neil-pollock-airfoils/neil_pollock_foil.py at main · michal-dobrogost/neil-pollock-airfoils · GitHub

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from math import sqrt
import matplotlib.pyplot as plt
import pymupdf # or import fitz

# See: http://www.boat-links.com/foils.html
# x is the position along the chord from 0 to 1
# y is the thickness at a given value of x
# t is the maximum thickness as a fraction of the chord

leading = 40
trailing = 40
trailing_cut_mm = 3
length_mm = 266
thickness_mm = 18.4

print_line_width_mm = 0.2
print_offset = 90

def genLeading(xle, x, t):
    y = (t / 2) * ((8 * sqrt(x) / (3 * sqrt(xle))) - (2 * x / xle) + (pow(x,2) / (3*pow(xle,2))))
    return y

def genTrailing(xte, x1, t):
    y = (t / 2) * (1 - 3 * pow(x1,2) / (2 * pow(xte,2)) + pow(x1,3) / (2 * pow(xte,3)))
    #y = (t / 2) * ((1 - 3 * pow(x,2)) / (2 * pow(xte,2)))
    #y = (t / 2) * (pow(x,3) / (2 * pow(xte,3)))
    return y

def genPollock(l, t, xle, xte):
    data = []
    for i in range(1001):
        x = i / 1000.0
        if x > 1:
            break
        if x <= xle:
            data.append((x*l, genLeading(xle,x,t)))
        elif x + xte >= 1:
            x1 = x - (1 - xte)
            data.append((x*l, genTrailing(xte,x1,t)))
        else:
            data.append((x*l, t/2))
    return data

def mm_to_pts(x):
    return x * 72 / 25.4

def relLine(page, xy, offset):
    (x, y) = xy
    (ox, oy) = offset
    page.draw_line(xy, (x + ox, y + oy), color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))

def text(page, coord, text, rotate=0):
    page.insert_text(coord, text=text, fontname="helv", fontsize=6, color=(0, 0, 0), rotate=rotate, render_mode=0)


################################################################################
## leading-flat-trailing

foil_x = print_offset + mm_to_pts(20)
foil_y = print_offset + mm_to_pts(3)

doc = pymupdf.open()
page = doc.new_page()
prev = None
for xy in genPollock(length_mm, thickness_mm, leading/100, trailing/100):
    # swap x/y to get more page space vertically
    y = foil_y + mm_to_pts(xy[0])
    x = foil_x - mm_to_pts(xy[1])
    if prev is not None:
        page.draw_line(prev, (x,y), color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
    prev = (x,y)

# Leading edge
relLine(page, (foil_x, foil_y), (mm_to_pts(thickness_mm/2), 0)) # flat
relLine(page, (foil_x, foil_y), (0, -3)) # flat start tick
relLine(page, (foil_x + mm_to_pts(thickness_mm/2), foil_y), (0, -50)) # flat end tick

# trailing edge
relLine(page, (foil_x, foil_y + mm_to_pts(length_mm)), (mm_to_pts(thickness_mm/2), 0)) # flat
relLine(page, (foil_x, foil_y + mm_to_pts(length_mm)), (0, 3)) # flat start tick
relLine(page, (foil_x + mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm)), (0, 50)) # flat end tick

if trailing_cut_mm is not None:
    relLine(page, (foil_x, foil_y + mm_to_pts(length_mm - trailing_cut_mm)), (mm_to_pts(thickness_mm/2), 0))
    relLine(page, (foil_x + mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm - trailing_cut_mm)), (0, mm_to_pts(trailing_cut_mm - 0.5)))
    text(page, (foil_x - mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm)), text='cut', rotate=90)

# leading edge / trailing edge ticks
text(page, (foil_x - mm_to_pts(thickness_mm/2) - 3, foil_y + mm_to_pts(length_mm * 0.5 * (leading/100))), text="leading", rotate=90)
relLine(page, (foil_x - mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm * (leading/100))), (-3, 0))

text(page, (foil_x - mm_to_pts(thickness_mm/2) - 3, foil_y + 0.5*mm_to_pts(length_mm * (leading/100)) + 0.5 * mm_to_pts(length_mm - length_mm * (trailing/100))), text="flat", rotate=90)

relLine(page, (foil_x - mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm - length_mm * (trailing/100))), (-3, 0))
text(page, (foil_x - mm_to_pts(thickness_mm/2) - 3, foil_y + mm_to_pts(length_mm - length_mm * 0.5 * (trailing/100))), text="trailing", rotate=90)

# Horizontal scale
page.draw_line((print_offset/2, print_offset/2), (print_offset/2 + mm_to_pts(100), print_offset/2), color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
page.draw_line(
    (print_offset/2 + mm_to_pts(100), print_offset/2 + 3),
    (print_offset/2 + mm_to_pts(100), print_offset/2 - 3),
    color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
text(page, (print_offset/2 + mm_to_pts(50), print_offset/2 - 3), text="100mm", rotate=0)

# Vertical scale
page.draw_line((print_offset/2, print_offset/2), (print_offset/2, mm_to_pts(100) + print_offset/2), color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
page.draw_line(
    (print_offset/2 - 3, mm_to_pts(100) + print_offset/2),
    (print_offset/2 + 3, mm_to_pts(100) + print_offset/2),
    color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
text(page, (print_offset/2 - 3, print_offset/2 + mm_to_pts(50)), text="100mm", rotate=90)


################################################################################
## trailing-flat-leading

foil_x = print_offset + mm_to_pts(70)
foil_y = print_offset + mm_to_pts(3)

prev = None
for xy in genPollock(length_mm, thickness_mm, leading/100, trailing/100):
    # swap x/y to get more page space vertically
    y = foil_y + mm_to_pts(length_mm - xy[0])
    x = foil_x - mm_to_pts(xy[1])
    if prev is not None:
        page.draw_line(prev, (x,y), color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
    prev = (x,y)

# Leading edge
relLine(page, (foil_x, foil_y), (mm_to_pts(thickness_mm/2), 0)) # flat
relLine(page, (foil_x, foil_y), (0, -3)) # flat start tick
relLine(page, (foil_x + mm_to_pts(thickness_mm/2), foil_y), (0, -50)) # flat end tick

# trailing edge
relLine(page, (foil_x, foil_y + mm_to_pts(length_mm)), (mm_to_pts(thickness_mm/2), 0)) # flat
relLine(page, (foil_x, foil_y + mm_to_pts(length_mm)), (0, 3)) # flat start tick
relLine(page, (foil_x + mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm)), (0, 50)) # flat end tick

if trailing_cut_mm is not None:
    relLine(page, (foil_x, foil_y + mm_to_pts(trailing_cut_mm)), (mm_to_pts(thickness_mm/2), 0))
    relLine(page, (foil_x + mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(trailing_cut_mm)), (0, mm_to_pts(0.5 - trailing_cut_mm)))
    text(page, (foil_x - mm_to_pts(thickness_mm/2), foil_y + 8), text='cut', rotate=90)

# leading edge / trailing edge ticks
relLine(page, (foil_x - mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm * (trailing/100))), (-3, 0))
text(page, (foil_x - mm_to_pts(thickness_mm/2) - 3, foil_y + mm_to_pts(length_mm * 0.5 * (trailing/100))), text="trailing", rotate=90)

text(page, (foil_x - mm_to_pts(thickness_mm/2) - 3, foil_y + 0.5*mm_to_pts(length_mm - length_mm * (leading/100)) + 0.5 * mm_to_pts(length_mm * (trailing/100))), text="flat", rotate=90)

text(page, (foil_x - mm_to_pts(thickness_mm/2) - 3, foil_y + mm_to_pts(length_mm - length_mm * 0.5 * (leading/100))), text="leading", rotate=90)
relLine(page, (foil_x - mm_to_pts(thickness_mm/2), foil_y + mm_to_pts(length_mm - length_mm * (leading/100))), (-3, 0))

################################################################################
## legend & scales

# Legend
page.insert_text((mm_to_pts(130), print_offset/2 + mm_to_pts(1)), text=f"Neil Pollock Flat\nLength: {length_mm}mm\nThickness: {thickness_mm}mm / {length_mm/thickness_mm:.1f}%\nLeading Edge: {leading}%\nTrailing Edge: {trailing}%\nTrailing Cut: {trailing_cut_mm}mm", fontname="helv", fontsize=12, color=(0, 0, 0), rotate=0, render_mode=0)

# Horizontal scale
page.draw_line((print_offset/2, print_offset/2), (print_offset/2 + mm_to_pts(100), print_offset/2), color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
page.draw_line(
    (print_offset/2 + mm_to_pts(100), print_offset/2 + 3),
    (print_offset/2 + mm_to_pts(100), print_offset/2 - 3),
    color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
text(page, (print_offset/2 + mm_to_pts(50), print_offset/2 - 3), text="100mm", rotate=0)

# Vertical scale
page.draw_line((print_offset/2, print_offset/2), (print_offset/2, mm_to_pts(100) + print_offset/2), color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
page.draw_line(
    (print_offset/2 - 3, mm_to_pts(100) + print_offset/2),
    (print_offset/2 + 3, mm_to_pts(100) + print_offset/2),
    color=(0, 0, 0), width=mm_to_pts(print_line_width_mm))
text(page, (print_offset/2 - 3, print_offset/2 + mm_to_pts(50)), text="100mm", rotate=90)


doc.save(f"neil_polock_{length_mm}x{thickness_mm}_L{leading}_T{trailing}.pdf")
doc.close()