* math: implement discrete and continuous distributions
Implement a comprehensive set of continuous and discrete probability
distributions with support for PDF, CDF, inverse CDF, random sampling,
mean, and variance calculations.
The following distributions are implemented:
* Normal
* Uniform
* Exponential
* Chi-Squared
* F-Distribution
* Student t
* Binomial
* Poisson
* update releasenotes.md
* Formatting
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Co-authored-by: Christoffer Lerno <christoffer@aegik.com>
* stdlib: optimize math::next_power_of_2 to O(1) using hardware CLZ
- updated DString.reserve to use this
* bit smearing
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Co-authored-by: Christoffer Lerno <christoffer@aegik.com>
* fix typos in comments and strings
* fix typos in symbols (and some comments/strings)
* fix typos in releasenotes.md
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Co-authored-by: Christoffer Lerno <christoffer@aegik.com>
* math: Setting the bits of floating-point numbers
Added macros which set all 32 bits of a float, the lower 32 bits of
a double, and the upper 32 bits of a double. Some changes were made to
older code to use these macros.
* Replaced code with bitsetting macros in __tan.c3 and tan.c3
* math: tests for word macros and release notes
Tests were written for the word macros, which include getting and
setting a float with a uint and getting and setting the high or low word
of a double with a uint.
Release notes were updated to include the word setter macros.
* math_tests: rewrote test_atan()
Rewrote the atan test so that analagous checks are symmetrically
performed for all possible inputs: int, float, and double. The total
number of tests has increased while reducing the total amount of
code.
* math_tests: inverse trig and inverse hyperbolic trig
Tests were written for acos, acosh, asin, asinh, and atanh.
* math: cos macro missing values::promote_int
The cosine macro can't take an integer input without this fix. You can
see that some of the other macros, like the sine macro, have this.
* math_tests: trig and exponential
Wrote tests for the trigonometric macros as well as the
exponential macro. The hyperbolic trig macros use the exponential macro
rather than any LLVM instrinsics (for now at least, LLVM 19 has the proper
compiler intrinsics).
* math: float comparison
In the math module two macros were defined to assist in comparing
floating-point numbers for a given tolerance.
The trig, hyperbolic trig, and exponential tests in the math_tests module
were updated to use these macros instead of direct comparison.
Add gcd and lcm functions to calculate the greatest common divisor (gcd)
and the least common multiple (lcm) to the math module. This will also
work for BigInts that implements its own gcd/lcm.