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test(base): pin the native U32, Nat and Bool ops to Base's defs #1630

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test(base): pin the native U32, Nat and Bool ops to Base's defs #1630

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149 changes: 149 additions & 0 deletions tests/base/nat_native_model.bend
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Original file line number Diff line number Diff line change
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# Nat's ops and U32.to_nat run as native C and JS (comp.ts
# OPERATIONS), not as Base's defs.
# model proves by {==} that the calls equal these values in Base's defs,
# so --verdict pins the model; main prints the same calls, so every lane
# must print what the model computes. The values are each lane's answers.
import Base

def calls() -> List<Nat>:
[
Nat.add(0n, 0n),
Nat.add(0n, 7n),
Nat.add(7n, 0n),
Nat.add(3n, 10n),
Nat.add(10n, 3n),
Nat.add(31n, 64n),
Nat.add(100n, 7n),
Nat.add(64n, 64n),
Nat.sub(0n, 0n),
Nat.sub(0n, 7n),
Nat.sub(7n, 0n),
Nat.sub(3n, 10n),
Nat.sub(10n, 3n),
Nat.sub(31n, 64n),
Nat.sub(100n, 7n),
Nat.sub(64n, 64n),
Nat.mul(0n, 0n),
Nat.mul(0n, 7n),
Nat.mul(7n, 0n),
Nat.mul(3n, 10n),
Nat.mul(10n, 3n),
Nat.mul(31n, 64n),
Nat.mul(100n, 7n),
Nat.mul(64n, 64n),
Nat.div(0n, 0n),
Nat.div(0n, 7n),
Nat.div(7n, 0n),
Nat.div(3n, 10n),
Nat.div(10n, 3n),
Nat.div(31n, 64n),
Nat.div(100n, 7n),
Nat.div(64n, 64n),
Nat.mod(0n, 0n),
Nat.mod(0n, 7n),
Nat.mod(7n, 0n),
Nat.mod(3n, 10n),
Nat.mod(10n, 3n),
Nat.mod(31n, 64n),
Nat.mod(100n, 7n),
Nat.mod(64n, 64n),
Nat.min(0n, 0n),
Nat.min(0n, 7n),
Nat.min(7n, 0n),
Nat.min(3n, 10n),
Nat.min(10n, 3n),
Nat.min(31n, 64n),
Nat.min(100n, 7n),
Nat.min(64n, 64n),
Nat.max(0n, 0n),
Nat.max(0n, 7n),
Nat.max(7n, 0n),
Nat.max(3n, 10n),
Nat.max(10n, 3n),
Nat.max(31n, 64n),
Nat.max(100n, 7n),
Nat.max(64n, 64n),
Nat.double(0n),
Nat.double(7n),
Nat.double(100n),
Nat.pow(0n, 0n),
Nat.pow(2n, 5n),
Nat.pow(3n, 3n),
U32.to_nat(0),
U32.to_nat(255),
U32.to_nat(1000)
]

def model() -> {calls() == [
0n,
7n,
7n,
13n,
13n,
95n,
107n,
128n,
0n,
0n,
7n,
0n,
7n,
0n,
93n,
0n,
0n,
0n,
0n,
30n,
30n,
1984n,
700n,
4096n,
0n,
0n,
0n,
0n,
3n,
0n,
14n,
1n,
0n,
0n,
7n,
3n,
1n,
31n,
2n,
0n,
0n,
0n,
0n,
3n,
3n,
31n,
7n,
64n,
0n,
7n,
7n,
10n,
10n,
64n,
100n,
64n,
0n,
14n,
200n,
1n,
32n,
27n,
0n,
255n,
1000n
] : List<Nat>}:
{==}

def main() -> List<Nat>:
calls()

#|[0n, 7n, 7n, 13n, 13n, 95n, 107n, 128n, 0n, 0n, 7n, 0n, 7n, 0n, 93n, 0n, 0n, 0n, 0n, 30n, 30n, 1984n, 700n, 4096n, 0n, 0n, 0n, 0n, 3n, 0n, 14n, 1n, 0n, 0n, 7n, 3n, 1n, 31n, 2n, 0n, 0n, 0n, 0n, 3n, 3n, 31n, 7n, 64n, 0n, 7n, 7n, 10n, 10n, 64n, 100n, 64n, 0n, 14n, 200n, 1n, 32n, 27n, 0n, 255n, 1000n]
99 changes: 99 additions & 0 deletions tests/base/u32_native_compare.bend
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# U32's comparisons run as native C and JS (comp.ts OPERATIONS),
# not as Base's defs.
# model proves by {==} that the calls equal these values in Base's defs,
# so --verdict pins the model; main prints the same calls, so every lane
# must print what the model computes. The values are each lane's answers.
import Base

def calls() -> List<Bool>:
[
U32.is_eq(0, 0),
U32.is_eq(0, 4294967295),
U32.is_eq(4294967295, 0),
U32.is_eq(2147483648, 2147483647),
U32.is_eq(2147483647, 2147483648),
U32.is_eq(4294967295, 4294967295),
U32.is_ne(0, 0),
U32.is_ne(0, 4294967295),
U32.is_ne(4294967295, 0),
U32.is_ne(2147483648, 2147483647),
U32.is_ne(2147483647, 2147483648),
U32.is_ne(4294967295, 4294967295),
U32.is_lt(0, 0),
U32.is_lt(0, 4294967295),
U32.is_lt(4294967295, 0),
U32.is_lt(2147483648, 2147483647),
U32.is_lt(2147483647, 2147483648),
U32.is_lt(4294967295, 4294967295),
U32.is_le(0, 0),
U32.is_le(0, 4294967295),
U32.is_le(4294967295, 0),
U32.is_le(2147483648, 2147483647),
U32.is_le(2147483647, 2147483648),
U32.is_le(4294967295, 4294967295),
U32.is_gt(0, 0),
U32.is_gt(0, 4294967295),
U32.is_gt(4294967295, 0),
U32.is_gt(2147483648, 2147483647),
U32.is_gt(2147483647, 2147483648),
U32.is_gt(4294967295, 4294967295),
U32.is_ge(0, 0),
U32.is_ge(0, 4294967295),
U32.is_ge(4294967295, 0),
U32.is_ge(2147483648, 2147483647),
U32.is_ge(2147483647, 2147483648),
U32.is_ge(4294967295, 4294967295),
U32.is_zero(0),
U32.is_zero(1),
U32.is_zero(2147483648),
U32.is_zero(4294967295)
]

def model() -> {calls() == [
True{},
False{},
False{},
False{},
False{},
True{},
False{},
True{},
True{},
True{},
True{},
False{},
False{},
True{},
False{},
False{},
True{},
False{},
True{},
True{},
False{},
False{},
True{},
True{},
False{},
False{},
True{},
True{},
False{},
False{},
True{},
False{},
True{},
True{},
False{},
True{},
True{},
False{},
False{},
False{}
] : List<Bool>}:
{==}

def main() -> List<Bool>:
calls()

#|[True{}, False{}, False{}, False{}, False{}, True{}, False{}, True{}, True{}, True{}, True{}, False{}, False{}, True{}, False{}, False{}, True{}, False{}, True{}, True{}, False{}, False{}, True{}, True{}, False{}, False{}, True{}, True{}, False{}, False{}, True{}, False{}, True{}, True{}, False{}, True{}, True{}, False{}, False{}, False{}]
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