diff --git a/lib/node_modules/@stdlib/math/base/special/cabsf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/cabsf/lib/main.js
index 1549471484d2..025d86467e6c 100644
--- a/lib/node_modules/@stdlib/math/base/special/cabsf/lib/main.js
+++ b/lib/node_modules/@stdlib/math/base/special/cabsf/lib/main.js
@@ -40,7 +40,6 @@ var imag = require( '@stdlib/complex/float32/imag' );
 * // returns ~5.83
 */
 function cabsf( z ) {
-	// TODO: consider whether to use C99 rules for special cases involving infinities and nans (see https://github.com/python/cpython/blob/f4c03484da59049eb62a9bf7777b963e2267d187/Objects/complexobject.c#L191)
 	return hypotf( real( z ), imag( z ) );
 }
 
diff --git a/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.js b/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.js
index 166a0ba9d2fa..72c88cb54ab4 100644
--- a/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.js
@@ -23,6 +23,8 @@
 var tape = require( 'tape' );
 var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var EPS = require( '@stdlib/constants/float32/eps' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
 var absf = require( '@stdlib/math/base/special/absf' );
 var Complex64 = require( '@stdlib/complex/float32/ctor' );
 var cabsf = require( './../lib' );
@@ -67,7 +69,49 @@ tape( 'the function computes the absolute value of a complex number', function t
 	t.end();
 });
 
-tape( 'if either the real or imaginary component is `NaN`, the function returns `NaN`', function test( t ) {
+tape( 'if either the real or imaginary component is `+infinity`, the function returns `+infinity`', function test( t ) {
+	var v;
+
+	v = cabsf( new Complex64( PINF, 3.0 ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( 5.0, PINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( PINF, PINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NaN, PINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( PINF, NaN ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if either the real or imaginary component is `-infinity`, the function returns `+infinity`', function test( t ) {
+	var v;
+
+	v = cabsf( new Complex64( NINF, 3.0 ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( 5.0, NINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NINF, NINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NaN, NINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NINF, NaN ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if either the real or imaginary component is `NaN` but not `+-infinity`, the function returns `NaN`', function test( t ) {
 	var v;
 
 	v = cabsf( new Complex64( NaN, 3.0 ) );
diff --git a/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.native.js
index 752d59c5c338..675e8df044df 100644
--- a/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/cabsf/test/test.native.js
@@ -24,6 +24,8 @@ var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
 var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var EPS = require( '@stdlib/constants/float32/eps' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
 var absf = require( '@stdlib/math/base/special/absf' );
 var Complex64 = require( '@stdlib/complex/float32/ctor' );
 var tryRequire = require( '@stdlib/utils/try-require' );
@@ -76,7 +78,49 @@ tape( 'the function computes the absolute value of a complex number', opts, func
 	t.end();
 });
 
-tape( 'if either the real or imaginary component is `NaN`, the function returns `NaN`', opts, function test( t ) {
+tape( 'if either the real or imaginary component is `+infinity`, the function returns `+infinity`', opts, function test( t ) {
+	var v;
+
+	v = cabsf( new Complex64( PINF, 3.0 ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( 5.0, PINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( PINF, PINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NaN, PINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( PINF, NaN ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if either the real or imaginary component is `-infinity`, the function returns `+infinity`', opts, function test( t ) {
+	var v;
+
+	v = cabsf( new Complex64( NINF, 3.0 ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( 5.0, NINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NINF, NINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NaN, NINF ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	v = cabsf( new Complex64( NINF, NaN ) );
+	t.strictEqual( v, PINF, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if either the real or imaginary component is `NaN` but not `+-infinity`, the function returns `NaN`', opts, function test( t ) {
 	var v;
 
 	v = cabsf( new Complex64( NaN, 3.0 ) );