"""Straight miter gear (ratio 1:1), KHK SM series: an envelope for assemblies, the solid of revolution of the published outline with the teeth filled in:
hub of diameter B and width H on the XY plane, the back cone out to the outside diameter D at G above the back (the crown), and the tip cone at 45 degrees
up to the total length F, with the bore A through. Axis along Z; the back is on the XY plane. The teeth aren't modelled."""
from steve import Model

designation = "SM1-20"  # Catalogue number

# number: (module, teeth, bore A, hub diameter B, outside diameter D, total length F, crown to back G, hub width H).
# KHK Gears catalogue 2025, Miter Gears, SM table, PDF p. 26, https://khkgears.us/media/lblpmezm/catalog-2025-miter-gears.pdf
GEARS = {
    "SM1-20": (1, 20, 6, 16, 21.41, 13.94, 10.71, 8),
    "SM1-25": (1, 25, 6, 20, 26.41, 15.16, 11.21, 8),
    "SM1-30": (1, 30, 8, 24, 31.41, 17.71, 13.71, 10),
    "SM1.25-20": (1.25, 20, 8, 22, 26.77, 15.27, 11.38, 9),
    "SM1.25-25": (1.25, 25, 8, 25, 33.02, 17.88, 13.26, 9.25),
    "SM1.25-30": (1.25, 30, 10, 30, 39.27, 23.47, 18.13, 13.5),
    "SM1.5-20": (1.5, 20, 8, 26, 32.12, 21.24, 16.06, 13),
    "SM1.5-25": (1.5, 25, 10, 30, 39.62, 22.25, 16.31, 11.5),
    "SM1.5-30": (1.5, 30, 10, 36, 47.12, 28.24, 21.56, 16),
    "SM2-16": (2, 16, 10, 27, 34.83, 19, 15.41, 11.5),
    "SM2-20": (2, 20, 12, 34, 42.83, 24.89, 18.41, 14),
    "SM2-25": (2, 25, 12, 40, 52.83, 24.33, 16.41, 10),
    "SM2-30": (2, 30, 12, 45, 62.83, 29.42, 21.41, 12.5),
    "SM2.5-16": (2.5, 16, 12, 34, 43.53, 21, 16.77, 12),
    "SM2.5-20": (2.5, 20, 14, 42, 53.54, 32.54, 24.77, 19),
    "SM2.5-25": (2.5, 25, 16, 50, 66.04, 30.41, 20.52, 12.5),
    "SM2.5-30": (2.5, 30, 16, 60, 78.54, 36.28, 26.27, 17),
    "SM3-16": (3, 16, 14, 42, 52.24, 23, 18.12, 13),
    "SM3-20": (3, 20, 16, 50, 64.24, 39.84, 30.12, 23),
    "SM3-25": (3, 25, 20, 60, 79.24, 37.81, 24.62, 15),
    "SM3-30": (3, 30, 20, 70, 94.24, 45.47, 32.12, 20),
}

module, teeth, A, B, D, F, G, H = GEARS[designation]
tip_radius = D / 2 - (F - G)
model = Model()
with model.sketch("outline", on="XZ", name="Outline") as sk:
    sk.polyline("profile", [(A / 2, 0), (B / 2, 0), (B / 2, H), (D / 2, G), (tip_radius, F), (A / 2, F)], closed=True)
model.revolve("gear", "outline", axis="Z", name="Gear")
model.material("steel-generic", color="#b4b8bd")
result = model.result()