diff --git a/lib/node_modules/@stdlib/math/base/special/atan2/lib/main.js b/lib/node_modules/@stdlib/math/base/special/atan2/lib/main.js
index 6248f429a6ed..48d6564ccb46 100644
--- a/lib/node_modules/@stdlib/math/base/special/atan2/lib/main.js
+++ b/lib/node_modules/@stdlib/math/base/special/atan2/lib/main.js
@@ -159,7 +159,7 @@ function atan2( y, x ) {
 	}
 	q = atan( y / x );
 	if ( x < 0.0 ) {
-		if ( q <= 0.0 ) {
+		if ( y > 0.0 ) {
 			return q + PI;
 		}
 		return q - PI;
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2/src/main.c b/lib/node_modules/@stdlib/math/base/special/atan2/src/main.c
index 5b742c377182..2e9e51c3ffda 100755
--- a/lib/node_modules/@stdlib/math/base/special/atan2/src/main.c
+++ b/lib/node_modules/@stdlib/math/base/special/atan2/src/main.c
@@ -111,7 +111,7 @@ double stdlib_base_atan2( const double y, const double x ) {
 	}
 	q = stdlib_base_atan( y / x );
 	if ( x < 0.0 ) {
-		if ( q <= 0.0 ) {
+		if ( y > 0.0 ) {
 			return q + STDLIB_CONSTANT_FLOAT64_PI;
 		}
 		return q - STDLIB_CONSTANT_FLOAT64_PI;
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2/test/test.js b/lib/node_modules/@stdlib/math/base/special/atan2/test/test.js
index b40184637e9a..339a20eff6d1 100644
--- a/lib/node_modules/@stdlib/math/base/special/atan2/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/atan2/test/test.js
@@ -233,3 +233,10 @@ tape( 'the function evaluates the `atan2` function (when x and y are negative)',
 	}
 	t.end();
 });
+
+tape( 'the function returns `-PI` if provided a negative `y` and a negative `x` whose ratio underflows', function test( t ) {
+	t.strictEqual( atan2( -1.0e-300, -1.0e300 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2( -5.0e-324, -1.0 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2( 1.0e-300, -1.0e300 ), PI, 'returns expected value' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/atan2/test/test.native.js
index 2f3a3db1f619..24d94274f457 100755
--- a/lib/node_modules/@stdlib/math/base/special/atan2/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/atan2/test/test.native.js
@@ -242,3 +242,10 @@ tape( 'the function evaluates the `atan2` function (when x and y are negative)',
 	}
 	t.end();
 });
+
+tape( 'the function returns `-PI` if provided a negative `y` and a negative `x` whose ratio underflows', opts, function test( t ) {
+	t.strictEqual( atan2( -1.0e-300, -1.0e300 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2( -5.0e-324, -1.0 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2( 1.0e-300, -1.0e300 ), PI, 'returns expected value' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js
index fcab4e28790f..0be2edc1a175 100644
--- a/lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js
@@ -171,7 +171,7 @@ function atan2f( y, x ) {
 	}
 	q = atanf( f32( y / x ) );
 	if ( x < 0.0 ) {
-		if ( q <= 0.0 ) {
+		if ( y > 0.0 ) {
 			return f32( q + PI );
 		}
 		return f32( q - PI );
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c b/lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c
index 4779f6984091..84c0c31dd5fc 100755
--- a/lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c
@@ -103,7 +103,7 @@ float stdlib_base_atan2f( const float y, const float x ) {
 	}
 	q = stdlib_base_atanf( y / x );
 	if ( x < 0.0f ) {
-		if ( q <= 0.0f ) {
+		if ( y > 0.0f ) {
 			return q + STDLIB_CONSTANT_FLOAT32_PI;
 		}
 		return q - STDLIB_CONSTANT_FLOAT32_PI;
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js
index 44240997c678..a9eb9a4099aa 100644
--- a/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js
@@ -237,3 +237,10 @@ tape( 'the function evaluates the `atan2f` function (when x and y are negative)'
 	}
 	t.end();
 });
+
+tape( 'the function returns `-PI` if provided a negative `y` and a negative `x` whose ratio underflows', function test( t ) {
+	t.strictEqual( atan2f( -1.0e-30, -1.0e30 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2f( -1.0e-45, -1.0 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2f( 1.0e-30, -1.0e30 ), PI, 'returns expected value' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js
index 6824aec73f7a..42d787bc9a49 100755
--- a/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js
@@ -246,3 +246,10 @@ tape( 'the function evaluates the `atan2f` function (when x and y are negative)'
 	}
 	t.end();
 });
+
+tape( 'the function returns `-PI` if provided a negative `y` and a negative `x` whose ratio underflows', opts, function test( t ) {
+	t.strictEqual( atan2f( -1.0e-30, -1.0e30 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2f( -1.0e-45, -1.0 ), -PI, 'returns expected value' );
+	t.strictEqual( atan2f( 1.0e-30, -1.0e30 ), PI, 'returns expected value' );
+	t.end();
+});