Paranoia: The Program

M Readers might visit the Arithmetic Study first.

What is Paranoia?

What Paranoia isn't

Versions of Paranoia

Semiliterate programming

Pocket Guide to Python for Paranoia

Opening lines of code

Historical comment

Global variables and flags

Execution begins

Opening messages

charcteristics()

Utility functions

Pause for user input

Larger integers

find_big_2_to_nth()

find_radix_from_big_2_to_nth()

find_precision_big_B_to_nth()

Refining ulps of 1±

find_ulp_of_one_plus() – the setup

find_ulp_of_one_plus() – the iteration

find_ulp_of_one_minus() – the setup

find_ulp_of_one_minus() – the iteration

Recalculate radix

Compare ulps of 1

Useful constants

compute_A_and_inverse()

compute_C_and_inverse()

compute_H_and_inverse()

compute_safe_ulps_of_one()

standardize_fractional_precision()

first_prec_tests

test_for_extra_precise_subepressions()

test_normalized_subtraction()

does_mult_have_guard_digit()

test_mult_low_digits()

does_div_have_guard_digit()

does_add_sub_have_guard_digit()

how_does_mult_round()

how_does_div_round()

how_does_add_sub_round()

rounding_symmetry_test()

has_sticky_bit()

test_mult_commutivity()

sqrt_single_bound_test()

test_sqrt_int()

test_sqrt_monotonicity()

update_sqrt_errors()

sqrt_num_theory

num_theory_sqrt_test()

num_theory_sqrt_value()

test_power_result()

test_integer_powers()

print_if_err_cnt_positive()

tiny_powers_of_B()

tiny_values_and_difference()

test_for_pseudo_zero()

does_tiny_value_misbehave()

is_gradual_underflow_IEEE()

test_tiny_differences()

test_for_narrow_range()

test_extreme_underflow()

test_x_to_xp1_over_xm1()

extreme_z_to_q()

big_powers_of_B()

no_trap_overflow_threshold()

trap_overflow_threshold()

oflow_comparisions

tiny_sqrt_tests

test_sqrt_tiny()

test_sqrt_big()

range_unit_div_zero

check_range_balance()

test_unit_ratios()

test_div_by_zero()

© 2024 Jerome Coonen