F64.to_nat: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/spec/math/f64.bend as F64
Lines 364-368 of bend-collections-laws-math@1.0.0.0/spec/math/f64.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&start_line=364&end_line=368

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-math@1.0.0.0/src/math/f64.bend as F
import bend-collections-laws-math@1.0.0.0/src/math/num.bend as N

# x truncated toward zero as a w-bit unsigned integer: NaN is a domain error;
# an infinity, a truncation below zero or one of 2^w or more an overflow
# (3.1: int(x) truncates; 2.6: fixed widths raise instead of wrapping)
def to_nat(+x: F.F64, +w: Nat) -> Result<&2, &2, N.NumError, Nat>:
  pick(Result<&2, &2, N.NumError, Nat>, is_nan(x), Fail{N.BadDomain{}}, pick(Result<&2, &2, N.NumError, Nat>, Bool.or(is_inf(x), Bool.or(Bool.and(sign(x), Bool.not(Nat.is_eq(int_part(x), 0n))), Bool.not(C.fits(w, int_part(x))))), Fail{N.Overflow{}}, Done{int_part(x)}))

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.or
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=fits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=int_part
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=is_inf
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=is_nan
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=pick
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=sign
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=F64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/num.bend&name=NumError