spec: math completeness — trig, quotient, gcd/lcm, radix number<->string
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Phase 15 implementation:
- spec/primitives.sx: stdlib.math module — sin/cos/tan/asin/acos/atan/exp/log/expt/quotient/gcd/lcm/number->string/string->number (13 primitives)
- JS platform: stdlib.math module; strict string->number parsing (rejects partial matches like "fg" in base 16)
- OCaml: expt, quotient, gcd, lcm, number->string (radix), string->number (radix); atan updated to accept optional 2nd arg (atan2 form)
- spec/tests/test-math.sx: 44 tests — trig/inverse trig, expt, quotient semantics, gcd/lcm, radix formatting/parsing, tower integration
- JS: 2311/4801 (+2 net); OCaml: 4547/5629 (+1 net); zero regressions in math area

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
This commit is contained in:
2026-05-01 16:23:40 +00:00
parent ab3c3693c0
commit be2b11acc2
5 changed files with 387 additions and 2 deletions

View File

@@ -1427,6 +1427,49 @@ PRIMITIVES_JS_MODULES: dict[str, str] = {
if (a === 0) return 0;
return 32 - Math.clz32(Math.abs(a));
};
''',
"stdlib.math": '''
// stdlib.math
PRIMITIVES["sin"] = Math.sin;
PRIMITIVES["cos"] = Math.cos;
PRIMITIVES["tan"] = Math.tan;
PRIMITIVES["asin"] = Math.asin;
PRIMITIVES["acos"] = Math.acos;
PRIMITIVES["atan"] = function(y, x) { return arguments.length >= 2 ? Math.atan2(y, x) : Math.atan(y); };
PRIMITIVES["exp"] = Math.exp;
PRIMITIVES["log"] = Math.log;
PRIMITIVES["expt"] = Math.pow;
PRIMITIVES["quotient"] = function(a, b) { return Math.trunc(a / b); };
PRIMITIVES["gcd"] = function(a, b) {
a = Math.abs(a); b = Math.abs(b);
while (b) { var t = b; b = a % b; a = t; }
return a;
};
PRIMITIVES["lcm"] = function(a, b) {
var g = PRIMITIVES["gcd"](Math.abs(a), Math.abs(b));
return g === 0 ? 0 : Math.abs(a / g * b);
};
PRIMITIVES["number->string"] = function(n, r) {
if (r === undefined || r === null) return String(n);
return Math.floor(n).toString(r);
};
PRIMITIVES["string->number"] = function(s, r) {
s = String(s);
if (r !== undefined && r !== null) {
var radix = r | 0;
var valid = "0123456789abcdefghijklmnopqrstuvwxyz".slice(0, radix);
var norm = s.toLowerCase();
var start = norm[0] === '-' ? 1 : 0;
if (norm.length <= start) return NIL;
for (var i = start; i < norm.length; i++) {
if (valid.indexOf(norm[i]) === -1) return NIL;
}
return parseInt(s, radix);
}
if (s === '') return NIL;
var n = Number(s);
return isNaN(n) ? NIL : n;
};
''',
"stdlib.hash-table": '''
// stdlib.hash-table