added tests, produced a flamegraph. VM seems to be the bottleneck
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]
|
||||
|
||||
[[package]]
|
||||
name = "regex"
|
||||
version = "1.7.1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "48aaa5748ba571fb95cd2c85c09f629215d3a6ece942baa100950af03a34f733"
|
||||
dependencies = [
|
||||
"regex-syntax",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "regex-syntax"
|
||||
version = "0.6.28"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "456c603be3e8d448b072f410900c09faf164fbce2d480456f50eea6e25f9c848"
|
||||
|
||||
[[package]]
|
||||
name = "ryu"
|
||||
version = "1.0.12"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "7b4b9743ed687d4b4bcedf9ff5eaa7398495ae14e61cba0a295704edbc7decde"
|
||||
|
||||
[[package]]
|
||||
name = "same-file"
|
||||
version = "1.0.6"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "93fc1dc3aaa9bfed95e02e6eadabb4baf7e3078b0bd1b4d7b6b0b68378900502"
|
||||
dependencies = [
|
||||
"winapi-util",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "scopeguard"
|
||||
version = "1.1.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "d29ab0c6d3fc0ee92fe66e2d99f700eab17a8d57d1c1d3b748380fb20baa78cd"
|
||||
|
||||
[[package]]
|
||||
name = "serde"
|
||||
version = "1.0.152"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "bb7d1f0d3021d347a83e556fc4683dea2ea09d87bccdf88ff5c12545d89d5efb"
|
||||
dependencies = [
|
||||
"serde_derive",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_derive"
|
||||
version = "1.0.152"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "af487d118eecd09402d70a5d72551860e788df87b464af30e5ea6a38c75c541e"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_json"
|
||||
version = "1.0.93"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "cad406b69c91885b5107daf2c29572f6c8cdb3c66826821e286c533490c0bc76"
|
||||
dependencies = [
|
||||
"itoa",
|
||||
"ryu",
|
||||
"serde",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "sha2"
|
||||
version = "0.10.6"
|
||||
|
@ -308,6 +701,12 @@ version = "0.12.6"
|
|||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "8ae9980cab1db3fceee2f6c6f643d5d8de2997c58ee8d25fb0cc8a9e9e7348e5"
|
||||
|
||||
[[package]]
|
||||
name = "textwrap"
|
||||
version = "0.16.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "222a222a5bfe1bba4a77b45ec488a741b3cb8872e5e499451fd7d0129c9c7c3d"
|
||||
|
||||
[[package]]
|
||||
name = "thiserror"
|
||||
version = "1.0.38"
|
||||
|
@ -328,6 +727,16 @@ dependencies = [
|
|||
"syn",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "tinytemplate"
|
||||
version = "1.2.1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "be4d6b5f19ff7664e8c98d03e2139cb510db9b0a60b55f8e8709b689d939b6bc"
|
||||
dependencies = [
|
||||
"serde",
|
||||
"serde_json",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "typenum"
|
||||
version = "1.16.0"
|
||||
|
@ -358,6 +767,112 @@ version = "0.9.4"
|
|||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "49874b5167b65d7193b8aba1567f5c7d93d001cafc34600cee003eda787e483f"
|
||||
|
||||
[[package]]
|
||||
name = "walkdir"
|
||||
version = "2.3.2"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "808cf2735cd4b6866113f648b791c6adc5714537bc222d9347bb203386ffda56"
|
||||
dependencies = [
|
||||
"same-file",
|
||||
"winapi",
|
||||
"winapi-util",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen"
|
||||
version = "0.2.84"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "31f8dcbc21f30d9b8f2ea926ecb58f6b91192c17e9d33594b3df58b2007ca53b"
|
||||
dependencies = [
|
||||
"cfg-if",
|
||||
"wasm-bindgen-macro",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-backend"
|
||||
version = "0.2.84"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "95ce90fd5bcc06af55a641a86428ee4229e44e07033963a2290a8e241607ccb9"
|
||||
dependencies = [
|
||||
"bumpalo",
|
||||
"log",
|
||||
"once_cell",
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn",
|
||||
"wasm-bindgen-shared",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-macro"
|
||||
version = "0.2.84"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "4c21f77c0bedc37fd5dc21f897894a5ca01e7bb159884559461862ae90c0b4c5"
|
||||
dependencies = [
|
||||
"quote",
|
||||
"wasm-bindgen-macro-support",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-macro-support"
|
||||
version = "0.2.84"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "2aff81306fcac3c7515ad4e177f521b5c9a15f2b08f4e32d823066102f35a5f6"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn",
|
||||
"wasm-bindgen-backend",
|
||||
"wasm-bindgen-shared",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-shared"
|
||||
version = "0.2.84"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "0046fef7e28c3804e5e38bfa31ea2a0f73905319b677e57ebe37e49358989b5d"
|
||||
|
||||
[[package]]
|
||||
name = "web-sys"
|
||||
version = "0.3.61"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "e33b99f4b23ba3eec1a53ac264e35a755f00e966e0065077d6027c0f575b0b97"
|
||||
dependencies = [
|
||||
"js-sys",
|
||||
"wasm-bindgen",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "winapi"
|
||||
version = "0.3.9"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "5c839a674fcd7a98952e593242ea400abe93992746761e38641405d28b00f419"
|
||||
dependencies = [
|
||||
"winapi-i686-pc-windows-gnu",
|
||||
"winapi-x86_64-pc-windows-gnu",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "winapi-i686-pc-windows-gnu"
|
||||
version = "0.4.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "ac3b87c63620426dd9b991e5ce0329eff545bccbbb34f3be09ff6fb6ab51b7b6"
|
||||
|
||||
[[package]]
|
||||
name = "winapi-util"
|
||||
version = "0.1.5"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "70ec6ce85bb158151cae5e5c87f95a8e97d2c0c4b001223f33a334e3ce5de178"
|
||||
dependencies = [
|
||||
"winapi",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "winapi-x86_64-pc-windows-gnu"
|
||||
version = "0.4.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f"
|
||||
|
||||
[[package]]
|
||||
name = "windows-sys"
|
||||
version = "0.45.0"
|
||||
|
|
11
Cargo.toml
11
Cargo.toml
|
@ -1,14 +1,21 @@
|
|||
[package]
|
||||
name = "brute_lower_bounds"
|
||||
name = "adversary"
|
||||
version = "0.1.0"
|
||||
edition = "2021"
|
||||
|
||||
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
|
||||
[lib]
|
||||
name = "adversary"
|
||||
crate-type = ["cdylib"]
|
||||
crate-type = ["cdylib", "rlib"]
|
||||
|
||||
[dependencies]
|
||||
pest = "2.5.5"
|
||||
pest_derive = "2.5.5"
|
||||
pyo3 = { version = "0.18.0", features = ["extension-module"] }
|
||||
|
||||
[dev-dependencies]
|
||||
criterion = "0.4.0"
|
||||
|
||||
[[bench]]
|
||||
name = "search"
|
||||
harness = false
|
|
@ -0,0 +1,11 @@
|
|||
criterion:
|
||||
cargo bench
|
||||
|
||||
flamegraph:
|
||||
cargo flamegraph --bench search -- --bench
|
||||
|
||||
flamegraph-debug:
|
||||
cargo flamegraph --dev -o debug_flamegraph.svg --bench search -- --bench
|
||||
|
||||
|
||||
.PHONY: criterion flamegraph flamegraph-debug
|
|
@ -0,0 +1,23 @@
|
|||
#[macro_use]
|
||||
extern crate criterion;
|
||||
extern crate adversary;
|
||||
|
||||
use criterion::{criterion_group, criterion_main, Criterion};
|
||||
|
||||
pub fn criterion_benchmark(c: &mut Criterion) {
|
||||
pyo3::prepare_freethreaded_python();
|
||||
pyo3::Python::with_gil(|_py| {
|
||||
let obj = adversary::Prover::py_new(
|
||||
"= (ham x) k".to_string(),
|
||||
"= (ham y) (+ k 1)".to_string(),
|
||||
"<= ham (^ x y) p".to_string(),
|
||||
)
|
||||
.unwrap();
|
||||
c.bench_function("find_bounds", |b| {
|
||||
b.iter(|| criterion::black_box(obj.find_bounds(10, 5, 3)));
|
||||
});
|
||||
})
|
||||
}
|
||||
|
||||
criterion_group!(benches, criterion_benchmark);
|
||||
criterion_main!(benches);
|
File diff suppressed because one or more lines are too long
After Width: | Height: | Size: 399 KiB |
|
@ -3,7 +3,7 @@ requires = ["maturin>=0.14,<0.15"]
|
|||
build-backend = "maturin"
|
||||
|
||||
[project]
|
||||
name = "brute_lower_bounds"
|
||||
name = "adversary"
|
||||
requires-python = ">=3.7"
|
||||
classifiers = [
|
||||
"Programming Language :: Rust",
|
||||
|
|
120
src/lib.rs
120
src/lib.rs
|
@ -12,7 +12,7 @@ use vm::VmCode;
|
|||
const CACHE_SIZE_LIMIT: usize = 10_000_000;
|
||||
|
||||
#[pyclass]
|
||||
struct BoundsResult {
|
||||
pub struct BoundsResult {
|
||||
#[pyo3(get)]
|
||||
min_x_relations: u64,
|
||||
#[pyo3(get)]
|
||||
|
@ -32,7 +32,7 @@ struct BoundsResult {
|
|||
}
|
||||
|
||||
#[pyclass]
|
||||
struct Prover {
|
||||
pub struct Prover {
|
||||
a_description: VmCode,
|
||||
b_description: VmCode,
|
||||
relationship: VmCode,
|
||||
|
@ -41,9 +41,9 @@ struct Prover {
|
|||
struct CachedSetIterator<'code> {
|
||||
cache: Vec<u64>,
|
||||
filter: &'code VmCode,
|
||||
n: u8,
|
||||
p: u8,
|
||||
k: u8,
|
||||
n: u32,
|
||||
p: u32,
|
||||
k: u32,
|
||||
cached: bool,
|
||||
counter: u64,
|
||||
cache_counter: usize,
|
||||
|
@ -52,7 +52,7 @@ struct CachedSetIterator<'code> {
|
|||
}
|
||||
|
||||
impl<'code> CachedSetIterator<'code> {
|
||||
fn create_x(filter: &'code VmCode, n: u8, p: u8, k: u8) -> Self {
|
||||
fn create_x(filter: &'code VmCode, n: u32, p: u32, k: u32) -> Self {
|
||||
CachedSetIterator {
|
||||
cache: Vec::with_capacity(CACHE_SIZE_LIMIT),
|
||||
filter,
|
||||
|
@ -67,7 +67,7 @@ impl<'code> CachedSetIterator<'code> {
|
|||
}
|
||||
}
|
||||
|
||||
fn create_y(filter: &'code VmCode, n: u8, p: u8, k: u8) -> Self {
|
||||
fn create_y(filter: &'code VmCode, n: u32, p: u32, k: u32) -> Self {
|
||||
CachedSetIterator {
|
||||
cache: Vec::with_capacity(CACHE_SIZE_LIMIT),
|
||||
filter,
|
||||
|
@ -106,40 +106,44 @@ impl<'code> Iterator for &mut CachedSetIterator<'code> {
|
|||
self.reset();
|
||||
return None;
|
||||
}
|
||||
|
||||
if self.counter == self.top {
|
||||
self.cached = true;
|
||||
self.reset();
|
||||
return None;
|
||||
}
|
||||
|
||||
let included = if self.is_x {
|
||||
vm::Vm::load(
|
||||
self.filter,
|
||||
vm::Registers::load(self.counter, 0, self.n, self.p, self.k),
|
||||
)
|
||||
.run()
|
||||
.unwrap_bool()
|
||||
} else {
|
||||
vm::Vm::load(
|
||||
self.filter,
|
||||
vm::Registers::load(0, self.counter, self.n, self.p, self.k),
|
||||
)
|
||||
.run()
|
||||
.unwrap_bool()
|
||||
};
|
||||
loop {
|
||||
if self.counter == self.top {
|
||||
self.cached = true;
|
||||
self.reset();
|
||||
return None;
|
||||
}
|
||||
|
||||
self.counter += 1;
|
||||
return Some(result);
|
||||
let included = if self.is_x {
|
||||
vm::Vm::load(
|
||||
self.filter,
|
||||
vm::Registers::load(self.counter, 0, self.n, self.p, self.k),
|
||||
)
|
||||
.run()
|
||||
.unwrap_bool()
|
||||
} else {
|
||||
vm::Vm::load(
|
||||
self.filter,
|
||||
vm::Registers::load(0, self.counter, self.n, self.p, self.k),
|
||||
)
|
||||
.run()
|
||||
.unwrap_bool()
|
||||
};
|
||||
|
||||
if !included {
|
||||
self.counter += 1;
|
||||
continue;
|
||||
} else {
|
||||
let result = self.counter;
|
||||
if self.cache.len() < CACHE_SIZE_LIMIT {
|
||||
self.cache.push(result);
|
||||
}
|
||||
|
||||
self.counter += 1;
|
||||
return Some(result);
|
||||
}
|
||||
}
|
||||
|
||||
let result = self.counter;
|
||||
if self.cache.len() < CACHE_SIZE_LIMIT {
|
||||
self.cache.push(result);
|
||||
}
|
||||
|
||||
self.counter += 1;
|
||||
Some(result)
|
||||
}
|
||||
}
|
||||
|
||||
|
@ -152,7 +156,7 @@ struct FixedHammingWeight {
|
|||
}
|
||||
|
||||
impl FixedHammingWeight {
|
||||
fn new(bits: u8, ones: u8) -> Self {
|
||||
fn new(bits: u32, ones: u32) -> Self {
|
||||
FixedHammingWeight {
|
||||
permutation: (1 << ones) - 1,
|
||||
top: ((1 << ones) - 1) << (bits - ones),
|
||||
|
@ -197,7 +201,7 @@ impl Prover {
|
|||
/// depending on x and y, and resolving to true if x is related to
|
||||
/// y [string]
|
||||
#[new]
|
||||
fn py_new(
|
||||
pub fn py_new(
|
||||
a_description: String,
|
||||
b_description: String,
|
||||
relationship: String,
|
||||
|
@ -269,7 +273,7 @@ impl Prover {
|
|||
/// belonging to either of the specified sets [int]
|
||||
/// p The number of parallel queries [int]
|
||||
/// k Parameter accepted in set specifications and relations [int]
|
||||
fn find_bounds(&self, n: u8, p: u8, k: u8) -> PyResult<BoundsResult> {
|
||||
pub fn find_bounds(&self, n: u32, p: u32, k: u32) -> PyResult<BoundsResult> {
|
||||
if n > 63 {
|
||||
return Err(pyo3::exceptions::PyValueError::new_err(
|
||||
"More than 63 bits is not supported. (Because of `n` parameter.)",
|
||||
|
@ -299,12 +303,6 @@ impl Prover {
|
|||
let mut joint_bounding_y = 0_u64;
|
||||
let mut bounding_window = 0_u64;
|
||||
|
||||
let related = |x: u64, y: u64| {
|
||||
vm::Vm::load(&self.relationship, vm::Registers::load(x, y, n, p, k))
|
||||
.run()
|
||||
.unwrap_bool()
|
||||
};
|
||||
|
||||
for window in window_iterator {
|
||||
let mut max_x_relations = 0_u64;
|
||||
let mut max_y_relations = 0_u64;
|
||||
|
@ -316,7 +314,13 @@ impl Prover {
|
|||
let mut max_x_relations_candidate = 0_u64;
|
||||
|
||||
for y in &mut b_set_iterator {
|
||||
if related(x, y) {
|
||||
let related = vm::Vm::load(
|
||||
&self.relationship,
|
||||
vm::Registers::load(x, y, n, p, k),
|
||||
)
|
||||
.run()
|
||||
.unwrap_bool();
|
||||
if related {
|
||||
min_x_relations_candidate += 1;
|
||||
|
||||
if (x & window) != (y & window) {
|
||||
|
@ -340,7 +344,11 @@ impl Prover {
|
|||
let mut max_y_relations_candidate = 0_u64;
|
||||
|
||||
for x in &mut a_set_iterator {
|
||||
if related(x, y) {
|
||||
let related =
|
||||
vm::Vm::load(&self.relationship, vm::Registers::load(x, y, n, p, k))
|
||||
.run()
|
||||
.unwrap_bool();
|
||||
if related {
|
||||
min_y_relations_candidate += 1;
|
||||
|
||||
if (x & window) != (y & window) {
|
||||
|
@ -366,6 +374,8 @@ impl Prover {
|
|||
joint_bounding_x = bounding_x_candidate;
|
||||
joint_bounding_y = bounding_y_candidate;
|
||||
bounding_window = window;
|
||||
|
||||
Python::with_gil(|py| py.check_signals())?;
|
||||
}
|
||||
}
|
||||
|
||||
|
@ -414,3 +424,17 @@ fn test_hamming_strings() {
|
|||
assert!(x.count_ones() <= 3);
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_full_run() {
|
||||
pyo3::prepare_freethreaded_python();
|
||||
pyo3::Python::with_gil(|_py| {
|
||||
let obj = Prover::py_new(
|
||||
"= (ham x) k".to_string(),
|
||||
"= (ham y) (+ k 1)".to_string(),
|
||||
"<= ham (^ x y) p".to_string(),
|
||||
)
|
||||
.unwrap();
|
||||
std::hint::black_box(obj.find_bounds(10, 5, 3)).expect("Success");
|
||||
})
|
||||
}
|
|
@ -21,9 +21,9 @@ pub struct Vm<'code> {
|
|||
pub struct Registers {
|
||||
x: i64,
|
||||
y: i64,
|
||||
n: u32,
|
||||
p: u32,
|
||||
k: u32,
|
||||
n: i64,
|
||||
p: i64,
|
||||
k: i64,
|
||||
}
|
||||
|
||||
#[derive(Debug)]
|
||||
|
@ -62,6 +62,7 @@ impl VmOutput {
|
|||
}
|
||||
}
|
||||
|
||||
#[allow(unused)]
|
||||
pub fn unwrap_arithmetic(self) -> f64 {
|
||||
match self {
|
||||
VmOutput::Boolean(_) => panic!("Expected arithmetic, got boolean value."),
|
||||
|
@ -74,13 +75,13 @@ impl VmOutput {
|
|||
}
|
||||
|
||||
impl Registers {
|
||||
pub fn load(x: u64, y: u64, n: u8, p: u8, k: u8) -> Self {
|
||||
pub fn load(x: u64, y: u64, n: u32, p: u32, k: u32) -> Self {
|
||||
Self {
|
||||
x: x as i64,
|
||||
y: y as i64,
|
||||
n: n as u32,
|
||||
p: p as u32,
|
||||
k: k as u32,
|
||||
n: n as i64,
|
||||
p: p as i64,
|
||||
k: k as i64,
|
||||
}
|
||||
}
|
||||
}
|
||||
|
@ -91,6 +92,7 @@ pub fn compile_boolean(expression: ast::BooleanExpression) -> VmCode {
|
|||
VmCode { code }
|
||||
}
|
||||
|
||||
#[allow(unused)]
|
||||
pub fn compile_arithmetic(expression: ast::ArithmeticExpression) -> VmCode {
|
||||
let mut code = Vec::<Bytecode>::new();
|
||||
compile_expression(Expression::Arithmetic(expression), &mut code);
|
||||
|
@ -334,9 +336,9 @@ impl<'code> Vm<'code> {
|
|||
VmOutput::Arithmetic(ArithmeticValue::Integer(match var {
|
||||
ast::Variable::X => registers.x,
|
||||
ast::Variable::Y => registers.y,
|
||||
ast::Variable::N => registers.n as i64,
|
||||
ast::Variable::P => registers.p as i64,
|
||||
ast::Variable::K => registers.k as i64,
|
||||
ast::Variable::N => registers.n,
|
||||
ast::Variable::P => registers.p,
|
||||
ast::Variable::K => registers.k,
|
||||
}))
|
||||
}
|
||||
OpCode::Literal(lit) => VmOutput::Arithmetic(ArithmeticValue::Integer(*lit)),
|
||||
|
|
|
@ -0,0 +1,13 @@
|
|||
import adversary
|
||||
from math import sqrt
|
||||
|
||||
prover = adversary.Prover("= (ham x) k", "= (ham y) (+ k 1)", "<= ham (^ x y) p")
|
||||
bounds = prover.find_bounds(16, 5, 3);
|
||||
lower_bound = sqrt(bounds.min_x_relations * bounds.min_y_relations / bounds.max_joint_relations)
|
||||
print("m =", bounds.min_x_relations)
|
||||
print(f"From x={bounds.single_bounding_x:b}")
|
||||
print("m' =", bounds.min_y_relations)
|
||||
print(f"From y={bounds.single_bounding_y:b}")
|
||||
print("ℓ·ℓ' =", bounds.max_joint_relations)
|
||||
print(f"From x={bounds.joint_bounding_x:b} and y={bounds.joint_bounding_y:b} and window={bounds.bounding_window:b}")
|
||||
print(f"Query lower bounds = {lower_bound}")
|
Loading…
Reference in New Issue