From e903bbad5df73d5fb1dc59c08c6490dcc9d1c255 Mon Sep 17 00:00:00 2001
From: Vincent Michaud-Rioux <vincent.michaud-rioux@xanadu.ai>
Date: Tue, 22 Aug 2023 07:58:00 -0700
Subject: [PATCH 1/8] Do not import numbers header in main code.

---
 .../algorithms/tests/Test_VectorJacobianProduct.cpp          | 1 +
 pennylane_lightning/core/src/utils/Util.hpp                  | 5 ++---
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/pennylane_lightning/core/src/simulators/lightning_qubit/algorithms/tests/Test_VectorJacobianProduct.cpp b/pennylane_lightning/core/src/simulators/lightning_qubit/algorithms/tests/Test_VectorJacobianProduct.cpp
index 8af2d4bb7b..e64a1c5014 100644
--- a/pennylane_lightning/core/src/simulators/lightning_qubit/algorithms/tests/Test_VectorJacobianProduct.cpp
+++ b/pennylane_lightning/core/src/simulators/lightning_qubit/algorithms/tests/Test_VectorJacobianProduct.cpp
@@ -12,6 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 #include <algorithm>
+#include <numbers>
 #include <random>
 #include <span>
 #include <vector>
diff --git a/pennylane_lightning/core/src/utils/Util.hpp b/pennylane_lightning/core/src/utils/Util.hpp
index 4eb82aacf4..f4afc4fd8b 100644
--- a/pennylane_lightning/core/src/utils/Util.hpp
+++ b/pennylane_lightning/core/src/utils/Util.hpp
@@ -20,7 +20,6 @@
 
 #include <cmath>
 #include <complex>
-#include <numbers> // sqrt2_v
 #include <numeric> // transform_reduce
 #include <set>
 #include <type_traits> // is_same_v
@@ -175,7 +174,7 @@ inline static constexpr auto IMAG() -> ComplexT<T> {
  * @return constexpr T sqrt(2)
  */
 template <class T> inline static constexpr auto SQRT2() -> T {
-    return std::numbers::sqrt2_v<T>;
+    return std::sqrt(static_cast<T>(2.0));
 }
 
 /**
@@ -187,7 +186,7 @@ template <class T> inline static constexpr auto SQRT2() -> T {
  */
 template <template <class> class ComplexT, class T>
 inline static constexpr auto SQRT2() -> ComplexT<T> {
-    return std::numbers::sqrt2_v<T>;
+    return std::sqrt(static_cast<T>(2.0));
 }
 
 /**

From 10326ae85c3d5c4e4f4dd9c1828cfb8ce321c7b7 Mon Sep 17 00:00:00 2001
From: Dev version update bot <github-actions[bot]@users.noreply.github.com>
Date: Tue, 22 Aug 2023 15:30:35 +0000
Subject: [PATCH 2/8] Auto update version

---
 pennylane_lightning/core/_version.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/pennylane_lightning/core/_version.py b/pennylane_lightning/core/_version.py
index b218438407..3a4a0472e8 100644
--- a/pennylane_lightning/core/_version.py
+++ b/pennylane_lightning/core/_version.py
@@ -16,4 +16,4 @@
    Version number (major.minor.patch[-label])
 """
 
-__version__ = "0.32.0-dev9"
+__version__ = "0.32.0-dev10"

From 68358ff1b777c9690ef0ac2346c4bdd0015c6be9 Mon Sep 17 00:00:00 2001
From: Vincent Michaud-Rioux <vincent.michaud-rioux@xanadu.ai>
Date: Tue, 22 Aug 2023 08:44:53 -0700
Subject: [PATCH 3/8] Update changelog.

---
 .github/CHANGELOG.md | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/.github/CHANGELOG.md b/.github/CHANGELOG.md
index f0f2c41a66..32719b3aa8 100644
--- a/.github/CHANGELOG.md
+++ b/.github/CHANGELOG.md
@@ -21,6 +21,9 @@
 
 ### Bug fixes
 
+* Do no import `sqrt2_v` from `<numbers>` in `Util.hpp` to resolve issue with Lightning-GPU builds.
+  [(#479)](https://github.com/PennyLaneAI/pennylane-lightning/pull/479)
+
 * Update the CMake internal references to enable sub-project compilation with affecting the parent package.
   [(#478)](https://github.com/PennyLaneAI/pennylane-lightning/pull/478)
 

From 29f7b9d7948db7d884ce63bf61d5b29b70ae38bd Mon Sep 17 00:00:00 2001
From: Vincent Michaud-Rioux <vincent.michaud-rioux@xanadu.ai>
Date: Tue, 22 Aug 2023 09:17:16 -0700
Subject: [PATCH 4/8] Fix INVSQRT2

---
 pennylane_lightning/core/src/utils/Util.hpp | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/pennylane_lightning/core/src/utils/Util.hpp b/pennylane_lightning/core/src/utils/Util.hpp
index f4afc4fd8b..ca7284a5fb 100644
--- a/pennylane_lightning/core/src/utils/Util.hpp
+++ b/pennylane_lightning/core/src/utils/Util.hpp
@@ -196,7 +196,7 @@ inline static constexpr auto SQRT2() -> ComplexT<T> {
  * @return constexpr T 1/sqrt(2)
  */
 template <class T> inline static constexpr auto INVSQRT2() -> T {
-    return {1 / SQRT2<T>()};
+    return std::sqrt(static_cast<T>(0.5));
 }
 
 /**
@@ -208,7 +208,7 @@ template <class T> inline static constexpr auto INVSQRT2() -> T {
  */
 template <template <class> class ComplexT, class T>
 inline static constexpr auto INVSQRT2() -> ComplexT<T> {
-    return {1 / SQRT2<T>()};
+    return std::sqrt(static_cast<T>(0.5));
 }
 
 /**

From 1fd92ffbf00364ca1d755f56139fc7347966a08c Mon Sep 17 00:00:00 2001
From: Vincent Michaud-Rioux <vincent.michaud-rioux@xanadu.ai>
Date: Tue, 22 Aug 2023 09:36:32 -0700
Subject: [PATCH 5/8] Cannot use sqrt on Windows/Mac.

---
 pennylane_lightning/core/src/utils/Util.hpp | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/pennylane_lightning/core/src/utils/Util.hpp b/pennylane_lightning/core/src/utils/Util.hpp
index ca7284a5fb..833fdd0e87 100644
--- a/pennylane_lightning/core/src/utils/Util.hpp
+++ b/pennylane_lightning/core/src/utils/Util.hpp
@@ -174,7 +174,7 @@ inline static constexpr auto IMAG() -> ComplexT<T> {
  * @return constexpr T sqrt(2)
  */
 template <class T> inline static constexpr auto SQRT2() -> T {
-    return std::sqrt(static_cast<T>(2.0));
+    return static_cast<T>(1.414213562373095048801688724209698079L);
 }
 
 /**
@@ -186,7 +186,7 @@ template <class T> inline static constexpr auto SQRT2() -> T {
  */
 template <template <class> class ComplexT, class T>
 inline static constexpr auto SQRT2() -> ComplexT<T> {
-    return std::sqrt(static_cast<T>(2.0));
+    return static_cast<T>(1.414213562373095048801688724209698079L);
 }
 
 /**
@@ -196,7 +196,7 @@ inline static constexpr auto SQRT2() -> ComplexT<T> {
  * @return constexpr T 1/sqrt(2)
  */
 template <class T> inline static constexpr auto INVSQRT2() -> T {
-    return std::sqrt(static_cast<T>(0.5));
+    return static_cast<T>(0.707106781186547461715008466853760182L);
 }
 
 /**
@@ -208,7 +208,7 @@ template <class T> inline static constexpr auto INVSQRT2() -> T {
  */
 template <template <class> class ComplexT, class T>
 inline static constexpr auto INVSQRT2() -> ComplexT<T> {
-    return std::sqrt(static_cast<T>(0.5));
+    return static_cast<T>(0.707106781186547461715008466853760182L);
 }
 
 /**

From 995c028e9cd0ae323e7c8c12d5ce93d81f8775a1 Mon Sep 17 00:00:00 2001
From: Vincent Michaud-Rioux <vincent.michaud-rioux@xanadu.ai>
Date: Tue, 22 Aug 2023 09:51:46 -0700
Subject: [PATCH 6/8] Build doc with PL@master.

---
 doc/requirements.txt | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/doc/requirements.txt b/doc/requirements.txt
index 3acc41f79a..ab658fbab5 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -5,4 +5,5 @@ graphviz
 pybind11
 sphinx
 sphinx-automodapi
-pennylane-sphinx-theme
+git+https://github.com/PennyLaneAI/pennylane.git@master
+pennylane-sphinx-theme
\ No newline at end of file

From 312c349fa51b6b8122df98dcf6ff49949f38c8e2 Mon Sep 17 00:00:00 2001
From: Vincent Michaud-Rioux <vincent.michaud-rioux@xanadu.ai>
Date: Tue, 22 Aug 2023 10:56:06 -0700
Subject: [PATCH 7/8] Revert SQTR2 to old def.

---
 pennylane_lightning/core/src/utils/Util.hpp | 25 +++++++++++++++++----
 1 file changed, 21 insertions(+), 4 deletions(-)

diff --git a/pennylane_lightning/core/src/utils/Util.hpp b/pennylane_lightning/core/src/utils/Util.hpp
index 833fdd0e87..71799535d3 100644
--- a/pennylane_lightning/core/src/utils/Util.hpp
+++ b/pennylane_lightning/core/src/utils/Util.hpp
@@ -20,6 +20,7 @@
 
 #include <cmath>
 #include <complex>
+#include <numbers>
 #include <numeric> // transform_reduce
 #include <set>
 #include <type_traits> // is_same_v
@@ -174,7 +175,15 @@ inline static constexpr auto IMAG() -> ComplexT<T> {
  * @return constexpr T sqrt(2)
  */
 template <class T> inline static constexpr auto SQRT2() -> T {
-    return static_cast<T>(1.414213562373095048801688724209698079L);
+#if __cpp_lib_math_constants >= 201907L
+    return std::numbers::sqrt2_v<T>;
+#else
+    if constexpr (std::is_same_v<T, float>) {
+        return 0x1.6a09e6p+0F; // NOLINT: To be replaced in C++20
+    } else {
+        return 0x1.6a09e667f3bcdp+0; // NOLINT: To be replaced in C++20
+    }
+#endif
 }
 
 /**
@@ -186,7 +195,15 @@ template <class T> inline static constexpr auto SQRT2() -> T {
  */
 template <template <class> class ComplexT, class T>
 inline static constexpr auto SQRT2() -> ComplexT<T> {
-    return static_cast<T>(1.414213562373095048801688724209698079L);
+#if __cpp_lib_math_constants >= 201907L
+    return std::numbers::sqrt2_v<T>;
+#else
+    if constexpr (std::is_same_v<T, float>) {
+        return 0x1.6a09e6p+0F; // NOLINT: To be replaced in C++20
+    } else {
+        return 0x1.6a09e667f3bcdp+0; // NOLINT: To be replaced in C++20
+    }
+#endif
 }
 
 /**
@@ -196,7 +213,7 @@ inline static constexpr auto SQRT2() -> ComplexT<T> {
  * @return constexpr T 1/sqrt(2)
  */
 template <class T> inline static constexpr auto INVSQRT2() -> T {
-    return static_cast<T>(0.707106781186547461715008466853760182L);
+    return {1 / SQRT2<T>()};
 }
 
 /**
@@ -208,7 +225,7 @@ template <class T> inline static constexpr auto INVSQRT2() -> T {
  */
 template <template <class> class ComplexT, class T>
 inline static constexpr auto INVSQRT2() -> ComplexT<T> {
-    return static_cast<T>(0.707106781186547461715008466853760182L);
+    return static_cast<ComplexT<T>>(INVSQRT2<T>());
 }
 
 /**

From a477f475a8e71c1e9f3d84ea52bcc5ba239f9e5b Mon Sep 17 00:00:00 2001
From: Vincent Michaud-Rioux <vincentm@nanoacademic.com>
Date: Tue, 22 Aug 2023 14:25:51 -0400
Subject: [PATCH 8/8] Update requirements.txt

---
 doc/requirements.txt | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/doc/requirements.txt b/doc/requirements.txt
index ab658fbab5..3acc41f79a 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -5,5 +5,4 @@ graphviz
 pybind11
 sphinx
 sphinx-automodapi
-git+https://github.com/PennyLaneAI/pennylane.git@master
-pennylane-sphinx-theme
\ No newline at end of file
+pennylane-sphinx-theme