rpnChilada is a command-line Reverse-Polish Notation calculator.
rpnChilada supports arithmetic with arbitrary precision, powers and roots, logarithms, algebraic functions (including polynomials arithmetic and solving), trigonometric functions, complex numbers, computer science related functions (bitwise math, base conversion), number theory functions, astronomical functions, prime number calculations and lookup, can operate with single operands or lists of operands and supports a wide variety of flexible unit conversions comparable to the GNU units program.
Python 3.10 really broke RPN, but the fixes were simple.
8.5.6 includes several small fixes to deal with incompatibilities introduced with Python 3.10, the most significant of which is that pyreadline, the moribund library that provides readline functionality for Python on Windows was replaced with the built-in readline. If I recall correctly, the readline library didn't support Windows in the hazy past, which is why I started using pyreadline.
RPN isn't dead, although I figured it was time for a new release since with the library updates, 8.4.0 didn't work any more.
rpn 8.5.4 is released: Big Clean-Up and Documentation Release!
Much more thorough argument validation has been implemented on all operators. In addition, all non-constant operator function names now end with 'Operator', which means I can be sure they are not being called recursively, or being called by other operator functions, so that the argument expansion and validation isn't being done more than once.
I have continued my focus on completing the online help, which is now more than 95% complete. This also resulted in a number of operators being eliminated (see below), and a bevy of bug fixes. Almost every operator now has a help example.
The help for units is now complete. Every unit has help text.
About 70 new operators have been added.
The current release is 8.5.6.
See "rpn help settings" for more information.
In theory, you just need to do "pip install rpnChilada".
Windows users will want to use Christophe Gohlke's Windows installers for gmpy2 and pyephem at https://www.lfd.uci.edu/~gohlke/pythonlibs/.
For Python 3.10, an installer for gmpy2 can be found here: https://github.com/aleaxit/gmpy/releases/download/gmpy2-2.1.0rc1/gmpy2-2.1.0rc1-cp310-cp310-win_amd64.whl
Before installing from PyPI or from source for use on Termux, the following packages need to be installed:
"pkg install rust binutils libandroid-spawn build-essential"
and for Python:
"pip install cmake ninja"
for reasons I can't explain, it takes a really long time to build the required Python packages. A really long time.
I don't think this is correct yet.
#sudo apt install python3-dev python3-pip libgmp-dev libmpfr-dev libmpc-dev python3-setuptools python3-gmpy2 #pip3 install rpnChilada
rpn is written in Python 3, and requires several libraries for the hard math stuff.
Please see requirements.txt for a list of required Python packages.
Windows users will want to use Christophe Gohlke's Windows installers for gmpy2 and pyephem at https://www.lfd.uci.edu/~gohlke/pythonlibs/.
rpnChilada is very easy to use. It's just like any RPN calculator: Operands go first, then the operators, just like your Dad's old HP calculator.
If you are using the package installed with pip, there are commands in the scripts directories called "rpn" and "rpnChilada" to launch rpnChilada. If you are running from the source, then rpn is an alias for python /<path-to-rpn>/rpn.py. In interactive mode, you leave off the rpn.
Unit tests can be run with the testRPN command (when installed from the wheel) or by running testRPN.py from the rpn/ directory.
For instance:
rpn 2 2 +
will calculate 2 + 2.
rpnChilada supports more than 1000 operators. (rpn _dump_operators will list them all.)
The entire operator list is also included at the bottom of this document.
rpn has pretty extensive built-in help, although the help files are not complete. However, all operators have at least a brief description, and most are obvious enough to use easily.
Start with rpn help for an overview. To dive right in, see rpn help examples. In interactive mode, typing help will launch help mode. Then, topics will print out a list of help topics and exit will return to rpn.
The data files are stored in the same location as rpn.py in a subdirectory called rpndata/.
If you really want to generate prime numbers, see my "primes" project: https://github.com/ConceptJunkie/primes I've calculated the first 15 billion prime numbers and will someday update the rpn lookup tables.
The project https://github.com/ConceptJunkie/rpnChiladaData provides the compiled prime number data files. If you installed rpnChilada with pip, then this data will be automatically installed.
rpn also provides a simple interface for accessing The On-Line Encyclopedia of Integer Sequences (http://oeis.org), see rpn help special and rpn help oeis.
rpnChilada used to provide a Windows installer, but I haven't been able to do that since version 6.4.0. I hope to bring that back some day.
Any feedback is welcome at rickg@his.com. This was originally an exercise to learn Python, but slowly blossomed into something really useful and fun, so I wanted to share it. rpn also exposes just a few of the features of the amazing mpmath library (by Fredrik Johansson, http://mpmath.org/) which is where almost all the hard math stuff is actually done.
Rick Gutleber rickg@his.com
p.s. rpn is licensed under the GNU GPL version 3.0. See (see (http://www.gnu.org/licenses/gpl.html) for more information).
8.5.4
Big Clean-Up and Documentation Release!
Much more thorough argument validation has been implemented on all operators. In addition, all non-constant operator function names now end with 'Operator', which means I can be sure they are not being called recursively, or being called by other operator functions, so that the argument expansion and validation isn't being done more than once.
I have continued my focus on completing the online help, which is now more than 95% complete. This also resulted in a number of operators being eliminated (see below), and a bevy of bug fixes. Almost every operator now has a help example.
The help for units is now complete. Every unit has help text.
About 70 new operators have been added, including:
The 'number_from_file' and 'get_decimal_digits' operators have been added.
Time zone handling has been improved. 'to_time_zone', 'set_time_zone' and 'to_local_time' have been added.
'lat_long_to_nac' was removed (after I fixed it), since the developers of the Natural Area Code claim a copyright on the system itself, and do not allow outside implementations. I guess they don't want people adopting their system.
I removed the 'cyclotomic' operator, since I don't understand it enough to explain what it does or why it's useful. I'm just exposing an mpmath function. Some day I'll probably go through an expose all those mpmath functions that I haven't already.
I removed 'planck_angular_frequency' since there is some confusion as to how it should be defined. Plus, it isn't very interesting. (see https://chemphys.ca/pbunker/PlanckWiki.pdf)
I removed the 'planck_pressure' operator since it was identical to the 'planck_energy_density' operator.
I removed 'iso_date' and 'iso_day' which both duplicated 'to_iso'. Also, 'make_iso_time' was essentially a duplicate function as well, so it's been removed.
I renamed the following operators to be more consistent: 'get_utc' --> 'to_utc' 'get_local_time' --> 'to_local_time' 'num' --> 'ranged_sum' 'nprod' --> 'ranged_product' 'power_tower2' --> 'power_tower_right' 'is_friendly' --> 'is_sociable_list' 'limitn' --> 'decreasing_limit'
Removed a couple of unit types for which I could not find sufficient documentation. In particular the Talk page on Wikipedia claims that a couple of the wine bottle sizes they had previously reported could not be verified.
Removed the 'filter_lists' operator because it isn't needed. 'filter' works fine on a list of lists.
I got rid of the 'repeat' operator because I literally couldn't think of a use for it.
I eliminated 'eval_list2' and 'eval_list3' because I couldn't figure out how to contrive a meaningful example, and therefore don't think they would be useful.
The 'recurrence' operator was removed, because it was a duplicate of the 'sequence' operator.
And, of course, the usual bug fixes.
8.4.0
Revamped the prime number operators, and filled in a couple of missing ones.
A number of operator names have changed for more consistency. The old names have been added as aliases.
Added the 'bitwise_xnor', 'from_french_republican', 'to_french_republican', 'to_french_republcan_name' operators.
A fix was made to support using rpn on OS X.
A number of bugs were fixed, and I did extensive touch-ups based on pylint.
8.3.0
Added the 'solve_frobenius' operator and renamed 'denomination_combinations' to 'count_frobenius'.
Added the 'sequence' and 'tau' operators.
The astronomy operators now don't care which order the arguments are in, except for 'angular_separation', which expects the first two arguments to be astronomical bodies.
The aliquot operators now detect if an amicable number chain has been found and terminate.
Help has been filled in for all constants and most of the units.
Added 'does_list_repeat', 'sequence' and 'tau' operator.
Added the 'esterling' unit.
'hyperop' now has several hard-coded results for trivial cases.
Fixed bugs in 'triplet_prime' and 'horizon_distance'.
And the usual minor bug fixes.
8.2.0
Added the 'pythagorean_triples' and 'get_partitions_with_limit' operators.
Added the '_dump_prime_cache' operator.
Added 'filter_max' and 'filter_min' which are shortcuts for much wordier lambda constructions.
Added 'polygonal_pyramidal' and 'polygorial' operators.
The unit test suite has been streamlined so that it runs faster, since it's used so much. Added the -t argument to time individual tests. Added the -f argument to allow filtering which tests will be run (based on a text filter).
And the usual bug fixes.
8.1.1
As usual, I messed up something with the release and have to fix it.
8.1.0
Added the 'get_partitions', 'nth_linear_recurrence' and 'nth_linear_recurrence_with_modulo' operators.
Added 'black_hole_surface_tides' now that I understand it. I also added a more general 'tidal_force' operator.
Added 'is_harmonic_divisor_number', 'is_antiharmonic', 'harmonic_fraction', 'alternating_harmonic_fraction', 'harmonic_residue', 'harmonic_mean', and 'antiharmonic_mean' operators.
Added 'hyperoperator' and 'hyperoperator_right' operators.
Added 'root_mean_square', 'stirling1', 'stirling2', 'ackermann', 'square_super_root', 'cube_super_root' and 'super_root' operators.
Added 'filter_integers', 'filter_on_flags', 'is_k_perfect', 'phitorial', and 'relatively_prime' operators.
If the OEIS text file for a particular sequence has a last line that doesn't end with a linefeed, rpn now parses out the last value correctly, instead of missing it completely.
Finally, after many years complex numbers are also formatted according to the same rules for formatting regular real numbers.
rpnChilada also finally recognizes the Python syntax for imaginary numbers of "99.99999j", i.e., any regular number appended with a 'j'. The 'i' operator remains, but can be considered deprecated, as it is no longer needed.
Added more unit tests and the usual bug fixes.
More help text has been filled in.
8.0.0
The unit conversion code has been heavily refactored and works much better now.
Added the 'base_units' and 'dimensions' operators, mostly for testing purposes.
Added '_dump_conversions' and '_dump_cache', also for testing purposes.
rpnChilada is now smart enough to recognize when an OEIS request has failed, and to ignore the cached result stored as a result. If it detects that the cached value is empty, it will perform the request again and recache the result.
Help now supports units and constant operators after way too long. Filling in the help info for the units and constant operators, along with all the existing help info that's missing, will take a while, and is continuing.
rpnChilada has officially dropped Python 2 support. I rarely tested it anyway.
Added 'wind_chill' and 'heat_index' operators.
The unit tests now confirm that aliases do not collide with other reserved words. The alias creation for generated types has also been cleaned up.
The astronomy functionality has been refactored to support migrating to the skyfield library from pyephem.
Removed the 'break_on' operator because it no longer works. It will be re-implemented in the future.
Added 'to_ethiopian', 'to_ethiopian_name' and 'from_ethiopian' operators for converting to and from the Ethiopian calendar.
7.2.5
I fat-fingered an addition to the requirements.txt file. :-/
7.2.4
Just a bunch of fixes. makeUnits has been improved a bit, and I've validated that all conversions exist, and are consistent.
7.2.3
I messed up the upload for 7.2.2. No code changes, just fixed packaging.
7.2.2
A big change that doesn't affect functionality is that the prime number data now resides in a separate package called rpnChiladaData. This data rarely changes so there's no reason to download it.
A major bug was uncovered after almost a year. rpnChilada thought there were 51920.97 seconds in a day because of a typo. This has been fixed, and I figured out how to detect other similar problems if they exist. This change will be implemented in the next few days.
7.2.1
Unit conversion is now a lot smarter because the automatically-generated area and volume units are generated more intelligently. This means expressions using the "square" and "cubic" units will convert automatically and you won't end up with something like "foot^2/square_mile".
...and yes, a few bug fixes.
7.2.0
Added 'random_element' operator.
The gmpy2 digits( ) function is a much faster way to convert numbers to bases 2 through 62.
Added support for using yafu for factoring.
Added 'aliquot_limit' operator.
Added support for user configuration: 'set_config', 'get_config', 'delete_config' and 'dump_config'.
Added the 'mothers_day', 'fathers_day' and 'advent' operators.
Added the 'molar_gas_constant', 'aliquot_limit' and 'distance' operators (the old 'distance' operator is now called 'geo_distance').
Added unit tests for converting units, and made a few fixes accordingly.
Verbose mode for factoring gets turned on with -D.
Oops, there were two operators named 'distance'. 'distance' now refers to the physics operator and the geography operator is now named 'geo_distance'.
The 'acceleration' operator has been implemented.
The derived Planck units are now calculated, instead of hard-coded.
Block Hole operators: 'black_hole_entropy', 'black_hole_lifetime', 'black_hole_luminosity', 'black_hole_mass', 'black_hole_radius' (was 'schwarzchild_radius'), 'black_hole_surface_area', 'black_hole_surface_gravity', 'black_hole_temperature'
...and the usual bug fixes.
7.0.0
Version 7 represents over 2-1/2 years of work and I neglected to keep track of the changes.
There are probably around 200 more operators since 6.4 was released, and I replaced the factoring code with a much faster verison.
rpn now supports user-defined variables and functions, including persistent variables and functions.
Operators supported by rpn:
( ) [ ] aa_battery abs abundance abundance_ratio acceleration accuracy ackermann_number acos acosh acot acoth acsc acsch add add_digits add_polynomials advent agm aliquot aliquot_limit alpha_particle_mass alternate_signs alternate_signs_2 alternating_factorial alternating_harmonic_fraction alternating_sum alternating_sum_2 and and_all angular_separation angular_size antiharmonic_mean antiprism_area antiprism_volume antitransit_time apery_constant append april argument arrangements ascension asec asech ash_wednesday asin asinh astronomical_dawn astronomical_dusk atan atanh atomic_number atomic_symbol atomic_weight august autumnal_equinox avogadro_number balanced_prime balanced_primes barnesg base base_units beta binomial bitwise_and bitwise_nand bitwise_nor bitwise_not bitwise_or bitwise_xnor bitwise_xor black_hole_entropy black_hole_lifetime black_hole_luminosity black_hole_mass black_hole_radius black_hole_surface_area black_hole_surface_gravity black_hole_surface_tides black_hole_temperature bohr_radius boltzmann_constant build_numbers build_step_numbers calendar calkin_wilf catalan_constant ceiling centered_cube centered_decagonal centered_dodecahedral centered_heptagonal centered_hexagonal centered_icosahedral centered_nonagonal centered_octagonal centered_octahedral centered_pentagonal centered_polygonal centered_square centered_tetrahedral centered_triangular champernowne_constant char christmas classical_electron_radius collate collatz columbus_day combinations combine_digits comma comma_mode compare_lists compositions cone_area cone_volume conjugate continued_fraction convert copeland_erdos_constant cos cosh cot coth coulomb_constant count count_bits count_different_digits count_digits count_divisors count_frobenius cousin_prime cousin_primes crt csc csch cube cube_root cube_super_root cumulative_diffs cumulative_means cumulative_products cumulative_ratios cumulative_sums cyclic_permutations dawn day_time debruijn_sequence decagonal decagonal_centered_square decagonal_heptagonal decagonal_hexagonal decagonal_nonagonal decagonal_octagonal decagonal_pentagonal decagonal_triangular december decimal_grouping decreasing_limit decrement default delete_config density_of_water describe deuteron_mass dhms difference diffs digamma digital_root digits dimensions discriminant distance distance_from_earth distance_from_sun divide divisors dms dodecahedral dodecahedron_area dodecahedron_volume does_list_repeat double double_balanced_prime double_balanced_primes double_factorial dst_end dst_start dump_config dump_variables duplicate_digits duplicate_number duplicate_operator duplicate_term dusk e earth_density earth_gravity earth_mass earth_radius earth_volume earth2 easter echo eclipse_totality eddington_number egyptian_fractions election_day electric_constant electron_charge electron_mass element element_block element_boiling_point element_density element_description element_group element_melting_point element_name element_occurrence element_period element_state energy_equivalence enumerate enumerate_dice enumerate_dice_ epiphany equals_one_of erdos_persistence escape_velocity estimate eta euler_brick euler_mascheroni_constant euler_phi eval eval_list eval_polynomial eval0 eval2 eval3 exp exp10 exponential_range expphi factor factorial false faraday_constant fathers_day february fibonacci fibonorial filter filter_by_index filter_integers filter_max filter_min filter_on_flags filter_ratio filter_show_index find find_palindrome find_polynomial find_sum_of_cubes find_sum_of_squares fine_structure_constant flatten float floor for_each for_each_list fraction friday frobenius from_bahai from_ethiopian from_french_republican from_hebrew from_indian_civil from_islamic from_julian from_mayan from_persian from_unix_time function gallon_of_ethanol gallon_of_gasoline gamma gcd gcd2 generalized_decagonal generalized_heptagonal generalized_nonagonal generalized_octagonal generalized_pentagonal generate_polydivisibles geographic_distance geometric_mean geometric_range geometric_recurrence get_base_k_digits get_combinations get_config get_day get_decimal_digits get_digits get_hour get_left_digits get_left_truncations get_minute get_month get_nonzero_base_k_digits get_nonzero_digits get_partitions get_partitions_with_limit get_permutations get_repeat_combinations get_repeat_permutations get_right_digits get_right_truncations get_second get_time_zone get_time_zone_offset get_variable get_year glaisher_constant good_friday group_elements harmonic_fraction harmonic_mean harmonic_residue has_any_digits has_digits has_only_digits heat_index helion_mass help heptagonal heptagonal_hexagonal heptagonal_pentagonal heptagonal_square heptagonal_triangular heptanacci hex_mode hexagonal hexagonal_pentagonal hexagonal_square hexanacci hms horizon_distance hurwitz_zeta hyperfactorial hyperfine_transition_frequency_of_cesium hyperoperator hyperoperator_right hypotenuse i icosahedral icosahedron_area icosahedron_volume identify identify_mode if imaginary increment independence_day infinity input_radix integer integer_grouping interleave intersection interval_range invert_units is_abundant is_achilles is_antiharmonic is_automorphic is_base_k_pandigital is_base_k_smith_number is_bouncy is_carmichael is_composite is_decreasing is_deficient is_digital_palindrome is_digital_permutation is_divisible is_equal is_even is_generalized_dudeney is_greater is_harmonic_divisor_number is_harshad is_increasing is_integer is_k_hyperperfect is_k_morphic is_k_narcissistic is_k_perfect is_k_polydivisible is_k_semiprime is_k_sphenic is_kaprekar is_kth_power is_less is_narcissistic is_not_equal is_not_greater is_not_less is_not_zero is_odd is_order_k_smith_number is_palindrome_list is_pandigital is_pddi is_pdi is_perfect is_pernicious is_polite is_polydivisible is_power_of_k is_powerful is_prime is_pronic is_rough is_ruth_aaron is_semiprime is_smith_number is_smooth is_sociable_list is_sphenic is_square is_squarefree is_step_number is_strong_pseudoprime is_sum_product is_trimorphic is_unusual is_zero isolated_prime itoi january july june jupiter jupiter_mass jupiter_radius jupiter_revolution jupiter_volume jupiter2 k_fibonacci k_persistence k_sphere_area k_sphere_radius k_sphere_volume khinchin_constant kinetic_energy labor_day lah_number lambda lambertw larger lat_long lcm lcm2 leading_zero leading_zero_mode left leyland_number li limit linear_recurrence linear_recurrence_with_modulo list_from_file location_info log log_gamma log10 log2 logxy long longlong lucas magnetic_constant magnetic_flux_quantum make_continued_fraction make_datetime make_julian_time make_pyth_3 make_pyth_4 mantissa march mars mars_mass mars_radius mars_revolution mars_volume mars2 martin_luther_king_day mass_equivalence max_char max_double max_float max_index max_long max_longlong max_quadlong max_short max_uchar max_ulong max_ulonglong max_uquadlong max_ushort maximum may mean memorial_day mercury mercury_mass mercury_radius mercury_revolution mercury_volume mercury2 merten_constant mills_constant min_char min_double min_float min_index min_long min_longlong min_quadlong min_short min_uchar min_ulong min_ulonglong min_uquadlong min_ushort minimum modulo molar_gas_constant molar_mass monday moon moon_antitransit moon_gravity moon_mass moon_phase moon_radius moon_revolution moon_transit moon_volume moon2 moonrise moonset mothers_day multifactorial multinomial multiply multiply_digit_powers multiply_digits multiply_nonzero_digit_powers multiply_nonzero_digits multiply_polynomials muon_mass name nand nand_all narayana_number nautical_dawn nautical_dusk nearest_int negative negative_infinity neptune neptune_mass neptune_radius neptune_revolution neptune_volume neptune2 neutron_mass new_years_day newton_constant next_antitransit next_first_quarter_moon next_full_moon next_last_quarter_moon next_new_moon next_prime next_primes next_quadruplet_prime next_quadruplet_primes next_quintuplet_prime next_quintuplet_primes next_rising next_setting next_sextuplet_prime next_sextuplet_primes next_transit next_triplet_prime next_triplet_primes next_twin_prime next_twin_primes night_time nonagonal nonagonal_heptagonal nonagonal_hexagonal nonagonal_octagonal nonagonal_pentagonal nonagonal_square nonagonal_triangular nonzero nor nor_all not november now nth_apery nth_bell nth_bell_polynomial nth_bernoulli nth_carol nth_catalan nth_centered_decagonal nth_centered_heptagonal nth_centered_hexagonal nth_centered_nonagonal nth_centered_octagonal nth_centered_pentagonal nth_centered_polygonal nth_centered_square nth_centered_triangular nth_decagonal nth_delannoy nth_harmonic_number nth_heptagonal nth_hexagonal nth_jacobsthal nth_k_thabit nth_k_thabit_2 nth_kynea nth_leonardo nth_linear_recurrence nth_linear_recurrence_with_modulo nth_menage nth_mersenne_exponent nth_mersenne_prime nth_merten nth_mobius nth_motzkin nth_nonagonal nth_octagonal nth_padovan nth_pell nth_pentagonal nth_perfect_number nth_polygonal nth_prime nth_quadruplet_prime nth_quintuplet_prime nth_schroeder nth_schroeder_hipparchus nth_sextuplet_prime nth_square nth_stern nth_sylvester nth_thabit nth_thabit_2 nth_thue_morse nth_triangular nth_triplet_prime nth_twin_prime nth_weekday nth_weekday_of_year nuclear_magneton number_from_file occurrence_cumulative occurrence_ratios occurrences octagonal octagonal_heptagonal octagonal_hexagonal octagonal_pentagonal octagonal_square octagonal_triangular octahedral octahedron_area octahedron_volume octal_mode octanacci october octy_prime octy_primes oeis oeis_comment oeis_ex oeis_name oeis_offset omega_constant or or_all orbital_mass orbital_period orbital_radius orbital_velocity ordinal_name output_radix pack parity partitions pascal_triangle pentagonal pentagonal_square pentagonal_triangular pentanacci pentatope pentecost permutations permute_dice permute_digits permute_lists persistence phi phitorial pi planck_acceleration planck_area planck_charge planck_constant planck_current planck_density planck_electrical_inductance planck_energy planck_energy_density planck_force planck_impedance planck_intensity planck_length planck_magnetic_inductance planck_mass planck_momentum planck_power planck_temperature planck_time planck_viscosity planck_voltage planck_volume planck_volumetric_flow_rate plastic_constant plot plot_complex plot2 pluto pluto_mass pluto_radius pluto_revolution pluto_volume pluto2 politeness polyexp polygamma polygon_area polygonal polygonal_pyramidal polygorial polylog polynomial_power polynomial_product polynomial_sum polyprime polytope power power_tower power_tower_right powerset powmod precision presidents_day previous previous_antitransit previous_first_quarter_moon previous_full_moon previous_last_quarter_moon previous_new_moon previous_prime previous_primes previous_rising previous_setting previous_transit prevost_constant prime prime_pi prime_range primes primitive_units primorial prism_area prism_volume product proton_mass pyramidal pythagorean_triples quadlong quadruple_balanced_prime quadruple_balanced_primes quadruplet_prime quadruplet_primes quintuplet_prime quintuplet_primes radiation_constant radical random random_ random_element random_integer random_integers range ranged_product ranged_sum ratios real reciprocal reduce reduced_planck_constant relatively_prime replace_digits repunit result reversal_addition reverse reverse_digits rhombic_dodecahedral right robbins_constant roll_dice roll_dice_ roll_simple_dice root root_mean_square rotate_digits_left rotate_digits_right round round_by_digits round_by_value rydberg_constant safe_prime saturday saturn saturn_mass saturn_radius saturn_revolution saturn_volume saturn2 sec sech september sequence set_config set_time_zone set_variable sextuplet_prime sextuplet_primes sexy_prime sexy_primes sexy_quadruplet sexy_quadruplets sexy_triplet sexy_triplets shift_left shift_right short show_erdos_persistence show_k_persistence show_persistence shuffle sidereal_year sigma sigma_k sign silver_ratio sin sinh sized_range sky_location slice smaller solar_constant solar_noon solve solve_cubic solve_frobenius solve_quadratic solve_quartic sophie_prime sort sort_descending speed_of_light sphere_area sphere_radius sphere_volume square square_digit_chain square_root square_super_root square_triangular star stddev stefan_boltzmann_constant stella_octangula stirling1_number stirling2_number subfactorial sublist subtract sum sum_digits summer_solstice sums_of_k_nonzero_powers sums_of_k_powers sun sun_antitransit sun_luminosity sun_mass sun_radius sun_volume sun2 sunday sunrise sunset super_prime super_root super_roots superfactorial surface_gravity tan tanh tau tau_mass tetrahedral tetrahedron_area tetrahedron_volume tetranacci tetrate tetrate_right thanksgiving thue_morse_constant thursday tidal_force time_dilation timer timer_mode to_bahai to_bahai_name to_ethiopian to_ethiopian_name to_french_republican to_french_republican_name to_hebrew to_hebrew_name to_indian_civil to_indian_civil_name to_islamic to_islamic_name to_iso to_iso_name to_julian to_julian_day to_lilian_day to_local_time to_mayan to_ordinal_date to_persian to_persian_name to_time_zone to_unix_time to_utc today tomorrow torus_area torus_volume transit_time triangle_area triangular tribonacci trigamma triple_balanced_prime triple_balanced_primes triple_point_of_water triplet_prime triplet_primes triton_mass tropical_year true truncated_octahedral truncated_tetrahedral tuesday twin_prime twin_primes uchar uinteger ulong ulonglong undouble unfilter unfilter_by_index unfilter_ratio unfilter_show_index unfloat union unique unit_roots unlist unpack uquadlong uranus uranus_mass uranus_radius uranus_revolution uranus_volume uranus2 ushort uuid uuid_random vacuum_impedance value van_eck velocity venus venus_mass venus_radius venus_revolution venus_volume venus2 vernal_equinox veterans_day von_klitzing_constant wednesday weekday weekday_name wind_chill winter_solstice x xnor xor y ydhms year_calendar yesterday z zero zeta zeta_zero