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diff --git a/res/1image_results b/res/1image_results new file mode 100644 index 0000000..af57cc6 --- /dev/null +++ b/res/1image_results @@ -0,0 +1,97 @@ +# results of numerical integration of three different functions +# (exp, sin and some 10 degree polynomial) on [-0.5; 1] interval +# +#FUNC ___QUAD_TYPE POLY_ORDER SUBINTERVALS _______COMPUTED_VALUE __________VALUE_ERROR +# function exp; exact integral: 2.1117511687464114 + exp newton-cotes 0 1 1.92603812503161E+00 1.85713043714799E-01 + exp newton-cotes 1 1 2.49360936612876E+00 3.81858197382348E-01 + exp newton-cotes 2 1 2.11522860176938E+00 3.47743302297232E-03 + exp newton-cotes 0 4 2.09942819014194E+00 1.23229786044705E-02 + exp newton-cotes 1 4 2.13644044529640E+00 2.46892765499878E-02 + exp newton-cotes 2 4 2.11176567146228E+00 1.45027158686695E-05 + exp newton-cotes 0 16 2.11097802057075E+00 7.73148175662541E-04 + exp newton-cotes 1 16 2.11329763497804E+00 1.54646623162780E-03 + exp newton-cotes 2 16 2.11175128830827E+00 1.19561858191730E-07 + exp newton-cotes 0 64 2.11170283537234E+00 4.83333740683989E-05 + exp newton-cotes 1 64 2.11184783615831E+00 9.66674118965116E-05 + exp newton-cotes 2 64 2.11175123190275E+00 6.31563419339898E-08 + exp newton-cotes 0 128 2.11173908525770E+00 1.20834887136212E-05 + exp newton-cotes 1 128 2.11177533576533E+00 2.41670189140564E-05 + exp newton-cotes 2 128 2.11175123169533E+00 6.29489180781206E-08 + exp gauss 1 1 1.92603812503161E+00 1.85713043714799E-01 + exp gauss 2 1 2.10944323004618E+00 2.30793870023227E-03 + exp gauss 3 1 2.11174017498829E+00 1.09937581247443E-05 + exp gauss 1 4 2.09942819014194E+00 1.23229786044705E-02 + exp gauss 2 4 2.11174154446915E+00 9.62427726047821E-06 + exp gauss 3 4 2.11175122970046E+00 6.09540506957273E-08 + exp gauss 1 16 2.11097802057075E+00 7.73148175662541E-04 + exp gauss 2 16 2.11175113096814E+00 3.77782729543696E-08 + exp gauss 3 16 2.11175123173832E+00 6.29919068018125E-08 + exp gauss 1 64 2.11170283537234E+00 4.83333740683989E-05 + exp gauss 2 64 2.11175116859717E+00 1.49236623059323E-10 + exp gauss 3 64 2.11175123168510E+00 6.29386853745473E-08 + exp gauss 1 128 2.11173908525770E+00 1.20834887136212E-05 + exp gauss 2 128 2.11175116873676E+00 9.65227897609111E-12 + exp gauss 3 128 2.11175123168240E+00 6.29359884207759E-08 +# function sin; exact integral: 0.33728025602223299 + sin newton-cotes 0 1 3.71105938881784E-01 3.38256828595514E-02 + sin newton-cotes 1 1 2.71534084652770E-01 6.57461713694629E-02 + sin newton-cotes 2 1 3.37915330876108E-01 6.35074853874595E-04 + sin newton-cotes 0 4 3.39264643397494E-01 1.98438737526069E-03 + sin newton-cotes 1 4 3.33318458216852E-01 3.96179780538147E-03 + sin newton-cotes 2 4 3.37282591722417E-01 2.33570018431939E-06 + sin newton-cotes 0 16 3.37403803411294E-01 1.23547389060619E-04 + sin newton-cotes 1 16 3.37033188390897E-01 2.47067631336084E-04 + sin newton-cotes 2 16 3.37280275122897E-01 1.91006635508195E-08 + sin newton-cotes 0 64 3.37287975878341E-01 7.71985610759085E-06 + sin newton-cotes 1 64 3.37264816416034E-01 1.54396061991524E-05 + sin newton-cotes 2 64 3.37280266109307E-01 1.00870736763348E-08 + sin newton-cotes 0 128 3.37282185963069E-01 1.92994083580977E-06 + sin newton-cotes 1 128 3.37276396147187E-01 3.85987504569751E-06 + sin newton-cotes 2 128 3.37280266076177E-01 1.00539435665681E-08 + sin gauss 1 1 3.71105938881784E-01 3.38256828595514E-02 + sin gauss 2 1 3.36854984312796E-01 4.25271709437014E-04 + sin gauss 3 1 3.37282324636480E-01 2.06861424700833E-06 + sin gauss 1 4 3.39264643397494E-01 1.98438737526069E-03 + sin gauss 2 4 3.37278705228509E-01 1.55079372354816E-06 + sin gauss 3 4 3.37280266394011E-01 1.03717775479240E-08 + sin gauss 1 16 3.37403803411294E-01 1.23547389060619E-04 + sin gauss 2 16 3.37280249993944E-01 6.02828925666543E-09 + sin gauss 3 16 3.37280266064890E-01 1.00426572058332E-08 + sin gauss 1 64 3.37287975878341E-01 7.71985610759085E-06 + sin gauss 2 64 3.37280255998951E-01 2.32820429602043E-11 + sin gauss 3 64 3.37280266073394E-01 1.00511605705123E-08 + sin gauss 1 128 3.37282185963069E-01 1.92994083580977E-06 + sin gauss 2 128 3.37280256020830E-01 1.40315536967250E-12 + sin gauss 3 128 3.37280266073824E-01 1.00515913370458E-08 +# function poly; exact integral: -6.4224397408682314 + poly newton-cotes 0 1 -1.04998702415752E+01 4.07743050070696E+00 + poly newton-cotes 1 1 -1.97724531433778E+00 4.44519442653045E+00 + poly newton-cotes 2 1 -7.65899549408524E+00 1.23655575321700E+00 + poly newton-cotes 0 4 -6.36528927667174E+00 5.71504641964946E-02 + poly newton-cotes 1 4 -6.62002771387664E+00 1.97587973008410E-01 + poly newton-cotes 2 4 -6.45020228130437E+00 2.77625404361412E-02 + poly newton-cotes 0 16 -6.41314392114169E+00 9.29581972654514E-03 + poly newton-cotes 1 16 -6.44138433706261E+00 1.89445961943822E-02 + poly newton-cotes 2 16 -6.42255758452246E+00 1.17843654225069E-04 + poly newton-cotes 0 64 -6.42183460280302E+00 6.05138065211008E-04 + poly newton-cotes 1 64 -6.42365136575042E+00 1.21162488218474E-03 + poly newton-cotes 2 64 -6.42244038185579E+00 6.40987554589856E-07 + poly newton-cotes 0 128 -6.42228814404890E+00 1.51596819327970E-04 + poly newton-cotes 1 128 -6.42274298427672E+00 3.03243408486864E-04 + poly newton-cotes 2 128 -6.42243994886180E+00 2.07993563705600E-07 + poly gauss 1 1 -1.04998702415752E+01 4.07743050070696E+00 + poly gauss 2 1 -5.84748222218842E+00 5.74957518679808E-01 + poly gauss 3 1 -6.18128177279518E+00 2.41157968073056E-01 + poly gauss 1 4 -6.36528927667174E+00 5.71504641964946E-02 + poly gauss 2 4 -6.40404341324466E+00 1.83963276235755E-02 + poly gauss 3 4 -6.42231899648526E+00 1.20744382967608E-04 + poly gauss 1 16 -6.41314392114169E+00 9.29581972654514E-03 + poly gauss 2 16 -6.42236131242383E+00 7.84284444055316E-05 + poly gauss 3 16 -6.42243989131854E+00 1.50450309988059E-07 + poly gauss 1 64 -6.42183460280302E+00 6.05138065211008E-04 + poly gauss 2 64 -6.42243942065755E+00 3.20210681969968E-07 + poly gauss 3 64 -6.42243992002596E+00 1.79157725099799E-07 + poly gauss 1 128 -6.42228814404890E+00 1.51596819327970E-04 + poly gauss 2 128 -6.42243970932995E+00 3.15382813198539E-08 + poly gauss 3 128 -6.42243991999923E+00 1.79130998922972E-07 |