diff options
| author | Joel Sherrill <joel.sherrill@OARcorp.com> | 2011-04-08 17:33:11 +0000 |
|---|---|---|
| committer | Joel Sherrill <joel.sherrill@OARcorp.com> | 2011-04-08 17:33:11 +0000 |
| commit | 73f643f3f4a55310b2c8c1a9858906b2dd676e72 (patch) | |
| tree | b1df97f18dace4a5702b0bc7aafdfee8a2f25ada /gsl-1.9/integration/test.c | |
| parent | ee523abdace8337d05ec4a179fcdf5de3fe0f634 (diff) | |
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,
fft/real_pass_5.c, fft/real_pass_n.c, fft/real_radix2.c,
fft/real_unpack.c, fft/signals.c, fft/signals.h,
fft/signals_source.c, fft/test.c, fft/test_complex_source.c,
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,
fit/linear.c, fit/test.c, gsl/Makefile.am, gsl/Makefile.in,
histogram/ChangeLog, histogram/Makefile.am, histogram/Makefile.in,
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,
histogram/pdf.c, histogram/pdf2d.c, histogram/reset.c,
histogram/reset2d.c, histogram/stat.c, histogram/stat2d.c,
histogram/test.c, histogram/test1d.c, histogram/test1d_resample.c,
histogram/test1d_trap.c, histogram/test2d.c,
histogram/test2d_resample.c, histogram/test2d_trap.c,
histogram/urand.c, ieee-utils/ChangeLog, ieee-utils/Makefile.am,
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,
ieee-utils/fp-gnuppc.c, ieee-utils/fp-gnusparc.c,
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,
integration/Makefile.in, integration/TODO, integration/append.c,
integration/err.c, integration/gsl_integration.h,
integration/initialise.c, integration/positivity.c,
integration/ptsort.c, integration/qag.c, integration/qagp.c,
integration/qags.c, integration/qawc.c, integration/qawf.c,
integration/qawo.c, integration/qaws.c, integration/qc25c.c,
integration/qc25f.c, integration/qc25s.c, integration/qcheb.c,
integration/qelg.c, integration/qk.c, integration/qk15.c,
integration/qk21.c, integration/qk31.c, integration/qk41.c,
integration/qk51.c, integration/qk61.c, integration/qmomo.c,
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,
integration/tests.h, integration/util.c, integration/workspace.c,
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,
linalg/balance.c, linalg/balancemat.c, linalg/bidiag.c,
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,
linalg/ptlq.c, linalg/qr.c, linalg/qrpt.c, linalg/svd.c,
linalg/svdstep.c, linalg/symmtd.c, linalg/test.c, linalg/tridiag.c,
linalg/tridiag.h, matrix/ChangeLog, matrix/Makefile.am,
matrix/Makefile.in, matrix/TODO, matrix/copy.c, matrix/copy_source.c,
matrix/file.c, matrix/file_source.c, matrix/getset.c,
matrix/getset_source.c, matrix/gsl_matrix.h,
matrix/gsl_matrix_char.h, matrix/gsl_matrix_complex_double.h,
matrix/gsl_matrix_complex_float.h,
matrix/gsl_matrix_complex_long_double.h, matrix/gsl_matrix_double.h,
matrix/gsl_matrix_float.h, matrix/gsl_matrix_int.h,
matrix/gsl_matrix_long.h, matrix/gsl_matrix_long_double.h,
matrix/gsl_matrix_short.h, matrix/gsl_matrix_uchar.h,
matrix/gsl_matrix_uint.h, matrix/gsl_matrix_ulong.h,
matrix/gsl_matrix_ushort.h, matrix/init.c, matrix/init_source.c,
matrix/matrix.c, matrix/matrix_source.c, matrix/minmax.c,
matrix/minmax_source.c, matrix/oper.c, matrix/oper_complex_source.c,
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,
permutation/gsl_permute_vector_short.h,
permutation/gsl_permute_vector_uchar.h,
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,
poly/Makefile.am, poly/Makefile.in, poly/TODO, poly/balance.c,
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,
poly/zsolve.c, poly/zsolve_cubic.c, poly/zsolve_init.c,
poly/zsolve_quadratic.c, qrng/ChangeLog, qrng/Makefile.am,
qrng/Makefile.in, qrng/TODO, qrng/gsl_qrng.h, qrng/niederreiter-2.c,
qrng/qrng.c, qrng/sobol.c, qrng/test.c, randist/ChangeLog,
randist/Makefile.am, randist/Makefile.in, randist/TODO,
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,
randist/pascal.c, randist/poisson.c, randist/rayleigh.c,
randist/shuffle.c, randist/sphere.c, randist/tdist.c, randist/test.c,
randist/weibull.c, rng/ChangeLog, rng/Makefile.am, rng/Makefile.in,
rng/TODO, rng/borosh13.c, rng/cmrg.c, rng/coveyou.c, rng/default.c,
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,
rng/rand.c, rng/rand48.c, rng/random.c, rng/randu.c, rng/ranf.c,
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,
rng/transputer.c, rng/tt.c, rng/types.c, rng/uni.c, rng/uni32.c,
rng/vax.c, rng/waterman14.c, rng/zuf.c, roots/ChangeLog,
roots/Makefile.am, roots/Makefile.in, roots/TODO, roots/bisection.c,
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,
siman/test.c, sort/ChangeLog, sort/Makefile.am, sort/Makefile.in,
sort/TODO, sort/gsl_heapsort.h, sort/gsl_sort.h,
sort/gsl_sort_char.h, sort/gsl_sort_double.h, sort/gsl_sort_float.h,
sort/gsl_sort_int.h, sort/gsl_sort_long.h,
sort/gsl_sort_long_double.h, sort/gsl_sort_short.h,
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,
sort/gsl_sort_vector_uint.h, sort/gsl_sort_vector_ulong.h,
sort/gsl_sort_vector_ushort.h, sort/sort.c, sort/sortind.c,
sort/sortvec.c, sort/sortvec_source.c, sort/sortvecind.c,
sort/sortvecind_source.c, sort/subset.c, sort/subset_source.c,
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.
Diffstat (limited to 'gsl-1.9/integration/test.c')
| -rw-r--r-- | gsl-1.9/integration/test.c | 2105 |
1 files changed, 2105 insertions, 0 deletions
diff --git a/gsl-1.9/integration/test.c b/gsl-1.9/integration/test.c new file mode 100644 index 0000000..e5b6981 --- /dev/null +++ b/gsl-1.9/integration/test.c @@ -0,0 +1,2105 @@ +/* integration/test.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Brian Gough + * + * 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. + */ + +#include <config.h> +#include <stdlib.h> +#include <stdio.h> +#include <math.h> +#include <gsl/gsl_math.h> +#include <gsl/gsl_integration.h> +#include <gsl/gsl_errno.h> +#include <gsl/gsl_test.h> +#include <gsl/gsl_ieee_utils.h> + +#include "tests.h" + +gsl_function make_function (double (* f) (double, void *), double * p); + +gsl_function make_function (double (* f) (double, void *), double * p) +{ + gsl_function f_new; + + f_new.function = f ; + f_new.params = p ; + + return f_new; +} + +struct counter_params { + gsl_function * f; + int neval; +} ; + +double counter (double x, void * params); +gsl_function make_counter (gsl_function * f, struct counter_params * p); + +double +counter (double x, void * params) +{ + struct counter_params * p = (struct counter_params *) params; + p->neval++ ; /* increment counter */ + return GSL_FN_EVAL(p->f, x); +} + +gsl_function make_counter (gsl_function * f, struct counter_params * p) +{ + gsl_function f_new; + + p->f = f; + p->neval = 0 ; + + f_new.function = &counter ; + f_new.params = p ; + + return f_new; +} + +void my_error_handler (const char *reason, const char *file, + int line, int err); + +int main (void) +{ + gsl_ieee_env_setup (); + gsl_set_error_handler (&my_error_handler); + + /* Test the basic Gauss-Kronrod rules with a smooth positive function. */ + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 7.716049357767090777E-02; + double exp_abserr = 2.990224871000550874E-06; + double exp_resabs = 7.716049357767090777E-02; + double exp_resasc = 4.434273814139995384E-02; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha) ; + + gsl_integration_qk15 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk15(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk15(f1) smooth abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk15(f1) smooth resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk15(f1) smooth resasc") ; + + gsl_integration_qk15 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + + gsl_test_rel(result,-exp_result,1e-15,"qk15(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk15(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk15(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk15(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 7.716049379303084599E-02; + double exp_abserr = 9.424302194248481445E-08; + double exp_resabs = 7.716049379303084599E-02; + double exp_resasc = 4.434311425038358484E-02; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk21 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk21(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk21(f1) smooth abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk21(f1) smooth resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk21(f1) smooth resasc") ; + + gsl_integration_qk21 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk21(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk21(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk21(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk21(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 7.716049382494900855E-02; + double exp_abserr = 1.713503193600029893E-09; + double exp_resabs = 7.716049382494900855E-02; + double exp_resasc = 4.427995051868838933E-02; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk31 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk31(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk31(f1) smooth abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk31(f1) smooth resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk31(f1) smooth resasc") ; + + gsl_integration_qk31 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk31(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk31(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk31(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk31(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 7.716049382681375302E-02; + double exp_abserr = 9.576386660975511224E-11; + double exp_resabs = 7.716049382681375302E-02; + double exp_resasc = 4.421521169637691873E-02; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk41 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk41(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk41(f1) smooth abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk41(f1) smooth resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk41(f1) smooth resasc") ; + + gsl_integration_qk41 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk41(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk41(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk41(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk41(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 7.716049382708510540E-02; + double exp_abserr = 1.002079980317363772E-11; + double exp_resabs = 7.716049382708510540E-02; + double exp_resasc = 4.416474291216854892E-02; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk51 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk51(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qk51(f1) smooth abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk51(f1) smooth resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk51(f1) smooth resasc") ; + + gsl_integration_qk51 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk51(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qk51(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk51(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk51(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 7.716049382713800753E-02; + double exp_abserr = 1.566060362296155616E-12; + double exp_resabs = 7.716049382713800753E-02; + double exp_resasc = 4.419287685934316506E-02; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk61 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk61(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qk61(f1) smooth abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk61(f1) smooth resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk61(f1) smooth resasc") ; + + gsl_integration_qk61 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk61(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qk61(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk61(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk61(f1) reverse resasc") ; + } + + /* Now test the basic rules with a positive function that has a + singularity. This should give large values of abserr which would + find discrepancies in the abserr calculation. */ + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 1.555688196612745777E+01; + double exp_abserr = 2.350164577239293706E+01; + double exp_resabs = 1.555688196612745777E+01; + double exp_resasc = 2.350164577239293706E+01; + + double alpha = -0.9 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk15 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk15(f1) singular result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk15(f1) singular abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk15(f1) singular resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk15(f1) singular resasc") ; + + gsl_integration_qk15 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk15(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk15(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk15(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk15(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 1.799045317938126232E+01; + double exp_abserr = 2.782360287710622515E+01; + double exp_resabs = 1.799045317938126232E+01; + double exp_resasc = 2.782360287710622515E+01; + + double alpha = -0.9 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk21 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk21(f1) singular result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk21(f1) singular abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk21(f1) singular resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk21(f1) singular resasc") ; + + gsl_integration_qk21 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk21(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk21(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk21(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk21(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 2.081873305159121657E+01; + double exp_abserr = 3.296500137482590276E+01; + double exp_resabs = 2.081873305159121301E+01; + double exp_resasc = 3.296500137482590276E+01; + + double alpha = -0.9 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk31 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk31(f1) singular result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk31(f1) singular abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk31(f1) singular resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk31(f1) singular resasc") ; + + gsl_integration_qk31 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk31(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk31(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk31(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk31(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 2.288677623903126701E+01; + double exp_abserr = 3.671538820274916048E+01; + double exp_resabs = 2.288677623903126701E+01; + double exp_resasc = 3.671538820274916048E+01; + + double alpha = -0.9 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk41 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk41(f1) singular result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk41(f1) singular abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk41(f1) singular resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk41(f1) singular resasc") ; + + gsl_integration_qk41 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk41(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk41(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk41(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk41(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 2.449953612016972215E+01; + double exp_abserr = 3.967771249391228849E+01; + double exp_resabs = 2.449953612016972215E+01; + double exp_resasc = 3.967771249391228849E+01; + + double alpha = -0.9 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk51 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk51(f1) singular result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk51(f1) singular abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk51(f1) singular resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk51(f1) singular resasc") ; + + gsl_integration_qk51 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk51(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk51(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk51(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk51(f1) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result = 2.583030240976628988E+01; + double exp_abserr = 4.213750493076978643E+01; + double exp_resabs = 2.583030240976628988E+01; + double exp_resasc = 4.213750493076978643E+01; + + double alpha = -0.9 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_integration_qk61 (&f, 0.0, 1.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk61(f1) singular result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk61(f1) singular abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk61(f1) singular resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk61(f1) singular resasc") ; + + gsl_integration_qk61 (&f, 1.0, 0.0, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk61(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk61(f1) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk61(f1) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk61(f1) reverse resasc") ; + } + + /* Test the basic Gauss-Kronrod rules with a smooth oscillating + function, over an unsymmetric range. This should find any + discrepancies in the abscissae. */ + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result =-7.238969575483799046E-01; + double exp_abserr = 8.760080200939757174E-06; + double exp_resabs = 1.165564172429140788E+00; + double exp_resasc = 9.334560307787327371E-01; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + gsl_integration_qk15 (&f, 0.3, 2.71, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk15(f3) oscill result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk15(f3) oscill abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk15(f3) oscill resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk15(f3) oscill resasc") ; + + gsl_integration_qk15 (&f, 2.71, 0.3, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk15(f3) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk15(f3) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk15(f3) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk15(f3) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result =-7.238969575482959717E-01; + double exp_abserr = 7.999213141433641888E-11; + double exp_resabs = 1.150829032708484023E+00; + double exp_resasc = 9.297591249133687619E-01; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + gsl_integration_qk21 (&f, 0.3, 2.71, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk21(f3) oscill result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qk21(f3) oscill abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk21(f3) oscill resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk21(f3) oscill resasc") ; + + gsl_integration_qk21 (&f, 2.71, 0.3, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk21(f3) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qk21(f3) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk21(f3) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk21(f3) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result =-7.238969575482959717E-01; + double exp_abserr = 1.285805464427459261E-14; + double exp_resabs = 1.158150602093290571E+00; + double exp_resasc = 9.277828092501518853E-01; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + gsl_integration_qk31 (&f, 0.3, 2.71, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk31(f3) oscill result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk31(f3) oscill abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk31(f3) oscill resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk31(f3) oscill resasc") ; + + gsl_integration_qk31 (&f, 2.71, 0.3, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk31(f3) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk31(f3) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk31(f3) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk31(f3) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result =-7.238969575482959717E-01; + double exp_abserr = 1.286535726271015626E-14; + double exp_resabs = 1.158808363486595328E+00; + double exp_resasc = 9.264382258645686985E-01; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + gsl_integration_qk41 (&f, 0.3, 2.71, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk41(f3) oscill result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk41(f3) oscill abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk41(f3) oscill resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk41(f3) oscill resasc") ; + + gsl_integration_qk41 (&f, 2.71, 0.3, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk41(f3) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk41(f3) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk41(f3) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk41(f3) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result =-7.238969575482961938E-01; + double exp_abserr = 1.285290995039385778E-14; + double exp_resabs = 1.157687209264406381E+00; + double exp_resasc = 9.264666884071264263E-01; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + gsl_integration_qk51 (&f, 0.3, 2.71, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk51(f3) oscill result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk51(f3) oscill abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk51(f3) oscill resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk51(f3) oscill resasc") ; + + gsl_integration_qk51 (&f, 2.71, 0.3, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk51(f3) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk51(f3) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk51(f3) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk51(f3) reverse resasc") ; + } + + { + double result = 0, abserr = 0, resabs = 0, resasc = 0 ; + double exp_result =-7.238969575482959717E-01; + double exp_abserr = 1.286438572027470736E-14; + double exp_resabs = 1.158720854723590099E+00; + double exp_resasc = 9.270469641771273972E-01; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + gsl_integration_qk61 (&f, 0.3, 2.71, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,exp_result,1e-15,"qk61(f3) oscill result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk61(f3) oscill abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk61(f3) oscill resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk61(f3) oscill resasc") ; + + gsl_integration_qk61 (&f, 2.71, 0.3, + &result, &abserr, &resabs, &resasc) ; + gsl_test_rel(result,-exp_result,1e-15,"qk61(f3) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qk61(f3) reverse abserr") ; + gsl_test_rel(resabs,exp_resabs,1e-15,"qk61(f3) reverse resabs") ; + gsl_test_rel(resasc,exp_resasc,1e-15,"qk61(f3) reverse resasc") ; + } + + /* Test the non-adaptive gaussian integrator QNG */ + + { + int status = 0; size_t neval = 0 ; + double result = 0, abserr = 0 ; + double exp_result = 7.716049379303083211E-02; + double exp_abserr = 9.424302199601294244E-08; + int exp_neval = 21; + int exp_ier = 0; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + status = gsl_integration_qng (&f, 0.0, 1.0, 1e-1, 0.0, + &result, &abserr, &neval) ; + gsl_test_rel(result,exp_result,1e-15,"qng(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f1) smooth abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f1) smooth neval") ; + gsl_test_int(status,exp_ier,"qng(f1) smooth status") ; + + status = gsl_integration_qng (&f, 1.0, 0.0, 1e-1, 0.0, + &result, &abserr, &neval) ; + gsl_test_rel(result,-exp_result,1e-15,"qng(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f1) reverse abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f1) reverse neval") ; + gsl_test_int(status,exp_ier,"qng(f1) reverse status") ; + } + + { + int status = 0; size_t neval = 0 ; + double result = 0, abserr = 0 ; + + double exp_result = 7.716049382706505200E-02; + double exp_abserr = 2.666893044866214501E-12; + int exp_neval = 43; + int exp_ier = 0; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + status = gsl_integration_qng (&f, 0.0, 1.0, 0.0, 1e-9, + &result, &abserr, &neval) ; + gsl_test_rel(result,exp_result,1e-15,"qng(f1) smooth 43pt result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qng(f1) smooth 43pt abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f1) smooth 43pt neval") ; + gsl_test_int(status,exp_ier,"qng(f1) smooth 43pt status") ; + + status = gsl_integration_qng (&f, 1.0, 0.0, 0.0, 1e-9, + &result, &abserr, &neval) ; + gsl_test_rel(result,-exp_result,1e-15,"qng(f1) reverse 43pt result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qng(f1) reverse 43pt abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f1) reverse 43pt neval") ; + gsl_test_int(status,exp_ier,"qng(f1) reverse 43pt status") ; + } + + { + int status; size_t neval = 0 ; + double result = 0, abserr = 0 ; + double exp_result =-7.238969575482961938E-01; + double exp_abserr = 1.277676889520056369E-14; + int exp_neval = 43; + int exp_ier = 0; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + status = gsl_integration_qng (&f, 0.3, 2.71, 0.0, 1e-12, + &result, &abserr, &neval) ; + gsl_test_rel(result,exp_result,1e-15,"qnq(f3) oscill result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f3) oscill abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f3) oscill neval") ; + gsl_test_int(status,exp_ier,"qng(f3) oscill status") ; + + status = gsl_integration_qng (&f, 2.71, 0.3, 0.0, 1e-12, + &result, &abserr, &neval) ; + gsl_test_rel(result,-exp_result,1e-15,"qnq(f3) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f3) reverse abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f3) reverse neval") ; + gsl_test_int(status,exp_ier,"qng(f3) reverse status") ; + } + + { + int status = 0; size_t neval = 0 ; + double result = 0, abserr = 0 ; + + double exp_result = 7.716049382716029525E-02; + double exp_abserr = 8.566535680046930668E-16; + int exp_neval = 87; + int exp_ier = 0; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + status = gsl_integration_qng (&f, 0.0, 1.0, 0.0, 1e-13, + &result, &abserr, &neval) ; + gsl_test_rel(result,exp_result,1e-15,"qng(f1) 87pt smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f1) 87pt smooth abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f1) 87pt smooth neval") ; + gsl_test_int(status,exp_ier,"qng(f1) 87pt smooth status") ; + + status = gsl_integration_qng (&f, 1.0, 0.0, 0.0, 1e-13, + &result, &abserr, &neval) ; + gsl_test_rel(result,-exp_result,1e-15,"qng(f1) 87pt reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f1) 87pt reverse abserr") ; + gsl_test_int((int)neval,exp_neval,"qng(f1) 87pt reverse neval") ; + gsl_test_int(status,exp_ier,"qng(f1) 87pt reverse status") ; + } + + { + int status = 0; size_t neval = 0 ; + double result = 0, abserr = 0 ; + + double exp_result = 3.222948711817264211E+01; + double exp_abserr = 2.782360287710622870E+01; + int exp_neval = 87; + int exp_ier = GSL_ETOL; + + double alpha = -0.9 ; + gsl_function f = make_function(&f1, &alpha); + + status = gsl_integration_qng (&f, 0.0, 1.0, 0.0, 1e-3, + &result, &abserr, &neval) ; + gsl_test_rel(result,exp_result,1e-15,"qng(f1) sing beyond 87pt result"); + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f1) sing beyond 87pt abserr"); + gsl_test_int((int)neval,exp_neval,"qng(f1) sing beyond 87pt neval") ; + gsl_test_int(status,exp_ier,"qng(f1) sing beyond 87pt status") ; + + status = gsl_integration_qng (&f, 1.0, 0.0, 0.0, 1e-3, + &result, &abserr, &neval) ; + gsl_test_rel(result,-exp_result,1e-15,"qng(f1) reverse beyond 87pt result"); + gsl_test_rel(abserr,exp_abserr,1e-7,"qng(f1) rev beyond 87pt abserr"); + gsl_test_int((int)neval,exp_neval,"qng(f1) rev beyond 87pt neval") ; + gsl_test_int(status,exp_ier,"qng(f1) rev beyond 87pt status") ; + } + + /* Test the adaptive integrator QAG */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + double exp_result = 7.716049382715854665E-02 ; + double exp_abserr = 6.679384885865053037E-12 ; + int exp_neval = 165; + int exp_ier = 0; + int exp_last = 6; + + double a[6] = { 0, 0.5, 0.25, 0.125, 0.0625, 0.03125 } ; + double b[6] = { 0.03125, 1, 0.5, 0.25, 0.125, 0.0625 } ; + double r[6] = { 3.966769831709074375E-06, 5.491842501998222409E-02, + 1.909827770934243926E-02, 2.776531175604360531E-03, + 3.280661030752063693E-04, 3.522704932261797744E-05 } ; + double e[6] = { 6.678528276336181873E-12, 6.097169993333454062E-16, + 2.120334764359736934E-16, 3.082568839745514608E-17, + 3.642265412331439511E-18, 3.910988124757650942E-19 } ; + int order[6] = { 1, 2, 3, 4, 5, 6 } ; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha) ; + + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qag (&fc, 0.0, 1.0, 0.0, 1e-10, w->limit, + GSL_INTEG_GAUSS15, w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-15,"qag(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f1) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qag(f1) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f1) smooth last") ; + gsl_test_int(status,exp_ier,"qag(f1) smooth status") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qag(f1) smooth alist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qag(f1) smooth blist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qag(f1) smooth rlist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-6,"qag(f1) smooth elist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qag(f1) smooth order") ; + + p.neval = 0; + + status = gsl_integration_qag (&fc, 1.0, 0.0, 0.0, 1e-10, w->limit, + GSL_INTEG_GAUSS15, w, + &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-15,"qag(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f1) reverse abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qag(f1) reverse neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f1) reverse last") ; + gsl_test_int(status,exp_ier,"qag(f1) reverse status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Test the same function using an absolute error bound and the + 21-point rule */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + double exp_result = 7.716049382716050342E-02 ; + double exp_abserr = 2.227969521869139532E-15 ; + int exp_neval = 315; + int exp_ier = 0; + int exp_last = 8; + + double a[8] = { 0, 0.5, 0.25, 0.125, 0.0625, 0.03125, 0.015625, + 0.0078125 } ; + double b[8] = { 0.0078125, 1, 0.5, 0.25, 0.125, 0.0625, 0.03125, + 0.015625 } ; + double r[8] = { 3.696942726831556522E-08, 5.491842501998223103E-02, + 1.909827770934243579E-02, 2.776531175604360097E-03, + 3.280661030752062609E-04, 3.522704932261797744E-05, + 3.579060884684503576E-06, 3.507395216921808047E-07 } ; + double e[8] = { 1.371316364034059572E-15, 6.097169993333454062E-16, + 2.120334764359736441E-16, 3.082568839745514608E-17, + 3.642265412331439511E-18, 3.910988124757650460E-19, + 3.973555800712018091E-20, 3.893990926286736620E-21 } ; + int order[8] = { 1, 2, 3, 4, 5, 6, 7, 8 } ; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qag (&fc, 0.0, 1.0, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS21, w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-15,"qag(f1,21pt) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f1,21pt) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qag(f1,21pt) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f1,21pt) smooth last") ; + gsl_test_int(status,exp_ier,"qag(f1,21pt) smooth status") ; + + for (i = 0; i < 8 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qag(f1,21pt) smooth alist") ; + + for (i = 0; i < 8 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qag(f1,21pt) smooth blist") ; + + for (i = 0; i < 8 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qag(f1,21pt) smooth rlist") ; + + for (i = 0; i < 8 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-6,"qag(f1,21pt) smooth elist") ; + + for (i = 0; i < 8 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qag(f1,21pt) smooth order"); + + + p.neval = 0; + status = gsl_integration_qag (&fc, 1.0, 0.0, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS21, w, + &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-15,"qag(f1,21pt) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f1,21pt) reverse abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qag(f1,21pt) reverse neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f1,21pt) reverse last") ; + gsl_test_int(status,exp_ier,"qag(f1,21pt) reverse status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Adaptive integration of an oscillatory function which terminates because + of roundoff error, uses the 31-pt rule */ + + { + int status = 0; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + double exp_result = -7.238969575482959717E-01; + double exp_abserr = 1.285805464427459261E-14; + int exp_neval = 31; + int exp_ier = GSL_EROUND; + int exp_last = 1; + + double alpha = 1.3 ; + gsl_function f = make_function(&f3, &alpha); + + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qag (&fc, 0.3, 2.71, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS31, w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-15,"qag(f3,31pt) oscill result"); + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f3,31pt) oscill abserr"); + gsl_test_int((int)(p.neval),exp_neval,"qag(f3,31pt) oscill neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f3,31pt) oscill last") ; + gsl_test_int(status,exp_ier,"qag(f3,31pt) oscill status") ; + + p.neval = 0; + status = gsl_integration_qag (&fc, 2.71, 0.3, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS31, w, + &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-15,"qag(f3,31pt) reverse result"); + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f3,31pt) reverse abserr"); + gsl_test_int((int)(p.neval),exp_neval,"qag(f3,31pt) reverse neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f3,31pt) reverse last") ; + gsl_test_int(status,exp_ier,"qag(f3,31pt) reverse status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Check the singularity detection (singularity at x=-0.1 in this example) */ + + { + int status = 0; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + int exp_neval = 5151; + int exp_ier = GSL_ESING; + int exp_last = 51; + + double alpha = 2.0 ; + gsl_function f = make_function(&f16, &alpha); + + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qag (&fc, -1.0, 1.0, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS51, w, + &result, &abserr) ; + + gsl_test_int((int)(p.neval),exp_neval,"qag(f16,51pt) sing neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f16,51pt) sing last") ; + gsl_test_int(status,exp_ier,"qag(f16,51pt) sing status") ; + + p.neval = 0; + status = gsl_integration_qag (&fc, 1.0, -1.0, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS51, w, + &result, &abserr) ; + + gsl_test_int((int)(p.neval),exp_neval,"qag(f16,51pt) rev neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f16,51pt) rev last") ; + gsl_test_int(status,exp_ier,"qag(f16,51pt) rev status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Check for hitting the iteration limit */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (3) ; + + double exp_result = 9.565151449233894709 ; + double exp_abserr = 1.570369823891028460E+01; + int exp_neval = 305; + int exp_ier = GSL_EMAXITER; + int exp_last = 3; + + double a[3] = { -5.000000000000000000E-01, + 0.000000000000000000, + -1.000000000000000000 } ; + + double b[3] = { 0.000000000000000000, + 1.000000000000000000, + -5.000000000000000000E-01 } ; + + double r[3] = { 9.460353469435913709, + 9.090909090909091161E-02, + 1.388888888888888812E-02 } ; + + double e[3] = { 1.570369823891028460E+01, + 1.009293658750142399E-15, + 1.541976423090495140E-16 } ; + + int order[3] = { 1, 2, 3 } ; + + double alpha = 1.0 ; + gsl_function f = make_function(&f16, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qag (&fc, -1.0, 1.0, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS61, w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-15,"qag(f16,61pt) limit result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f16,61pt) limit abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qag(f16,61pt) limit neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f16,61pt) limit last") ; + gsl_test_int(status,exp_ier,"qag(f16,61pt) limit status") ; + + for (i = 0; i < 3 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qag(f16,61pt) limit alist") ; + + for (i = 0; i < 3 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qag(f16,61pt) limit blist") ; + + for (i = 0; i < 3 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qag(f16,61pt) limit rlist") ; + + for (i = 0; i < 3 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-6,"qag(f16,61pt) limit elist") ; + + for (i = 0; i < 3 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qag(f16,61pt) limit order"); + + p.neval = 0; + status = gsl_integration_qag (&fc, 1.0, -1.0, 1e-14, 0.0, w->limit, + GSL_INTEG_GAUSS61, w, + &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-15,"qag(f16,61pt) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qag(f16,61pt) reverse abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qag(f16,61pt) reverse neval") ; + gsl_test_int((int)(w->size),exp_last,"qag(f16,61pt) reverse last") ; + gsl_test_int(status,exp_ier,"qag(f16,61pt) reverse status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Test the adaptive integrator with extrapolation QAGS */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + double exp_result = 7.716049382715789440E-02 ; + double exp_abserr = 2.216394961010438404E-12 ; + int exp_neval = 189; + int exp_ier = 0; + int exp_last = 5; + + double a[5] = { 0, 0.5, 0.25, 0.125, 0.0625 } ; + double b[5] = { 0.0625, 1, 0.5, 0.25, 0.125 } ; + double r[5] = { 3.919381915366914693E-05, + 5.491842501998223103E-02, + 1.909827770934243579E-02, + 2.776531175604360097E-03, + 3.280661030752062609E-04 } ; + double e[5] = { 2.215538742580964735E-12, + 6.097169993333454062E-16, + 2.120334764359736441E-16, + 3.082568839745514608E-17, + 3.642265412331439511E-18 } ; + int order[5] = { 1, 2, 3, 4, 5 } ; + + double alpha = 2.6 ; + gsl_function f = make_function(&f1, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qags (&fc, 0.0, 1.0, 0.0, 1e-10, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-15,"qags(f1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qags(f1) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qags(f1) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qags(f1) smooth last") ; + gsl_test_int(status,exp_ier,"qags(f1) smooth status") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qags(f1) smooth alist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qags(f1) smooth blist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qags(f1) smooth rlist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-6,"qags(f1) smooth elist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qags(f1) smooth order") ; + + p.neval = 0; + status = gsl_integration_qags (&fc, 1.0, 0.0, 0.0, 1e-10, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-15,"qags(f1) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qags(f1) reverse abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qags(f1) reverse neval") ; + gsl_test_int((int)(w->size),exp_last,"qags(f1) reverse last") ; + gsl_test_int(status,exp_ier,"qags(f1) reverse status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Test f11 using an absolute error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = -5.908755278982136588E+03 ; + double exp_abserr = 1.299646281053874554E-10 ; + int exp_neval = 357; + int exp_ier = 0; + int exp_last = 9; + + double a[9] = { 1.000000000000000000E+00, + 5.005000000000000000E+02, + 2.507500000000000000E+02, + 1.258750000000000000E+02, + 6.343750000000000000E+01, + 3.221875000000000000E+01, + 1.660937500000000000E+01, + 8.804687500000000000E+00, + 4.902343750000000000E+00 } ; + double b[9] = { 4.902343750000000000E+00, + 1.000000000000000000E+03, + 5.005000000000000000E+02, + 2.507500000000000000E+02, + 1.258750000000000000E+02, + 6.343750000000000000E+01, + 3.221875000000000000E+01, + 1.660937500000000000E+01, + 8.804687500000000000E+00 } ; + double r[9] = { -3.890977835520834649E+00, + -3.297343675805121620E+03, + -1.475904154146372775E+03, + -6.517404019686431411E+02, + -2.829354222635842007E+02, + -1.201692001973227519E+02, + -4.959999906099650246E+01, + -1.971441499411640308E+01, + -7.457032710459004399E+00 } ; + double e[9] = { 6.448276035006137169E-11, + 3.660786868980994028E-11, + 1.638582774073219226E-11, + 7.235772003440423011E-12, + 3.141214202790722909E-12, + 1.334146129098576244E-12, + 5.506706097890446534E-13, + 2.188739744348345039E-13, + 8.278969410534525339E-14 } ; + int order[9] = { 1, 2, 3, 4, 5, 6, 7, 8, 9 } ; + + double alpha = 2.0 ; + gsl_function f = make_function(&f11, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qags (&fc, 1.0, 1000.0, 1e-7, 0.0, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-15,"qags(f11) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-3,"qags(f11) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qags(f11) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qags(f11) smooth last") ; + gsl_test_int(status,exp_ier,"qags(f11) smooth status") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qags(f11) smooth alist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qags(f11) smooth blist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qags(f11) smooth rlist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-5,"qags(f11) smooth elist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qags(f11) smooth order"); + + p.neval = 0; + status = gsl_integration_qags (&fc, 1000.0, 1.0, 1e-7, 0.0, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-15,"qags(f11) reverse result") ; + gsl_test_rel(abserr,exp_abserr,1e-3,"qags(f11) reverse abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qags(f11) reverse neval") ; + gsl_test_int((int)(w->size),exp_last,"qags(f11) reverse last") ; + gsl_test_int(status,exp_ier,"qags(f11) reverse status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Test infinite range integral f455 using a relative error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = -3.616892186127022568E-01 ; + double exp_abserr = 3.016716913328831851E-06; + int exp_neval = 285; + int exp_ier = 0; + int exp_last = 10; + + double a[10] = { 9.687500000000000000E-01, + 0.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 7.500000000000000000E-01, + 1.250000000000000000E-01, + 8.750000000000000000E-01, + 6.250000000000000000E-02, + 9.375000000000000000E-01, + 3.125000000000000000E-02 } ; + double b[10] = { 1.000000000000000000E+00, + 3.125000000000000000E-02, + 7.500000000000000000E-01, + 5.000000000000000000E-01, + 8.750000000000000000E-01, + 2.500000000000000000E-01, + 9.375000000000000000E-01, + 1.250000000000000000E-01, + 9.687500000000000000E-01, + 6.250000000000000000E-02 } ; + double r[10] = { -1.390003415539725340E-01, + 1.429785306003466313E-03, + -1.229943369113085765E-02, + 2.995321156568048898E-03, + -4.980050133751051655E-02, + 2.785385934678596704E-03, + -8.653752279614615461E-02, + 1.736218164975512294E-03, + -8.398745675010892142E-02, + 1.041689192004495576E-03 } ; + double e[10] = { 2.395037249893453013E-02, + 2.161214992172538524E-04, + 5.720644840858777846E-14, + 3.325474514168701167E-17, + 3.147380432198176412E-14, + 3.092399597147240624E-17, + 9.607595030230581153E-16, + 1.927589382528252344E-17, + 9.324480826368044019E-16, + 1.156507325466566521E-17 } ; + int order[10] = { 1, 2, 3, 5, 7, 9, 4, 6, 8, 10 } ; + + gsl_function f = make_function(&f455, 0); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qagiu (&fc, 0.0, 0.0, 1.0e-3, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qagiu(f455) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qagiu(f455) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qagiu(f455) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qagiu(f455) smooth last") ; + gsl_test_int(status,exp_ier,"qagiu(f455) smooth status") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qagiu(f455) smooth alist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qagiu(f455) smooth blist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qagiu(f455) smooth rlist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-4,"qagiu(f455) smooth elist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qagiu(f455) smooth order"); + + gsl_integration_workspace_free (w) ; + + } + + /* Test infinite range integral f15 using a relative error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = 6.553600000000024738E+04; + double exp_abserr = 7.121667111456009280E-04; + int exp_neval = 285; + int exp_ier = 0; + int exp_last = 10; + + double a[10] = { 0.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02, + 3.125000000000000000E-02, + 1.562500000000000000E-02, + 7.812500000000000000E-03, + 3.906250000000000000E-03, + 1.953125000000000000E-03 } ; + double b[10] = { 1.953125000000000000E-03, + 1.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02, + 3.125000000000000000E-02, + 1.562500000000000000E-02, + 7.812500000000000000E-03, + 3.906250000000000000E-03 } ; + double r[10] = { 1.099297665754340292E+00, + 3.256176475185617591E-01, + 8.064694554185326325E+00, + 8.873128656118993263E+01, + 6.977679035845269482E+02, + 4.096981198511257389E+03, + 1.574317583220441520E+04, + 2.899418134793237914E+04, + 1.498314766425578091E+04, + 9.225251570832365360E+02 } ; + double e[10] = { 7.101865971621337814E-04, + 1.912660677170175771E-08, + 9.167763417119923333E-08, + 3.769501719163865578E-07, + 6.973493131275552509E-07, + 1.205653952340679711E-07, + 1.380003928453846583E-07, + 1.934652413547325474E-07, + 3.408933028357320364E-07, + 2.132473175465897029E-09 } ; + int order[10] = { 1, 5, 4, 9, 8, 7, 6, 3, 2, 10 } ; + + double alpha = 5.0; + + gsl_function f = make_function(&f15, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qagiu (&fc, 0.0, 0.0, 1.0e-7, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qagiu(f15) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qagiu(f15) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qagiu(f15) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qagiu(f15) smooth last") ; + gsl_test_int(status,exp_ier,"qagiu(f15) smooth status") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qagiu(f15) smooth alist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qagiu(f15) smooth blist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qagiu(f15) smooth rlist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-4,"qagiu(f15) smooth elist") ; + + for (i = 0; i < 10 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qagiu(f15) smooth order"); + + gsl_integration_workspace_free (w) ; + + } + + /* Test infinite range integral f16 using an absolute error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = 1.000000000006713292E-04; + double exp_abserr = 3.084062020905636316E-09; + int exp_neval = 165; + int exp_ier = 0; + int exp_last = 6; + + double a[6] = { 0.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02, + 3.125000000000000000E-02 } ; + double b[6] = { 3.125000000000000000E-02, + 1.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02 } ; + double r[6] = { 7.633587786326674618E-05, + 9.900990099009899620E-07, + 1.922522349322310737E-06, + 3.629434715543053753E-06, + 6.501422186103209199E-06, + 1.062064387653501389E-05 } ; + double e[6] = { 3.084061858351569051E-09, + 3.112064814755089674E-17, + 4.543453652226561245E-17, + 4.908618166361344548E-17, + 3.014338672269481784E-17, + 6.795996738013555461E-18 } ; + int order[6] = { 1, 4, 3, 2, 5, 6 } ; + + double alpha = 1.0; + + gsl_function f = make_function(&f16, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qagiu (&fc, 99.9, 1.0e-7, 0.0, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qagiu(f16) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qagiu(f16) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qagiu(f16) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qagiu(f16) smooth last") ; + gsl_test_int(status,exp_ier,"qagiu(f16) smooth status") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qagiu(f16) smooth alist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qagiu(f16) smooth blist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-15,"qagiu(f16) smooth rlist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-4,"qagiu(f16) smooth elist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qagiu(f16) smooth order"); + + gsl_integration_workspace_free (w) ; + + } + + /* Test infinite range integral myfn1 using an absolute error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = 2.275875794468747770E+00; + double exp_abserr = 7.436490118267390744E-09; + int exp_neval = 270; + int exp_ier = 0; + int exp_last = 5; + + double a[5] = { 1.250000000000000000E-01, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 0.000000000000000000E+00, + 3.750000000000000000E-01 } ; + double b[5] = { 2.500000000000000000E-01, + 1.000000000000000000E+00, + 3.750000000000000000E-01, + 1.250000000000000000E-01, + 5.000000000000000000E-01 } ; + double r[5] = { 4.639317228058405717E-04, + 1.691664195356748834E+00, + 1.146307471900291086E-01, + 4.379392477350953574E-20, + 4.691169201991640669E-01 } ; + double e[5] = { 3.169263960393051137E-09, + 4.265988974874425043E-09, + 1.231954072964969637E-12, + 8.360902986775307673E-20, + 5.208244060463541433E-15 } ; + int order[5] = { 2, 1, 3, 5, 4 } ; + + gsl_function f = make_function(&myfn1, 0); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qagi (&fc, 1.0e-7, 0.0, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qagiu(myfn1) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qagiu(myfn1) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qagiu(myfn1) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qagiu(myfn1) smooth last") ; + gsl_test_int(status,exp_ier,"qagiu(myfn1) smooth status") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qagiu(myfn1) smooth alist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qagiu(myfn1) smooth blist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-14,"qagiu(myfn1) smooth rlist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-4,"qagiu(myfn1) smooth elist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qagiu(myfn1) smooth order"); + + gsl_integration_workspace_free (w) ; + + } + + /* Test infinite range integral myfn1 using an absolute error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = 2.718281828459044647E+00; + double exp_abserr = 1.588185109253204805E-10; + int exp_neval = 135; + int exp_ier = 0; + int exp_last = 5; + + double a[5] = { 0.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02 } ; + double b[5] = { 6.250000000000000000E-02, + 1.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01 } ; + double r[5] = { 8.315287189746029816E-07, + 1.718281828459045091E+00, + 8.646647167633871867E-01, + 1.328565310599463256E-01, + 2.477920647947255521E-03 } ; + double e[5] = { 1.533437090413525935E-10, + 4.117868247943567505E-12, + 7.802455785301941044E-13, + 5.395586026138397182E-13, + 3.713312434866150125E-14 } ; + int order[5] = { 1, 2, 3, 4, 5 } ; + + double alpha = 1.0 ; + gsl_function f = make_function(&myfn2, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qagil (&fc, 1.0, 1.0e-7, 0.0, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qagiu(myfn2) smooth result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qagiu(myfn2) smooth abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qagiu(myfn2) smooth neval") ; + gsl_test_int((int)(w->size),exp_last,"qagiu(myfn2) smooth last") ; + gsl_test_int(status,exp_ier,"qagiu(myfn2) smooth status") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qagiu(myfn2) smooth alist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qagiu(myfn2) smooth blist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-14,"qagiu(myfn2) smooth rlist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-4,"qagiu(myfn2) smooth elist") ; + + for (i = 0; i < 5 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qagiu(myfn2) smooth order"); + + gsl_integration_workspace_free (w) ; + + } + + /* Test integral f454 with integrable singular points */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = 5.274080611672716401E+01; + double exp_abserr = 1.755703848687062418E-04; + int exp_neval = 777; + int exp_ier = 0; + int exp_last = 20; + + double a[20] = { 9.687500000000000000E-01, + 1.401269388548935790E+00, + 1.414213562373095145E+00, + 1.000000000000000000E+00, + 0.000000000000000000E+00, + 2.207106781186547462E+00, + 1.810660171779821415E+00, + 1.207106781186547462E+00, + 5.000000000000000000E-01, + 1.103553390593273731E+00, + 1.612436867076458391E+00, + 1.310660171779821415E+00, + 7.500000000000000000E-01, + 1.051776695296636976E+00, + 1.513325214724776657E+00, + 1.362436867076458391E+00, + 8.750000000000000000E-01, + 1.463769388548935790E+00, + 1.388325214724776657E+00, + 9.375000000000000000E-01} ; + double b[20] = { 1.000000000000000000E+00, + 1.414213562373095145E+00, + 1.463769388548935790E+00, + 1.051776695296636976E+00, + 5.000000000000000000E-01, + 3.000000000000000000E+00, + 2.207106781186547462E+00, + 1.310660171779821415E+00, + 7.500000000000000000E-01, + 1.207106781186547462E+00, + 1.810660171779821415E+00, + 1.362436867076458391E+00, + 8.750000000000000000E-01, + 1.103553390593273731E+00, + 1.612436867076458391E+00, + 1.388325214724776657E+00, + 9.375000000000000000E-01, + 1.513325214724776657E+00, + 1.401269388548935790E+00, + 9.687500000000000000E-01} ; + double r[20] = { -1.125078814079027711E-01, + -1.565132123531515207E-01, + -4.225328513207429193E-01, + -1.830392049835374568E-01, + 6.575875041899758092E-03, + 4.873920540843067783E+01, + 6.032891565603589079E+00, + -2.991531901645863023E-01, + -7.326282608704996063E-03, + -2.431894410706912923E-01, + 5.911661670635662835E-01, + -2.236786562536174916E-01, + -5.647871991778510847E-02, + -1.305470403178642658E-01, + -1.721363984401322045E-01, + -1.589345454585119055E-01, + -7.406626263352669715E-02, + -2.208730668000830344E-01, + -1.048692749517999567E-01, + -6.302287584527696551E-02} ; + double e[20] = { 2.506431410088378817E-02, + 2.730454695485963826E-02, + 1.017446081816190118E-01, + 3.252808038935910834E-02, + 7.300687878575027348E-17, + 5.411138804637469780E-13, + 6.697855121200013106E-14, + 3.321267596107916554E-15, + 1.417509685426979386E-16, + 2.699945168224041491E-15, + 6.573952690524728748E-15, + 2.483331942899818875E-15, + 6.270397525408045936E-16, + 1.449363299575615261E-15, + 1.911097929242846383E-15, + 1.764527917763735212E-15, + 8.223007012367522077E-16, + 2.452183642810224359E-15, + 1.164282836272345215E-15, + 6.996944784151910810E-16} ; + int order[20] = { 3, 4, 2, 1, 6, 7, 11, 8, 10, 12, 18, + 15, 16, 14, 19, 17, 20, 13, 9, 5 } ; + + gsl_function f = make_function(&f454, 0); + gsl_function fc = make_counter(&f, &p) ; + + double pts[4] ; + + pts[0] = 0.0; + pts[1] = 1.0; + pts[2] = sqrt(2.0); + pts[3] = 3.0; + + status = gsl_integration_qagp (&fc, pts, 4, + 0.0, 1.0e-3, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qagp(f454) singular result") ; + gsl_test_rel(abserr,exp_abserr,1e-5,"qagp(f454) singular abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qagp(f454) singular neval") ; + gsl_test_int((int)(w->size),exp_last,"qagp(f454) singular last") ; + gsl_test_int(status,exp_ier,"qagp(f454) singular status") ; + + for (i = 0; i < 20 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qagp(f454) singular alist") ; + + for (i = 0; i < 20 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qagp(f454) singular blist") ; + + for (i = 0; i < 20 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-14,"qagp(f454) singular rlist") ; + + for (i = 0; i < 20 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-4,"qagp(f454) singular elist") ; + + for (i = 0; i < 20 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qagp(f454) singular order"); + + gsl_integration_workspace_free (w) ; + + } + + + /* Test cauchy integration using a relative error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = -8.994400695837000137E-02; + double exp_abserr = 1.185290176227023727E-06; + int exp_neval = 215; + int exp_ier = 0; + int exp_last = 6; + + double a[6] = { -1.000000000000000000E+00, + 2.500000000000000000E+00, + 1.250000000000000000E+00, + 6.250000000000000000E-01, + -5.000000000000000000E-01, + -7.500000000000000000E-01} ; + double b[6] = { -7.500000000000000000E-01, + 5.000000000000000000E+00, + 2.500000000000000000E+00, + 1.250000000000000000E+00, + 6.250000000000000000E-01, + -5.000000000000000000E-01} ; + double r[6] = { -1.234231128040012976E-01, + 3.579970394639702888E-03, + 2.249831615049339983E-02, + 7.214232992127905808E-02, + 2.079093855884046535E-02, + -8.553244917962132821E-02} ; + double e[6] = { 1.172832717970022565E-06, + 9.018232896137375412E-13, + 1.815172652101790755E-12, + 1.006998195150956048E-13, + 1.245463873006391609E-08, + 1.833082948207153514E-15 } ; + int order[6] = { 1, 5, 3, 2, 4, 6 } ; + + double alpha = 1.0 ; + gsl_function f = make_function(&f459, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qawc (&fc, -1.0, 5.0, 0.0, 0.0, 1.0e-3, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qawc(f459) result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qawc(f459) abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qawc(f459) neval") ; + gsl_test_int((int)(w->size),exp_last,"qawc(f459) last") ; + gsl_test_int(status,exp_ier,"qawc(f459) status") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qawc(f459) alist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qawc(f459) blist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-14,"qawc(f459) rlist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-5,"qawc(f459) elist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qawc(f459) order"); + + p.neval = 0; + status = gsl_integration_qawc (&fc, 5.0, -1.0, 0.0, 0.0, 1.0e-3, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-14,"qawc(f459) rev result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qawc(f459) rev abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qawc(f459) rev neval") ; + gsl_test_int((int)(w->size),exp_last,"qawc(f459) rev last") ; + gsl_test_int(status,exp_ier,"qawc(f459) rev status") ; + + gsl_integration_workspace_free (w) ; + + } + + /* Test QAWS singular integration using a relative error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_qaws_table * t + = gsl_integration_qaws_table_alloc (0.0, 0.0, 1, 0); + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = -1.892751853489401670E-01; + double exp_abserr = 1.129133712015747658E-08; + int exp_neval = 280; + int exp_ier = 0; + int exp_last = 8; + + double a[8] = { 0.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02, + 3.125000000000000000E-02, + 1.562500000000000000E-02, + 7.812500000000000000E-03} ; + double b[8] = { 7.812500000000000000E-03, + 1.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02, + 3.125000000000000000E-02, + 1.562500000000000000E-02} ; + double r[8] = { -4.126317299834445824E-05, + -1.076283950172247789E-01, + -6.240573216173390947E-02, + -1.456169844189576269E-02, + -3.408925115926728436E-03, + -8.914083918175634211E-04, + -2.574191402137795482E-04, + -8.034390712936630608E-05} ; + double e[8] = { 1.129099387465713953E-08, + 3.423394967694403596E-13, + 6.928428071454762659E-16, + 1.616673288784094320E-16, + 3.784667152924835070E-17, + 9.896621209399419425E-18, + 2.857926564445496100E-18, + 8.919965558336773736E-19} ; + int order[8] = { 1, 2, 3, 4, 5, 6, 7, 8 } ; + + double alpha = 1.0 ; + gsl_function f = make_function(&f458, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qaws (&fc, 0.0, 1.0, t, 0.0, 1.0e-7, w->limit, + w, + &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qaws(f458) ln(x-a) result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qaws(f458) ln(x-a) abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qaws(f458) ln(x-a) neval") ; + gsl_test_int((int)(w->size),exp_last,"qaws(f458) ln(x-a) last") ; + gsl_test_int(status,exp_ier,"qaws(f458) ln(x-a) status") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qaws(f458) ln(x-a) alist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qaws(f458) ln(x-a) blist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-14,"qaws(f458) ln(x-a) rlist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-4,"qaws(f458) ln(x-a) elist") ; + + for (i = 0; i < 6 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qaws(f458) ln(x-a) order"); + + /* Test without logs */ + + gsl_integration_qaws_table_set (t, -0.5, -0.3, 0, 0); + + status = gsl_integration_qaws (&fc, 0.0, 1.0, t, 0.0, 1.0e-7, w->limit, + w, &result, &abserr) ; + + exp_result = 9.896686656601706433E-01; + exp_abserr = 5.888032513201251628E-08; + + gsl_test_rel(result,exp_result,1e-14,"qaws(f458) AB result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qaws(f458) AB abserr") ; + + /* Test with ln(x - a) */ + + gsl_integration_qaws_table_set (t, -0.5, -0.3, 1, 0); + + status = gsl_integration_qaws (&fc, 0.0, 1.0, t, 0.0, 1.0e-7, w->limit, + w, &result, &abserr) ; + + exp_result = -3.636679470586539620E-01; + exp_abserr = 2.851348775257054093E-08; + + gsl_test_rel(result,exp_result,1e-14,"qaws(f458) AB ln(x-a) result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qaws(f458) AB ln(x-a) abserr") ; + + /* Test with ln(b - x) */ + + gsl_integration_qaws_table_set (t, -0.5, -0.3, 0, 1); + + status = gsl_integration_qaws (&fc, 0.0, 1.0, t, 0.0, 1.0e-7, w->limit, + w, &result, &abserr) ; + + exp_result = -1.911489253363409802E+00; + exp_abserr = 9.854016753016499034E-09; + + gsl_test_rel(result,exp_result,1e-14,"qaws(f458) AB ln(b-x) result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qaws(f458) AB ln(b-x) abserr") ; + + /* Test with ln(x - a) ln(b - x) */ + + gsl_integration_qaws_table_set (t, -0.5, -0.3, 1, 1); + + status = gsl_integration_qaws (&fc, 0.0, 1.0, t, 0.0, 1.0e-7, w->limit, + w, &result, &abserr) ; + + exp_result = 3.159922862811048172E-01; + exp_abserr = 2.336183482198144595E-08; + + gsl_test_rel(result,exp_result,1e-14,"qaws(f458) AB ln(x-a)ln(b-x) result") ; + gsl_test_rel(abserr,exp_abserr,1e-6,"qaws(f458) AB ln(x-a)ln(b-x) abserr") ; + + gsl_integration_workspace_free (w) ; + gsl_integration_qaws_table_free (t) ; + + } + + + /* Test oscillatory integration using a relative error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + gsl_integration_qawo_table * wo + = gsl_integration_qawo_table_alloc (10.0 * M_PI, 1.0, + GSL_INTEG_SINE, 1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = -1.281368483991674190E-01; + double exp_abserr = 6.875028324415666248E-12; + int exp_neval = 305; + int exp_ier = 0; + int exp_last = 9; + + double a[9] = { 0.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02, + 3.125000000000000000E-02, + 1.562500000000000000E-02, + 7.812500000000000000E-03, + 3.906250000000000000E-03 } ; + double b[9] = { 3.906250000000000000E-03, + 1.000000000000000000E+00, + 5.000000000000000000E-01, + 2.500000000000000000E-01, + 1.250000000000000000E-01, + 6.250000000000000000E-02, + 3.125000000000000000E-02, + 1.562500000000000000E-02, + 7.812500000000000000E-03 } ; + double r[9] = { -1.447193692377651136E-03, + 2.190541162282139478E-02, + -2.587726479625663753E-02, + 5.483209176363500886E-02, + -3.081695575172510582E-02, + -9.178321994387816929E-02, + -3.886716016498160953E-02, + -1.242306301902117854E-02, + -3.659495117871544145E-03} ; + double e[9] = { 8.326506625798146465E-07, + 1.302638552580516100E-13, + 7.259224351945759794E-15, + 1.249770395036711102E-14, + 7.832180081562836579E-16, + 1.018998440559284116E-15, + 4.315121611695628020E-16, + 1.379237060008662177E-16, + 4.062855738364339357E-17 } ; + int order[9] = { 1, 2, 4, 3, 6, 5, 7, 8, 9 } ; + + double alpha = 1.0 ; + gsl_function f = make_function(&f456, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qawo (&fc, 0.0, 0.0, 1e-7, w->limit, + w, wo, &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qawo(f456) result") ; + gsl_test_rel(abserr,exp_abserr,1e-3,"qawo(f456) abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qawo(f456) neval") ; + gsl_test_int((int)(w->size),exp_last,"qawo(f456) last") ; + gsl_test_int(status,exp_ier,"qawo(f456) status") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->alist[i],a[i],1e-15,"qawo(f456) alist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->blist[i],b[i],1e-15,"qawo(f456) blist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-14,"qawo(f456) rlist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->elist[i],e[i],1e-3,"qawo(f456) elist") ; + + for (i = 0; i < 9 ; i++) + gsl_test_int((int)w->order[i],order[i]-1,"qawo(f456) order"); + + + /* In reverse, flip limit and sign of length */ + + gsl_integration_qawo_table_set_length (wo, -1.0); + + p.neval = 0; + status = gsl_integration_qawo (&fc, 1.0, 0.0, 1e-7, w->limit, + w, wo, &result, &abserr) ; + + gsl_test_rel(result,-exp_result,1e-14,"qawo(f456) rev result") ; + gsl_test_rel(abserr,exp_abserr,1e-3,"qawo(f456) rev abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qawo(f456) rev neval") ; + gsl_test_int((int)(w->size),exp_last,"qawo(f456) rev last") ; + gsl_test_int(status,exp_ier,"qawo(f456) rev status") ; + + + gsl_integration_qawo_table_free (wo) ; + gsl_integration_workspace_free (w) ; + + } + + /* Test fourier integration using an absolute error bound */ + + { + int status = 0, i; struct counter_params p; + double result = 0, abserr=0; + + gsl_integration_workspace * w = gsl_integration_workspace_alloc (1000) ; + gsl_integration_workspace * wc = gsl_integration_workspace_alloc (1000) ; + gsl_integration_qawo_table * wo + = gsl_integration_qawo_table_alloc (M_PI / 2.0, 1.0, + GSL_INTEG_COSINE, 1000) ; + + /* All results are for GSL_IEEE_MODE=double-precision */ + + double exp_result = 9.999999999279802765E-01; + double exp_abserr = 1.556289974669056164E-08; + int exp_neval = 590; + int exp_ier = 0; + int exp_last = 12; + + double r[12] = { 1.013283128125232802E+00, + -1.810857954748607349E-02, + 7.466754034900931897E-03, + -4.360312526786496237E-03, + 2.950184068216192904E-03, + -2.168238443073697373E-03, + 1.680910783140869081E-03, + -1.352797860944863345E-03, + 1.119354921991485901E-03, + -9.462367583691360827E-04, + 8.136341270731781887E-04, + -7.093931338504278145E-04 } ; + double e[12] = { 1.224798040766472695E-12, + 1.396565155187268456E-13, + 1.053844511655910310E-16, + 6.505213034913026604E-19, + 7.155734338404329264E-18, + 1.105886215935214523E-17, + 9.757819552369539906E-18, + 5.854691731421723944E-18, + 4.553649124439220312E-18, + 7.643625316022806260E-18, + 2.439454888092388058E-17, + 2.130457268934021451E-17 } ; + + double alpha = 1.0 ; + gsl_function f = make_function(&f457, &alpha); + gsl_function fc = make_counter(&f, &p) ; + + status = gsl_integration_qawf (&fc, 0.0, 1e-7, w->limit, + w, wc, wo, &result, &abserr) ; + + gsl_test_rel(result,exp_result,1e-14,"qawf(f457) result") ; + gsl_test_rel(abserr,exp_abserr,1e-3,"qawf(f457) abserr") ; + gsl_test_int((int)(p.neval),exp_neval,"qawf(f457) neval") ; + gsl_test_int((int)(w->size),exp_last,"qawf(f457) last") ; + gsl_test_int(status,exp_ier,"qawf(f457) status") ; + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->rlist[i],r[i],1e-12,"qawf(f457) rlist") ; + + /* We can only get within two orders of magnitude on the error + here, which is very sensitive to the floating point precision */ + + for (i = 0; i < 9 ; i++) + gsl_test_rel(w->elist[i],e[i],50.0,"qawf(f457) elist") ; + + + gsl_integration_qawo_table_free (wo) ; + gsl_integration_workspace_free (wc) ; + gsl_integration_workspace_free (w) ; + + } + + exit (gsl_test_summary()); +} + +void +my_error_handler (const char *reason, const char *file, int line, int err) +{ + if (0) printf ("(caught [%s:%d: %s (%d)])\n", file, line, reason, err) ; +} + + |