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authorJoel Sherrill <joel.sherrill@OARcorp.com>2011-04-08 17:33:11 +0000
committerJoel Sherrill <joel.sherrill@OARcorp.com>2011-04-08 17:33:11 +0000
commit73f643f3f4a55310b2c8c1a9858906b2dd676e72 (patch)
treeb1df97f18dace4a5702b0bc7aafdfee8a2f25ada /gsl-1.9/ode-initval/test.c
parentee523abdace8337d05ec4a179fcdf5de3fe0f634 (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, 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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/ode-initval/test.c')
-rw-r--r--gsl-1.9/ode-initval/test.c1030
1 files changed, 1030 insertions, 0 deletions
diff --git a/gsl-1.9/ode-initval/test.c b/gsl-1.9/ode-initval/test.c
new file mode 100644
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--- /dev/null
+++ b/gsl-1.9/ode-initval/test.c
@@ -0,0 +1,1030 @@
+/* ode-initval/test_odeiv.c
+ *
+ * Copyright (C) 2004 Tuomo Keskitalo
+ *
+ * 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.
+ */
+
+/* Some functions and tests based on test.c by G. Jungman.
+*/
+
+#include <config.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include <string.h>
+#include <math.h>
+#include <gsl/gsl_test.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_matrix.h>
+#include <gsl/gsl_linalg.h>
+#include <gsl/gsl_ieee_utils.h>
+#include <gsl/gsl_odeiv.h>
+#include "odeiv_util.h"
+
+/* Maximum number of ODE equations */
+#define MAXEQ 4
+
+/* RHS for f=2. Solution y = 2 * t + t0 */
+
+int
+rhs_linear (double t, const double y[], double f[], void *params)
+{
+ f[0] = 2.0;
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_linear (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ dfdy[0] = 0.0;
+ dfdt[0] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_lin = {
+ rhs_linear,
+ jac_linear,
+ 1,
+ 0
+};
+
+/* RHS for f=y. Equals y=exp(t) with initial value y(0)=1.0 */
+
+int
+rhs_exp (double t, const double y[], double f[], void *params)
+{
+ f[0] = y[0];
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_exp (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ dfdy[0] = y[0];
+ dfdt[0] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_exp = {
+ rhs_exp,
+ jac_exp,
+ 1,
+ 0
+};
+
+/* RHS for f0 = -y1, f1 = y0
+ equals y = [cos(t), sin(t)] with initial values [1, 0]
+*/
+
+int
+rhs_sin (double t, const double y[], double f[], void *params)
+{
+ f[0] = -y[1];
+ f[1] = y[0];
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_sin (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ dfdy[0] = 0.0;
+ dfdy[1] = -1.0;
+ dfdy[2] = 1.0;
+ dfdy[3] = 0.0;
+
+ dfdt[0] = 0.0;
+ dfdt[1] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_sin = {
+ rhs_sin,
+ jac_sin,
+ 2,
+ 0
+};
+
+/* Sine/cosine with random failures */
+
+int
+rhs_xsin (double t, const double y[], double f[], void *params)
+{
+ static int n = 0;
+
+ n++;
+
+ if (n > 40 && n < 65) {
+ f[0] = GSL_NAN;
+ f[1] = GSL_NAN;
+ return GSL_EFAILED;
+ }
+
+ f[0] = -y[1];
+ f[1] = y[0];
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_xsin (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ static int n = 0;
+
+ n++;
+
+ if (n > 50 && n < 55) {
+ dfdy[0] = GSL_NAN;
+ dfdy[1] = GSL_NAN;
+ dfdy[2] = GSL_NAN;
+ dfdy[3] = GSL_NAN;
+
+ dfdt[0] = GSL_NAN;
+ dfdt[1] = GSL_NAN;
+ return GSL_EFAILED;
+ }
+
+ dfdy[0] = 0.0;
+ dfdy[1] = -1.0;
+ dfdy[2] = 1.0;
+ dfdy[3] = 0.0;
+
+ dfdt[0] = 0.0;
+ dfdt[1] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_xsin = {
+ rhs_xsin,
+ jac_xsin,
+ 2,
+ 0
+};
+
+
+/* RHS for classic stiff example
+ dy0 / dt = 998 * y0 + 1998 * y1 y0(0) = 1.0
+ dy1 / dt = -999 * y0 - 1999 * y1 y1(0) = 0.0
+
+ solution is
+ y0 = 2 * exp(-t) - exp(-1000 * t)
+ y1 = - exp(-t) + exp(-1000 * t)
+*/
+
+int
+rhs_stiff (double t, const double y[], double f[], void *params)
+{
+ f[0] = 998.0 * y[0] + 1998.0 * y[1];
+ f[1] = -999.0 * y[0] - 1999.0 * y[1];
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_stiff (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ dfdy[0] = 998.0;
+ dfdy[1] = 1998.0;
+ dfdy[2] = -999.0;
+ dfdy[3] = -1999.0;
+
+ dfdt[0] = 0.0;
+ dfdt[1] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_stiff = {
+ rhs_stiff,
+ jac_stiff,
+ 2,
+ 0
+};
+
+/* van Der Pol oscillator:
+ f0 = y1 y0(0) = 1.0
+ f1 = -y0 + mu * y1 * (1 - y0^2) y1(0) = 0.0
+*/
+
+int
+rhs_vanderpol (double t, const double y[], double f[], void *params)
+{
+ const double mu = 10.0;
+
+ f[0] = y[1];
+ f[1] = -y[0] + mu * y[1] * (1.0 - y[0]*y[0]);
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_vanderpol (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ const double mu = 10.0;
+
+ dfdy[0] = 0.0;
+ dfdy[1] = 1.0;
+ dfdy[2] = -2.0 * mu * y[0] * y[1] - 1.0;
+ dfdy[3] = mu * (1.0 - y[0] * y[0]);
+
+ dfdt[0] = 0.0;
+ dfdt[1] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_vanderpol = {
+ rhs_vanderpol,
+ jac_vanderpol,
+ 2,
+ 0
+};
+
+/* The Oregonator - chemical Belusov-Zhabotinskii reaction
+ y0(0) = 1.0, y1(0) = 2.0, y2(0) = 3.0
+*/
+
+int
+rhs_oregonator (double t, const double y[], double f[], void *params)
+{
+ const double c1=77.27;
+ const double c2=8.375e-6;
+ const double c3=0.161;
+
+ f[0] = c1 * (y[1] + y[0] * (1 - c2 * y[0] - y[1]));
+ f[1] = 1/c1 * (y[2] - y[1] * (1 + y[0]));
+ f[2] = c3 * (y[0] - y[2]);
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_oregonator (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ const double c1=77.27;
+ const double c2=8.375e-6;
+ const double c3=0.161;
+
+ dfdy[0] = c1 * (1 - 2 * c2 * y[0] - y[1]);
+ dfdy[1] = c1 * (1 - y[0]);
+ dfdy[2] = 0.0;
+
+ dfdy[3] = 1/c1 * (-y[1]);
+ dfdy[4] = 1/c1 * (-1 - y[0]);
+ dfdy[5] = 1/c1;
+
+ dfdy[6] = c3;
+ dfdy[7] = 0.0;
+ dfdy[8] = -c3;
+
+ dfdt[0] = 0.0;
+ dfdt[1] = 0.0;
+ dfdt[2] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_oregonator = {
+ rhs_oregonator,
+ jac_oregonator,
+ 3,
+ 0
+};
+
+/* Volterra-Lotka predator-prey model
+
+ f0 = (a - b * y1) * y0 y0(0) = 3.0
+ f1 = (-c + d * y0) * y1 y1(0) = 1.0
+ */
+
+int
+rhs_vl (double t, const double y[], double f[], void *params)
+{
+ const double a = 1.0;
+ const double b = 1.0;
+ const double c = 1.0;
+ const double d = 1.0;
+
+ f[0] = (a - b * y[1]) * y[0];
+ f[1] = (-c + d * y[0]) * y[1];
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_vl (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ const double a = 1.0;
+ const double b = 1.0;
+ const double c = 1.0;
+ const double d = 1.0;
+
+ dfdy[0] = a - b * y[1];
+ dfdy[1] = -b * y[0];
+ dfdy[2] = d * y[1];
+ dfdy[3] = -c + d * y[0];
+
+ dfdt[0] = 0.0;
+ dfdt[1] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_vl = {
+ rhs_vl,
+ jac_vl,
+ 2,
+ 0
+};
+
+/* Stiff trigonometric example
+
+ f0 = -50 * (y0 - cos(t)) y0(0) = 0.0
+ */
+
+int
+rhs_stifftrig (double t, const double y[], double f[], void *params)
+{
+ f[0] = -50 * (y[0] - cos(t));
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_stifftrig (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ dfdy[0] = -50;
+
+ dfdt[0] = -50 * sin(t);
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_stifftrig = {
+ rhs_stifftrig,
+ jac_stifftrig,
+ 1,
+ 0
+};
+
+/* E5 - a stiff badly scaled chemical problem by Enright, Hull &
+ Lindberg (1975): Comparing numerical methods for stiff systems of
+ ODEs. BIT, vol. 15, pp. 10-48.
+
+ f0 = -a * y0 - b * y0 * y2 y0(0) = 1.76e-3
+ f1 = a * y0 - m * c * y1 * y2 y1(0) = 0.0
+ f2 = a * y0 - b * y0 * y2 - m * c * y1 * y2 + c * y3 y2(0) = 0.0
+ f3 = b * y0 * y2 - c * y3 y3(0) = 0.0
+ */
+
+int
+rhs_e5 (double t, const double y[], double f[], void *params)
+{
+ const double a = 7.89e-10;
+ const double b = 1.1e7;
+ const double c = 1.13e3;
+ const double m = 1.0e6;
+
+ f[0] = -a * y[0] - b * y[0] * y[2];
+ f[1] = a * y[0] - m * c * y[1] * y[2];
+ f[3] = b * y[0] * y[2] - c * y[3];
+ f[2] = f[1] - f[3];
+
+ return GSL_SUCCESS;
+}
+
+int
+jac_e5 (double t, const double y[], double *dfdy, double dfdt[],
+ void *params)
+{
+ const double a = 7.89e-10;
+ const double b = 1.1e7;
+ const double c = 1.13e3;
+ const double m = 1.0e6;
+
+ dfdy[0] = -a - b * y[2];
+ dfdy[1] = 0.0;
+ dfdy[2] = -b * y[0];
+ dfdy[3] = 0.0;
+
+ dfdy[4] = a;
+ dfdy[5] = -m * c * y[2];
+ dfdy[6] = -m * c * y[1];
+ dfdy[7] = 0.0;
+
+ dfdy[8] = a - b * y[2];
+ dfdy[9] = -m * c * y[2];
+ dfdy[10] = -b * y[0] - m * c * y[1];
+ dfdy[11] = c;
+
+ dfdy[12] = b * y[2];
+ dfdy[13] = 0.0;
+ dfdy[14] = b * y[0];
+ dfdy[15] = -c;
+
+ dfdt[0] = 0.0;
+ dfdt[1] = 0.0;
+ dfdt[2] = 0.0;
+ dfdt[3] = 0.0;
+
+ return GSL_SUCCESS;
+}
+
+gsl_odeiv_system rhs_func_e5 = {
+ rhs_e5,
+ jac_e5,
+ 4,
+ 0
+};
+
+void
+test_odeiv_stepper (const gsl_odeiv_step_type *T, const gsl_odeiv_system *sys,
+ const double h, const double t, const char desc[],
+ const double ystart[], const double yfin[],
+ const double relerr)
+{
+ /* tests stepper T with one fixed length step advance of system sys
+ and compares with given values yfin
+ */
+
+ double y[MAXEQ] = {0.0};
+ double yerr[MAXEQ] = {0.0};
+ size_t ne = sys->dimension;
+ size_t i;
+
+ gsl_odeiv_step *step = gsl_odeiv_step_alloc (T, ne);
+
+ DBL_MEMCPY (y, ystart, MAXEQ);
+
+ {
+ int s = gsl_odeiv_step_apply (step, t, h, y, yerr, 0, 0, sys);
+ if (s != GSL_SUCCESS)
+ {
+ gsl_test(s, "test_odeiv_stepper: %s step_apply returned %d", desc, s);
+ }
+ }
+
+ for (i = 0; i < ne; i++)
+ {
+ gsl_test_rel (y[i], yfin[i], relerr,
+ "%s %s step(%d)",
+ gsl_odeiv_step_name (step), desc,i);
+ }
+
+ gsl_odeiv_step_free (step);
+}
+
+void
+test_stepper (const gsl_odeiv_step_type *T)
+{
+ /* Tests stepper T with a step of selected systems */
+
+ double y[MAXEQ] = {0.0};
+ double yfin[MAXEQ] = {0.0};
+
+ /* Step length */
+ double h;
+
+ /* Required tolerance */
+ double err_target;
+
+ /* linear */
+ h = 1e-1;
+ err_target = 1e-10;
+ y[0] = 0.58;
+ yfin[0] = y[0] + 2 * h;
+ test_odeiv_stepper (T, &rhs_func_lin, h, 0.0, "linear",
+ y, yfin, err_target);
+
+ /* exponential */
+ h = 1e-4;
+ err_target = 1e-8;
+ y[0] = exp(2.7);
+ yfin[0] = exp(2.7 + h);
+ test_odeiv_stepper (T, &rhs_func_exp, h, 2.7, "exponential",
+ y, yfin, err_target);
+ /* cosine-sine */
+ h = 1e-3;
+ err_target = 1e-6;
+ y[0] = cos(1.2);
+ y[1] = sin(1.2);
+ yfin[0] = cos(1.2 + h);
+ yfin[1] = sin(1.2 + h);
+ test_odeiv_stepper (T, &rhs_func_sin, h, 1.2, "cosine-sine",
+ y, yfin, err_target);
+
+ /* classic stiff */
+ h = 1e-7;
+ err_target = 1e-4;
+ y[0] = 1.0;
+ y[1] = 0.0;
+
+ {
+ const double e1 = exp (-h);
+ const double e2 = exp (-1000.0 * h);
+ yfin[0] = 2.0 * e1 - e2;
+ yfin[1] = -e1 + e2;
+ }
+
+ test_odeiv_stepper (T, &rhs_func_stiff, h, 0.0, "classic_stiff",
+ y, yfin, err_target);
+}
+
+void
+test_evolve_system (const gsl_odeiv_step_type * T,
+ const gsl_odeiv_system * sys,
+ double t0, double t1, double hstart,
+ double y[], double yfin[],
+ double err_target, const char *desc)
+{
+ /* Tests system sys with stepper T. Step length is controlled by
+ error estimation from the stepper.
+ */
+
+ int steps = 0;
+ size_t i;
+
+ double t = t0;
+ double h = hstart;
+
+ /* Tolerance factor in testing errors */
+ const double factor = 10;
+
+ gsl_odeiv_step * step = gsl_odeiv_step_alloc (T, sys->dimension);
+
+ gsl_odeiv_control *c =
+ gsl_odeiv_control_standard_new (err_target, err_target, 1.0, 0.0);
+
+ gsl_odeiv_evolve *e = gsl_odeiv_evolve_alloc (sys->dimension);
+
+ while (t < t1)
+ {
+ int s = gsl_odeiv_evolve_apply (e, c, step, sys, &t, t1, &h, y);
+
+ if (s != GSL_SUCCESS && sys != &rhs_func_xsin)
+ {
+ gsl_test(s, "%s evolve_apply returned %d",
+ gsl_odeiv_step_name (step), s);
+ break;
+ }
+
+ if (steps > 100000)
+ {
+ gsl_test(GSL_EFAILED,
+ "%s evolve_apply reached maxiter",
+ gsl_odeiv_step_name (step));
+ break;
+ }
+
+ steps++;
+ }
+
+ /* err_target is target error of one step. Test if stepper has made
+ larger error than (tolerance factor times) the number of steps
+ times the err_target */
+
+ for (i = 0; i < sys->dimension; i++)
+ {
+ gsl_test_abs (y[i], yfin[i], factor * e->count * err_target,
+ "%s %s evolve(%d)",
+ gsl_odeiv_step_name (step), desc, i);
+ }
+
+ gsl_odeiv_evolve_free (e);
+ gsl_odeiv_control_free (c);
+ gsl_odeiv_step_free (step);
+}
+
+int
+sys_driver (const gsl_odeiv_step_type * T,
+ const gsl_odeiv_system * sys,
+ double t0, double t1, double hstart,
+ double y[], double epsabs, double epsrel,
+ const char desc[])
+{
+ /* This function evolves a system sys with stepper T from t0 to t1.
+ Step length is varied via error control with possibly different
+ absolute and relative error tolerances.
+ */
+
+ int s = 0;
+ int steps = 0;
+
+ double t = t0;
+ double h = hstart;
+
+ gsl_odeiv_step * step = gsl_odeiv_step_alloc (T, sys->dimension);
+
+ gsl_odeiv_control *c =
+ gsl_odeiv_control_standard_new (epsabs, epsrel, 1.0, 0.0);
+ gsl_odeiv_evolve *e = gsl_odeiv_evolve_alloc (sys->dimension);
+
+ while (t < t1)
+ {
+ s = gsl_odeiv_evolve_apply (e, c, step, sys, &t, t1, &h, y);
+
+ if (s != GSL_SUCCESS)
+ {
+ gsl_test(s, "sys_driver: %s evolve_apply returned %d",
+ gsl_odeiv_step_name (step), s);
+ break;
+ }
+
+ if (steps > 1e7)
+ {
+ gsl_test(GSL_EMAXITER,
+ "sys_driver: %s evolve_apply reached maxiter at t=%g",
+ gsl_odeiv_step_name (step), t);
+ s = GSL_EMAXITER;
+ break;
+ }
+
+ steps++;
+ }
+
+ gsl_test(s, "%s %s [%g,%g], %d steps completed",
+ gsl_odeiv_step_name (step), desc, t0, t1, steps);
+
+ gsl_odeiv_evolve_free (e);
+ gsl_odeiv_control_free (c);
+ gsl_odeiv_step_free (step);
+
+ return s;
+}
+
+void
+test_compare_vanderpol (void)
+{
+ /* Compares output of van Der Pol oscillator with several steppers */
+
+ /* system dimension */
+ const size_t sd = 2;
+
+ const gsl_odeiv_step_type *steppers[20];
+ const gsl_odeiv_step_type **T;
+
+ /* Required error tolerance for each stepper. */
+ double err_target[20];
+
+ /* number of ODE solvers */
+ const size_t ns = 11;
+
+ /* initial values for each ode-solver */
+ double y[11][2];
+ double *yp = &y[0][0];
+
+ size_t i, j, k;
+ int status = 0;
+
+ /* Parameters for the problem and stepper */
+ const double start = 0.0;
+ const double end = 100.0;
+ const double epsabs = 1e-8;
+ const double epsrel = 1e-8;
+ const double initstepsize = 1e-5;
+
+ /* Initialize */
+
+ steppers[0] = gsl_odeiv_step_rk2;
+ err_target[0] = 1e-6;
+ steppers[1] = gsl_odeiv_step_rk4;
+ err_target[1] = 1e-6;
+ steppers[2] = gsl_odeiv_step_rkf45;
+ err_target[2] = 1e-6;
+ steppers[3] = gsl_odeiv_step_rkck;
+ err_target[3] = 1e-6;
+ steppers[4] = gsl_odeiv_step_rk8pd;
+ err_target[4] = 1e-6;
+ steppers[5] = gsl_odeiv_step_rk2imp;
+ err_target[5] = 1e-5;
+ steppers[6] = gsl_odeiv_step_rk2simp;
+ err_target[6] = 1e-5;
+ steppers[7] = gsl_odeiv_step_rk4imp;
+ err_target[7] = 1e-6;
+ steppers[8] = gsl_odeiv_step_bsimp;
+ err_target[8] = 1e-7;
+ steppers[9] = gsl_odeiv_step_gear1;
+ err_target[9] = 1e-2;
+ steppers[10] = gsl_odeiv_step_gear2;
+ err_target[10] = 1e-6;
+ steppers[11] = 0;
+
+ T = steppers;
+
+ for (i = 0; i < ns; i++)
+ {
+ y[i][0] = 1.0;
+ y[i][1] = 0.0;
+ }
+
+ /* Call each solver for the problem */
+
+ i = 0;
+ while (*T != 0)
+ {
+ {
+ int s = sys_driver (*T, &rhs_func_vanderpol,
+ start, end, initstepsize, &yp[i],
+ epsabs, epsrel, "vanderpol");
+ if (s != GSL_SUCCESS)
+ {
+ status++;
+ }
+ }
+
+ T++;
+ i += sd;
+ }
+
+ if (status != GSL_SUCCESS)
+ {
+ return;
+ }
+
+ /* Compare results */
+
+ T = steppers;
+
+ for (i = 0; i < ns; i++)
+ for (j = i+1; j < ns; j++)
+ for (k = 0; k < sd; k++)
+ {
+ const double val1 = yp[sd * i + k];
+ const double val2 = yp[sd * j + k];
+ gsl_test_abs (val1, val2,
+ ( GSL_MAX(err_target[i], err_target[j]) ),
+ "%s/%s vanderpol",
+ T[i]->name, T[j]->name);
+ }
+
+}
+
+void
+test_compare_oregonator (void)
+{
+ /* Compares output of the Oregonator with several steppers */
+
+ /* system dimension */
+ const size_t sd = 3;
+
+ const gsl_odeiv_step_type *steppers[20];
+ const gsl_odeiv_step_type **T;
+
+ /* Required error tolerance for each stepper. */
+ double err_target[20];
+
+ /* number of ODE solvers */
+ const size_t ns = 2;
+
+ /* initial values for each ode-solver */
+ double y[2][3];
+ double *yp = &y[0][0];
+
+ size_t i, j, k;
+ int status = 0;
+
+ /* Parameters for the problem and stepper */
+ const double start = 0.0;
+ const double end = 360.0;
+ const double epsabs = 1e-8;
+ const double epsrel = 1e-8;
+ const double initstepsize = 1e-5;
+
+ /* Initialize */
+
+ steppers[0] = gsl_odeiv_step_rk2simp;
+ err_target[0] = 1e-6;
+ steppers[1] = gsl_odeiv_step_bsimp;
+ err_target[1] = 1e-6;
+ steppers[2] = 0;
+
+ T = steppers;
+
+ for (i = 0; i < ns; i++)
+ {
+ y[i][0] = 1.0;
+ y[i][1] = 2.0;
+ y[i][2] = 3.0;
+ }
+
+ /* Call each solver for the problem */
+
+ i = 0;
+ while (*T != 0)
+ {
+ {
+ int s = sys_driver (*T, &rhs_func_oregonator,
+ start, end, initstepsize, &yp[i],
+ epsabs, epsrel, "oregonator");
+
+ if (s != GSL_SUCCESS)
+ {
+ status++;
+ }
+ }
+
+ T++;
+ i += sd;
+ }
+
+ if (status != GSL_SUCCESS)
+ {
+ return;
+ }
+
+ /* Compare results */
+
+ T = steppers;
+
+ for (i = 0; i < ns; i++)
+ for (j = i+1; j < ns; j++)
+ for (k = 0; k < sd; k++)
+ {
+ const double val1 = yp[sd * i + k];
+ const double val2 = yp[sd * j + k];
+ gsl_test_rel (val1, val2,
+ ( GSL_MAX(err_target[i], err_target[j]) ),
+ "%s/%s oregonator",
+ T[i]->name, T[j]->name);
+ }
+
+}
+
+void
+test_evolve_linear (const gsl_odeiv_step_type * T, double h, double err)
+{
+ double y[1];
+ double yfin[1];
+
+ y[0] = 1.0;
+ yfin[0] = 9.0;
+ test_evolve_system (T, &rhs_func_lin, 0.0, 4.0, h, y, yfin, err,
+ "linear[0,4]");
+}
+
+void
+test_evolve_exp (const gsl_odeiv_step_type * T, double h, double err)
+{
+ double y[1];
+ double yfin[1];
+
+ y[0] = 1.0;
+ yfin[0] = exp (2.0);
+ test_evolve_system (T, &rhs_func_exp, 0.0, 2.0, h, y, yfin, err,
+ "exp[0,2]");
+}
+
+void
+test_evolve_sin (const gsl_odeiv_step_type * T, double h, double err)
+{
+ double y[2];
+ double yfin[2];
+
+ y[0] = 1.0;
+ y[1] = 0.0;
+ yfin[0] = cos (2.0);
+ yfin[1] = sin (2.0);
+ test_evolve_system (T, &rhs_func_sin, 0.0, 2.0, h, y, yfin, err,
+ "sine[0,2]");
+}
+
+void
+test_evolve_xsin (const gsl_odeiv_step_type * T, double h, double err)
+{
+ double y[2];
+ double yfin[2];
+
+ y[0] = 1.0;
+ y[1] = 0.0;
+ yfin[0] = cos (2.0);
+ yfin[1] = sin (2.0);
+ test_evolve_system (T, &rhs_func_xsin, 0.0, 2.0, h, y, yfin, err,
+ "sine[0,2] w/errors");
+}
+
+
+void
+test_evolve_stiff1 (const gsl_odeiv_step_type * T, double h, double err)
+{
+ double y[2];
+ double yfin[2];
+
+ y[0] = 1.0;
+ y[1] = 0.0;
+ {
+ double arg = 1.0;
+ double e1 = exp (-arg);
+ double e2 = exp (-1000.0 * arg);
+ yfin[0] = 2.0 * e1 - e2;
+ yfin[1] = -e1 + e2;
+ }
+ test_evolve_system (T, &rhs_func_stiff, 0.0, 1.0, h, y, yfin, err,
+ "stiff[0,1]");
+}
+
+void
+test_evolve_stiff5 (const gsl_odeiv_step_type * T, double h, double err)
+{
+ double y[2];
+ double yfin[2];
+
+ y[0] = 1.0;
+ y[1] = 0.0;
+ {
+ double arg = 5.0;
+ double e1 = exp (-arg);
+ double e2 = exp (-1000.0 * arg);
+ yfin[0] = 2.0 * e1 - e2;
+ yfin[1] = -e1 + e2;
+ }
+ test_evolve_system (T, &rhs_func_stiff, 0.0, 5.0, h, y, yfin, err,
+ "stiff[0,5]");
+}
+
+
+int
+main (void)
+{
+ int i;
+
+ struct ptype
+ {
+ const gsl_odeiv_step_type *type;
+ double h;
+ }
+ p[20];
+
+ p[0].type = gsl_odeiv_step_rk2;
+ p[0].h = 1.0e-3;
+ p[1].type = gsl_odeiv_step_rk4;
+ p[1].h = 1.0e-3;
+ p[2].type = gsl_odeiv_step_rkf45;
+ p[2].h = 1.0e-3;
+ p[3].type = gsl_odeiv_step_rkck;
+ p[3].h = 1.0e-3;
+ p[4].type = gsl_odeiv_step_rk8pd;
+ p[4].h = 1.0e-3;
+ p[5].type = gsl_odeiv_step_rk2imp;
+ p[5].h = 1.0e-3;
+ p[6].type = gsl_odeiv_step_rk2simp;
+ p[6].h = 1.0e-3;
+ p[7].type = gsl_odeiv_step_rk4imp;
+ p[7].h = 1.0e-3;
+ p[8].type = gsl_odeiv_step_bsimp;
+ p[8].h = 1.0e-3;
+ p[9].type = gsl_odeiv_step_gear1;
+ p[9].h = 1.0e-3;
+ p[10].type = gsl_odeiv_step_gear2;
+ p[10].h = 1.0e-3;
+ p[11].type = 0;
+
+ gsl_ieee_env_setup ();
+
+ for (i = 0; p[i].type != 0; i++)
+ {
+ test_stepper(p[i].type);
+ }
+
+ for (i = 0; p[i].type != 0; i++)
+ {
+ test_evolve_linear (p[i].type, p[i].h, 1e-10);
+ test_evolve_exp (p[i].type, p[i].h, 1e-6);
+ test_evolve_sin (p[i].type, p[i].h, 1e-8);
+ test_evolve_xsin (p[i].type, p[i].h, 1e-8);
+ test_evolve_stiff1 (p[i].type, p[i].h, 1e-7);
+ test_evolve_stiff5 (p[i].type, p[i].h, 1e-7);
+ }
+
+ test_compare_vanderpol();
+ test_compare_oregonator();
+
+ exit (gsl_test_summary ());
+}