X-Git-Url: https://ginac.de/CLN/cln.git//cln.git?a=blobdiff_plain;f=src%2Ffloat%2Ftranscendental%2Fcl_LF_ratseries_q.cc;h=6f9818df63216ae750a779a370922cbf7c7eb442;hb=3af2cde18b3aabed4c808b0113daa81c2263b0bd;hp=a2e8f17107355976f4303dfbfe28b8b1417384e7;hpb=dd9e0f894eec7e2a8cf85078330ddc0a6639090b;p=cln.git diff --git a/src/float/transcendental/cl_LF_ratseries_q.cc b/src/float/transcendental/cl_LF_ratseries_q.cc index a2e8f17..6f9818d 100644 --- a/src/float/transcendental/cl_LF_ratseries_q.cc +++ b/src/float/transcendental/cl_LF_ratseries_q.cc @@ -1,18 +1,20 @@ -// eval_rational_series(). +// eval_rational_series(). // 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 "cl_lfloat.h" -#include "cl_integer.h" -#include "cl_abort.h" -#include "cl_LF.h" +#include "cln/lfloat.h" +#include "cln/integer.h" +#include "cln/exception.h" +#include "float/lfloat/cl_LF.h" + +namespace cln { // Subroutine. // Evaluates S = sum(N1 <= n < N2, a(n)/b(n) * (p(N1)...p(n))/(q(N1)...q(n))) @@ -20,13 +22,13 @@ // and T = B*Q*S (all integers). On entry N1 < N2. // P will not be computed if a NULL pointer is passed. -static void eval_q_series_aux (uintL N1, uintL N2, +static void eval_q_series_aux (uintC N1, uintC N2, const cl_q_series& args, cl_I* Q, cl_I* T) { switch (N2 - N1) { case 0: - cl_abort(); break; + throw runtime_exception(); break; case 1: *Q = args.qv[N1]; *T = 1; @@ -56,7 +58,74 @@ static void eval_q_series_aux (uintL N1, uintL N2, break; } default: { - var uintL Nm = (N1+N2)/2; // midpoint + var uintC Nm = (N1+N2)/2; // midpoint + // Compute left part. + var cl_I LQ, LT; + eval_q_series_aux(N1,Nm,args,&LQ,<); + // Compute right part. + var cl_I RQ, RT; + eval_q_series_aux(Nm,N2,args,&RQ,&RT); + // Put together partial results. + *Q = LQ*RQ; + // S = LS + 1/LQ * RS, so T = RQ*LT + RT. + *T = RQ*LT + RT; + break; + } + } +} + +template<> +const cl_LF eval_rational_series (uintC N, const cl_q_series& args, uintC len) +{ + if (N==0) + return cl_I_to_LF(0,len); + var cl_I Q, T; + eval_q_series_aux(0,N,args,&Q,&T); + return cl_I_to_LF(T,len) / cl_I_to_LF(Q,len); +} + +static void eval_q_series_aux (uintC N1, uintC N2, + cl_q_series_stream& args, + cl_I* Q, cl_I* T) +{ + switch (N2 - N1) { + case 0: + throw runtime_exception(); break; + case 1: { + var cl_q_series_term v0 = args.next(); // [N1] + *Q = v0.q; + *T = 1; + break; + } + case 2: { + var cl_q_series_term v0 = args.next(); // [N1] + var cl_q_series_term v1 = args.next(); // [N1+1] + *Q = v0.q * v1.q; + *T = v1.q + 1; + break; + } + case 3: { + var cl_q_series_term v0 = args.next(); // [N1] + var cl_q_series_term v1 = args.next(); // [N1+1] + var cl_q_series_term v2 = args.next(); // [N1+2] + var cl_I q12 = v1.q * v2.q; + *Q = v0.q * q12; + *T = q12 + v2.q + 1; + break; + } + case 4: { + var cl_q_series_term v0 = args.next(); // [N1] + var cl_q_series_term v1 = args.next(); // [N1+1] + var cl_q_series_term v2 = args.next(); // [N1+2] + var cl_q_series_term v3 = args.next(); // [N1+3] + var cl_I q23 = v2.q * v3.q; + var cl_I q123 = v1.q * q23; + *Q = v0.q * q123; + *T = q123 + q23 + v3.q + 1; + break; + } + default: { + var uintC Nm = (N1+N2)/2; // midpoint // Compute left part. var cl_I LQ, LT; eval_q_series_aux(N1,Nm,args,&LQ,<); @@ -72,7 +141,8 @@ static void eval_q_series_aux (uintL N1, uintL N2, } } -const cl_LF eval_rational_series (uintL N, const cl_q_series& args, uintC len) +template<> +const cl_LF eval_rational_series (uintC N, cl_q_series_stream& args, uintC len) { if (N==0) return cl_I_to_LF(0,len); @@ -82,3 +152,5 @@ const cl_LF eval_rational_series (uintL N, const cl_q_series& args, uintC len) } // Bit complexity (if p(n), q(n), a(n), b(n) have length O(log(n))): // O(log(N)^2*M(N)). + +} // namespace cln