Add generic polynomial by Hvassaa · Pull Request #5 · hacspec/specs

Hvassaa · 2023-06-17T10:37:39Z

This is an attempt at a hacspec v2 compliant generic (uni-variate) polynomial spec.

It supports

polynomial-polynomial addition/subtraction/multiplication/division
polynomial-scalar addition/subtraction/multiplication/division
evaluation
Some convenience functions for getting degree, coefficient form, ...

As of 17-06-2023 (via docker image):

cargo-hax lint hacspec returns no errors or warnings
cargo-hax into coq gives

bash-5.2# cargo-hax into coq
warning: some crates are on edition 2021 which defaults to `resolver = "2"`, but virtual workspaces default to `resolver = "1"`
note: to keep the current resolver, specify `workspace.resolver = "1"` in the workspace root's manifest
note: to use the edition 2021 resolver, specify `workspace.resolver = "2"` in the workspace root's manifest
   Compiling hacspec-pasta v1.0.0 (/work/examples/pasta)
note: Writing file "/work/examples/polynomial/out/Hacspec_pasta.v"

   Compiling hacspec-polynomial v0.1.0 (/work/examples/polynomial)
error[CE0001]: (Diagnostics.Context.Phase FunctionalizeLoops): something is not implemented yet.
               Loop without mutation?
  --> polynomial/src/polynomial.rs:46:9
   |
46 | /         for i in (1..len).rev() {
47 | |             if self.coefficients[i] != T::default() {
48 | |                 return Polynomial {
49 | |                     coefficients: self.coefficients.slice(0, i + usize::one()),
50 | |                 };
51 | |             }
52 | |         }
   | |_________^

error[CE0001]: (Diagnostics.Context.Phase CfIntoMonads): something is not implemented yet.This is discussed in issue https://github.com/hacspec/hacspec-v2/issues/96.
               Please upvote or comment this issue if you see this error message.
               TODO: Monad for loop-related control flow
   --> polynomial/src/polynomial.rs:200:9
    |
200 | /         for _ in 0..loop_upper_bound {
201 | |             if r.trim() != Polynomial::<T>::default() && r.degree() >= rhs.degree() {
202 | |                 let degree_diff = r.degree() - rhs.degree();
203 | |                 let mut t = Seq::<T>::create(degree_diff + usize::one());
...   |
210 | |             }
211 | |         }
    | |_________^

error[CE0001]: (Diagnostics.Context.Phase FunctionalizeLoops): something is not implemented yet.
               Only for loop are being functionalized for now
   --> polynomial/src/polynomial.rs:200:9
    |
200 | /         for _ in 0..loop_upper_bound {
201 | |             if r.trim() != Polynomial::<T>::default() && r.degree() >= rhs.degree() {
202 | |                 let degree_diff = r.degree() - rhs.degree();
203 | |                 let mut t = Seq::<T>::create(degree_diff + usize::one());
...   |
210 | |             }
211 | |         }
    | |_________^

error[CE0001]: (Diagnostics.Context.Phase FunctionalizeLoops): something is not implemented yet.
               Loop without mutation?
   --> polynomial/src/polynomial.rs:236:16
    |
236 |           } else {
    |  ________________^
237 | |             for i in 0..lhs.len() {
238 | |                 if lhs[i] != rhs[i] {
239 | |                     return false;
240 | |                 }
241 | |             }
242 | |         }
    | |_________^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:83:1
    |
83  | / impl<T: Numeric + NumericCopy + PartialEq> Add<Polynomial<T>> for Polynomial<T> {
84  | |     type Output = Self;
85  | |
86  | |     fn add(self, other: Self) -> Self {
...   |
106 | |     }
107 | | }
    | |_^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:109:1
    |
109 | / impl<T: Numeric + NumericCopy + PartialEq> Add<T> for Polynomial<T> {
110 | |     type Output = Self;
111 | |
112 | |     fn add(self, other: T) -> Self {
...   |
116 | |     }
117 | | }
    | |_^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:119:1
    |
119 | / impl<T: Numeric + NumericCopy + PartialEq> Sub<Polynomial<T>> for Polynomial<T> {
120 | |     type Output = Self;
121 | |
122 | |     fn sub(self, other: Self) -> Self {
...   |
134 | |     }
135 | | }
    | |_^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:137:1
    |
137 | / impl<T: Numeric + NumericCopy + PartialEq> Sub<T> for Polynomial<T> {
138 | |     type Output = Self;
139 | |
140 | |     fn sub(self, other: T) -> Self {
...   |
144 | |     }
145 | | }
    | |_^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:147:1
    |
147 | / impl<T: Numeric + NumericCopy + PartialEq> Mul<Polynomial<T>> for Polynomial<T> {
148 | |     type Output = Self;
149 | |
150 | |     fn mul(self, rhs: Self) -> Self::Output {
...   |
167 | |     }
168 | | }
    | |_^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:170:1
    |
170 | / impl<T: Numeric + NumericCopy + PartialEq> Mul<T> for Polynomial<T> {
171 | |     type Output = Self;
172 | |
173 | |     fn mul(self, rhs: T) -> Self::Output {
...   |
179 | |     }
180 | | }
    | |_^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:182:1
    |
182 | / impl<T: Numeric + NumericCopy + PartialEq + hacspec_lib::Div<Output = T>> Div<Polynomial<T>>
183 | |     for Polynomial<T>
184 | | {
185 | |     type Output = (Self, Self);
...   |
214 | |     }
215 | | }
    | |_^

error[CE0001]: (Diagnostics.Context.Backend Coq): something is not implemented yet.
               [ty] node typ
   --> polynomial/src/polynomial.rs:217:1
    |
217 | / impl<T: Numeric + NumericCopy + PartialEq + hacspec_lib::Div<Output = T>> Div<T> for Polynomial<T> {
218 | |     type Output = Self;
219 | |
220 | |     fn div(self, rhs: T) -> Self {
...   |
226 | |     }
227 | | }
    | |_^

note: Writing file "/work/examples/polynomial/out/Hacspec_polynomial.v"

error: could not compile `hacspec-polynomial` (lib) due to 12 previous errors

cargo-hax into fstar gives

bash-5.2# cargo-hax into fstar
warning: some crates are on edition 2021 which defaults to `resolver = "2"`, but virtual workspaces default to `resolver = "1"`
note: to keep the current resolver, specify `workspace.resolver = "1"` in the workspace root's manifest
note: to use the edition 2021 resolver, specify `workspace.resolver = "2"` in the workspace root's manifest
   Compiling hacspec-pasta v1.0.0 (/work/examples/pasta)
note: Writing file "/work/examples/polynomial/out/Hacspec_pasta.fst"

   Compiling hacspec-polynomial v0.1.0 (/work/examples/polynomial)
error[CE0001]: (Diagnostics.Context.Phase FunctionalizeLoops): something is not implemented yet.
               Loop without mutation?
  --> polynomial/src/polynomial.rs:46:9
   |
46 | /         for i in (1..len).rev() {
47 | |             if self.coefficients[i] != T::default() {
48 | |                 return Polynomial {
49 | |                     coefficients: self.coefficients.slice(0, i + usize::one()),
50 | |                 };
51 | |             }
52 | |         }
   | |_________^

error[CE0001]: (Diagnostics.Context.Phase CfIntoMonads): something is not implemented yet.This is discussed in issue https://github.com/hacspec/hacspec-v2/issues/96.
               Please upvote or comment this issue if you see this error message.
               TODO: Monad for loop-related control flow
   --> polynomial/src/polynomial.rs:200:9
    |
200 | /         for _ in 0..loop_upper_bound {
201 | |             if r.trim() != Polynomial::<T>::default() && r.degree() >= rhs.degree() {
202 | |                 let degree_diff = r.degree() - rhs.degree();
203 | |                 let mut t = Seq::<T>::create(degree_diff + usize::one());
...   |
210 | |             }
211 | |         }
    | |_________^

error[CE0001]: (Diagnostics.Context.Phase FunctionalizeLoops): something is not implemented yet.
               Only for loop are being functionalized for now
   --> polynomial/src/polynomial.rs:200:9
    |
200 | /         for _ in 0..loop_upper_bound {
201 | |             if r.trim() != Polynomial::<T>::default() && r.degree() >= rhs.degree() {
202 | |                 let degree_diff = r.degree() - rhs.degree();
203 | |                 let mut t = Seq::<T>::create(degree_diff + usize::one());
...   |
210 | |             }
211 | |         }
    | |_________^

error[CE0001]: (Diagnostics.Context.Phase FunctionalizeLoops): something is not implemented yet.
               Loop without mutation?
   --> polynomial/src/polynomial.rs:236:16
    |
236 |           } else {
    |  ________________^
237 | |             for i in 0..lhs.len() {
238 | |                 if lhs[i] != rhs[i] {
239 | |                     return false;
240 | |                 }
241 | |             }
242 | |         }
    | |_________^

error[CE0001]: (Diagnostics.Context.Backend FStar): something is not implemented yet.
               anonymous impl
  --> polynomial/src/polynomial.rs:11:1
   |
11 | / impl<T: Numeric + NumericCopy + PartialEq> Polynomial<T> {
12 | |     /// Create a polynomial, defined from its coefficient form
13 | |     ///
14 | |     /// # Arguments
...  |
80 | |     }
81 | | }
   | |_^

note: Writing file "/work/examples/polynomial/out/Hacspec_polynomial.fst"

error: could not compile `hacspec-polynomial` (lib) due to 5 previous errors

spitters · 2023-06-19T10:12:35Z

@W95Psp @cmester0 are these error messages expected?

If the hacspec is correct, but the backends are lagging, then I think it could be OK to proceed with reviewing and then merging.

spitters · 2023-06-19T10:18:41Z

polynomial/src/polynomial.rs

+        }
+    }
+}
+


Some short friendly documentation would be kind here.

Maybe just:
/// We wil now define the ring operations on polynomials.

spitters · 2023-06-19T10:20:17Z

LGTM. I only marked a small nit.

karthikbhargavan · 2023-06-19T11:15:25Z

Hello, we discussed the errors today.

For the F* backend:

the second and third errors (for _ = ...) should be fixed now (Allow any pattern on for loops (fixes #147) cryspen/hax#150)
the first and fourth errors (return) feature a return within a loop which is not currently supported. It may be easiest to simply rewrite this code to do the return outside the loop.
the fourth error involves an implicit impl (without a trait). This is currently unallowed but will be fixed soon.

So, if you make the return modification, this code will pass the toolchain soon.

Hvassaa · 2023-06-20T06:40:26Z

Some short friendly documentation would be kind here.

@spitters
I am not sure what lines this refers to, is it in general or for impl<T: Numeric + NumericCopy + PartialEq> Add<Polynomial<T>> for Polynomial<T>?

Hvassaa · 2023-06-20T06:40:52Z

Hello, we discussed the errors today.

For the F* backend:

* the second and third errors (`for _ = ...`) should be fixed now ([Allow any pattern on for loops (fixes #147) hacspec-v2#150](https://github.com/hacspec/hacspec-v2/pull/150))

* the first and fourth errors (`return`) feature a `return` within a loop which is not currently supported. It may be easiest to simply rewrite this code to do the `return` outside the loop.

* the fourth error involves an implicit `impl` (without a trait). This is currently unallowed but will be fixed soon.

So, if you make the return modification, this code will pass the toolchain soon.

Great! I will look into that.

Hvassaa · 2023-08-09T19:58:54Z

I added the requested comment!

Furthermore, I wondered whether it might be useful with a function to create a polynomial using lagrange interpolation. I am not sure if that functionality is suitable for inclusion in a polynomial spec or not? (Maybe that should be separate?)

spitters · 2023-08-10T06:56:42Z

I think one could include it here, as it's too small for a separate library. It can always be moved later. from my phone

…

On Wed, Aug 9, 2023, 21:59 Rasmus T. Bjerg ***@***.***> wrote: I added the requested comment! Furthermore, I wondered whether it might be useful with a function to create a polynomial using lagrange interpolation. I am not sure if that functionality is suitable for inclusion in a polynomial spec or not? (Maybe that should be separate?) — Reply to this email directly, view it on GitHub <#5 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AABTNTQM47FK4ZYKY3SI4X3XUPTYRANCNFSM6AAAAAAZKE2INU> . You are receiving this because you were mentioned.Message ID: ***@***.***>

Rasmus T. Bjerg added 3 commits June 17, 2023 12:21

added generic polynomial

b951cc2

updated Cargo with polynomial

66d11a8

trim after more ops

24f1da6

franziskuskiefer self-requested a review June 19, 2023 05:32

spitters reviewed Jun 19, 2023

View reviewed changes

remove unrequired (Clone) type bound

49cc400

added comments for clarity

86232f4

franziskuskiefer removed their request for review August 1, 2025 05:58

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Add generic polynomial#5

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Hvassaa commented Jun 17, 2023

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Hvassaa commented Jun 17, 2023

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