├── .gitignore ├── CONTRIBUTING.md ├── LICENSE ├── README.md ├── drafts ├── book │ └── So_you_think_you_know_C.odt ├── complex_polynomial_transformation.txt ├── debruijn.txt ├── dice_coefficient.txt ├── distance_to_line.py ├── distances.txt ├── dual_mesh.txt ├── favicon.svg ├── from_the_book │ ├── bases.html │ ├── bitmap.html │ ├── complex.html │ ├── curvature │ │ ├── curvature_graph.html │ │ └── curvature_parametric.html │ ├── image_interpolation │ │ └── image_interpolation.html │ ├── linear_transformations │ │ ├── linear_transformation.html │ │ ├── linear_transformation_symmetry.html │ │ └── linear_transformations.txt │ ├── points.html │ ├── points_uv.html │ ├── triangle_quality │ │ └── triangle_quality.html │ ├── triangles.html │ ├── triangles3D.html │ └── vectors.html ├── how_to_enjoy_math.txt ├── index.html ├── keyboard.html ├── limits.txt ├── linear_basis.txt ├── minimization.txt ├── stack_oriented.txt ├── static_checks.txt └── tools │ ├── chalks_on_pre.py │ ├── find_unused_stuff_in_htmls.py │ ├── rstrip_html.py │ └── ukrainian_hanging_words.py ├── exp ├── atan_scale │ └── atan_scale.html ├── bezier │ ├── bezier.html │ ├── diff_exp.py │ ├── solution.txt │ ├── test_abs.py │ ├── test_quadratic.py │ └── test_quartic.py ├── binary_search │ ├── Makefile │ ├── experiments.cpp │ ├── find.h │ ├── generate_test_data.h │ ├── measure.h │ ├── measurement.cpp │ └── validity.cpp ├── cpp_and_and │ ├── ARMv7 │ │ ├── Makefile │ │ ├── and.cpp │ │ ├── andand.cpp │ │ ├── andand_double.cpp │ │ ├── andand_float.cpp │ │ ├── arm_runs_clang3.csv │ │ ├── compare_zero.cpp │ │ ├── minus_abs_plus.cpp │ │ ├── minus_mul_plus.cpp │ │ ├── minus_mul_plus_double.cpp │ │ ├── mul.cpp │ │ └── s │ │ │ ├── and.s │ │ │ ├── andand.s │ │ │ ├── andand_double.s │ │ │ ├── andand_float.s │ │ │ ├── compare_zero.s │ │ │ ├── minus_abs_plus.s │ │ │ ├── minus_mul_double_plus.s │ │ │ ├── minus_mul_plus.s │ │ │ └── mul.s │ ├── Makefile │ ├── _benchmark.cpp │ ├── and.cpp │ ├── andand.cpp │ ├── andand_double.cpp │ ├── andand_float.cpp │ ├── compare_zero.cpp │ ├── intel_runs_clang3.csv │ ├── minus_abs_plus.cpp │ ├── minus_mul_plus.cpp │ ├── minus_mul_plus_double.cpp │ └── mul.cpp ├── cpp_magic_cubes │ ├── 64bits.cpp │ ├── 64bits_in_set.cpp │ ├── 64bits_in_unordered_set.cpp │ ├── Makefile │ ├── arm │ │ ├── armversions │ │ ├── run1 │ │ ├── run2 │ │ └── run3 │ ├── better_benchmark │ │ ├── Makefile │ │ ├── empty_run.cpp │ │ ├── naive.cpp │ │ ├── numbers.cpp │ │ ├── numbers_5_heuristic.cpp │ │ ├── numbers_permutation_shifts.cpp │ │ ├── run1 │ │ ├── run2 │ │ ├── run3 │ │ ├── run4 │ │ └── run5 │ ├── empty_run.cpp │ ├── intel │ │ ├── intelversions │ │ ├── run1 │ │ ├── run2 │ │ └── run3 │ ├── naive.cpp │ ├── naive_less_code.cpp │ ├── naive_reversed.cpp │ ├── numbers.cpp │ ├── numbers_5_heuristic.cpp │ ├── numbers_oddity_heuristic.cpp │ ├── numbers_permutation_shifts.cpp │ ├── words.cpp │ ├── words_in_set.cpp │ ├── words_in_unordered_set.cpp │ └── words_oddity_heuristic.cpp ├── cpp_mod_3 │ ├── Makefile │ ├── _benchmark.cpp │ ├── lookup.cpp │ ├── simple_mod_3.cpp │ ├── trick_1.cpp │ ├── trick_2.cpp │ ├── trick_3.cpp │ └── trick_4.cpp ├── cpp_sine │ ├── Makefile │ ├── _benchmark.cpp │ ├── div_vs_mul.cpp │ ├── div_vs_mul_array.cpp │ ├── dsin_vs_fsin.cpp │ ├── fsin_vs_stdfsin.cpp │ ├── sin_model │ │ ├── sin_model.py │ │ ├── sin_model_2.py │ │ └── sin_model_complex.py │ ├── sin_vs_big_lookup.cpp │ ├── sin_vs_lookup.cpp │ ├── sin_vs_polynomial.cpp │ ├── stdsine_vs_full_model.cpp │ ├── stdsine_vs_hornerf.cpp │ └── times │ │ ├── environment.txt │ │ └── times.txt ├── cuda │ ├── GTX1050Ti │ │ ├── benchmark.s │ │ └── results.txt │ ├── Makefile │ └── benchmark.cu ├── floating_point_surrealismmeter │ ├── double_interval │ │ ├── Makefile │ │ ├── cubic_solver.hpp │ │ ├── double_interval.hpp │ │ ├── exp_1.cpp │ │ ├── exp_2.cpp │ │ └── exp_3.cpp │ ├── show_floating_as_binary.cpp │ └── sizeof_floats.cpp ├── forth │ └── apl_playground.html ├── from_the_book │ ├── curvature_graph.html │ ├── curvature_parametric.html │ ├── image_interpolation.html │ └── nurbs_playable.html ├── lemniscate │ └── lemniscate_with_foci.html ├── linear_transformations │ ├── eigenvalues.py │ └── linear_transformations.html ├── logic_cpp │ ├── Makefile │ └── alice_likes_bob.cpp ├── mesh_generation │ ├── distance_to_cells.html │ ├── distance_to_mesh.html │ └── metapoles.html ├── nan_code │ ├── Makefile │ ├── measurements.cpp │ ├── nan_as_error_code.cpp │ └── nan_as_error_code_cast.cpp ├── non_polynomial_splines │ ├── arc_and_line.html │ ├── arc_and_line.py │ ├── arcs.html │ ├── arcs.py │ ├── combined.html │ └── intersection.py ├── numbers │ ├── Makefile │ ├── int8_t_all_bits.cpp │ ├── numbers.cpp │ ├── safe_loop.cpp │ └── sum │ │ ├── Makefile │ │ └── kahan_sum.cpp ├── python_to_llvm │ ├── Makefile │ ├── arrays_example.bc │ ├── exp_c │ │ ├── Makefile │ │ ├── exp_volatile_a_b.c │ │ ├── static_linear_solver.h │ │ ├── static_loops.h │ │ └── static_recursion.h │ ├── exp_cpp │ │ ├── Makefile │ │ └── exp_forced_inline.cpp │ ├── exp_embed_on_call │ │ ├── Makefile │ │ ├── benchmark.c │ │ └── substitute_solver_call.py │ ├── exp_separate_unit │ │ ├── Makefile │ │ ├── benchmark.c │ │ ├── generate_solver.py │ │ └── solve_5.c │ ├── minimal_calc.bc │ └── test.c ├── quadratic_transformations │ ├── poly_0_03_06_1.py │ └── poly_0_05_1.py ├── rational_bounds │ ├── rationale │ │ ├── Makefile │ │ └── cubic_solver_example.cpp │ ├── sketch_in_cpp │ │ ├── Makefile │ │ ├── rb.h │ │ └── rb_tests.cpp │ └── sketch_in_rust │ │ ├── Cargo.toml │ │ └── src │ │ └── lib.rs ├── rational_interpolation │ ├── approximation_generic.py │ ├── approximation_polynomial.py │ ├── approximation_rational_3_1.py │ ├── log2.html │ ├── log2.py │ ├── log2_alt.html │ ├── log2_alt.py │ ├── rational_atan.html │ ├── rational_interpolation.html │ ├── rational_interpolation_no_runge.html │ └── rational_interpolation_plot_fix.html ├── recursion_optimization │ ├── Makefile │ ├── measurements.txt │ ├── no_tco.cpp │ ├── no_tco.s │ ├── no_tco_instances_trick_1.cpp │ ├── no_tco_instances_trick_16.cpp │ ├── no_tco_instances_trick_2.cpp │ ├── no_tco_instances_trick_32.cpp │ ├── no_tco_instances_trick_4.cpp │ ├── no_tco_instances_trick_4.s │ ├── no_tco_instances_trick_8.cpp │ ├── tco.cpp │ └── tco.s ├── sort │ ├── nanosort │ │ ├── Makefile │ │ ├── arm7_clang │ │ │ ├── benchmark_results_1 │ │ │ ├── benchmark_results_2 │ │ │ ├── benchmark_results_3 │ │ │ ├── benchmark_results_4 │ │ │ ├── benchmark_results_5 │ │ │ ├── clang_version │ │ │ └── cpuinfo │ │ ├── arm7_gcc │ │ │ ├── benchmark_results_1 │ │ │ ├── benchmark_results_2 │ │ │ ├── benchmark_results_3 │ │ │ ├── benchmark_results_4 │ │ │ ├── benchmark_results_5 │ │ │ ├── cpuinfo │ │ │ └── gcc_version │ │ ├── benchmark.cpp │ │ ├── intel_i3_gcc │ │ │ ├── benchmark_results_1 │ │ │ ├── benchmark_results_2 │ │ │ ├── benchmark_results_3 │ │ │ ├── benchmark_results_4 │ │ │ ├── benchmark_results_5 │ │ │ ├── cpuinfo │ │ │ └── gcc_version │ │ ├── intel_i7_clang │ │ │ ├── benchmark_results_1 │ │ │ ├── benchmark_results_2 │ │ │ ├── benchmark_results_3 │ │ │ ├── benchmark_results_4 │ │ │ ├── benchmark_results_5 │ │ │ ├── clang_version │ │ │ └── cpuinfo │ │ └── intel_i7_gcc │ │ │ ├── benchmark_results_1 │ │ │ ├── benchmark_results_2 │ │ │ ├── benchmark_results_3 │ │ │ ├── benchmark_results_4 │ │ │ ├── benchmark_results_5 │ │ │ ├── cpuinfo │ │ │ └── gcc_version │ └── radix │ │ ├── Makefile │ │ ├── tests.cpp │ │ └── trie.h ├── splixels │ ├── distance_function_to_splixels.html │ ├── image_to_splixels.html │ ├── index.html │ ├── mask_to_splixels.html │ ├── pgm.py │ ├── splixels_boolean.html │ └── splixels_operations.html ├── static_c │ ├── assorted_drafts │ │ ├── dynamic_sort.c │ │ ├── factorial.c │ │ ├── factorial_2.c │ │ ├── factorial_2.s │ │ ├── loop.c │ │ ├── no_recursive_functions.c │ │ ├── no_recursive_macroses.c │ │ ├── recursive_functions.c │ │ ├── static_linear_solver.c │ │ ├── static_linear_solver.h │ │ ├── static_loops.c │ │ ├── static_loops.h │ │ ├── static_recursion.h │ │ ├── static_sort.c │ │ ├── static_sort_2.c │ │ └── with.c │ ├── benchmark │ │ ├── CHEATSHEET │ │ ├── Makefile │ │ ├── exp_lapack.c │ │ ├── exp_runtime.c │ │ ├── exp_static_a_b.c │ │ ├── exp_static_a_volatile_b.c │ │ ├── exp_triangular_matrix.c │ │ ├── exp_volatile_a_b.c │ │ ├── exp_volatile_a_static_b.c │ │ ├── measurements │ │ │ ├── arm │ │ │ └── intel │ │ ├── static_linear_solver.h │ │ ├── static_loops.h │ │ └── static_recursion.h │ └── exp │ │ ├── Makefile │ │ ├── arm_asm │ │ ├── exp_runtime.s │ │ ├── exp_static_a_b.s │ │ ├── exp_static_a_volatile_b.s │ │ ├── exp_triangular_matrix.s │ │ ├── exp_volatile_a_b.s │ │ └── exp_volatile_a_static_b.s │ │ ├── exp_lapack.c │ │ ├── exp_runtime.c │ │ ├── exp_static_a_b.c │ │ ├── exp_static_a_volatile_b.c │ │ ├── exp_triangular_matrix.c │ │ ├── exp_volatile_a_b.c │ │ ├── exp_volatile_a_static_b.c │ │ ├── intel_asm │ │ ├── exp_runtime.s │ │ ├── exp_static_a_b.s │ │ ├── exp_static_a_volatile_b.s │ │ ├── exp_triangular_matrix.s │ │ ├── exp_volatile_a_b.s │ │ └── exp_volatile_a_static_b.s │ │ ├── static_linear_solver.h │ │ ├── static_loops.h │ │ └── static_recursion.h ├── static_cpp │ ├── Makefile │ ├── exp_default_inline.cpp │ ├── exp_forced_inline.cpp │ ├── exp_triangular_matrix.cpp │ └── factorial.cpp ├── swine │ ├── iwi.html │ ├── linear_basis.py │ ├── linear_basis_3.py │ ├── mswine.py │ └── quadratic_basis.py ├── sympy │ ├── bezier_model.py │ ├── not_sine_model.py │ └── sine_model.py └── valgrind │ ├── 64bits.cpp │ ├── 64bits_binary_search.cpp │ ├── 64bits_local.cpp │ ├── 64bits_smart_index.cpp │ ├── Makefile │ ├── empty_run.cpp │ ├── make.log │ ├── numbers.cpp │ ├── numbers_const.cpp │ ├── numbers_permutation_shifts.cpp │ ├── words.cpp │ ├── words_smart_index_and_memcmp.cpp │ └── words_smart_memcmp.cpp ├── pages ├── a_picture_is_worth_a_thousand_tags.html ├── a_smooth_and_sharp_image_interpolation.html ├── all_algorithms.html ├── all_demos.html ├── all_mathematics.html ├── all_programming.html ├── all_quizzes.html ├── all_tutorials.html ├── apl_deserves_its_renaissance_too.html ├── arctangent_scale_its_like_the_logarithmic_scale_but_infinite.html ├── binary_search.html ├── biwhatever_transformations.html ├── can_we_use_lemniscates_for_ultra_cheap_vector_gaphics.html ├── can_you_tell_an_assembly_language_when_you_see_one.html ├── challenge_your_performance_intuition_with_cpp_magic_squares.html ├── challenge_your_performance_intuition_with_cpp_operators.html ├── challenge_your_performance_intuition_with_cpp_sine.html ├── challenge_your_performance_intuition_with_nanosecond_sorting.html ├── cheap_trick_to_speed_up_recursion_in_cpp.html ├── check_if_your_performance_intuition_still_works_with_cuda.html ├── circles_and_lines_vs_polynomial_splines.html ├── complex_numbers_and_conformal_mapping.html ├── cpp_magic_squares_demystified_with_valgrind_and_disassembly.html ├── either_your_estimates_suck_or_your_job_does.html ├── error_codes_are_not_numbers_but_they_are_can_we_exploit_that.html ├── estimating_floating_point_error_the_easy_way.html ├── favicon.svg ├── fortran_is_still_a_thing.html ├── gauss_seidel_visually_explained.html ├── honeycomb_texture_generator.html ├── how_much_math_can_you_do_in_10_lines_of_python.html ├── if_i_were_to_invent_a_programming_language_for_the_21st_century.html ├── image_darning.html ├── img │ ├── Lenna.png │ ├── Philips_PM5544.png │ ├── book_640.jpg │ ├── cat.png │ ├── gfp.jpg │ ├── political_map.jpg │ └── traces.jpg ├── index.html ├── interactive_explanation_of_marching_cubes_and_dual_contouring.html ├── interactive_guide_to_homogeneous_coordinates.html ├── interactive_introduction_to_iterative_algorithms.html ├── interactive_mnemonics_for_dot_and_cross_vector_products.html ├── lagrange_polynomial_as_a_gateway_drug_to_basis_splines.html ├── learn_you_a_lisp_in_0_minutes.html ├── lexical_differential_highlighting_instead_of_syntax_highlighting.html ├── logic_programming_in_cpp.html ├── mathematical_analysis_explained_with_python_blood_and_tnt.html ├── nurbs_is_just_an_acronym.html ├── outperforming_everything_with_anything.html ├── outperforming_lapack_with_c_metaprogramming.html ├── partial_order_and_non_boolean_logic.html ├── playing_a_game_of_chance_with_cpp_inline_keyword.html ├── polynomial_approximation_and_interpolation.html ├── programmers_guide_to_polynomials_and_splines.html ├── programmers_introduction_to_linear_equations.html ├── quadratic_splines_are_useful_too.html ├── rational_interpolation.html ├── redundant_stories_about_redundancy.html ├── rss ├── rss.rss ├── simple_image_vectorization.html ├── sine_and_cosine.html ├── so_you_think_you_know_c.html ├── static_typing_isnt_free.html ├── swine_simplicial_weight_interpolation_and_extrapolation.html ├── sympy_makes_math_fun_again.html ├── the_real_cpp_killers.html ├── the_simplest_possible_smooth_contouring_algorithm.html ├── tries_as_the_evolution_of_nothing.html ├── trippy_polynomials_in_arctangent_scale.html ├── ua │ └── programmers_introduction_to_linear_equations.html ├── using_logical_operators_for_logical_operations_is_good.html ├── vastly_outperforming_lapack_with_cpp_metaprogramming.html ├── why.html ├── why_erlang_is_among_the_few_true_computer_languages.html ├── why_is_it_ok_to_divide_by_0_0.html ├── why_learn_about_the_golden_section_search.html ├── yet_another_alternative_to_floating_point_numbers.html ├── yet_another_floating_point_tutorial.html └── you_dont_have_to_learn_assembly_to_read_disassembly.html ├── talks ├── 2018_KAC │ ├── index.html │ ├── p1_1.html │ ├── p1_2.html │ ├── p1_3.html │ ├── p1_4.html │ ├── p1_5.html │ ├── p2_1.html │ ├── p2_2.html │ ├── p2_3.html │ ├── p2_4.html │ ├── p2_5.html │ ├── p3_1.html │ ├── p3_2.html │ ├── p3_3.html │ ├── p3_4.html │ ├── p3_5.html │ ├── p3_6.html │ ├── p4_1.html │ ├── p4_2.html │ ├── p4_3.html │ ├── p4_4.html │ └── p4_5.html ├── 2018_KAC_2 │ ├── index.html │ ├── p1_1.html │ ├── p2_1.html │ ├── p2_2.html │ ├── p2_3.html │ ├── p2_4.html │ ├── p2_5.html │ ├── p2_6.html │ ├── p2_7.html │ ├── p3_1.html │ ├── p3_2.html │ ├── p3_3.html │ ├── p3_4.html │ ├── p3_5.html │ ├── p3_6.html │ ├── p3_7.html │ └── p4_1.html ├── 2018_KAC_3 │ └── index.html ├── 2018_MatAcademy │ ├── fixed_point.html │ ├── floating_point.html │ └── integer.html ├── 2019_CppMeetup │ └── optimizing_intuition.pptx ├── 2019_CppMeetup2 │ └── microoptimisations_and_disassembly_ua.pptx ├── 2019_KAC │ ├── favicon.ico │ ├── index.html │ ├── p1_1.html │ ├── p1_2.html │ ├── p2_1.html │ ├── p2_10.html │ ├── p2_2.html │ ├── p2_3.html │ ├── p2_4.html │ ├── p2_5.html │ ├── p2_6.html │ ├── p2_7.html │ ├── p2_8.html │ ├── p2_9.html │ ├── p3_1.html │ ├── p3_2.html │ └── qr.png ├── 2019_MatAcademy │ └── Re)introduction to C++.pptx ├── 2020_CppMeetup │ └── prolog_in_cpp.pptx ├── 2020_Dec_Meetup │ ├── cubic_solver_quiz.html │ ├── error_codes_in_nan.html │ ├── error_estimation.html │ ├── error_measurement.html │ ├── favicon.svg │ ├── floating_point.html │ ├── floating_point_sum.html │ ├── index.html │ ├── interval_addition.html │ ├── interval_comparison.html │ ├── interval_multiplication.html │ ├── kahan_sum.html │ ├── links.html │ └── rational_bounds.html ├── 2020_KAC │ ├── book_640.png │ ├── book_scanning_example.html │ ├── favicon.ico │ ├── geometric_transformations.html │ ├── index.html │ ├── linear_equations.html │ ├── polynomial_interpolation.html │ ├── polynomial_transformations.html │ ├── singular_cube.html │ ├── sympy.html │ └── vandermonde_matrix.html ├── 2021_Feb_Meetup │ ├── atan11.html │ ├── atan12.html │ ├── atan13.html │ ├── atan21.html │ ├── atan22.html │ ├── atan23.html │ ├── atan24.html │ ├── atan25.html │ ├── atan26.html │ ├── atan27.html │ ├── atan28.html │ ├── atan29.html │ ├── atan31.html │ ├── atan32.html │ ├── atan33.html │ ├── atan34.html │ ├── atan35.html │ ├── favicon.svg │ ├── index.html │ └── links.html ├── 2021_Jul_Meetup │ ├── benchmark.html │ ├── index.html │ ├── links.html │ ├── round_1.html │ ├── round_10.html │ ├── round_2.html │ ├── round_3.html │ ├── round_4.html │ ├── round_5.html │ ├── round_6.html │ ├── round_7.html │ ├── round_8.html │ ├── round_9.html │ └── source │ │ └── check_if_your_performance_intuition_still_works_with_cuda.html └── 2021_MatAcademy │ ├── cubic_solver_quiz.html │ ├── error_codes_in_nan.html │ ├── error_estimation.html │ ├── error_measurement.html │ ├── favicon.svg │ ├── fixed_point.html │ ├── floating_point.html │ ├── floating_point_sum.html │ ├── index.html │ ├── integer.html │ ├── interval_addition.html │ ├── interval_comparison.html │ ├── interval_multiplication.html │ ├── kahan_sum.html │ ├── links.html │ └── rational_bounds.html └── tools ├── chalks_js └── chalks.html ├── change_things ├── add_books_names.py ├── add_header.py ├── add_nobr_to_buttons.py ├── add_viewport_meta.py ├── change_505_555.py ├── change_a_link_colors.py ├── change_body_margin.py ├── change_divisor_line.py ├── change_footer.py ├── change_h.py ├── change_ico.py ├── change_links_color.py ├── change_logo_for_tags.py ├── change_mouse_to_pointer.py ├── change_p.py ├── change_rss.py ├── insert_books.py └── remove_twitter.py ├── count_things └── count_tags.py ├── find_unused_stuff_in_htmls └── find_unused_stuff_in_htmls.py ├── generate_things ├── generate_navigation.py ├── generate_readme.py ├── index.template ├── links.txt └── update_rss.py ├── image_to_js ├── helix.pgm ├── helix.ppm ├── pgm_to_js.py └── ppm_to_js.py ├── lessen_numbers └── lessen_numbers.py ├── make_ids_for_span └── make_ids_for_span.py ├── math_aliases_for_js └── math_aliases_for_js.py ├── rstrip_html └── rstrip_html.py └── tooltipize ├── instructions.txt └── tooltipize_asm.py /.gitignore: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/akalenuk/wordsandbuttons/HEAD/.gitignore -------------------------------------------------------------------------------- /CONTRIBUTING.md: 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