raised_wall.py

import math
import numpy
from fractions import Fraction

m = [15.25, 16, 15.25, 16.75, 16, 15.25, 16.75, 16, 12.25, 3]
m_abs = []

runner = 0
for i in m:
    runner += i
    m_abs.append(runner)

print(m_abs)

slope = numpy.arctan(0.5/12)
print(f"Slope: {slope * 180 / math.pi} degreees (0.5\" in 12\")")

m_abs.append(144)

base_high = 96

# raise_total = base_high * numpy.tan(slope)
print(f"Total raise: {base_high * numpy.tan(slope)}")


class Frac:
    def __init__(self, val, precision=1/16):
        self.val = float(val)
        self.precision = precision

    def __str__(self):
        whole = math.floor(self.val)
        frac = self.val - whole

        precision = [2.0, 4.0, 8.0, 16.0]
        
        for p in precision:
            r = math.floor(frac / (1.0 / p))
            rem = frac - r * (1.0 / p)
            if rem < self.precision:
                break

        if r > 0:
            return f"{whole}~{r}/{round(p)}".rjust(10)
        else:
            return f"{whole}".rjust(10)
        
    def __repr__(self):
        return str(self)

runs = []
studs = []
studs_actual = []

for i in m_abs:
    run = i / numpy.cos(slope)
    runs.append(Frac(run))

    stud = i * numpy.tan(slope)
    studs.append(Frac(stud))

    studs_actual.append(Frac(base_high - stud))
    
    
print("Base")
print([Frac(i) for i in m_abs])
print("\nRuns")
print(runs)

print("\nStuds extra/cut")
print(studs)

print("\nStuds actual")
print(studs_actual)

# base_high * numpy.tan(slope)