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, 493 insertions, 0 deletions

diff --git a/gsl-1.9/doc/complex.texi b/gsl-1.9/doc/complex.texi
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+@cindex complex numbers
+
+The functions described in this chapter provide support for complex
+numbers.  The algorithms take care to avoid unnecessary intermediate
+underflows and overflows, allowing the functions to be evaluated over 
+as much of the complex plane as possible. 
+
+@comment FIXME: this still needs to be
+@comment done for the csc,sec,cot,csch,sech,coth functions
+
+For multiple-valued functions the branch cuts have been chosen to follow
+the conventions of Abramowitz and Stegun in the @cite{Handbook of
+Mathematical Functions}. The functions return principal values which are
+the same as those in GNU Calc, which in turn are the same as those in
+@cite{Common Lisp, The Language (Second Edition)}@footnote{Note that the
+first edition uses different definitions.} and the HP-28/48 series of
+calculators.
+
+The complex types are defined in the header file @file{gsl_complex.h},
+while the corresponding complex functions and arithmetic operations are
+defined in @file{gsl_complex_math.h}.
+
+@menu
+* Complex numbers::             
+* Properties of complex numbers::  
+* Complex arithmetic operators::  
+* Elementary Complex Functions::  
+* Complex Trigonometric Functions::  
+* Inverse Complex Trigonometric Functions::  
+* Complex Hyperbolic Functions::  
+* Inverse Complex Hyperbolic Functions::  
+* Complex Number References and Further Reading::  
+@end menu
+
+@node Complex numbers
+@section Complex numbers
+@cindex representations of complex numbers
+@cindex polar form of complex numbers
+@tpindex gsl_complex
+
+Complex numbers are represented using the type @code{gsl_complex}. The
+internal representation of this type may vary across platforms and
+should not be accessed directly. The functions and macros described
+below allow complex numbers to be manipulated in a portable way.
+
+For reference, the default form of the @code{gsl_complex} type is
+given by the following struct,
+
+@example
+typedef struct
+@{
+  double dat[2];
+@} gsl_complex;
+@end example
+
+@noindent
+The real and imaginary part are stored in contiguous elements of a two
+element array. This eliminates any padding between the real and
+imaginary parts, @code{dat[0]} and @code{dat[1]}, allowing the struct to
+be mapped correctly onto packed complex arrays.
+
+@deftypefun gsl_complex gsl_complex_rect (double @var{x}, double @var{y})
+This function uses the rectangular cartesian components
+(@var{x},@var{y}) to return the complex number @math{z = x + i y}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_polar (double @var{r}, double @var{theta})
+This function returns the complex number @math{z = r \exp(i \theta) = r
+(\cos(\theta) + i \sin(\theta))} from the polar representation
+(@var{r},@var{theta}).
+@end deftypefun
+
+@defmac GSL_REAL (@var{z})
+@defmacx GSL_IMAG (@var{z})
+These macros return the real and imaginary parts of the complex number
+@var{z}.
+@end defmac
+
+@defmac GSL_SET_COMPLEX (@var{zp}, @var{x}, @var{y})
+This macro uses the cartesian components (@var{x},@var{y}) to set the
+real and imaginary parts of the complex number pointed to by @var{zp}.
+For example,
+
+@example
+GSL_SET_COMPLEX(&z, 3, 4)
+@end example
+
+@noindent
+sets @var{z} to be @math{3 + 4i}.
+@end defmac
+
+@defmac GSL_SET_REAL (@var{zp},@var{x})
+@defmacx GSL_SET_IMAG (@var{zp},@var{y})
+These macros allow the real and imaginary parts of the complex number
+pointed to by @var{zp} to be set independently.
+@end defmac
+
+@node Properties of complex numbers
+@section Properties of complex numbers
+
+@deftypefun double gsl_complex_arg (gsl_complex @var{z})
+@cindex argument of complex number 
+This function returns the argument of the complex number @var{z},
+@math{\arg(z)}, where @c{$-\pi < \arg(z) \leq \pi$}
+@math{-\pi < \arg(z) <= \pi}.
+@end deftypefun
+
+@deftypefun double gsl_complex_abs (gsl_complex @var{z})
+@cindex magnitude of complex number 
+This function returns the magnitude of the complex number @var{z}, @math{|z|}.
+@end deftypefun
+
+@deftypefun double gsl_complex_abs2 (gsl_complex @var{z})
+This function returns the squared magnitude of the complex number
+@var{z}, @math{|z|^2}.
+@end deftypefun
+
+@deftypefun double gsl_complex_logabs (gsl_complex @var{z})
+This function returns the natural logarithm of the magnitude of the
+complex number @var{z}, @math{\log|z|}.  It allows an accurate
+evaluation of @math{\log|z|} when @math{|z|} is close to one. The direct
+evaluation of @code{log(gsl_complex_abs(z))} would lead to a loss of
+precision in this case.
+@end deftypefun
+
+
+@node Complex arithmetic operators
+@section Complex arithmetic operators
+@cindex complex arithmetic
+
+@deftypefun gsl_complex gsl_complex_add (gsl_complex @var{a}, gsl_complex @var{b})
+This function returns the sum of the complex numbers @var{a} and
+@var{b}, @math{z=a+b}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_sub (gsl_complex @var{a}, gsl_complex @var{b})
+This function returns the difference of the complex numbers @var{a} and
+@var{b}, @math{z=a-b}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_mul (gsl_complex @var{a}, gsl_complex @var{b})
+This function returns the product of the complex numbers @var{a} and
+@var{b}, @math{z=ab}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_div (gsl_complex @var{a}, gsl_complex @var{b})
+This function returns the quotient of the complex numbers @var{a} and
+@var{b}, @math{z=a/b}.
+@end deftypefun
+
+
+@deftypefun gsl_complex gsl_complex_add_real (gsl_complex @var{a}, double @var{x})
+This function returns the sum of the complex number @var{a} and the
+real number @var{x}, @math{z=a+x}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_sub_real (gsl_complex @var{a}, double @var{x})
+This function returns the difference of the complex number @var{a} and the
+real number @var{x}, @math{z=a-x}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_mul_real (gsl_complex @var{a}, double @var{x})
+This function returns the product of the complex number @var{a} and the
+real number @var{x}, @math{z=ax}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_div_real (gsl_complex @var{a}, double @var{x})
+This function returns the quotient of the complex number @var{a} and the
+real number @var{x}, @math{z=a/x}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_add_imag (gsl_complex @var{a}, double @var{y})
+This function returns the sum of the complex number @var{a} and the
+imaginary number @math{i}@var{y}, @math{z=a+iy}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_sub_imag (gsl_complex @var{a}, double @var{y})
+This function returns the difference of the complex number @var{a} and the
+imaginary number @math{i}@var{y}, @math{z=a-iy}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_mul_imag (gsl_complex @var{a}, double @var{y})
+This function returns the product of the complex number @var{a} and the
+imaginary number @math{i}@var{y}, @math{z=a*(iy)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_div_imag (gsl_complex @var{a}, double @var{y})
+This function returns the quotient of the complex number @var{a} and the
+imaginary number @math{i}@var{y}, @math{z=a/(iy)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_conjugate (gsl_complex @var{z})
+@cindex conjugate of complex number
+This function returns the complex conjugate of the complex number
+@var{z}, @math{z^* = x - i y}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_inverse (gsl_complex @var{z})
+This function returns the inverse, or reciprocal, of the complex number
+@var{z}, @math{1/z = (x - i y)/(x^2 + y^2)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_negative (gsl_complex @var{z})
+This function returns the negative of the complex number
+@var{z}, @math{-z = (-x) + i(-y)}.
+@end deftypefun
+
+
+@node Elementary Complex Functions
+@section Elementary Complex Functions
+
+@deftypefun gsl_complex gsl_complex_sqrt (gsl_complex @var{z})
+@cindex square root of complex number
+This function returns the square root of the complex number @var{z},
+@math{\sqrt z}. The branch cut is the negative real axis. The result
+always lies in the right half of the complex plane.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_sqrt_real (double @var{x})
+This function returns the complex square root of the real number
+@var{x}, where @var{x} may be negative.
+@end deftypefun
+
+
+@deftypefun gsl_complex gsl_complex_pow (gsl_complex @var{z}, gsl_complex @var{a})
+@cindex power of complex number
+@cindex exponentiation of complex number
+The function returns the complex number @var{z} raised to the complex
+power @var{a}, @math{z^a}. This is computed as @math{\exp(\log(z)*a)}
+using complex logarithms and complex exponentials.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_pow_real (gsl_complex @var{z}, double @var{x})
+This function returns the complex number @var{z} raised to the real
+power @var{x}, @math{z^x}.
+@end deftypefun
+
+
+@deftypefun gsl_complex gsl_complex_exp (gsl_complex @var{z})
+This function returns the complex exponential of the complex number
+@var{z}, @math{\exp(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_log (gsl_complex @var{z})
+@cindex logarithm of complex number
+This function returns the complex natural logarithm (base @math{e}) of
+the complex number @var{z}, @math{\log(z)}.  The branch cut is the
+negative real axis. 
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_log10 (gsl_complex @var{z})
+This function returns the complex base-10 logarithm of
+the complex number @var{z}, @c{$\log_{10}(z)$}
+@math{\log_10 (z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_log_b (gsl_complex @var{z}, gsl_complex @var{b})
+This function returns the complex base-@var{b} logarithm of the complex
+number @var{z}, @math{\log_b(z)}. This quantity is computed as the ratio
+@math{\log(z)/\log(b)}.
+@end deftypefun
+
+
+@node Complex Trigonometric Functions
+@section Complex Trigonometric Functions
+@cindex trigonometric functions of complex numbers
+
+@deftypefun gsl_complex gsl_complex_sin (gsl_complex @var{z})
+@cindex sin, of complex number
+This function returns the complex sine of the complex number @var{z},
+@math{\sin(z) = (\exp(iz) - \exp(-iz))/(2i)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_cos (gsl_complex @var{z})
+@cindex cosine of complex number
+This function returns the complex cosine of the complex number @var{z},
+@math{\cos(z) = (\exp(iz) + \exp(-iz))/2}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_tan (gsl_complex @var{z})
+@cindex tangent of complex number
+This function returns the complex tangent of the complex number @var{z},
+@math{\tan(z) = \sin(z)/\cos(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_sec (gsl_complex @var{z})
+This function returns the complex secant of the complex number @var{z},
+@math{\sec(z) = 1/\cos(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_csc (gsl_complex @var{z})
+This function returns the complex cosecant of the complex number @var{z},
+@math{\csc(z) = 1/\sin(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_cot (gsl_complex @var{z})
+This function returns the complex cotangent of the complex number @var{z},
+@math{\cot(z) = 1/\tan(z)}.
+@end deftypefun
+
+
+@node Inverse Complex Trigonometric Functions
+@section Inverse Complex Trigonometric Functions
+@cindex inverse complex trigonometric functions
+
+@deftypefun gsl_complex gsl_complex_arcsin (gsl_complex @var{z})
+This function returns the complex arcsine of the complex number @var{z},
+@math{\arcsin(z)}. The branch cuts are on the real axis, less than @math{-1}
+and greater than @math{1}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arcsin_real (double @var{z})
+This function returns the complex arcsine of the real number @var{z},
+@math{\arcsin(z)}. For @math{z} between @math{-1} and @math{1}, the
+function returns a real value in the range @math{[-\pi/2,\pi/2]}. For
+@math{z} less than @math{-1} the result has a real part of @math{-\pi/2}
+and a positive imaginary part.  For @math{z} greater than @math{1} the
+result has a real part of @math{\pi/2} and a negative imaginary part.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccos (gsl_complex @var{z})
+This function returns the complex arccosine of the complex number @var{z},
+@math{\arccos(z)}. The branch cuts are on the real axis, less than @math{-1}
+and greater than @math{1}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccos_real (double @var{z})
+This function returns the complex arccosine of the real number @var{z},
+@math{\arccos(z)}. For @math{z} between @math{-1} and @math{1}, the
+function returns a real value in the range @math{[0,\pi]}. For @math{z}
+less than @math{-1} the result has a real part of @math{\pi} and a
+negative imaginary part.  For @math{z} greater than @math{1} the result
+is purely imaginary and positive.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arctan (gsl_complex @var{z})
+This function returns the complex arctangent of the complex number
+@var{z}, @math{\arctan(z)}. The branch cuts are on the imaginary axis,
+below @math{-i} and above @math{i}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arcsec (gsl_complex @var{z})
+This function returns the complex arcsecant of the complex number @var{z},
+@math{\arcsec(z) = \arccos(1/z)}. 
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arcsec_real (double @var{z})
+This function returns the complex arcsecant of the real number @var{z},
+@math{\arcsec(z) = \arccos(1/z)}. 
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccsc (gsl_complex @var{z})
+This function returns the complex arccosecant of the complex number @var{z},
+@math{\arccsc(z) = \arcsin(1/z)}. 
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccsc_real (double @var{z})
+This function returns the complex arccosecant of the real number @var{z},
+@math{\arccsc(z) = \arcsin(1/z)}. 
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccot (gsl_complex @var{z})
+This function returns the complex arccotangent of the complex number @var{z},
+@math{\arccot(z) = \arctan(1/z)}. 
+@end deftypefun
+
+
+@node Complex Hyperbolic Functions
+@section Complex Hyperbolic Functions
+@cindex hyperbolic functions, complex numbers
+
+@deftypefun gsl_complex gsl_complex_sinh (gsl_complex @var{z})
+This function returns the complex hyperbolic sine of the complex number
+@var{z}, @math{\sinh(z) = (\exp(z) - \exp(-z))/2}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_cosh (gsl_complex @var{z})
+This function returns the complex hyperbolic cosine of the complex number
+@var{z}, @math{\cosh(z) = (\exp(z) + \exp(-z))/2}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_tanh (gsl_complex @var{z})
+This function returns the complex hyperbolic tangent of the complex number
+@var{z}, @math{\tanh(z) = \sinh(z)/\cosh(z)}.
+@end deftypefun
+
+
+@deftypefun gsl_complex gsl_complex_sech (gsl_complex @var{z})
+This function returns the complex hyperbolic secant of the complex
+number @var{z}, @math{\sech(z) = 1/\cosh(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_csch (gsl_complex @var{z})
+This function returns the complex hyperbolic cosecant of the complex
+number @var{z}, @math{\csch(z) = 1/\sinh(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_coth (gsl_complex @var{z})
+This function returns the complex hyperbolic cotangent of the complex
+number @var{z}, @math{\coth(z) = 1/\tanh(z)}.
+@end deftypefun
+
+
+@node Inverse Complex Hyperbolic Functions
+@section Inverse Complex Hyperbolic Functions
+@cindex inverse hyperbolic functions, complex numbers
+
+@deftypefun gsl_complex gsl_complex_arcsinh (gsl_complex @var{z})
+This function returns the complex hyperbolic arcsine of the
+complex number @var{z}, @math{\arcsinh(z)}.  The branch cuts are on the
+imaginary axis, below @math{-i} and above @math{i}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccosh (gsl_complex @var{z})
+This function returns the complex hyperbolic arccosine of the complex
+number @var{z}, @math{\arccosh(z)}.  The branch cut is on the real
+axis, less than @math{1}.  Note that in this case we use the negative
+square root in formula 4.6.21 of Abramowitz & Stegun giving
+@c{$\arccosh(z)=\log(z-\sqrt{z^2-1})$}
+@math{\arccosh(z)=\log(z-\sqrt@{z^2-1@})}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccosh_real (double @var{z})
+This function returns the complex hyperbolic arccosine of
+the real number @var{z}, @math{\arccosh(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arctanh (gsl_complex @var{z})
+This function returns the complex hyperbolic arctangent of the complex
+number @var{z}, @math{\arctanh(z)}.  The branch cuts are on the real
+axis, less than @math{-1} and greater than @math{1}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arctanh_real (double @var{z})
+This function returns the complex hyperbolic arctangent of the real
+number @var{z}, @math{\arctanh(z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arcsech (gsl_complex @var{z})
+This function returns the complex hyperbolic arcsecant of the complex
+number @var{z}, @math{\arcsech(z) = \arccosh(1/z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccsch (gsl_complex @var{z})
+This function returns the complex hyperbolic arccosecant of the complex
+number @var{z}, @math{\arccsch(z) = \arcsin(1/z)}.
+@end deftypefun
+
+@deftypefun gsl_complex gsl_complex_arccoth (gsl_complex @var{z})
+This function returns the complex hyperbolic arccotangent of the complex
+number @var{z}, @math{\arccoth(z) = \arctanh(1/z)}.
+@end deftypefun
+
+@node Complex Number References and Further Reading
+@section References and Further Reading
+
+The implementations of the elementary and trigonometric functions are
+based on the following papers,
+
+@itemize @asis
+@item
+T. E. Hull, Thomas F. Fairgrieve, Ping Tak Peter Tang,
+``Implementing Complex Elementary Functions Using Exception
+Handling'', @cite{ACM Transactions on Mathematical Software}, Volume 20
+(1994), pp 215--244, Corrigenda, p553
+
+@item
+T. E. Hull, Thomas F. Fairgrieve, Ping Tak Peter Tang,
+``Implementing the complex arcsin and arccosine functions using exception
+handling'', @cite{ACM Transactions on Mathematical Software}, Volume 23
+(1997) pp 299--335
+@end itemize
+
+@noindent
+The general formulas and details of branch cuts can be found in the
+following books,
+
+@itemize @asis
+@item
+Abramowitz and Stegun, @cite{Handbook of Mathematical Functions},
+``Circular Functions in Terms of Real and Imaginary Parts'', Formulas
+4.3.55--58,
+``Inverse Circular Functions in Terms of Real and Imaginary Parts'',
+Formulas 4.4.37--39,
+``Hyperbolic Functions in Terms of Real and Imaginary Parts'',
+Formulas 4.5.49--52,
+``Inverse Hyperbolic Functions---relation to Inverse Circular Functions'',
+Formulas 4.6.14--19.
+
+@item
+Dave Gillespie, @cite{Calc Manual}, Free Software Foundation, ISBN
+1-882114-18-3
+@end itemize