2011-04-08 Joel Sherrill <joel.sherrill@oarcorp.com>

	* AUTHORS, BUGS, COPYING, ChangeLog, INSTALL, Makefile.am, Makefile.in,
	NEWS, README, SUPPORT, THANKS, TODO, acconfig.h, aclocal.m4,
	autogen.sh, config.guess, config.h.in, config.sub, configure,
	configure.ac, gsl-config.in, gsl-histogram.c, gsl-randist.c, gsl.m4,
	gsl.pc.in, gsl.spec.in, gsl_machine.h, gsl_math.h, gsl_mode.h,
	gsl_nan.h, gsl_pow_int.h, gsl_precision.h, gsl_types.h,
	gsl_version.h.in, install-sh, ltmain.sh, mdate-sh, missing,
	mkinstalldirs, templates_off.h, templates_on.h,
	test_gsl_histogram.sh, version.c, blas/ChangeLog, blas/Makefile.am,
	blas/Makefile.in, blas/TODO, blas/blas.c, blas/gsl_blas.h,
	blas/gsl_blas_types.h, block/ChangeLog, block/Makefile.am,
	block/Makefile.in, block/block.c, block/block_source.c, block/file.c,
	block/fprintf_source.c, block/fwrite_source.c, block/gsl_block.h,
	block/gsl_block_char.h, block/gsl_block_complex_double.h,
	block/gsl_block_complex_float.h,
	block/gsl_block_complex_long_double.h, block/gsl_block_double.h,
	block/gsl_block_float.h, block/gsl_block_int.h,
	block/gsl_block_long.h, block/gsl_block_long_double.h,
	block/gsl_block_short.h, block/gsl_block_uchar.h,
	block/gsl_block_uint.h, block/gsl_block_ulong.h,
	block/gsl_block_ushort.h, block/gsl_check_range.h, block/init.c,
	block/init_source.c, block/test.c, block/test_complex_io.c,
	block/test_complex_source.c, block/test_io.c, block/test_source.c,
	bspline/ChangeLog, bspline/Makefile.am, bspline/Makefile.in,
	bspline/TODO, bspline/bspline.c, bspline/gsl_bspline.h,
	bspline/test.c, cblas/ChangeLog, cblas/Makefile.am,
	cblas/Makefile.in, cblas/TODO, cblas/caxpy.c, cblas/cblas.h,
	cblas/ccopy.c, cblas/cdotc_sub.c, cblas/cdotu_sub.c, cblas/cgbmv.c,
	cblas/cgemm.c, cblas/cgemv.c, cblas/cgerc.c, cblas/cgeru.c,
	cblas/chbmv.c, cblas/chemm.c, cblas/chemv.c, cblas/cher.c,
	cblas/cher2.c, cblas/cher2k.c, cblas/cherk.c, cblas/chpmv.c,
	cblas/chpr.c, cblas/chpr2.c, cblas/cscal.c, cblas/csscal.c,
	cblas/cswap.c, cblas/csymm.c, cblas/csyr2k.c, cblas/csyrk.c,
	cblas/ctbmv.c, cblas/ctbsv.c, cblas/ctpmv.c, cblas/ctpsv.c,
	cblas/ctrmm.c, cblas/ctrmv.c, cblas/ctrsm.c, cblas/ctrsv.c,
	cblas/dasum.c, cblas/daxpy.c, cblas/dcopy.c, cblas/ddot.c,
	cblas/dgbmv.c, cblas/dgemm.c, cblas/dgemv.c, cblas/dger.c,
	cblas/dnrm2.c, cblas/drot.c, cblas/drotg.c, cblas/drotm.c,
	cblas/drotmg.c, cblas/dsbmv.c, cblas/dscal.c, cblas/dsdot.c,
	cblas/dspmv.c, cblas/dspr.c, cblas/dspr2.c, cblas/dswap.c,
	cblas/dsymm.c, cblas/dsymv.c, cblas/dsyr.c, cblas/dsyr2.c,
	cblas/dsyr2k.c, cblas/dsyrk.c, cblas/dtbmv.c, cblas/dtbsv.c,
	cblas/dtpmv.c, cblas/dtpsv.c, cblas/dtrmm.c, cblas/dtrmv.c,
	cblas/dtrsm.c, cblas/dtrsv.c, cblas/dzasum.c, cblas/dznrm2.c,
	cblas/gsl_cblas.h, cblas/hypot.c, cblas/icamax.c, cblas/idamax.c,
	cblas/isamax.c, cblas/izamax.c, cblas/sasum.c, cblas/saxpy.c,
	cblas/scasum.c, cblas/scnrm2.c, cblas/scopy.c, cblas/sdot.c,
	cblas/sdsdot.c, cblas/sgbmv.c, cblas/sgemm.c, cblas/sgemv.c,
	cblas/sger.c, cblas/snrm2.c, cblas/source_asum_c.h,
	cblas/source_asum_r.h, cblas/source_axpy_c.h, cblas/source_axpy_r.h,
	cblas/source_copy_c.h, cblas/source_copy_r.h, cblas/source_dot_c.h,
	cblas/source_dot_r.h, cblas/source_gbmv_c.h, cblas/source_gbmv_r.h,
	cblas/source_gemm_c.h, cblas/source_gemm_r.h, cblas/source_gemv_c.h,
	cblas/source_gemv_r.h, cblas/source_ger.h, cblas/source_gerc.h,
	cblas/source_geru.h, cblas/source_hbmv.h, cblas/source_hemm.h,
	cblas/source_hemv.h, cblas/source_her.h, cblas/source_her2.h,
	cblas/source_her2k.h, cblas/source_herk.h, cblas/source_hpmv.h,
	cblas/source_hpr.h, cblas/source_hpr2.h, cblas/source_iamax_c.h,
	cblas/source_iamax_r.h, cblas/source_nrm2_c.h, cblas/source_nrm2_r.h,
	cblas/source_rot.h, cblas/source_rotg.h, cblas/source_rotm.h,
	cblas/source_rotmg.h, cblas/source_sbmv.h, cblas/source_scal_c.h,
	cblas/source_scal_c_s.h, cblas/source_scal_r.h, cblas/source_spmv.h,
	cblas/source_spr.h, cblas/source_spr2.h, cblas/source_swap_c.h,
	cblas/source_swap_r.h, cblas/source_symm_c.h, cblas/source_symm_r.h,
	cblas/source_symv.h, cblas/source_syr.h, cblas/source_syr2.h,
	cblas/source_syr2k_c.h, cblas/source_syr2k_r.h,
	cblas/source_syrk_c.h, cblas/source_syrk_r.h, cblas/source_tbmv_c.h,
	cblas/source_tbmv_r.h, cblas/source_tbsv_c.h, cblas/source_tbsv_r.h,
	cblas/source_tpmv_c.h, cblas/source_tpmv_r.h, cblas/source_tpsv_c.h,
	cblas/source_tpsv_r.h, cblas/source_trmm_c.h, cblas/source_trmm_r.h,
	cblas/source_trmv_c.h, cblas/source_trmv_r.h, cblas/source_trsm_c.h,
	cblas/source_trsm_r.h, cblas/source_trsv_c.h, cblas/source_trsv_r.h,
	cblas/srot.c, cblas/srotg.c, cblas/srotm.c, cblas/srotmg.c,
	cblas/ssbmv.c, cblas/sscal.c, cblas/sspmv.c, cblas/sspr.c,
	cblas/sspr2.c, cblas/sswap.c, cblas/ssymm.c, cblas/ssymv.c,
	cblas/ssyr.c, cblas/ssyr2.c, cblas/ssyr2k.c, cblas/ssyrk.c,
	cblas/stbmv.c, cblas/stbsv.c, cblas/stpmv.c, cblas/stpsv.c,
	cblas/strmm.c, cblas/strmv.c, cblas/strsm.c, cblas/strsv.c,
	cblas/test.c, cblas/test_amax.c, cblas/test_asum.c,
	cblas/test_axpy.c, cblas/test_copy.c, cblas/test_dot.c,
	cblas/test_gbmv.c, cblas/test_gemm.c, cblas/test_gemv.c,
	cblas/test_ger.c, cblas/test_hbmv.c, cblas/test_hemm.c,
	cblas/test_hemv.c, cblas/test_her.c, cblas/test_her2.c,
	cblas/test_her2k.c, cblas/test_herk.c, cblas/test_hpmv.c,
	cblas/test_hpr.c, cblas/test_hpr2.c, cblas/test_nrm2.c,
	cblas/test_rot.c, cblas/test_rotg.c, cblas/test_rotm.c,
	cblas/test_rotmg.c, cblas/test_sbmv.c, cblas/test_scal.c,
	cblas/test_spmv.c, cblas/test_spr.c, cblas/test_spr2.c,
	cblas/test_swap.c, cblas/test_symm.c, cblas/test_symv.c,
	cblas/test_syr.c, cblas/test_syr2.c, cblas/test_syr2k.c,
	cblas/test_syrk.c, cblas/test_tbmv.c, cblas/test_tbsv.c,
	cblas/test_tpmv.c, cblas/test_tpsv.c, cblas/test_trmm.c,
	cblas/test_trmv.c, cblas/test_trsm.c, cblas/test_trsv.c,
	cblas/tests.c, cblas/tests.h, cblas/xerbla.c, cblas/zaxpy.c,
	cblas/zcopy.c, cblas/zdotc_sub.c, cblas/zdotu_sub.c, cblas/zdscal.c,
	cblas/zgbmv.c, cblas/zgemm.c, cblas/zgemv.c, cblas/zgerc.c,
	cblas/zgeru.c, cblas/zhbmv.c, cblas/zhemm.c, cblas/zhemv.c,
	cblas/zher.c, cblas/zher2.c, cblas/zher2k.c, cblas/zherk.c,
	cblas/zhpmv.c, cblas/zhpr.c, cblas/zhpr2.c, cblas/zscal.c,
	cblas/zswap.c, cblas/zsymm.c, cblas/zsyr2k.c, cblas/zsyrk.c,
	cblas/ztbmv.c, cblas/ztbsv.c, cblas/ztpmv.c, cblas/ztpsv.c,
	cblas/ztrmm.c, cblas/ztrmv.c, cblas/ztrsm.c, cblas/ztrsv.c,
	cdf/ChangeLog, cdf/Makefile.am, cdf/Makefile.in, cdf/beta.c,
	cdf/beta_inc.c, cdf/betainv.c, cdf/binomial.c, cdf/cauchy.c,
	cdf/cauchyinv.c, cdf/chisq.c, cdf/chisqinv.c, cdf/error.h,
	cdf/exponential.c, cdf/exponentialinv.c, cdf/exppow.c, cdf/fdist.c,
	cdf/fdistinv.c, cdf/flat.c, cdf/flatinv.c, cdf/gamma.c,
	cdf/gammainv.c, cdf/gauss.c, cdf/gaussinv.c, cdf/geometric.c,
	cdf/gsl_cdf.h, cdf/gumbel1.c, cdf/gumbel1inv.c, cdf/gumbel2.c,
	cdf/gumbel2inv.c, cdf/hypergeometric.c, cdf/laplace.c,
	cdf/laplaceinv.c, cdf/logistic.c, cdf/logisticinv.c, cdf/lognormal.c,
	cdf/lognormalinv.c, cdf/nbinomial.c, cdf/pareto.c, cdf/paretoinv.c,
	cdf/pascal.c, cdf/poisson.c, cdf/rat_eval.h, cdf/rayleigh.c,
	cdf/rayleighinv.c, cdf/tdist.c, cdf/tdistinv.c, cdf/test.c,
	cdf/test_auto.c, cdf/weibull.c, cdf/weibullinv.c, cheb/ChangeLog,
	cheb/Makefile.am, cheb/Makefile.in, cheb/deriv.c, cheb/eval.c,
	cheb/gsl_chebyshev.h, cheb/init.c, cheb/integ.c, cheb/test.c,
	combination/ChangeLog, combination/Makefile.am,
	combination/Makefile.in, combination/combination.c,
	combination/file.c, combination/gsl_combination.h,
	combination/init.c, combination/test.c, complex/ChangeLog,
	complex/Makefile.am, complex/Makefile.in, complex/TODO,
	complex/gsl_complex.h, complex/gsl_complex_math.h, complex/math.c,
	complex/results.h, complex/results1.h, complex/results_real.h,
	complex/test.c, const/ChangeLog, const/Makefile.am,
	const/Makefile.in, const/TODO, const/gsl_const.h,
	const/gsl_const_cgs.h, const/gsl_const_cgsm.h, const/gsl_const_mks.h,
	const/gsl_const_mksa.h, const/gsl_const_num.h, const/test.c,
	deriv/ChangeLog, deriv/Makefile.am, deriv/Makefile.in, deriv/deriv.c,
	deriv/gsl_deriv.h, deriv/test.c, dht/ChangeLog, dht/Makefile.am,
	dht/Makefile.in, dht/dht.c, dht/gsl_dht.h, dht/test.c,
	diff/ChangeLog, diff/Makefile.am, diff/Makefile.in, diff/diff.c,
	diff/gsl_diff.h, diff/test.c, doc/12-cities.eps, doc/ChangeLog,
	doc/Makefile.am, doc/Makefile.in, doc/algorithm.sty,
	doc/algorithmic.sty, doc/autoconf.texi, doc/blas.texi,
	doc/bspline.eps, doc/bspline.texi, doc/calc.sty, doc/cblas.texi,
	doc/cheb.eps, doc/cheb.texi, doc/combination.texi, doc/complex.texi,
	doc/const.texi, doc/debug.texi, doc/dht.texi, doc/diff.texi,
	doc/dwt-orig.eps, doc/dwt-samp.eps, doc/dwt.texi, doc/eigen.texi,
	doc/err.texi, doc/fdl.texi, doc/fft-complex-radix2-f.eps,
	doc/fft-complex-radix2-t.eps, doc/fft-complex-radix2.eps,
	doc/fft-real-mixedradix.eps, doc/fft.texi, doc/fftalgorithms.bib,
	doc/fftalgorithms.tex, doc/final-route.eps, doc/fit-exp.eps,
	doc/fit-wlinear.eps, doc/fit-wlinear2.eps, doc/fitting.texi,
	doc/freemanuals.texi, doc/gpl.texi, doc/gsl-config.1,
	doc/gsl-design.texi, doc/gsl-histogram.1, doc/gsl-randist.1,
	doc/gsl-ref.info, doc/gsl-ref.info-1, doc/gsl-ref.info-2,
	doc/gsl-ref.info-3, doc/gsl-ref.info-4, doc/gsl-ref.info-5,
	doc/gsl-ref.info-6, doc/gsl-ref.texi, doc/gsl.3, doc/histogram.eps,
	doc/histogram.texi, doc/histogram2d.eps, doc/ieee754.texi,
	doc/initial-route.eps, doc/integration.texi, doc/interp.texi,
	doc/interp2.eps, doc/interpp2.eps, doc/intro.texi, doc/landau.dat,
	doc/linalg.texi, doc/math.texi, doc/mdate-sh, doc/min-interval.eps,
	doc/min.texi, doc/montecarlo.texi, doc/multifit.texi,
	doc/multimin.eps, doc/multimin.texi, doc/multiroots.texi,
	doc/ntuple.eps, doc/ntuple.texi, doc/ode-initval.texi,
	doc/permutation.texi, doc/poly.texi, doc/qrng.eps, doc/qrng.texi,
	doc/rand-bernoulli.tex, doc/rand-beta.tex, doc/rand-binomial.tex,
	doc/rand-bivariate-gaussian.tex, doc/rand-cauchy.tex,
	doc/rand-chisq.tex, doc/rand-erlang.tex, doc/rand-exponential.tex,
	doc/rand-exppow.tex, doc/rand-fdist.tex, doc/rand-flat.tex,
	doc/rand-gamma.tex, doc/rand-gaussian-tail.tex,
	doc/rand-gaussian.tex, doc/rand-geometric.tex, doc/rand-gumbel.tex,
	doc/rand-gumbel1.tex, doc/rand-gumbel2.tex,
	doc/rand-hypergeometric.tex, doc/rand-landau.tex,
	doc/rand-laplace.tex, doc/rand-levy.tex, doc/rand-levyskew.tex,
	doc/rand-logarithmic.tex, doc/rand-logistic.tex,
	doc/rand-lognormal.tex, doc/rand-nbinomial.tex, doc/rand-pareto.tex,
	doc/rand-pascal.tex, doc/rand-poisson.tex,
	doc/rand-rayleigh-tail.tex, doc/rand-rayleigh.tex,
	doc/rand-tdist.tex, doc/rand-weibull.tex, doc/randist.texi,
	doc/random-walk.tex, doc/randplots.gnp, doc/rng.texi,
	doc/roots-bisection.eps, doc/roots-false-position.eps,
	doc/roots-newtons-method.eps, doc/roots-secant-method.eps,
	doc/roots.texi, doc/siman-energy.eps, doc/siman-test.eps,
	doc/siman.texi, doc/sort.texi, doc/specfunc-airy.texi,
	doc/specfunc-bessel.texi, doc/specfunc-clausen.texi,
	doc/specfunc-coulomb.texi, doc/specfunc-coupling.texi,
	doc/specfunc-dawson.texi, doc/specfunc-debye.texi,
	doc/specfunc-dilog.texi, doc/specfunc-elementary.texi,
	doc/specfunc-ellint.texi, doc/specfunc-elljac.texi,
	doc/specfunc-erf.texi, doc/specfunc-exp.texi,
	doc/specfunc-expint.texi, doc/specfunc-fermi-dirac.texi,
	doc/specfunc-gamma.texi, doc/specfunc-gegenbauer.texi,
	doc/specfunc-hyperg.texi, doc/specfunc-laguerre.texi,
	doc/specfunc-lambert.texi, doc/specfunc-legendre.texi,
	doc/specfunc-log.texi, doc/specfunc-mathieu.texi,
	doc/specfunc-pow-int.texi, doc/specfunc-psi.texi,
	doc/specfunc-synchrotron.texi, doc/specfunc-transport.texi,
	doc/specfunc-trig.texi, doc/specfunc-zeta.texi, doc/specfunc.texi,
	doc/stamp-vti, doc/statistics.texi, doc/sum.texi, doc/texinfo.tex,
	doc/usage.texi, doc/vdp.eps, doc/vectors.texi, doc/version-ref.texi,
	doc/examples/blas.c, doc/examples/blas.out, doc/examples/block.c,
	doc/examples/block.out, doc/examples/bspline.c, doc/examples/cblas.c,
	doc/examples/cblas.out, doc/examples/cdf.c, doc/examples/cdf.out,
	doc/examples/cheb.c, doc/examples/combination.c,
	doc/examples/combination.out, doc/examples/const.c,
	doc/examples/const.out, doc/examples/demo_fn.c,
	doc/examples/demo_fn.h, doc/examples/diff.c, doc/examples/diff.out,
	doc/examples/dwt.c, doc/examples/dwt.dat, doc/examples/ecg.dat,
	doc/examples/eigen.c, doc/examples/eigen_nonsymm.c,
	doc/examples/expfit.c, doc/examples/fft.c, doc/examples/fftmr.c,
	doc/examples/fftreal.c, doc/examples/fitting.c,
	doc/examples/fitting2.c, doc/examples/fitting3.c,
	doc/examples/histogram.c, doc/examples/histogram2d.c,
	doc/examples/ieee.c, doc/examples/ieeeround.c,
	doc/examples/integration.c, doc/examples/integration.out,
	doc/examples/interp.c, doc/examples/interpp.c, doc/examples/intro.c,
	doc/examples/intro.out, doc/examples/linalglu.c,
	doc/examples/linalglu.out, doc/examples/matrix.c,
	doc/examples/matrixw.c, doc/examples/min.c, doc/examples/min.out,
	doc/examples/monte.c, doc/examples/nlfit.c, doc/examples/ntupler.c,
	doc/examples/ntuplew.c, doc/examples/ode-initval.c,
	doc/examples/odefixed.c, doc/examples/permseq.c,
	doc/examples/permshuffle.c, doc/examples/polyroots.c,
	doc/examples/polyroots.out, doc/examples/qrng.c,
	doc/examples/randpoisson.2.out, doc/examples/randpoisson.c,
	doc/examples/randpoisson.out, doc/examples/randwalk.c,
	doc/examples/rng.c, doc/examples/rng.out, doc/examples/rngunif.2.out,
	doc/examples/rngunif.c, doc/examples/rngunif.out,
	doc/examples/rootnewt.c, doc/examples/roots.c, doc/examples/siman.c,
	doc/examples/sortsmall.c, doc/examples/sortsmall.out,
	doc/examples/specfun.c, doc/examples/specfun.out,
	doc/examples/specfun_e.c, doc/examples/specfun_e.out,
	doc/examples/stat.c, doc/examples/stat.out, doc/examples/statsort.c,
	doc/examples/statsort.out, doc/examples/sum.c, doc/examples/sum.out,
	doc/examples/vector.c, doc/examples/vectorr.c,
	doc/examples/vectorview.c, doc/examples/vectorview.out,
	doc/examples/vectorw.c, eigen/ChangeLog, eigen/Makefile.am,
	eigen/Makefile.in, eigen/TODO, eigen/francis.c, eigen/gsl_eigen.h,
	eigen/herm.c, eigen/hermv.c, eigen/jacobi.c, eigen/nonsymm.c,
	eigen/nonsymmv.c, eigen/qrstep.c, eigen/schur.c, eigen/schur.h,
	eigen/sort.c, eigen/symm.c, eigen/symmv.c, eigen/test.c,
	err/ChangeLog, err/Makefile.am, err/Makefile.in, err/TODO,
	err/error.c, err/gsl_errno.h, err/gsl_message.h, err/message.c,
	err/stream.c, err/strerror.c, err/test.c, fft/ChangeLog,
	fft/Makefile.am, fft/Makefile.in, fft/TODO, fft/bitreverse.c,
	fft/bitreverse.h, fft/c_init.c, fft/c_main.c, fft/c_pass.h,
	fft/c_pass_2.c, fft/c_pass_3.c, fft/c_pass_4.c, fft/c_pass_5.c,
	fft/c_pass_6.c, fft/c_pass_7.c, fft/c_pass_n.c, fft/c_radix2.c,
	fft/compare.h, fft/compare_source.c, fft/complex_internal.h,
	fft/dft.c, fft/dft_source.c, fft/factorize.c, fft/factorize.h,
	fft/fft.c, fft/gsl_dft_complex.h, fft/gsl_dft_complex_float.h,
	fft/gsl_fft.h, fft/gsl_fft_complex.h, fft/gsl_fft_complex_float.h,
	fft/gsl_fft_halfcomplex.h, fft/gsl_fft_halfcomplex_float.h,
	fft/gsl_fft_real.h, fft/gsl_fft_real_float.h, fft/hc_init.c,
	fft/hc_main.c, fft/hc_pass.h, fft/hc_pass_2.c, fft/hc_pass_3.c,
	fft/hc_pass_4.c, fft/hc_pass_5.c, fft/hc_pass_n.c, fft/hc_radix2.c,
	fft/hc_unpack.c, fft/real_init.c, fft/real_main.c, fft/real_pass.h,
	fft/real_pass_2.c, fft/real_pass_3.c, fft/real_pass_4.c,
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	fft/real_unpack.c, fft/signals.c, fft/signals.h,
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	fft/test_real_source.c, fft/test_trap_source.c, fft/urand.c,
	fit/ChangeLog, fit/Makefile.am, fit/Makefile.in, fit/gsl_fit.h,
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	histogram/TODO, histogram/add.c, histogram/add2d.c,
	histogram/calloc_range.c, histogram/calloc_range2d.c,
	histogram/copy.c, histogram/copy2d.c, histogram/file.c,
	histogram/file2d.c, histogram/find.c, histogram/find2d.c,
	histogram/get.c, histogram/get2d.c, histogram/gsl_histogram.h,
	histogram/gsl_histogram2d.h, histogram/init.c, histogram/init2d.c,
	histogram/maxval.c, histogram/maxval2d.c, histogram/oper.c,
	histogram/oper2d.c, histogram/params.c, histogram/params2d.c,
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	histogram/test.c, histogram/test1d.c, histogram/test1d_resample.c,
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	ieee-utils/Makefile.in, ieee-utils/TODO, ieee-utils/endian.c,
	ieee-utils/env.c, ieee-utils/fp-aix.c, ieee-utils/fp-darwin.c,
	ieee-utils/fp-darwin86.c, ieee-utils/fp-freebsd.c,
	ieee-utils/fp-gnuc99.c, ieee-utils/fp-gnum68k.c,
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	ieee-utils/fp-gnux86.c, ieee-utils/fp-hpux.c, ieee-utils/fp-hpux11.c,
	ieee-utils/fp-irix.c, ieee-utils/fp-netbsd.c,
	ieee-utils/fp-openbsd.c, ieee-utils/fp-os2emx.c,
	ieee-utils/fp-solaris.c, ieee-utils/fp-sunos4.c,
	ieee-utils/fp-tru64.c, ieee-utils/fp-unknown.c, ieee-utils/fp.c,
	ieee-utils/gsl_ieee_utils.h, ieee-utils/make_rep.c,
	ieee-utils/print.c, ieee-utils/read.c, ieee-utils/standardize.c,
	ieee-utils/test.c, integration/ChangeLog, integration/Makefile.am,
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	integration/err.c, integration/gsl_integration.h,
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	integration/qmomof.c, integration/qng.c, integration/qng.h,
	integration/qpsrt.c, integration/qpsrt2.c, integration/reset.c,
	integration/set_initial.c, integration/test.c, integration/tests.c,
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	interpolation/ChangeLog, interpolation/Makefile.am,
	interpolation/Makefile.in, interpolation/TODO, interpolation/accel.c,
	interpolation/akima.c, interpolation/bsearch.c,
	interpolation/bsearch.h, interpolation/cspline.c,
	interpolation/gsl_interp.h, interpolation/gsl_spline.h,
	interpolation/integ_eval.h, interpolation/interp.c,
	interpolation/linear.c, interpolation/poly.c, interpolation/spline.c,
	interpolation/test.c, linalg/ChangeLog, linalg/Makefile.am,
	linalg/Makefile.in, linalg/TODO, linalg/apply_givens.c,
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	linalg/cholesky.c, linalg/exponential.c, linalg/givens.c,
	linalg/gsl_linalg.h, linalg/hermtd.c, linalg/hessenberg.c,
	linalg/hh.c, linalg/householder.c, linalg/householdercomplex.c,
	linalg/lq.c, linalg/lu.c, linalg/luc.c, linalg/multiply.c,
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	matrix/file.c, matrix/file_source.c, matrix/getset.c,
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	matrix/gsl_matrix_char.h, matrix/gsl_matrix_complex_double.h,
	matrix/gsl_matrix_complex_float.h,
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	matrix/oper_source.c, matrix/prop.c, matrix/prop_source.c,
	matrix/rowcol.c, matrix/rowcol_source.c, matrix/submatrix.c,
	matrix/submatrix_source.c, matrix/swap.c, matrix/swap_source.c,
	matrix/test.c, matrix/test_complex_source.c, matrix/test_source.c,
	matrix/test_static.c, matrix/view.c, matrix/view.h,
	matrix/view_source.c, min/ChangeLog, min/Makefile.am,
	min/Makefile.in, min/bracketing.c, min/brent.c, min/convergence.c,
	min/fsolver.c, min/golden.c, min/gsl_min.h, min/min.h, min/test.c,
	min/test.h, min/test_funcs.c, monte/ChangeLog, monte/Makefile.am,
	monte/Makefile.in, monte/README, monte/TODO, monte/gsl_monte.h,
	monte/gsl_monte_miser.h, monte/gsl_monte_plain.h,
	monte/gsl_monte_vegas.h, monte/miser.c, monte/plain.c, monte/test.c,
	monte/test_main.c, monte/vegas.c, multifit/ChangeLog,
	multifit/Makefile.am, multifit/Makefile.in, multifit/TODO,
	multifit/convergence.c, multifit/covar.c, multifit/fdfsolver.c,
	multifit/fsolver.c, multifit/gradient.c, multifit/gsl_multifit.h,
	multifit/gsl_multifit_nlin.h, multifit/lmder.c, multifit/lmiterate.c,
	multifit/lmpar.c, multifit/lmset.c, multifit/lmutil.c,
	multifit/multilinear.c, multifit/qrsolv.c, multifit/test.c,
	multifit/test_brown.c, multifit/test_enso.c,
	multifit/test_estimator.c, multifit/test_filip.c, multifit/test_fn.c,
	multifit/test_hahn1.c, multifit/test_kirby2.c,
	multifit/test_longley.c, multifit/test_nelson.c,
	multifit/test_pontius.c, multifit/work.c, multimin/ChangeLog,
	multimin/Makefile.am, multimin/Makefile.in, multimin/TODO,
	multimin/conjugate_fr.c, multimin/conjugate_pr.c,
	multimin/convergence.c, multimin/diff.c,
	multimin/directional_minimize.c, multimin/fdfminimizer.c,
	multimin/fminimizer.c, multimin/gsl_multimin.h,
	multimin/linear_minimize.c, multimin/linear_wrapper.c,
	multimin/simplex.c, multimin/steepest_descent.c, multimin/test.c,
	multimin/test_funcs.c, multimin/test_funcs.h, multimin/vector_bfgs.c,
	multimin/vector_bfgs2.c, multiroots/ChangeLog,
	multiroots/Makefile.am, multiroots/Makefile.in, multiroots/broyden.c,
	multiroots/convergence.c, multiroots/dnewton.c, multiroots/dogleg.c,
	multiroots/enorm.c, multiroots/fdfsolver.c, multiroots/fdjac.c,
	multiroots/fsolver.c, multiroots/gnewton.c,
	multiroots/gsl_multiroots.h, multiroots/hybrid.c,
	multiroots/hybridj.c, multiroots/newton.c, multiroots/test.c,
	multiroots/test_funcs.c, multiroots/test_funcs.h, ntuple/ChangeLog,
	ntuple/Makefile.am, ntuple/Makefile.in, ntuple/gsl_ntuple.h,
	ntuple/ntuple.c, ntuple/test.c, ode-initval/ChangeLog,
	ode-initval/Makefile.am, ode-initval/Makefile.in, ode-initval/TODO,
	ode-initval/bsimp.c, ode-initval/control.c, ode-initval/cscal.c,
	ode-initval/cstd.c, ode-initval/evolve.c, ode-initval/gear1.c,
	ode-initval/gear2.c, ode-initval/gsl_odeiv.h,
	ode-initval/odeiv_util.h, ode-initval/rk2.c, ode-initval/rk2imp.c,
	ode-initval/rk2simp.c, ode-initval/rk4.c, ode-initval/rk4imp.c,
	ode-initval/rk8pd.c, ode-initval/rkck.c, ode-initval/rkf45.c,
	ode-initval/step.c, ode-initval/test.c, permutation/ChangeLog,
	permutation/Makefile.am, permutation/Makefile.in,
	permutation/canonical.c, permutation/file.c,
	permutation/gsl_permutation.h, permutation/gsl_permute.h,
	permutation/gsl_permute_char.h,
	permutation/gsl_permute_complex_double.h,
	permutation/gsl_permute_complex_float.h,
	permutation/gsl_permute_complex_long_double.h,
	permutation/gsl_permute_double.h, permutation/gsl_permute_float.h,
	permutation/gsl_permute_int.h, permutation/gsl_permute_long.h,
	permutation/gsl_permute_long_double.h,
	permutation/gsl_permute_short.h, permutation/gsl_permute_uchar.h,
	permutation/gsl_permute_uint.h, permutation/gsl_permute_ulong.h,
	permutation/gsl_permute_ushort.h, permutation/gsl_permute_vector.h,
	permutation/gsl_permute_vector_char.h,
	permutation/gsl_permute_vector_complex_double.h,
	permutation/gsl_permute_vector_complex_float.h,
	permutation/gsl_permute_vector_complex_long_double.h,
	permutation/gsl_permute_vector_double.h,
	permutation/gsl_permute_vector_float.h,
	permutation/gsl_permute_vector_int.h,
	permutation/gsl_permute_vector_long.h,
	permutation/gsl_permute_vector_long_double.h,
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	permutation/gsl_permute_vector_uint.h,
	permutation/gsl_permute_vector_ulong.h,
	permutation/gsl_permute_vector_ushort.h, permutation/init.c,
	permutation/permutation.c, permutation/permute.c,
	permutation/permute_source.c, permutation/test.c, poly/ChangeLog,
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	poly/companion.c, poly/dd.c, poly/eval.c, poly/gsl_poly.h, poly/qr.c,
	poly/solve_cubic.c, poly/solve_quadratic.c, poly/test.c,
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	qrng/qrng.c, qrng/sobol.c, qrng/test.c, randist/ChangeLog,
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	randist/bernoulli.c, randist/beta.c, randist/bigauss.c,
	randist/binomial.c, randist/binomial_tpe.c, randist/cauchy.c,
	randist/chisq.c, randist/dirichlet.c, randist/discrete.c,
	randist/erlang.c, randist/exponential.c, randist/exppow.c,
	randist/fdist.c, randist/flat.c, randist/gamma.c, randist/gauss.c,
	randist/gausstail.c, randist/gausszig.c, randist/geometric.c,
	randist/gsl_randist.h, randist/gumbel.c, randist/hyperg.c,
	randist/landau.c, randist/laplace.c, randist/levy.c,
	randist/logarithmic.c, randist/logistic.c, randist/lognormal.c,
	randist/multinomial.c, randist/nbinomial.c, randist/pareto.c,
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	rng/file.c, rng/fishman18.c, rng/fishman20.c, rng/fishman2x.c,
	rng/gfsr4.c, rng/gsl_rng.h, rng/knuthran.c, rng/knuthran2.c,
	rng/knuthran2002.c, rng/lecuyer21.c, rng/minstd.c, rng/mrg.c,
	rng/mt.c, rng/r250.c, rng/ran0.c, rng/ran1.c, rng/ran2.c, rng/ran3.c,
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	rng/ranlux.c, rng/ranlxd.c, rng/ranlxs.c, rng/ranmar.c, rng/rng.c,
	rng/schrage.c, rng/slatec.c, rng/taus.c, rng/taus113.c, rng/test.c,
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	roots/brent.c, roots/convergence.c, roots/falsepos.c,
	roots/fdfsolver.c, roots/fsolver.c, roots/gsl_roots.h,
	roots/newton.c, roots/roots.h, roots/secant.c, roots/steffenson.c,
	roots/test.c, roots/test.h, roots/test_funcs.c, siman/ChangeLog,
	siman/Makefile.am, siman/Makefile.in, siman/TODO, siman/gsl_siman.h,
	siman/siman.c, siman/siman_test_driver.sh, siman/siman_tsp.c,
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	sort/gsl_sort_uchar.h, sort/gsl_sort_uint.h, sort/gsl_sort_ulong.h,
	sort/gsl_sort_ushort.h, sort/gsl_sort_vector.h,
	sort/gsl_sort_vector_char.h, sort/gsl_sort_vector_double.h,
	sort/gsl_sort_vector_float.h, sort/gsl_sort_vector_int.h,
	sort/gsl_sort_vector_long.h, sort/gsl_sort_vector_long_double.h,
	sort/gsl_sort_vector_short.h, sort/gsl_sort_vector_uchar.h,
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	sort/sortvec.c, sort/sortvec_source.c, sort/sortvecind.c,
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	sort/subsetind.c, sort/subsetind_source.c, sort/test.c,
	sort/test_heapsort.c, sort/test_source.c, specfunc/ChangeLog,
	specfunc/Makefile.am, specfunc/Makefile.in, specfunc/TODO,
	specfunc/airy.c, specfunc/airy_der.c, specfunc/airy_zero.c,
	specfunc/atanint.c, specfunc/bessel.c, specfunc/bessel.h,
	specfunc/bessel_I0.c, specfunc/bessel_I1.c, specfunc/bessel_In.c,
	specfunc/bessel_Inu.c, specfunc/bessel_J0.c, specfunc/bessel_J1.c,
	specfunc/bessel_Jn.c, specfunc/bessel_Jnu.c, specfunc/bessel_K0.c,
	specfunc/bessel_K1.c, specfunc/bessel_Kn.c, specfunc/bessel_Knu.c,
	specfunc/bessel_Y0.c, specfunc/bessel_Y1.c, specfunc/bessel_Yn.c,
	specfunc/bessel_Ynu.c, specfunc/bessel_amp_phase.c,
	specfunc/bessel_amp_phase.h, specfunc/bessel_i.c,
	specfunc/bessel_j.c, specfunc/bessel_k.c, specfunc/bessel_olver.c,
	specfunc/bessel_olver.h, specfunc/bessel_sequence.c,
	specfunc/bessel_temme.c, specfunc/bessel_temme.h,
	specfunc/bessel_y.c, specfunc/bessel_zero.c, specfunc/beta.c,
	specfunc/beta_inc.c, specfunc/cheb_eval.c, specfunc/cheb_eval_mode.c,
	specfunc/chebyshev.h, specfunc/check.h, specfunc/clausen.c,
	specfunc/coulomb.c, specfunc/coulomb_bound.c, specfunc/coupling.c,
	specfunc/dawson.c, specfunc/debye.c, specfunc/dilog.c,
	specfunc/elementary.c, specfunc/ellint.c, specfunc/elljac.c,
	specfunc/erfc.c, specfunc/error.h, specfunc/eval.h, specfunc/exp.c,
	specfunc/expint.c, specfunc/expint3.c, specfunc/fermi_dirac.c,
	specfunc/gamma.c, specfunc/gamma_inc.c, specfunc/gegenbauer.c,
	specfunc/gsl_sf.h, specfunc/gsl_sf_airy.h, specfunc/gsl_sf_bessel.h,
	specfunc/gsl_sf_clausen.h, specfunc/gsl_sf_coulomb.h,
	specfunc/gsl_sf_coupling.h, specfunc/gsl_sf_dawson.h,
	specfunc/gsl_sf_debye.h, specfunc/gsl_sf_dilog.h,
	specfunc/gsl_sf_elementary.h, specfunc/gsl_sf_ellint.h,
	specfunc/gsl_sf_elljac.h, specfunc/gsl_sf_erf.h,
	specfunc/gsl_sf_exp.h, specfunc/gsl_sf_expint.h,
	specfunc/gsl_sf_fermi_dirac.h, specfunc/gsl_sf_gamma.h,
	specfunc/gsl_sf_gegenbauer.h, specfunc/gsl_sf_hyperg.h,
	specfunc/gsl_sf_laguerre.h, specfunc/gsl_sf_lambert.h,
	specfunc/gsl_sf_legendre.h, specfunc/gsl_sf_log.h,
	specfunc/gsl_sf_mathieu.h, specfunc/gsl_sf_pow_int.h,
	specfunc/gsl_sf_psi.h, specfunc/gsl_sf_result.h,
	specfunc/gsl_sf_synchrotron.h, specfunc/gsl_sf_transport.h,
	specfunc/gsl_sf_trig.h, specfunc/gsl_sf_zeta.h,
	specfunc/gsl_specfunc.h, specfunc/hyperg.c, specfunc/hyperg.h,
	specfunc/hyperg_0F1.c, specfunc/hyperg_1F1.c, specfunc/hyperg_2F0.c,
	specfunc/hyperg_2F1.c, specfunc/hyperg_U.c, specfunc/laguerre.c,
	specfunc/lambert.c, specfunc/legendre.h, specfunc/legendre_H3d.c,
	specfunc/legendre_Qn.c, specfunc/legendre_con.c,
	specfunc/legendre_poly.c, specfunc/log.c, specfunc/mathieu_angfunc.c,
	specfunc/mathieu_charv.c, specfunc/mathieu_coeff.c,
	specfunc/mathieu_radfunc.c, specfunc/mathieu_workspace.c,
	specfunc/poch.c, specfunc/pow_int.c, specfunc/psi.c,
	specfunc/recurse.h, specfunc/result.c, specfunc/shint.c,
	specfunc/sinint.c, specfunc/synchrotron.c, specfunc/test_airy.c,
	specfunc/test_bessel.c, specfunc/test_coulomb.c,
	specfunc/test_dilog.c, specfunc/test_gamma.c, specfunc/test_hyperg.c,
	specfunc/test_legendre.c, specfunc/test_mathieu.c,
	specfunc/test_sf.c, specfunc/test_sf.h, specfunc/transport.c,
	specfunc/trig.c, specfunc/zeta.c, statistics/ChangeLog,
	statistics/Makefile.am, statistics/Makefile.in, statistics/TODO,
	statistics/absdev.c, statistics/absdev_source.c,
	statistics/covariance.c, statistics/covariance_source.c,
	statistics/gsl_statistics.h, statistics/gsl_statistics_char.h,
	statistics/gsl_statistics_double.h,
	statistics/gsl_statistics_float.h, statistics/gsl_statistics_int.h,
	statistics/gsl_statistics_long.h,
	statistics/gsl_statistics_long_double.h,
	statistics/gsl_statistics_short.h, statistics/gsl_statistics_uchar.h,
	statistics/gsl_statistics_uint.h, statistics/gsl_statistics_ulong.h,
	statistics/gsl_statistics_ushort.h, statistics/kurtosis.c,
	statistics/kurtosis_source.c, statistics/lag1.c,
	statistics/lag1_source.c, statistics/mean.c,
	statistics/mean_source.c, statistics/median.c,
	statistics/median_source.c, statistics/minmax.c,
	statistics/minmax_source.c, statistics/p_variance.c,
	statistics/p_variance_source.c, statistics/quantiles.c,
	statistics/quantiles_source.c, statistics/skew.c,
	statistics/skew_source.c, statistics/test.c,
	statistics/test_float_source.c, statistics/test_int_source.c,
	statistics/test_nist.c, statistics/ttest.c,
	statistics/ttest_source.c, statistics/variance.c,
	statistics/variance_source.c, statistics/wabsdev.c,
	statistics/wabsdev_source.c, statistics/wkurtosis.c,
	statistics/wkurtosis_source.c, statistics/wmean.c,
	statistics/wmean_source.c, statistics/wskew.c,
	statistics/wskew_source.c, statistics/wvariance.c,
	statistics/wvariance_source.c, sum/ChangeLog, sum/Makefile.am,
	sum/Makefile.in, sum/gsl_sum.h, sum/levin_u.c, sum/levin_utrunc.c,
	sum/test.c, sum/work_u.c, sum/work_utrunc.c, sys/ChangeLog,
	sys/Makefile.am, sys/Makefile.in, sys/coerce.c, sys/expm1.c,
	sys/fcmp.c, sys/fdiv.c, sys/gsl_sys.h, sys/hypot.c, sys/infnan.c,
	sys/invhyp.c, sys/ldfrexp.c, sys/log1p.c, sys/minmax.c,
	sys/pow_int.c, sys/prec.c, sys/test.c, test/ChangeLog,
	test/Makefile.am, test/Makefile.in, test/gsl_test.h, test/results.c,
	utils/Makefile.am, utils/Makefile.in, utils/README, utils/memcpy.c,
	utils/memmove.c, utils/placeholder.c, utils/strdup.c, utils/strtol.c,
	utils/strtoul.c, utils/system.h, vector/ChangeLog,
	vector/Makefile.am, vector/Makefile.in, vector/TODO, vector/copy.c,
	vector/copy_source.c, vector/file.c, vector/file_source.c,
	vector/gsl_vector.h, vector/gsl_vector_char.h,
	vector/gsl_vector_complex.h, vector/gsl_vector_complex_double.h,
	vector/gsl_vector_complex_float.h,
	vector/gsl_vector_complex_long_double.h, vector/gsl_vector_double.h,
	vector/gsl_vector_float.h, vector/gsl_vector_int.h,
	vector/gsl_vector_long.h, vector/gsl_vector_long_double.h,
	vector/gsl_vector_short.h, vector/gsl_vector_uchar.h,
	vector/gsl_vector_uint.h, vector/gsl_vector_ulong.h,
	vector/gsl_vector_ushort.h, vector/init.c, vector/init_source.c,
	vector/minmax.c, vector/minmax_source.c, vector/oper.c,
	vector/oper_source.c, vector/prop.c, vector/prop_source.c,
	vector/reim.c, vector/reim_source.c, vector/subvector.c,
	vector/subvector_source.c, vector/swap.c, vector/swap_source.c,
	vector/test.c, vector/test_complex_source.c, vector/test_source.c,
	vector/test_static.c, vector/vector.c, vector/vector_source.c,
	vector/view.c, vector/view.h, vector/view_source.c,
	wavelet/ChangeLog, wavelet/Makefile.am, wavelet/Makefile.in,
	wavelet/TODO, wavelet/bspline.c, wavelet/daubechies.c, wavelet/dwt.c,
	wavelet/gsl_wavelet.h, wavelet/gsl_wavelet2d.h, wavelet/haar.c,
	wavelet/test.c, wavelet/wavelet.c: New files.

1 files changed, 1373 insertions, 0 deletions

diff --git a/gsl-1.9/specfunc/legendre_con.c b/gsl-1.9/specfunc/legendre_con.c
new file mode 100644
index 0000000..6d60550
--- /dev/null
+++ b/gsl-1.9/specfunc/legendre_con.c
@@ -0,0 +1,1373 @@
+/* specfunc/legendre_con.c
+ * 
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
+ * 
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or (at
+ * your option) any later version.
+ * 
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+ * General Public License for more details.
+ * 
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+/* Author:  G. Jungman */
+
+#include <config.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_poly.h>
+#include <gsl/gsl_sf_exp.h>
+#include <gsl/gsl_sf_trig.h>
+#include <gsl/gsl_sf_gamma.h>
+#include <gsl/gsl_sf_ellint.h>
+#include <gsl/gsl_sf_pow_int.h>
+#include <gsl/gsl_sf_bessel.h>
+#include <gsl/gsl_sf_hyperg.h>
+#include <gsl/gsl_sf_legendre.h>
+
+#include "error.h"
+#include "legendre.h"
+
+#define Root_2OverPi_  0.797884560802865355879892
+#define locEPS         (1000.0*GSL_DBL_EPSILON)
+
+
+/*-*-*-*-*-*-*-*-*-*-*-* Private Section *-*-*-*-*-*-*-*-*-*-*-*/
+
+
+#define RECURSE_LARGE  (1.0e-5*GSL_DBL_MAX)
+#define RECURSE_SMALL  (1.0e+5*GSL_DBL_MIN)
+
+
+/* Continued fraction for f_{ell+1}/f_ell
+ * f_ell := P^{-mu-ell}_{-1/2 + I tau}(x),  x < 1.0
+ *
+ * Uses standard CF method from Temme's book.
+ */
+static
+int
+conicalP_negmu_xlt1_CF1(const double mu, const int ell, const double tau,
+                        const double x, gsl_sf_result * result)
+{
+  const double RECUR_BIG = GSL_SQRT_DBL_MAX;
+  const int maxiter = 5000;
+  int n = 1;
+  double xi = x/(sqrt(1.0-x)*sqrt(1.0+x));
+  double Anm2 = 1.0;
+  double Bnm2 = 0.0;
+  double Anm1 = 0.0;
+  double Bnm1 = 1.0;
+  double a1 = 1.0;
+  double b1 = 2.0*(mu + ell + 1.0) * xi;
+  double An = b1*Anm1 + a1*Anm2;
+  double Bn = b1*Bnm1 + a1*Bnm2;
+  double an, bn;
+  double fn = An/Bn;
+
+  while(n < maxiter) {
+    double old_fn;
+    double del;
+    n++;
+    Anm2 = Anm1;
+    Bnm2 = Bnm1;
+    Anm1 = An;
+    Bnm1 = Bn;
+    an = tau*tau + (mu - 0.5 + ell + n)*(mu - 0.5 + ell + n);
+    bn = 2.0*(ell + mu + n) * xi;
+    An = bn*Anm1 + an*Anm2;
+    Bn = bn*Bnm1 + an*Bnm2;
+
+    if(fabs(An) > RECUR_BIG || fabs(Bn) > RECUR_BIG) {
+      An /= RECUR_BIG;
+      Bn /= RECUR_BIG;
+      Anm1 /= RECUR_BIG;
+      Bnm1 /= RECUR_BIG;
+      Anm2 /= RECUR_BIG;
+      Bnm2 /= RECUR_BIG;
+    }
+
+    old_fn = fn;
+    fn = An/Bn;
+    del = old_fn/fn;
+    
+    if(fabs(del - 1.0) < 2.0*GSL_DBL_EPSILON) break;
+  }
+
+  result->val = fn;
+  result->err = 4.0 * GSL_DBL_EPSILON * (sqrt(n) + 1.0) * fabs(fn);
+
+  if(n >= maxiter)
+    GSL_ERROR ("error", GSL_EMAXITER);
+  else
+    return GSL_SUCCESS;
+}
+
+
+/* Continued fraction for f_{ell+1}/f_ell
+ * f_ell := P^{-mu-ell}_{-1/2 + I tau}(x),  x >= 1.0
+ *
+ * Uses Gautschi (Euler) equivalent series.
+ */
+static
+int
+conicalP_negmu_xgt1_CF1(const double mu, const int ell, const double tau,
+                        const double x, gsl_sf_result * result)
+{ 
+  const int maxk = 20000;
+  const double gamma = 1.0-1.0/(x*x);
+  const double pre = sqrt(x-1.0)*sqrt(x+1.0) / (x*(2.0*(ell+mu+1.0)));
+  double tk   = 1.0;
+  double sum  = 1.0;
+  double rhok = 0.0;
+  int k;
+ 
+  for(k=1; k<maxk; k++) {
+    double tlk = 2.0*(ell + mu + k);
+    double l1k = (ell + mu - 0.5 + 1.0 + k);
+    double ak = -(tau*tau + l1k*l1k)/(tlk*(tlk+2.0)) * gamma;
+    rhok = -ak*(1.0 + rhok)/(1.0 + ak*(1.0 + rhok));
+    tk  *= rhok;
+    sum += tk;
+    if(fabs(tk/sum) < GSL_DBL_EPSILON) break;
+  }
+
+  result->val  = pre * sum;
+  result->err  = fabs(pre * tk);
+  result->err += 2.0 * GSL_DBL_EPSILON * (sqrt(k) + 1.0) * fabs(pre*sum);
+
+  if(k >= maxk)
+    GSL_ERROR ("error", GSL_EMAXITER);
+  else
+    return GSL_SUCCESS;
+}
+
+
+/* Implementation of large negative mu asymptotic
+ * [Dunster, Proc. Roy. Soc. Edinburgh 119A, 311 (1991), p. 326]
+ */
+
+inline
+static double olver_U1(double beta2, double p)
+{
+  return (p-1.0)/(24.0*(1.0+beta2)) * (3.0 + beta2*(2.0 + 5.0*p*(1.0+p)));
+}
+
+inline
+static double olver_U2(double beta2, double p)
+{
+  double beta4 = beta2*beta2;
+  double p2    = p*p;
+  double poly1 =  4.0*beta4 + 84.0*beta2 - 63.0;
+  double poly2 = 16.0*beta4 + 90.0*beta2 - 81.0;
+  double poly3 = beta2*p2*(97.0*beta2 - 432.0 + 77.0*p*(beta2-6.0) - 385.0*beta2*p2*(1.0 + p));
+  return (1.0-p)/(1152.0*(1.0+beta2)) * (poly1 + poly2 + poly3);
+}
+
+static const double U3c1[] = {   -1307.0,   -1647.0,    3375.0,    3675.0 };
+static const double U3c2[] = {   29366.0,   35835.0, -252360.0, -272630.0,
+                                276810.0,  290499.0 };
+static const double U3c3[] = {  -29748.0,   -8840.0, 1725295.0, 1767025.0,
+                              -7313470.0, -754778.0, 6309875.0, 6480045.0 };
+static const double U3c4[] = {    2696.0,    -16740.0,   -524250.0,  -183975.0,
+                              14670540.0,  14172939.0, -48206730.0, -48461985.0,
+                              36756720.0,  37182145.0 };
+static const double U3c5[] = {       9136.0,      22480.0,     12760.0,
+                                  -252480.0,   -4662165.0,   -1705341.0,
+                                 92370135.0,   86244015.0, -263678415.0,
+                               -260275015.0, 185910725.0,  185910725.0 };
+
+#if 0
+static double olver_U3(double beta2, double p)
+{
+  double beta4 = beta2*beta2;
+  double beta6 = beta4*beta2;
+  double opb2s = (1.0+beta2)*(1.0+beta2);
+  double den   = 39813120.0 * opb2s*opb2s;
+  double poly1 = gsl_poly_eval(U3c1, 4, p);
+  double poly2 = gsl_poly_eval(U3c2, 6, p);
+  double poly3 = gsl_poly_eval(U3c3, 8, p);
+  double poly4 = gsl_poly_eval(U3c4, 10, p);
+  double poly5 = gsl_poly_eval(U3c5, 12, p);
+  
+  return (p-1.0)*(     1215.0*poly1 + 324.0*beta2*poly2
+                 + 54.0*beta4*poly3 +  12.0*beta6*poly4
+                 + beta4*beta4*poly5
+                 ) / den;
+}
+#endif /* 0 */
+
+
+/* Large negative mu asymptotic
+ * P^{-mu}_{-1/2 + I tau}, mu -> Inf
+ * |x| < 1
+ *
+ * [Dunster, Proc. Roy. Soc. Edinburgh 119A, 311 (1991), p. 326]
+ */
+int
+gsl_sf_conicalP_xlt1_large_neg_mu_e(double mu, double tau, double x,
+                                       gsl_sf_result * result, double * ln_multiplier)
+{
+  double beta  = tau/mu;
+  double beta2 = beta*beta;
+  double S     = beta * acos((1.0-beta2)/(1.0+beta2));
+  double p     = x/sqrt(beta2*(1.0-x*x) + 1.0);
+  gsl_sf_result lg_mup1;
+  int lg_stat = gsl_sf_lngamma_e(mu+1.0, &lg_mup1);
+  double ln_pre_1 =  0.5*mu*(S - log(1.0+beta2) + log((1.0-p)/(1.0+p))) - lg_mup1.val;
+  double ln_pre_2 = -0.25 * log(1.0 + beta2*(1.0-x));
+  double ln_pre_3 = -tau * atan(p*beta);
+  double ln_pre = ln_pre_1 + ln_pre_2 + ln_pre_3;
+  double sum   = 1.0 - olver_U1(beta2, p)/mu + olver_U2(beta2, p)/(mu*mu);
+
+  if(sum == 0.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    *ln_multiplier = 0.0;
+    return GSL_SUCCESS;
+  }
+  else {
+    int stat_e = gsl_sf_exp_mult_e(ln_pre, sum, result);
+    if(stat_e != GSL_SUCCESS) {
+      result->val = sum;
+      result->err = 2.0 * GSL_DBL_EPSILON * fabs(sum);
+      *ln_multiplier = ln_pre;
+    }
+    else {
+      *ln_multiplier = 0.0;
+    }
+    return lg_stat;
+  }
+}
+
+
+/* Implementation of large tau asymptotic
+ *
+ * A_n^{-mu}, B_n^{-mu}  [Olver, p.465, 469]
+ */
+
+inline
+static double olver_B0_xi(double mu, double xi)
+{
+  return (1.0 - 4.0*mu*mu)/(8.0*xi) * (1.0/tanh(xi) - 1.0/xi);
+}
+
+static double olver_A1_xi(double mu, double xi, double x)
+{
+  double B = olver_B0_xi(mu, xi);
+  double psi;
+  if(fabs(x - 1.0) < GSL_ROOT4_DBL_EPSILON) {
+    double y = x - 1.0;
+    double s = -1.0/3.0 + y*(2.0/15.0 - y *(61.0/945.0 - 452.0/14175.0*y));
+    psi = (4.0*mu*mu - 1.0)/16.0 * s;
+  }
+  else {
+    psi = (4.0*mu*mu - 1.0)/16.0 * (1.0/(x*x-1.0) - 1.0/(xi*xi));
+  }
+  return 0.5*xi*xi*B*B + (mu+0.5)*B - psi + mu/6.0*(0.25 - mu*mu);
+}
+
+inline
+static double olver_B0_th(double mu, double theta)
+{
+  return -(1.0 - 4.0*mu*mu)/(8.0*theta) * (1.0/tan(theta) - 1.0/theta);
+}
+
+static double olver_A1_th(double mu, double theta, double x)
+{
+  double B = olver_B0_th(mu, theta);
+  double psi;
+  if(fabs(x - 1.0) < GSL_ROOT4_DBL_EPSILON) {
+    double y = 1.0 - x;
+    double s = -1.0/3.0 + y*(2.0/15.0 - y *(61.0/945.0 - 452.0/14175.0*y));
+    psi = (4.0*mu*mu - 1.0)/16.0 * s;
+  }
+  else {
+    psi = (4.0*mu*mu - 1.0)/16.0 * (1.0/(x*x-1.0) + 1.0/(theta*theta));
+  }
+  return -0.5*theta*theta*B*B + (mu+0.5)*B - psi + mu/6.0*(0.25 - mu*mu);
+}
+
+
+/* Large tau uniform asymptotics
+ * P^{-mu}_{-1/2 + I tau}
+ * 1 < x
+ * tau -> Inf 
+ * [Olver, p. 469]
+ */
+int
+gsl_sf_conicalP_xgt1_neg_mu_largetau_e(const double mu, const double tau,
+                                          const double x, double acosh_x,
+                                          gsl_sf_result * result, double * ln_multiplier)
+{
+  double xi = acosh_x;
+  double ln_xi_pre;
+  double ln_pre;
+  double sumA, sumB, sum;
+  double arg;
+  gsl_sf_result J_mup1;
+  gsl_sf_result J_mu;
+  double J_mum1;
+
+  if(xi < GSL_ROOT4_DBL_EPSILON) {
+    ln_xi_pre = -xi*xi/6.0;           /* log(1.0 - xi*xi/6.0) */
+  }
+  else {
+    gsl_sf_result lnshxi;
+    gsl_sf_lnsinh_e(xi, &lnshxi);
+    ln_xi_pre = log(xi) - lnshxi.val;     /* log(xi/sinh(xi) */
+  }
+
+  ln_pre = 0.5*ln_xi_pre - mu*log(tau);
+
+  arg = tau*xi;
+
+  gsl_sf_bessel_Jnu_e(mu + 1.0,   arg, &J_mup1);
+  gsl_sf_bessel_Jnu_e(mu,         arg, &J_mu);
+  J_mum1 = -J_mup1.val + 2.0*mu/arg*J_mu.val;      /* careful of mu < 1 */
+
+  sumA = 1.0 - olver_A1_xi(-mu, xi, x)/(tau*tau);
+  sumB = olver_B0_xi(-mu, xi);
+  sum  = J_mu.val * sumA - xi/tau * J_mum1 * sumB;
+
+  if(sum == 0.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    *ln_multiplier = 0.0;
+    return GSL_SUCCESS;
+  }
+  else {
+    int stat_e = gsl_sf_exp_mult_e(ln_pre, sum, result);
+    if(stat_e != GSL_SUCCESS) {
+      result->val = sum;
+      result->err = 2.0 * GSL_DBL_EPSILON * fabs(sum);
+      *ln_multiplier = ln_pre;
+    }
+    else {
+      *ln_multiplier = 0.0;
+    }
+    return GSL_SUCCESS;
+  }
+}
+
+
+/* Large tau uniform asymptotics
+ * P^{-mu}_{-1/2 + I tau}
+ * -1 < x < 1
+ * tau -> Inf 
+ * [Olver, p. 473]
+ */
+int
+gsl_sf_conicalP_xlt1_neg_mu_largetau_e(const double mu, const double tau,
+                                          const double x, const double acos_x,
+                                          gsl_sf_result * result, double * ln_multiplier)
+{
+  double theta = acos_x;
+  double ln_th_pre;
+  double ln_pre;
+  double sumA, sumB, sum, sumerr;
+  double arg;
+  gsl_sf_result I_mup1, I_mu;
+  double I_mum1;
+
+  if(theta < GSL_ROOT4_DBL_EPSILON) {
+    ln_th_pre = theta*theta/6.0;   /* log(1.0 + theta*theta/6.0) */
+  }
+  else {
+    ln_th_pre = log(theta/sin(theta));
+  }
+
+  ln_pre = 0.5 * ln_th_pre - mu * log(tau);
+
+  arg = tau*theta;
+  gsl_sf_bessel_Inu_e(mu + 1.0,   arg, &I_mup1);
+  gsl_sf_bessel_Inu_e(mu,         arg, &I_mu);
+  I_mum1 = I_mup1.val + 2.0*mu/arg * I_mu.val; /* careful of mu < 1 */
+
+  sumA = 1.0 - olver_A1_th(-mu, theta, x)/(tau*tau);
+  sumB = olver_B0_th(-mu, theta);
+  sum  = I_mu.val * sumA - theta/tau * I_mum1 * sumB;
+  sumerr  = fabs(I_mu.err * sumA);
+  sumerr += fabs(I_mup1.err * theta/tau * sumB);
+  sumerr += fabs(I_mu.err   * theta/tau * sumB * 2.0 * mu/arg);
+
+  if(sum == 0.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    *ln_multiplier = 0.0;
+    return GSL_SUCCESS;
+  }
+  else {
+    int stat_e = gsl_sf_exp_mult_e(ln_pre, sum, result);
+    if(stat_e != GSL_SUCCESS) {
+      result->val  = sum;
+      result->err  = sumerr;
+      result->err += GSL_DBL_EPSILON * fabs(sum);
+      *ln_multiplier = ln_pre;
+    }
+    else {
+      *ln_multiplier = 0.0;
+    }
+    return GSL_SUCCESS;
+  }
+}
+
+
+/* Hypergeometric function which appears in the
+ * large x expansion below:
+ *
+ *   2F1(1/4 - mu/2 - I tau/2, 3/4 - mu/2 - I tau/2, 1 - I tau, y)
+ *
+ * Note that for the usage below y = 1/x^2;
+ */
+static
+int
+conicalP_hyperg_large_x(const double mu, const double tau, const double y,
+                        double * reF, double * imF)
+{
+  const int kmax = 1000;
+  const double re_a = 0.25 - 0.5*mu;
+  const double re_b = 0.75 - 0.5*mu;
+  const double re_c = 1.0;
+  const double im_a = -0.5*tau;
+  const double im_b = -0.5*tau;
+  const double im_c = -tau;
+
+  double re_sum = 1.0;
+  double im_sum = 0.0;
+  double re_term = 1.0;
+  double im_term = 0.0;
+  int k;
+
+  for(k=1; k<=kmax; k++) {
+    double re_ak = re_a + k - 1.0;
+    double re_bk = re_b + k - 1.0;
+    double re_ck = re_c + k - 1.0;
+    double im_ak = im_a;
+    double im_bk = im_b;
+    double im_ck = im_c;
+    double den = re_ck*re_ck + im_ck*im_ck;
+    double re_multiplier = ((re_ak*re_bk - im_ak*im_bk)*re_ck + im_ck*(im_ak*re_bk + re_ak*im_bk)) / den;
+    double im_multiplier = ((im_ak*re_bk + re_ak*im_bk)*re_ck - im_ck*(re_ak*re_bk - im_ak*im_bk)) / den;
+    double re_tmp = re_multiplier*re_term - im_multiplier*im_term;
+    double im_tmp = im_multiplier*re_term + re_multiplier*im_term;
+    double asum = fabs(re_sum) + fabs(im_sum);
+    re_term = y/k * re_tmp;
+    im_term = y/k * im_tmp;
+    if(fabs(re_term/asum) < GSL_DBL_EPSILON && fabs(im_term/asum) < GSL_DBL_EPSILON) break;
+    re_sum += re_term;
+    im_sum += im_term;
+  }
+
+  *reF = re_sum;
+  *imF = im_sum;
+
+  if(k == kmax)
+    GSL_ERROR ("error", GSL_EMAXITER);
+  else  
+    return GSL_SUCCESS;
+}
+
+
+/* P^{mu}_{-1/2 + I tau}
+ * x->Inf
+ */
+int
+gsl_sf_conicalP_large_x_e(const double mu, const double tau, const double x,
+                             gsl_sf_result * result, double * ln_multiplier)
+{
+  /* 2F1 term
+   */
+  double y = ( x < 0.5*GSL_SQRT_DBL_MAX ? 1.0/(x*x) : 0.0 );
+  double reF, imF;
+  int stat_F = conicalP_hyperg_large_x(mu, tau, y, &reF, &imF);
+
+  /* f = Gamma(+i tau)/Gamma(1/2 - mu + i tau)
+   * FIXME: shift so it's better for tau-> 0
+   */
+  gsl_sf_result lgr_num, lgth_num;
+  gsl_sf_result lgr_den, lgth_den;
+  int stat_gn = gsl_sf_lngamma_complex_e(0.0,tau,&lgr_num,&lgth_num);
+  int stat_gd = gsl_sf_lngamma_complex_e(0.5-mu,tau,&lgr_den,&lgth_den);
+
+  double angle = lgth_num.val - lgth_den.val + atan2(imF,reF);
+
+  double lnx   = log(x);
+  double lnxp1 = log(x+1.0);
+  double lnxm1 = log(x-1.0);
+  double lnpre_const = 0.5*M_LN2 - 0.5*M_LNPI;
+  double lnpre_comm = (mu-0.5)*lnx - 0.5*mu*(lnxp1 + lnxm1);
+  double lnpre_err  =   GSL_DBL_EPSILON * (0.5*M_LN2 + 0.5*M_LNPI)
+                      + GSL_DBL_EPSILON * fabs((mu-0.5)*lnx)
+                      + GSL_DBL_EPSILON * fabs(0.5*mu)*(fabs(lnxp1)+fabs(lnxm1));
+
+  /*  result = pre*|F|*|f| * cos(angle - tau * (log(x)+M_LN2))
+   */
+  gsl_sf_result cos_result;
+  int stat_cos = gsl_sf_cos_e(angle + tau*(log(x) + M_LN2), &cos_result);
+  int status = GSL_ERROR_SELECT_4(stat_cos, stat_gd, stat_gn, stat_F);
+  if(cos_result.val == 0.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    return status;
+  }
+  else {
+    double lnFf_val = 0.5*log(reF*reF+imF*imF) + lgr_num.val - lgr_den.val;
+    double lnFf_err = lgr_num.err + lgr_den.err + GSL_DBL_EPSILON * fabs(lnFf_val);
+    double lnnoc_val = lnpre_const + lnpre_comm + lnFf_val;
+    double lnnoc_err = lnpre_err + lnFf_err + GSL_DBL_EPSILON * fabs(lnnoc_val);
+    int stat_e = gsl_sf_exp_mult_err_e(lnnoc_val, lnnoc_err,
+                                          cos_result.val, cos_result.err,
+                                          result);
+    if(stat_e == GSL_SUCCESS) {
+      *ln_multiplier = 0.0;
+    }
+    else {
+      result->val  = cos_result.val;
+      result->err  = cos_result.err;
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+      *ln_multiplier = lnnoc_val;
+    }
+    return status;
+  }
+}
+
+
+/* P^{mu}_{-1/2 + I tau}  first hypergeometric representation
+ * -1 < x < 1
+ * This is more effective for |x| small, however it will work w/o
+ * reservation for any x < 0 because everything is positive
+ * definite in that case.
+ *
+ * [Kolbig,   (3)] (note typo in args of gamma functions)
+ * [Bateman, (22)] (correct form)
+ */
+static
+int
+conicalP_xlt1_hyperg_A(double mu, double tau, double x, gsl_sf_result * result)
+{
+  double x2 = x*x;
+  double err_amp = 1.0 + 1.0/(GSL_DBL_EPSILON + fabs(1.0-fabs(x)));
+  double pre_val = M_SQRTPI / pow(0.5*sqrt(1-x2), mu);
+  double pre_err = err_amp * GSL_DBL_EPSILON * (fabs(mu)+1.0) * fabs(pre_val) ;
+  gsl_sf_result ln_g1, ln_g2, arg_g1, arg_g2;
+  gsl_sf_result F1, F2;
+  gsl_sf_result pre1, pre2;
+  double t1_val, t1_err;
+  double t2_val, t2_err;
+
+  int stat_F1 = gsl_sf_hyperg_2F1_conj_e(0.25 - 0.5*mu, 0.5*tau, 0.5, x2, &F1);
+  int stat_F2 = gsl_sf_hyperg_2F1_conj_e(0.75 - 0.5*mu, 0.5*tau, 1.5, x2, &F2);
+  int status = GSL_ERROR_SELECT_2(stat_F1, stat_F2);
+
+  gsl_sf_lngamma_complex_e(0.75 - 0.5*mu, -0.5*tau, &ln_g1, &arg_g1);
+  gsl_sf_lngamma_complex_e(0.25 - 0.5*mu, -0.5*tau, &ln_g2, &arg_g2);
+
+  gsl_sf_exp_err_e(-2.0*ln_g1.val, 2.0*ln_g1.err, &pre1);
+  gsl_sf_exp_err_e(-2.0*ln_g2.val, 2.0*ln_g2.err, &pre2);
+  pre2.val *= -2.0*x;
+  pre2.err *=  2.0*fabs(x);
+  pre2.err +=  GSL_DBL_EPSILON * fabs(pre2.val);
+
+  t1_val = pre1.val * F1.val;
+  t1_err = fabs(pre1.val) * F1.err + pre1.err * fabs(F1.val);
+  t2_val = pre2.val * F2.val;
+  t2_err = fabs(pre2.val) * F2.err + pre2.err * fabs(F2.val);
+
+  result->val  = pre_val * (t1_val + t2_val);
+  result->err  = pre_val * (t1_err + t2_err);
+  result->err += pre_err * fabs(t1_val + t2_val);
+  result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+
+  return status;
+}
+
+
+/* P^{mu}_{-1/2 + I tau}
+ * defining hypergeometric representation
+ * [Abramowitz+Stegun, 8.1.2]
+ * 1 < x < 3
+ * effective for x near 1
+ *
+ */
+#if 0
+static
+int
+conicalP_def_hyperg(double mu, double tau, double x, double * result)
+{
+  double F;
+  int stat_F = gsl_sf_hyperg_2F1_conj_renorm_e(0.5, tau, 1.0-mu, 0.5*(1.0-x), &F);
+  *result = pow((x+1.0)/(x-1.0), 0.5*mu) * F;
+  return stat_F;
+}
+#endif /* 0 */
+
+
+/* P^{mu}_{-1/2 + I tau}  second hypergeometric representation
+ * [Zhurina+Karmazina, (3.1)] 
+ * -1 < x < 3
+ * effective for x near 1
+ *
+ */
+#if 0
+static
+int
+conicalP_xnear1_hyperg_C(double mu, double tau, double x, double * result)
+{
+  double ln_pre, arg_pre;
+  double ln_g1, arg_g1;
+  double ln_g2, arg_g2;
+  double F;
+
+  int stat_F = gsl_sf_hyperg_2F1_conj_renorm_e(0.5+mu, tau, 1.0+mu, 0.5*(1.0-x), &F);
+
+  gsl_sf_lngamma_complex_e(0.5+mu, tau, &ln_g1, &arg_g1);
+  gsl_sf_lngamma_complex_e(0.5-mu, tau, &ln_g2, &arg_g2);
+
+  ln_pre  = mu*M_LN2 - 0.5*mu*log(fabs(x*x-1.0)) + ln_g1 - ln_g2;
+  arg_pre = arg_g1 - arg_g2;
+
+  *result = exp(ln_pre) * F;
+  return stat_F;
+}
+#endif /* 0 */
+
+
+/* V0, V1 from Kolbig, m = 0
+ */
+static
+int
+conicalP_0_V(const double t, const double f, const double tau, const double sgn,
+             double * V0, double * V1)
+{
+  double C[8];
+  double T[8];
+  double H[8];
+  double V[12];
+  int i;
+  T[0] = 1.0;
+  H[0] = 1.0;
+  V[0] = 1.0;
+  for(i=1; i<=7; i++) {
+    T[i] = T[i-1] * t;
+    H[i] = H[i-1] * (t*f);
+  }
+  for(i=1; i<=11; i++) {
+    V[i] = V[i-1] * tau;
+  }
+
+  C[0] = 1.0;
+  C[1] = (H[1]-1.0)/(8.0*T[1]);
+  C[2] = (9.0*H[2] + 6.0*H[1] - 15.0 - sgn*8.0*T[2])/(128.0*T[2]);
+  C[3] = 5.0*(15.0*H[3] + 27.0*H[2] + 21.0*H[1] - 63.0 - sgn*T[2]*(16.0*H[1]+24.0))/(1024.0*T[3]);
+  C[4] = 7.0*(525.0*H[4] + 1500.0*H[3] + 2430.0*H[2] + 1980.0*H[1] - 6435.0
+              + 192.0*T[4] - sgn*T[2]*(720.0*H[2]+1600.0*H[1]+2160.0)
+              ) / (32768.0*T[4]);
+  C[5] = 21.0*(2835.0*H[5] + 11025.0*H[4] + 24750.0*H[3] + 38610.0*H[2]
+               + 32175.0*H[1] - 109395.0 + T[4]*(1984.0*H[1]+4032.0)
+               - sgn*T[2]*(4800.0*H[3]+15120.0*H[2]+26400.0*H[1]+34320.0)
+               ) / (262144.0*T[5]);
+  C[6] = 11.0*(218295.0*H[6] + 1071630.0*H[5] + 3009825.0*H[4] + 6142500.0*H[3]
+               + 9398025.0*H[2] + 7936110.0*H[1] - 27776385.0
+               + T[4]*(254016.0*H[2]+749952.0*H[1]+1100736.0)
+               - sgn*T[2]*(441000.0*H[4] + 1814400.0*H[3] + 4127760.0*H[2]
+                         + 6552000.0*H[1] + 8353800.0 + 31232.0*T[4]
+                         )
+               ) / (4194304.0*T[6]);
+
+  *V0 = C[0] + (-4.0*C[3]/T[1]+C[4])/V[4]
+             + (-192.0*C[5]/T[3]+144.0*C[6]/T[2])/V[8]
+             + sgn * (-C[2]/V[2]
+                      + (-24.0*C[4]/T[2]+12.0*C[5]/T[1]-C[6])/V[6] 
+                      + (-1920.0*C[6]/T[4])/V[10]
+                      );
+  *V1 = C[1]/V[1] + (8.0*(C[3]/T[2]-C[4]/T[1])+C[5])/V[5]
+                  + (384.0*C[5]/T[4] - 768.0*C[6]/T[3])/V[9]
+                  + sgn * ((2.0*C[2]/T[1]-C[3])/V[3]
+                           + (48.0*C[4]/T[3]-72.0*C[5]/T[2] + 18.0*C[6]/T[1])/V[7]
+                           + (3840.0*C[6]/T[5])/V[11]
+                           );
+
+  return GSL_SUCCESS;
+}
+
+
+/* V0, V1 from Kolbig, m = 1
+ */
+static
+int
+conicalP_1_V(const double t, const double f, const double tau, const double sgn,
+             double * V0, double * V1)
+{
+  double Cm1;
+  double C[8];
+  double T[8];
+  double H[8];
+  double V[12];
+  int i;
+  T[0] = 1.0;
+  H[0] = 1.0;
+  V[0] = 1.0;
+  for(i=1; i<=7; i++) {
+    T[i] = T[i-1] * t;
+    H[i] = H[i-1] * (t*f);
+  }
+  for(i=1; i<=11; i++) {
+    V[i] = V[i-1] * tau;
+  }
+
+  Cm1  = -1.0;
+  C[0] = 3.0*(1.0-H[1])/(8.0*T[1]);
+  C[1] = (-15.0*H[2]+6.0*H[1]+9.0+sgn*8.0*T[2])/(128.0*T[2]);
+  C[2] = 3.0*(-35.0*H[3] - 15.0*H[2] + 15.0*H[1] + 35.0 + sgn*T[2]*(32.0*H[1]+8.0))/(1024.0*T[3]);
+  C[3] = (-4725.0*H[4] - 6300.0*H[3] - 3150.0*H[2] + 3780.0*H[1] + 10395.0
+          -1216.0*T[4] + sgn*T[2]*(6000.0*H[2]+5760.0*H[1]+1680.0)) / (32768.0*T[4]);
+  C[4] = 7.0*(-10395.0*H[5] - 23625.0*H[4] - 28350.0*H[3] - 14850.0*H[2]
+              +19305.0*H[1] + 57915.0 - T[4]*(6336.0*H[1]+6080.0)
+              + sgn*T[2]*(16800.0*H[3] + 30000.0*H[2] + 25920.0*H[1] + 7920.0)
+              ) / (262144.0*T[5]);
+  C[5] = (-2837835.0*H[6] - 9168390.0*H[5] - 16372125.0*H[4] - 18918900*H[3]
+          -10135125.0*H[2] + 13783770.0*H[1] + 43648605.0
+          -T[4]*(3044160.0*H[2] + 5588352.0*H[1] + 4213440.0)
+          +sgn*T[2]*(5556600.0*H[4] + 14817600.0*H[3] + 20790000.0*H[2]
+                     + 17297280.0*H[1] + 5405400.0 + 323072.0*T[4]
+                     )
+          ) / (4194304.0*T[6]);
+  C[6] = 0.0;
+
+  *V0 = C[0] + (-4.0*C[3]/T[1]+C[4])/V[4]
+             + (-192.0*C[5]/T[3]+144.0*C[6]/T[2])/V[8]
+             + sgn * (-C[2]/V[2]
+                      + (-24.0*C[4]/T[2]+12.0*C[5]/T[1]-C[6])/V[6] 
+                      );
+  *V1 = C[1]/V[1] + (8.0*(C[3]/T[2]-C[4]/T[1])+C[5])/V[5]
+                  + (384.0*C[5]/T[4] - 768.0*C[6]/T[3])/V[9]
+                  + sgn * (Cm1*V[1] + (2.0*C[2]/T[1]-C[3])/V[3]
+                           + (48.0*C[4]/T[3]-72.0*C[5]/T[2] + 18.0*C[6]/T[1])/V[7]
+                           );
+
+  return GSL_SUCCESS;
+}
+
+
+
+/*-*-*-*-*-*-*-*-*-*-*-* Functions with Error Codes *-*-*-*-*-*-*-*-*-*-*-*/
+
+/* P^0_{-1/2 + I lambda}
+ */
+int
+gsl_sf_conicalP_0_e(const double lambda, const double x, gsl_sf_result * result)
+{
+  /* CHECK_POINTER(result) */
+
+  if(x <= -1.0) {
+    DOMAIN_ERROR(result);
+  }
+  else if(x == 1.0) {
+    result->val = 1.0;
+    result->err = 0.0;
+    return GSL_SUCCESS;
+  }
+  else if(lambda == 0.0) {
+    gsl_sf_result K;
+    int stat_K;
+    if(x < 1.0) {
+      const double th = acos(x);
+      const double s  = sin(0.5*th);
+      stat_K = gsl_sf_ellint_Kcomp_e(s, GSL_MODE_DEFAULT, &K);
+      result->val  = 2.0/M_PI * K.val;
+      result->err  = 2.0/M_PI * K.err;
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+      return stat_K;
+    }
+    else {
+      const double xi = acosh(x);
+      const double c  = cosh(0.5*xi);
+      const double t  = tanh(0.5*xi);
+      stat_K = gsl_sf_ellint_Kcomp_e(t, GSL_MODE_DEFAULT, &K);
+      result->val  = 2.0/M_PI / c * K.val;
+      result->err  = 2.0/M_PI / c * K.err;
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+      return stat_K;
+    }
+  }
+  else if(   (x <= 0.0 && lambda < 1000.0)
+          || (x <  0.1 && lambda < 17.0)
+          || (x <  0.2 && lambda < 5.0 )
+    ) {
+    return conicalP_xlt1_hyperg_A(0.0, lambda, x, result);
+  }
+  else if(   (x <= 0.2 && lambda < 17.0)
+          || (x <= 1.5 && lambda < 20.0)
+    ) {
+    return gsl_sf_hyperg_2F1_conj_e(0.5, lambda, 1.0, (1.0-x)/2, result);
+  }
+  else if(1.5 < x && lambda < GSL_MAX(x,20.0)) {
+    gsl_sf_result P;
+    double lm;
+    int stat_P = gsl_sf_conicalP_large_x_e(0.0, lambda, x,
+                                              &P, &lm
+                                              );
+    int stat_e = gsl_sf_exp_mult_err_e(lm, 2.0*GSL_DBL_EPSILON * fabs(lm),
+                                          P.val, P.err,
+                                          result);
+    return GSL_ERROR_SELECT_2(stat_e, stat_P);
+  }
+  else {
+    double V0, V1;
+    if(x < 1.0) {
+      double th  = acos(x);
+      double sth = sqrt(1.0-x*x);  /* sin(th) */
+      gsl_sf_result I0, I1;
+      int stat_I0 = gsl_sf_bessel_I0_scaled_e(th * lambda, &I0);
+      int stat_I1 = gsl_sf_bessel_I1_scaled_e(th * lambda, &I1);
+      int stat_I  = GSL_ERROR_SELECT_2(stat_I0, stat_I1);
+      int stat_V  = conicalP_0_V(th, x/sth, lambda, -1.0, &V0, &V1);
+      double bessterm = V0 * I0.val + V1 * I1.val;
+      double besserr  = fabs(V0) * I0.err + fabs(V1) * I1.err;
+      double arg1 = th*lambda;
+      double sqts = sqrt(th/sth);
+      int stat_e = gsl_sf_exp_mult_err_e(arg1, 4.0 * GSL_DBL_EPSILON * fabs(arg1),
+                                            sqts * bessterm, sqts * besserr,
+                                            result);
+      return GSL_ERROR_SELECT_3(stat_e, stat_V, stat_I);
+    }
+    else {
+      double sh = sqrt(x-1.0)*sqrt(x+1.0);  /* sinh(xi)      */
+      double xi = log(x + sh);              /* xi = acosh(x) */
+      gsl_sf_result J0, J1;
+      int stat_J0 = gsl_sf_bessel_J0_e(xi * lambda, &J0);
+      int stat_J1 = gsl_sf_bessel_J1_e(xi * lambda, &J1);
+      int stat_J  = GSL_ERROR_SELECT_2(stat_J0, stat_J1);
+      int stat_V  = conicalP_0_V(xi, x/sh, lambda, 1.0, &V0, &V1);
+      double bessterm = V0 * J0.val + V1 * J1.val;
+      double besserr  = fabs(V0) * J0.err + fabs(V1) * J1.err;
+      double pre_val = sqrt(xi/sh);
+      double pre_err = 2.0 * fabs(pre_val);
+      result->val  = pre_val * bessterm;
+      result->err  = pre_val * besserr;
+      result->err += pre_err * fabs(bessterm);
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+      return GSL_ERROR_SELECT_2(stat_V, stat_J);
+    }
+  }
+}
+
+
+/* P^1_{-1/2 + I lambda}
+ */
+int
+gsl_sf_conicalP_1_e(const double lambda, const double x, gsl_sf_result * result)
+{
+  /* CHECK_POINTER(result) */
+
+  if(x <= -1.0) {
+    DOMAIN_ERROR(result);
+  }
+  else if(lambda == 0.0) {
+    gsl_sf_result K, E;
+    int stat_K, stat_E;
+    if(x == 1.0) {
+      result->val = 0.0;
+      result->err = 0.0;
+      return GSL_SUCCESS;
+    }
+    else if(x < 1.0) {
+      if(1.0-x < GSL_SQRT_DBL_EPSILON) {
+        double err_amp = GSL_MAX_DBL(1.0, 1.0/(GSL_DBL_EPSILON + fabs(1.0-x)));
+        result->val = 0.25/M_SQRT2 * sqrt(1.0-x) * (1.0 + 5.0/16.0 * (1.0-x));
+        result->err = err_amp * 3.0 * GSL_DBL_EPSILON * fabs(result->val);
+        return GSL_SUCCESS;
+      }
+      else {
+        const double th = acos(x);
+        const double s  = sin(0.5*th);
+        const double c2 = 1.0 - s*s;
+        const double sth = sin(th);
+        const double pre = 2.0/(M_PI*sth);
+        stat_K = gsl_sf_ellint_Kcomp_e(s, GSL_MODE_DEFAULT, &K);
+        stat_E = gsl_sf_ellint_Ecomp_e(s, GSL_MODE_DEFAULT, &E);
+        result->val  = pre * (E.val - c2 * K.val);
+        result->err  = pre * (E.err + fabs(c2) * K.err);
+        result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+        return stat_K;
+      }
+    }
+    else {
+      if(x-1.0 < GSL_SQRT_DBL_EPSILON) {
+        double err_amp = GSL_MAX_DBL(1.0, 1.0/(GSL_DBL_EPSILON + fabs(1.0-x)));
+        result->val = -0.25/M_SQRT2 * sqrt(x-1.0) * (1.0 - 5.0/16.0 * (x-1.0));
+        result->err = err_amp * 3.0 * GSL_DBL_EPSILON * fabs(result->val);
+        return GSL_SUCCESS;
+      }
+      else {
+        const double xi = acosh(x);
+        const double c  = cosh(0.5*xi);
+        const double t  = tanh(0.5*xi);
+        const double sxi = sinh(xi);
+        const double pre = 2.0/(M_PI*sxi) * c;
+        stat_K = gsl_sf_ellint_Kcomp_e(t, GSL_MODE_DEFAULT, &K);
+        stat_E = gsl_sf_ellint_Ecomp_e(t, GSL_MODE_DEFAULT, &E);
+        result->val  = pre * (E.val - K.val);
+        result->err  = pre * (E.err + K.err);
+        result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+        return stat_K;
+      }
+    }
+  }
+  else if(   (x <= 0.0 && lambda < 1000.0)
+          || (x <  0.1 && lambda < 17.0)
+          || (x <  0.2 && lambda < 5.0 )
+    ) {
+    return conicalP_xlt1_hyperg_A(1.0, lambda, x, result);
+  }
+  else if(   (x <= 0.2 && lambda < 17.0)
+          || (x <  1.5 && lambda < 20.0)
+    ) {
+    const double arg = fabs(x*x - 1.0);
+    const double sgn = GSL_SIGN(1.0 - x);
+    const double pre = 0.5*(lambda*lambda + 0.25) * sgn * sqrt(arg);
+    gsl_sf_result F;
+    int stat_F = gsl_sf_hyperg_2F1_conj_e(1.5, lambda, 2.0, (1.0-x)/2, &F);
+    result->val  = pre * F.val;
+    result->err  = fabs(pre) * F.err;
+    result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+    return stat_F;
+  }
+  else if(1.5 <= x && lambda < GSL_MAX(x,20.0)) {
+    gsl_sf_result P;
+    double lm;
+    int stat_P = gsl_sf_conicalP_large_x_e(1.0, lambda, x,
+                                              &P, &lm
+                                              );
+    int stat_e = gsl_sf_exp_mult_err_e(lm, 2.0 * GSL_DBL_EPSILON * fabs(lm),
+                                          P.val, P.err,
+                                          result);
+    return GSL_ERROR_SELECT_2(stat_e, stat_P);
+  }
+  else {
+    double V0, V1;
+    if(x < 1.0) {
+      const double sqrt_1mx = sqrt(1.0 - x);
+      const double sqrt_1px = sqrt(1.0 + x);
+      const double th  = acos(x);
+      const double sth = sqrt_1mx * sqrt_1px;  /* sin(th) */
+      gsl_sf_result I0, I1;
+      int stat_I0 = gsl_sf_bessel_I0_scaled_e(th * lambda, &I0);
+      int stat_I1 = gsl_sf_bessel_I1_scaled_e(th * lambda, &I1);
+      int stat_I  = GSL_ERROR_SELECT_2(stat_I0, stat_I1);
+      int stat_V  = conicalP_1_V(th, x/sth, lambda, -1.0, &V0, &V1);
+      double bessterm = V0 * I0.val + V1 * I1.val;
+      double besserr  =  fabs(V0) * I0.err + fabs(V1) * I1.err
+                       + 2.0 * GSL_DBL_EPSILON * fabs(V0 * I0.val)
+                       + 2.0 * GSL_DBL_EPSILON * fabs(V1 * I1.val);
+      double arg1 = th * lambda;
+      double sqts = sqrt(th/sth);
+      int stat_e = gsl_sf_exp_mult_err_e(arg1, 2.0 * GSL_DBL_EPSILON * fabs(arg1),
+                                            sqts * bessterm, sqts * besserr,
+                                            result);
+      result->err *= 1.0/sqrt_1mx;
+      return GSL_ERROR_SELECT_3(stat_e, stat_V, stat_I);
+    }
+    else {
+      const double sqrt_xm1 = sqrt(x - 1.0);
+      const double sqrt_xp1 = sqrt(x + 1.0);
+      const double sh = sqrt_xm1 * sqrt_xp1;  /* sinh(xi)      */
+      const double xi = log(x + sh);          /* xi = acosh(x) */
+      const double xi_lam = xi * lambda;
+      gsl_sf_result J0, J1;
+      const int stat_J0 = gsl_sf_bessel_J0_e(xi_lam, &J0);
+      const int stat_J1 = gsl_sf_bessel_J1_e(xi_lam, &J1);
+      const int stat_J  = GSL_ERROR_SELECT_2(stat_J0, stat_J1);
+      const int stat_V  = conicalP_1_V(xi, x/sh, lambda, 1.0, &V0, &V1);
+      const double bessterm = V0 * J0.val + V1 * J1.val;
+      const double besserr  = fabs(V0) * J0.err + fabs(V1) * J1.err
+                       + 512.0 * 2.0 * GSL_DBL_EPSILON * fabs(V0 * J0.val)
+                       + 512.0 * 2.0 * GSL_DBL_EPSILON * fabs(V1 * J1.val)
+                       + GSL_DBL_EPSILON * fabs(xi_lam * V0 * J1.val)
+                       + GSL_DBL_EPSILON * fabs(xi_lam * V1 * J0.val);
+      const double pre = sqrt(xi/sh);
+      result->val  = pre * bessterm;
+      result->err  = pre * besserr * sqrt_xp1 / sqrt_xm1;
+      result->err += 4.0 * GSL_DBL_EPSILON * fabs(result->val);
+      return GSL_ERROR_SELECT_2(stat_V, stat_J);
+    }
+  }
+}
+
+
+/* P^{1/2}_{-1/2 + I lambda} (x)
+ * [Abramowitz+Stegun 8.6.8, 8.6.12]
+ * checked OK [GJ] Fri May  8 12:24:36 MDT 1998 
+ */
+int gsl_sf_conicalP_half_e(const double lambda, const double x,
+                              gsl_sf_result * result
+                              )
+{
+  /* CHECK_POINTER(result) */
+
+  if(x <= -1.0) {
+    DOMAIN_ERROR(result);
+  }
+  else if(x < 1.0) {
+    double err_amp = 1.0 + 1.0/(GSL_DBL_EPSILON + fabs(1.0-fabs(x)));
+    double ac  = acos(x);
+    double den = sqrt(sqrt(1.0-x)*sqrt(1.0+x));
+    result->val  = Root_2OverPi_ / den * cosh(ac * lambda);
+    result->err  = err_amp * 3.0 * GSL_DBL_EPSILON * fabs(result->val);
+    result->err *= fabs(ac * lambda) + 1.0;
+    return GSL_SUCCESS;
+  }
+  else if(x == 1.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    return GSL_SUCCESS;
+  }
+  else {
+    /* x > 1 */
+    double err_amp = 1.0 + 1.0/(GSL_DBL_EPSILON + fabs(1.0-fabs(x)));
+    double sq_term = sqrt(x-1.0)*sqrt(x+1.0);
+    double ln_term = log(x + sq_term);
+    double den = sqrt(sq_term);
+    double carg_val = lambda * ln_term;
+    double carg_err = 2.0 * GSL_DBL_EPSILON * fabs(carg_val);
+    gsl_sf_result cos_result;
+    int stat_cos = gsl_sf_cos_err_e(carg_val, carg_err, &cos_result);
+    result->val  = Root_2OverPi_ / den * cos_result.val;
+    result->err  = err_amp * Root_2OverPi_ / den * cos_result.err;
+    result->err += 4.0 * GSL_DBL_EPSILON * fabs(result->val);
+    return stat_cos;
+  }
+}
+
+
+/* P^{-1/2}_{-1/2 + I lambda} (x)
+ * [Abramowitz+Stegun 8.6.9, 8.6.14]
+ * checked OK [GJ] Fri May  8 12:24:43 MDT 1998 
+ */
+int gsl_sf_conicalP_mhalf_e(const double lambda, const double x, gsl_sf_result * result)
+{
+  /* CHECK_POINTER(result) */
+
+  if(x <= -1.0) {
+    DOMAIN_ERROR(result);
+  }
+  else if(x < 1.0) {
+    double ac  = acos(x);
+    double den = sqrt(sqrt(1.0-x)*sqrt(1.0+x));
+    double arg = ac * lambda;
+    double err_amp = 1.0 + 1.0/(GSL_DBL_EPSILON + fabs(1.0-fabs(x)));
+    if(fabs(arg) < GSL_SQRT_DBL_EPSILON) {
+      result->val  = Root_2OverPi_ / den * ac;
+      result->err  = 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+      result->err *= err_amp;
+    }
+    else {
+      result->val  = Root_2OverPi_ / (den*lambda) * sinh(arg);
+      result->err  = GSL_DBL_EPSILON * (fabs(arg)+1.0) * fabs(result->val);
+      result->err *= err_amp;
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+    }
+    return GSL_SUCCESS;
+  }
+  else if(x == 1.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    return GSL_SUCCESS;
+  }
+  else {
+    /* x > 1 */
+    double sq_term = sqrt(x-1.0)*sqrt(x+1.0);
+    double ln_term = log(x + sq_term);
+    double den = sqrt(sq_term);
+    double arg_val = lambda * ln_term;
+    double arg_err = 2.0 * GSL_DBL_EPSILON * fabs(arg_val);
+    if(arg_val < GSL_SQRT_DBL_EPSILON) {
+      result->val = Root_2OverPi_ / den * ln_term;
+      result->err = 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+      return GSL_SUCCESS;
+    }
+    else {
+      gsl_sf_result sin_result;
+      int stat_sin = gsl_sf_sin_err_e(arg_val, arg_err, &sin_result);
+      result->val  = Root_2OverPi_ / (den*lambda) * sin_result.val;
+      result->err  = Root_2OverPi_ / fabs(den*lambda) * sin_result.err;
+      result->err += 3.0 * GSL_DBL_EPSILON * fabs(result->val);
+      return stat_sin;
+    }
+  }
+}
+
+
+int gsl_sf_conicalP_sph_reg_e(const int l, const double lambda,
+                                 const double x,
+                                 gsl_sf_result * result
+                                 )
+{
+  /* CHECK_POINTER(result) */
+
+  if(x <= -1.0 || l < -1) {
+    DOMAIN_ERROR(result);
+  }
+  else if(l == -1) {
+    return gsl_sf_conicalP_half_e(lambda, x, result);
+  }
+  else if(l == 0) {
+    return gsl_sf_conicalP_mhalf_e(lambda, x, result);
+  }
+  else if(x == 1.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    return GSL_SUCCESS;
+  }
+  else if(x < 0.0) {
+    double c = 1.0/sqrt(1.0-x*x);
+    gsl_sf_result r_Pellm1;
+    gsl_sf_result r_Pell;
+    int stat_0 = gsl_sf_conicalP_half_e(lambda, x, &r_Pellm1);  /* P^( 1/2) */
+    int stat_1 = gsl_sf_conicalP_mhalf_e(lambda, x, &r_Pell);   /* P^(-1/2) */
+    int stat_P = GSL_ERROR_SELECT_2(stat_0, stat_1);
+    double Pellm1 = r_Pellm1.val;
+    double Pell   = r_Pell.val;
+    double Pellp1;
+    int ell;
+
+    for(ell=0; ell<l; ell++) {
+      double d = (ell+1.0)*(ell+1.0) + lambda*lambda;
+      Pellp1 = (Pellm1 - (2.0*ell+1.0)*c*x * Pell) / d;
+      Pellm1 = Pell;
+      Pell   = Pellp1;
+    }
+
+    result->val  = Pell;
+    result->err  = (0.5*l + 1.0) * GSL_DBL_EPSILON * fabs(Pell);
+    result->err += GSL_DBL_EPSILON * l * fabs(result->val);
+    return stat_P;
+  }
+  else if(x < 1.0) {
+    const double xi = x/(sqrt(1.0-x)*sqrt(1.0+x));
+    gsl_sf_result rat;
+    gsl_sf_result Phf;
+    int stat_CF1 = conicalP_negmu_xlt1_CF1(0.5, l, lambda, x, &rat);
+    int stat_Phf = gsl_sf_conicalP_half_e(lambda, x, &Phf);
+    double Pellp1 = rat.val * GSL_SQRT_DBL_MIN;
+    double Pell   = GSL_SQRT_DBL_MIN;
+    double Pellm1;
+    int ell;
+
+    for(ell=l; ell>=0; ell--) {
+      double d = (ell+1.0)*(ell+1.0) + lambda*lambda;
+      Pellm1 = (2.0*ell+1.0)*xi * Pell + d * Pellp1;
+      Pellp1 = Pell;
+      Pell   = Pellm1;
+    }
+
+    result->val  = GSL_SQRT_DBL_MIN * Phf.val / Pell;
+    result->err  = GSL_SQRT_DBL_MIN * Phf.err / fabs(Pell);
+    result->err += fabs(rat.err/rat.val) * (l + 1.0) * fabs(result->val);
+    result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+
+    return GSL_ERROR_SELECT_2(stat_Phf, stat_CF1);
+  }
+  else if(x == 1.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    return GSL_SUCCESS;
+  }
+  else {
+    /* x > 1.0 */
+
+    const double xi = x/sqrt((x-1.0)*(x+1.0));
+    gsl_sf_result rat;
+    int stat_CF1 = conicalP_negmu_xgt1_CF1(0.5, l, lambda, x, &rat);
+    int stat_P;
+    double Pellp1 = rat.val * GSL_SQRT_DBL_MIN;
+    double Pell   = GSL_SQRT_DBL_MIN;
+    double Pellm1;
+    int ell;
+
+    for(ell=l; ell>=0; ell--) {
+      double d = (ell+1.0)*(ell+1.0) + lambda*lambda;
+      Pellm1 = (2.0*ell+1.0)*xi * Pell - d * Pellp1;
+      Pellp1 = Pell;
+      Pell   = Pellm1;
+    }
+
+    if(fabs(Pell) > fabs(Pellp1)){
+      gsl_sf_result Phf;
+      stat_P = gsl_sf_conicalP_half_e(lambda, x, &Phf);
+      result->val  =       GSL_SQRT_DBL_MIN * Phf.val / Pell;
+      result->err  = 2.0 * GSL_SQRT_DBL_MIN * Phf.err / fabs(Pell);
+      result->err += 2.0 * fabs(rat.err/rat.val) * (l + 1.0) * fabs(result->val);
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+    }
+    else {
+      gsl_sf_result Pmhf;
+      stat_P = gsl_sf_conicalP_mhalf_e(lambda, x, &Pmhf);
+      result->val  =       GSL_SQRT_DBL_MIN * Pmhf.val / Pellp1;
+      result->err  = 2.0 * GSL_SQRT_DBL_MIN * Pmhf.err / fabs(Pellp1);
+      result->err += 2.0 * fabs(rat.err/rat.val) * (l + 1.0) * fabs(result->val);
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+    }
+
+    return GSL_ERROR_SELECT_2(stat_P, stat_CF1);
+  }
+}
+
+
+int gsl_sf_conicalP_cyl_reg_e(const int m, const double lambda,
+                                 const double x,
+                                 gsl_sf_result * result
+                                 )
+{
+  /* CHECK_POINTER(result) */
+
+  if(x <= -1.0 || m < -1) {
+    DOMAIN_ERROR(result);
+  }
+  else if(m == -1) {
+    return gsl_sf_conicalP_1_e(lambda, x, result);
+  }
+  else if(m == 0) {
+    return gsl_sf_conicalP_0_e(lambda, x, result);
+  }
+  else if(x == 1.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    return GSL_SUCCESS;
+  }
+  else if(x < 0.0) {
+    double c = 1.0/sqrt(1.0-x*x);
+    gsl_sf_result r_Pkm1;
+    gsl_sf_result r_Pk;
+    int stat_0 = gsl_sf_conicalP_1_e(lambda, x, &r_Pkm1);  /* P^1 */
+    int stat_1 = gsl_sf_conicalP_0_e(lambda, x, &r_Pk);    /* P^0 */
+    int stat_P = GSL_ERROR_SELECT_2(stat_0, stat_1);
+    double Pkm1 = r_Pkm1.val;
+    double Pk   = r_Pk.val;
+    double Pkp1;
+    int k;
+
+    for(k=0; k<m; k++) {
+      double d = (k+0.5)*(k+0.5) + lambda*lambda;
+      Pkp1 = (Pkm1 - 2.0*k*c*x * Pk) / d;
+      Pkm1 = Pk;
+      Pk   = Pkp1;
+    }
+
+    result->val  = Pk;
+    result->err  = (m + 2.0) * GSL_DBL_EPSILON * fabs(Pk);
+    result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+
+    return stat_P;
+  }
+  else if(x < 1.0) {
+    const double xi = x/(sqrt(1.0-x)*sqrt(1.0+x));
+    gsl_sf_result rat;
+    gsl_sf_result P0;
+    int stat_CF1 = conicalP_negmu_xlt1_CF1(0.0, m, lambda, x, &rat);
+    int stat_P0  = gsl_sf_conicalP_0_e(lambda, x, &P0);
+    double Pkp1 = rat.val * GSL_SQRT_DBL_MIN;
+    double Pk   = GSL_SQRT_DBL_MIN;
+    double Pkm1;
+    int k;
+
+    for(k=m; k>0; k--) {
+      double d = (k+0.5)*(k+0.5) + lambda*lambda;
+      Pkm1 = 2.0*k*xi * Pk + d * Pkp1;
+      Pkp1 = Pk;
+      Pk   = Pkm1;
+    }
+
+    result->val  = GSL_SQRT_DBL_MIN * P0.val / Pk;
+    result->err  = 2.0 * GSL_SQRT_DBL_MIN * P0.err / fabs(Pk);
+    result->err += 2.0 * fabs(rat.err/rat.val) * (m + 1.0) * fabs(result->val);
+    result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+
+    return GSL_ERROR_SELECT_2(stat_P0, stat_CF1);
+  }
+  else if(x == 1.0) {
+    result->val = 0.0;
+    result->err = 0.0;
+    return GSL_SUCCESS;
+  }
+  else {
+    /* x > 1.0 */
+
+    const double xi = x/sqrt((x-1.0)*(x+1.0));
+    gsl_sf_result rat;
+    int stat_CF1 = conicalP_negmu_xgt1_CF1(0.0, m, lambda, x, &rat);
+    int stat_P;
+    double Pkp1 = rat.val * GSL_SQRT_DBL_MIN;
+    double Pk   = GSL_SQRT_DBL_MIN;
+    double Pkm1;
+    int k;
+
+    for(k=m; k>-1; k--) {
+      double d = (k+0.5)*(k+0.5) + lambda*lambda;
+      Pkm1 = 2.0*k*xi * Pk - d * Pkp1;
+      Pkp1 = Pk;
+      Pk   = Pkm1;
+    }
+
+    if(fabs(Pk) > fabs(Pkp1)){
+      gsl_sf_result P1;
+      stat_P = gsl_sf_conicalP_1_e(lambda, x, &P1);
+      result->val  = GSL_SQRT_DBL_MIN * P1.val / Pk;
+      result->err  = 2.0 * GSL_SQRT_DBL_MIN * P1.err / fabs(Pk);
+      result->err += 2.0 * fabs(rat.err/rat.val) * (m+2.0) * fabs(result->val);
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+    }
+    else {
+      gsl_sf_result P0;
+      stat_P = gsl_sf_conicalP_0_e(lambda, x, &P0);
+      result->val  = GSL_SQRT_DBL_MIN * P0.val / Pkp1;
+      result->err  = 2.0 * GSL_SQRT_DBL_MIN * P0.err / fabs(Pkp1);
+      result->err += 2.0 * fabs(rat.err/rat.val) * (m+2.0) * fabs(result->val);
+      result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+    }
+
+    return GSL_ERROR_SELECT_2(stat_P, stat_CF1);
+  }
+}
+
+
+/*-*-*-*-*-*-*-*-*-* Functions w/ Natural Prototypes *-*-*-*-*-*-*-*-*-*-*/
+
+#include "eval.h"
+
+double gsl_sf_conicalP_0(const double lambda, const double x)
+{
+  EVAL_RESULT(gsl_sf_conicalP_0_e(lambda, x, &result));
+}
+
+double gsl_sf_conicalP_1(const double lambda, const double x)
+{
+  EVAL_RESULT(gsl_sf_conicalP_1_e(lambda, x, &result));
+}
+
+double gsl_sf_conicalP_half(const double lambda, const double x)
+{
+  EVAL_RESULT(gsl_sf_conicalP_half_e(lambda, x, &result));
+}
+
+double gsl_sf_conicalP_mhalf(const double lambda, const double x)
+{
+  EVAL_RESULT(gsl_sf_conicalP_mhalf_e(lambda, x, &result));
+}
+
+double gsl_sf_conicalP_sph_reg(const int l, const double lambda, const double x)
+{
+  EVAL_RESULT(gsl_sf_conicalP_sph_reg_e(l, lambda, x, &result));
+}
+
+double gsl_sf_conicalP_cyl_reg(const int m, const double lambda, const double x)
+{
+  EVAL_RESULT(gsl_sf_conicalP_cyl_reg_e(m, lambda, x, &result));
+}