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"resolved": "https://registry.npmjs.org/which/-/which-1.3.1.tgz", + "integrity": "sha512-HxJdYWq1MTIQbJ3nw0cqssHoTNU267KlrDuGZ1WYlxDStUtKUhOaJmh112/TZmHxxUfuJqPXSOm7tDyas0OSIQ==", "dev": true, "requires": { "isexe": "^2.0.0" @@ -11233,6 +4970,8 @@ }, "which-boxed-primitive": { "version": "1.0.2", + "resolved": "https://registry.npmjs.org/which-boxed-primitive/-/which-boxed-primitive-1.0.2.tgz", + "integrity": "sha512-bwZdv0AKLpplFY2KZRX6TvyuN7ojjr7lwkg6ml0roIy9YeuSr7JS372qlNW18UQYzgYK9ziGcerWqZOmEn9VNg==", "dev": true, "requires": { "is-bigint": "^1.0.1", @@ -11291,12 +5030,14 @@ }, "wrappy": { "version": "1.0.2", + "resolved": "https://registry.npmjs.org/wrappy/-/wrappy-1.0.2.tgz", + "integrity": "sha512-l4Sp/DRseor9wL6EvV2+TuQn63dMkPjZ/sp9XkghTEbV9KlPS1xUsZ3u7/IQO4wxtcFB4bgpQPRcR3QCvezPcQ==", "dev": true }, "write-file-atomic": { - "version": "4.0.1", - "resolved": "https://registry.npmjs.org/write-file-atomic/-/write-file-atomic-4.0.1.tgz", - "integrity": 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-11330,10 +5071,21 @@ "yargs-parser": "^21.0.0" }, "dependencies": { + "cliui": { + "version": "8.0.1", + "resolved": "https://registry.npmjs.org/cliui/-/cliui-8.0.1.tgz", + "integrity": "sha512-BSeNnyus75C4//NQ9gQt1/csTXyo/8Sb+afLAkzAptFuMsod9HFokGNudZpi/oQV73hnVK+sR+5PVRMd+Dr7YQ==", + "dev": true, + "requires": { + "string-width": "^4.2.0", + "strip-ansi": "^6.0.1", + "wrap-ansi": "^7.0.0" + } + }, "yargs-parser": { - "version": "21.0.1", - "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-21.0.1.tgz", - "integrity": "sha512-9BK1jFpLzJROCI5TzwZL/TU4gqjK5xiHV/RfWLOahrjAko/e4DJkRDZQXfvqAsiZzzYhgAzbgz6lg48jcm4GLg==", + "version": "21.1.1", + "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-21.1.1.tgz", + "integrity": "sha512-tVpsJW7DdjecAiFpbIB1e3qxIQsE6NoPc5/eTdrbbIC4h0LVsWhnoa3g+m2HclBIujHzsxZ4VJVA+GUuc2/LBw==", "dev": true } } @@ -11346,6 +5098,14 @@ }, "yn": { "version": "3.1.1", + "resolved": "https://registry.npmjs.org/yn/-/yn-3.1.1.tgz", + "integrity": "sha512-Ux4ygGWsu2c7isFWe8Yu1YluJmqVhxqK2cLXNQA5AcC3QfbGNpM7fu0Y8b/z16pXLnFxZYvWhd3fhBY9DLmC6Q==", + "dev": true + }, + "yocto-queue": { + "version": "0.1.0", + "resolved": "https://registry.npmjs.org/yocto-queue/-/yocto-queue-0.1.0.tgz", + "integrity": "sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==", "dev": true } } diff --git a/src/api/js/package.json b/src/api/js/package.json index 7249b85a2..90a7bfa3d 100644 --- a/src/api/js/package.json +++ b/src/api/js/package.json @@ -35,7 +35,8 @@ "contributors": [ "Kevin Gibbons ", "Nikolaj Bjorner", - "Olaf Tomalka " + "Olaf Tomalka ", + "Walden Yan " ], "devDependencies": { "@types/jest": "^27.5.1", @@ -49,6 +50,7 @@ "prettier": "^2.5.1", "rimraf": "^3.0.2", "sprintf-js": "^1.1.2", + "ts-expect": "^1.3.0", "ts-jest": "^28.0.3", "ts-node": "^10.8.0", "typedoc": "^0.22.17", diff --git a/src/api/js/src/high-level/high-level.test.ts b/src/api/js/src/high-level/high-level.test.ts index 7fb20e627..70c11b875 100644 --- a/src/api/js/src/high-level/high-level.test.ts +++ b/src/api/js/src/high-level/high-level.test.ts @@ -2,6 +2,7 @@ import assert from 'assert'; import asyncToArray from 'iter-tools/methods/async-to-array'; import { init, killThreads } from '../jest'; import { Arith, Bool, Model, Z3AssertionError, Z3HighLevel } from './types'; +import { expectType } from "ts-expect"; /** * Generate all possible solutions from given assumptions. @@ -113,7 +114,7 @@ describe('high-level', () => { const { Solver, Not, Int } = api.Context('main'); const solver = new Solver(); solver.fromString("(declare-const x Int) (assert (and (< x 2) (> x 0)))") - expect(await solver.check()).toStrictEqual('sat') + expect(await solver.check()).toStrictEqual('sat') const x = Int.const('x') solver.add(Not(x.eq(1))) expect(await solver.check()).toStrictEqual('unsat') @@ -211,6 +212,7 @@ describe('high-level', () => { } return cells; } + const INSTANCE = toSudoku(` ....94.3. ...51...7 @@ -390,6 +392,106 @@ describe('high-level', () => { }); }); + describe('arrays', () => { + + it('Example 1', async () => { + const Z3 = api.Context('main'); + + const arr = Z3.Array.const('arr', Z3.Int.sort(), Z3.Int.sort()); + const [idx, val] = Z3.Int.consts('idx val'); + + const conjecture = (arr.store(idx, val).select(idx).eq(val)); + await prove(conjecture); + }); + + it('domain and range type inference', async () => { + const { BitVec, Array, isArray, isArraySort } = api.Context('main'); + + const arr = Array.const('arr', BitVec.sort(160), BitVec.sort(256)); + + const domain = arr.domain(); + expect(domain.size()).toStrictEqual(160); + expect(arr.domain_n(0).size()).toStrictEqual(160); + const range = arr.range(); + expect(range.size()).toStrictEqual(256); + + assert(isArray(arr) && isArraySort(arr.sort)); + + const arr2 = Array.const('arr2', BitVec.sort(1), BitVec.sort(2), BitVec.sort(3)); + const dom2 = arr2.domain_n(1); + + // We can call size() on dom2 and see that it is two bits + // purely from type inference + expectType<2>(dom2.size()); + + // Won't let us create an array constant with only one of domain/range + // and is detected at compile time + // @ts-expect-error + const arr3 = Array.const('arr3', BitVec.sort(1)); + }) + + it('can do simple proofs', async () => { + const { BitVec, Array, isArray, isArraySort, isConstArray, Eq, Not } = api.Context('main'); + + const idx = BitVec.const('idx', 160); + const val = BitVec.const('val', 256); + + const FIVE_VAL = BitVec.val(5, 256); + + const arr = Array.const('arr', BitVec.sort(160), BitVec.sort(256)); + + const constArr = Array.K(BitVec.sort(160), FIVE_VAL); + assert(isArray(arr) && isArraySort(arr.sort) && isConstArray(constArr)); + + const arr2 = arr.store(0, 5); + await prove(Eq(arr2.select(0), FIVE_VAL)); + await prove(Not(Eq(arr2.select(0), BitVec.val(6, 256)))); + await prove(Eq(arr2.store(idx, val).select(idx), constArr.store(idx, val).select(idx))); + + // TODO: add in Quantifiers and better typing of arrays + // await prove( + // ForAll([idx], idx.add(1).ugt(idx).and(arr.select(idx.add(1)).ugt(arr.select(idx)))).implies( + // arr.select(0).ult(arr.select(1000)) + // ) + // ); + }); + + it('Finds arrays that differ but that sum to the same', async () => { + const Z3 = api.Context('main'); + const { Array, BitVec } = Z3; + + const mod = 1n << 32n; + + const arr1 = Array.const('arr', BitVec.sort(2), BitVec.sort(32)); + const arr2 = Array.const('arr2', BitVec.sort(2), BitVec.sort(32)); + + const same_sum = arr1.select(0) + .add(arr1.select(1)) + .add(arr1.select(2)) + .add(arr1.select(3)) + .eq( + arr2.select(0) + .add(arr2.select(1)) + .add(arr2.select(2)) + .add(arr2.select(3)) + ); + + const different = arr1.select(0).neq(arr2.select(0)) + .or(arr1.select(1).neq(arr2.select(1))) + .or(arr1.select(2).neq(arr2.select(2))) + .or(arr1.select(3).neq(arr2.select(3))); + + const model = await solve(same_sum.and(different)); + + const arr1Vals = [0, 1, 2, 3].map(i => model.eval(arr1.select(i)).value()); + const arr2Vals = [0, 1, 2, 3].map(i => model.eval(arr2.select(i)).value()); + expect((arr1Vals.reduce((a, b) => a + b, 0n) % mod) === arr2Vals.reduce((a, b) => a + b, 0n) % mod); + for (let i = 0; i < 4; i++) { + expect(arr1Vals[i] !== arr2Vals[i]); + } + }); + }); + describe('Solver', () => { it('can use push and pop', async () => { const { Solver, Int } = api.Context('main'); diff --git a/src/api/js/src/high-level/high-level.ts b/src/api/js/src/high-level/high-level.ts index e1a2b35ab..59a0b1e36 100644 --- a/src/api/js/src/high-level/high-level.ts +++ b/src/api/js/src/high-level/high-level.ts @@ -37,7 +37,7 @@ import { AnyExpr, AnySort, Arith, - ArithSort, + ArithSort, ArrayIndexType, Ast, AstMap, AstMapCtor, @@ -48,7 +48,7 @@ import { BitVecSort, Bool, BoolSort, - CheckSatResult, + CheckSatResult, CoercibleFromMap, CoercibleRational, CoercibleToBitVec, CoercibleToExpr, @@ -63,6 +63,8 @@ import { Model, Probe, RatNum, + SMTArray, + SMTArraySort, Solver, Sort, SortToExprMap, @@ -86,12 +88,11 @@ function isCoercibleRational(obj: any): obj is CoercibleRational { (obj.denominator !== null && (typeof obj.denominator === 'number' || typeof obj.denominator === 'bigint')) ); - r && - assert( - (typeof obj.numerator !== 'number' || Number.isSafeInteger(obj.numerator)) && - (typeof obj.denominator !== 'number' || Number.isSafeInteger(obj.denominator)), - 'Fraction numerator and denominator must be integers', - ); + r && assert( + (typeof obj!.numerator !== 'number' || Number.isSafeInteger(obj!.numerator)) && + (typeof obj!.denominator !== 'number' || Number.isSafeInteger(obj!.denominator)), + 'Fraction numerator and denominator must be integers', + ); return r; } @@ -151,7 +152,9 @@ export function createApi(Z3: Z3Core): Z3HighLevel { function createContext(name: Name, options?: Record): Context { const cfg = Z3.mk_config(); if (options != null) { - Object.entries(options).forEach(([key, value]) => check(Z3.set_param_value(cfg, key, value.toString()))); + Object.entries(options).forEach( + ([key, value]) => check(Z3.set_param_value(cfg, key, value.toString())) + ); } const contextPtr = Z3.mk_context_rc(cfg); Z3.set_ast_print_mode(contextPtr, Z3_ast_print_mode.Z3_PRINT_SMTLIB2_COMPLIANT); @@ -216,20 +219,22 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return new ArithSortImpl(ast); case Z3_sort_kind.Z3_BV_SORT: return new BitVecSortImpl(ast); + case Z3_sort_kind.Z3_ARRAY_SORT: + return new ArraySortImpl(ast); default: return new SortImpl(ast); } } - function _toExpr(ast: Z3_ast): Bool | IntNum | RatNum | Arith | Expr { + function _toExpr(ast: Z3_ast): AnyExpr { const kind = check(Z3.get_ast_kind(contextPtr, ast)); if (kind === Z3_ast_kind.Z3_QUANTIFIER_AST) { if (Z3.is_quantifier_forall(contextPtr, ast)) - return new BoolImpl(ast); + return new BoolImpl(ast); if (Z3.is_quantifier_exists(contextPtr, ast)) - return new BoolImpl(ast); + return new BoolImpl(ast); if (Z3.is_lambda(contextPtr, ast)) - return new ExprImpl(ast); + return new ExprImpl(ast); assert(false); } const sortKind = check(Z3.get_sort_kind(contextPtr, Z3.get_sort(contextPtr, ast))); @@ -251,6 +256,8 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return new BitVecNumImpl(ast); } return new BitVecImpl(ast); + case Z3_sort_kind.Z3_ARRAY_SORT: + return new ArrayImpl(ast); default: return new ExprImpl(ast); } @@ -440,6 +447,22 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return r; } + function isArraySort(obj: unknown): obj is SMTArraySort { + const r = obj instanceof ArraySortImpl; + r && _assertContext(obj); + return r; + } + + function isArray(obj: unknown): obj is SMTArray { + const r = obj instanceof ArrayImpl; + r && _assertContext(obj); + return r; + } + + function isConstArray(obj: unknown): boolean { + return isAppOf(obj, Z3_decl_kind.Z3_OP_CONST_ARRAY); + } + function isProbe(obj: unknown): obj is Probe { const r = obj instanceof ProbeImpl; r && _assertContext(obj); @@ -508,9 +531,9 @@ export function createApi(Z3: Z3Core): Z3HighLevel { // expression simplification // /////////////////////////////// - async function simplify(e : Expr) { - const result = await Z3.simplify(contextPtr, e.ast) - return _toExpr(check(result)); + async function simplify(e: Expr) { + const result = await Z3.simplify(contextPtr, e.ast) + return _toExpr(check(result)); } ///////////// @@ -677,6 +700,44 @@ export function createApi(Z3: Z3Core): Z3HighLevel { ); }, }; + const Array = { + sort, ...AnySort[]], RangeSort extends AnySort>( + ...sig: [...DomainSort, RangeSort] + ): SMTArraySort { + const arity = sig.length - 1; + const r = sig[arity]; + const d = sig[0]; + if (arity === 1) { + return new ArraySortImpl(Z3.mk_array_sort(contextPtr, d.ptr, r.ptr)); + } + const dom = sig.slice(0, arity); + return new ArraySortImpl(Z3.mk_array_sort_n(contextPtr, dom.map(s => s.ptr), r.ptr)); + }, + const, ...AnySort[]], RangeSort extends AnySort>( + name: string, ...sig: [...DomainSort, RangeSort] + ): SMTArray { + return new ArrayImpl( + check(Z3.mk_const(contextPtr, _toSymbol(name), Array.sort(...sig).ptr)) + ); + }, + consts, ...AnySort[]], RangeSort extends AnySort>( + names: string | string[], + ...sig: [...DomainSort, RangeSort] + ): SMTArray[] { + if (typeof names === 'string') { + names = names.split(' '); + } + return names.map(name => Array.const(name, ...sig)); + }, + K, RangeSort extends AnySort>( + domain: DomainSort, + value: SortToExprMap + ): SMTArray { + return new ArrayImpl<[DomainSort], RangeSort>( + check(Z3.mk_const_array(contextPtr, domain.ptr, value.ptr)) + ); + } + } //////////////// // Operations // @@ -948,6 +1009,7 @@ export function createApi(Z3: Z3Core): Z3HighLevel { readonly ptr: Z3_solver; readonly ctx: Context; + constructor(ptr: Z3_solver | string = Z3.mk_solver(contextPtr)) { this.ctx = ctx; let myPtr: Z3_solver; @@ -964,21 +1026,26 @@ export function createApi(Z3: Z3Core): Z3HighLevel { push() { Z3.solver_push(contextPtr, this.ptr); } + pop(num: number = 1) { Z3.solver_pop(contextPtr, this.ptr, num); } + numScopes() { return Z3.solver_get_num_scopes(contextPtr, this.ptr); } + reset() { Z3.solver_reset(contextPtr, this.ptr); } + add(...exprs: (Bool | AstVector>)[]) { _flattenArgs(exprs).forEach(expr => { _assertContext(expr); check(Z3.solver_assert(contextPtr, this.ptr, expr.ast)); }); } + addAndTrack(expr: Bool, constant: Bool | string) { if (typeof constant === 'string') { constant = Bool.const(constant); @@ -1019,7 +1086,7 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return check(Z3.solver_to_string(contextPtr, this.ptr)); } - fromString(s : string) { + fromString(s: string) { Z3.solver_from_string(contextPtr, this.ptr, s); throwIfError(); } @@ -1043,20 +1110,20 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return this.values(); } - *entries(): IterableIterator<[number, FuncDecl]> { + * entries(): IterableIterator<[number, FuncDecl]> { const length = this.length(); for (let i = 0; i < length; i++) { yield [i, this.get(i)]; } } - *keys(): IterableIterator { + * keys(): IterableIterator { for (const [key] of this.entries()) { yield key; } } - *values(): IterableIterator> { + * values(): IterableIterator> { for (const [, value] of this.entries()) { yield value; } @@ -1076,11 +1143,12 @@ export function createApi(Z3: Z3Core): Z3HighLevel { eval(expr: Bool, modelCompletion?: boolean): Bool; eval(expr: Arith, modelCompletion?: boolean): Arith; + eval(expr: BitVec, modelCompletion?: boolean): BitVecNum; eval(expr: Expr, modelCompletion: boolean = false) { _assertContext(expr); const r = check(Z3.model_eval(contextPtr, this.ptr, expr.ast, modelCompletion)); if (r === null) { - throw new Z3Error('Failed to evaluatio expression in the model'); + throw new Z3Error('Failed to evaluate expression in the model'); } return _toExpr(r); } @@ -1092,7 +1160,7 @@ export function createApi(Z3: Z3Core): Z3HighLevel { get(sort: Sort): AstVector>; get( i: number | FuncDecl | Expr | Sort, - to?: number, + to?: number ): FuncDecl | FuncInterp | Expr | AstVector> | FuncDecl[] { assert(to === undefined || typeof i === 'number'); if (typeof i === 'number') { @@ -1362,15 +1430,22 @@ export function createApi(Z3: Z3Core): Z3HighLevel { not(): Bool { return Not(this); } + and(other: Bool | boolean): Bool { return And(this, other); } + or(other: Bool | boolean): Bool { return Or(this, other); } + xor(other: Bool | boolean): Bool { return Xor(this, other); } + + implies(other: Bool | boolean): Bool { + return Implies(this, other); + } } class ProbeImpl implements Probe { @@ -1571,27 +1646,35 @@ export function createApi(Z3: Z3Core): Z3HighLevel { add(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvadd(contextPtr, this.ast, this.sort.cast(other).ast))); } + mul(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvmul(contextPtr, this.ast, this.sort.cast(other).ast))); } + sub(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvsub(contextPtr, this.ast, this.sort.cast(other).ast))); } + sdiv(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvsdiv(contextPtr, this.ast, this.sort.cast(other).ast))); } + udiv(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvudiv(contextPtr, this.ast, this.sort.cast(other).ast))); } + smod(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvsmod(contextPtr, this.ast, this.sort.cast(other).ast))); } + urem(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvurem(contextPtr, this.ast, this.sort.cast(other).ast))); } + srem(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvsrem(contextPtr, this.ast, this.sort.cast(other).ast))); } + neg(): BitVec { return new BitVecImpl(check(Z3.mk_bvneg(contextPtr, this.ast))); } @@ -1599,33 +1682,43 @@ export function createApi(Z3: Z3Core): Z3HighLevel { or(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvor(contextPtr, this.ast, this.sort.cast(other).ast))); } + and(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvand(contextPtr, this.ast, this.sort.cast(other).ast))); } + nand(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvnand(contextPtr, this.ast, this.sort.cast(other).ast))); } + xor(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvxor(contextPtr, this.ast, this.sort.cast(other).ast))); } + xnor(other: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvxnor(contextPtr, this.ast, this.sort.cast(other).ast))); } + shr(count: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvashr(contextPtr, this.ast, this.sort.cast(count).ast))); } + lshr(count: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvlshr(contextPtr, this.ast, this.sort.cast(count).ast))); } + shl(count: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_bvshl(contextPtr, this.ast, this.sort.cast(count).ast))); } + rotateRight(count: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_ext_rotate_right(contextPtr, this.ast, this.sort.cast(count).ast))); } + rotateLeft(count: CoercibleToBitVec): BitVec { return new BitVecImpl(check(Z3.mk_ext_rotate_left(contextPtr, this.ast, this.sort.cast(count).ast))); } + not(): BitVec { return new BitVecImpl(check(Z3.mk_bvnot(contextPtr, this.ast))); } @@ -1633,12 +1726,15 @@ export function createApi(Z3: Z3Core): Z3HighLevel { extract(high: number, low: number): BitVec { return new BitVecImpl(check(Z3.mk_extract(contextPtr, high, low, this.ast))); } + signExt(count: number): BitVec { return new BitVecImpl(check(Z3.mk_sign_ext(contextPtr, count, this.ast))); } + zeroExt(count: number): BitVec { return new BitVecImpl(check(Z3.mk_zero_ext(contextPtr, count, this.ast))); } + repeat(count: number): BitVec { return new BitVecImpl(check(Z3.mk_repeat(contextPtr, count, this.ast))); } @@ -1646,24 +1742,31 @@ export function createApi(Z3: Z3Core): Z3HighLevel { sle(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvsle(contextPtr, this.ast, this.sort.cast(other).ast))); } + ule(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvule(contextPtr, this.ast, this.sort.cast(other).ast))); } + slt(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvslt(contextPtr, this.ast, this.sort.cast(other).ast))); } + ult(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvult(contextPtr, this.ast, this.sort.cast(other).ast))); } + sge(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvsge(contextPtr, this.ast, this.sort.cast(other).ast))); } + uge(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvuge(contextPtr, this.ast, this.sort.cast(other).ast))); } + sgt(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvsgt(contextPtr, this.ast, this.sort.cast(other).ast))); } + ugt(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvugt(contextPtr, this.ast, this.sort.cast(other).ast))); } @@ -1671,6 +1774,7 @@ export function createApi(Z3: Z3Core): Z3HighLevel { redAnd(): BitVec { return new BitVecImpl(check(Z3.mk_bvredand(contextPtr, this.ast))); } + redOr(): BitVec { return new BitVecImpl(check(Z3.mk_bvredor(contextPtr, this.ast))); } @@ -1678,24 +1782,31 @@ export function createApi(Z3: Z3Core): Z3HighLevel { addNoOverflow(other: CoercibleToBitVec, isSigned: boolean): Bool { return new BoolImpl(check(Z3.mk_bvadd_no_overflow(contextPtr, this.ast, this.sort.cast(other).ast, isSigned))); } + addNoUnderflow(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvadd_no_underflow(contextPtr, this.ast, this.sort.cast(other).ast))); } + subNoOverflow(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvsub_no_overflow(contextPtr, this.ast, this.sort.cast(other).ast))); } + subNoUndeflow(other: CoercibleToBitVec, isSigned: boolean): Bool { return new BoolImpl(check(Z3.mk_bvsub_no_underflow(contextPtr, this.ast, this.sort.cast(other).ast, isSigned))); } + sdivNoOverflow(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvsdiv_no_overflow(contextPtr, this.ast, this.sort.cast(other).ast))); } + mulNoOverflow(other: CoercibleToBitVec, isSigned: boolean): Bool { return new BoolImpl(check(Z3.mk_bvmul_no_overflow(contextPtr, this.ast, this.sort.cast(other).ast, isSigned))); } + mulNoUndeflow(other: CoercibleToBitVec): Bool { return new BoolImpl(check(Z3.mk_bvmul_no_underflow(contextPtr, this.ast, this.sort.cast(other).ast))); } + negNoOverflow(): Bool { return new BoolImpl(check(Z3.mk_bvneg_no_overflow(contextPtr, this.ast))); } @@ -1703,6 +1814,7 @@ export function createApi(Z3: Z3Core): Z3HighLevel { class BitVecNumImpl extends BitVecImpl implements BitVecNum { declare readonly __typename: BitVecNum['__typename']; + value() { return BigInt(this.asString()); } @@ -1718,14 +1830,87 @@ export function createApi(Z3: Z3Core): Z3HighLevel { } return val; } + asString() { return Z3.get_numeral_string(contextPtr, this.ast); } + asBinaryString() { return Z3.get_numeral_binary_string(contextPtr, this.ast); } } + class ArraySortImpl, ...AnySort[]] = [Sort, ...Sort[]], + RangeSort extends AnySort = Sort> + extends SortImpl + implements SMTArraySort { + declare readonly __typename: SMTArraySort['__typename']; + + domain(): DomainSort[0] { + return _toSort(check(Z3.get_array_sort_domain(contextPtr, this.ptr))); + } + + domain_n(i: T): DomainSort[T] { + return _toSort(check(Z3.get_array_sort_domain_n(contextPtr, this.ptr, i))); + } + + range(): RangeSort { + return _toSort(check(Z3.get_array_sort_range(contextPtr, this.ptr))) as RangeSort; + } + + } + + class ArrayImpl< + DomainSort extends [AnySort, ...AnySort[]] = [Sort, ...Sort[]], + RangeSort extends AnySort = Sort + > extends ExprImpl> + implements SMTArray { + declare readonly __typename: SMTArray['__typename']; + + domain(): DomainSort[0] { + return this.sort.domain(); + } + + domain_n(i: T): DomainSort[T] { + return this.sort.domain_n(i); + } + + range(): RangeSort { + return this.sort.range(); + } + + select(...indices: ArrayIndexType): SortToExprMap { + const args = indices.map((arg, i) => this.domain_n(i).cast(arg as any)); + if (args.length === 1) { + return _toExpr(check(Z3.mk_select(contextPtr, this.ast, args[0].ast))) as SortToExprMap; + } + const _args = args.map(arg => arg.ast); + return _toExpr(check(Z3.mk_select_n(contextPtr, this.ast, _args))) as SortToExprMap; + } + + store( + ...indicesAndValue: [ + ...ArrayIndexType, + CoercibleFromMap, Name> + ] + ): SMTArray { + const args = indicesAndValue.map((arg, i) => { + if (i === indicesAndValue.length - 1) { + return this.range().cast(arg as CoercibleFromMap, Name>); + } + return this.domain_n(i).cast(arg as any); + }); + if (args.length <= 1) { + throw new Z3Error("Array store requires both index and value arguments"); + } + if (args.length === 2) { + return _toExpr(check(Z3.mk_store(contextPtr, this.ast, args[0].ast, args[1].ast))) as SMTArray; + } + const _idxs = args.slice(0, args.length - 1).map(arg => arg.ast); + return _toExpr(check(Z3.mk_store_n(contextPtr, this.ast, _idxs, args[args.length - 1].ast))) as SMTArray; + } + } + class AstVectorImpl> { declare readonly __typename: AstVector['__typename']; readonly ctx: Context; @@ -1744,20 +1929,20 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return this.values(); } - *entries(): IterableIterator<[number, Item]> { + * entries(): IterableIterator<[number, Item]> { const length = this.length(); for (let i = 0; i < length; i++) { yield [i, this.get(i)]; } } - *keys(): IterableIterator { + * keys(): IterableIterator { for (let [key] of this.entries()) { yield key; } } - *values(): IterableIterator { + * values(): IterableIterator { for (let [, value] of this.entries()) { yield value; } @@ -1842,7 +2027,7 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return Z3.ast_map_size(contextPtr, this.ptr); } - *entries(): IterableIterator<[Key, Value]> { + * entries(): IterableIterator<[Key, Value]> { for (const key of this.keys()) { yield [key, this.get(key)]; } @@ -1852,11 +2037,12 @@ export function createApi(Z3: Z3Core): Z3HighLevel { return new AstVectorImpl(Z3.ast_map_keys(contextPtr, this.ptr)); } - *values(): IterableIterator { + * values(): IterableIterator { for (const [_, value] of this.entries()) { yield value; } } + get(key: Key): Value { return _toAst(check(Z3.ast_map_find(contextPtr, this.ptr, key.ast))) as Value; } @@ -1928,6 +2114,9 @@ export function createApi(Z3: Z3Core): Z3HighLevel { isBitVecSort, isBitVec, isBitVecVal, // TODO fix ordering + isArraySort, + isArray, + isConstArray, isProbe, isTactic, isAstVector, @@ -1946,6 +2135,7 @@ export function createApi(Z3: Z3Core): Z3HighLevel { Int, Real, BitVec, + Array, //////////////// // Operations // diff --git a/src/api/js/src/high-level/types.ts b/src/api/js/src/high-level/types.ts index 57e5c37f8..a6cb01e79 100644 --- a/src/api/js/src/high-level/types.ts +++ b/src/api/js/src/high-level/types.ts @@ -20,7 +20,8 @@ export type AnySort = | Sort | BoolSort | ArithSort - | BitVecSort; + | BitVecSort + | SMTArraySort, ...AnySort[]], AnySort>; /** @hidden */ export type AnyExpr = | Expr @@ -29,31 +30,54 @@ export type AnyExpr = | IntNum | RatNum | BitVec - | BitVecNum; + | BitVecNum + | SMTArray, ...AnySort[]], AnySort>; /** @hidden */ export type AnyAst = AnyExpr | AnySort | FuncDecl; /** @hidden */ -export type SortToExprMap, Name extends string = 'main'> = S extends BoolSort - ? Bool - : S extends ArithSort - ? Arith - : S extends BitVecSort - ? BitVec - : S extends Sort - ? Expr - : never; +export type SortToExprMap, Name extends string = 'main'> = + S extends BoolSort + ? Bool + : S extends ArithSort + ? Arith + : S extends BitVecSort + ? BitVec + : S extends SMTArraySort + ? SMTArray + : S extends Sort + ? Expr + : never; /** @hidden */ -export type CoercibleToExprMap, Name extends string = 'main'> = S extends bigint - ? IntNum - : S extends number | CoercibleRational - ? RatNum - : S extends boolean - ? Bool - : S extends Expr - ? S - : never; +export type CoercibleToExprMap, Name extends string = 'main'> = + S extends bigint + ? ArithSort + : S extends number | CoercibleRational + ? RatNum + : S extends boolean + ? Bool + : S extends Expr + ? S + : never; + +/** @hidden */ +export type CoercibleFromMap, Name extends string = 'main'> = + S extends Bool + ? (boolean | Bool) + : S extends IntNum + ? (bigint | number | IntNum) + : S extends RatNum + ? (bigint | number | CoercibleRational | RatNum) + : S extends Arith + ? (bigint | number | CoercibleRational | Arith) + : S extends BitVec + ? (number | BitVec) + : S extends SMTArray + ? SMTArray + : S extends Expr + ? Expr + : never; /** * Used to create a Real constant @@ -78,8 +102,11 @@ export type CoercibleRational = { numerator: bigint | number; denominator: bigin /** @hidden */ export type CoercibleToExpr = number | bigint | boolean | CoercibleRational | Expr; -export class Z3Error extends Error {} -export class Z3AssertionError extends Z3Error {} +export class Z3Error extends Error { +} + +export class Z3AssertionError extends Z3Error { +} /** @category Global */ export type CheckSatResult = 'sat' | 'unsat' | 'unknown'; @@ -109,98 +136,148 @@ export interface Context { /////////////// /** @category Functions */ interrupt(): void; + /** @category Functions */ isModel(obj: unknown): obj is Model; + /** @category Functions */ isAst(obj: unknown): obj is Ast; + /** @category Functions */ isSort(obj: unknown): obj is Sort; + /** @category Functions */ isFuncDecl(obj: unknown): obj is FuncDecl; + /** @category Functions */ isApp(obj: unknown): boolean; + /** @category Functions */ isConst(obj: unknown): boolean; + /** @category Functions */ isExpr(obj: unknown): obj is Expr; + /** @category Functions */ isVar(obj: unknown): boolean; + /** @category Functions */ isAppOf(obj: unknown, kind: Z3_decl_kind): boolean; + /** @category Functions */ isBool(obj: unknown): obj is Bool; + /** @category Functions */ isTrue(obj: unknown): boolean; + /** @category Functions */ isFalse(obj: unknown): boolean; + /** @category Functions */ isAnd(obj: unknown): boolean; + /** @category Functions */ isOr(obj: unknown): boolean; + /** @category Functions */ isImplies(obj: unknown): boolean; + /** @category Functions */ isNot(obj: unknown): boolean; + /** @category Functions */ isEq(obj: unknown): boolean; + /** @category Functions */ isDistinct(obj: unknown): boolean; + /** @category Functions */ isArith(obj: unknown): obj is Arith; + /** @category Functions */ isArithSort(obj: unknown): obj is ArithSort; + /** @category Functions */ isInt(obj: unknown): boolean; + /** @category Functions */ isIntVal(obj: unknown): obj is IntNum; + /** @category Functions */ isIntSort(obj: unknown): boolean; + /** @category Functions */ isReal(obj: unknown): boolean; + /** @category Functions */ isRealVal(obj: unknown): obj is RatNum; + /** @category Functions */ isRealSort(obj: unknown): boolean; + /** @category Functions */ isBitVecSort(obj: unknown): obj is BitVecSort; + /** @category Functions */ isBitVec(obj: unknown): obj is BitVec; + /** @category Functions */ isBitVecVal(obj: unknown): obj is BitVecNum; + + /** @category Functions */ + isArraySort(obj: unknown): obj is SMTArraySort, ...AnySort[]], AnySort>; + + /** @category Functions */ + isArray(obj: unknown): obj is SMTArray, ...AnySort[]], AnySort>; + + /** @category Functions */ + isConstArray(obj: unknown): boolean; + /** @category Functions */ isProbe(obj: unknown): obj is Probe; + /** @category Functions */ isTactic(obj: unknown): obj is Tactic; + /** @category Functions */ isAstVector(obj: unknown): obj is AstVector>; + /** * Returns whether two Asts are the same thing * @category Functions */ eqIdentity(a: Ast, b: Ast): boolean; + /** @category Functions */ getVarIndex(obj: Expr): number; + /** * Coerce a boolean into a Bool expression * @category Functions */ from(primitive: boolean): Bool; + /** * Coerce a number to an Int or Real expression (integral numbers become Ints) * @category Functions */ from(primitive: number): IntNum | RatNum; + /** * Coerce a rational into a Real expression * @category Functions */ from(primitive: CoercibleRational): RatNum; + /** * Coerce a big number into a Integer expression * @category Functions */ from(primitive: bigint): IntNum; + /** * Returns whatever expression was given * @category Functions */ from>(expr: E): E; + /** @hidden */ from(value: CoercibleToExpr): AnyExpr; + /** * Sugar function for getting a model for given assertions * @@ -259,60 +336,84 @@ export interface Context { readonly Real: RealCreation; /** @category Expressions */ readonly BitVec: BitVecCreation; + /** @category Expressions */ + readonly Array: SMTArrayCreation; //////////////// // Operations // //////////////// /** @category Operations */ Const>(name: string, sort: S): SortToExprMap; + /** @category Operations */ Consts>(name: string | string[], sort: S): SortToExprMap[]; + /** @category Operations */ FreshConst>(sort: S, prefix?: string): SortToExprMap; + /** @category Operations */ Var>(idx: number, sort: S): SortToExprMap; + // Booleans /** @category Operations */ If(condition: Probe, onTrue: Tactic, onFalse: Tactic): Tactic; + /** @category Operations */ If, OnFalseRef extends CoercibleToExpr>( condition: Bool | boolean, onTrue: OnTrueRef, onFalse: OnFalseRef, ): CoercibleToExprMap; + /** @category Operations */ Distinct(...args: CoercibleToExpr[]): Bool; + /** @category Operations */ Implies(a: Bool | boolean, b: Bool | boolean): Bool; + /** @category Operations */ Eq(a: CoercibleToExpr, b: CoercibleToExpr): Bool; + /** @category Operations */ Xor(a: Bool | boolean, b: Bool | boolean): Bool; + /** @category Operations */ Not(a: Probe): Probe; + /** @category Operations */ Not(a: Bool | boolean): Bool; + /** @category Operations */ And(): Bool; + /** @category Operations */ And(vector: AstVector>): Bool; + /** @category Operations */ And(...args: (Bool | boolean)[]): Bool; + /** @category Operations */ And(...args: Probe[]): Probe; + /** @category Operations */ Or(): Bool; + /** @category Operations */ Or(vector: AstVector>): Bool; + /** @category Operations */ Or(...args: (Bool | boolean)[]): Bool; + /** @category Operations */ Or(...args: Probe[]): Probe; + // Arithmetic /** @category Operations */ ToReal(expr: Arith | bigint): Arith; + /** @category Operations */ ToInt(expr: Arith | number | CoercibleRational | string): Arith; + /** * Create an IsInt Z3 predicate * @@ -325,6 +426,7 @@ export interface Context { * ``` * @category Operations */ IsInt(expr: Arith | number | CoercibleRational | string): Bool; + /** * Returns a Z3 expression representing square root of a * @@ -336,6 +438,7 @@ export interface Context { * ``` * @category Operations */ Sqrt(a: Arith | number | bigint | string | CoercibleRational): Arith; + /** * Returns a Z3 expression representing cubic root of a * @@ -347,13 +450,17 @@ export interface Context { * ``` * @category Operations */ Cbrt(a: Arith | number | bigint | string | CoercibleRational): Arith; + // Bit Vectors /** @category Operations */ BV2Int(a: BitVec, isSigned: boolean): Arith; + /** @category Operations */ Int2BV(a: Arith | bigint | number, bits: Bits): BitVec; + /** @category Operations */ Concat(...bitvecs: BitVec[]): BitVec; + /** @category Operations */ Cond(probe: Probe, onTrue: Tactic, onFalse: Tactic): Tactic } @@ -365,21 +472,27 @@ export interface Ast { readonly ctx: Context; /** @hidden */ readonly ptr: Ptr; + /** @virtual */ get ast(): Z3_ast; + /** @virtual */ id(): number; eqIdentity(other: Ast): boolean; + neqIdentity(other: Ast): boolean; + sexpr(): string; + hash(): number; } /** @hidden */ export interface SolverCtor { - new (): Solver; + new(): Solver; } + export interface Solver { /** @hidden */ readonly __typename: 'Solver'; @@ -392,21 +505,31 @@ export interface Solver { set(params: Record): void; */ push(): void; + pop(num?: number): void; + numScopes(): number; + reset(): void; + add(...exprs: (Bool | AstVector>)[]): void; + addAndTrack(expr: Bool, constant: Bool | string): void; + assertions(): AstVector>; - fromString(s : string): void; + + fromString(s: string): void; + check(...exprs: (Bool | AstVector>)[]): Promise; + model(): Model; } /** @hidden */ export interface ModelCtor { - new (): Model; + new(): Model; } + export interface Model extends Iterable> { /** @hidden */ readonly __typename: 'Model'; @@ -417,17 +540,31 @@ export interface Model extends Iterable]>; + keys(): IterableIterator; + values(): IterableIterator>; + decls(): FuncDecl[]; + sexpr(): string; + eval(expr: Bool, modelCompletion?: boolean): Bool; + eval(expr: Arith, modelCompletion?: boolean): Arith; + + eval(expr: BitVec, modelCompletion?: boolean): BitVecNum; + eval(expr: Expr, modelCompletion?: boolean): Expr; + get(i: number): FuncDecl; + get(from: number, to: number): FuncDecl[]; + get(declaration: FuncDecl): FuncInterp | Expr; + get(constant: Expr): Expr; + get(sort: Sort): AstVector>; } @@ -450,15 +587,24 @@ export interface Model extends Iterable { declare(name: string): Sort; } + export interface Sort extends Ast { /** @hidden */ - readonly __typename: 'Sort' | BoolSort['__typename'] | ArithSort['__typename'] | BitVecSort['__typename']; + readonly __typename: + | 'Sort' + | BoolSort['__typename'] + | ArithSort['__typename'] + | BitVecSort['__typename'] + | SMTArraySort['__typename']; kind(): Z3_sort_kind; + /** @virtual */ subsort(other: Sort): boolean; + /** @virtual */ cast(expr: CoercibleToExpr): Expr; + name(): string | number; } @@ -475,6 +621,7 @@ export interface FuncInterp { /** @hidden */ export type FuncDeclSignature = [Sort, Sort, ...Sort[]]; + /** * Part of {@link Context}. Used to declare functions * @category Functions @@ -493,15 +640,19 @@ export interface FuncDeclCreation { * @param signature The domains, and last parameter - the range of the function */ declare(name: string, ...signature: FuncDeclSignature): FuncDecl; + fresh(...signature: FuncDeclSignature): FuncDecl; } + /** * @category Functions */ export interface RecFuncCreation { declare(name: string, ...signature: FuncDeclSignature): FuncDecl; + addDefinition(f: FuncDecl, args: Expr[], body: Expr): void; } + /** * @category Functions */ @@ -510,27 +661,39 @@ export interface FuncDecl extends Ast; + range(): Sort; + kind(): Z3_decl_kind; + params(): (number | string | Z3_symbol | Sort | Expr | FuncDecl)[]; + call(...args: CoercibleToExpr[]): AnyExpr; } export interface Expr = AnySort, Ptr = unknown> extends Ast { /** @hidden */ - readonly __typename: 'Expr' | Bool['__typename'] | Arith['__typename'] | BitVec['__typename']; + readonly __typename: 'Expr' | Bool['__typename'] | Arith['__typename'] | BitVec['__typename'] | SMTArray['__typename']; get sort(): S; eq(other: CoercibleToExpr): Bool; + neq(other: CoercibleToExpr): Bool; + params(): ReturnType['params']>; + decl(): FuncDecl; + numArgs(): number; + arg(i: number): AnyExpr; + children(): AnyExpr[]; } @@ -540,28 +703,39 @@ export interface BoolSort extends Sort { readonly __typename: 'BoolSort'; cast(expr: Bool | boolean): Bool; + cast(expr: CoercibleToExpr): never; } + /** @category Booleans */ export interface BoolCreation { sort(): BoolSort; const(name: string): Bool; + consts(names: string | string[]): Bool[]; + vector(prefix: string, count: number): Bool[]; + fresh(prefix?: string): Bool; val(value: boolean): Bool; } + /** @category Booleans */ export interface Bool extends Expr, Z3_ast> { /** @hidden */ readonly __typename: 'Bool'; not(): Bool; + and(other: Bool | boolean): Bool; + or(other: Bool | boolean): Bool; + xor(other: Bool | boolean): Bool; + + implies(other: Bool | boolean): Bool; } /** @@ -573,33 +747,46 @@ export interface ArithSort extends Sort { readonly __typename: 'ArithSort'; cast(other: bigint | number | string): IntNum | RatNum; + cast(other: CoercibleRational | RatNum): RatNum; + cast(other: IntNum): IntNum; + cast(other: bigint | number | string | Bool | Arith | CoercibleRational): Arith; + cast(other: CoercibleToExpr | string): never; } + /** @category Arithmetic */ export interface IntCreation { sort(): ArithSort; const(name: string): Arith; + consts(names: string | string[]): Arith[]; + vector(prefix: string, count: number): Arith[]; + fresh(prefix?: string): Arith; val(value: bigint | number | string): IntNum; } + /** @category Arithmetic */ export interface RealCreation { sort(): ArithSort; const(name: string): Arith; + consts(names: string | string[]): Arith[]; + vector(prefix: string, count: number): Arith[]; + fresh(prefix?: string): Arith; val(value: number | string | bigint | CoercibleRational): RatNum; } + /** * Represents Integer or Real number expression * @category Arithmetic @@ -612,14 +799,17 @@ export interface Arith extends Expr | number | bigint | string): Arith; + /** * Multiplies two numbers together */ mul(other: Arith | number | bigint | string): Arith; + /** * Subtract second number from the first one */ sub(other: Arith | number | bigint | string): Arith; + /** * Applies power to the number * @@ -631,10 +821,12 @@ export interface Arith extends Expr | number | bigint | string): Arith; + /** * Divides the number by the second one */ div(other: Arith | number | bigint | string): Arith; + /** * Returns a number modulo second one * @@ -646,22 +838,27 @@ export interface Arith extends Expr | number | bigint | string): Arith; + /** * Returns a negation of the number */ neg(): Arith; + /** * Return whether the number is less or equal than the second one (`<=`) */ le(other: Arith | number | bigint | string): Bool; + /** * Returns whether the number is less than the second one (`<`) */ lt(other: Arith | number | bigint | string): Bool; + /** * Returns whether the number is greater than the second one (`>`) */ gt(other: Arith | number | bigint | string): Bool; + /** * Returns whether the number is greater or equal than the second one (`>=`) */ @@ -677,7 +874,9 @@ export interface IntNum extends Arith { readonly __typename: 'IntNum'; value(): bigint; + asString(): string; + asBinary(): string; } @@ -701,10 +900,15 @@ export interface RatNum extends Arith { readonly __typename: 'RatNum'; value(): { numerator: bigint; denominator: bigint }; + numerator(): IntNum; + denominator(): IntNum; + asNumber(): number; + asDecimal(prec?: number): string; + asString(): string; } @@ -731,6 +935,7 @@ export interface BitVecSort): BitVec; + cast(other: CoercibleToExpr): Expr; } @@ -739,11 +944,13 @@ export type CoercibleToBitVec; + /** @category Bit Vectors */ export interface BitVecCreation { sort(bits: Bits): BitVecSort; const(name: string, bits: Bits | BitVecSort): BitVec; + consts( names: string | string[], bits: Bits | BitVecSort, @@ -754,6 +961,7 @@ export interface BitVecCreation { bits: Bits | BitVecSort, ): BitVecNum; } + /** * Represents Bit Vector expression * @category Bit Vectors @@ -783,20 +991,28 @@ export interface BitVec): BitVec; + /** * Creates a bitwise-and between two bitvectors * @category Bitwise */ and(other: CoercibleToBitVec): BitVec; + /** * Creates a bitwise-not-and between two bitvectors * @category Bitwise */ nand(other: CoercibleToBitVec): BitVec; + /** * Creates a bitwise-exclusive-or between two bitvectors * @category Bitwise */ xor(other: CoercibleToBitVec): BitVec; + /** * Creates a bitwise-exclusive-not-or between two bitvectors * @category Bitwise */ xnor(other: CoercibleToBitVec): BitVec; + /** * Creates an arithmetic shift right operation * @category Bitwise */ shr(count: CoercibleToBitVec): BitVec; + /** * Creates a logical shift right operation * @category Bitwise */ lshr(count: CoercibleToBitVec): BitVec; + /** * Creates a shift left operation * @category Bitwise */ shl(count: CoercibleToBitVec): BitVec; + /** * Creates a rotate right operation * @category Bitwise */ rotateRight(count: CoercibleToBitVec): BitVec; + /** * Creates a rotate left operation * @category Bitwise */ rotateLeft(count: CoercibleToBitVec): BitVec; + /** * Creates a bitwise not operation * @category Bitwise @@ -872,8 +1098,11 @@ export interface BitVec): Bool; + /** * Creates an unsigned less-or-equal operation (`<=`) * @category Comparison */ ule(other: CoercibleToBitVec): Bool; + /** * Creates a signed less-than operation (`<`) * @category Comparison */ slt(other: CoercibleToBitVec): Bool; + /** * Creates an unsigned less-than operation (`<`) * @category Comparison */ ult(other: CoercibleToBitVec): Bool; + /** * Creates a signed greater-or-equal operation (`>=`) * @category Comparison */ sge(other: CoercibleToBitVec): Bool; + /** * Creates an unsigned greater-or-equal operation (`>=`) * @category Comparison */ uge(other: CoercibleToBitVec): Bool; + /** * Creates a signed greater-than operation (`>`) * @category Comparison */ sgt(other: CoercibleToBitVec): Bool; + /** * Creates an unsigned greater-than operation (`>`) * @category Comparison @@ -921,6 +1157,7 @@ export interface BitVec, isSigned: boolean): Bool; + /** @category Boolean */ addNoUnderflow(other: CoercibleToBitVec): Bool; + /** @category Boolean */ subNoOverflow(other: CoercibleToBitVec): Bool; + /** @category Boolean */ subNoUndeflow(other: CoercibleToBitVec, isSigned: boolean): Bool; + /** @category Boolean */ sdivNoOverflow(other: CoercibleToBitVec): Bool; + /** @category Boolean */ mulNoOverflow(other: CoercibleToBitVec, isSigned: boolean): Bool; + /** @category Boolean */ mulNoUndeflow(other: CoercibleToBitVec): Bool; + /** @category Boolean */ negNoOverflow(): Bool; } @@ -953,11 +1197,113 @@ export interface BitVecNum, ...AnySort[]] = [Sort, ...Sort[]], + RangeSort extends AnySort = AnySort, + > extends Sort { + /** @hidden */ + readonly __typename: 'ArraySort'; + + /** + * The sort of the first dimension of the domain + */ + domain(): DomainSort[0]; + + /** + * The sort of the i-th (0-indexed) dimension of the domain + * + * @param i index of the dimension of the domain being requested + */ + domain_n(i: T): DomainSort[T]; + + /** + * The sort of the range + */ + range(): RangeSort; + +} + +/** @category Arrays */ +export interface SMTArrayCreation { + sort, ...AnySort[]], RangeSort extends AnySort>( + ...sig: [...DomainSort, RangeSort] + ): SMTArraySort; + + const, ...AnySort[]], RangeSort extends AnySort>( + name: string, ...sig: [...DomainSort, RangeSort] + ): SMTArray; + + consts, ...AnySort[]], RangeSort extends AnySort>( + names: string | string[], + ...sig: [...DomainSort, RangeSort] + ): SMTArray[]; + + K, RangeSort extends AnySort>( + domain: DomainSort, + value: SortToExprMap + ): SMTArray; +} + +export type ArrayIndexType, ...AnySort[]] = [Sort, ...Sort[]]> = [...{ + [Index in keyof DomainSort]: DomainSort[Index] extends AnySort ? + CoercibleFromMap, Name> : + DomainSort[Index]; +}] + +/** + * Represents Array expression + * + * @typeParam DomainSort The sort of the domain of the array (provided as an array of sorts) + * @typeParam RangeSort The sort of the array range + * @category Arrays + */ +export interface SMTArray, ...AnySort[]] = [Sort, ...Sort[]], + RangeSort extends AnySort = AnySort> + extends Expr, Z3_ast> { + + /** @hidden */ + readonly __typename: 'Array'; + + domain(): DomainSort[0]; + + domain_n(i: T): DomainSort[T]; + + range(): RangeSort; + + select(...indices: ArrayIndexType): SortToExprMap; + + /** + * value should be coercible to RangeSort + * + * @param indicesAndValue (idx0, idx1, ..., idxN, value) + */ + store( + ...indicesAndValue: [ + ...ArrayIndexType, + CoercibleFromMap, Name> + ] + ): SMTArray; + +} + export interface Probe { /** @hidden */ readonly __typename: 'Probe'; @@ -968,8 +1314,9 @@ export interface Probe { /** @hidden */ export interface TacticCtor { - new (name: string): Tactic; + new(name: string): Tactic; } + export interface Tactic { /** @hidden */ readonly __typename: 'Tactic'; @@ -980,8 +1327,9 @@ export interface Tactic { /** @hidden */ export interface AstVectorCtor { - new = AnyAst>(): AstVector; + new = AnyAst>(): AstVector; } + /** * Stores multiple {@link Ast} objects * @@ -1004,24 +1352,35 @@ export interface AstVector readonly ctx: Context; readonly ptr: Z3_ast_vector; + length(): number; entries(): IterableIterator<[number, Item]>; + keys(): IterableIterator; + values(): IterableIterator; + get(i: number): Item; + get(from: number, to: number): Item[]; + set(i: number, v: Item): void; + push(v: Item): void; + resize(size: number): void; + has(v: Item): boolean; + sexpr(): string; } /** @hidden */ export interface AstMapCtor { - new = AnyAst, Value extends Ast = AnyAst>(): AstMap; + new = AnyAst, Value extends Ast = AnyAst>(): AstMap; } + /** * Stores a mapping between different {@link Ast} objects * @@ -1050,16 +1409,25 @@ export interface AstMap = An readonly ctx: Context; readonly ptr: Z3_ast_map; + get size(): number; entries(): IterableIterator<[Key, Value]>; + keys(): AstVector; + values(): IterableIterator; + get(key: Key): Value | undefined; + set(key: Key, value: Value): void; + delete(key: Key): void; + clear(): void; + has(key: Key): boolean; + sexpr(): string; } @@ -1069,17 +1437,24 @@ export interface AstMap = An export interface Z3HighLevel { // Global functions enableTrace(tag: string): void; + disableTrace(tag: string): void; + getVersion(): { major: number; minor: number; build_number: number; revision_number: number; }; + getVersionString(): string; + getFullVersion(): string; + openLog(filename: string): boolean; + appendLog(s: string): void; + /** * Set a Z3 parameter * @@ -1088,6 +1463,7 @@ export interface Z3HighLevel { * ``` */ setParam(key: string, value: any): void; + /** * Set multiple Z3 parameters at once * @@ -1099,10 +1475,12 @@ export interface Z3HighLevel { * ``` */ setParam(key: Record): void; + /** * Resets all Z3 parameters */ resetParams(): void; + /** * Returns a global Z3 parameter */