Add builtin sin, cos, sqrt pushforwards

include/clad/Differentiator/BuiltinDerivatives.h

@@ -152,6 +152,36 @@ __builtin_expf_pushforward(float x, float d_x) {
   return {__builtin_expf(x), __builtin_expf(x) * d_x};
 }
 
+CUDA_HOST_DEVICE inline ValueAndPushforward<float, float>
+__builtin_sinf_pushforward(float x, float d_x) {
+  return {__builtin_sinf(x), __builtin_cosf(x) * d_x};
+}
+
+CUDA_HOST_DEVICE inline ValueAndPushforward<double, double>
+__builtin_sin_pushforward(double x, double d_x) {
+  return {__builtin_sin(x), __builtin_cos(x) * d_x};
+}
+
+CUDA_HOST_DEVICE inline ValueAndPushforward<float, float>
+__builtin_cosf_pushforward(float x, float d_x) {
+  return {__builtin_cosf(x), (-1) * __builtin_sinf(x) * d_x};
+}
+
+CUDA_HOST_DEVICE inline ValueAndPushforward<double, double>
+__builtin_cos_pushforward(double x, double d_x) {
+  return {__builtin_cos(x), (-1) * __builtin_sin(x) * d_x};
+}
+
+CUDA_HOST_DEVICE inline ValueAndPushforward<float, float>
+__builtin_sqrtf_pushforward(float x, float d_x) {
+  return {builtin_sqrtf(x), (((T)1) / (((T)2) * builtin_sqrtf(x))) * d_x};
+}
+
+CUDA_HOST_DEVICE inline ValueAndPushforward<double, double>
+__builtin_sqrt_pushforward(double x, double d_x) {
+  return {builtin_sqrt(x), (((T)1) / (((T)2) * builtin_sqrt(x))) * d_x};
+}
+
 CUDA_HOST_DEVICE inline void __builtin_expf_pullback(float x, float* d_x) {
   *d_x = __builtin_expf(x);
 }