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+#ifndef SHAPEFACTORS_H_
+#define SHAPEFACTORS_H_
+
+// Compute shape factor and return index of leftmost cell where
+// particle writes.
+// Specialized templates are defined below for orders 0 to 3.
+template <int depos_order>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shape_factor(amrex::Real* const sx, amrex::Real xint)
+{
+ return 0;
+};
+
+// Compute shape factor for order 0.
+template <>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shape_factor <0> (amrex::Real* const sx, amrex::Real xmid){
+ const int j = (int) (xmid+0.5);
+ sx[0] = 1.0;
+ return j;
+}
+
+// Compute shape factor for order 1.
+template <>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shape_factor <1> (amrex::Real* const sx, amrex::Real xmid){
+ const int j = (int) xmid;
+ const amrex::Real xint = xmid-j;
+ sx[0] = 1.0 - xint;
+ sx[1] = xint;
+ return j;
+}
+
+// Compute shape factor for order 2.
+template <>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shape_factor <2> (amrex::Real* const sx, amrex::Real xmid){
+ const int j = (int) (xmid+0.5);
+ const amrex::Real xint = xmid-j;
+ sx[0] = 0.5*(0.5-xint)*(0.5-xint);
+ sx[1] = 0.75-xint*xint;
+ sx[2] = 0.5*(0.5+xint)*(0.5+xint);
+ // index of the leftmost cell where particle deposits
+ return j-1;
+}
+
+// Compute shape factor for order 3.
+template <>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shape_factor <3> (amrex::Real* const sx, amrex::Real xmid){
+ const int j = (int) xmid;
+ const amrex::Real xint = xmid-j;
+ sx[0] = 1.0/6.0*(1.0-xint)*(1.0-xint)*(1.0-xint);
+ sx[1] = 2.0/3.0-xint*xint*(1-xint/2.0);
+ sx[2] = 2.0/3.0-(1-xint)*(1-xint)*(1.0-0.5*(1-xint));
+ sx[3] = 1.0/6.0*xint*xint*xint;
+ // index of the leftmost cell where particle deposits
+ return j-1;
+}
+
+// Compute shifted shape factor and return index of leftmost cell where
+// particle writes, for Esirkepov algorithm.
+// Specialized templates are defined below for orders 1, 2 and 3.
+template <int depos_order>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shifted_shape_factor (amrex::Real* const sx,
+ const amrex::Real x_old,
+ const int i_new);
+
+// Compute shape factor for order 1.
+template <>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shifted_shape_factor <1> (amrex::Real* const sx,
+ const amrex::Real x_old,
+ const int i_new){
+ const int i = (int) x_old;
+ const int i_shift = i - i_new;
+ const amrex::Real xint = x_old - i;
+ sx[1+i_shift] = 1.0 - xint;
+ sx[2+i_shift] = xint;
+ return i;
+}
+
+// Compute shape factor for order 2.
+template <>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shifted_shape_factor <2> (amrex::Real* const sx,
+ const amrex::Real x_old,
+ const int i_new){
+ const int i = (int) (x_old+0.5);
+ const int i_shift = i - (i_new + 1);
+ const amrex::Real xint = x_old - i;
+ sx[1+i_shift] = 0.5*(0.5-xint)*(0.5-xint);
+ sx[2+i_shift] = 0.75-xint*xint;
+ sx[3+i_shift] = 0.5*(0.5+xint)*(0.5+xint);
+ // index of the leftmost cell where particle deposits
+ return i-1;
+}
+
+// Compute shape factor for order 3.
+template <>
+AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+int compute_shifted_shape_factor <3> (amrex::Real* const sx,
+ const amrex::Real x_old,
+ const int i_new){
+ const int i = (int) x_old;
+ const int i_shift = i - (i_new + 1);
+ const amrex::Real xint = x_old - i;
+ sx[1+i_shift] = 1.0/6.0*(1.0-xint)*(1.0-xint)*(1.0-xint);
+ sx[2+i_shift] = 2.0/3.0-xint*xint*(1-xint/2.0);
+ sx[3+i_shift] = 2.0/3.0-(1-xint)*(1-xint)*(1.0-0.5*(1-xint));
+ sx[4+i_shift] = 1.0/6.0*xint*xint*xint;
+ // index of the leftmost cell where particle deposits
+ return i-1;
+}
+
+#endif // SHAPEFACTORS_H_