lib/math: NAN/INF bits + flattened F64_EXPBIAS (#106 fold-1b)

Flattened from Hare's const struct instances per #129 cgen module-let-
init gap; NAN/INF expressed as `def NAN_BITS:u64 = 0x...;` and
`def INF_BITS:u64 = 0x...;` materialized via f64frombits(NAN_BITS) at
use-site. F64_EXPBIAS:int flattened from f64info.expbias (cite
ref/hare/math/floats.ha:117); floatinfo struct definition preserved for
γ-cleanup re-fold when #129 closes. F32_EXPBIAS deferred (option-ii:
stof.ha consumers reach f.expbias via struct-field only).

lib/math/floats.ww

@@ -1,12 +1,13 @@
 // floats — f64 classification, sign, bit-reinterpret core, and the f64
 // decompose half (subnormal-normalize + frexp). Ported from
 // ref/hare/math/floats.ha (fold-1: classify/sign/bits; fold-2a:
-// issubnormalf64/normalizef64/frexpf64; strconv-foundation fold:
-// F32 bit-layout + f32bits/f32frombits + floatinfo struct type).
-// frexpf64's zero guard `n == 0f64` rides the #103 fix (no-decimal f64
-// literal now materialized into XMM) and its (f64, i64) tuple return
-// rides the #105 fix (tuple f64-word read). The ldexp/modfrac/nextafter
-// family stays deferred (need f64 DIVIDE + the INF const).
+// issubnormalf64/normalizef64/frexpf64; strconv-foundation fold-1a:
+// F32 bit-layout + f32bits/f32frombits + floatinfo struct type;
+// fold-1b: NAN_BITS/INF_BITS sentinels + F64_EXPBIAS (flattened from
+// f64info per #129)). frexpf64's zero guard `n == 0f64` rides the #103
+// fix (no-decimal f64 literal now materialized into XMM) and its
+// (f64, i64) tuple return rides the #105 fix (tuple f64-word read).
+// The ldexp/modfrac/nextafter family stays deferred (need f64 DIVIDE).
 
 package math;
 
@@ -77,6 +78,15 @@ def F64_EXP_REMOVAL_MASK: u64 = ~(F64_EXPONENT_MASK << F64_MANTISSA_BITS);
 // ref/hare/math/floats.ha:84
 def F64_EXP_ZERO: u64 = (F64_EXPONENT_BIAS - 1) << F64_MANTISSA_BITS;
 
+// flattened from f64info per #129 (cgen module-level struct-init gap);
+// cite ref/hare/math/floats.ha:117. Re-fold to const f64info: floatinfo
+// when #129 closes (γ-cleanup pattern per amalloc-drop precedent).
+// The existing F64_EXPONENT_BIAS:u64 above is the bit-ops alias; this
+// int-typed F64_EXPBIAS is the floatinfo.expbias-field counterpart and
+// drops the cast at the construction site (see ref/hare/strconv/stof.ha
+// :248,288 for the consumer pattern).
+export def F64_EXPBIAS: int = 1023;
+
 // F32 bit-structure constants. ref/hare/math/floats.ha:27,30,33 declare
 // these as untyped int; ww has no untyped def, so they ride u32 (matching
 // the u32 bit container, the same way the F64 family rides u64 — see
@@ -144,6 +154,19 @@ export type floatinfo = struct {
 	expmask: u64,
 };
 
+// IEEE-754 quiet-NaN and positive-Infinity f64 bit sentinels.
+// ref/hare/math/floats.ha:137,141. Hare exports `def NAN = 0.0/0.0;` and
+// `def INF = 1.0/0.0;` (untyped float def-fold); ww's cgen doesn't lower
+// `def: f64 = expr;` (the symbol comes out undefined at link time — see
+// #129). Callers materialize the f64 sentinel via f64frombits(NAN_BITS)
+// / f64frombits(INF_BITS); same bit-exact value, one extra reinterpret.
+// 0x7FF8000000000000 is the IEEE-754 binary64 quiet-NaN (sign=0, exp=
+// all-ones, mantissa MSB=1, rest=0); 0x7FF0000000000000 is +Infinity
+// (sign=0, exp=all-ones, mantissa=0). Re-fold to `def NAN: f64 = ...`
+// when #129 closes (γ-cleanup pattern per amalloc-drop precedent).
+export def NAN_BITS: u64 = 0x7FF8000000000000u64;
+export def INF_BITS: u64 = 0x7FF0000000000000u64;
+
 // Returns true if the given floating-point number is NaN.
 // ref/hare/math/floats.ha:144 (Hare's expression body inlined into a
 // block: ww has no expression-bodied fn form, only brace blocks).

test/wcc/952_floats_run.c

@@ -306,6 +306,43 @@ static const struct row rows[] = {
 	  "	if (readbits(&info) != 23u64) { return 3; };\n"
 	  "	return 0;\n"
 	  "};\n", 0 },
+	/* --- strconv-foundation fold-1b: NAN_BITS / INF_BITS sentinels.
+	 * Hare exports `def NAN = 0.0/0.0;` / `def INF = 1.0/0.0;` (ref/hare/
+	 * math/floats.ha:137,141); ww materializes via f64frombits(NAN_BITS)
+	 * / f64frombits(INF_BITS) until #129 closes. The bit values are
+	 * IEEE-754 facts (quiet-NaN: exp-all-ones + mantissa-MSB; +Inf:
+	 * exp-all-ones + mantissa-zero) — any drift means the def-folded
+	 * sentinels broke. */
+	{ "package main;\n"
+	  "import math;\n"
+	  "export fn main() i32 = {\n"
+	  "	if (math.NAN_BITS != 0x7FF8000000000000u64) { return 1; };\n"
+	  "	if (math.INF_BITS != 0x7FF0000000000000u64) { return 2; };\n"
+	  "	let n: f64 = math.f64frombits(math.NAN_BITS);\n"
+	  "	if (!math.isnan(n)) { return 3; };\n"
+	  "	if (math.isnan(1.0)) { return 4; };\n"
+	  "	let i: f64 = math.f64frombits(math.INF_BITS);\n"
+	  "	if (!math.isinf(i)) { return 5; };\n"
+	  "	if (!math.isinf(-i)) { return 6; };\n"
+	  "	if (math.isinf(1.23)) { return 7; };\n"
+	  "	return 0;\n"
+	  "};\n", 0 },
+	/* F64_EXPBIAS — the f64info.expbias-field-typed counterpart of the
+	 * existing F64_EXPONENT_BIAS:u64. Flattened from f64info per #129.
+	 * Round-trips into a floatinfo struct's expbias field with zero
+	 * casts (the consumer pattern fold-4 stof will use). Cite ref/hare/
+	 * math/floats.ha:117 (f64info struct const) + :24 (the existing
+	 * untyped F64_EXPONENT_BIAS). */
+	{ "package main;\n"
+	  "import math;\n"
+	  "export fn main() i32 = {\n"
+	  "	if (math.F64_EXPBIAS != 1023) { return 1; };\n"
+	  "	let info: math.floatinfo;\n"
+	  "	info.expbias = math.F64_EXPBIAS;\n"
+	  "	if (info.expbias != 1023) { return 2; };\n"
+	  "	if (info.expbias != math.F64_EXPBIAS) { return 3; };\n"
+	  "	return 0;\n"
+	  "};\n", 0 },
 	{ NULL, 0 }
 };