// eval_pqcd_series_aux().
// General includes.
-#include "cl_sysdep.h"
+#include "base/cl_sysdep.h"
// Specification.
-#include "cl_LF_tran.h"
+#include "float/transcendental/cl_LF_tran.h"
// Implementation.
#include "cln/integer.h"
-#include "cln/abort.h"
+#include "cln/real.h"
+#include "cln/exception.h"
namespace cln {
-void eval_pqcd_series_aux (uintC N, cl_pqcd_series_term* args, cl_pqcd_series_result& Z, cl_boolean rightmost)
+void eval_pqcd_series_aux (uintC N, cl_pqcd_series_term* args, cl_pqcd_series_result<cl_I>& Z, bool rightmost)
{
// N = N2-N1
switch (N) {
case 0:
- cl_abort(); break;
+ throw runtime_exception(); break;
case 1:
if (!rightmost) { Z.P = args[0].p; }
Z.Q = args[0].q;
default: {
var uintC Nm = N/2; // midpoint
// Compute left part.
- var cl_pqcd_series_result L;
- eval_pqcd_series_aux(Nm,args+0,L,cl_false);
+ var cl_pqcd_series_result<cl_I> L;
+ eval_pqcd_series_aux(Nm,args+0,L,false);
// Compute right part.
- var cl_pqcd_series_result R;
+ var cl_pqcd_series_result<cl_I> R;
eval_pqcd_series_aux(N-Nm,args+Nm,R,rightmost);
// Put together partial results.
if (!rightmost) { Z.P = L.P * R.P; }
}
}
+void eval_pqcd_series_aux (uintC N, cl_pqcd_series_stream& args, cl_pqcd_series_result<cl_I>& Z, bool rightmost)
+{
+ // N = N2-N1
+ switch (N) {
+ case 0:
+ throw runtime_exception(); break;
+ case 1: {
+ var cl_pqcd_series_term v0 = args.next(); // [N1]
+ if (!rightmost) { Z.P = v0.p; }
+ Z.Q = v0.q;
+ Z.T = v0.p;
+ if (!rightmost) { Z.C = v0.c; }
+ Z.D = v0.d;
+ Z.V = v0.c * v0.p;
+ break;
+ }
+ case 2: {
+ var cl_pqcd_series_term v0 = args.next(); // [N1]
+ var cl_pqcd_series_term v1 = args.next(); // [N1+1]
+ var cl_I p01 = v0.p * v1.p;
+ if (!rightmost) { Z.P = p01; }
+ Z.Q = v0.q * v1.q;
+ var cl_I p0q1 = v0.p * v1.q + p01;
+ Z.T = p0q1;
+ var cl_I c0d1 = v0.c * v1.d;
+ var cl_I c1d0 = v1.c * v0.d;
+ if (!rightmost) { Z.C = c0d1 + c1d0; }
+ Z.D = v0.d * v1.d;
+ Z.V = c0d1 * p0q1 + c1d0 * p01;
+ break;
+ }
+ case 3: {
+ var cl_pqcd_series_term v0 = args.next(); // [N1]
+ var cl_pqcd_series_term v1 = args.next(); // [N1+1]
+ var cl_pqcd_series_term v2 = args.next(); // [N1+2]
+ var cl_I p01 = v0.p * v1.p;
+ var cl_I p012 = p01 * v2.p;
+ if (!rightmost) { Z.P = p012; }
+ Z.Q = v0.q * v1.q * v2.q;
+ var cl_I p0q1 = v0.p * v1.q + p01;
+ Z.T = v2.q * p0q1 + p012;
+ var cl_I c0d1 = v0.c * v1.d;
+ var cl_I c1d0 = v1.c * v0.d;
+ var cl_I d01 = v0.d * v1.d;
+ if (!rightmost) { Z.C = (c0d1 + c1d0) * v2.d + v2.c * d01; }
+ Z.D = d01 * v2.d;
+ Z.V = v2.d * (v2.q * (c0d1 * p0q1 + c1d0 * p01) + (c0d1 + c1d0) * p012) + v2.c * d01 * p012;
+ break;
+ }
+ default: {
+ var uintC Nm = N/2; // midpoint
+ // Compute left part.
+ var cl_pqcd_series_result<cl_I> L;
+ eval_pqcd_series_aux(Nm,args,L,false);
+ // Compute right part.
+ var cl_pqcd_series_result<cl_I> R;
+ eval_pqcd_series_aux(N-Nm,args,R,rightmost);
+ // Put together partial results.
+ if (!rightmost) { Z.P = L.P * R.P; }
+ Z.Q = L.Q * R.Q;
+ // Z.S = L.S + L.P/L.Q*R.S;
+ var cl_I tmp = L.P * R.T;
+ Z.T = R.Q * L.T + tmp;
+ if (!rightmost) { Z.C = L.C * R.D + L.D * R.C; }
+ Z.D = L.D * R.D;
+ // Z.U = L.U + L.C/L.D * L.P/L.Q * R.S + L.P/L.Q * R.U;
+ // Z.V = R.D * R.Q * L.V + R.D * L.C * L.P * R.T + L.D * L.P * R.V;
+ Z.V = R.D * (R.Q * L.V + L.C * tmp) + L.D * L.P * R.V;
+ break;
+ }
+ }
+}
+
+void eval_pqcd_series_aux (uintC N, cl_pqcd_series_stream& args, cl_pqcd_series_result<cl_R>& Z, uintC trunclen, bool rightmost)
+{
+ // N = N2-N1
+ switch (N) {
+ case 0:
+ throw runtime_exception(); break;
+ case 1: {
+ var cl_pqcd_series_term v0 = args.next(); // [N1]
+ if (!rightmost) { Z.P = v0.p; }
+ Z.Q = v0.q;
+ Z.T = v0.p;
+ if (!rightmost) { Z.C = v0.c; }
+ Z.D = v0.d;
+ Z.V = v0.c * v0.p;
+ break;
+ }
+ case 2: {
+ var cl_pqcd_series_term v0 = args.next(); // [N1]
+ var cl_pqcd_series_term v1 = args.next(); // [N1+1]
+ var cl_I p01 = v0.p * v1.p;
+ if (!rightmost) { Z.P = p01; }
+ Z.Q = v0.q * v1.q;
+ var cl_I p0q1 = v0.p * v1.q + p01;
+ Z.T = p0q1;
+ var cl_I c0d1 = v0.c * v1.d;
+ var cl_I c1d0 = v1.c * v0.d;
+ if (!rightmost) { Z.C = c0d1 + c1d0; }
+ Z.D = v0.d * v1.d;
+ Z.V = c0d1 * p0q1 + c1d0 * p01;
+ break;
+ }
+ case 3: {
+ var cl_pqcd_series_term v0 = args.next(); // [N1]
+ var cl_pqcd_series_term v1 = args.next(); // [N1+1]
+ var cl_pqcd_series_term v2 = args.next(); // [N1+2]
+ var cl_I p01 = v0.p * v1.p;
+ var cl_I p012 = p01 * v2.p;
+ if (!rightmost) { Z.P = p012; }
+ Z.Q = v0.q * v1.q * v2.q;
+ var cl_I p0q1 = v0.p * v1.q + p01;
+ Z.T = v2.q * p0q1 + p012;
+ var cl_I c0d1 = v0.c * v1.d;
+ var cl_I c1d0 = v1.c * v0.d;
+ var cl_I d01 = v0.d * v1.d;
+ if (!rightmost) { Z.C = (c0d1 + c1d0) * v2.d + v2.c * d01; }
+ Z.D = d01 * v2.d;
+ Z.V = v2.d * (v2.q * (c0d1 * p0q1 + c1d0 * p01) + (c0d1 + c1d0) * p012) + v2.c * d01 * p012;
+ break;
+ }
+ default: {
+ var uintC Nm = N/2; // midpoint
+ // Compute left part.
+ var cl_pqcd_series_result<cl_R> L;
+ eval_pqcd_series_aux(Nm,args,L,trunclen,false);
+ // Compute right part.
+ var cl_pqcd_series_result<cl_R> R;
+ eval_pqcd_series_aux(N-Nm,args,R,trunclen,rightmost);
+ // Put together partial results.
+ if (!rightmost) {
+ Z.P = L.P * R.P;
+ truncate_precision(Z.P,trunclen);
+ }
+ Z.Q = L.Q * R.Q;
+ truncate_precision(Z.Q,trunclen);
+ // Z.S = L.S + L.P/L.Q*R.S;
+ var cl_R tmp = L.P * R.T;
+ Z.T = R.Q * L.T + tmp;
+ truncate_precision(Z.T,trunclen);
+ if (!rightmost) {
+ Z.C = L.C * R.D + L.D * R.C;
+ truncate_precision(Z.C,trunclen);
+ }
+ Z.D = L.D * R.D;
+ truncate_precision(Z.D,trunclen);
+ // Z.U = L.U + L.C/L.D * L.P/L.Q * R.S + L.P/L.Q * R.U;
+ // Z.V = R.D * R.Q * L.V + R.D * L.C * L.P * R.T + L.D * L.P * R.V;
+ Z.V = R.D * (R.Q * L.V + L.C * tmp) + L.D * L.P * R.V;
+ truncate_precision(Z.V,trunclen);
+ break;
+ }
+ }
+}
+
} // namespace cln
git://www.ginac.de / cln.git / blobdiff