math: rename storage flag real -> f64 (real kept as alias)#9
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… alias) Introduce `f64` as the canonical name for the binary64-backed storage flag and keep `real` as a bit-identical deprecated alias for one release. This frees the `real` name and sets up the sibling `f32` (binary32 storage) coming next; it also reflects that the flag is purely a STORAGE choice (transcendentals gate on snap). - policy_flag.hpp: `f64` is the flag (formerly `real`'s bits, unchanged); `real` is now `inline static constexpr policy_flag real = f64;`. Because the value is identical, every existing `has_flag(P, real)` / `| real` site — 27 test/example files and all library internals — compiles unchanged. - Tests: f64 selects the same double-backed raw as real and the two are the same flag (test_storage_flags.cpp). - Docs: policies.md + math.md present `f64` as canonical, `real` as deprecated. Behavior-identical; no internal `real_raw`/storage renames yet — those land with the f32 storage backend (next PR), where the f64/f32 pairing motivates them. Verified: default 405/405, CORDIC 442/442, FLOAT 396/396. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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Phase 4b (part 2a) — rename
real→f64Introduces
f64as the canonical name for the binary64-backed storage flag, withrealkept as a bit-identical deprecated alias for one release. This frees therealname and sets up the siblingf32(binary32 storage) coming in the next PR. It also reflects what the flag actually is — a storage choice — now that transcendentals gate onsnap, not on it.Behavior-identical
policy_flag real = f64;— same value, so every existinghas_flag(P, real)/| realsite (27 test/example files + all library internals) compiles unchanged. No functional change.f64is the flag;realis the alias.f64selects the same double-backed raw asreal, and they are the same flag.f64as canonical,realas deprecated.Internal
real_raw/store_realrenames are deferred to thef32PR, where thef64/f32pairing motivates them.Verified: default 405/405, CORDIC 442/442, FLOAT 396/396.
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