cceil(%lf + %lfi) = %lf + %lfi\n", creal( v ), cimag( v ), creal( y ), cimag( y ) );
+        stdlib_reim( v, &re1, &im1 );
+        stdlib_reim( y, &re2, &im2 );
+        printf( "cceil(%lf + %lfi) = %lf + %lfi\n", re1, im1, re2, im2 );
     }
 }
 ```

lib/node_modules/@stdlib/math/base/special/cceil/benchmark/benchmark.native.js

@@ -0,0 +1,66 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/base/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var Complex128 = require( '@stdlib/complex/float64' );
+var real = require( '@stdlib/complex/real' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var cceil = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( cceil instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var values;
+	var y;
+	var i;
+
+	values = [
+		new Complex128( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
+		new Complex128( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
+	];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = cceil( values[ i%values.length ] );
+		if ( isnan( real( y ) ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( real( y ) ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

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

@@ -69,34 +69,18 @@ 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.out
 
 
 # RULES #
 
 #/
-# Compiles source files.
+# Compiles C 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`)
+# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code (e.g., `-fPIC`)
 #
 # @example
 # make
@@ -112,16 +96,12 @@ all: $(c_targets)
 # 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`)
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - compiler flag indicating whether to generate position independent code
 #/
 $(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+	$(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm
 
 #/
 # Runs compiled benchmarks.

lib/node_modules/@stdlib/math/base/special/cceil/benchmark/c/benchmark.c

@@ -19,7 +19,7 @@
 /**
 * Benchmark `cceil`.
 */
-#include "stdlib/math/base/special/cceil.h"
+#include "stdlib/math/base/special/ceil.h"
 #include <complex.h>
 #include <stdlib.h>
 #include <stdio.h>
@@ -105,7 +105,7 @@ double benchmark() {
 	for ( i = 0; i < ITERATIONS; i++ ) {
 		v = ( 1000.0*rand_double() ) - 500.0;
 		x = v + v*I;
-		y = stdlib_base_cceil( x );
+		y = stdlib_base_ceil( creal( x ) ) + stdlib_base_ceil( cimag( x ) )*I;
 		if ( creal( y ) != creal( y ) ) {
 			printf( "unexpected result\n" );
 			break;

lib/node_modules/@stdlib/math/base/special/cceil/benchmark/c/native/Makefile

@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2021 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.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