# TRITIUM-PROVENANCE sha256=7ea656eac0d4b3a5a4d949551942caf242839241e8663c45c8f38ed52b3eca27 lang=python
# TRITIUM-HEIGHT high=0.00 mid=0.30 low=0.70 fns=3
# TRITIUM-PSEUDO fn=transform3d
#| fn transform3d(x, y, z, r00, r01, r02, r10, r11, r12, r20, r21, r22, tx, ty, tz, out):
#|   out[0] = r00 * x + r01 * y + r02 * z + tx
#|   out[1] = r10 * x + r11 * y + r12 * z + ty
#|   out[2] = r20 * x + r21 * y + r22 * z + tz
#|   return 1
# TRITIUM-HEIGHT fn=transform3d high=0.00 mid=0.27 low=0.73 role=algo_mid
def transform3d(x: float, y: float, z: float, r00: float, r01: float, r02: float, r10: float, r11: float, r12: float, r20: float, r21: float, r22: float, tx: float, ty: float, tz: float, out: list[float]) -> int:
    out[0] = r00 * x + r01 * y + r02 * z + tx
    out[1] = r10 * x + r11 * y + r12 * z + ty
    out[2] = r20 * x + r21 * y + r22 * z + tz
    return 1

# TRITIUM-PSEUDO fn=project3d
#| fn project3d(x, y, z, f, out):
#|   if z == 0.0:
#|     out[0] = 0.0
#|     out[1] = 0.0
#|     return 0
#|   out[0] = f * x / z
#|   out[1] = f * y / z
#|   return 1
# TRITIUM-HEIGHT fn=project3d high=0.00 mid=0.39 low=0.61 role=algo_mid
def project3d(x: float, y: float, z: float, f: float, out: list[float]) -> int:
    if z == 0.0:
        out[0] = 0.0
        out[1] = 0.0
        return 0
    out[0] = f * x / z
    out[1] = f * y / z
    return 1

# TRITIUM-PSEUDO fn=viewport
#| fn viewport(u, v, w, h, out):
#|   out[0] = (u + 1.0) * 0.5 * w
#|   out[1] = (1.0 - v) * 0.5 * h
#|   return 1
# TRITIUM-HEIGHT fn=viewport high=0.00 mid=0.25 low=0.75 role=algo_mid
def viewport(u: float, v: float, w: float, h: float, out: list[float]) -> int:
    out[0] = (u + 1.0) * 0.5 * w
    out[1] = (1.0 - v) * 0.5 * h
    return 1