[libc-commits] [libc] [libc][NFC] Rename `MANTISSA_WIDTH` in `FRACTION_BITS` (PR #75489)

Guillaume Chatelet via libc-commits libc-commits at lists.llvm.org
Fri Dec 15 02:33:48 PST 2023


https://github.com/gchatelet updated https://github.com/llvm/llvm-project/pull/75489

>From be525927b06b34a08a1b0450ec94e7b00d720025 Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Thu, 14 Dec 2023 15:59:40 +0000
Subject: [PATCH 01/10] [libc][NFC] Rename MANTISSA_WIDTH in FRACTION_BITS

This one might be a bit controversial since the terminology has been introduced from the start but I think `FRACTION_BITS` is a better name here. AFAICT it really is "the number of bits after the decimal dot when the number is in normal form."

Mantissa width is less precise as it's unclear whether we take into account the hidden bit for IEEE754 formats.
---
 libc/src/__support/FPUtil/FPBits.h            | 24 ++++++-------
 libc/src/__support/FPUtil/FloatProperties.h   | 14 ++++----
 libc/src/__support/FPUtil/Hypot.h             |  8 ++---
 .../__support/FPUtil/ManipulationFunctions.h  |  2 +-
 .../FPUtil/NearestIntegerOperations.h         | 16 ++++-----
 libc/src/__support/FPUtil/NormalFloat.h       | 10 +++---
 libc/src/__support/FPUtil/dyadic_float.h      | 10 +++---
 libc/src/__support/FPUtil/fpbits_str.h        |  3 +-
 libc/src/__support/FPUtil/generic/FMA.h       |  8 ++---
 libc/src/__support/FPUtil/generic/FMod.h      |  2 +-
 libc/src/__support/FPUtil/generic/sqrt.h      |  6 ++--
 .../FPUtil/generic/sqrt_80_bit_long_double.h  |  6 ++--
 .../__support/FPUtil/x86_64/LongDoubleBits.h  | 28 +++++++--------
 .../FPUtil/x86_64/NextAfterLongDouble.h       | 17 +++++----
 libc/src/__support/float_to_string.h          | 18 +++++-----
 libc/src/__support/str_to_float.h             | 32 ++++++++---------
 libc/src/math/generic/asinf.cpp               |  2 +-
 libc/src/math/generic/erff.cpp                |  2 +-
 libc/src/math/generic/exp.cpp                 |  4 +--
 libc/src/math/generic/exp10.cpp               |  4 +--
 libc/src/math/generic/exp2.cpp                |  4 +--
 libc/src/math/generic/exp2f_impl.h            |  2 +-
 libc/src/math/generic/explogxf.h              | 16 ++++-----
 libc/src/math/generic/expm1.cpp               |  4 +--
 libc/src/math/generic/hypotf.cpp              |  2 +-
 libc/src/math/generic/log1p.cpp               | 17 +++++----
 libc/src/math/generic/log1pf.cpp              |  2 +-
 libc/src/math/generic/powf.cpp                | 20 +++++------
 libc/src/math/generic/range_reduction.h       |  2 +-
 libc/src/math/generic/sincosf.cpp             |  2 +-
 libc/src/math/generic/tanhf.cpp               |  2 +-
 .../stdio/printf_core/float_dec_converter.h   | 36 +++++++++----------
 .../stdio/printf_core/float_hex_converter.h   | 14 ++++----
 libc/test/src/math/FrexpTest.h                |  2 +-
 libc/test/src/math/LdExpTest.h                | 10 +++---
 libc/test/src/math/LogbTest.h                 |  2 +-
 libc/test/src/math/NextAfterTest.h            |  6 ++--
 libc/test/src/math/RoundToIntegerTest.h       |  2 +-
 libc/test/src/math/SqrtTest.h                 |  2 +-
 libc/test/src/math/smoke/FrexpTest.h          |  2 +-
 libc/test/src/math/smoke/LdExpTest.h          | 10 +++---
 libc/test/src/math/smoke/LogbTest.h           |  2 +-
 libc/test/src/math/smoke/NextAfterTest.h      |  6 ++--
 libc/test/src/math/smoke/NextTowardTest.h     |  6 ++--
 libc/test/src/math/smoke/SqrtTest.h           |  2 +-
 libc/utils/MPFRWrapper/MPFRUtils.cpp          |  6 ++--
 46 files changed, 193 insertions(+), 204 deletions(-)

diff --git a/libc/src/__support/FPUtil/FPBits.h b/libc/src/__support/FPUtil/FPBits.h
index d1e26de22ef130..bbc006dc10eaa0 100644
--- a/libc/src/__support/FPUtil/FPBits.h
+++ b/libc/src/__support/FPUtil/FPBits.h
@@ -37,8 +37,8 @@ template <typename T> struct FPBits : private FloatProperties<T> {
   using FloatProperties<T>::EXPONENT_MASK;
   using FloatProperties<T>::EXPONENT_BIAS;
   using FloatProperties<T>::EXPONENT_WIDTH;
-  using FloatProperties<T>::MANTISSA_MASK;
-  using FloatProperties<T>::MANTISSA_WIDTH;
+  using FloatProperties<T>::FRACTION_MASK;
+  using FloatProperties<T>::FRACTION_BITS;
   using FloatProperties<T>::QUIET_NAN_MASK;
   using FloatProperties<T>::SIGN_MASK;
 
@@ -48,32 +48,32 @@ template <typename T> struct FPBits : private FloatProperties<T> {
   UIntType bits;
 
   LIBC_INLINE constexpr void set_mantissa(UIntType mantVal) {
-    mantVal &= MANTISSA_MASK;
-    bits &= ~MANTISSA_MASK;
+    mantVal &= FRACTION_MASK;
+    bits &= ~FRACTION_MASK;
     bits |= mantVal;
   }
 
   LIBC_INLINE constexpr UIntType get_mantissa() const {
-    return bits & MANTISSA_MASK;
+    return bits & FRACTION_MASK;
   }
 
   LIBC_INLINE constexpr void set_biased_exponent(UIntType expVal) {
-    expVal = (expVal << MANTISSA_WIDTH) & EXPONENT_MASK;
+    expVal = (expVal << FRACTION_BITS) & EXPONENT_MASK;
     bits &= ~EXPONENT_MASK;
     bits |= expVal;
   }
 
   LIBC_INLINE constexpr uint16_t get_biased_exponent() const {
-    return uint16_t((bits & EXPONENT_MASK) >> MANTISSA_WIDTH);
+    return uint16_t((bits & EXPONENT_MASK) >> FRACTION_BITS);
   }
 
   // The function return mantissa with the implicit bit set iff the current
   // value is a valid normal number.
   LIBC_INLINE constexpr UIntType get_explicit_mantissa() {
     return ((get_biased_exponent() > 0 && !is_inf_or_nan())
-                ? (MANTISSA_MASK + 1)
+                ? (FRACTION_MASK + 1)
                 : 0) |
-           (MANTISSA_MASK & bits);
+           (FRACTION_MASK & bits);
   }
 
   LIBC_INLINE constexpr void set_sign(bool signVal) {
@@ -92,10 +92,10 @@ template <typename T> struct FPBits : private FloatProperties<T> {
   static constexpr int MAX_EXPONENT = (1 << EXPONENT_WIDTH) - 1;
 
   static constexpr UIntType MIN_SUBNORMAL = UIntType(1);
-  static constexpr UIntType MAX_SUBNORMAL = (UIntType(1) << MANTISSA_WIDTH) - 1;
-  static constexpr UIntType MIN_NORMAL = (UIntType(1) << MANTISSA_WIDTH);
+  static constexpr UIntType MAX_SUBNORMAL = FRACTION_MASK;
+  static constexpr UIntType MIN_NORMAL = (UIntType(1) << FRACTION_BITS);
   static constexpr UIntType MAX_NORMAL =
-      ((UIntType(MAX_EXPONENT) - 1) << MANTISSA_WIDTH) | MAX_SUBNORMAL;
+      ((UIntType(MAX_EXPONENT) - 1) << FRACTION_BITS) | MAX_SUBNORMAL;
 
   // We don't want accidental type promotions/conversions, so we require exact
   // type match.
diff --git a/libc/src/__support/FPUtil/FloatProperties.h b/libc/src/__support/FPUtil/FloatProperties.h
index 3f7dbdc5af3425..9e301fc1cbbeb3 100644
--- a/libc/src/__support/FPUtil/FloatProperties.h
+++ b/libc/src/__support/FPUtil/FloatProperties.h
@@ -152,18 +152,16 @@ struct FPProperties : public internal::FPBaseProperties<fp_type> {
           ? bit_at(SIG_BITS - 1) | bit_at(SIG_BITS - 3) // 0b1010...
           : bit_at(SIG_BITS - 2);                       // 0b0100...
 
-  // The number of bits after the decimal dot when the number if in normal form.
+public:
+  LIBC_INLINE_VAR static constexpr uint32_t BIT_WIDTH = TOTAL_BITS;
+  // The number of bits after the decimal dot when the number is in normal form.
   LIBC_INLINE_VAR static constexpr int FRACTION_BITS =
       UP::ENCODING == internal::FPEncoding::X86_ExtendedPrecision ? SIG_BITS - 1
                                                                   : SIG_BITS;
-
-public:
-  LIBC_INLINE_VAR static constexpr uint32_t BIT_WIDTH = TOTAL_BITS;
-  LIBC_INLINE_VAR static constexpr uint32_t MANTISSA_WIDTH = FRACTION_BITS;
   LIBC_INLINE_VAR static constexpr uint32_t MANTISSA_PRECISION =
-      MANTISSA_WIDTH + 1;
-  LIBC_INLINE_VAR static constexpr UIntType MANTISSA_MASK =
-      mask_trailing_ones<UIntType, MANTISSA_WIDTH>();
+      FRACTION_BITS + 1;
+  LIBC_INLINE_VAR static constexpr UIntType FRACTION_MASK =
+      mask_trailing_ones<UIntType, FRACTION_BITS>();
   LIBC_INLINE_VAR static constexpr uint32_t EXPONENT_WIDTH = EXP_BITS;
   LIBC_INLINE_VAR static constexpr int32_t EXPONENT_BIAS = EXP_BIAS;
   LIBC_INLINE_VAR static constexpr UIntType EXPONENT_MASK = EXP_MASK;
diff --git a/libc/src/__support/FPUtil/Hypot.h b/libc/src/__support/FPUtil/Hypot.h
index ad6b72db0524fc..4d6b786b1b6208 100644
--- a/libc/src/__support/FPUtil/Hypot.h
+++ b/libc/src/__support/FPUtil/Hypot.h
@@ -124,7 +124,7 @@ LIBC_INLINE T hypot(T x, T y) {
   uint16_t y_exp = y_bits.get_biased_exponent();
   uint16_t exp_diff = (x_exp > y_exp) ? (x_exp - y_exp) : (y_exp - x_exp);
 
-  if ((exp_diff >= FPBits_t::MANTISSA_WIDTH + 2) || (x == 0) || (y == 0)) {
+  if ((exp_diff >= FPBits_t::FRACTION_BITS + 2) || (x == 0) || (y == 0)) {
     return abs(x) + abs(y);
   }
 
@@ -148,7 +148,7 @@ LIBC_INLINE T hypot(T x, T y) {
   out_exp = a_exp;
 
   // Add an extra bit to simplify the final rounding bit computation.
-  constexpr UIntType ONE = UIntType(1) << (FPBits_t::MANTISSA_WIDTH + 1);
+  constexpr UIntType ONE = UIntType(1) << (FPBits_t::FRACTION_BITS + 1);
 
   a_mant <<= 1;
   b_mant <<= 1;
@@ -158,7 +158,7 @@ LIBC_INLINE T hypot(T x, T y) {
   if (a_exp != 0) {
     leading_one = ONE;
     a_mant |= ONE;
-    y_mant_width = FPBits_t::MANTISSA_WIDTH + 1;
+    y_mant_width = FPBits_t::FRACTION_BITS + 1;
   } else {
     leading_one = internal::find_leading_one(a_mant, y_mant_width);
     a_exp = 1;
@@ -258,7 +258,7 @@ LIBC_INLINE T hypot(T x, T y) {
     }
   }
 
-  y_new |= static_cast<UIntType>(out_exp) << FPBits_t::MANTISSA_WIDTH;
+  y_new |= static_cast<UIntType>(out_exp) << FPBits_t::FRACTION_BITS;
   return cpp::bit_cast<T>(y_new);
 }
 
diff --git a/libc/src/__support/FPUtil/ManipulationFunctions.h b/libc/src/__support/FPUtil/ManipulationFunctions.h
index 51b58ba29bab89..2f22fa2d5baa31 100644
--- a/libc/src/__support/FPUtil/ManipulationFunctions.h
+++ b/libc/src/__support/FPUtil/ManipulationFunctions.h
@@ -130,7 +130,7 @@ LIBC_INLINE T ldexp(T x, int exp) {
   // early. Because the result of the ldexp operation can be a subnormal number,
   // we need to accommodate the (mantissaWidht + 1) worth of shift in
   // calculating the limit.
-  int exp_limit = FPBits<T>::MAX_EXPONENT + FPBits<T>::MANTISSA_WIDTH + 1;
+  int exp_limit = FPBits<T>::MAX_EXPONENT + FPBits<T>::FRACTION_BITS + 1;
   if (exp > exp_limit)
     return bits.get_sign() ? T(FPBits<T>::neg_inf()) : T(FPBits<T>::inf());
 
diff --git a/libc/src/__support/FPUtil/NearestIntegerOperations.h b/libc/src/__support/FPUtil/NearestIntegerOperations.h
index b0ae8d0040ea19..37bdaca7c25153 100644
--- a/libc/src/__support/FPUtil/NearestIntegerOperations.h
+++ b/libc/src/__support/FPUtil/NearestIntegerOperations.h
@@ -36,7 +36,7 @@ LIBC_INLINE T trunc(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::MANTISSA_WIDTH))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
     return x;
 
   // If the exponent is such that abs(x) is less than 1, then return 0.
@@ -47,7 +47,7 @@ LIBC_INLINE T trunc(T x) {
       return T(0.0);
   }
 
-  int trim_size = FPBits<T>::MANTISSA_WIDTH - exponent;
+  int trim_size = FPBits<T>::FRACTION_BITS - exponent;
   bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
   return T(bits);
 }
@@ -65,7 +65,7 @@ LIBC_INLINE T ceil(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::MANTISSA_WIDTH))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
     return x;
 
   if (exponent <= -1) {
@@ -75,7 +75,7 @@ LIBC_INLINE T ceil(T x) {
       return T(1.0);
   }
 
-  uint32_t trim_size = FPBits<T>::MANTISSA_WIDTH - exponent;
+  uint32_t trim_size = FPBits<T>::FRACTION_BITS - exponent;
   bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
   T trunc_value = T(bits);
 
@@ -114,7 +114,7 @@ LIBC_INLINE T round(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::MANTISSA_WIDTH))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
     return x;
 
   if (exponent == -1) {
@@ -133,7 +133,7 @@ LIBC_INLINE T round(T x) {
       return T(0.0);
   }
 
-  uint32_t trim_size = FPBits<T>::MANTISSA_WIDTH - exponent;
+  uint32_t trim_size = FPBits<T>::FRACTION_BITS - exponent;
   bool half_bit_set =
       bool(bits.get_mantissa() & (UIntType(1) << (trim_size - 1)));
   bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
@@ -167,7 +167,7 @@ LIBC_INLINE T round_using_current_rounding_mode(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::MANTISSA_WIDTH))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
     return x;
 
   if (exponent <= -1) {
@@ -188,7 +188,7 @@ LIBC_INLINE T round_using_current_rounding_mode(T x) {
     }
   }
 
-  uint32_t trim_size = FPBits<T>::MANTISSA_WIDTH - exponent;
+  uint32_t trim_size = FPBits<T>::FRACTION_BITS - exponent;
   FPBits<T> new_bits = bits;
   new_bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
   T trunc_value = T(new_bits);
diff --git a/libc/src/__support/FPUtil/NormalFloat.h b/libc/src/__support/FPUtil/NormalFloat.h
index 397a3bb41673b0..32ce0e2ab1299a 100644
--- a/libc/src/__support/FPUtil/NormalFloat.h
+++ b/libc/src/__support/FPUtil/NormalFloat.h
@@ -32,7 +32,7 @@ template <typename T> struct NormalFloat {
       "NormalFloat template parameter has to be a floating point type.");
 
   using UIntType = typename FPBits<T>::UIntType;
-  static constexpr UIntType ONE = (UIntType(1) << FPBits<T>::MANTISSA_WIDTH);
+  static constexpr UIntType ONE = (UIntType(1) << FPBits<T>::FRACTION_BITS);
 
   // Unbiased exponent value.
   int32_t exponent;
@@ -40,7 +40,7 @@ template <typename T> struct NormalFloat {
   UIntType mantissa;
   // We want |UIntType| to have atleast one bit more than the actual mantissa
   // bit width to accommodate the implicit 1 value.
-  static_assert(sizeof(UIntType) * 8 >= FPBits<T>::MANTISSA_WIDTH + 1,
+  static_assert(sizeof(UIntType) * 8 >= FPBits<T>::FRACTION_BITS + 1,
                 "Bad type for mantissa in NormalFloat.");
 
   bool sign;
@@ -105,7 +105,7 @@ template <typename T> struct NormalFloat {
       unsigned shift = SUBNORMAL_EXPONENT - exponent;
       // Since exponent > subnormalExponent, shift is strictly greater than
       // zero.
-      if (shift <= FPBits<T>::MANTISSA_WIDTH + 1) {
+      if (shift <= FPBits<T>::FRACTION_BITS + 1) {
         // Generate a subnormal number. Might lead to loss of precision.
         // We round to nearest and round halfway cases to even.
         const UIntType shift_out_mask = (UIntType(1) << shift) - 1;
@@ -163,7 +163,7 @@ template <typename T> struct NormalFloat {
 
   LIBC_INLINE unsigned evaluate_normalization_shift(UIntType m) {
     unsigned shift = 0;
-    for (; (ONE & m) == 0 && (shift < FPBits<T>::MANTISSA_WIDTH);
+    for (; (ONE & m) == 0 && (shift < FPBits<T>::FRACTION_BITS);
          m <<= 1, ++shift)
       ;
     return shift;
@@ -222,7 +222,7 @@ template <> LIBC_INLINE NormalFloat<long double>::operator long double() const {
   constexpr int SUBNORMAL_EXPONENT = -LDBits::EXPONENT_BIAS + 1;
   if (exponent < SUBNORMAL_EXPONENT) {
     unsigned shift = SUBNORMAL_EXPONENT - exponent;
-    if (shift <= LDBits::MANTISSA_WIDTH + 1) {
+    if (shift <= LDBits::FRACTION_BITS + 1) {
       // Generate a subnormal number. Might lead to loss of precision.
       // We round to nearest and round halfway cases to even.
       const UIntType shift_out_mask = (UIntType(1) << shift) - 1;
diff --git a/libc/src/__support/FPUtil/dyadic_float.h b/libc/src/__support/FPUtil/dyadic_float.h
index 5f0d8f49ccf64d..da926e78003c0a 100644
--- a/libc/src/__support/FPUtil/dyadic_float.h
+++ b/libc/src/__support/FPUtil/dyadic_float.h
@@ -42,10 +42,10 @@ template <size_t Bits> struct DyadicFloat {
 
   template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
   DyadicFloat(T x) {
-    static_assert(FloatProperties<T>::MANTISSA_WIDTH < Bits);
+    static_assert(FloatProperties<T>::FRACTION_BITS < Bits);
     FPBits<T> x_bits(x);
     sign = x_bits.get_sign();
-    exponent = x_bits.get_exponent() - FloatProperties<T>::MANTISSA_WIDTH;
+    exponent = x_bits.get_exponent() - FloatProperties<T>::FRACTION_BITS;
     mantissa = MantissaType(x_bits.get_explicit_mantissa());
     normalize();
   }
@@ -86,7 +86,7 @@ template <size_t Bits> struct DyadicFloat {
   // TODO(lntue): Test or add specialization for x86 long double.
   template <typename T, typename = cpp::enable_if_t<
                             cpp::is_floating_point_v<T> &&
-                                (FloatProperties<T>::MANTISSA_WIDTH < Bits),
+                                (FloatProperties<T>::FRACTION_BITS < Bits),
                             void>>
   explicit operator T() const {
     // TODO(lntue): Do we need to treat signed zeros properly?
@@ -116,7 +116,7 @@ template <size_t Bits> struct DyadicFloat {
 
     T d_hi = FPBits<T>::create_value(sign, exp_hi,
                                      static_cast<output_bits_t>(m_hi) &
-                                         FloatProperties<T>::MANTISSA_MASK)
+                                         FloatProperties<T>::FRACTION_MASK)
                  .get_val();
 
     const MantissaType round_mask = MantissaType(1) << (shift - 1);
@@ -157,7 +157,7 @@ template <size_t Bits> struct DyadicFloat {
     if (LIBC_UNLIKELY(denorm)) {
       // Output is denormal, simply clear the exponent field.
       output_bits_t clear_exp = output_bits_t(exp_hi)
-                                << FloatProperties<T>::MANTISSA_WIDTH;
+                                << FloatProperties<T>::FRACTION_BITS;
       output_bits_t r_bits = FPBits<T>(r).uintval() - clear_exp;
       return FPBits<T>(r_bits).get_val();
     }
diff --git a/libc/src/__support/FPUtil/fpbits_str.h b/libc/src/__support/FPUtil/fpbits_str.h
index 5d0bb6cf1ac4d9..f23988cc3a680e 100644
--- a/libc/src/__support/FPUtil/fpbits_str.h
+++ b/libc/src/__support/FPUtil/fpbits_str.h
@@ -56,8 +56,7 @@ template <typename T> LIBC_INLINE cpp::string str(fputil::FPBits<T> x) {
   const details::ZeroPaddedHexFmt<uint16_t> exponent(x.get_biased_exponent());
   s += exponent.view();
 
-  if constexpr (cpp::is_same_v<T, long double> &&
-                fputil::FloatProperties<long double>::MANTISSA_WIDTH == 63) {
+  if constexpr (fputil::get_fp_type<T>() == fputil::FPType::X86_Binary80) {
     s += ", I: ";
     s += sign_char(x.get_implicit_bit());
   }
diff --git a/libc/src/__support/FPUtil/generic/FMA.h b/libc/src/__support/FPUtil/generic/FMA.h
index 3c4d943a7c71fb..7aed3168ace5a4 100644
--- a/libc/src/__support/FPUtil/generic/FMA.h
+++ b/libc/src/__support/FPUtil/generic/FMA.h
@@ -159,10 +159,10 @@ template <> LIBC_INLINE double fma<double>(double x, double y, double z) {
 
   UInt128 prod_mant = x_mant * y_mant << 10;
   int prod_lsb_exp =
-      x_exp + y_exp - (FPBits::EXPONENT_BIAS + 2 * FPBits::MANTISSA_WIDTH + 10);
+      x_exp + y_exp - (FPBits::EXPONENT_BIAS + 2 * FPBits::FRACTION_BITS + 10);
 
   z_mant <<= 64;
-  int z_lsb_exp = z_exp - (FPBits::MANTISSA_WIDTH + 64);
+  int z_lsb_exp = z_exp - (FPBits::FRACTION_BITS + 64);
   bool round_bit = false;
   bool sticky_bits = false;
   bool z_shifted = false;
@@ -268,8 +268,8 @@ template <> LIBC_INLINE double fma<double>(double x, double y, double z) {
   }
 
   // Remove hidden bit and append the exponent field and sign bit.
-  result = (result & FloatProp::MANTISSA_MASK) |
-           (static_cast<uint64_t>(r_exp) << FloatProp::MANTISSA_WIDTH);
+  result = (result & FloatProp::FRACTION_MASK) |
+           (static_cast<uint64_t>(r_exp) << FloatProp::FRACTION_BITS);
   if (prod_sign) {
     result |= FloatProp::SIGN_MASK;
   }
diff --git a/libc/src/__support/FPUtil/generic/FMod.h b/libc/src/__support/FPUtil/generic/FMod.h
index f30586f9d7f341..7f2e9c41ca194c 100644
--- a/libc/src/__support/FPUtil/generic/FMod.h
+++ b/libc/src/__support/FPUtil/generic/FMod.h
@@ -236,7 +236,7 @@ class FMod {
     int e_y = sy.get_biased_exponent();
 
     // Most common case where |y| is "very normal" and |x/y| < 2^EXPONENT_WIDTH
-    if (LIBC_LIKELY(e_y > int(FPB::MANTISSA_WIDTH) &&
+    if (LIBC_LIKELY(e_y > int(FPB::FRACTION_BITS) &&
                     e_x - e_y <= int(FPB::EXPONENT_WIDTH))) {
       UIntType m_x = sx.get_explicit_mantissa();
       UIntType m_y = sy.get_explicit_mantissa();
diff --git a/libc/src/__support/FPUtil/generic/sqrt.h b/libc/src/__support/FPUtil/generic/sqrt.h
index cd5ec58bcdbd5f..bafea6595506f1 100644
--- a/libc/src/__support/FPUtil/generic/sqrt.h
+++ b/libc/src/__support/FPUtil/generic/sqrt.h
@@ -37,7 +37,7 @@ template <typename T>
 LIBC_INLINE void normalize(int &exponent,
                            typename FPBits<T>::UIntType &mantissa) {
   const int shift = cpp::countl_zero(mantissa) -
-                    (8 * sizeof(mantissa) - 1 - FPBits<T>::MANTISSA_WIDTH);
+                    (8 * sizeof(mantissa) - 1 - FPBits<T>::FRACTION_BITS);
   exponent -= shift;
   mantissa <<= shift;
 }
@@ -72,7 +72,7 @@ LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, T> sqrt(T x) {
   } else {
     // IEEE floating points formats.
     using UIntType = typename FPBits<T>::UIntType;
-    constexpr UIntType ONE = UIntType(1) << FPBits<T>::MANTISSA_WIDTH;
+    constexpr UIntType ONE = UIntType(1) << FPBits<T>::FRACTION_BITS;
 
     FPBits<T> bits(x);
 
@@ -148,7 +148,7 @@ LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, T> sqrt(T x) {
       x_exp = ((x_exp >> 1) + FPBits<T>::EXPONENT_BIAS);
 
       y = (y - ONE) |
-          (static_cast<UIntType>(x_exp) << FPBits<T>::MANTISSA_WIDTH);
+          (static_cast<UIntType>(x_exp) << FPBits<T>::FRACTION_BITS);
 
       switch (quick_get_round()) {
       case FE_TONEAREST:
diff --git a/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h b/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h
index 46ca796aeb4b60..c1309f36573546 100644
--- a/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h
+++ b/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h
@@ -23,7 +23,7 @@ namespace x86 {
 LIBC_INLINE void normalize(int &exponent, UInt128 &mantissa) {
   const unsigned int shift = static_cast<unsigned int>(
       cpp::countl_zero(static_cast<uint64_t>(mantissa)) -
-      (8 * sizeof(uint64_t) - 1 - FPBits<long double>::MANTISSA_WIDTH));
+      (8 * sizeof(uint64_t) - 1 - FPBits<long double>::FRACTION_BITS));
   exponent -= shift;
   mantissa <<= shift;
 }
@@ -38,7 +38,7 @@ LIBC_INLINE long double sqrt(long double x);
 LIBC_INLINE long double sqrt(long double x) {
   using LDBits = FPBits<long double>;
   using UIntType = typename LDBits::UIntType;
-  constexpr UIntType ONE = UIntType(1) << int(LDBits::MANTISSA_WIDTH);
+  constexpr UIntType ONE = UIntType(1) << int(LDBits::FRACTION_BITS);
 
   FPBits<long double> bits(x);
 
@@ -111,7 +111,7 @@ LIBC_INLINE long double sqrt(long double x) {
 
     // Append the exponent field.
     x_exp = ((x_exp >> 1) + LDBits::EXPONENT_BIAS);
-    y |= (static_cast<UIntType>(x_exp) << (LDBits::MANTISSA_WIDTH + 1));
+    y |= (static_cast<UIntType>(x_exp) << (LDBits::FRACTION_BITS + 1));
 
     switch (quick_get_round()) {
     case FE_TONEAREST:
diff --git a/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h b/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h
index a31667528be2b0..e64c9dad047393 100644
--- a/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h
+++ b/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h
@@ -33,37 +33,37 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
   using FloatProperties<long double>::EXPONENT_MASK;
   using FloatProperties<long double>::EXPONENT_BIAS;
   using FloatProperties<long double>::EXPONENT_WIDTH;
-  using FloatProperties<long double>::MANTISSA_MASK;
-  using FloatProperties<long double>::MANTISSA_WIDTH;
+  using FloatProperties<long double>::FRACTION_MASK;
+  using FloatProperties<long double>::FRACTION_BITS;
   using FloatProperties<long double>::QUIET_NAN_MASK;
   using FloatProperties<long double>::SIGN_MASK;
 
   static constexpr int MAX_EXPONENT = 0x7FFF;
   static constexpr UIntType MIN_SUBNORMAL = UIntType(1);
   // Subnormal numbers include the implicit bit in x86 long double formats.
-  static constexpr UIntType MAX_SUBNORMAL = (UIntType(1) << MANTISSA_WIDTH) - 1;
-  static constexpr UIntType MIN_NORMAL = (UIntType(3) << MANTISSA_WIDTH);
+  static constexpr UIntType MAX_SUBNORMAL = (UIntType(1) << FRACTION_BITS) - 1;
+  static constexpr UIntType MIN_NORMAL = (UIntType(3) << FRACTION_BITS);
   static constexpr UIntType MAX_NORMAL =
-      (UIntType(MAX_EXPONENT - 1) << (MANTISSA_WIDTH + 1)) |
-      (UIntType(1) << MANTISSA_WIDTH) | MAX_SUBNORMAL;
+      (UIntType(MAX_EXPONENT - 1) << (FRACTION_BITS + 1)) |
+      (UIntType(1) << FRACTION_BITS) | MAX_SUBNORMAL;
 
   UIntType bits;
 
   LIBC_INLINE constexpr void set_mantissa(UIntType mantVal) {
-    mantVal &= MANTISSA_MASK;
-    bits &= ~MANTISSA_MASK;
+    mantVal &= FRACTION_MASK;
+    bits &= ~FRACTION_MASK;
     bits |= mantVal;
   }
 
   LIBC_INLINE constexpr UIntType get_mantissa() const {
-    return bits & MANTISSA_MASK;
+    return bits & FRACTION_MASK;
   }
 
   LIBC_INLINE constexpr UIntType get_explicit_mantissa() const {
     // The x86 80 bit float represents the leading digit of the mantissa
     // explicitly. This is the mask for that bit.
-    constexpr UIntType EXPLICIT_BIT_MASK = UIntType(1) << MANTISSA_WIDTH;
-    return bits & (MANTISSA_MASK | EXPLICIT_BIT_MASK);
+    constexpr UIntType EXPLICIT_BIT_MASK = UIntType(1) << FRACTION_BITS;
+    return bits & (FRACTION_MASK | EXPLICIT_BIT_MASK);
   }
 
   LIBC_INLINE constexpr void set_biased_exponent(UIntType expVal) {
@@ -77,12 +77,12 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
   }
 
   LIBC_INLINE constexpr void set_implicit_bit(bool implicitVal) {
-    bits &= ~(UIntType(1) << MANTISSA_WIDTH);
-    bits |= (UIntType(implicitVal) << MANTISSA_WIDTH);
+    bits &= ~(UIntType(1) << FRACTION_BITS);
+    bits |= (UIntType(implicitVal) << FRACTION_BITS);
   }
 
   LIBC_INLINE constexpr bool get_implicit_bit() const {
-    return bool((bits & (UIntType(1) << MANTISSA_WIDTH)) >> MANTISSA_WIDTH);
+    return bool((bits & (UIntType(1) << FRACTION_BITS)) >> FRACTION_BITS);
   }
 
   LIBC_INLINE constexpr void set_sign(bool signVal) {
diff --git a/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h b/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h
index 653b6a48f3cc53..55788e5ae29440 100644
--- a/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h
+++ b/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h
@@ -45,8 +45,7 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
 
   using UIntType = FPBits::UIntType;
   constexpr UIntType SIGN_VAL = (UIntType(1) << 79);
-  constexpr UIntType MANTISSA_MASK =
-      (UIntType(1) << FPBits::MANTISSA_WIDTH) - 1;
+  constexpr UIntType FRACTION_MASK = FPBits::FRACTION_MASK;
   UIntType int_val = from_bits.uintval();
   if (from < 0.0l) {
     if (from > to) {
@@ -54,7 +53,7 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
         // We deal with normal/subnormal boundary separately to avoid
         // dealing with the implicit bit.
         int_val = SIGN_VAL + FPBits::MIN_NORMAL;
-      } else if ((int_val & MANTISSA_MASK) == MANTISSA_MASK) {
+      } else if ((int_val & FRACTION_MASK) == FRACTION_MASK) {
         from_bits.set_mantissa(0);
         // Incrementing exponent might overflow the value to infinity,
         // which is what is expected. Since NaNs are handling separately,
@@ -71,8 +70,8 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
         // We deal with normal/subnormal boundary separately to avoid
         // dealing with the implicit bit.
         int_val = SIGN_VAL + FPBits::MAX_SUBNORMAL;
-      } else if ((int_val & MANTISSA_MASK) == 0) {
-        from_bits.set_mantissa(MANTISSA_MASK);
+      } else if ((int_val & FRACTION_MASK) == 0) {
+        from_bits.set_mantissa(FRACTION_MASK);
         // from == 0 is handled separately so decrementing the exponent will not
         // lead to underflow.
         from_bits.set_biased_exponent(from_bits.get_biased_exponent() - 1);
@@ -90,8 +89,8 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
     if (from > to) {
       if (int_val == FPBits::MIN_NORMAL) {
         int_val = FPBits::MAX_SUBNORMAL;
-      } else if ((int_val & MANTISSA_MASK) == 0) {
-        from_bits.set_mantissa(MANTISSA_MASK);
+      } else if ((int_val & FRACTION_MASK) == 0) {
+        from_bits.set_mantissa(FRACTION_MASK);
         // from == 0 is handled separately so decrementing the exponent will not
         // lead to underflow.
         from_bits.set_biased_exponent(from_bits.get_biased_exponent() - 1);
@@ -102,7 +101,7 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
     } else {
       if (int_val == FPBits::MAX_SUBNORMAL) {
         int_val = FPBits::MIN_NORMAL;
-      } else if ((int_val & MANTISSA_MASK) == MANTISSA_MASK) {
+      } else if ((int_val & FRACTION_MASK) == FRACTION_MASK) {
         from_bits.set_mantissa(0);
         // Incrementing exponent might overflow the value to infinity,
         // which is what is expected. Since NaNs are handling separately,
@@ -117,7 +116,7 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
     }
   }
 
-  UIntType implicit_bit = int_val & (UIntType(1) << FPBits::MANTISSA_WIDTH);
+  UIntType implicit_bit = int_val & (UIntType(1) << FPBits::FRACTION_BITS);
   if (implicit_bit == UIntType(0))
     raise_except_if_required(FE_UNDERFLOW | FE_INEXACT);
 
diff --git a/libc/src/__support/float_to_string.h b/libc/src/__support/float_to_string.h
index d53bb4b4c62b15..36a9b8565650b9 100644
--- a/libc/src/__support/float_to_string.h
+++ b/libc/src/__support/float_to_string.h
@@ -416,7 +416,7 @@ class FloatToString {
   int exponent;
   FloatProp::UIntType mantissa;
 
-  static constexpr int MANT_WIDTH = fputil::FPBits<T>::MANTISSA_WIDTH;
+  static constexpr int FRACTION_BITS = fputil::FPBits<T>::FRACTION_BITS;
   static constexpr int EXP_BIAS = fputil::FPBits<T>::EXPONENT_BIAS;
 
 public:
@@ -426,7 +426,7 @@ class FloatToString {
     mantissa = float_bits.get_explicit_mantissa();
 
     // Adjust for the width of the mantissa.
-    exponent -= MANT_WIDTH;
+    exponent -= FRACTION_BITS;
 
     // init_convert();
   }
@@ -440,7 +440,7 @@ class FloatToString {
   // get_block returns an integer that represents the digits in the requested
   // block.
   LIBC_INLINE constexpr BlockInt get_positive_block(int block_index) {
-    if (exponent >= -MANT_WIDTH) {
+    if (exponent >= -FRACTION_BITS) {
       // idx is ceil(exponent/16) or 0 if exponent is negative. This is used to
       // find the coarse section of the POW10_SPLIT table that will be used to
       // calculate the 9 digit window, as well as some other related values.
@@ -567,12 +567,13 @@ class FloatToString {
   }
 
   LIBC_INLINE constexpr size_t get_positive_blocks() {
-    if (exponent >= -MANT_WIDTH) {
+    if (exponent >= -FRACTION_BITS) {
       const uint32_t idx =
           exponent < 0
               ? 0
               : static_cast<uint32_t>(exponent + (IDX_SIZE - 1)) / IDX_SIZE;
-      const uint32_t len = internal::length_for_num(idx * IDX_SIZE, MANT_WIDTH);
+      const uint32_t len =
+          internal::length_for_num(idx * IDX_SIZE, FRACTION_BITS);
       return len;
     } else {
       return 0;
@@ -608,12 +609,13 @@ class FloatToString {
 
 template <>
 LIBC_INLINE constexpr size_t FloatToString<long double>::get_positive_blocks() {
-  if (exponent >= -MANT_WIDTH) {
+  if (exponent >= -FRACTION_BITS) {
     const uint32_t idx =
         exponent < 0
             ? 0
             : static_cast<uint32_t>(exponent + (IDX_SIZE - 1)) / IDX_SIZE;
-    const uint32_t len = internal::length_for_num(idx * IDX_SIZE, MANT_WIDTH);
+    const uint32_t len =
+        internal::length_for_num(idx * IDX_SIZE, FRACTION_BITS);
     return len;
   } else {
     return 0;
@@ -639,7 +641,7 @@ LIBC_INLINE constexpr bool FloatToString<long double>::is_lowest_block(size_t) {
 template <>
 LIBC_INLINE constexpr BlockInt
 FloatToString<long double>::get_positive_block(int block_index) {
-  if (exponent >= -MANT_WIDTH) {
+  if (exponent >= -FRACTION_BITS) {
 
     // idx is ceil(exponent/16) or 0 if exponent is negative. This is used to
     // find the coarse section of the POW10_SPLIT table that will be used to
diff --git a/libc/src/__support/str_to_float.h b/libc/src/__support/str_to_float.h
index 3807d3ff572162..41b658015c07f0 100644
--- a/libc/src/__support/str_to_float.h
+++ b/libc/src/__support/str_to_float.h
@@ -111,7 +111,7 @@ eisel_lemire(ExpandedFloat<T> init_num,
   // it's 6 bits for floats in this case.
   const uint64_t halfway_constant =
       (uint64_t(1) << (FloatProp::UINTTYPE_BITS -
-                       (FloatProp::MANTISSA_WIDTH + 3))) -
+                       (FloatProp::FRACTION_BITS + 3))) -
       1;
   if ((high64(first_approx) & halfway_constant) == halfway_constant &&
       low64(first_approx) + mantissa < mantissa) {
@@ -135,7 +135,7 @@ eisel_lemire(ExpandedFloat<T> init_num,
                                        (FloatProp::UINTTYPE_BITS - 1));
   UIntType final_mantissa = static_cast<UIntType>(
       high64(final_approx) >>
-      (msb + FloatProp::UINTTYPE_BITS - (FloatProp::MANTISSA_WIDTH + 3)));
+      (msb + FloatProp::UINTTYPE_BITS - (FloatProp::FRACTION_BITS + 3)));
   exp2 -= static_cast<uint32_t>(1 ^ msb); // same as !msb
 
   if (round == RoundDirection::Nearest) {
@@ -161,7 +161,7 @@ eisel_lemire(ExpandedFloat<T> init_num,
 
   // From 54 to 53 bits for doubles and 25 to 24 bits for floats
   final_mantissa >>= 1;
-  if ((final_mantissa >> (FloatProp::MANTISSA_WIDTH + 1)) > 0) {
+  if ((final_mantissa >> (FloatProp::FRACTION_BITS + 1)) > 0) {
     final_mantissa >>= 1;
     ++exp2;
   }
@@ -248,7 +248,7 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
   // it's 12 bits for 128 bit floats in this case.
   constexpr UInt128 HALFWAY_CONSTANT =
       (UInt128(1) << (FloatProp::UINTTYPE_BITS -
-                      (FloatProp::MANTISSA_WIDTH + 3))) -
+                      (FloatProp::FRACTION_BITS + 3))) -
       1;
 
   if ((final_approx_upper & HALFWAY_CONSTANT) == HALFWAY_CONSTANT &&
@@ -261,7 +261,7 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
                                        (FloatProp::UINTTYPE_BITS - 1));
   UIntType final_mantissa =
       final_approx_upper >>
-      (msb + FloatProp::UINTTYPE_BITS - (FloatProp::MANTISSA_WIDTH + 3));
+      (msb + FloatProp::UINTTYPE_BITS - (FloatProp::FRACTION_BITS + 3));
   exp2 -= static_cast<uint32_t>(1 ^ msb); // same as !msb
 
   if (round == RoundDirection::Nearest) {
@@ -286,7 +286,7 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
   // From 65 to 64 bits for 80 bit floats and 113  to 112 bits for 128 bit
   // floats
   final_mantissa >>= 1;
-  if ((final_mantissa >> (FloatProp::MANTISSA_WIDTH + 1)) > 0) {
+  if ((final_mantissa >> (FloatProp::FRACTION_BITS + 1)) > 0) {
     final_mantissa >>= 1;
     ++exp2;
   }
@@ -347,7 +347,7 @@ simple_decimal_conversion(const char *__restrict numStart,
   if (hpd.get_decimal_point() < 0 &&
       exp10_to_exp2(-hpd.get_decimal_point()) >
           (FloatProp::EXPONENT_BIAS +
-           static_cast<int32_t>(FloatProp::MANTISSA_WIDTH))) {
+           static_cast<int32_t>(FloatProp::FRACTION_BITS))) {
     output.num = {0, 0};
     output.error = ERANGE;
     return output;
@@ -396,7 +396,7 @@ simple_decimal_conversion(const char *__restrict numStart,
   }
 
   // Shift left to fill the mantissa
-  hpd.shift(FloatProp::MANTISSA_WIDTH);
+  hpd.shift(FloatProp::FRACTION_BITS);
   UIntType final_mantissa = hpd.round_to_integer_type<UIntType>();
 
   // Handle subnormals
@@ -412,13 +412,13 @@ simple_decimal_conversion(const char *__restrict numStart,
     final_mantissa = hpd.round_to_integer_type<UIntType>(round);
 
     // Check if by shifting right we've caused this to round to a normal number.
-    if ((final_mantissa >> FloatProp::MANTISSA_WIDTH) != 0) {
+    if ((final_mantissa >> FloatProp::FRACTION_BITS) != 0) {
       ++exp2;
     }
   }
 
   // Check if rounding added a bit, and shift down if that's the case.
-  if (final_mantissa == UIntType(2) << FloatProp::MANTISSA_WIDTH) {
+  if (final_mantissa == UIntType(2) << FloatProp::FRACTION_BITS) {
     final_mantissa >>= 1;
     ++exp2;
 
@@ -522,7 +522,7 @@ clinger_fast_path(ExpandedFloat<T> init_num,
   UIntType mantissa = init_num.mantissa;
   int32_t exp10 = init_num.exponent;
 
-  if ((mantissa >> FloatProp::MANTISSA_WIDTH) > 0) {
+  if ((mantissa >> FloatProp::FRACTION_BITS) > 0) {
     return cpp::nullopt;
   }
 
@@ -624,7 +624,7 @@ template <> constexpr int32_t get_upper_bound<double>() { return 309; }
 template <typename T> constexpr int32_t get_lower_bound() {
   using FloatProp = typename fputil::FloatProperties<T>;
   return -((FloatProp::EXPONENT_BIAS +
-            static_cast<int32_t>(FloatProp::MANTISSA_WIDTH +
+            static_cast<int32_t>(FloatProp::FRACTION_BITS +
                                  FloatProp::UINTTYPE_BITS)) /
            3);
 }
@@ -756,7 +756,7 @@ LIBC_INLINE FloatConvertReturn<T> binary_exp_to_float(ExpandedFloat<T> init_num,
   }
 
   uint32_t amount_to_shift_right =
-      FloatProp::UINTTYPE_BITS - FloatProp::MANTISSA_WIDTH - 1;
+      FloatProp::UINTTYPE_BITS - FloatProp::FRACTION_BITS - 1;
 
   // Handle subnormals.
   if (biased_exponent <= 0) {
@@ -779,7 +779,7 @@ LIBC_INLINE FloatConvertReturn<T> binary_exp_to_float(ExpandedFloat<T> init_num,
   if (amount_to_shift_right < FloatProp::UINTTYPE_BITS) {
     // Shift the mantissa and clear the implicit bit.
     mantissa >>= amount_to_shift_right;
-    mantissa &= FloatProp::MANTISSA_MASK;
+    mantissa &= FloatProp::FRACTION_MASK;
   } else {
     mantissa = 0;
   }
@@ -802,7 +802,7 @@ LIBC_INLINE FloatConvertReturn<T> binary_exp_to_float(ExpandedFloat<T> init_num,
     }
   }
 
-  if (mantissa > FloatProp::MANTISSA_MASK) {
+  if (mantissa > FloatProp::FRACTION_MASK) {
     // Rounding causes the exponent to increase.
     ++biased_exponent;
 
@@ -815,7 +815,7 @@ LIBC_INLINE FloatConvertReturn<T> binary_exp_to_float(ExpandedFloat<T> init_num,
     output.error = ERANGE;
   }
 
-  output.num = {mantissa & FloatProp::MANTISSA_MASK, biased_exponent};
+  output.num = {mantissa & FloatProp::FRACTION_MASK, biased_exponent};
   return output;
 }
 
diff --git a/libc/src/math/generic/asinf.cpp b/libc/src/math/generic/asinf.cpp
index 5406e6660d7841..51eefe984b6779 100644
--- a/libc/src/math/generic/asinf.cpp
+++ b/libc/src/math/generic/asinf.cpp
@@ -108,7 +108,7 @@ LLVM_LIBC_FUNCTION(float, asinf, (float x)) {
       fputil::set_errno_if_required(EDOM);
       fputil::raise_except_if_required(FE_INVALID);
     }
-    return x + FPBits::build_nan(1 << (FPBits::MANTISSA_WIDTH - 1));
+    return x + FPBits::build_nan(FPBits::FRACTION_MASK);
   }
 
   // Check for exceptional values
diff --git a/libc/src/math/generic/erff.cpp b/libc/src/math/generic/erff.cpp
index d63fb8e31384d2..bbf0d0423b799f 100644
--- a/libc/src/math/generic/erff.cpp
+++ b/libc/src/math/generic/erff.cpp
@@ -154,7 +154,7 @@ LLVM_LIBC_FUNCTION(float, erff, (float x)) {
   double xd = static_cast<double>(x);
   double xsq = xd * xd;
 
-  const uint32_t EIGHT = 3 << FPBits::MANTISSA_WIDTH;
+  const uint32_t EIGHT = 3 << FPBits::FRACTION_BITS;
   int idx = static_cast<int>(FPBits(x_abs + EIGHT).get_val());
 
   double x4 = xsq * xsq;
diff --git a/libc/src/math/generic/exp.cpp b/libc/src/math/generic/exp.cpp
index b3f645fb0939b2..5f0b724abe9ba1 100644
--- a/libc/src/math/generic/exp.cpp
+++ b/libc/src/math/generic/exp.cpp
@@ -382,7 +382,7 @@ LLVM_LIBC_FUNCTION(double, exp, (double x)) {
     if (LIBC_LIKELY(upper == lower)) {
       // to multiply by 2^hi, a fast way is to simply add hi to the exponent
       // field.
-      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
       double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
       return r;
     }
@@ -400,7 +400,7 @@ LLVM_LIBC_FUNCTION(double, exp, (double x)) {
     double lower_dd = r_dd.hi + (r_dd.lo - ERR_DD);
 
     if (LIBC_LIKELY(upper_dd == lower_dd)) {
-      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
       double r =
           cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
       return r;
diff --git a/libc/src/math/generic/exp10.cpp b/libc/src/math/generic/exp10.cpp
index b152425b14b597..5b2c55c73a068f 100644
--- a/libc/src/math/generic/exp10.cpp
+++ b/libc/src/math/generic/exp10.cpp
@@ -395,7 +395,7 @@ LLVM_LIBC_FUNCTION(double, exp10, (double x)) {
   if (LIBC_LIKELY(upper == lower)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
     return r;
   }
@@ -462,7 +462,7 @@ LLVM_LIBC_FUNCTION(double, exp10, (double x)) {
   if (LIBC_LIKELY(upper_dd == lower_dd)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
     return r;
   }
diff --git a/libc/src/math/generic/exp2.cpp b/libc/src/math/generic/exp2.cpp
index b4b9960ccb2fb6..6c707de076d0ad 100644
--- a/libc/src/math/generic/exp2.cpp
+++ b/libc/src/math/generic/exp2.cpp
@@ -362,7 +362,7 @@ LLVM_LIBC_FUNCTION(double, exp2, (double x)) {
   if (LIBC_LIKELY(upper == lower)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
     return r;
   }
@@ -376,7 +376,7 @@ LLVM_LIBC_FUNCTION(double, exp2, (double x)) {
   if (LIBC_LIKELY(upper_dd == lower_dd)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
     return r;
   }
diff --git a/libc/src/math/generic/exp2f_impl.h b/libc/src/math/generic/exp2f_impl.h
index 961fb16977eb83..9bb5c7362d3e8f 100644
--- a/libc/src/math/generic/exp2f_impl.h
+++ b/libc/src/math/generic/exp2f_impl.h
@@ -137,7 +137,7 @@ LIBC_INLINE float exp2f(float x) {
   // exp_hi = shift hi to the exponent field of double precision.
   int64_t exp_hi =
       static_cast<int64_t>(static_cast<uint64_t>(k >> ExpBase::MID_BITS)
-                           << fputil::FloatProperties<double>::MANTISSA_WIDTH);
+                           << fputil::FloatProperties<double>::FRACTION_BITS);
   // mh = 2^hi * 2^mid
   // mh_bits = bit field of mh
   int64_t mh_bits = ExpBase::EXP_2_MID[k & ExpBase::MID_MASK] + exp_hi;
diff --git a/libc/src/math/generic/explogxf.h b/libc/src/math/generic/explogxf.h
index 3dae5af068b4b0..92bd66af92c89c 100644
--- a/libc/src/math/generic/explogxf.h
+++ b/libc/src/math/generic/explogxf.h
@@ -162,7 +162,7 @@ template <class Base> LIBC_INLINE exp_b_reduc_t exp_b_range_reduc(float x) {
   // hi = floor(kd * 2^(-MID_BITS))
   // exp_hi = shift hi to the exponent field of double precision.
   int64_t exp_hi = static_cast<int64_t>((k >> Base::MID_BITS))
-                   << fputil::FloatProperties<double>::MANTISSA_WIDTH;
+                   << fputil::FloatProperties<double>::FRACTION_BITS;
   // mh = 2^hi * 2^mid
   // mh_bits = bit field of mh
   int64_t mh_bits = Base::EXP_2_MID[k & Base::MID_MASK] + exp_hi;
@@ -235,9 +235,9 @@ template <bool is_sinh> LIBC_INLINE double exp_pm_eval(float x) {
   // hi = floor(kf * 2^(-5))
   // exp_hi = shift hi to the exponent field of double precision.
   int64_t exp_hi_p = static_cast<int64_t>((k_p >> ExpBase::MID_BITS))
-                     << fputil::FloatProperties<double>::MANTISSA_WIDTH;
+                     << fputil::FloatProperties<double>::FRACTION_BITS;
   int64_t exp_hi_m = static_cast<int64_t>((k_m >> ExpBase::MID_BITS))
-                     << fputil::FloatProperties<double>::MANTISSA_WIDTH;
+                     << fputil::FloatProperties<double>::FRACTION_BITS;
   // mh_p = 2^(hi + mid)
   // mh_m = 2^(-(hi + mid))
   // mh_bits_* = bit field of mh_*
@@ -280,10 +280,10 @@ LIBC_INLINE static double log2_eval(double x) {
   double result = 0;
   result += bs.get_exponent();
 
-  int p1 = (bs.get_mantissa() >> (FPB::MANTISSA_WIDTH - LOG_P1_BITS)) &
+  int p1 = (bs.get_mantissa() >> (FPB::FRACTION_BITS - LOG_P1_BITS)) &
            (LOG_P1_SIZE - 1);
 
-  bs.bits &= FPB::MANTISSA_MASK >> LOG_P1_BITS;
+  bs.bits &= FPB::FRACTION_MASK >> LOG_P1_BITS;
   bs.set_biased_exponent(FPB::EXPONENT_BIAS);
   double dx = (bs.get_val() - 1.0) * LOG_P1_1_OVER[p1];
 
@@ -310,10 +310,10 @@ LIBC_INLINE static double log_eval(double x) {
 
   // p1 is the leading 7 bits of mx, i.e.
   // p1 * 2^(-7) <= m_x < (p1 + 1) * 2^(-7).
-  int p1 = static_cast<int>(bs.get_mantissa() >> (FPB::MANTISSA_WIDTH - 7));
+  int p1 = static_cast<int>(bs.get_mantissa() >> (FPB::FRACTION_BITS - 7));
 
   // Set bs to (1 + (mx - p1*2^(-7))
-  bs.bits &= FPB::MANTISSA_MASK >> 7;
+  bs.bits &= FPB::FRACTION_MASK >> 7;
   bs.set_biased_exponent(FPB::EXPONENT_BIAS);
   // dx = (mx - p1*2^(-7)) / (1 + p1*2^(-7)).
   double dx = (bs.get_val() - 1.0) * ONE_OVER_F[p1];
@@ -345,7 +345,7 @@ LIBC_INLINE cpp::optional<double> ziv_test_denorm(int hi, double mid, double lo,
   using FloatProp = typename fputil::FloatProperties<double>;
 
   // Scaling factor = 1/(min normal number) = 2^1022
-  int64_t exp_hi = static_cast<int64_t>(hi + 1022) << FloatProp::MANTISSA_WIDTH;
+  int64_t exp_hi = static_cast<int64_t>(hi + 1022) << FloatProp::FRACTION_BITS;
   double mid_hi = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(mid));
   double lo_scaled =
       (lo != 0.0) ? cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(lo))
diff --git a/libc/src/math/generic/expm1.cpp b/libc/src/math/generic/expm1.cpp
index e7513954815341..634caa56cb0ffd 100644
--- a/libc/src/math/generic/expm1.cpp
+++ b/libc/src/math/generic/expm1.cpp
@@ -465,7 +465,7 @@ LLVM_LIBC_FUNCTION(double, expm1, (double x)) {
   if (LIBC_LIKELY(upper == lower)) {
     // to multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
     return r;
   }
@@ -479,7 +479,7 @@ LLVM_LIBC_FUNCTION(double, expm1, (double x)) {
   double lower_dd = r_dd.hi + (r_dd.lo - err_dd);
 
   if (LIBC_LIKELY(upper_dd == lower_dd)) {
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::MANTISSA_WIDTH;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
     return r;
   }
diff --git a/libc/src/math/generic/hypotf.cpp b/libc/src/math/generic/hypotf.cpp
index 5795291a043ae6..ec7e95961790b1 100644
--- a/libc/src/math/generic/hypotf.cpp
+++ b/libc/src/math/generic/hypotf.cpp
@@ -23,7 +23,7 @@ LLVM_LIBC_FUNCTION(float, hypotf, (float x, float y)) {
   uint16_t y_exp = y_bits.get_biased_exponent();
   uint16_t exp_diff = (x_exp > y_exp) ? (x_exp - y_exp) : (y_exp - x_exp);
 
-  if (exp_diff >= FPBits::MANTISSA_WIDTH + 2) {
+  if (exp_diff >= FPBits::FRACTION_BITS + 2) {
     return fputil::abs(x) + fputil::abs(y);
   }
 
diff --git a/libc/src/math/generic/log1p.cpp b/libc/src/math/generic/log1p.cpp
index 757f2793cb9cf7..2fc5bc7c71e3a4 100644
--- a/libc/src/math/generic/log1p.cpp
+++ b/libc/src/math/generic/log1p.cpp
@@ -873,8 +873,8 @@ LIBC_INLINE double log1p_accurate(int e_x, int index,
 LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   using FPBits_t = typename fputil::FPBits<double>;
   constexpr int EXPONENT_BIAS = FPBits_t::EXPONENT_BIAS;
-  constexpr int MANTISSA_WIDTH = FPBits_t::MANTISSA_WIDTH;
-  constexpr uint64_t MANTISSA_MASK = FPBits_t::MANTISSA_MASK;
+  constexpr int FRACTION_BITS = FPBits_t::FRACTION_BITS;
+  constexpr uint64_t FRACTION_MASK = FPBits_t::FRACTION_MASK;
   FPBits_t xbits(x);
   uint64_t x_u = xbits.uintval();
 
@@ -910,7 +910,7 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   } else {
     // |x| < 1
     if (LIBC_UNLIKELY(xbits.get_biased_exponent() <
-                      EXPONENT_BIAS - MANTISSA_WIDTH - 1)) {
+                      EXPONENT_BIAS - FRACTION_BITS - 1)) {
       // Quick return when |x| < 2^-53.
       // Since log(1 + x) = x - x^2/2 + x^3/3 - ...,
       // for |x| < 2^-53,
@@ -950,8 +950,8 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   // Range reduction:
   // Find k such that |x_hi - k * 2^-7| <= 2^-8.
   int idx = static_cast<int>(
-      ((x_u & MANTISSA_MASK) + (1ULL << (MANTISSA_WIDTH - 8))) >>
-      (MANTISSA_WIDTH - 7));
+      ((x_u & FRACTION_MASK) + (1ULL << (FRACTION_BITS - 8))) >>
+      (FRACTION_BITS - 7));
   int x_e = xhi_bits.get_exponent() + (idx >> 7);
   double e_x = static_cast<double>(x_e);
 
@@ -967,9 +967,8 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   double err_hi = ERR_HI[hi == 0.0];
 
   // Scaling factior = 2^(-xh_bits.get_exponent())
-  uint64_t s_u =
-      (static_cast<uint64_t>(EXPONENT_BIAS) << (MANTISSA_WIDTH + 1)) -
-      (x_u & FPBits_t::EXPONENT_MASK);
+  uint64_t s_u = (static_cast<uint64_t>(EXPONENT_BIAS) << (FRACTION_BITS + 1)) -
+                 (x_u & FPBits_t::EXPONENT_MASK);
   // When the exponent of x is 2^1023, its inverse, 2^(-1023), is subnormal.
   const double EXPONENT_CORRECTION[2] = {0.0, 0x1.0p-1023};
   double scaling = FPBits_t(s_u).get_val() + EXPONENT_CORRECTION[s_u == 0];
@@ -999,7 +998,7 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   v_hi = fputil::multiply_add(r, m_dd.hi, -1.0); // Exact.
 #else
   // c = 1 + idx * 2^-7.
-  double c = FPBits_t((static_cast<uint64_t>(idx) << (MANTISSA_WIDTH - 7)) +
+  double c = FPBits_t((static_cast<uint64_t>(idx) << (FRACTION_BITS - 7)) +
                       uint64_t(0x3FF0'0000'0000'0000ULL))
                  .get_val();
   v_hi = fputil::multiply_add(r, m_dd.hi - c, RCM1[idx]); // Exact
diff --git a/libc/src/math/generic/log1pf.cpp b/libc/src/math/generic/log1pf.cpp
index fabd2bdc31bf3b..8078aaf490cc2f 100644
--- a/libc/src/math/generic/log1pf.cpp
+++ b/libc/src/math/generic/log1pf.cpp
@@ -57,7 +57,7 @@ LIBC_INLINE float log(double x) {
   // Get the 8 highest bits, use 7 bits (excluding the implicit hidden bit) for
   // lookup tables.
   int f_index = static_cast<int>(xbits.get_mantissa() >>
-                                 (fputil::FPBits<double>::MANTISSA_WIDTH - 7));
+                                 (fputil::FPBits<double>::FRACTION_BITS - 7));
 
   // Set bits to 1.m
   xbits.set_biased_exponent(0x3FF);
diff --git a/libc/src/math/generic/powf.cpp b/libc/src/math/generic/powf.cpp
index efc866618ef219..99d6bb25d1980f 100644
--- a/libc/src/math/generic/powf.cpp
+++ b/libc/src/math/generic/powf.cpp
@@ -390,11 +390,10 @@ LIBC_INLINE bool is_odd_integer(float x) {
   using FloatProp = typename fputil::FloatProperties<float>;
   uint32_t x_u = cpp::bit_cast<uint32_t>(x);
   int32_t x_e = static_cast<int32_t>((x_u & FloatProp::EXPONENT_MASK) >>
-                                     FloatProp::MANTISSA_WIDTH);
+                                     FloatProp::FRACTION_BITS);
   int32_t lsb = cpp::countr_zero(x_u | FloatProp::EXPONENT_MASK);
   constexpr int32_t UNIT_EXPONENT =
-      FloatProp::EXPONENT_BIAS +
-      static_cast<int32_t>(FloatProp::MANTISSA_WIDTH);
+      FloatProp::EXPONENT_BIAS + static_cast<int32_t>(FloatProp::FRACTION_BITS);
   return (x_e + lsb == UNIT_EXPONENT);
 }
 
@@ -402,11 +401,10 @@ LIBC_INLINE bool is_integer(float x) {
   using FloatProp = typename fputil::FloatProperties<float>;
   uint32_t x_u = cpp::bit_cast<uint32_t>(x);
   int32_t x_e = static_cast<int32_t>((x_u & FloatProp::EXPONENT_MASK) >>
-                                     FloatProp::MANTISSA_WIDTH);
+                                     FloatProp::FRACTION_BITS);
   int32_t lsb = cpp::countr_zero(x_u | FloatProp::EXPONENT_MASK);
   constexpr int32_t UNIT_EXPONENT =
-      FloatProp::EXPONENT_BIAS +
-      static_cast<int32_t>(FloatProp::MANTISSA_WIDTH);
+      FloatProp::EXPONENT_BIAS + static_cast<int32_t>(FloatProp::FRACTION_BITS);
   return (x_e + lsb >= UNIT_EXPONENT);
 }
 
@@ -502,7 +500,7 @@ double powf_double_double(int idx_x, double dx, double y6, double lo6_hi,
     bool lo_sign = DoubleBits(r.lo).get_sign();
     if (hi_sign == lo_sign) {
       ++r_bits;
-    } else if ((r_bits & DoubleProp::MANTISSA_MASK) > 0) {
+    } else if ((r_bits & DoubleProp::FRACTION_MASK) > 0) {
       --r_bits;
     }
   }
@@ -671,11 +669,11 @@ LLVM_LIBC_FUNCTION(float, powf, (float x, float y)) {
   x_u = FloatBits(x).uintval();
 
   // Extract exponent field of x.
-  ex += (x_u >> FloatProp::MANTISSA_WIDTH);
+  ex += (x_u >> FloatProp::FRACTION_BITS);
   double e_x = static_cast<double>(ex);
   // Use the highest 7 fractional bits of m_x as the index for look up tables.
-  uint32_t x_mant = x_u & FloatProp::MANTISSA_MASK;
-  int idx_x = static_cast<int>(x_mant >> (FloatProp::MANTISSA_WIDTH - 7));
+  uint32_t x_mant = x_u & FloatProp::FRACTION_MASK;
+  int idx_x = static_cast<int>(x_mant >> (FloatProp::FRACTION_BITS - 7));
   // Add the hidden bit to the mantissa.
   // 1 <= m_x < 2
   float m_x = cpp::bit_cast<float>(x_mant | 0x3f800000);
@@ -776,7 +774,7 @@ LLVM_LIBC_FUNCTION(float, powf, (float x, float y)) {
   int idx_y = hm_i & 0x3f;
 
   // 2^hi
-  int64_t exp_hi_i = (hm_i >> 6) << DoubleProp::MANTISSA_WIDTH;
+  int64_t exp_hi_i = (hm_i >> 6) << DoubleProp::FRACTION_BITS;
   // 2^mid
   int64_t exp_mid_i = cpp::bit_cast<uint64_t>(EXP2_MID1[idx_y].hi);
   // (-1)^sign * 2^hi * 2^mid
diff --git a/libc/src/math/generic/range_reduction.h b/libc/src/math/generic/range_reduction.h
index 551f2457ecb8e3..836161e803cbfd 100644
--- a/libc/src/math/generic/range_reduction.h
+++ b/libc/src/math/generic/range_reduction.h
@@ -59,7 +59,7 @@ LIBC_INLINE int64_t small_range_reduction(double x, double &y) {
 LIBC_INLINE int64_t large_range_reduction(double x, int x_exp, double &y) {
   int idx = 0;
   y = 0;
-  int x_lsb_exp_m4 = x_exp - fputil::FloatProperties<float>::MANTISSA_WIDTH;
+  int x_lsb_exp_m4 = x_exp - fputil::FloatProperties<float>::FRACTION_BITS;
 
   // Skipping the first parts of 32/pi such that:
   //   LSB of x * LSB of THIRTYTWO_OVER_PI_28[i] >= 32.
diff --git a/libc/src/math/generic/sincosf.cpp b/libc/src/math/generic/sincosf.cpp
index c5694fd1bea580..44371db710871a 100644
--- a/libc/src/math/generic/sincosf.cpp
+++ b/libc/src/math/generic/sincosf.cpp
@@ -148,7 +148,7 @@ LLVM_LIBC_FUNCTION(void, sincosf, (float x, float *sinp, float *cosp)) {
       fputil::set_errno_if_required(EDOM);
       fputil::raise_except_if_required(FE_INVALID);
     }
-    *sinp = x + FPBits::build_nan(1 << (FPBits::MANTISSA_WIDTH - 1));
+    *sinp = x + FPBits::build_nan(FPBits::FRACTION_MASK);
     *cosp = *sinp;
     return;
   }
diff --git a/libc/src/math/generic/tanhf.cpp b/libc/src/math/generic/tanhf.cpp
index a0046d3dabc62d..3b388232ae4eee 100644
--- a/libc/src/math/generic/tanhf.cpp
+++ b/libc/src/math/generic/tanhf.cpp
@@ -90,7 +90,7 @@ LLVM_LIBC_FUNCTION(float, tanhf, (float x)) {
   // -hi = floor(-k * 2^(-MID_BITS))
   // exp_mhi = shift -hi to the exponent field of double precision.
   int64_t exp_mhi = static_cast<int64_t>(mk >> ExpBase::MID_BITS)
-                    << fputil::FloatProperties<double>::MANTISSA_WIDTH;
+                    << fputil::FloatProperties<double>::FRACTION_BITS;
   // mh = 2^(-hi - mid)
   int64_t mh_bits = ExpBase::EXP_2_MID[mk & ExpBase::MID_MASK] + exp_mhi;
   double mh = fputil::FPBits<double>(uint64_t(mh_bits)).get_val();
diff --git a/libc/src/stdio/printf_core/float_dec_converter.h b/libc/src/stdio/printf_core/float_dec_converter.h
index 98b573646f7c31..fc6395feb97e24 100644
--- a/libc/src/stdio/printf_core/float_dec_converter.h
+++ b/libc/src/stdio/printf_core/float_dec_converter.h
@@ -477,8 +477,8 @@ template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE int convert_float_decimal_typed(Writer *writer,
                                             const FormatSection &to_conv,
                                             fputil::FPBits<T> float_bits) {
-  // signed because later we use -MANT_WIDTH
-  constexpr int32_t MANT_WIDTH = fputil::FloatProperties<T>::MANTISSA_WIDTH;
+  // signed because later we use -FRACTION_BITS
+  constexpr int32_t FRACTION_BITS = fputil::FloatProperties<T>::FRACTION_BITS;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
 
@@ -536,7 +536,7 @@ LIBC_INLINE int convert_float_decimal_typed(Writer *writer,
     float_writer.write_first_block(0);
   }
 
-  if (exponent < MANT_WIDTH) {
+  if (exponent < FRACTION_BITS) {
     const uint32_t blocks = (precision / static_cast<uint32_t>(BLOCK_SIZE)) + 1;
     uint32_t i = 0;
     // if all the blocks we should write are zero
@@ -569,9 +569,9 @@ LIBC_INLINE int convert_float_decimal_typed(Writer *writer,
           digits /= 10;
         }
         RoundDirection round;
-        const bool truncated =
-            !zero_after_digits(exponent - MANT_WIDTH, precision,
-                               float_bits.get_explicit_mantissa(), MANT_WIDTH);
+        const bool truncated = !zero_after_digits(
+            exponent - FRACTION_BITS, precision,
+            float_bits.get_explicit_mantissa(), FRACTION_BITS);
         round = get_round_direction(last_digit, truncated, is_negative);
 
         RET_IF_RESULT_NEGATIVE(
@@ -590,8 +590,8 @@ template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE int convert_float_dec_exp_typed(Writer *writer,
                                             const FormatSection &to_conv,
                                             fputil::FPBits<T> float_bits) {
-  // signed because later we use -MANT_WIDTH
-  constexpr int32_t MANT_WIDTH = fputil::FloatProperties<T>::MANTISSA_WIDTH;
+  // signed because later we use -FRACTION_BITS
+  constexpr int32_t FRACTION_BITS = fputil::FloatProperties<T>::FRACTION_BITS;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
   MantissaInt mantissa = float_bits.get_explicit_mantissa();
@@ -733,11 +733,11 @@ LIBC_INLINE int convert_float_dec_exp_typed(Writer *writer,
       }
     }
     // If it's still not truncated and there are digits below the decimal point
-    if (!truncated && exponent - MANT_WIDTH < 0) {
+    if (!truncated && exponent - FRACTION_BITS < 0) {
       // Use the formula from %f.
-      truncated =
-          !zero_after_digits(exponent - MANT_WIDTH, precision - final_exponent,
-                             float_bits.get_explicit_mantissa(), MANT_WIDTH);
+      truncated = !zero_after_digits(
+          exponent - FRACTION_BITS, precision - final_exponent,
+          float_bits.get_explicit_mantissa(), FRACTION_BITS);
     }
   }
   round = get_round_direction(last_digit, truncated, is_negative);
@@ -753,8 +753,8 @@ template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE int convert_float_dec_auto_typed(Writer *writer,
                                              const FormatSection &to_conv,
                                              fputil::FPBits<T> float_bits) {
-  // signed because later we use -MANT_WIDTH
-  constexpr int32_t MANT_WIDTH = fputil::FloatProperties<T>::MANTISSA_WIDTH;
+  // signed because later we use -FRACTION_BITS
+  constexpr int32_t FRACTION_BITS = fputil::FloatProperties<T>::FRACTION_BITS;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
   MantissaInt mantissa = float_bits.get_explicit_mantissa();
@@ -980,11 +980,11 @@ LIBC_INLINE int convert_float_dec_auto_typed(Writer *writer,
       }
     }
     // If it's still not truncated and there are digits below the decimal point
-    if (!truncated && exponent - MANT_WIDTH < 0) {
+    if (!truncated && exponent - FRACTION_BITS < 0) {
       // Use the formula from %f.
-      truncated =
-          !zero_after_digits(exponent - MANT_WIDTH, exp_precision - base_10_exp,
-                             float_bits.get_explicit_mantissa(), MANT_WIDTH);
+      truncated = !zero_after_digits(
+          exponent - FRACTION_BITS, exp_precision - base_10_exp,
+          float_bits.get_explicit_mantissa(), FRACTION_BITS);
     }
   }
 
diff --git a/libc/src/stdio/printf_core/float_hex_converter.h b/libc/src/stdio/printf_core/float_hex_converter.h
index cb10e219388be8..aae6ee417f72eb 100644
--- a/libc/src/stdio/printf_core/float_hex_converter.h
+++ b/libc/src/stdio/printf_core/float_hex_converter.h
@@ -38,9 +38,9 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
   int exponent;
   MantissaInt mantissa;
   bool is_inf_or_nan;
-  uint32_t mantissa_width;
+  uint32_t fraction_bits;
   if (to_conv.length_modifier == LengthModifier::L) {
-    mantissa_width = LDBits::MANTISSA_WIDTH;
+    fraction_bits = LDBits::FRACTION_BITS;
     LDBits::UIntType float_raw = to_conv.conv_val_raw;
     LDBits float_bits(float_raw);
     is_negative = float_bits.get_sign();
@@ -49,7 +49,7 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
     is_inf_or_nan = float_bits.is_inf_or_nan();
   } else {
     using LBits = fputil::FPBits<double>;
-    mantissa_width = LBits::MANTISSA_WIDTH;
+    fraction_bits = LBits::FRACTION_BITS;
     LBits::UIntType float_raw =
         static_cast<LBits::UIntType>(to_conv.conv_val_raw);
     LBits float_bits(float_raw);
@@ -78,8 +78,8 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
   // digits. This is primarily relevant for x86 80 bit long doubles, which have
   // 63 bit mantissas. In the case where the mantissa is 0, however, the
   // exponent should stay as 0.
-  if (mantissa_width % BITS_IN_HEX_DIGIT != 0 && mantissa > 0) {
-    exponent -= mantissa_width % BITS_IN_HEX_DIGIT;
+  if (fraction_bits % BITS_IN_HEX_DIGIT != 0 && mantissa > 0) {
+    exponent -= fraction_bits % BITS_IN_HEX_DIGIT;
   }
 
   // This is the max number of digits it can take to represent the mantissa.
@@ -87,10 +87,10 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
   // for the extra implicit bit. We use the larger of the two possible values
   // since the size must be constant.
   constexpr size_t MANT_BUFF_LEN =
-      (LDBits::MANTISSA_WIDTH / BITS_IN_HEX_DIGIT) + 1;
+      (LDBits::FRACTION_BITS / BITS_IN_HEX_DIGIT) + 1;
   char mant_buffer[MANT_BUFF_LEN];
 
-  size_t mant_len = (mantissa_width / BITS_IN_HEX_DIGIT) + 1;
+  size_t mant_len = (fraction_bits / BITS_IN_HEX_DIGIT) + 1;
 
   // Precision only tracks the number of digits after the hexadecimal point, so
   // we have to add one to account for the digit before the hexadecimal point.
diff --git a/libc/test/src/math/FrexpTest.h b/libc/test/src/math/FrexpTest.h
index 2f93987b1ea75f..ffe743b32aab41 100644
--- a/libc/test/src/math/FrexpTest.h
+++ b/libc/test/src/math/FrexpTest.h
@@ -20,7 +20,7 @@ template <typename T> class FrexpTest : public LIBC_NAMESPACE::testing::Test {
   DECLARE_SPECIAL_CONSTANTS(T)
 
   static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::MANTISSA_WIDTH;
+      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
 
 public:
   typedef T (*FrexpFunc)(T, int *);
diff --git a/libc/test/src/math/LdExpTest.h b/libc/test/src/math/LdExpTest.h
index 5ebba62a3dbb8a..5b1e242d81440e 100644
--- a/libc/test/src/math/LdExpTest.h
+++ b/libc/test/src/math/LdExpTest.h
@@ -23,7 +23,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using NormalFloat = LIBC_NAMESPACE::fputil::NormalFloat<T>;
   using UIntType = typename FPBits::UIntType;
-  static constexpr UIntType MANTISSA_WIDTH = FPBits::MANTISSA_WIDTH;
+  static constexpr UIntType FRACTION_BITS = FPBits::FRACTION_BITS;
   // A normalized mantissa to be used with tests.
   static constexpr UIntType MANTISSA = NormalFloat::ONE + 0x1234;
 
@@ -69,7 +69,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnNormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(MANTISSA_WIDTH);
+    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -82,7 +82,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnSubnormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(MANTISSA_WIDTH);
+    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -100,7 +100,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
         // Subnormal numbers
         NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 0),
         NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 1)};
-    for (int32_t exp = 0; exp <= static_cast<int32_t>(MANTISSA_WIDTH); ++exp) {
+    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_BITS); ++exp) {
       for (T x : val_array) {
         // We compare the result of ldexp with the result
         // of the native multiplication/division instruction.
@@ -134,7 +134,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_EQ(result_bits.get_biased_exponent(), uint16_t(0));
     // But if the exp is so less that normalization leads to zero, then
     // the result should be zero.
-    result = func(x, -FPBits::MAX_EXPONENT - int(MANTISSA_WIDTH) - 5);
+    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_BITS) - 5);
     ASSERT_TRUE(FPBits(result).is_zero());
 
     // Start with a subnormal number but pass a very high number for exponent.
diff --git a/libc/test/src/math/LogbTest.h b/libc/test/src/math/LogbTest.h
index 3912385623ef19..d09b6e06ddf8de 100644
--- a/libc/test/src/math/LogbTest.h
+++ b/libc/test/src/math/LogbTest.h
@@ -20,7 +20,7 @@ template <typename T> class LogbTest : public LIBC_NAMESPACE::testing::Test {
   DECLARE_SPECIAL_CONSTANTS(T)
 
   static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::MANTISSA_WIDTH;
+      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
 
 public:
   typedef T (*LogbFunc)(T);
diff --git a/libc/test/src/math/NextAfterTest.h b/libc/test/src/math/NextAfterTest.h
index ca34753871b960..5aa14ceaa5d7b8 100644
--- a/libc/test/src/math/NextAfterTest.h
+++ b/libc/test/src/math/NextAfterTest.h
@@ -163,8 +163,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     FPBits result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(),
               uint16_t(x_bits.get_biased_exponent() - 1));
-    ASSERT_EQ(result_bits.get_mantissa(),
-              (UIntType(1) << FPBits::MANTISSA_WIDTH) - 1);
+    ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
 
     result = func(x, T(33.0));
     result_bits = FPBits(result);
@@ -177,8 +176,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(),
               uint16_t(x_bits.get_biased_exponent() - 1));
-    ASSERT_EQ(result_bits.get_mantissa(),
-              (UIntType(1) << FPBits::MANTISSA_WIDTH) - 1);
+    ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
 
     result = func(x, T(-33.0));
     result_bits = FPBits(result);
diff --git a/libc/test/src/math/RoundToIntegerTest.h b/libc/test/src/math/RoundToIntegerTest.h
index feee040c72f88d..6f0b4cd476df0f 100644
--- a/libc/test/src/math/RoundToIntegerTest.h
+++ b/libc/test/src/math/RoundToIntegerTest.h
@@ -192,7 +192,7 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
     FPBits bits(F(1.0));
     bits.set_biased_exponent(EXPONENT_LIMIT + FPBits::EXPONENT_BIAS);
     bits.set_sign(1);
-    bits.set_mantissa(UIntType(0x1) << (FPBits::MANTISSA_WIDTH - 1));
+    bits.set_mantissa(FPBits::FRACTION_MASK);
 
     F x = F(bits);
     if (TestModes) {
diff --git a/libc/test/src/math/SqrtTest.h b/libc/test/src/math/SqrtTest.h
index ab14e30d3ded6f..9a8fb4d1b1c948 100644
--- a/libc/test/src/math/SqrtTest.h
+++ b/libc/test/src/math/SqrtTest.h
@@ -20,7 +20,7 @@ template <typename T> class SqrtTest : public LIBC_NAMESPACE::testing::Test {
   DECLARE_SPECIAL_CONSTANTS(T)
 
   static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::MANTISSA_WIDTH;
+      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
 
 public:
   typedef T (*SqrtFunc)(T);
diff --git a/libc/test/src/math/smoke/FrexpTest.h b/libc/test/src/math/smoke/FrexpTest.h
index 643a151d89c7da..058fe754bff218 100644
--- a/libc/test/src/math/smoke/FrexpTest.h
+++ b/libc/test/src/math/smoke/FrexpTest.h
@@ -17,7 +17,7 @@ template <typename T> class FrexpTest : public LIBC_NAMESPACE::testing::Test {
   DECLARE_SPECIAL_CONSTANTS(T)
 
   static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::MANTISSA_WIDTH;
+      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
 
 public:
   typedef T (*FrexpFunc)(T, int *);
diff --git a/libc/test/src/math/smoke/LdExpTest.h b/libc/test/src/math/smoke/LdExpTest.h
index 5ebba62a3dbb8a..5b1e242d81440e 100644
--- a/libc/test/src/math/smoke/LdExpTest.h
+++ b/libc/test/src/math/smoke/LdExpTest.h
@@ -23,7 +23,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using NormalFloat = LIBC_NAMESPACE::fputil::NormalFloat<T>;
   using UIntType = typename FPBits::UIntType;
-  static constexpr UIntType MANTISSA_WIDTH = FPBits::MANTISSA_WIDTH;
+  static constexpr UIntType FRACTION_BITS = FPBits::FRACTION_BITS;
   // A normalized mantissa to be used with tests.
   static constexpr UIntType MANTISSA = NormalFloat::ONE + 0x1234;
 
@@ -69,7 +69,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnNormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(MANTISSA_WIDTH);
+    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -82,7 +82,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnSubnormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(MANTISSA_WIDTH);
+    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -100,7 +100,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
         // Subnormal numbers
         NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 0),
         NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 1)};
-    for (int32_t exp = 0; exp <= static_cast<int32_t>(MANTISSA_WIDTH); ++exp) {
+    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_BITS); ++exp) {
       for (T x : val_array) {
         // We compare the result of ldexp with the result
         // of the native multiplication/division instruction.
@@ -134,7 +134,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_EQ(result_bits.get_biased_exponent(), uint16_t(0));
     // But if the exp is so less that normalization leads to zero, then
     // the result should be zero.
-    result = func(x, -FPBits::MAX_EXPONENT - int(MANTISSA_WIDTH) - 5);
+    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_BITS) - 5);
     ASSERT_TRUE(FPBits(result).is_zero());
 
     // Start with a subnormal number but pass a very high number for exponent.
diff --git a/libc/test/src/math/smoke/LogbTest.h b/libc/test/src/math/smoke/LogbTest.h
index 41b356fe0524e6..2a5a93b44c93ee 100644
--- a/libc/test/src/math/smoke/LogbTest.h
+++ b/libc/test/src/math/smoke/LogbTest.h
@@ -17,7 +17,7 @@ template <typename T> class LogbTest : public LIBC_NAMESPACE::testing::Test {
   DECLARE_SPECIAL_CONSTANTS(T)
 
   static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::MANTISSA_WIDTH;
+      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
 
 public:
   typedef T (*LogbFunc)(T);
diff --git a/libc/test/src/math/smoke/NextAfterTest.h b/libc/test/src/math/smoke/NextAfterTest.h
index 90155a8b293f84..e8a7281fc67548 100644
--- a/libc/test/src/math/smoke/NextAfterTest.h
+++ b/libc/test/src/math/smoke/NextAfterTest.h
@@ -174,8 +174,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     FPBits result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(),
               uint16_t(x_bits.get_biased_exponent() - 1));
-    ASSERT_EQ(result_bits.get_mantissa(),
-              (UIntType(1) << FPBits::MANTISSA_WIDTH) - 1);
+    ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
 
     result = func(x, T(33.0));
     result_bits = FPBits(result);
@@ -188,8 +187,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(),
               uint16_t(x_bits.get_biased_exponent() - 1));
-    ASSERT_EQ(result_bits.get_mantissa(),
-              (UIntType(1) << FPBits::MANTISSA_WIDTH) - 1);
+    ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
 
     result = func(x, T(-33.0));
     result_bits = FPBits(result);
diff --git a/libc/test/src/math/smoke/NextTowardTest.h b/libc/test/src/math/smoke/NextTowardTest.h
index bd719275a41552..8a6bd1c40b570c 100644
--- a/libc/test/src/math/smoke/NextTowardTest.h
+++ b/libc/test/src/math/smoke/NextTowardTest.h
@@ -188,8 +188,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     FPBits result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(),
               uint16_t(x_bits.get_biased_exponent() - 1));
-    ASSERT_EQ(result_bits.get_mantissa(),
-              (UIntType(1) << FPBits::MANTISSA_WIDTH) - 1);
+    ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
 
     result = func(x, 33.0);
     result_bits = FPBits(result);
@@ -202,8 +201,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(),
               uint16_t(x_bits.get_biased_exponent() - 1));
-    ASSERT_EQ(result_bits.get_mantissa(),
-              (UIntType(1) << FPBits::MANTISSA_WIDTH) - 1);
+    ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
 
     result = func(x, -33.0);
     result_bits = FPBits(result);
diff --git a/libc/test/src/math/smoke/SqrtTest.h b/libc/test/src/math/smoke/SqrtTest.h
index dffff520cd69e8..8628658b9b1d49 100644
--- a/libc/test/src/math/smoke/SqrtTest.h
+++ b/libc/test/src/math/smoke/SqrtTest.h
@@ -17,7 +17,7 @@ template <typename T> class SqrtTest : public LIBC_NAMESPACE::testing::Test {
   DECLARE_SPECIAL_CONSTANTS(T)
 
   static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::MANTISSA_WIDTH;
+      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
 
 public:
   typedef T (*SqrtFunc)(T);
diff --git a/libc/utils/MPFRWrapper/MPFRUtils.cpp b/libc/utils/MPFRWrapper/MPFRUtils.cpp
index 68146dff64c4e3..c568d7ec54a0e7 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.cpp
+++ b/libc/utils/MPFRWrapper/MPFRUtils.cpp
@@ -468,7 +468,7 @@ class MPFRNumber {
       mpfr_sub(inputMPFR.value, value, inputMPFR.value, MPFR_RNDN);
       mpfr_abs(inputMPFR.value, inputMPFR.value, MPFR_RNDN);
       mpfr_mul_2si(inputMPFR.value, inputMPFR.value,
-                   -thisExponent + int(fputil::FPBits<T>::MANTISSA_WIDTH),
+                   -thisExponent + int(fputil::FPBits<T>::FRACTION_BITS),
                    MPFR_RNDN);
       return inputMPFR;
     }
@@ -496,12 +496,12 @@ class MPFRNumber {
 
     mpfr_sub(minMPFR.value, pivot.value, minMPFR.value, MPFR_RNDN);
     mpfr_mul_2si(minMPFR.value, minMPFR.value,
-                 -minExponent + int(fputil::FPBits<T>::MANTISSA_WIDTH),
+                 -minExponent + int(fputil::FPBits<T>::FRACTION_BITS),
                  MPFR_RNDN);
 
     mpfr_sub(maxMPFR.value, maxMPFR.value, pivot.value, MPFR_RNDN);
     mpfr_mul_2si(maxMPFR.value, maxMPFR.value,
-                 -maxExponent + int(fputil::FPBits<T>::MANTISSA_WIDTH),
+                 -maxExponent + int(fputil::FPBits<T>::FRACTION_BITS),
                  MPFR_RNDN);
 
     mpfr_add(minMPFR.value, minMPFR.value, maxMPFR.value, MPFR_RNDN);

>From 74b6deb9d1ed8976904323c815c799b6a1b4d401 Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 08:42:53 +0000
Subject: [PATCH 02/10] Use the `_LEN` suffix instead of `_BITS`

---
 libc/fuzzing/stdio/printf_float_conv_fuzz.cpp |   2 +-
 libc/fuzzing/stdlib/strtofloat_fuzz.cpp       |   2 +-
 .../FPUtil/DivisionAndRemainderOperations.h   |   6 +-
 libc/src/__support/FPUtil/FPBits.h            |  79 ++++-----
 libc/src/__support/FPUtil/FloatProperties.h   | 128 +++++++--------
 libc/src/__support/FPUtil/Hypot.h             |  30 ++--
 .../__support/FPUtil/ManipulationFunctions.h  |  12 +-
 .../FPUtil/NearestIntegerOperations.h         |  30 ++--
 libc/src/__support/FPUtil/NormalFloat.h       |  57 +++----
 libc/src/__support/FPUtil/dyadic_float.h      |  28 ++--
 .../src/__support/FPUtil/except_value_utils.h |  22 +--
 libc/src/__support/FPUtil/fpbits_str.h        |   6 +-
 libc/src/__support/FPUtil/generic/FMA.h       |   6 +-
 libc/src/__support/FPUtil/generic/FMod.h      |  46 +++---
 libc/src/__support/FPUtil/generic/sqrt.h      |  24 +--
 .../FPUtil/generic/sqrt_80_bit_long_double.h  |  22 +--
 .../__support/FPUtil/x86_64/LongDoubleBits.h  |  73 +++++----
 .../FPUtil/x86_64/NextAfterLongDouble.h       |  12 +-
 libc/src/__support/float_to_string.h          |  25 ++-
 libc/src/__support/str_to_float.h             | 154 +++++++++---------
 libc/src/math/generic/erff.cpp                |   2 +-
 libc/src/math/generic/exp.cpp                 |   4 +-
 libc/src/math/generic/exp10.cpp               |   4 +-
 libc/src/math/generic/exp2.cpp                |   4 +-
 libc/src/math/generic/exp2f_impl.h            |   2 +-
 libc/src/math/generic/explogxf.h              |  16 +-
 libc/src/math/generic/expm1.cpp               |   6 +-
 libc/src/math/generic/hypotf.cpp              |   2 +-
 libc/src/math/generic/inv_trigf_utils.h       |   9 +-
 libc/src/math/generic/log.cpp                 |   2 +-
 libc/src/math/generic/log10.cpp               |   2 +-
 libc/src/math/generic/log10f.cpp              |   2 +-
 libc/src/math/generic/log1p.cpp               |  20 +--
 libc/src/math/generic/log1pf.cpp              |   2 +-
 libc/src/math/generic/log2.cpp                |   2 +-
 libc/src/math/generic/log2f.cpp               |   2 +-
 libc/src/math/generic/logf.cpp                |   2 +-
 libc/src/math/generic/powf.cpp                |  24 +--
 libc/src/math/generic/range_reduction.h       |   2 +-
 libc/src/math/generic/tanhf.cpp               |   2 +-
 libc/src/stdio/printf_core/core_structs.h     |   2 +-
 .../stdio/printf_core/float_dec_converter.h   |  52 +++---
 .../stdio/printf_core/float_hex_converter.h   |  16 +-
 .../printf_core/float_inf_nan_converter.h     |   8 +-
 libc/src/stdio/printf_core/parser.h           |   4 +-
 libc/test/UnitTest/FPMatcher.h                |   4 +-
 libc/test/UnitTest/PrintfMatcher.cpp          |   2 +-
 libc/test/src/__support/str_to_fp_test.h      |  21 +--
 libc/test/src/math/CeilTest.h                 |   6 +-
 libc/test/src/math/CopySignTest.h             |   6 +-
 libc/test/src/math/FAbsTest.h                 |   6 +-
 libc/test/src/math/FDimTest.h                 |   8 +-
 libc/test/src/math/FMaxTest.h                 |   6 +-
 libc/test/src/math/FMinTest.h                 |   6 +-
 libc/test/src/math/FloorTest.h                |   6 +-
 libc/test/src/math/FmaTest.h                  |  31 ++--
 libc/test/src/math/FrexpTest.h                |  13 +-
 libc/test/src/math/HypotTest.h                |  19 ++-
 libc/test/src/math/ILogbTest.h                |  24 +--
 libc/test/src/math/LdExpTest.h                |  28 ++--
 libc/test/src/math/LogbTest.h                 |  13 +-
 libc/test/src/math/ModfTest.h                 |   6 +-
 libc/test/src/math/NextAfterTest.h            |  37 +++--
 libc/test/src/math/RIntTest.h                 |  22 +--
 libc/test/src/math/RemQuoTest.h               |  21 +--
 libc/test/src/math/RoundTest.h                |   6 +-
 libc/test/src/math/RoundToIntegerTest.h       |  26 +--
 libc/test/src/math/SqrtTest.h                 |  19 ++-
 libc/test/src/math/TruncTest.h                |   6 +-
 libc/test/src/math/cos_test.cpp               |   6 +-
 .../BinaryOpSingleOutputDiff.h                |  28 ++--
 .../SingleInputSingleOutputDiff.h             |  26 +--
 .../src/math/exhaustive/exhaustive_test.h     |  23 +--
 libc/test/src/math/exhaustive/hypotf_test.cpp |   2 +-
 .../test/src/math/exhaustive/sincosf_test.cpp |   7 +-
 libc/test/src/math/sin_test.cpp               |   6 +-
 libc/test/src/math/smoke/CopySignTest.h       |   6 +-
 libc/test/src/math/smoke/FDimTest.h           |   8 +-
 libc/test/src/math/smoke/FMaxTest.h           |   6 +-
 libc/test/src/math/smoke/FMinTest.h           |   6 +-
 libc/test/src/math/smoke/FmaTest.h            |   6 +-
 libc/test/src/math/smoke/FrexpTest.h          |   5 +-
 libc/test/src/math/smoke/HypotTest.h          |   2 +-
 libc/test/src/math/smoke/ILogbTest.h          |  24 +--
 libc/test/src/math/smoke/LdExpTest.h          |  28 ++--
 libc/test/src/math/smoke/LogbTest.h           |  13 +-
 libc/test/src/math/smoke/ModfTest.h           |   6 +-
 libc/test/src/math/smoke/NextAfterTest.h      |  37 +++--
 libc/test/src/math/smoke/NextTowardTest.h     |  40 +++--
 libc/test/src/math/smoke/RIntTest.h           |   2 +-
 libc/test/src/math/smoke/RemQuoTest.h         |   2 +-
 libc/test/src/math/smoke/RoundToIntegerTest.h |  12 +-
 libc/test/src/math/smoke/SqrtTest.h           |   5 +-
 libc/test/src/math/tan_test.cpp               |   6 +-
 libc/utils/MPFRWrapper/MPFRUtils.cpp          |   6 +-
 95 files changed, 828 insertions(+), 789 deletions(-)

diff --git a/libc/fuzzing/stdio/printf_float_conv_fuzz.cpp b/libc/fuzzing/stdio/printf_float_conv_fuzz.cpp
index 798e1a3866fddf..eefe78c2920d3f 100644
--- a/libc/fuzzing/stdio/printf_float_conv_fuzz.cpp
+++ b/libc/fuzzing/stdio/printf_float_conv_fuzz.cpp
@@ -90,7 +90,7 @@ extern "C" int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) {
   int prec = 0;
   int width = 0;
 
-  LIBC_NAMESPACE::fputil::FPBits<double>::UIntType raw_num = 0;
+  LIBC_NAMESPACE::fputil::FPBits<double>::StorageType raw_num = 0;
 
   // Copy as many bytes of data as will fit into num, prec, and with. Any extras
   // are ignored.
diff --git a/libc/fuzzing/stdlib/strtofloat_fuzz.cpp b/libc/fuzzing/stdlib/strtofloat_fuzz.cpp
index f6cc8abedf4645..ea2f492f57ae76 100644
--- a/libc/fuzzing/stdlib/strtofloat_fuzz.cpp
+++ b/libc/fuzzing/stdlib/strtofloat_fuzz.cpp
@@ -33,7 +33,7 @@ template <typename F> inline constexpr int effective_precision(int exponent) {
   // This is intended to be 0 when the exponent is the lowest normal and
   // increase as the exponent's magnitude increases.
   const int bits_below_normal =
-      (-exponent) - (FloatProperties<F>::EXPONENT_BIAS - 1);
+      (-exponent) - (FloatProperties<F>::EXP_BIAS - 1);
 
   // The precision should be the normal, full precision, minus the bits lost
   // by this being a subnormal, minus one for the implicit leading one.
diff --git a/libc/src/__support/FPUtil/DivisionAndRemainderOperations.h b/libc/src/__support/FPUtil/DivisionAndRemainderOperations.h
index 60252fe9cb877a..65bbe6b099dd00 100644
--- a/libc/src/__support/FPUtil/DivisionAndRemainderOperations.h
+++ b/libc/src/__support/FPUtil/DivisionAndRemainderOperations.h
@@ -53,13 +53,13 @@ LIBC_INLINE T remquo(T x, T y, int &q) {
 
   NormalFloat<T> normalx(xbits), normaly(ybits);
   int exp = normalx.exponent - normaly.exponent;
-  typename NormalFloat<T>::UIntType mx = normalx.mantissa,
-                                    my = normaly.mantissa;
+  typename NormalFloat<T>::StorageType mx = normalx.mantissa,
+                                       my = normaly.mantissa;
 
   q = 0;
   while (exp >= 0) {
     unsigned shift_count = 0;
-    typename NormalFloat<T>::UIntType n = mx;
+    typename NormalFloat<T>::StorageType n = mx;
     for (shift_count = 0; n < my; n <<= 1, ++shift_count)
       ;
 
diff --git a/libc/src/__support/FPUtil/FPBits.h b/libc/src/__support/FPUtil/FPBits.h
index bbc006dc10eaa0..7f5dd0fca58d4f 100644
--- a/libc/src/__support/FPUtil/FPBits.h
+++ b/libc/src/__support/FPUtil/FPBits.h
@@ -31,45 +31,45 @@ namespace fputil {
 template <typename T> struct FPBits : private FloatProperties<T> {
   static_assert(cpp::is_floating_point_v<T>,
                 "FPBits instantiated with invalid type.");
-  using typename FloatProperties<T>::UIntType;
-  using FloatProperties<T>::BIT_WIDTH;
+  using typename FloatProperties<T>::StorageType;
+  using FloatProperties<T>::TOTAL_LEN;
   using FloatProperties<T>::EXP_MANT_MASK;
-  using FloatProperties<T>::EXPONENT_MASK;
-  using FloatProperties<T>::EXPONENT_BIAS;
-  using FloatProperties<T>::EXPONENT_WIDTH;
+  using FloatProperties<T>::EXP_MASK;
+  using FloatProperties<T>::EXP_BIAS;
+  using FloatProperties<T>::EXP_LEN;
   using FloatProperties<T>::FRACTION_MASK;
-  using FloatProperties<T>::FRACTION_BITS;
+  using FloatProperties<T>::FRACTION_LEN;
   using FloatProperties<T>::QUIET_NAN_MASK;
   using FloatProperties<T>::SIGN_MASK;
 
   // Reinterpreting bits as an integer value and interpreting the bits of an
   // integer value as a floating point value is used in tests. So, a convenient
   // type is provided for such reinterpretations.
-  UIntType bits;
+  StorageType bits;
 
-  LIBC_INLINE constexpr void set_mantissa(UIntType mantVal) {
+  LIBC_INLINE constexpr void set_mantissa(StorageType mantVal) {
     mantVal &= FRACTION_MASK;
     bits &= ~FRACTION_MASK;
     bits |= mantVal;
   }
 
-  LIBC_INLINE constexpr UIntType get_mantissa() const {
+  LIBC_INLINE constexpr StorageType get_mantissa() const {
     return bits & FRACTION_MASK;
   }
 
-  LIBC_INLINE constexpr void set_biased_exponent(UIntType expVal) {
-    expVal = (expVal << FRACTION_BITS) & EXPONENT_MASK;
-    bits &= ~EXPONENT_MASK;
+  LIBC_INLINE constexpr void set_biased_exponent(StorageType expVal) {
+    expVal = (expVal << FRACTION_LEN) & EXP_MASK;
+    bits &= ~EXP_MASK;
     bits |= expVal;
   }
 
   LIBC_INLINE constexpr uint16_t get_biased_exponent() const {
-    return uint16_t((bits & EXPONENT_MASK) >> FRACTION_BITS);
+    return uint16_t((bits & EXP_MASK) >> FRACTION_LEN);
   }
 
   // The function return mantissa with the implicit bit set iff the current
   // value is a valid normal number.
-  LIBC_INLINE constexpr UIntType get_explicit_mantissa() {
+  LIBC_INLINE constexpr StorageType get_explicit_mantissa() {
     return ((get_biased_exponent() > 0 && !is_inf_or_nan())
                 ? (FRACTION_MASK + 1)
                 : 0) |
@@ -86,25 +86,25 @@ template <typename T> struct FPBits : private FloatProperties<T> {
     return (bits & SIGN_MASK) != 0;
   }
 
-  static_assert(sizeof(T) == sizeof(UIntType),
+  static_assert(sizeof(T) == sizeof(StorageType),
                 "Data type and integral representation have different sizes.");
 
-  static constexpr int MAX_EXPONENT = (1 << EXPONENT_WIDTH) - 1;
+  static constexpr int MAX_EXPONENT = (1 << EXP_LEN) - 1;
 
-  static constexpr UIntType MIN_SUBNORMAL = UIntType(1);
-  static constexpr UIntType MAX_SUBNORMAL = FRACTION_MASK;
-  static constexpr UIntType MIN_NORMAL = (UIntType(1) << FRACTION_BITS);
-  static constexpr UIntType MAX_NORMAL =
-      ((UIntType(MAX_EXPONENT) - 1) << FRACTION_BITS) | MAX_SUBNORMAL;
+  static constexpr StorageType MIN_SUBNORMAL = StorageType(1);
+  static constexpr StorageType MAX_SUBNORMAL = FRACTION_MASK;
+  static constexpr StorageType MIN_NORMAL = (StorageType(1) << FRACTION_LEN);
+  static constexpr StorageType MAX_NORMAL =
+      ((StorageType(MAX_EXPONENT) - 1) << FRACTION_LEN) | MAX_SUBNORMAL;
 
   // We don't want accidental type promotions/conversions, so we require exact
   // type match.
   template <typename XType, cpp::enable_if_t<cpp::is_same_v<T, XType>, int> = 0>
   LIBC_INLINE constexpr explicit FPBits(XType x)
-      : bits(cpp::bit_cast<UIntType>(x)) {}
+      : bits(cpp::bit_cast<StorageType>(x)) {}
 
   template <typename XType,
-            cpp::enable_if_t<cpp::is_same_v<XType, UIntType>, int> = 0>
+            cpp::enable_if_t<cpp::is_same_v<XType, StorageType>, int> = 0>
   LIBC_INLINE constexpr explicit FPBits(XType x) : bits(x) {}
 
   LIBC_INLINE constexpr FPBits() : bits(0) {}
@@ -112,15 +112,15 @@ template <typename T> struct FPBits : private FloatProperties<T> {
   LIBC_INLINE constexpr T get_val() const { return cpp::bit_cast<T>(bits); }
 
   LIBC_INLINE constexpr void set_val(T value) {
-    bits = cpp::bit_cast<UIntType>(value);
+    bits = cpp::bit_cast<StorageType>(value);
   }
 
   LIBC_INLINE constexpr explicit operator T() const { return get_val(); }
 
-  LIBC_INLINE constexpr UIntType uintval() const { return bits; }
+  LIBC_INLINE constexpr StorageType uintval() const { return bits; }
 
   LIBC_INLINE constexpr int get_exponent() const {
-    return int(get_biased_exponent()) - EXPONENT_BIAS;
+    return int(get_biased_exponent()) - EXP_BIAS;
   }
 
   // If the number is subnormal, the exponent is treated as if it were the
@@ -134,9 +134,9 @@ template <typename T> struct FPBits : private FloatProperties<T> {
     if (is_zero()) {
       return 0;
     } else if (biased_exp == 0) {
-      return 1 - EXPONENT_BIAS;
+      return 1 - EXP_BIAS;
     } else {
-      return biased_exp - EXPONENT_BIAS;
+      return biased_exp - EXP_BIAS;
     }
   }
 
@@ -146,29 +146,29 @@ template <typename T> struct FPBits : private FloatProperties<T> {
   }
 
   LIBC_INLINE constexpr bool is_inf() const {
-    return (bits & EXP_MANT_MASK) == EXPONENT_MASK;
+    return (bits & EXP_MANT_MASK) == EXP_MASK;
   }
 
   LIBC_INLINE constexpr bool is_nan() const {
-    return (bits & EXP_MANT_MASK) > EXPONENT_MASK;
+    return (bits & EXP_MANT_MASK) > EXP_MASK;
   }
 
   LIBC_INLINE constexpr bool is_quiet_nan() const {
-    return (bits & EXP_MANT_MASK) == (EXPONENT_MASK | QUIET_NAN_MASK);
+    return (bits & EXP_MANT_MASK) == (EXP_MASK | QUIET_NAN_MASK);
   }
 
   LIBC_INLINE constexpr bool is_inf_or_nan() const {
-    return (bits & EXPONENT_MASK) == EXPONENT_MASK;
+    return (bits & EXP_MASK) == EXP_MASK;
   }
 
   LIBC_INLINE static constexpr T zero(bool sign = false) {
-    return FPBits(sign ? SIGN_MASK : UIntType(0)).get_val();
+    return FPBits(sign ? SIGN_MASK : StorageType(0)).get_val();
   }
 
   LIBC_INLINE static constexpr T neg_zero() { return zero(true); }
 
   LIBC_INLINE static constexpr T inf(bool sign = false) {
-    return FPBits((sign ? SIGN_MASK : UIntType(0)) | EXPONENT_MASK).get_val();
+    return FPBits((sign ? SIGN_MASK : StorageType(0)) | EXP_MASK).get_val();
   }
 
   LIBC_INLINE static constexpr T neg_inf() { return inf(true); }
@@ -189,13 +189,13 @@ template <typename T> struct FPBits : private FloatProperties<T> {
     return FPBits(MAX_SUBNORMAL).get_val();
   }
 
-  LIBC_INLINE static constexpr T build_nan(UIntType v) {
+  LIBC_INLINE static constexpr T build_nan(StorageType v) {
     FPBits<T> bits(inf());
     bits.set_mantissa(v);
     return T(bits);
   }
 
-  LIBC_INLINE static constexpr T build_quiet_nan(UIntType v) {
+  LIBC_INLINE static constexpr T build_quiet_nan(StorageType v) {
     return build_nan(QUIET_NAN_MASK | v);
   }
 
@@ -209,10 +209,11 @@ template <typename T> struct FPBits : private FloatProperties<T> {
   //   3) The function did not check exponent high limit.
   //   4) "number" zero value is not processed correctly.
   //   5) Number is unsigned, so the result can be only positive.
-  LIBC_INLINE static constexpr FPBits<T> make_value(UIntType number, int ep) {
+  LIBC_INLINE static constexpr FPBits<T> make_value(StorageType number,
+                                                    int ep) {
     FPBits<T> result;
     // offset: +1 for sign, but -1 for implicit first bit
-    int lz = cpp::countl_zero(number) - EXPONENT_WIDTH;
+    int lz = cpp::countl_zero(number) - EXP_LEN;
     number <<= lz;
     ep -= lz;
 
@@ -227,7 +228,7 @@ template <typename T> struct FPBits : private FloatProperties<T> {
   }
 
   LIBC_INLINE static constexpr FPBits<T>
-  create_value(bool sign, UIntType biased_exp, UIntType mantissa) {
+  create_value(bool sign, StorageType biased_exp, StorageType mantissa) {
     FPBits<T> result;
     result.set_sign(sign);
     result.set_biased_exponent(biased_exp);
diff --git a/libc/src/__support/FPUtil/FloatProperties.h b/libc/src/__support/FPUtil/FloatProperties.h
index 9e301fc1cbbeb3..896c29919e2f77 100644
--- a/libc/src/__support/FPUtil/FloatProperties.h
+++ b/libc/src/__support/FPUtil/FloatProperties.h
@@ -41,42 +41,42 @@ enum class FPEncoding {
 template <FPType> struct FPBaseProperties {};
 
 template <> struct FPBaseProperties<FPType::IEEE754_Binary16> {
-  using UIntType = uint16_t;
-  LIBC_INLINE_VAR static constexpr int TOTAL_BITS = 16;
-  LIBC_INLINE_VAR static constexpr int SIG_BITS = 10;
-  LIBC_INLINE_VAR static constexpr int EXP_BITS = 5;
+  using StorageType = uint16_t;
+  LIBC_INLINE_VAR static constexpr int TOTAL_LEN = 16;
+  LIBC_INLINE_VAR static constexpr int SIG_LEN = 10;
+  LIBC_INLINE_VAR static constexpr int EXP_LEN = 5;
   LIBC_INLINE_VAR static constexpr auto ENCODING = FPEncoding::IEEE754;
 };
 
 template <> struct FPBaseProperties<FPType::IEEE754_Binary32> {
-  using UIntType = uint32_t;
-  LIBC_INLINE_VAR static constexpr int TOTAL_BITS = 32;
-  LIBC_INLINE_VAR static constexpr int SIG_BITS = 23;
-  LIBC_INLINE_VAR static constexpr int EXP_BITS = 8;
+  using StorageType = uint32_t;
+  LIBC_INLINE_VAR static constexpr int TOTAL_LEN = 32;
+  LIBC_INLINE_VAR static constexpr int SIG_LEN = 23;
+  LIBC_INLINE_VAR static constexpr int EXP_LEN = 8;
   LIBC_INLINE_VAR static constexpr auto ENCODING = FPEncoding::IEEE754;
 };
 
 template <> struct FPBaseProperties<FPType::IEEE754_Binary64> {
-  using UIntType = uint64_t;
-  LIBC_INLINE_VAR static constexpr int TOTAL_BITS = 64;
-  LIBC_INLINE_VAR static constexpr int SIG_BITS = 52;
-  LIBC_INLINE_VAR static constexpr int EXP_BITS = 11;
+  using StorageType = uint64_t;
+  LIBC_INLINE_VAR static constexpr int TOTAL_LEN = 64;
+  LIBC_INLINE_VAR static constexpr int SIG_LEN = 52;
+  LIBC_INLINE_VAR static constexpr int EXP_LEN = 11;
   LIBC_INLINE_VAR static constexpr auto ENCODING = FPEncoding::IEEE754;
 };
 
 template <> struct FPBaseProperties<FPType::IEEE754_Binary128> {
-  using UIntType = UInt128;
-  LIBC_INLINE_VAR static constexpr int TOTAL_BITS = 128;
-  LIBC_INLINE_VAR static constexpr int SIG_BITS = 112;
-  LIBC_INLINE_VAR static constexpr int EXP_BITS = 15;
+  using StorageType = UInt128;
+  LIBC_INLINE_VAR static constexpr int TOTAL_LEN = 128;
+  LIBC_INLINE_VAR static constexpr int SIG_LEN = 112;
+  LIBC_INLINE_VAR static constexpr int EXP_LEN = 15;
   LIBC_INLINE_VAR static constexpr auto ENCODING = FPEncoding::IEEE754;
 };
 
 template <> struct FPBaseProperties<FPType::X86_Binary80> {
-  using UIntType = UInt128;
-  LIBC_INLINE_VAR static constexpr int TOTAL_BITS = 80;
-  LIBC_INLINE_VAR static constexpr int SIG_BITS = 64;
-  LIBC_INLINE_VAR static constexpr int EXP_BITS = 15;
+  using StorageType = UInt128;
+  LIBC_INLINE_VAR static constexpr int TOTAL_LEN = 80;
+  LIBC_INLINE_VAR static constexpr int SIG_LEN = 64;
+  LIBC_INLINE_VAR static constexpr int EXP_LEN = 15;
   LIBC_INLINE_VAR static constexpr auto ENCODING =
       FPEncoding::X86_ExtendedPrecision;
 };
@@ -87,90 +87,88 @@ template <FPType fp_type>
 struct FPProperties : public internal::FPBaseProperties<fp_type> {
 private:
   using UP = internal::FPBaseProperties<fp_type>;
-  // The number of bits to represent sign. For documentation purpose, always 1.
-  LIBC_INLINE_VAR static constexpr int SIGN_BITS = 1;
-  using UP::EXP_BITS;   // The number of bits for the *exponent* part
-  using UP::SIG_BITS;   // The number of bits for the *significand* part
-  using UP::TOTAL_BITS; // For convenience, the sum of `SIG_BITS`, `EXP_BITS`,
-                        // and `SIGN_BITS`.
-  static_assert(SIGN_BITS + EXP_BITS + SIG_BITS == TOTAL_BITS);
 
 public:
+  // The number of bits to represent sign. For documentation purpose, always 1.
+  LIBC_INLINE_VAR static constexpr int SIGN_LEN = 1;
+  using UP::EXP_LEN;   // The number of bits for the *exponent* part
+  using UP::SIG_LEN;   // The number of bits for the *significand* part
+  using UP::TOTAL_LEN; // For convenience, the sum of `SIG_LEN`, `EXP_LEN`,
+                       // and `SIGN_LEN`.
+  static_assert(SIGN_LEN + EXP_LEN + SIG_LEN == TOTAL_LEN);
+
   // An unsigned integer that is wide enough to contain all of the floating
   // point bits.
-  using UIntType = typename UP::UIntType;
+  using StorageType = typename UP::StorageType;
 
-  // The number of bits in UIntType.
-  LIBC_INLINE_VAR static constexpr int UINTTYPE_BITS =
-      sizeof(UIntType) * CHAR_BIT;
-  static_assert(UINTTYPE_BITS >= TOTAL_BITS);
+  // The number of bits in StorageType.
+  LIBC_INLINE_VAR static constexpr int STORAGE_LEN =
+      sizeof(StorageType) * CHAR_BIT;
+  static_assert(STORAGE_LEN >= TOTAL_LEN);
 
-private:
   // The exponent bias. Always positive.
   LIBC_INLINE_VAR static constexpr int32_t EXP_BIAS =
-      (1U << (EXP_BITS - 1U)) - 1U;
+      (1U << (EXP_LEN - 1U)) - 1U;
   static_assert(EXP_BIAS > 0);
 
+private:
   // The shift amount to get the *significand* part to the least significant
   // bit. Always `0` but kept for consistency.
   LIBC_INLINE_VAR static constexpr int SIG_MASK_SHIFT = 0;
   // The shift amount to get the *exponent* part to the least significant bit.
-  LIBC_INLINE_VAR static constexpr int EXP_MASK_SHIFT = SIG_BITS;
+  LIBC_INLINE_VAR static constexpr int EXP_MASK_SHIFT = SIG_LEN;
   // The shift amount to get the *sign* part to the least significant bit.
-  LIBC_INLINE_VAR static constexpr int SIGN_MASK_SHIFT = SIG_BITS + EXP_BITS;
+  LIBC_INLINE_VAR static constexpr int SIGN_MASK_SHIFT = SIG_LEN + EXP_LEN;
 
   // The bit pattern that keeps only the *significand* part.
-  LIBC_INLINE_VAR static constexpr UIntType SIG_MASK =
-      mask_trailing_ones<UIntType, SIG_BITS>() << SIG_MASK_SHIFT;
-  // The bit pattern that keeps only the *exponent* part.
-  LIBC_INLINE_VAR static constexpr UIntType EXP_MASK =
-      mask_trailing_ones<UIntType, EXP_BITS>() << EXP_MASK_SHIFT;
+  LIBC_INLINE_VAR static constexpr StorageType SIG_MASK =
+      mask_trailing_ones<StorageType, SIG_LEN>() << SIG_MASK_SHIFT;
 
 public:
+  // The bit pattern that keeps only the *exponent* part.
+  LIBC_INLINE_VAR static constexpr StorageType EXP_MASK =
+      mask_trailing_ones<StorageType, EXP_LEN>() << EXP_MASK_SHIFT;
   // The bit pattern that keeps only the *sign* part.
-  LIBC_INLINE_VAR static constexpr UIntType SIGN_MASK =
-      mask_trailing_ones<UIntType, SIGN_BITS>() << SIGN_MASK_SHIFT;
+  LIBC_INLINE_VAR static constexpr StorageType SIGN_MASK =
+      mask_trailing_ones<StorageType, SIGN_LEN>() << SIGN_MASK_SHIFT;
   // The bit pattern that keeps only the *sign + exponent + significand* part.
-  LIBC_INLINE_VAR static constexpr UIntType FP_MASK =
-      mask_trailing_ones<UIntType, TOTAL_BITS>();
+  LIBC_INLINE_VAR static constexpr StorageType FP_MASK =
+      mask_trailing_ones<StorageType, TOTAL_LEN>();
 
   static_assert((SIG_MASK & EXP_MASK & SIGN_MASK) == 0, "masks disjoint");
   static_assert((SIG_MASK | EXP_MASK | SIGN_MASK) == FP_MASK, "masks cover");
 
 private:
-  LIBC_INLINE static constexpr UIntType bit_at(int position) {
-    return UIntType(1) << position;
+  LIBC_INLINE static constexpr StorageType bit_at(int position) {
+    return StorageType(1) << position;
   }
 
-  LIBC_INLINE_VAR static constexpr UIntType QNAN_MASK =
+  LIBC_INLINE_VAR static constexpr StorageType QNAN_MASK =
       UP::ENCODING == internal::FPEncoding::X86_ExtendedPrecision
-          ? bit_at(SIG_BITS - 1) | bit_at(SIG_BITS - 2) // 0b1100...
-          : bit_at(SIG_BITS - 1);                       // 0b1000...
+          ? bit_at(SIG_LEN - 1) | bit_at(SIG_LEN - 2) // 0b1100...
+          : bit_at(SIG_LEN - 1);                      // 0b1000...
 
-  LIBC_INLINE_VAR static constexpr UIntType SNAN_MASK =
+  LIBC_INLINE_VAR static constexpr StorageType SNAN_MASK =
       UP::ENCODING == internal::FPEncoding::X86_ExtendedPrecision
-          ? bit_at(SIG_BITS - 1) | bit_at(SIG_BITS - 3) // 0b1010...
-          : bit_at(SIG_BITS - 2);                       // 0b0100...
+          ? bit_at(SIG_LEN - 1) | bit_at(SIG_LEN - 3) // 0b1010...
+          : bit_at(SIG_LEN - 2);                      // 0b0100...
 
 public:
-  LIBC_INLINE_VAR static constexpr uint32_t BIT_WIDTH = TOTAL_BITS;
   // The number of bits after the decimal dot when the number is in normal form.
-  LIBC_INLINE_VAR static constexpr int FRACTION_BITS =
-      UP::ENCODING == internal::FPEncoding::X86_ExtendedPrecision ? SIG_BITS - 1
-                                                                  : SIG_BITS;
+  LIBC_INLINE_VAR static constexpr int FRACTION_LEN =
+      UP::ENCODING == internal::FPEncoding::X86_ExtendedPrecision ? SIG_LEN - 1
+                                                                  : SIG_LEN;
   LIBC_INLINE_VAR static constexpr uint32_t MANTISSA_PRECISION =
-      FRACTION_BITS + 1;
-  LIBC_INLINE_VAR static constexpr UIntType FRACTION_MASK =
-      mask_trailing_ones<UIntType, FRACTION_BITS>();
-  LIBC_INLINE_VAR static constexpr uint32_t EXPONENT_WIDTH = EXP_BITS;
-  LIBC_INLINE_VAR static constexpr int32_t EXPONENT_BIAS = EXP_BIAS;
-  LIBC_INLINE_VAR static constexpr UIntType EXPONENT_MASK = EXP_MASK;
-  LIBC_INLINE_VAR static constexpr UIntType EXP_MANT_MASK = EXP_MASK | SIG_MASK;
+      FRACTION_LEN + 1;
+  LIBC_INLINE_VAR static constexpr StorageType FRACTION_MASK =
+      mask_trailing_ones<StorageType, FRACTION_LEN>();
+  LIBC_INLINE_VAR static constexpr StorageType EXP_MANT_MASK =
+      EXP_MASK | SIG_MASK;
 
   // If a number x is a NAN, then it is a quiet NAN if:
   //   QuietNaNMask & bits(x) != 0
   // Else, it is a signalling NAN.
-  static constexpr UIntType QUIET_NAN_MASK = QNAN_MASK;
+  static constexpr StorageType QUIET_NAN_MASK = QNAN_MASK;
 };
 
 //-----------------------------------------------------------------------------
diff --git a/libc/src/__support/FPUtil/Hypot.h b/libc/src/__support/FPUtil/Hypot.h
index 4d6b786b1b6208..a6f0029afca317 100644
--- a/libc/src/__support/FPUtil/Hypot.h
+++ b/libc/src/__support/FPUtil/Hypot.h
@@ -105,8 +105,8 @@ template <> struct DoubleLength<uint64_t> {
 template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE T hypot(T x, T y) {
   using FPBits_t = FPBits<T>;
-  using UIntType = typename FPBits<T>::UIntType;
-  using DUIntType = typename DoubleLength<UIntType>::Type;
+  using StorageType = typename FPBits<T>::StorageType;
+  using DUIntType = typename DoubleLength<StorageType>::Type;
 
   FPBits_t x_bits(x), y_bits(y);
 
@@ -124,12 +124,12 @@ LIBC_INLINE T hypot(T x, T y) {
   uint16_t y_exp = y_bits.get_biased_exponent();
   uint16_t exp_diff = (x_exp > y_exp) ? (x_exp - y_exp) : (y_exp - x_exp);
 
-  if ((exp_diff >= FPBits_t::FRACTION_BITS + 2) || (x == 0) || (y == 0)) {
+  if ((exp_diff >= FPBits_t::FRACTION_LEN + 2) || (x == 0) || (y == 0)) {
     return abs(x) + abs(y);
   }
 
   uint16_t a_exp, b_exp, out_exp;
-  UIntType a_mant, b_mant;
+  StorageType a_mant, b_mant;
   DUIntType a_mant_sq, b_mant_sq;
   bool sticky_bits;
 
@@ -148,17 +148,17 @@ LIBC_INLINE T hypot(T x, T y) {
   out_exp = a_exp;
 
   // Add an extra bit to simplify the final rounding bit computation.
-  constexpr UIntType ONE = UIntType(1) << (FPBits_t::FRACTION_BITS + 1);
+  constexpr StorageType ONE = StorageType(1) << (FPBits_t::FRACTION_LEN + 1);
 
   a_mant <<= 1;
   b_mant <<= 1;
 
-  UIntType leading_one;
+  StorageType leading_one;
   int y_mant_width;
   if (a_exp != 0) {
     leading_one = ONE;
     a_mant |= ONE;
-    y_mant_width = FPBits_t::FRACTION_BITS + 1;
+    y_mant_width = FPBits_t::FRACTION_LEN + 1;
   } else {
     leading_one = internal::find_leading_one(a_mant, y_mant_width);
     a_exp = 1;
@@ -207,22 +207,22 @@ LIBC_INLINE T hypot(T x, T y) {
     }
   }
 
-  UIntType y_new = leading_one;
-  UIntType r = static_cast<UIntType>(sum >> y_mant_width) - leading_one;
-  UIntType tail_bits = static_cast<UIntType>(sum) & (leading_one - 1);
+  StorageType y_new = leading_one;
+  StorageType r = static_cast<StorageType>(sum >> y_mant_width) - leading_one;
+  StorageType tail_bits = static_cast<StorageType>(sum) & (leading_one - 1);
 
-  for (UIntType current_bit = leading_one >> 1; current_bit;
+  for (StorageType current_bit = leading_one >> 1; current_bit;
        current_bit >>= 1) {
     r = (r << 1) + ((tail_bits & current_bit) ? 1 : 0);
-    UIntType tmp = (y_new << 1) + current_bit; // 2*y_new(n - 1) + 2^(-n)
+    StorageType tmp = (y_new << 1) + current_bit; // 2*y_new(n - 1) + 2^(-n)
     if (r >= tmp) {
       r -= tmp;
       y_new += current_bit;
     }
   }
 
-  bool round_bit = y_new & UIntType(1);
-  bool lsb = y_new & UIntType(2);
+  bool round_bit = y_new & StorageType(1);
+  bool lsb = y_new & StorageType(2);
 
   if (y_new >= ONE) {
     y_new -= ONE;
@@ -258,7 +258,7 @@ LIBC_INLINE T hypot(T x, T y) {
     }
   }
 
-  y_new |= static_cast<UIntType>(out_exp) << FPBits_t::FRACTION_BITS;
+  y_new |= static_cast<StorageType>(out_exp) << FPBits_t::FRACTION_LEN;
   return cpp::bit_cast<T>(y_new);
 }
 
diff --git a/libc/src/__support/FPUtil/ManipulationFunctions.h b/libc/src/__support/FPUtil/ManipulationFunctions.h
index 2f22fa2d5baa31..4a475d1e09c499 100644
--- a/libc/src/__support/FPUtil/ManipulationFunctions.h
+++ b/libc/src/__support/FPUtil/ManipulationFunctions.h
@@ -130,7 +130,7 @@ LIBC_INLINE T ldexp(T x, int exp) {
   // early. Because the result of the ldexp operation can be a subnormal number,
   // we need to accommodate the (mantissaWidht + 1) worth of shift in
   // calculating the limit.
-  int exp_limit = FPBits<T>::MAX_EXPONENT + FPBits<T>::FRACTION_BITS + 1;
+  int exp_limit = FPBits<T>::MAX_EXPONENT + FPBits<T>::FRACTION_LEN + 1;
   if (exp > exp_limit)
     return bits.get_sign() ? T(FPBits<T>::neg_inf()) : T(FPBits<T>::inf());
 
@@ -164,8 +164,8 @@ LIBC_INLINE T nextafter(T from, U to) {
   if (static_cast<U>(from) == to)
     return static_cast<T>(to);
 
-  using UIntType = typename FPBits<T>::UIntType;
-  UIntType int_val = from_bits.uintval();
+  using StorageType = typename FPBits<T>::StorageType;
+  StorageType int_val = from_bits.uintval();
   if (from != FPBits<T>::zero()) {
     if ((static_cast<U>(from) < to) == (from > FPBits<T>::zero())) {
       ++int_val;
@@ -178,10 +178,10 @@ LIBC_INLINE T nextafter(T from, U to) {
       int_val |= FloatProperties<T>::SIGN_MASK;
   }
 
-  UIntType exponent_bits = int_val & FloatProperties<T>::EXPONENT_MASK;
-  if (exponent_bits == UIntType(0))
+  StorageType exponent_bits = int_val & FloatProperties<T>::EXP_MASK;
+  if (exponent_bits == StorageType(0))
     raise_except_if_required(FE_UNDERFLOW | FE_INEXACT);
-  else if (exponent_bits == FloatProperties<T>::EXPONENT_MASK)
+  else if (exponent_bits == FloatProperties<T>::EXP_MASK)
     raise_except_if_required(FE_OVERFLOW | FE_INEXACT);
 
   return cpp::bit_cast<T>(int_val);
diff --git a/libc/src/__support/FPUtil/NearestIntegerOperations.h b/libc/src/__support/FPUtil/NearestIntegerOperations.h
index 37bdaca7c25153..64c44e0b3a0c44 100644
--- a/libc/src/__support/FPUtil/NearestIntegerOperations.h
+++ b/libc/src/__support/FPUtil/NearestIntegerOperations.h
@@ -36,7 +36,7 @@ LIBC_INLINE T trunc(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_LEN))
     return x;
 
   // If the exponent is such that abs(x) is less than 1, then return 0.
@@ -47,7 +47,7 @@ LIBC_INLINE T trunc(T x) {
       return T(0.0);
   }
 
-  int trim_size = FPBits<T>::FRACTION_BITS - exponent;
+  int trim_size = FPBits<T>::FRACTION_LEN - exponent;
   bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
   return T(bits);
 }
@@ -65,7 +65,7 @@ LIBC_INLINE T ceil(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_LEN))
     return x;
 
   if (exponent <= -1) {
@@ -75,7 +75,7 @@ LIBC_INLINE T ceil(T x) {
       return T(1.0);
   }
 
-  uint32_t trim_size = FPBits<T>::FRACTION_BITS - exponent;
+  uint32_t trim_size = FPBits<T>::FRACTION_LEN - exponent;
   bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
   T trunc_value = T(bits);
 
@@ -102,7 +102,7 @@ LIBC_INLINE T floor(T x) {
 
 template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE T round(T x) {
-  using UIntType = typename FPBits<T>::UIntType;
+  using StorageType = typename FPBits<T>::StorageType;
   FPBits<T> bits(x);
 
   // If x is infinity NaN or zero, return it.
@@ -114,7 +114,7 @@ LIBC_INLINE T round(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_LEN))
     return x;
 
   if (exponent == -1) {
@@ -133,9 +133,9 @@ LIBC_INLINE T round(T x) {
       return T(0.0);
   }
 
-  uint32_t trim_size = FPBits<T>::FRACTION_BITS - exponent;
+  uint32_t trim_size = FPBits<T>::FRACTION_LEN - exponent;
   bool half_bit_set =
-      bool(bits.get_mantissa() & (UIntType(1) << (trim_size - 1)));
+      bool(bits.get_mantissa() & (StorageType(1) << (trim_size - 1)));
   bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
   T trunc_value = T(bits);
 
@@ -154,7 +154,7 @@ LIBC_INLINE T round(T x) {
 
 template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE T round_using_current_rounding_mode(T x) {
-  using UIntType = typename FPBits<T>::UIntType;
+  using StorageType = typename FPBits<T>::StorageType;
   FPBits<T> bits(x);
 
   // If x is infinity NaN or zero, return it.
@@ -167,7 +167,7 @@ LIBC_INLINE T round_using_current_rounding_mode(T x) {
 
   // If the exponent is greater than the most negative mantissa
   // exponent, then x is already an integer.
-  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_BITS))
+  if (exponent >= static_cast<int>(FPBits<T>::FRACTION_LEN))
     return x;
 
   if (exponent <= -1) {
@@ -188,7 +188,7 @@ LIBC_INLINE T round_using_current_rounding_mode(T x) {
     }
   }
 
-  uint32_t trim_size = FPBits<T>::FRACTION_BITS - exponent;
+  uint32_t trim_size = FPBits<T>::FRACTION_LEN - exponent;
   FPBits<T> new_bits = bits;
   new_bits.set_mantissa((bits.get_mantissa() >> trim_size) << trim_size);
   T trunc_value = T(new_bits);
@@ -197,12 +197,14 @@ LIBC_INLINE T round_using_current_rounding_mode(T x) {
   if (trunc_value == x)
     return x;
 
-  UIntType trim_value = bits.get_mantissa() & ((UIntType(1) << trim_size) - 1);
-  UIntType half_value = (UIntType(1) << (trim_size - 1));
+  StorageType trim_value =
+      bits.get_mantissa() & ((StorageType(1) << trim_size) - 1);
+  StorageType half_value = (StorageType(1) << (trim_size - 1));
   // If exponent is 0, trimSize will be equal to the mantissa width, and
   // truncIsOdd` will not be correct. So, we handle it as a special case
   // below.
-  UIntType trunc_is_odd = new_bits.get_mantissa() & (UIntType(1) << trim_size);
+  StorageType trunc_is_odd =
+      new_bits.get_mantissa() & (StorageType(1) << trim_size);
 
   switch (rounding_mode) {
   case FE_DOWNWARD:
diff --git a/libc/src/__support/FPUtil/NormalFloat.h b/libc/src/__support/FPUtil/NormalFloat.h
index 32ce0e2ab1299a..e70c89a7dbe15a 100644
--- a/libc/src/__support/FPUtil/NormalFloat.h
+++ b/libc/src/__support/FPUtil/NormalFloat.h
@@ -31,21 +31,22 @@ template <typename T> struct NormalFloat {
       cpp::is_floating_point_v<T>,
       "NormalFloat template parameter has to be a floating point type.");
 
-  using UIntType = typename FPBits<T>::UIntType;
-  static constexpr UIntType ONE = (UIntType(1) << FPBits<T>::FRACTION_BITS);
+  using StorageType = typename FPBits<T>::StorageType;
+  static constexpr StorageType ONE =
+      (StorageType(1) << FPBits<T>::FRACTION_LEN);
 
   // Unbiased exponent value.
   int32_t exponent;
 
-  UIntType mantissa;
-  // We want |UIntType| to have atleast one bit more than the actual mantissa
+  StorageType mantissa;
+  // We want |StorageType| to have atleast one bit more than the actual mantissa
   // bit width to accommodate the implicit 1 value.
-  static_assert(sizeof(UIntType) * 8 >= FPBits<T>::FRACTION_BITS + 1,
+  static_assert(sizeof(StorageType) * 8 >= FPBits<T>::FRACTION_LEN + 1,
                 "Bad type for mantissa in NormalFloat.");
 
   bool sign;
 
-  LIBC_INLINE NormalFloat(int32_t e, UIntType m, bool s)
+  LIBC_INLINE NormalFloat(int32_t e, StorageType m, bool s)
       : exponent(e), mantissa(m), sign(s) {
     if (mantissa >= ONE)
       return;
@@ -90,9 +91,9 @@ template <typename T> struct NormalFloat {
   }
 
   LIBC_INLINE operator T() const {
-    int biased_exponent = exponent + FPBits<T>::EXPONENT_BIAS;
+    int biased_exponent = exponent + FPBits<T>::EXP_BIAS;
     // Max exponent is of the form 0xFF...E. That is why -2 and not -1.
-    constexpr int MAX_EXPONENT_VALUE = (1 << FPBits<T>::EXPONENT_WIDTH) - 2;
+    constexpr int MAX_EXPONENT_VALUE = (1 << FPBits<T>::EXP_LEN) - 2;
     if (biased_exponent > MAX_EXPONENT_VALUE) {
       return sign ? T(FPBits<T>::neg_inf()) : T(FPBits<T>::inf());
     }
@@ -100,20 +101,20 @@ template <typename T> struct NormalFloat {
     FPBits<T> result(T(0.0));
     result.set_sign(sign);
 
-    constexpr int SUBNORMAL_EXPONENT = -FPBits<T>::EXPONENT_BIAS + 1;
+    constexpr int SUBNORMAL_EXPONENT = -FPBits<T>::EXP_BIAS + 1;
     if (exponent < SUBNORMAL_EXPONENT) {
       unsigned shift = SUBNORMAL_EXPONENT - exponent;
       // Since exponent > subnormalExponent, shift is strictly greater than
       // zero.
-      if (shift <= FPBits<T>::FRACTION_BITS + 1) {
+      if (shift <= FPBits<T>::FRACTION_LEN + 1) {
         // Generate a subnormal number. Might lead to loss of precision.
         // We round to nearest and round halfway cases to even.
-        const UIntType shift_out_mask = (UIntType(1) << shift) - 1;
-        const UIntType shift_out_value = mantissa & shift_out_mask;
-        const UIntType halfway_value = UIntType(1) << (shift - 1);
+        const StorageType shift_out_mask = (StorageType(1) << shift) - 1;
+        const StorageType shift_out_value = mantissa & shift_out_mask;
+        const StorageType halfway_value = StorageType(1) << (shift - 1);
         result.set_biased_exponent(0);
         result.set_mantissa(mantissa >> shift);
-        UIntType new_mantissa = result.get_mantissa();
+        StorageType new_mantissa = result.get_mantissa();
         if (shift_out_value > halfway_value) {
           new_mantissa += 1;
         } else if (shift_out_value == halfway_value) {
@@ -133,7 +134,7 @@ template <typename T> struct NormalFloat {
       }
     }
 
-    result.set_biased_exponent(exponent + FPBits<T>::EXPONENT_BIAS);
+    result.set_biased_exponent(exponent + FPBits<T>::EXP_BIAS);
     result.set_mantissa(mantissa);
     return T(result);
   }
@@ -153,17 +154,17 @@ template <typename T> struct NormalFloat {
     // Normalize subnormal numbers.
     if (bits.get_biased_exponent() == 0) {
       unsigned shift = evaluate_normalization_shift(bits.get_mantissa());
-      mantissa = UIntType(bits.get_mantissa()) << shift;
-      exponent = 1 - FPBits<T>::EXPONENT_BIAS - shift;
+      mantissa = StorageType(bits.get_mantissa()) << shift;
+      exponent = 1 - FPBits<T>::EXP_BIAS - shift;
     } else {
-      exponent = bits.get_biased_exponent() - FPBits<T>::EXPONENT_BIAS;
+      exponent = bits.get_biased_exponent() - FPBits<T>::EXP_BIAS;
       mantissa = ONE | bits.get_mantissa();
     }
   }
 
-  LIBC_INLINE unsigned evaluate_normalization_shift(UIntType m) {
+  LIBC_INLINE unsigned evaluate_normalization_shift(StorageType m) {
     unsigned shift = 0;
-    for (; (ONE & m) == 0 && (shift < FPBits<T>::FRACTION_BITS);
+    for (; (ONE & m) == 0 && (shift < FPBits<T>::FRACTION_LEN);
          m <<= 1, ++shift)
       ;
     return shift;
@@ -209,9 +210,9 @@ NormalFloat<long double>::init_from_bits(FPBits<long double> bits) {
 
 template <> LIBC_INLINE NormalFloat<long double>::operator long double() const {
   using LDBits = FPBits<long double>;
-  int biased_exponent = exponent + LDBits::EXPONENT_BIAS;
+  int biased_exponent = exponent + LDBits::EXP_BIAS;
   // Max exponent is of the form 0xFF...E. That is why -2 and not -1.
-  constexpr int MAX_EXPONENT_VALUE = (1 << LDBits::EXPONENT_WIDTH) - 2;
+  constexpr int MAX_EXPONENT_VALUE = (1 << LDBits::EXP_LEN) - 2;
   if (biased_exponent > MAX_EXPONENT_VALUE) {
     return sign ? LDBits::neg_inf() : LDBits::inf();
   }
@@ -219,18 +220,18 @@ template <> LIBC_INLINE NormalFloat<long double>::operator long double() const {
   FPBits<long double> result(0.0l);
   result.set_sign(sign);
 
-  constexpr int SUBNORMAL_EXPONENT = -LDBits::EXPONENT_BIAS + 1;
+  constexpr int SUBNORMAL_EXPONENT = -LDBits::EXP_BIAS + 1;
   if (exponent < SUBNORMAL_EXPONENT) {
     unsigned shift = SUBNORMAL_EXPONENT - exponent;
-    if (shift <= LDBits::FRACTION_BITS + 1) {
+    if (shift <= LDBits::FRACTION_LEN + 1) {
       // Generate a subnormal number. Might lead to loss of precision.
       // We round to nearest and round halfway cases to even.
-      const UIntType shift_out_mask = (UIntType(1) << shift) - 1;
-      const UIntType shift_out_value = mantissa & shift_out_mask;
-      const UIntType halfway_value = UIntType(1) << (shift - 1);
+      const StorageType shift_out_mask = (StorageType(1) << shift) - 1;
+      const StorageType shift_out_value = mantissa & shift_out_mask;
+      const StorageType halfway_value = StorageType(1) << (shift - 1);
       result.set_biased_exponent(0);
       result.set_mantissa(mantissa >> shift);
-      UIntType new_mantissa = result.get_mantissa();
+      StorageType new_mantissa = result.get_mantissa();
       if (shift_out_value > halfway_value) {
         new_mantissa += 1;
       } else if (shift_out_value == halfway_value) {
diff --git a/libc/src/__support/FPUtil/dyadic_float.h b/libc/src/__support/FPUtil/dyadic_float.h
index da926e78003c0a..f8056fecb8ecc1 100644
--- a/libc/src/__support/FPUtil/dyadic_float.h
+++ b/libc/src/__support/FPUtil/dyadic_float.h
@@ -42,10 +42,10 @@ template <size_t Bits> struct DyadicFloat {
 
   template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
   DyadicFloat(T x) {
-    static_assert(FloatProperties<T>::FRACTION_BITS < Bits);
+    static_assert(FloatProperties<T>::FRACTION_LEN < Bits);
     FPBits<T> x_bits(x);
     sign = x_bits.get_sign();
-    exponent = x_bits.get_exponent() - FloatProperties<T>::FRACTION_BITS;
+    exponent = x_bits.get_exponent() - FloatProperties<T>::FRACTION_LEN;
     mantissa = MantissaType(x_bits.get_explicit_mantissa());
     normalize();
   }
@@ -86,7 +86,7 @@ template <size_t Bits> struct DyadicFloat {
   // TODO(lntue): Test or add specialization for x86 long double.
   template <typename T, typename = cpp::enable_if_t<
                             cpp::is_floating_point_v<T> &&
-                                (FloatProperties<T>::FRACTION_BITS < Bits),
+                                (FloatProperties<T>::FRACTION_LEN < Bits),
                             void>>
   explicit operator T() const {
     // TODO(lntue): Do we need to treat signed zeros properly?
@@ -95,10 +95,10 @@ template <size_t Bits> struct DyadicFloat {
 
     // Assume that it is normalized, and output is also normal.
     constexpr uint32_t PRECISION = FloatProperties<T>::MANTISSA_PRECISION;
-    using output_bits_t = typename FPBits<T>::UIntType;
+    using output_bits_t = typename FPBits<T>::StorageType;
 
-    int exp_hi = exponent + static_cast<int>((Bits - 1) +
-                                             FloatProperties<T>::EXPONENT_BIAS);
+    int exp_hi =
+        exponent + static_cast<int>((Bits - 1) + FloatProperties<T>::EXP_BIAS);
 
     bool denorm = false;
     uint32_t shift = Bits - PRECISION;
@@ -107,7 +107,7 @@ template <size_t Bits> struct DyadicFloat {
       denorm = true;
       shift = (Bits - PRECISION) + static_cast<uint32_t>(1 - exp_hi);
 
-      exp_hi = FloatProperties<T>::EXPONENT_BIAS;
+      exp_hi = FloatProperties<T>::EXP_BIAS;
     }
 
     int exp_lo = exp_hi - static_cast<int>(PRECISION) - 1;
@@ -130,14 +130,14 @@ template <size_t Bits> struct DyadicFloat {
     if (LIBC_UNLIKELY(exp_lo <= 0)) {
       // d_lo is denormal, but the output is normal.
       int scale_up_exponent = 2 * PRECISION;
-      T scale_up_factor =
-          FPBits<T>::create_value(
-              sign, FloatProperties<T>::EXPONENT_BIAS + scale_up_exponent,
-              output_bits_t(0))
-              .get_val();
+      T scale_up_factor = FPBits<T>::create_value(sign,
+                                                  FloatProperties<T>::EXP_BIAS +
+                                                      scale_up_exponent,
+                                                  output_bits_t(0))
+                              .get_val();
       T scale_down_factor =
           FPBits<T>::create_value(
-              sign, FloatProperties<T>::EXPONENT_BIAS - scale_up_exponent,
+              sign, FloatProperties<T>::EXP_BIAS - scale_up_exponent,
               output_bits_t(0))
               .get_val();
 
@@ -157,7 +157,7 @@ template <size_t Bits> struct DyadicFloat {
     if (LIBC_UNLIKELY(denorm)) {
       // Output is denormal, simply clear the exponent field.
       output_bits_t clear_exp = output_bits_t(exp_hi)
-                                << FloatProperties<T>::FRACTION_BITS;
+                                << FloatProperties<T>::FRACTION_LEN;
       output_bits_t r_bits = FPBits<T>(r).uintval() - clear_exp;
       return FPBits<T>(r_bits).get_val();
     }
diff --git a/libc/src/__support/FPUtil/except_value_utils.h b/libc/src/__support/FPUtil/except_value_utils.h
index 7560e59792e46e..89849540315f64 100644
--- a/libc/src/__support/FPUtil/except_value_utils.h
+++ b/libc/src/__support/FPUtil/except_value_utils.h
@@ -26,7 +26,7 @@ namespace fputil {
 //
 // Define list of exceptional inputs and outputs:
 //   static constexpr int N = ...;  // Number of exceptional values.
-//   static constexpr fputil::ExceptValues<UIntType, N> Excepts {
+//   static constexpr fputil::ExceptValues<StorageType, N> Excepts {
 //     <list of input bits, output bits and offsets>
 //   };
 //
@@ -37,22 +37,22 @@ namespace fputil {
 template <typename T, size_t N> struct ExceptValues {
   static_assert(cpp::is_floating_point_v<T>, "Must be a floating point type.");
 
-  using UIntType = typename FPBits<T>::UIntType;
+  using StorageType = typename FPBits<T>::StorageType;
 
   struct Mapping {
-    UIntType input;
-    UIntType rnd_towardzero_result;
-    UIntType rnd_upward_offset;
-    UIntType rnd_downward_offset;
-    UIntType rnd_tonearest_offset;
+    StorageType input;
+    StorageType rnd_towardzero_result;
+    StorageType rnd_upward_offset;
+    StorageType rnd_downward_offset;
+    StorageType rnd_tonearest_offset;
   };
 
   Mapping values[N];
 
-  LIBC_INLINE constexpr cpp::optional<T> lookup(UIntType x_bits) const {
+  LIBC_INLINE constexpr cpp::optional<T> lookup(StorageType x_bits) const {
     for (size_t i = 0; i < N; ++i) {
       if (LIBC_UNLIKELY(x_bits == values[i].input)) {
-        UIntType out_bits = values[i].rnd_towardzero_result;
+        StorageType out_bits = values[i].rnd_towardzero_result;
         switch (fputil::quick_get_round()) {
         case FE_UPWARD:
           out_bits += values[i].rnd_upward_offset;
@@ -70,11 +70,11 @@ template <typename T, size_t N> struct ExceptValues {
     return cpp::nullopt;
   }
 
-  LIBC_INLINE constexpr cpp::optional<T> lookup_odd(UIntType x_abs,
+  LIBC_INLINE constexpr cpp::optional<T> lookup_odd(StorageType x_abs,
                                                     bool sign) const {
     for (size_t i = 0; i < N; ++i) {
       if (LIBC_UNLIKELY(x_abs == values[i].input)) {
-        UIntType out_bits = values[i].rnd_towardzero_result;
+        StorageType out_bits = values[i].rnd_towardzero_result;
         switch (fputil::quick_get_round()) {
         case FE_UPWARD:
           out_bits += sign ? values[i].rnd_downward_offset
diff --git a/libc/src/__support/FPUtil/fpbits_str.h b/libc/src/__support/FPUtil/fpbits_str.h
index f23988cc3a680e..bab3d5f97a6b35 100644
--- a/libc/src/__support/FPUtil/fpbits_str.h
+++ b/libc/src/__support/FPUtil/fpbits_str.h
@@ -35,7 +35,7 @@ using ZeroPaddedHexFmt = IntegerToString<
 // 3. The exponent is always 16 bits wide irrespective of the type of the
 //    floating encoding.
 template <typename T> LIBC_INLINE cpp::string str(fputil::FPBits<T> x) {
-  using UIntType = typename fputil::FPBits<T>::UIntType;
+  using StorageType = typename fputil::FPBits<T>::StorageType;
 
   if (x.is_nan())
     return "(NaN)";
@@ -46,7 +46,7 @@ template <typename T> LIBC_INLINE cpp::string str(fputil::FPBits<T> x) {
 
   cpp::string s;
 
-  const details::ZeroPaddedHexFmt<UIntType> bits(x.bits);
+  const details::ZeroPaddedHexFmt<StorageType> bits(x.bits);
   s += bits.view();
 
   s += " = (S: ";
@@ -62,7 +62,7 @@ template <typename T> LIBC_INLINE cpp::string str(fputil::FPBits<T> x) {
   }
 
   s += ", M: ";
-  const details::ZeroPaddedHexFmt<UIntType> mantissa(x.get_mantissa());
+  const details::ZeroPaddedHexFmt<StorageType> mantissa(x.get_mantissa());
   s += mantissa.view();
 
   s += ')';
diff --git a/libc/src/__support/FPUtil/generic/FMA.h b/libc/src/__support/FPUtil/generic/FMA.h
index 7aed3168ace5a4..0180cd56ddef08 100644
--- a/libc/src/__support/FPUtil/generic/FMA.h
+++ b/libc/src/__support/FPUtil/generic/FMA.h
@@ -159,10 +159,10 @@ template <> LIBC_INLINE double fma<double>(double x, double y, double z) {
 
   UInt128 prod_mant = x_mant * y_mant << 10;
   int prod_lsb_exp =
-      x_exp + y_exp - (FPBits::EXPONENT_BIAS + 2 * FPBits::FRACTION_BITS + 10);
+      x_exp + y_exp - (FPBits::EXP_BIAS + 2 * FPBits::FRACTION_LEN + 10);
 
   z_mant <<= 64;
-  int z_lsb_exp = z_exp - (FPBits::FRACTION_BITS + 64);
+  int z_lsb_exp = z_exp - (FPBits::FRACTION_LEN + 64);
   bool round_bit = false;
   bool sticky_bits = false;
   bool z_shifted = false;
@@ -269,7 +269,7 @@ template <> LIBC_INLINE double fma<double>(double x, double y, double z) {
 
   // Remove hidden bit and append the exponent field and sign bit.
   result = (result & FloatProp::FRACTION_MASK) |
-           (static_cast<uint64_t>(r_exp) << FloatProp::FRACTION_BITS);
+           (static_cast<uint64_t>(r_exp) << FloatProp::FRACTION_LEN);
   if (prod_sign) {
     result |= FloatProp::SIGN_MASK;
   }
diff --git a/libc/src/__support/FPUtil/generic/FMod.h b/libc/src/__support/FPUtil/generic/FMod.h
index 7f2e9c41ca194c..d12be7bb14d07a 100644
--- a/libc/src/__support/FPUtil/generic/FMod.h
+++ b/libc/src/__support/FPUtil/generic/FMod.h
@@ -167,11 +167,13 @@ template <typename T> struct FModFastMathWrapper {
 
 template <typename T> class FModDivisionSimpleHelper {
 private:
-  using UIntType = typename FPBits<T>::UIntType;
+  using StorageType = typename FPBits<T>::StorageType;
 
 public:
-  LIBC_INLINE constexpr static UIntType
-  execute(int exp_diff, int sides_zeroes_count, UIntType m_x, UIntType m_y) {
+  LIBC_INLINE constexpr static StorageType execute(int exp_diff,
+                                                   int sides_zeroes_count,
+                                                   StorageType m_x,
+                                                   StorageType m_y) {
     while (exp_diff > sides_zeroes_count) {
       exp_diff -= sides_zeroes_count;
       m_x <<= sides_zeroes_count;
@@ -186,22 +188,25 @@ template <typename T> class FModDivisionSimpleHelper {
 template <typename T> class FModDivisionInvMultHelper {
 private:
   using FPB = FPBits<T>;
-  using UIntType = typename FPB::UIntType;
+  using StorageType = typename FPB::StorageType;
 
 public:
-  LIBC_INLINE constexpr static UIntType
-  execute(int exp_diff, int sides_zeroes_count, UIntType m_x, UIntType m_y) {
+  LIBC_INLINE constexpr static StorageType execute(int exp_diff,
+                                                   int sides_zeroes_count,
+                                                   StorageType m_x,
+                                                   StorageType m_y) {
     if (exp_diff > sides_zeroes_count) {
-      UIntType inv_hy = (cpp::numeric_limits<UIntType>::max() / m_y);
+      StorageType inv_hy = (cpp::numeric_limits<StorageType>::max() / m_y);
       while (exp_diff > sides_zeroes_count) {
         exp_diff -= sides_zeroes_count;
-        UIntType hd = (m_x * inv_hy) >> (FPB::BIT_WIDTH - sides_zeroes_count);
+        StorageType hd =
+            (m_x * inv_hy) >> (FPB::TOTAL_LEN - sides_zeroes_count);
         m_x <<= sides_zeroes_count;
         m_x -= hd * m_y;
         while (LIBC_UNLIKELY(m_x > m_y))
           m_x -= m_y;
       }
-      UIntType hd = (m_x * inv_hy) >> (FPB::BIT_WIDTH - exp_diff);
+      StorageType hd = (m_x * inv_hy) >> (FPB::TOTAL_LEN - exp_diff);
       m_x <<= exp_diff;
       m_x -= hd * m_y;
       while (LIBC_UNLIKELY(m_x > m_y))
@@ -222,7 +227,7 @@ class FMod {
 
 private:
   using FPB = FPBits<T>;
-  using UIntType = typename FPB::UIntType;
+  using StorageType = typename FPB::StorageType;
 
   LIBC_INLINE static constexpr FPB eval_internal(FPB sx, FPB sy) {
 
@@ -235,12 +240,12 @@ class FMod {
     int e_x = sx.get_biased_exponent();
     int e_y = sy.get_biased_exponent();
 
-    // Most common case where |y| is "very normal" and |x/y| < 2^EXPONENT_WIDTH
-    if (LIBC_LIKELY(e_y > int(FPB::FRACTION_BITS) &&
-                    e_x - e_y <= int(FPB::EXPONENT_WIDTH))) {
-      UIntType m_x = sx.get_explicit_mantissa();
-      UIntType m_y = sy.get_explicit_mantissa();
-      UIntType d = (e_x == e_y) ? (m_x - m_y) : (m_x << (e_x - e_y)) % m_y;
+    // Most common case where |y| is "very normal" and |x/y| < 2^EXP_LEN
+    if (LIBC_LIKELY(e_y > int(FPB::FRACTION_LEN) &&
+                    e_x - e_y <= int(FPB::EXP_LEN))) {
+      StorageType m_x = sx.get_explicit_mantissa();
+      StorageType m_y = sy.get_explicit_mantissa();
+      StorageType d = (e_x == e_y) ? (m_x - m_y) : (m_x << (e_x - e_y)) % m_y;
       if (d == 0)
         return FPB(FPB::zero());
       // iy - 1 because of "zero power" for number with power 1
@@ -254,11 +259,11 @@ class FMod {
     }
 
     // Note that hx is not subnormal by conditions above.
-    UIntType m_x = sx.get_explicit_mantissa();
+    StorageType m_x = sx.get_explicit_mantissa();
     e_x--;
 
-    UIntType m_y = sy.get_explicit_mantissa();
-    int lead_zeros_m_y = FPB::EXPONENT_WIDTH;
+    StorageType m_y = sy.get_explicit_mantissa();
+    int lead_zeros_m_y = FPB::EXP_LEN;
     if (LIBC_LIKELY(e_y > 0)) {
       e_y--;
     } else {
@@ -281,8 +286,7 @@ class FMod {
 
     {
       // Shift hx left until the end or n = 0
-      int left_shift =
-          exp_diff < int(FPB::EXPONENT_WIDTH) ? exp_diff : FPB::EXPONENT_WIDTH;
+      int left_shift = exp_diff < int(FPB::EXP_LEN) ? exp_diff : FPB::EXP_LEN;
       m_x <<= left_shift;
       exp_diff -= left_shift;
     }
diff --git a/libc/src/__support/FPUtil/generic/sqrt.h b/libc/src/__support/FPUtil/generic/sqrt.h
index bafea6595506f1..7d56462a168564 100644
--- a/libc/src/__support/FPUtil/generic/sqrt.h
+++ b/libc/src/__support/FPUtil/generic/sqrt.h
@@ -35,9 +35,9 @@ template <> struct SpecialLongDouble<long double> {
 
 template <typename T>
 LIBC_INLINE void normalize(int &exponent,
-                           typename FPBits<T>::UIntType &mantissa) {
+                           typename FPBits<T>::StorageType &mantissa) {
   const int shift = cpp::countl_zero(mantissa) -
-                    (8 * sizeof(mantissa) - 1 - FPBits<T>::FRACTION_BITS);
+                    (8 * sizeof(mantissa) - 1 - FPBits<T>::FRACTION_LEN);
   exponent -= shift;
   mantissa <<= shift;
 }
@@ -71,8 +71,8 @@ LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, T> sqrt(T x) {
     return x86::sqrt(x);
   } else {
     // IEEE floating points formats.
-    using UIntType = typename FPBits<T>::UIntType;
-    constexpr UIntType ONE = UIntType(1) << FPBits<T>::FRACTION_BITS;
+    using StorageType = typename FPBits<T>::StorageType;
+    constexpr StorageType ONE = StorageType(1) << FPBits<T>::FRACTION_LEN;
 
     FPBits<T> bits(x);
 
@@ -94,7 +94,7 @@ LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, T> sqrt(T x) {
       return FPBits<T>::build_quiet_nan(ONE >> 1);
     } else {
       int x_exp = bits.get_exponent();
-      UIntType x_mant = bits.get_mantissa();
+      StorageType x_mant = bits.get_mantissa();
 
       // Step 1a: Normalize denormal input and append hidden bit to the mantissa
       if (bits.get_biased_exponent() == 0) {
@@ -122,12 +122,12 @@ LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, T> sqrt(T x) {
       // So the nth digit y_n of the mantissa of sqrt(x) can be found by:
       //   y_n = 1 if 2*r(n-1) >= 2*y(n - 1) + 2^(-n-1)
       //         0 otherwise.
-      UIntType y = ONE;
-      UIntType r = x_mant - ONE;
+      StorageType y = ONE;
+      StorageType r = x_mant - ONE;
 
-      for (UIntType current_bit = ONE >> 1; current_bit; current_bit >>= 1) {
+      for (StorageType current_bit = ONE >> 1; current_bit; current_bit >>= 1) {
         r <<= 1;
-        UIntType tmp = (y << 1) + current_bit; // 2*y(n - 1) + 2^(-n-1)
+        StorageType tmp = (y << 1) + current_bit; // 2*y(n - 1) + 2^(-n-1)
         if (r >= tmp) {
           r -= tmp;
           y += current_bit;
@@ -138,17 +138,17 @@ LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, T> sqrt(T x) {
       bool lsb = static_cast<bool>(y & 1); // Least significant bit
       bool rb = false;                     // Round bit
       r <<= 2;
-      UIntType tmp = (y << 2) + 1;
+      StorageType tmp = (y << 2) + 1;
       if (r >= tmp) {
         r -= tmp;
         rb = true;
       }
 
       // Remove hidden bit and append the exponent field.
-      x_exp = ((x_exp >> 1) + FPBits<T>::EXPONENT_BIAS);
+      x_exp = ((x_exp >> 1) + FPBits<T>::EXP_BIAS);
 
       y = (y - ONE) |
-          (static_cast<UIntType>(x_exp) << FPBits<T>::FRACTION_BITS);
+          (static_cast<StorageType>(x_exp) << FPBits<T>::FRACTION_LEN);
 
       switch (quick_get_round()) {
       case FE_TONEAREST:
diff --git a/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h b/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h
index c1309f36573546..257c02e17d0045 100644
--- a/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h
+++ b/libc/src/__support/FPUtil/generic/sqrt_80_bit_long_double.h
@@ -23,7 +23,7 @@ namespace x86 {
 LIBC_INLINE void normalize(int &exponent, UInt128 &mantissa) {
   const unsigned int shift = static_cast<unsigned int>(
       cpp::countl_zero(static_cast<uint64_t>(mantissa)) -
-      (8 * sizeof(uint64_t) - 1 - FPBits<long double>::FRACTION_BITS));
+      (8 * sizeof(uint64_t) - 1 - FPBits<long double>::FRACTION_LEN));
   exponent -= shift;
   mantissa <<= shift;
 }
@@ -37,8 +37,8 @@ LIBC_INLINE long double sqrt(long double x);
 #if defined(LIBC_LONG_DOUBLE_IS_X86_FLOAT80)
 LIBC_INLINE long double sqrt(long double x) {
   using LDBits = FPBits<long double>;
-  using UIntType = typename LDBits::UIntType;
-  constexpr UIntType ONE = UIntType(1) << int(LDBits::FRACTION_BITS);
+  using StorageType = typename LDBits::StorageType;
+  constexpr StorageType ONE = StorageType(1) << int(LDBits::FRACTION_LEN);
 
   FPBits<long double> bits(x);
 
@@ -60,7 +60,7 @@ LIBC_INLINE long double sqrt(long double x) {
     return LDBits::build_quiet_nan(ONE >> 1);
   } else {
     int x_exp = bits.get_explicit_exponent();
-    UIntType x_mant = bits.get_mantissa();
+    StorageType x_mant = bits.get_mantissa();
 
     // Step 1a: Normalize denormal input
     if (bits.get_implicit_bit()) {
@@ -87,12 +87,12 @@ LIBC_INLINE long double sqrt(long double x) {
     // So the nth digit y_n of the mantissa of sqrt(x) can be found by:
     //   y_n = 1 if 2*r(n-1) >= 2*y(n - 1) + 2^(-n-1)
     //         0 otherwise.
-    UIntType y = ONE;
-    UIntType r = x_mant - ONE;
+    StorageType y = ONE;
+    StorageType r = x_mant - ONE;
 
-    for (UIntType current_bit = ONE >> 1; current_bit; current_bit >>= 1) {
+    for (StorageType current_bit = ONE >> 1; current_bit; current_bit >>= 1) {
       r <<= 1;
-      UIntType tmp = (y << 1) + current_bit; // 2*y(n - 1) + 2^(-n-1)
+      StorageType tmp = (y << 1) + current_bit; // 2*y(n - 1) + 2^(-n-1)
       if (r >= tmp) {
         r -= tmp;
         y += current_bit;
@@ -103,15 +103,15 @@ LIBC_INLINE long double sqrt(long double x) {
     bool lsb = static_cast<bool>(y & 1); // Least significant bit
     bool rb = false;                     // Round bit
     r <<= 2;
-    UIntType tmp = (y << 2) + 1;
+    StorageType tmp = (y << 2) + 1;
     if (r >= tmp) {
       r -= tmp;
       rb = true;
     }
 
     // Append the exponent field.
-    x_exp = ((x_exp >> 1) + LDBits::EXPONENT_BIAS);
-    y |= (static_cast<UIntType>(x_exp) << (LDBits::FRACTION_BITS + 1));
+    x_exp = ((x_exp >> 1) + LDBits::EXP_BIAS);
+    y |= (static_cast<StorageType>(x_exp) << (LDBits::FRACTION_LEN + 1));
 
     switch (quick_get_round()) {
     case FE_TONEAREST:
diff --git a/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h b/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h
index e64c9dad047393..89c47063ebac4d 100644
--- a/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h
+++ b/libc/src/__support/FPUtil/x86_64/LongDoubleBits.h
@@ -27,72 +27,73 @@ namespace LIBC_NAMESPACE {
 namespace fputil {
 
 template <> struct FPBits<long double> : private FloatProperties<long double> {
-  using typename FloatProperties<long double>::UIntType;
-  using FloatProperties<long double>::BIT_WIDTH;
+  using typename FloatProperties<long double>::StorageType;
+  using FloatProperties<long double>::TOTAL_LEN;
   using FloatProperties<long double>::EXP_MANT_MASK;
-  using FloatProperties<long double>::EXPONENT_MASK;
-  using FloatProperties<long double>::EXPONENT_BIAS;
-  using FloatProperties<long double>::EXPONENT_WIDTH;
+  using FloatProperties<long double>::EXP_MASK;
+  using FloatProperties<long double>::EXP_BIAS;
+  using FloatProperties<long double>::EXP_LEN;
   using FloatProperties<long double>::FRACTION_MASK;
-  using FloatProperties<long double>::FRACTION_BITS;
+  using FloatProperties<long double>::FRACTION_LEN;
   using FloatProperties<long double>::QUIET_NAN_MASK;
   using FloatProperties<long double>::SIGN_MASK;
 
   static constexpr int MAX_EXPONENT = 0x7FFF;
-  static constexpr UIntType MIN_SUBNORMAL = UIntType(1);
+  static constexpr StorageType MIN_SUBNORMAL = StorageType(1);
   // Subnormal numbers include the implicit bit in x86 long double formats.
-  static constexpr UIntType MAX_SUBNORMAL = (UIntType(1) << FRACTION_BITS) - 1;
-  static constexpr UIntType MIN_NORMAL = (UIntType(3) << FRACTION_BITS);
-  static constexpr UIntType MAX_NORMAL =
-      (UIntType(MAX_EXPONENT - 1) << (FRACTION_BITS + 1)) |
-      (UIntType(1) << FRACTION_BITS) | MAX_SUBNORMAL;
+  static constexpr StorageType MAX_SUBNORMAL =
+      (StorageType(1) << FRACTION_LEN) - 1;
+  static constexpr StorageType MIN_NORMAL = (StorageType(3) << FRACTION_LEN);
+  static constexpr StorageType MAX_NORMAL =
+      (StorageType(MAX_EXPONENT - 1) << (FRACTION_LEN + 1)) |
+      (StorageType(1) << FRACTION_LEN) | MAX_SUBNORMAL;
 
-  UIntType bits;
+  StorageType bits;
 
-  LIBC_INLINE constexpr void set_mantissa(UIntType mantVal) {
+  LIBC_INLINE constexpr void set_mantissa(StorageType mantVal) {
     mantVal &= FRACTION_MASK;
     bits &= ~FRACTION_MASK;
     bits |= mantVal;
   }
 
-  LIBC_INLINE constexpr UIntType get_mantissa() const {
+  LIBC_INLINE constexpr StorageType get_mantissa() const {
     return bits & FRACTION_MASK;
   }
 
-  LIBC_INLINE constexpr UIntType get_explicit_mantissa() const {
+  LIBC_INLINE constexpr StorageType get_explicit_mantissa() const {
     // The x86 80 bit float represents the leading digit of the mantissa
     // explicitly. This is the mask for that bit.
-    constexpr UIntType EXPLICIT_BIT_MASK = UIntType(1) << FRACTION_BITS;
+    constexpr StorageType EXPLICIT_BIT_MASK = StorageType(1) << FRACTION_LEN;
     return bits & (FRACTION_MASK | EXPLICIT_BIT_MASK);
   }
 
-  LIBC_INLINE constexpr void set_biased_exponent(UIntType expVal) {
-    expVal = (expVal << (BIT_WIDTH - 1 - EXPONENT_WIDTH)) & EXPONENT_MASK;
-    bits &= ~EXPONENT_MASK;
+  LIBC_INLINE constexpr void set_biased_exponent(StorageType expVal) {
+    expVal = (expVal << (TOTAL_LEN - 1 - EXP_LEN)) & EXP_MASK;
+    bits &= ~EXP_MASK;
     bits |= expVal;
   }
 
   LIBC_INLINE constexpr uint16_t get_biased_exponent() const {
-    return uint16_t((bits & EXPONENT_MASK) >> (BIT_WIDTH - 1 - EXPONENT_WIDTH));
+    return uint16_t((bits & EXP_MASK) >> (TOTAL_LEN - 1 - EXP_LEN));
   }
 
   LIBC_INLINE constexpr void set_implicit_bit(bool implicitVal) {
-    bits &= ~(UIntType(1) << FRACTION_BITS);
-    bits |= (UIntType(implicitVal) << FRACTION_BITS);
+    bits &= ~(StorageType(1) << FRACTION_LEN);
+    bits |= (StorageType(implicitVal) << FRACTION_LEN);
   }
 
   LIBC_INLINE constexpr bool get_implicit_bit() const {
-    return bool((bits & (UIntType(1) << FRACTION_BITS)) >> FRACTION_BITS);
+    return bool((bits & (StorageType(1) << FRACTION_LEN)) >> FRACTION_LEN);
   }
 
   LIBC_INLINE constexpr void set_sign(bool signVal) {
     bits &= ~SIGN_MASK;
-    UIntType sign1 = UIntType(signVal) << (BIT_WIDTH - 1);
+    StorageType sign1 = StorageType(signVal) << (TOTAL_LEN - 1);
     bits |= sign1;
   }
 
   LIBC_INLINE constexpr bool get_sign() const {
-    return bool((bits & SIGN_MASK) >> (BIT_WIDTH - 1));
+    return bool((bits & SIGN_MASK) >> (TOTAL_LEN - 1));
   }
 
   LIBC_INLINE constexpr FPBits() : bits(0) {}
@@ -100,21 +101,21 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
   template <typename XType,
             cpp::enable_if_t<cpp::is_same_v<long double, XType>, int> = 0>
   LIBC_INLINE constexpr explicit FPBits(XType x)
-      : bits(cpp::bit_cast<UIntType>(x)) {
+      : bits(cpp::bit_cast<StorageType>(x)) {
     // bits starts uninitialized, and setting it to a long double only
     // overwrites the first 80 bits. This clears those upper bits.
-    bits = bits & ((UIntType(1) << 80) - 1);
+    bits = bits & ((StorageType(1) << 80) - 1);
   }
 
   template <typename XType,
-            cpp::enable_if_t<cpp::is_same_v<XType, UIntType>, int> = 0>
+            cpp::enable_if_t<cpp::is_same_v<XType, StorageType>, int> = 0>
   LIBC_INLINE constexpr explicit FPBits(XType x) : bits(x) {}
 
   LIBC_INLINE constexpr operator long double() {
     return cpp::bit_cast<long double>(bits);
   }
 
-  LIBC_INLINE constexpr UIntType uintval() {
+  LIBC_INLINE constexpr StorageType uintval() {
     // We zero the padding bits as they can contain garbage.
     return bits & FP_MASK;
   }
@@ -124,7 +125,7 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
   }
 
   LIBC_INLINE constexpr int get_exponent() const {
-    return int(get_biased_exponent()) - EXPONENT_BIAS;
+    return int(get_biased_exponent()) - EXP_BIAS;
   }
 
   // If the number is subnormal, the exponent is treated as if it were the
@@ -138,9 +139,9 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
     if (is_zero()) {
       return 0;
     } else if (biased_exp == 0) {
-      return 1 - EXPONENT_BIAS;
+      return 1 - EXP_BIAS;
     } else {
-      return biased_exp - EXPONENT_BIAS;
+      return biased_exp - EXP_BIAS;
     }
   }
 
@@ -186,7 +187,7 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
 
   LIBC_INLINE static constexpr long double neg_inf() { return inf(true); }
 
-  LIBC_INLINE static constexpr long double build_nan(UIntType v) {
+  LIBC_INLINE static constexpr long double build_nan(StorageType v) {
     FPBits<long double> bits(0.0l);
     bits.set_biased_exponent(MAX_EXPONENT);
     bits.set_implicit_bit(1);
@@ -194,7 +195,7 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
     return bits;
   }
 
-  LIBC_INLINE static constexpr long double build_quiet_nan(UIntType v) {
+  LIBC_INLINE static constexpr long double build_quiet_nan(StorageType v) {
     return build_nan(QUIET_NAN_MASK | v);
   }
 
@@ -215,7 +216,7 @@ template <> struct FPBits<long double> : private FloatProperties<long double> {
   }
 
   LIBC_INLINE static constexpr FPBits<long double>
-  create_value(bool sign, UIntType biased_exp, UIntType mantissa) {
+  create_value(bool sign, StorageType biased_exp, StorageType mantissa) {
     FPBits<long double> result;
     result.set_sign(sign);
     result.set_biased_exponent(biased_exp);
diff --git a/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h b/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h
index 55788e5ae29440..b461da3a4c0abc 100644
--- a/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h
+++ b/libc/src/__support/FPUtil/x86_64/NextAfterLongDouble.h
@@ -43,10 +43,10 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
     from_bits.set_biased_exponent(1);
   }
 
-  using UIntType = FPBits::UIntType;
-  constexpr UIntType SIGN_VAL = (UIntType(1) << 79);
-  constexpr UIntType FRACTION_MASK = FPBits::FRACTION_MASK;
-  UIntType int_val = from_bits.uintval();
+  using StorageType = FPBits::StorageType;
+  constexpr StorageType SIGN_VAL = (StorageType(1) << 79);
+  constexpr StorageType FRACTION_MASK = FPBits::FRACTION_MASK;
+  StorageType int_val = from_bits.uintval();
   if (from < 0.0l) {
     if (from > to) {
       if (int_val == (SIGN_VAL + FPBits::MAX_SUBNORMAL)) {
@@ -116,8 +116,8 @@ LIBC_INLINE long double nextafter(long double from, long double to) {
     }
   }
 
-  UIntType implicit_bit = int_val & (UIntType(1) << FPBits::FRACTION_BITS);
-  if (implicit_bit == UIntType(0))
+  StorageType implicit_bit = int_val & (StorageType(1) << FPBits::FRACTION_LEN);
+  if (implicit_bit == StorageType(0))
     raise_except_if_required(FE_UNDERFLOW | FE_INEXACT);
 
   return cpp::bit_cast<long double>(int_val);
diff --git a/libc/src/__support/float_to_string.h b/libc/src/__support/float_to_string.h
index 36a9b8565650b9..923633e3d207f5 100644
--- a/libc/src/__support/float_to_string.h
+++ b/libc/src/__support/float_to_string.h
@@ -382,10 +382,10 @@ LIBC_INLINE uint32_t fast_uint_mod_1e9(const cpp::UInt<MID_INT_SIZE> &val) {
                                (1000000000 * shifted));
 }
 
-LIBC_INLINE uint32_t mul_shift_mod_1e9(const FloatProp::UIntType mantissa,
+LIBC_INLINE uint32_t mul_shift_mod_1e9(const FloatProp::StorageType mantissa,
                                        const cpp::UInt<MID_INT_SIZE> &large,
                                        const int32_t shift_amount) {
-  cpp::UInt<MID_INT_SIZE + FloatProp::UINTTYPE_BITS> val(large);
+  cpp::UInt<MID_INT_SIZE + FloatProp::STORAGE_LEN> val(large);
   val = (val * mantissa) >> shift_amount;
   return static_cast<uint32_t>(
       val.div_uint32_times_pow_2(1000000000, 0).value());
@@ -414,10 +414,10 @@ class FloatToString {
   fputil::FPBits<T> float_bits;
   bool is_negative;
   int exponent;
-  FloatProp::UIntType mantissa;
+  FloatProp::StorageType mantissa;
 
-  static constexpr int FRACTION_BITS = fputil::FPBits<T>::FRACTION_BITS;
-  static constexpr int EXP_BIAS = fputil::FPBits<T>::EXPONENT_BIAS;
+  static constexpr int FRACTION_LEN = fputil::FPBits<T>::FRACTION_LEN;
+  static constexpr int EXP_BIAS = fputil::FPBits<T>::EXP_BIAS;
 
 public:
   LIBC_INLINE constexpr FloatToString(T init_float) : float_bits(init_float) {
@@ -426,7 +426,7 @@ class FloatToString {
     mantissa = float_bits.get_explicit_mantissa();
 
     // Adjust for the width of the mantissa.
-    exponent -= FRACTION_BITS;
+    exponent -= FRACTION_LEN;
 
     // init_convert();
   }
@@ -440,7 +440,7 @@ class FloatToString {
   // get_block returns an integer that represents the digits in the requested
   // block.
   LIBC_INLINE constexpr BlockInt get_positive_block(int block_index) {
-    if (exponent >= -FRACTION_BITS) {
+    if (exponent >= -FRACTION_LEN) {
       // idx is ceil(exponent/16) or 0 if exponent is negative. This is used to
       // find the coarse section of the POW10_SPLIT table that will be used to
       // calculate the 9 digit window, as well as some other related values.
@@ -567,13 +567,13 @@ class FloatToString {
   }
 
   LIBC_INLINE constexpr size_t get_positive_blocks() {
-    if (exponent >= -FRACTION_BITS) {
+    if (exponent >= -FRACTION_LEN) {
       const uint32_t idx =
           exponent < 0
               ? 0
               : static_cast<uint32_t>(exponent + (IDX_SIZE - 1)) / IDX_SIZE;
       const uint32_t len =
-          internal::length_for_num(idx * IDX_SIZE, FRACTION_BITS);
+          internal::length_for_num(idx * IDX_SIZE, FRACTION_LEN);
       return len;
     } else {
       return 0;
@@ -609,13 +609,12 @@ class FloatToString {
 
 template <>
 LIBC_INLINE constexpr size_t FloatToString<long double>::get_positive_blocks() {
-  if (exponent >= -FRACTION_BITS) {
+  if (exponent >= -FRACTION_LEN) {
     const uint32_t idx =
         exponent < 0
             ? 0
             : static_cast<uint32_t>(exponent + (IDX_SIZE - 1)) / IDX_SIZE;
-    const uint32_t len =
-        internal::length_for_num(idx * IDX_SIZE, FRACTION_BITS);
+    const uint32_t len = internal::length_for_num(idx * IDX_SIZE, FRACTION_LEN);
     return len;
   } else {
     return 0;
@@ -641,7 +640,7 @@ LIBC_INLINE constexpr bool FloatToString<long double>::is_lowest_block(size_t) {
 template <>
 LIBC_INLINE constexpr BlockInt
 FloatToString<long double>::get_positive_block(int block_index) {
-  if (exponent >= -FRACTION_BITS) {
+  if (exponent >= -FRACTION_LEN) {
 
     // idx is ceil(exponent/16) or 0 if exponent is negative. This is used to
     // find the coarse section of the POW10_SPLIT table that will be used to
diff --git a/libc/src/__support/str_to_float.h b/libc/src/__support/str_to_float.h
index 41b658015c07f0..9984bcd7064d75 100644
--- a/libc/src/__support/str_to_float.h
+++ b/libc/src/__support/str_to_float.h
@@ -29,7 +29,7 @@ namespace LIBC_NAMESPACE {
 namespace internal {
 
 template <class T> struct ExpandedFloat {
-  typename fputil::FPBits<T>::UIntType mantissa;
+  typename fputil::FPBits<T>::StorageType mantissa;
   int32_t exponent;
 };
 
@@ -72,9 +72,9 @@ eisel_lemire(ExpandedFloat<T> init_num,
              RoundDirection round = RoundDirection::Nearest) {
   using FPBits = typename fputil::FPBits<T>;
   using FloatProp = typename fputil::FloatProperties<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
-  UIntType mantissa = init_num.mantissa;
+  StorageType mantissa = init_num.mantissa;
   int32_t exp10 = init_num.exponent;
 
   if (sizeof(T) > 8) { // This algorithm cannot handle anything longer than a
@@ -89,11 +89,11 @@ eisel_lemire(ExpandedFloat<T> init_num,
   }
 
   // Normalization
-  uint32_t clz = cpp::countl_zero<UIntType>(mantissa);
+  uint32_t clz = cpp::countl_zero<StorageType>(mantissa);
   mantissa <<= clz;
 
-  int32_t exp2 = exp10_to_exp2(exp10) + FloatProp::UINTTYPE_BITS +
-                 FloatProp::EXPONENT_BIAS - clz;
+  int32_t exp2 =
+      exp10_to_exp2(exp10) + FloatProp::STORAGE_LEN + FloatProp::EXP_BIAS - clz;
 
   // Multiplication
   const uint64_t *power_of_ten =
@@ -110,8 +110,8 @@ eisel_lemire(ExpandedFloat<T> init_num,
   // accuracy, and the most significant bit is ignored.) = 9 bits. Similarly,
   // it's 6 bits for floats in this case.
   const uint64_t halfway_constant =
-      (uint64_t(1) << (FloatProp::UINTTYPE_BITS -
-                       (FloatProp::FRACTION_BITS + 3))) -
+      (uint64_t(1) << (FloatProp::STORAGE_LEN -
+                       (FloatProp::FRACTION_LEN + 3))) -
       1;
   if ((high64(first_approx) & halfway_constant) == halfway_constant &&
       low64(first_approx) + mantissa < mantissa) {
@@ -131,11 +131,11 @@ eisel_lemire(ExpandedFloat<T> init_num,
   }
 
   // Shifting to 54 bits for doubles and 25 bits for floats
-  UIntType msb = static_cast<UIntType>(high64(final_approx) >>
-                                       (FloatProp::UINTTYPE_BITS - 1));
-  UIntType final_mantissa = static_cast<UIntType>(
+  StorageType msb = static_cast<StorageType>(high64(final_approx) >>
+                                             (FloatProp::STORAGE_LEN - 1));
+  StorageType final_mantissa = static_cast<StorageType>(
       high64(final_approx) >>
-      (msb + FloatProp::UINTTYPE_BITS - (FloatProp::FRACTION_BITS + 3)));
+      (msb + FloatProp::STORAGE_LEN - (FloatProp::FRACTION_LEN + 3)));
   exp2 -= static_cast<uint32_t>(1 ^ msb); // same as !msb
 
   if (round == RoundDirection::Nearest) {
@@ -161,14 +161,14 @@ eisel_lemire(ExpandedFloat<T> init_num,
 
   // From 54 to 53 bits for doubles and 25 to 24 bits for floats
   final_mantissa >>= 1;
-  if ((final_mantissa >> (FloatProp::FRACTION_BITS + 1)) > 0) {
+  if ((final_mantissa >> (FloatProp::FRACTION_LEN + 1)) > 0) {
     final_mantissa >>= 1;
     ++exp2;
   }
 
   // The if block is equivalent to (but has fewer branches than):
   //   if exp2 <= 0 || exp2 >= 0x7FF { etc }
-  if (static_cast<uint32_t>(exp2) - 1 >= (1 << FloatProp::EXPONENT_WIDTH) - 2) {
+  if (static_cast<uint32_t>(exp2) - 1 >= (1 << FloatProp::EXP_LEN) - 2) {
     return cpp::nullopt;
   }
 
@@ -185,9 +185,9 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
                           RoundDirection round) {
   using FPBits = typename fputil::FPBits<long double>;
   using FloatProp = typename fputil::FloatProperties<long double>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
-  UIntType mantissa = init_num.mantissa;
+  StorageType mantissa = init_num.mantissa;
   int32_t exp10 = init_num.exponent;
 
   // Exp10 Range
@@ -206,11 +206,11 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
   }
 
   // Normalization
-  uint32_t clz = cpp::countl_zero<UIntType>(mantissa);
+  uint32_t clz = cpp::countl_zero<StorageType>(mantissa);
   mantissa <<= clz;
 
-  int32_t exp2 = exp10_to_exp2(exp10) + FloatProp::UINTTYPE_BITS +
-                 FloatProp::EXPONENT_BIAS - clz;
+  int32_t exp2 =
+      exp10_to_exp2(exp10) + FloatProp::STORAGE_LEN + FloatProp::EXP_BIAS - clz;
 
   // Multiplication
   const uint64_t *power_of_ten =
@@ -247,8 +247,7 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
   // accuracy, and the most significant bit is ignored.) = 61 bits. Similarly,
   // it's 12 bits for 128 bit floats in this case.
   constexpr UInt128 HALFWAY_CONSTANT =
-      (UInt128(1) << (FloatProp::UINTTYPE_BITS -
-                      (FloatProp::FRACTION_BITS + 3))) -
+      (UInt128(1) << (FloatProp::STORAGE_LEN - (FloatProp::FRACTION_LEN + 3))) -
       1;
 
   if ((final_approx_upper & HALFWAY_CONSTANT) == HALFWAY_CONSTANT &&
@@ -257,11 +256,11 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
   }
 
   // Shifting to 65 bits for 80 bit floats and 113 bits for 128 bit floats
-  uint32_t msb = static_cast<uint32_t>(final_approx_upper >>
-                                       (FloatProp::UINTTYPE_BITS - 1));
-  UIntType final_mantissa =
+  uint32_t msb =
+      static_cast<uint32_t>(final_approx_upper >> (FloatProp::STORAGE_LEN - 1));
+  StorageType final_mantissa =
       final_approx_upper >>
-      (msb + FloatProp::UINTTYPE_BITS - (FloatProp::FRACTION_BITS + 3));
+      (msb + FloatProp::STORAGE_LEN - (FloatProp::FRACTION_LEN + 3));
   exp2 -= static_cast<uint32_t>(1 ^ msb); // same as !msb
 
   if (round == RoundDirection::Nearest) {
@@ -286,14 +285,14 @@ eisel_lemire<long double>(ExpandedFloat<long double> init_num,
   // From 65 to 64 bits for 80 bit floats and 113  to 112 bits for 128 bit
   // floats
   final_mantissa >>= 1;
-  if ((final_mantissa >> (FloatProp::FRACTION_BITS + 1)) > 0) {
+  if ((final_mantissa >> (FloatProp::FRACTION_LEN + 1)) > 0) {
     final_mantissa >>= 1;
     ++exp2;
   }
 
   // The if block is equivalent to (but has fewer branches than):
   //   if exp2 <= 0 || exp2 >= MANTISSA_MAX { etc }
-  if (exp2 - 1 >= (1 << FloatProp::EXPONENT_WIDTH) - 2) {
+  if (exp2 - 1 >= (1 << FloatProp::EXP_LEN) - 2) {
     return cpp::nullopt;
   }
 
@@ -323,7 +322,7 @@ simple_decimal_conversion(const char *__restrict numStart,
                           RoundDirection round = RoundDirection::Nearest) {
   using FPBits = typename fputil::FPBits<T>;
   using FloatProp = typename fputil::FloatProperties<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   int32_t exp2 = 0;
   HighPrecisionDecimal hpd = HighPrecisionDecimal(numStart);
@@ -338,7 +337,7 @@ simple_decimal_conversion(const char *__restrict numStart,
   // If the exponent is too large and can't be represented in this size of
   // float, return inf.
   if (hpd.get_decimal_point() > 0 &&
-      exp10_to_exp2(hpd.get_decimal_point() - 1) > FloatProp::EXPONENT_BIAS) {
+      exp10_to_exp2(hpd.get_decimal_point() - 1) > FloatProp::EXP_BIAS) {
     output.num = {0, fputil::FPBits<T>::MAX_EXPONENT};
     output.error = ERANGE;
     return output;
@@ -346,8 +345,8 @@ simple_decimal_conversion(const char *__restrict numStart,
   // If the exponent is too small even for a subnormal, return 0.
   if (hpd.get_decimal_point() < 0 &&
       exp10_to_exp2(-hpd.get_decimal_point()) >
-          (FloatProp::EXPONENT_BIAS +
-           static_cast<int32_t>(FloatProp::FRACTION_BITS))) {
+          (FloatProp::EXP_BIAS +
+           static_cast<int32_t>(FloatProp::FRACTION_LEN))) {
     output.num = {0, 0};
     output.error = ERANGE;
     return output;
@@ -386,7 +385,7 @@ simple_decimal_conversion(const char *__restrict numStart,
   hpd.shift(1);
 
   // Get the biased exponent
-  exp2 += FloatProp::EXPONENT_BIAS;
+  exp2 += FloatProp::EXP_BIAS;
 
   // Handle the exponent being too large (and return inf).
   if (exp2 >= FPBits::MAX_EXPONENT) {
@@ -396,8 +395,8 @@ simple_decimal_conversion(const char *__restrict numStart,
   }
 
   // Shift left to fill the mantissa
-  hpd.shift(FloatProp::FRACTION_BITS);
-  UIntType final_mantissa = hpd.round_to_integer_type<UIntType>();
+  hpd.shift(FloatProp::FRACTION_LEN);
+  StorageType final_mantissa = hpd.round_to_integer_type<StorageType>();
 
   // Handle subnormals
   if (exp2 <= 0) {
@@ -409,16 +408,16 @@ simple_decimal_conversion(const char *__restrict numStart,
     // Shift right one more time to compensate for the left shift to get it
     // between 1 and 2.
     hpd.shift(-1);
-    final_mantissa = hpd.round_to_integer_type<UIntType>(round);
+    final_mantissa = hpd.round_to_integer_type<StorageType>(round);
 
     // Check if by shifting right we've caused this to round to a normal number.
-    if ((final_mantissa >> FloatProp::FRACTION_BITS) != 0) {
+    if ((final_mantissa >> FloatProp::FRACTION_LEN) != 0) {
       ++exp2;
     }
   }
 
   // Check if rounding added a bit, and shift down if that's the case.
-  if (final_mantissa == UIntType(2) << FloatProp::FRACTION_BITS) {
+  if (final_mantissa == StorageType(2) << FloatProp::FRACTION_LEN) {
     final_mantissa >>= 1;
     ++exp2;
 
@@ -517,18 +516,18 @@ clinger_fast_path(ExpandedFloat<T> init_num,
                   RoundDirection round = RoundDirection::Nearest) {
   using FPBits = typename fputil::FPBits<T>;
   using FloatProp = typename fputil::FloatProperties<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
-  UIntType mantissa = init_num.mantissa;
+  StorageType mantissa = init_num.mantissa;
   int32_t exp10 = init_num.exponent;
 
-  if ((mantissa >> FloatProp::FRACTION_BITS) > 0) {
+  if ((mantissa >> FloatProp::FRACTION_LEN) > 0) {
     return cpp::nullopt;
   }
 
   FPBits result;
   T float_mantissa;
-  if constexpr (cpp::is_same_v<UIntType, cpp::UInt<128>>) {
+  if constexpr (cpp::is_same_v<StorageType, cpp::UInt<128>>) {
     float_mantissa = static_cast<T>(fputil::DyadicFloat<128>(
         false, 0,
         fputil::DyadicFloat<128>::MantissaType(
@@ -606,7 +605,7 @@ clinger_fast_path(ExpandedFloat<T> init_num,
 // log10(2^(exponent bias)).
 // The generic approximation uses the fact that log10(2^x) ~= x/3
 template <typename T> constexpr int32_t get_upper_bound() {
-  return fputil::FloatProperties<T>::EXPONENT_BIAS / 3;
+  return fputil::FloatProperties<T>::EXP_BIAS / 3;
 }
 
 template <> constexpr int32_t get_upper_bound<float>() { return 39; }
@@ -623,10 +622,10 @@ template <> constexpr int32_t get_upper_bound<double>() { return 309; }
 // end of the final mantissa.
 template <typename T> constexpr int32_t get_lower_bound() {
   using FloatProp = typename fputil::FloatProperties<T>;
-  return -((FloatProp::EXPONENT_BIAS +
-            static_cast<int32_t>(FloatProp::FRACTION_BITS +
-                                 FloatProp::UINTTYPE_BITS)) /
-           3);
+  return -(
+      (FloatProp::EXP_BIAS +
+       static_cast<int32_t>(FloatProp::FRACTION_LEN + FloatProp::STORAGE_LEN)) /
+      3);
 }
 
 template <> constexpr int32_t get_lower_bound<float>() {
@@ -647,9 +646,9 @@ LIBC_INLINE FloatConvertReturn<T>
 decimal_exp_to_float(ExpandedFloat<T> init_num, const char *__restrict numStart,
                      bool truncated, RoundDirection round) {
   using FPBits = typename fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
-  UIntType mantissa = init_num.mantissa;
+  StorageType mantissa = init_num.mantissa;
   int32_t exp10 = init_num.exponent;
 
   FloatConvertReturn<T> output;
@@ -725,45 +724,46 @@ LIBC_INLINE FloatConvertReturn<T> binary_exp_to_float(ExpandedFloat<T> init_num,
                                                       RoundDirection round) {
   using FPBits = typename fputil::FPBits<T>;
   using FloatProp = typename fputil::FloatProperties<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
-  UIntType mantissa = init_num.mantissa;
+  StorageType mantissa = init_num.mantissa;
   int32_t exp2 = init_num.exponent;
 
   FloatConvertReturn<T> output;
 
   // This is the number of leading zeroes a properly normalized float of type T
   // should have.
-  constexpr int32_t INF_EXP = (1 << FloatProp::EXPONENT_WIDTH) - 1;
+  constexpr int32_t INF_EXP = (1 << FloatProp::EXP_LEN) - 1;
 
-  // Normalization step 1: Bring the leading bit to the highest bit of UIntType.
-  uint32_t amount_to_shift_left = cpp::countl_zero<UIntType>(mantissa);
+  // Normalization step 1: Bring the leading bit to the highest bit of
+  // StorageType.
+  uint32_t amount_to_shift_left = cpp::countl_zero<StorageType>(mantissa);
   mantissa <<= amount_to_shift_left;
 
-  // Keep exp2 representing the exponent of the lowest bit of UIntType.
+  // Keep exp2 representing the exponent of the lowest bit of StorageType.
   exp2 -= amount_to_shift_left;
 
   // biased_exponent represents the biased exponent of the most significant bit.
   int32_t biased_exponent =
-      exp2 + FloatProp::UINTTYPE_BITS + FPBits::EXPONENT_BIAS - 1;
+      exp2 + FloatProp::STORAGE_LEN + FPBits::EXP_BIAS - 1;
 
   // Handle numbers that're too large and get squashed to inf
   if (biased_exponent >= INF_EXP) {
     // This indicates an overflow, so we make the result INF and set errno.
-    output.num = {0, (1 << FloatProp::EXPONENT_WIDTH) - 1};
+    output.num = {0, (1 << FloatProp::EXP_LEN) - 1};
     output.error = ERANGE;
     return output;
   }
 
   uint32_t amount_to_shift_right =
-      FloatProp::UINTTYPE_BITS - FloatProp::FRACTION_BITS - 1;
+      FloatProp::STORAGE_LEN - FloatProp::FRACTION_LEN - 1;
 
   // Handle subnormals.
   if (biased_exponent <= 0) {
     amount_to_shift_right += 1 - biased_exponent;
     biased_exponent = 0;
 
-    if (amount_to_shift_right > FloatProp::UINTTYPE_BITS) {
+    if (amount_to_shift_right > FloatProp::STORAGE_LEN) {
       // Return 0 if the exponent is too small.
       output.num = {0, 0};
       output.error = ERANGE;
@@ -771,19 +771,19 @@ LIBC_INLINE FloatConvertReturn<T> binary_exp_to_float(ExpandedFloat<T> init_num,
     }
   }
 
-  UIntType round_bit_mask = UIntType(1) << (amount_to_shift_right - 1);
-  UIntType sticky_mask = round_bit_mask - 1;
+  StorageType round_bit_mask = StorageType(1) << (amount_to_shift_right - 1);
+  StorageType sticky_mask = round_bit_mask - 1;
   bool round_bit = static_cast<bool>(mantissa & round_bit_mask);
   bool sticky_bit = static_cast<bool>(mantissa & sticky_mask) || truncated;
 
-  if (amount_to_shift_right < FloatProp::UINTTYPE_BITS) {
+  if (amount_to_shift_right < FloatProp::STORAGE_LEN) {
     // Shift the mantissa and clear the implicit bit.
     mantissa >>= amount_to_shift_right;
     mantissa &= FloatProp::FRACTION_MASK;
   } else {
     mantissa = 0;
   }
-  bool least_significant_bit = static_cast<bool>(mantissa & UIntType(1));
+  bool least_significant_bit = static_cast<bool>(mantissa & StorageType(1));
 
   // TODO: check that this rounding behavior is correct.
 
@@ -844,7 +844,7 @@ LIBC_INLINE StrToNumResult<ExpandedFloat<T>>
 decimal_string_to_float(const char *__restrict src, const char DECIMAL_POINT,
                         RoundDirection round) {
   using FPBits = typename fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   constexpr uint32_t BASE = 10;
   constexpr char EXPONENT_MARKER = 'e';
@@ -852,7 +852,7 @@ decimal_string_to_float(const char *__restrict src, const char DECIMAL_POINT,
   bool truncated = false;
   bool seen_digit = false;
   bool after_decimal = false;
-  UIntType mantissa = 0;
+  StorageType mantissa = 0;
   int32_t exponent = 0;
 
   size_t index = 0;
@@ -863,8 +863,8 @@ decimal_string_to_float(const char *__restrict src, const char DECIMAL_POINT,
   // the format mantissa * (base ^ exponent)
 
   // The loop fills the mantissa with as many digits as it can hold
-  const UIntType bitstype_max_div_by_base =
-      cpp::numeric_limits<UIntType>::max() / BASE;
+  const StorageType bitstype_max_div_by_base =
+      cpp::numeric_limits<StorageType>::max() / BASE;
   while (true) {
     if (isdigit(src[index])) {
       uint32_t digit = src[index] - '0';
@@ -953,7 +953,7 @@ LIBC_INLINE StrToNumResult<ExpandedFloat<T>>
 hexadecimal_string_to_float(const char *__restrict src,
                             const char DECIMAL_POINT, RoundDirection round) {
   using FPBits = typename fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   constexpr uint32_t BASE = 16;
   constexpr char EXPONENT_MARKER = 'p';
@@ -961,7 +961,7 @@ hexadecimal_string_to_float(const char *__restrict src,
   bool truncated = false;
   bool seen_digit = false;
   bool after_decimal = false;
-  UIntType mantissa = 0;
+  StorageType mantissa = 0;
   int32_t exponent = 0;
 
   size_t index = 0;
@@ -972,8 +972,8 @@ hexadecimal_string_to_float(const char *__restrict src,
   // the format mantissa * (base ^ exponent)
 
   // The loop fills the mantissa with as many digits as it can hold
-  const UIntType bitstype_max_div_by_base =
-      cpp::numeric_limits<UIntType>::max() / BASE;
+  const StorageType bitstype_max_div_by_base =
+      cpp::numeric_limits<StorageType>::max() / BASE;
   while (true) {
     if (isalnum(src[index])) {
       uint32_t digit = b36_char_to_int(src[index]);
@@ -1060,7 +1060,7 @@ hexadecimal_string_to_float(const char *__restrict src,
 template <class T>
 LIBC_INLINE StrToNumResult<T> strtofloatingpoint(const char *__restrict src) {
   using FPBits = typename fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   FPBits result = FPBits();
   bool seen_digit = false;
@@ -1134,7 +1134,7 @@ LIBC_INLINE StrToNumResult<T> strtofloatingpoint(const char *__restrict src) {
         tolower(src[index + 2]) == nan_string[2]) {
       seen_digit = true;
       index += 3;
-      UIntType nan_mantissa = 0;
+      StorageType nan_mantissa = 0;
       // this handles the case of `NaN(n-character-sequence)`, where the
       // n-character-sequence is made of 0 or more letters and numbers in any
       // order.
@@ -1148,10 +1148,10 @@ LIBC_INLINE StrToNumResult<T> strtofloatingpoint(const char *__restrict src) {
         if (src[index] == ')') {
           ++index;
           if (isdigit(src[left_paren + 1])) {
-            // This is to prevent errors when UIntType is larger than 64 bits,
-            // since strtointeger only supports up to 64 bits. This is actually
-            // more than is required by the specification, which says for the
-            // input type "NAN(n-char-sequence)" that "the meaning of
+            // This is to prevent errors when StorageType is larger than 64
+            // bits, since strtointeger only supports up to 64 bits. This is
+            // actually more than is required by the specification, which says
+            // for the input type "NAN(n-char-sequence)" that "the meaning of
             // the n-char sequence is implementation-defined."
 
             auto strtoint_result =
@@ -1159,7 +1159,7 @@ LIBC_INLINE StrToNumResult<T> strtofloatingpoint(const char *__restrict src) {
             if (strtoint_result.has_error()) {
               error = strtoint_result.error;
             }
-            nan_mantissa = static_cast<UIntType>(strtoint_result.value);
+            nan_mantissa = static_cast<StorageType>(strtoint_result.value);
             if (src[left_paren + 1 + strtoint_result.parsed_len] != ')')
               nan_mantissa = 0;
           }
diff --git a/libc/src/math/generic/erff.cpp b/libc/src/math/generic/erff.cpp
index bbf0d0423b799f..333ca197dbedb5 100644
--- a/libc/src/math/generic/erff.cpp
+++ b/libc/src/math/generic/erff.cpp
@@ -154,7 +154,7 @@ LLVM_LIBC_FUNCTION(float, erff, (float x)) {
   double xd = static_cast<double>(x);
   double xsq = xd * xd;
 
-  const uint32_t EIGHT = 3 << FPBits::FRACTION_BITS;
+  const uint32_t EIGHT = 3 << FPBits::FRACTION_LEN;
   int idx = static_cast<int>(FPBits(x_abs + EIGHT).get_val());
 
   double x4 = xsq * xsq;
diff --git a/libc/src/math/generic/exp.cpp b/libc/src/math/generic/exp.cpp
index 5f0b724abe9ba1..ebfd14dd6cc166 100644
--- a/libc/src/math/generic/exp.cpp
+++ b/libc/src/math/generic/exp.cpp
@@ -382,7 +382,7 @@ LLVM_LIBC_FUNCTION(double, exp, (double x)) {
     if (LIBC_LIKELY(upper == lower)) {
       // to multiply by 2^hi, a fast way is to simply add hi to the exponent
       // field.
-      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
       double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
       return r;
     }
@@ -400,7 +400,7 @@ LLVM_LIBC_FUNCTION(double, exp, (double x)) {
     double lower_dd = r_dd.hi + (r_dd.lo - ERR_DD);
 
     if (LIBC_LIKELY(upper_dd == lower_dd)) {
-      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+      int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
       double r =
           cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
       return r;
diff --git a/libc/src/math/generic/exp10.cpp b/libc/src/math/generic/exp10.cpp
index 5b2c55c73a068f..4e1babcee541bd 100644
--- a/libc/src/math/generic/exp10.cpp
+++ b/libc/src/math/generic/exp10.cpp
@@ -395,7 +395,7 @@ LLVM_LIBC_FUNCTION(double, exp10, (double x)) {
   if (LIBC_LIKELY(upper == lower)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
     return r;
   }
@@ -462,7 +462,7 @@ LLVM_LIBC_FUNCTION(double, exp10, (double x)) {
   if (LIBC_LIKELY(upper_dd == lower_dd)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
     return r;
   }
diff --git a/libc/src/math/generic/exp2.cpp b/libc/src/math/generic/exp2.cpp
index 6c707de076d0ad..07691ca0e7b62a 100644
--- a/libc/src/math/generic/exp2.cpp
+++ b/libc/src/math/generic/exp2.cpp
@@ -362,7 +362,7 @@ LLVM_LIBC_FUNCTION(double, exp2, (double x)) {
   if (LIBC_LIKELY(upper == lower)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
     return r;
   }
@@ -376,7 +376,7 @@ LLVM_LIBC_FUNCTION(double, exp2, (double x)) {
   if (LIBC_LIKELY(upper_dd == lower_dd)) {
     // To multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
     return r;
   }
diff --git a/libc/src/math/generic/exp2f_impl.h b/libc/src/math/generic/exp2f_impl.h
index 9bb5c7362d3e8f..1d86e4d08770ca 100644
--- a/libc/src/math/generic/exp2f_impl.h
+++ b/libc/src/math/generic/exp2f_impl.h
@@ -137,7 +137,7 @@ LIBC_INLINE float exp2f(float x) {
   // exp_hi = shift hi to the exponent field of double precision.
   int64_t exp_hi =
       static_cast<int64_t>(static_cast<uint64_t>(k >> ExpBase::MID_BITS)
-                           << fputil::FloatProperties<double>::FRACTION_BITS);
+                           << fputil::FloatProperties<double>::FRACTION_LEN);
   // mh = 2^hi * 2^mid
   // mh_bits = bit field of mh
   int64_t mh_bits = ExpBase::EXP_2_MID[k & ExpBase::MID_MASK] + exp_hi;
diff --git a/libc/src/math/generic/explogxf.h b/libc/src/math/generic/explogxf.h
index 92bd66af92c89c..705bf9f5db1cb8 100644
--- a/libc/src/math/generic/explogxf.h
+++ b/libc/src/math/generic/explogxf.h
@@ -162,7 +162,7 @@ template <class Base> LIBC_INLINE exp_b_reduc_t exp_b_range_reduc(float x) {
   // hi = floor(kd * 2^(-MID_BITS))
   // exp_hi = shift hi to the exponent field of double precision.
   int64_t exp_hi = static_cast<int64_t>((k >> Base::MID_BITS))
-                   << fputil::FloatProperties<double>::FRACTION_BITS;
+                   << fputil::FloatProperties<double>::FRACTION_LEN;
   // mh = 2^hi * 2^mid
   // mh_bits = bit field of mh
   int64_t mh_bits = Base::EXP_2_MID[k & Base::MID_MASK] + exp_hi;
@@ -235,9 +235,9 @@ template <bool is_sinh> LIBC_INLINE double exp_pm_eval(float x) {
   // hi = floor(kf * 2^(-5))
   // exp_hi = shift hi to the exponent field of double precision.
   int64_t exp_hi_p = static_cast<int64_t>((k_p >> ExpBase::MID_BITS))
-                     << fputil::FloatProperties<double>::FRACTION_BITS;
+                     << fputil::FloatProperties<double>::FRACTION_LEN;
   int64_t exp_hi_m = static_cast<int64_t>((k_m >> ExpBase::MID_BITS))
-                     << fputil::FloatProperties<double>::FRACTION_BITS;
+                     << fputil::FloatProperties<double>::FRACTION_LEN;
   // mh_p = 2^(hi + mid)
   // mh_m = 2^(-(hi + mid))
   // mh_bits_* = bit field of mh_*
@@ -280,11 +280,11 @@ LIBC_INLINE static double log2_eval(double x) {
   double result = 0;
   result += bs.get_exponent();
 
-  int p1 = (bs.get_mantissa() >> (FPB::FRACTION_BITS - LOG_P1_BITS)) &
+  int p1 = (bs.get_mantissa() >> (FPB::FRACTION_LEN - LOG_P1_BITS)) &
            (LOG_P1_SIZE - 1);
 
   bs.bits &= FPB::FRACTION_MASK >> LOG_P1_BITS;
-  bs.set_biased_exponent(FPB::EXPONENT_BIAS);
+  bs.set_biased_exponent(FPB::EXP_BIAS);
   double dx = (bs.get_val() - 1.0) * LOG_P1_1_OVER[p1];
 
   // Taylor series for log(2,1+x)
@@ -310,11 +310,11 @@ LIBC_INLINE static double log_eval(double x) {
 
   // p1 is the leading 7 bits of mx, i.e.
   // p1 * 2^(-7) <= m_x < (p1 + 1) * 2^(-7).
-  int p1 = static_cast<int>(bs.get_mantissa() >> (FPB::FRACTION_BITS - 7));
+  int p1 = static_cast<int>(bs.get_mantissa() >> (FPB::FRACTION_LEN - 7));
 
   // Set bs to (1 + (mx - p1*2^(-7))
   bs.bits &= FPB::FRACTION_MASK >> 7;
-  bs.set_biased_exponent(FPB::EXPONENT_BIAS);
+  bs.set_biased_exponent(FPB::EXP_BIAS);
   // dx = (mx - p1*2^(-7)) / (1 + p1*2^(-7)).
   double dx = (bs.get_val() - 1.0) * ONE_OVER_F[p1];
 
@@ -345,7 +345,7 @@ LIBC_INLINE cpp::optional<double> ziv_test_denorm(int hi, double mid, double lo,
   using FloatProp = typename fputil::FloatProperties<double>;
 
   // Scaling factor = 1/(min normal number) = 2^1022
-  int64_t exp_hi = static_cast<int64_t>(hi + 1022) << FloatProp::FRACTION_BITS;
+  int64_t exp_hi = static_cast<int64_t>(hi + 1022) << FloatProp::FRACTION_LEN;
   double mid_hi = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(mid));
   double lo_scaled =
       (lo != 0.0) ? cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(lo))
diff --git a/libc/src/math/generic/expm1.cpp b/libc/src/math/generic/expm1.cpp
index 634caa56cb0ffd..a0d47f00828ce4 100644
--- a/libc/src/math/generic/expm1.cpp
+++ b/libc/src/math/generic/expm1.cpp
@@ -390,7 +390,7 @@ LLVM_LIBC_FUNCTION(double, expm1, (double x)) {
 
   // -2^(-hi)
   double one_scaled =
-      FPBits::create_value(true, FPBits::EXPONENT_BIAS - hi, 0).get_val();
+      FPBits::create_value(true, FPBits::EXP_BIAS - hi, 0).get_val();
 
   // 2^(mid1 + mid2) - 2^(-hi)
   DoubleDouble hi_part = x_sign ? fputil::exact_add(one_scaled, exp_mid.hi)
@@ -465,7 +465,7 @@ LLVM_LIBC_FUNCTION(double, expm1, (double x)) {
   if (LIBC_LIKELY(upper == lower)) {
     // to multiply by 2^hi, a fast way is to simply add hi to the exponent
     // field.
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper));
     return r;
   }
@@ -479,7 +479,7 @@ LLVM_LIBC_FUNCTION(double, expm1, (double x)) {
   double lower_dd = r_dd.hi + (r_dd.lo - err_dd);
 
   if (LIBC_LIKELY(upper_dd == lower_dd)) {
-    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_BITS;
+    int64_t exp_hi = static_cast<int64_t>(hi) << FloatProp::FRACTION_LEN;
     double r = cpp::bit_cast<double>(exp_hi + cpp::bit_cast<int64_t>(upper_dd));
     return r;
   }
diff --git a/libc/src/math/generic/hypotf.cpp b/libc/src/math/generic/hypotf.cpp
index ec7e95961790b1..93dd4feb36bee6 100644
--- a/libc/src/math/generic/hypotf.cpp
+++ b/libc/src/math/generic/hypotf.cpp
@@ -23,7 +23,7 @@ LLVM_LIBC_FUNCTION(float, hypotf, (float x, float y)) {
   uint16_t y_exp = y_bits.get_biased_exponent();
   uint16_t exp_diff = (x_exp > y_exp) ? (x_exp - y_exp) : (y_exp - x_exp);
 
-  if (exp_diff >= FPBits::FRACTION_BITS + 2) {
+  if (exp_diff >= FPBits::FRACTION_LEN + 2) {
     return fputil::abs(x) + fputil::abs(y);
   }
 
diff --git a/libc/src/math/generic/inv_trigf_utils.h b/libc/src/math/generic/inv_trigf_utils.h
index 2ecd033ecbed6d..588ebbfa71aeb0 100644
--- a/libc/src/math/generic/inv_trigf_utils.h
+++ b/libc/src/math/generic/inv_trigf_utils.h
@@ -40,13 +40,12 @@ LIBC_INLINE double atan_eval(double x) {
   using FPB = fputil::FPBits<double>;
   // Added some small value to umin and umax mantissa to avoid possible rounding
   // errors.
-  FPB::UIntType umin =
-      FPB::create_value(false, FPB::EXPONENT_BIAS - ATAN_T_BITS - 1,
+  FPB::StorageType umin =
+      FPB::create_value(false, FPB::EXP_BIAS - ATAN_T_BITS - 1,
                         0x100000000000UL)
           .uintval();
-  FPB::UIntType umax =
-      FPB::create_value(false, FPB::EXPONENT_BIAS + ATAN_T_BITS,
-                        0xF000000000000UL)
+  FPB::StorageType umax =
+      FPB::create_value(false, FPB::EXP_BIAS + ATAN_T_BITS, 0xF000000000000UL)
           .uintval();
 
   FPB bs(x);
diff --git a/libc/src/math/generic/log.cpp b/libc/src/math/generic/log.cpp
index dfa41ad64578d3..f82683bcc05544 100644
--- a/libc/src/math/generic/log.cpp
+++ b/libc/src/math/generic/log.cpp
@@ -734,7 +734,7 @@ LLVM_LIBC_FUNCTION(double, log, (double x)) {
   FPBits_t xbits(x);
   uint64_t x_u = xbits.uintval();
 
-  int x_e = -FPBits_t::EXPONENT_BIAS;
+  int x_e = -FPBits_t::EXP_BIAS;
 
   if (LIBC_UNLIKELY(x_u == 0x3FF0'0000'0000'0000ULL)) {
     // log(1.0) = +0.0
diff --git a/libc/src/math/generic/log10.cpp b/libc/src/math/generic/log10.cpp
index 2a801c6e98429a..d2b94f22687fb8 100644
--- a/libc/src/math/generic/log10.cpp
+++ b/libc/src/math/generic/log10.cpp
@@ -735,7 +735,7 @@ LLVM_LIBC_FUNCTION(double, log10, (double x)) {
   FPBits_t xbits(x);
   uint64_t x_u = xbits.uintval();
 
-  int x_e = -FPBits_t::EXPONENT_BIAS;
+  int x_e = -FPBits_t::EXP_BIAS;
 
   if (LIBC_UNLIKELY(x_u == 0x3FF0'0000'0000'0000ULL)) {
     // log10(1.0) = +0.0
diff --git a/libc/src/math/generic/log10f.cpp b/libc/src/math/generic/log10f.cpp
index 927af35c98f28b..b70183958899cc 100644
--- a/libc/src/math/generic/log10f.cpp
+++ b/libc/src/math/generic/log10f.cpp
@@ -158,7 +158,7 @@ LLVM_LIBC_FUNCTION(float, log10f, (float x)) {
     }
   }
 
-  int m = -FPBits::EXPONENT_BIAS;
+  int m = -FPBits::EXP_BIAS;
 
   if (LIBC_UNLIKELY(x_u < FPBits::MIN_NORMAL || x_u > FPBits::MAX_NORMAL)) {
     if (xbits.is_zero()) {
diff --git a/libc/src/math/generic/log1p.cpp b/libc/src/math/generic/log1p.cpp
index 2fc5bc7c71e3a4..74eed6ceeb28dc 100644
--- a/libc/src/math/generic/log1p.cpp
+++ b/libc/src/math/generic/log1p.cpp
@@ -872,8 +872,8 @@ LIBC_INLINE double log1p_accurate(int e_x, int index,
 
 LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   using FPBits_t = typename fputil::FPBits<double>;
-  constexpr int EXPONENT_BIAS = FPBits_t::EXPONENT_BIAS;
-  constexpr int FRACTION_BITS = FPBits_t::FRACTION_BITS;
+  constexpr int EXP_BIAS = FPBits_t::EXP_BIAS;
+  constexpr int FRACTION_LEN = FPBits_t::FRACTION_LEN;
   constexpr uint64_t FRACTION_MASK = FPBits_t::FRACTION_MASK;
   FPBits_t xbits(x);
   uint64_t x_u = xbits.uintval();
@@ -882,7 +882,7 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
 
   uint16_t x_exp = xbits.get_biased_exponent();
 
-  if (x_exp >= EXPONENT_BIAS) {
+  if (x_exp >= EXP_BIAS) {
     // |x| >= 1
     if (LIBC_UNLIKELY(x_u >= 0x4650'0000'0000'0000ULL)) {
       // x >= 2^102 or x is negative, inf, or NaN
@@ -910,7 +910,7 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   } else {
     // |x| < 1
     if (LIBC_UNLIKELY(xbits.get_biased_exponent() <
-                      EXPONENT_BIAS - FRACTION_BITS - 1)) {
+                      EXP_BIAS - FRACTION_LEN - 1)) {
       // Quick return when |x| < 2^-53.
       // Since log(1 + x) = x - x^2/2 + x^3/3 - ...,
       // for |x| < 2^-53,
@@ -949,9 +949,9 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   x_u = xhi_bits.uintval();
   // Range reduction:
   // Find k such that |x_hi - k * 2^-7| <= 2^-8.
-  int idx = static_cast<int>(
-      ((x_u & FRACTION_MASK) + (1ULL << (FRACTION_BITS - 8))) >>
-      (FRACTION_BITS - 7));
+  int idx =
+      static_cast<int>(((x_u & FRACTION_MASK) + (1ULL << (FRACTION_LEN - 8))) >>
+                       (FRACTION_LEN - 7));
   int x_e = xhi_bits.get_exponent() + (idx >> 7);
   double e_x = static_cast<double>(x_e);
 
@@ -967,8 +967,8 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   double err_hi = ERR_HI[hi == 0.0];
 
   // Scaling factior = 2^(-xh_bits.get_exponent())
-  uint64_t s_u = (static_cast<uint64_t>(EXPONENT_BIAS) << (FRACTION_BITS + 1)) -
-                 (x_u & FPBits_t::EXPONENT_MASK);
+  uint64_t s_u = (static_cast<uint64_t>(EXP_BIAS) << (FRACTION_LEN + 1)) -
+                 (x_u & FPBits_t::EXP_MASK);
   // When the exponent of x is 2^1023, its inverse, 2^(-1023), is subnormal.
   const double EXPONENT_CORRECTION[2] = {0.0, 0x1.0p-1023};
   double scaling = FPBits_t(s_u).get_val() + EXPONENT_CORRECTION[s_u == 0];
@@ -998,7 +998,7 @@ LLVM_LIBC_FUNCTION(double, log1p, (double x)) {
   v_hi = fputil::multiply_add(r, m_dd.hi, -1.0); // Exact.
 #else
   // c = 1 + idx * 2^-7.
-  double c = FPBits_t((static_cast<uint64_t>(idx) << (FRACTION_BITS - 7)) +
+  double c = FPBits_t((static_cast<uint64_t>(idx) << (FRACTION_LEN - 7)) +
                       uint64_t(0x3FF0'0000'0000'0000ULL))
                  .get_val();
   v_hi = fputil::multiply_add(r, m_dd.hi - c, RCM1[idx]); // Exact
diff --git a/libc/src/math/generic/log1pf.cpp b/libc/src/math/generic/log1pf.cpp
index 8078aaf490cc2f..891700d5ed08c8 100644
--- a/libc/src/math/generic/log1pf.cpp
+++ b/libc/src/math/generic/log1pf.cpp
@@ -57,7 +57,7 @@ LIBC_INLINE float log(double x) {
   // Get the 8 highest bits, use 7 bits (excluding the implicit hidden bit) for
   // lookup tables.
   int f_index = static_cast<int>(xbits.get_mantissa() >>
-                                 (fputil::FPBits<double>::FRACTION_BITS - 7));
+                                 (fputil::FPBits<double>::FRACTION_LEN - 7));
 
   // Set bits to 1.m
   xbits.set_biased_exponent(0x3FF);
diff --git a/libc/src/math/generic/log2.cpp b/libc/src/math/generic/log2.cpp
index 2ceddf87dfd560..a333a075fe5aff 100644
--- a/libc/src/math/generic/log2.cpp
+++ b/libc/src/math/generic/log2.cpp
@@ -856,7 +856,7 @@ LLVM_LIBC_FUNCTION(double, log2, (double x)) {
   FPBits_t xbits(x);
   uint64_t x_u = xbits.uintval();
 
-  int x_e = -FPBits_t::EXPONENT_BIAS;
+  int x_e = -FPBits_t::EXP_BIAS;
 
   if (LIBC_UNLIKELY(x_u == 0x3FF0'0000'0000'0000ULL)) {
     // log2(1.0) = +0.0
diff --git a/libc/src/math/generic/log2f.cpp b/libc/src/math/generic/log2f.cpp
index 4bbc9f51c3d2af..e7aeda723b50a8 100644
--- a/libc/src/math/generic/log2f.cpp
+++ b/libc/src/math/generic/log2f.cpp
@@ -61,7 +61,7 @@ LLVM_LIBC_FUNCTION(float, log2f, (float x)) {
   // Hard to round value(s).
   using fputil::round_result_slightly_up;
 
-  int m = -FPBits::EXPONENT_BIAS;
+  int m = -FPBits::EXP_BIAS;
 
   // log2(1.0f) = 0.0f.
   if (LIBC_UNLIKELY(x_u == 0x3f80'0000U))
diff --git a/libc/src/math/generic/logf.cpp b/libc/src/math/generic/logf.cpp
index 2dfada38b97238..2ebdddbb2d16da 100644
--- a/libc/src/math/generic/logf.cpp
+++ b/libc/src/math/generic/logf.cpp
@@ -57,7 +57,7 @@ LLVM_LIBC_FUNCTION(float, logf, (float x)) {
   FPBits xbits(x);
   uint32_t x_u = xbits.uintval();
 
-  int m = -FPBits::EXPONENT_BIAS;
+  int m = -FPBits::EXP_BIAS;
 
   using fputil::round_result_slightly_down;
   using fputil::round_result_slightly_up;
diff --git a/libc/src/math/generic/powf.cpp b/libc/src/math/generic/powf.cpp
index 99d6bb25d1980f..dd7fa7f6115d4e 100644
--- a/libc/src/math/generic/powf.cpp
+++ b/libc/src/math/generic/powf.cpp
@@ -389,22 +389,22 @@ static constexpr DoubleDouble LOG2_R2_DD[] = {
 LIBC_INLINE bool is_odd_integer(float x) {
   using FloatProp = typename fputil::FloatProperties<float>;
   uint32_t x_u = cpp::bit_cast<uint32_t>(x);
-  int32_t x_e = static_cast<int32_t>((x_u & FloatProp::EXPONENT_MASK) >>
-                                     FloatProp::FRACTION_BITS);
-  int32_t lsb = cpp::countr_zero(x_u | FloatProp::EXPONENT_MASK);
+  int32_t x_e = static_cast<int32_t>((x_u & FloatProp::EXP_MASK) >>
+                                     FloatProp::FRACTION_LEN);
+  int32_t lsb = cpp::countr_zero(x_u | FloatProp::EXP_MASK);
   constexpr int32_t UNIT_EXPONENT =
-      FloatProp::EXPONENT_BIAS + static_cast<int32_t>(FloatProp::FRACTION_BITS);
+      FloatProp::EXP_BIAS + static_cast<int32_t>(FloatProp::FRACTION_LEN);
   return (x_e + lsb == UNIT_EXPONENT);
 }
 
 LIBC_INLINE bool is_integer(float x) {
   using FloatProp = typename fputil::FloatProperties<float>;
   uint32_t x_u = cpp::bit_cast<uint32_t>(x);
-  int32_t x_e = static_cast<int32_t>((x_u & FloatProp::EXPONENT_MASK) >>
-                                     FloatProp::FRACTION_BITS);
-  int32_t lsb = cpp::countr_zero(x_u | FloatProp::EXPONENT_MASK);
+  int32_t x_e = static_cast<int32_t>((x_u & FloatProp::EXP_MASK) >>
+                                     FloatProp::FRACTION_LEN);
+  int32_t lsb = cpp::countr_zero(x_u | FloatProp::EXP_MASK);
   constexpr int32_t UNIT_EXPONENT =
-      FloatProp::EXPONENT_BIAS + static_cast<int32_t>(FloatProp::FRACTION_BITS);
+      FloatProp::EXP_BIAS + static_cast<int32_t>(FloatProp::FRACTION_LEN);
   return (x_e + lsb >= UNIT_EXPONENT);
 }
 
@@ -589,7 +589,7 @@ LLVM_LIBC_FUNCTION(float, powf, (float x, float y)) {
     }
   }
 
-  int ex = -FloatBits::EXPONENT_BIAS;
+  int ex = -FloatBits::EXP_BIAS;
   uint64_t sign = 0;
 
   // y is finite and non-zero.
@@ -669,11 +669,11 @@ LLVM_LIBC_FUNCTION(float, powf, (float x, float y)) {
   x_u = FloatBits(x).uintval();
 
   // Extract exponent field of x.
-  ex += (x_u >> FloatProp::FRACTION_BITS);
+  ex += (x_u >> FloatProp::FRACTION_LEN);
   double e_x = static_cast<double>(ex);
   // Use the highest 7 fractional bits of m_x as the index for look up tables.
   uint32_t x_mant = x_u & FloatProp::FRACTION_MASK;
-  int idx_x = static_cast<int>(x_mant >> (FloatProp::FRACTION_BITS - 7));
+  int idx_x = static_cast<int>(x_mant >> (FloatProp::FRACTION_LEN - 7));
   // Add the hidden bit to the mantissa.
   // 1 <= m_x < 2
   float m_x = cpp::bit_cast<float>(x_mant | 0x3f800000);
@@ -774,7 +774,7 @@ LLVM_LIBC_FUNCTION(float, powf, (float x, float y)) {
   int idx_y = hm_i & 0x3f;
 
   // 2^hi
-  int64_t exp_hi_i = (hm_i >> 6) << DoubleProp::FRACTION_BITS;
+  int64_t exp_hi_i = (hm_i >> 6) << DoubleProp::FRACTION_LEN;
   // 2^mid
   int64_t exp_mid_i = cpp::bit_cast<uint64_t>(EXP2_MID1[idx_y].hi);
   // (-1)^sign * 2^hi * 2^mid
diff --git a/libc/src/math/generic/range_reduction.h b/libc/src/math/generic/range_reduction.h
index 836161e803cbfd..84f3cae9e3294e 100644
--- a/libc/src/math/generic/range_reduction.h
+++ b/libc/src/math/generic/range_reduction.h
@@ -59,7 +59,7 @@ LIBC_INLINE int64_t small_range_reduction(double x, double &y) {
 LIBC_INLINE int64_t large_range_reduction(double x, int x_exp, double &y) {
   int idx = 0;
   y = 0;
-  int x_lsb_exp_m4 = x_exp - fputil::FloatProperties<float>::FRACTION_BITS;
+  int x_lsb_exp_m4 = x_exp - fputil::FloatProperties<float>::FRACTION_LEN;
 
   // Skipping the first parts of 32/pi such that:
   //   LSB of x * LSB of THIRTYTWO_OVER_PI_28[i] >= 32.
diff --git a/libc/src/math/generic/tanhf.cpp b/libc/src/math/generic/tanhf.cpp
index 3b388232ae4eee..9042a41c5ed3fe 100644
--- a/libc/src/math/generic/tanhf.cpp
+++ b/libc/src/math/generic/tanhf.cpp
@@ -90,7 +90,7 @@ LLVM_LIBC_FUNCTION(float, tanhf, (float x)) {
   // -hi = floor(-k * 2^(-MID_BITS))
   // exp_mhi = shift -hi to the exponent field of double precision.
   int64_t exp_mhi = static_cast<int64_t>(mk >> ExpBase::MID_BITS)
-                    << fputil::FloatProperties<double>::FRACTION_BITS;
+                    << fputil::FloatProperties<double>::FRACTION_LEN;
   // mh = 2^(-hi - mid)
   int64_t mh_bits = ExpBase::EXP_2_MID[mk & ExpBase::MID_MASK] + exp_mhi;
   double mh = fputil::FPBits<double>(uint64_t(mh_bits)).get_val();
diff --git a/libc/src/stdio/printf_core/core_structs.h b/libc/src/stdio/printf_core/core_structs.h
index 88a13703fd9476..37538362fa3e72 100644
--- a/libc/src/stdio/printf_core/core_structs.h
+++ b/libc/src/stdio/printf_core/core_structs.h
@@ -46,7 +46,7 @@ struct FormatSection {
   int precision = -1;
 
   // Needs to be large enough to hold a long double.
-  fputil::FPBits<long double>::UIntType conv_val_raw;
+  fputil::FPBits<long double>::StorageType conv_val_raw;
   void *conv_val_ptr;
 
   char conv_name;
diff --git a/libc/src/stdio/printf_core/float_dec_converter.h b/libc/src/stdio/printf_core/float_dec_converter.h
index fc6395feb97e24..d3fbe3187cb333 100644
--- a/libc/src/stdio/printf_core/float_dec_converter.h
+++ b/libc/src/stdio/printf_core/float_dec_converter.h
@@ -31,7 +31,7 @@
 namespace LIBC_NAMESPACE {
 namespace printf_core {
 
-using MantissaInt = fputil::FPBits<long double>::UIntType;
+using MantissaInt = fputil::FPBits<long double>::StorageType;
 using DecimalString = IntegerToString<intmax_t>;
 using ExponentString =
     IntegerToString<intmax_t, radix::Dec::WithWidth<2>::WithSign>;
@@ -245,7 +245,7 @@ class FloatWriter {
   // -exponent will never overflow because all long double types we support
   // have at most 15 bits of mantissa and the C standard defines an int as
   // being at least 16 bits.
-  static_assert(fputil::FloatProperties<long double>::EXPONENT_WIDTH <
+  static_assert(fputil::FloatProperties<long double>::EXP_LEN <
                 (sizeof(int) * 8));
 
 public:
@@ -477,8 +477,8 @@ template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE int convert_float_decimal_typed(Writer *writer,
                                             const FormatSection &to_conv,
                                             fputil::FPBits<T> float_bits) {
-  // signed because later we use -FRACTION_BITS
-  constexpr int32_t FRACTION_BITS = fputil::FloatProperties<T>::FRACTION_BITS;
+  // signed because later we use -FRACTION_LEN
+  constexpr int32_t FRACTION_LEN = fputil::FloatProperties<T>::FRACTION_LEN;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
 
@@ -536,7 +536,7 @@ LIBC_INLINE int convert_float_decimal_typed(Writer *writer,
     float_writer.write_first_block(0);
   }
 
-  if (exponent < FRACTION_BITS) {
+  if (exponent < FRACTION_LEN) {
     const uint32_t blocks = (precision / static_cast<uint32_t>(BLOCK_SIZE)) + 1;
     uint32_t i = 0;
     // if all the blocks we should write are zero
@@ -570,8 +570,8 @@ LIBC_INLINE int convert_float_decimal_typed(Writer *writer,
         }
         RoundDirection round;
         const bool truncated = !zero_after_digits(
-            exponent - FRACTION_BITS, precision,
-            float_bits.get_explicit_mantissa(), FRACTION_BITS);
+            exponent - FRACTION_LEN, precision,
+            float_bits.get_explicit_mantissa(), FRACTION_LEN);
         round = get_round_direction(last_digit, truncated, is_negative);
 
         RET_IF_RESULT_NEGATIVE(
@@ -590,8 +590,8 @@ template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE int convert_float_dec_exp_typed(Writer *writer,
                                             const FormatSection &to_conv,
                                             fputil::FPBits<T> float_bits) {
-  // signed because later we use -FRACTION_BITS
-  constexpr int32_t FRACTION_BITS = fputil::FloatProperties<T>::FRACTION_BITS;
+  // signed because later we use -FRACTION_LEN
+  constexpr int32_t FRACTION_LEN = fputil::FloatProperties<T>::FRACTION_LEN;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
   MantissaInt mantissa = float_bits.get_explicit_mantissa();
@@ -733,11 +733,11 @@ LIBC_INLINE int convert_float_dec_exp_typed(Writer *writer,
       }
     }
     // If it's still not truncated and there are digits below the decimal point
-    if (!truncated && exponent - FRACTION_BITS < 0) {
+    if (!truncated && exponent - FRACTION_LEN < 0) {
       // Use the formula from %f.
       truncated = !zero_after_digits(
-          exponent - FRACTION_BITS, precision - final_exponent,
-          float_bits.get_explicit_mantissa(), FRACTION_BITS);
+          exponent - FRACTION_LEN, precision - final_exponent,
+          float_bits.get_explicit_mantissa(), FRACTION_LEN);
     }
   }
   round = get_round_direction(last_digit, truncated, is_negative);
@@ -753,8 +753,8 @@ template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE int convert_float_dec_auto_typed(Writer *writer,
                                              const FormatSection &to_conv,
                                              fputil::FPBits<T> float_bits) {
-  // signed because later we use -FRACTION_BITS
-  constexpr int32_t FRACTION_BITS = fputil::FloatProperties<T>::FRACTION_BITS;
+  // signed because later we use -FRACTION_LEN
+  constexpr int32_t FRACTION_LEN = fputil::FloatProperties<T>::FRACTION_LEN;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
   MantissaInt mantissa = float_bits.get_explicit_mantissa();
@@ -980,11 +980,11 @@ LIBC_INLINE int convert_float_dec_auto_typed(Writer *writer,
       }
     }
     // If it's still not truncated and there are digits below the decimal point
-    if (!truncated && exponent - FRACTION_BITS < 0) {
+    if (!truncated && exponent - FRACTION_LEN < 0) {
       // Use the formula from %f.
       truncated = !zero_after_digits(
-          exponent - FRACTION_BITS, exp_precision - base_10_exp,
-          float_bits.get_explicit_mantissa(), FRACTION_BITS);
+          exponent - FRACTION_LEN, exp_precision - base_10_exp,
+          float_bits.get_explicit_mantissa(), FRACTION_LEN);
     }
   }
 
@@ -1120,15 +1120,15 @@ LIBC_INLINE int convert_float_dec_auto_typed(Writer *writer,
 LIBC_INLINE int convert_float_decimal(Writer *writer,
                                       const FormatSection &to_conv) {
   if (to_conv.length_modifier == LengthModifier::L) {
-    fputil::FPBits<long double>::UIntType float_raw = to_conv.conv_val_raw;
+    fputil::FPBits<long double>::StorageType float_raw = to_conv.conv_val_raw;
     fputil::FPBits<long double> float_bits(float_raw);
     if (!float_bits.is_inf_or_nan()) {
       return convert_float_decimal_typed<long double>(writer, to_conv,
                                                       float_bits);
     }
   } else {
-    fputil::FPBits<double>::UIntType float_raw =
-        static_cast<fputil::FPBits<double>::UIntType>(to_conv.conv_val_raw);
+    fputil::FPBits<double>::StorageType float_raw =
+        static_cast<fputil::FPBits<double>::StorageType>(to_conv.conv_val_raw);
     fputil::FPBits<double> float_bits(float_raw);
     if (!float_bits.is_inf_or_nan()) {
       return convert_float_decimal_typed<double>(writer, to_conv, float_bits);
@@ -1141,15 +1141,15 @@ LIBC_INLINE int convert_float_decimal(Writer *writer,
 LIBC_INLINE int convert_float_dec_exp(Writer *writer,
                                       const FormatSection &to_conv) {
   if (to_conv.length_modifier == LengthModifier::L) {
-    fputil::FPBits<long double>::UIntType float_raw = to_conv.conv_val_raw;
+    fputil::FPBits<long double>::StorageType float_raw = to_conv.conv_val_raw;
     fputil::FPBits<long double> float_bits(float_raw);
     if (!float_bits.is_inf_or_nan()) {
       return convert_float_dec_exp_typed<long double>(writer, to_conv,
                                                       float_bits);
     }
   } else {
-    fputil::FPBits<double>::UIntType float_raw =
-        static_cast<fputil::FPBits<double>::UIntType>(to_conv.conv_val_raw);
+    fputil::FPBits<double>::StorageType float_raw =
+        static_cast<fputil::FPBits<double>::StorageType>(to_conv.conv_val_raw);
     fputil::FPBits<double> float_bits(float_raw);
     if (!float_bits.is_inf_or_nan()) {
       return convert_float_dec_exp_typed<double>(writer, to_conv, float_bits);
@@ -1162,15 +1162,15 @@ LIBC_INLINE int convert_float_dec_exp(Writer *writer,
 LIBC_INLINE int convert_float_dec_auto(Writer *writer,
                                        const FormatSection &to_conv) {
   if (to_conv.length_modifier == LengthModifier::L) {
-    fputil::FPBits<long double>::UIntType float_raw = to_conv.conv_val_raw;
+    fputil::FPBits<long double>::StorageType float_raw = to_conv.conv_val_raw;
     fputil::FPBits<long double> float_bits(float_raw);
     if (!float_bits.is_inf_or_nan()) {
       return convert_float_dec_auto_typed<long double>(writer, to_conv,
                                                        float_bits);
     }
   } else {
-    fputil::FPBits<double>::UIntType float_raw =
-        static_cast<fputil::FPBits<double>::UIntType>(to_conv.conv_val_raw);
+    fputil::FPBits<double>::StorageType float_raw =
+        static_cast<fputil::FPBits<double>::StorageType>(to_conv.conv_val_raw);
     fputil::FPBits<double> float_bits(float_raw);
     if (!float_bits.is_inf_or_nan()) {
       return convert_float_dec_auto_typed<double>(writer, to_conv, float_bits);
diff --git a/libc/src/stdio/printf_core/float_hex_converter.h b/libc/src/stdio/printf_core/float_hex_converter.h
index aae6ee417f72eb..8e3f2f65b65436 100644
--- a/libc/src/stdio/printf_core/float_hex_converter.h
+++ b/libc/src/stdio/printf_core/float_hex_converter.h
@@ -28,7 +28,7 @@ namespace printf_core {
 LIBC_INLINE int convert_float_hex_exp(Writer *writer,
                                       const FormatSection &to_conv) {
   using LDBits = fputil::FPBits<long double>;
-  using MantissaInt = LDBits::UIntType;
+  using MantissaInt = LDBits::StorageType;
   // All of the letters will be defined relative to variable a, which will be
   // the appropriate case based on the name of the conversion. This converts any
   // conversion name into the letter 'a' with the appropriate case.
@@ -40,8 +40,8 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
   bool is_inf_or_nan;
   uint32_t fraction_bits;
   if (to_conv.length_modifier == LengthModifier::L) {
-    fraction_bits = LDBits::FRACTION_BITS;
-    LDBits::UIntType float_raw = to_conv.conv_val_raw;
+    fraction_bits = LDBits::FRACTION_LEN;
+    LDBits::StorageType float_raw = to_conv.conv_val_raw;
     LDBits float_bits(float_raw);
     is_negative = float_bits.get_sign();
     exponent = float_bits.get_explicit_exponent();
@@ -49,9 +49,9 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
     is_inf_or_nan = float_bits.is_inf_or_nan();
   } else {
     using LBits = fputil::FPBits<double>;
-    fraction_bits = LBits::FRACTION_BITS;
-    LBits::UIntType float_raw =
-        static_cast<LBits::UIntType>(to_conv.conv_val_raw);
+    fraction_bits = LBits::FRACTION_LEN;
+    LBits::StorageType float_raw =
+        static_cast<LBits::StorageType>(to_conv.conv_val_raw);
     LBits float_bits(float_raw);
     is_negative = float_bits.get_sign();
     exponent = float_bits.get_explicit_exponent();
@@ -87,7 +87,7 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
   // for the extra implicit bit. We use the larger of the two possible values
   // since the size must be constant.
   constexpr size_t MANT_BUFF_LEN =
-      (LDBits::FRACTION_BITS / BITS_IN_HEX_DIGIT) + 1;
+      (LDBits::FRACTION_LEN / BITS_IN_HEX_DIGIT) + 1;
   char mant_buffer[MANT_BUFF_LEN];
 
   size_t mant_len = (fraction_bits / BITS_IN_HEX_DIGIT) + 1;
@@ -158,7 +158,7 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
   // 15 -> 5
   // 11 -> 4
   // 8  -> 3
-  constexpr size_t EXP_LEN = (((LDBits::EXPONENT_WIDTH * 5) + 15) / 16) + 1;
+  constexpr size_t EXP_LEN = (((LDBits::EXP_LEN * 5) + 15) / 16) + 1;
   char exp_buffer[EXP_LEN];
 
   bool exp_is_negative = false;
diff --git a/libc/src/stdio/printf_core/float_inf_nan_converter.h b/libc/src/stdio/printf_core/float_inf_nan_converter.h
index 27a034cdcab1b7..906d20ff17f080 100644
--- a/libc/src/stdio/printf_core/float_inf_nan_converter.h
+++ b/libc/src/stdio/printf_core/float_inf_nan_converter.h
@@ -21,7 +21,7 @@
 namespace LIBC_NAMESPACE {
 namespace printf_core {
 
-using MantissaInt = fputil::FPBits<long double>::UIntType;
+using MantissaInt = fputil::FPBits<long double>::StorageType;
 
 LIBC_INLINE int convert_inf_nan(Writer *writer, const FormatSection &to_conv) {
   // All of the letters will be defined relative to variable a, which will be
@@ -31,13 +31,13 @@ LIBC_INLINE int convert_inf_nan(Writer *writer, const FormatSection &to_conv) {
   bool is_negative;
   MantissaInt mantissa;
   if (to_conv.length_modifier == LengthModifier::L) {
-    fputil::FPBits<long double>::UIntType float_raw = to_conv.conv_val_raw;
+    fputil::FPBits<long double>::StorageType float_raw = to_conv.conv_val_raw;
     fputil::FPBits<long double> float_bits(float_raw);
     is_negative = float_bits.get_sign();
     mantissa = float_bits.get_mantissa();
   } else {
-    fputil::FPBits<double>::UIntType float_raw =
-        static_cast<fputil::FPBits<double>::UIntType>(to_conv.conv_val_raw);
+    fputil::FPBits<double>::StorageType float_raw =
+        static_cast<fputil::FPBits<double>::StorageType>(to_conv.conv_val_raw);
     fputil::FPBits<double> float_bits(float_raw);
     is_negative = float_bits.get_sign();
     mantissa = float_bits.get_mantissa();
diff --git a/libc/src/stdio/printf_core/parser.h b/libc/src/stdio/printf_core/parser.h
index 7cf87dd6e17d19..f1994517e1ab1c 100644
--- a/libc/src/stdio/printf_core/parser.h
+++ b/libc/src/stdio/printf_core/parser.h
@@ -26,10 +26,10 @@ template <typename T> struct int_type_of {
   using type = T;
 };
 template <> struct int_type_of<double> {
-  using type = fputil::FPBits<double>::UIntType;
+  using type = fputil::FPBits<double>::StorageType;
 };
 template <> struct int_type_of<long double> {
-  using type = fputil::FPBits<long double>::UIntType;
+  using type = fputil::FPBits<long double>::StorageType;
 };
 template <typename T> using int_type_of_v = typename int_type_of<T>::type;
 
diff --git a/libc/test/UnitTest/FPMatcher.h b/libc/test/UnitTest/FPMatcher.h
index 90bda0067d0476..a3b776493fe2c4 100644
--- a/libc/test/UnitTest/FPMatcher.h
+++ b/libc/test/UnitTest/FPMatcher.h
@@ -61,7 +61,7 @@ template <TestCond C, typename T> FPMatcher<T, C> getMatcher(T expectedValue) {
 
 template <typename T> struct FPTest : public Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
   static constexpr T zero = FPBits::zero();
   static constexpr T neg_zero = FPBits::neg_zero();
   static constexpr T aNaN = FPBits::build_quiet_nan(1);
@@ -87,7 +87,7 @@ template <typename T> struct FPTest : public Test {
 
 #define DECLARE_SPECIAL_CONSTANTS(T)                                           \
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;                            \
-  using UIntType = typename FPBits::UIntType;                                  \
+  using StorageType = typename FPBits::StorageType;                            \
   const T zero = FPBits::zero();                                               \
   const T neg_zero = FPBits::neg_zero();                                       \
   const T aNaN = FPBits::build_quiet_nan(1);                                   \
diff --git a/libc/test/UnitTest/PrintfMatcher.cpp b/libc/test/UnitTest/PrintfMatcher.cpp
index e895da2be120f8..32f3be73307e3a 100644
--- a/libc/test/UnitTest/PrintfMatcher.cpp
+++ b/libc/test/UnitTest/PrintfMatcher.cpp
@@ -77,7 +77,7 @@ static void display(FormatSection form) {
            << "\n";
     else if (form.conv_name != '%')
       tlog << "\tvalue: "
-           << int_to_hex<fputil::FPBits<long double>::UIntType>(
+           << int_to_hex<fputil::FPBits<long double>::StorageType>(
                   form.conv_val_raw)
            << "\n";
   }
diff --git a/libc/test/src/__support/str_to_fp_test.h b/libc/test/src/__support/str_to_fp_test.h
index 3b891fcddd3c60..1e7343f865b7d7 100644
--- a/libc/test/src/__support/str_to_fp_test.h
+++ b/libc/test/src/__support/str_to_fp_test.h
@@ -16,13 +16,13 @@
 namespace LIBC_NAMESPACE {
 
 template <typename T> struct LlvmLibcStrToFloatTest : public testing::Test {
-  using UIntType = typename fputil::FloatProperties<T>::UIntType;
+  using StorageType = typename fputil::FloatProperties<T>::StorageType;
 
-  void clinger_fast_path_test(const UIntType inputMantissa,
+  void clinger_fast_path_test(const StorageType inputMantissa,
                               const int32_t inputExp10,
-                              const UIntType expectedOutputMantissa,
+                              const StorageType expectedOutputMantissa,
                               const uint32_t expectedOutputExp2) {
-    UIntType actual_output_mantissa = 0;
+    StorageType actual_output_mantissa = 0;
     uint32_t actual_output_exp2 = 0;
 
     auto result = internal::clinger_fast_path<T>({inputMantissa, inputExp10});
@@ -36,16 +36,17 @@ template <typename T> struct LlvmLibcStrToFloatTest : public testing::Test {
     EXPECT_EQ(actual_output_exp2, expectedOutputExp2);
   }
 
-  void clinger_fast_path_fails_test(const UIntType inputMantissa,
+  void clinger_fast_path_fails_test(const StorageType inputMantissa,
                                     const int32_t inputExp10) {
     ASSERT_FALSE(internal::clinger_fast_path<T>({inputMantissa, inputExp10})
                      .has_value());
   }
 
-  void eisel_lemire_test(const UIntType inputMantissa, const int32_t inputExp10,
-                         const UIntType expectedOutputMantissa,
+  void eisel_lemire_test(const StorageType inputMantissa,
+                         const int32_t inputExp10,
+                         const StorageType expectedOutputMantissa,
                          const uint32_t expectedOutputExp2) {
-    UIntType actual_output_mantissa = 0;
+    StorageType actual_output_mantissa = 0;
     uint32_t actual_output_exp2 = 0;
 
     auto result = internal::eisel_lemire<T>({inputMantissa, inputExp10});
@@ -60,10 +61,10 @@ template <typename T> struct LlvmLibcStrToFloatTest : public testing::Test {
   }
 
   void simple_decimal_conversion_test(const char *__restrict numStart,
-                                      const UIntType expectedOutputMantissa,
+                                      const StorageType expectedOutputMantissa,
                                       const uint32_t expectedOutputExp2,
                                       const int expectedErrno = 0) {
-    UIntType actual_output_mantissa = 0;
+    StorageType actual_output_mantissa = 0;
     uint32_t actual_output_exp2 = 0;
     libc_errno = 0;
 
diff --git a/libc/test/src/math/CeilTest.h b/libc/test/src/math/CeilTest.h
index d1e2b2e6fd17d4..c8b10e86479e83 100644
--- a/libc/test/src/math/CeilTest.h
+++ b/libc/test/src/math/CeilTest.h
@@ -64,9 +64,9 @@ template <typename T> class CeilTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(CeilFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x))
         continue;
diff --git a/libc/test/src/math/CopySignTest.h b/libc/test/src/math/CopySignTest.h
index aecd012d1d524a..fe0b5855c5be2f 100644
--- a/libc/test/src/math/CopySignTest.h
+++ b/libc/test/src/math/CopySignTest.h
@@ -34,9 +34,9 @@ class CopySignTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(CopySignFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x))
         continue;
diff --git a/libc/test/src/math/FAbsTest.h b/libc/test/src/math/FAbsTest.h
index 3342926142ff1f..e4009d2a3df5f3 100644
--- a/libc/test/src/math/FAbsTest.h
+++ b/libc/test/src/math/FAbsTest.h
@@ -32,9 +32,9 @@ template <typename T> class FAbsTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(FabsFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x))
         continue;
diff --git a/libc/test/src/math/FDimTest.h b/libc/test/src/math/FDimTest.h
index 3fb82ed8bca2ce..5bca63604b0f55 100644
--- a/libc/test/src/math/FDimTest.h
+++ b/libc/test/src/math/FDimTest.h
@@ -17,7 +17,7 @@ class FDimTestTemplate : public LIBC_NAMESPACE::testing::Test {
 public:
   using FuncPtr = T (*)(T, T);
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   void test_na_n_arg(FuncPtr func) {
     EXPECT_FP_EQ(nan, func(nan, inf));
@@ -53,9 +53,9 @@ class FDimTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void test_in_range(FuncPtr func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0, w = UIntType(-1); i <= COUNT;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0, w = StorageType(-1); i <= COUNT;
          ++i, v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
       if (isnan(x) || isinf(x))
diff --git a/libc/test/src/math/FMaxTest.h b/libc/test/src/math/FMaxTest.h
index e371086274acf7..c62d15c53d1e94 100644
--- a/libc/test/src/math/FMaxTest.h
+++ b/libc/test/src/math/FMaxTest.h
@@ -55,9 +55,9 @@ template <typename T> class FMaxTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(FMaxFunc func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0, w = UIntType(-1); i <= COUNT;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0, w = StorageType(-1); i <= COUNT;
          ++i, v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
       if (isnan(x) || isinf(x))
diff --git a/libc/test/src/math/FMinTest.h b/libc/test/src/math/FMinTest.h
index 7f8393ac2b5e91..ac37d14825c620 100644
--- a/libc/test/src/math/FMinTest.h
+++ b/libc/test/src/math/FMinTest.h
@@ -55,9 +55,9 @@ template <typename T> class FMinTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(FMinFunc func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0, w = UIntType(-1); i <= COUNT;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0, w = StorageType(-1); i <= COUNT;
          ++i, v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
       if (isnan(x) || isinf(x))
diff --git a/libc/test/src/math/FloorTest.h b/libc/test/src/math/FloorTest.h
index 843c70ba2baeb3..95fc7313f843ef 100644
--- a/libc/test/src/math/FloorTest.h
+++ b/libc/test/src/math/FloorTest.h
@@ -64,9 +64,9 @@ template <typename T> class FloorTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(FloorFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x))
         continue;
diff --git a/libc/test/src/math/FmaTest.h b/libc/test/src/math/FmaTest.h
index 94412b7021df37..6a35ec96ca5689 100644
--- a/libc/test/src/math/FmaTest.h
+++ b/libc/test/src/math/FmaTest.h
@@ -22,16 +22,16 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
 private:
   using Func = T (*)(T, T, T);
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
   const T nan = T(FPBits::build_quiet_nan(1));
   const T inf = T(FPBits::inf());
   const T neg_inf = T(FPBits::neg_inf());
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
 
-  UIntType get_random_bit_pattern() {
-    UIntType bits{0};
-    for (UIntType i = 0; i < sizeof(UIntType) / 2; ++i) {
+  StorageType get_random_bit_pattern() {
+    StorageType bits{0};
+    for (StorageType i = 0; i < sizeof(StorageType) / 2; ++i) {
       bits = (bits << 2) +
              static_cast<uint16_t>(LIBC_NAMESPACE::testutils::rand());
     }
@@ -52,9 +52,9 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
     // Test underflow rounding up.
     EXPECT_FP_EQ(func(T(0.5), T(FPBits(FPBits::MIN_SUBNORMAL)),
                       T(FPBits(FPBits::MIN_SUBNORMAL))),
-                 T(FPBits(UIntType(2))));
+                 T(FPBits(StorageType(2))));
     // Test underflow rounding down.
-    T v = T(FPBits(FPBits::MIN_NORMAL + UIntType(1)));
+    T v = T(FPBits(FPBits::MIN_NORMAL + StorageType(1)));
     EXPECT_FP_EQ(func(T(1) / T(FPBits::MIN_NORMAL << 1), v,
                       T(FPBits(FPBits::MIN_NORMAL))),
                  v);
@@ -67,11 +67,11 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void test_subnormal_range(Func func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_SUBNORMAL) - UIntType(FPBits::MIN_SUBNORMAL)) /
-        COUNT;
-    for (UIntType v = FPBits::MIN_SUBNORMAL, w = FPBits::MAX_SUBNORMAL;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
+                                  StorageType(FPBits::MIN_SUBNORMAL)) /
+                                 COUNT;
+    for (StorageType v = FPBits::MIN_SUBNORMAL, w = FPBits::MAX_SUBNORMAL;
          v <= FPBits::MAX_SUBNORMAL && w >= FPBits::MIN_SUBNORMAL;
          v += STEP, w -= STEP) {
       T x = T(FPBits(get_random_bit_pattern())), y = T(FPBits(v)),
@@ -83,10 +83,11 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void test_normal_range(Func func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_NORMAL) - UIntType(FPBits::MIN_NORMAL)) / COUNT;
-    for (UIntType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP =
+        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
+        COUNT;
+    for (StorageType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
          v <= FPBits::MAX_NORMAL && w >= FPBits::MIN_NORMAL;
          v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w)),
diff --git a/libc/test/src/math/FrexpTest.h b/libc/test/src/math/FrexpTest.h
index ffe743b32aab41..8fbb4bf1f0b638 100644
--- a/libc/test/src/math/FrexpTest.h
+++ b/libc/test/src/math/FrexpTest.h
@@ -19,8 +19,9 @@ template <typename T> class FrexpTest : public LIBC_NAMESPACE::testing::Test {
 
   DECLARE_SPECIAL_CONSTANTS(T)
 
-  static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
+  static constexpr StorageType HIDDEN_BIT =
+      StorageType(1)
+      << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_LEN;
 
 public:
   typedef T (*FrexpFunc)(T, int *);
@@ -92,10 +93,10 @@ template <typename T> class FrexpTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(FrexpFunc func) {
-    using UIntType = typename FPBits::UIntType;
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    using StorageType = typename FPBits::StorageType;
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = static_cast<T>(FPBits(v));
       if (isnan(x) || isinf(x) || x == 0.0l)
         continue;
diff --git a/libc/test/src/math/HypotTest.h b/libc/test/src/math/HypotTest.h
index c01a771b9505fa..b9567c4b464164 100644
--- a/libc/test/src/math/HypotTest.h
+++ b/libc/test/src/math/HypotTest.h
@@ -23,7 +23,7 @@ class HypotTestTemplate : public LIBC_NAMESPACE::testing::Test {
 private:
   using Func = T (*)(T, T);
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
   const T nan = T(FPBits::build_quiet_nan(1));
   const T inf = T(FPBits::inf());
   const T neg_inf = T(FPBits::neg_inf());
@@ -59,12 +59,12 @@ class HypotTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void test_subnormal_range(Func func) {
-    constexpr UIntType COUNT = 10'001;
+    constexpr StorageType COUNT = 10'001;
     for (unsigned scale = 0; scale < 4; ++scale) {
-      UIntType max_value = FPBits::MAX_SUBNORMAL << scale;
-      UIntType step = (max_value - FPBits::MIN_SUBNORMAL) / COUNT;
+      StorageType max_value = FPBits::MAX_SUBNORMAL << scale;
+      StorageType step = (max_value - FPBits::MIN_SUBNORMAL) / COUNT;
       for (int signs = 0; signs < 4; ++signs) {
-        for (UIntType v = FPBits::MIN_SUBNORMAL, w = max_value;
+        for (StorageType v = FPBits::MIN_SUBNORMAL, w = max_value;
              v <= max_value && w >= FPBits::MIN_SUBNORMAL;
              v += step, w -= step) {
           T x = T(FPBits(v)), y = T(FPBits(w));
@@ -84,11 +84,12 @@ class HypotTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void test_normal_range(Func func) {
-    constexpr UIntType COUNT = 10'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_NORMAL) - UIntType(FPBits::MIN_NORMAL)) / COUNT;
+    constexpr StorageType COUNT = 10'001;
+    constexpr StorageType STEP =
+        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
+        COUNT;
     for (int signs = 0; signs < 4; ++signs) {
-      for (UIntType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
+      for (StorageType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
            v <= FPBits::MAX_NORMAL && w >= FPBits::MIN_NORMAL;
            v += STEP, w -= STEP) {
         T x = T(FPBits(v)), y = T(FPBits(w));
diff --git a/libc/test/src/math/ILogbTest.h b/libc/test/src/math/ILogbTest.h
index 9e12b4515c2852..565a476112d096 100644
--- a/libc/test/src/math/ILogbTest.h
+++ b/libc/test/src/math/ILogbTest.h
@@ -74,12 +74,12 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
   template <typename T>
   void test_subnormal_range(typename ILogbFunc<T>::Func func) {
     using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-    using UIntType = typename FPBits::UIntType;
-    constexpr UIntType COUNT = 10'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_SUBNORMAL) - UIntType(FPBits::MIN_SUBNORMAL)) /
-        COUNT;
-    for (UIntType v = FPBits::MIN_SUBNORMAL; v <= FPBits::MAX_SUBNORMAL;
+    using StorageType = typename FPBits::StorageType;
+    constexpr StorageType COUNT = 10'001;
+    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
+                                  StorageType(FPBits::MIN_SUBNORMAL)) /
+                                 COUNT;
+    for (StorageType v = FPBits::MIN_SUBNORMAL; v <= FPBits::MAX_SUBNORMAL;
          v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x) || x == 0.0)
@@ -94,11 +94,13 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
   template <typename T>
   void test_normal_range(typename ILogbFunc<T>::Func func) {
     using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-    using UIntType = typename FPBits::UIntType;
-    constexpr UIntType COUNT = 10'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_NORMAL) - UIntType(FPBits::MIN_NORMAL)) / COUNT;
-    for (UIntType v = FPBits::MIN_NORMAL; v <= FPBits::MAX_NORMAL; v += STEP) {
+    using StorageType = typename FPBits::StorageType;
+    constexpr StorageType COUNT = 10'001;
+    constexpr StorageType STEP =
+        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
+        COUNT;
+    for (StorageType v = FPBits::MIN_NORMAL; v <= FPBits::MAX_NORMAL;
+         v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x) || x == 0.0)
         continue;
diff --git a/libc/test/src/math/LdExpTest.h b/libc/test/src/math/LdExpTest.h
index 5b1e242d81440e..4279b9356b252a 100644
--- a/libc/test/src/math/LdExpTest.h
+++ b/libc/test/src/math/LdExpTest.h
@@ -22,10 +22,10 @@ template <typename T>
 class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using NormalFloat = LIBC_NAMESPACE::fputil::NormalFloat<T>;
-  using UIntType = typename FPBits::UIntType;
-  static constexpr UIntType FRACTION_BITS = FPBits::FRACTION_BITS;
+  using StorageType = typename FPBits::StorageType;
+  static constexpr StorageType FRACTION_LEN = FPBits::FRACTION_LEN;
   // A normalized mantissa to be used with tests.
-  static constexpr UIntType MANTISSA = NormalFloat::ONE + 0x1234;
+  static constexpr StorageType MANTISSA = NormalFloat::ONE + 0x1234;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
@@ -69,7 +69,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnNormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
+    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -82,11 +82,11 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnSubnormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
+    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
-    T x = NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 0);
+    T x = NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 0);
     for (int32_t exp : exp_array) {
       ASSERT_FP_EQ(func(x, -exp), x > 0 ? zero : neg_zero);
     }
@@ -98,9 +98,9 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
         NormalFloat(100, MANTISSA, 0), NormalFloat(-100, MANTISSA, 0),
         NormalFloat(100, MANTISSA, 1), NormalFloat(-100, MANTISSA, 1),
         // Subnormal numbers
-        NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 0),
-        NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 1)};
-    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_BITS); ++exp) {
+        NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 0),
+        NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 1)};
+    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_LEN); ++exp) {
       for (T x : val_array) {
         // We compare the result of ldexp with the result
         // of the native multiplication/division instruction.
@@ -118,14 +118,14 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     }
 
     // Normal which trigger mantissa overflow.
-    T x = NormalFloat(-FPBits::EXPONENT_BIAS + 1,
-                      UIntType(2) * NormalFloat::ONE - UIntType(1), 0);
+    T x = NormalFloat(-FPBits::EXP_BIAS + 1,
+                      StorageType(2) * NormalFloat::ONE - StorageType(1), 0);
     ASSERT_FP_EQ(func(x, -1), x / 2);
     ASSERT_FP_EQ(func(-x, -1), -x / 2);
 
     // Start with a normal number high exponent but pass a very low number for
     // exp. The result should be a subnormal number.
-    x = NormalFloat(FPBits::EXPONENT_BIAS, NormalFloat::ONE, 0);
+    x = NormalFloat(FPBits::EXP_BIAS, NormalFloat::ONE, 0);
     int exp = -FPBits::MAX_EXPONENT - 5;
     T result = func(x, exp);
     FPBits result_bits(result);
@@ -134,12 +134,12 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_EQ(result_bits.get_biased_exponent(), uint16_t(0));
     // But if the exp is so less that normalization leads to zero, then
     // the result should be zero.
-    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_BITS) - 5);
+    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_LEN) - 5);
     ASSERT_TRUE(FPBits(result).is_zero());
 
     // Start with a subnormal number but pass a very high number for exponent.
     // The result should not be infinity.
-    x = NormalFloat(-FPBits::EXPONENT_BIAS + 1, NormalFloat::ONE >> 10, 0);
+    x = NormalFloat(-FPBits::EXP_BIAS + 1, NormalFloat::ONE >> 10, 0);
     exp = FPBits::MAX_EXPONENT + 5;
     ASSERT_FALSE(FPBits(func(x, exp)).is_inf());
     // But if the exp is large enough to oversome than the normalization shift,
diff --git a/libc/test/src/math/LogbTest.h b/libc/test/src/math/LogbTest.h
index d09b6e06ddf8de..be330e861efb24 100644
--- a/libc/test/src/math/LogbTest.h
+++ b/libc/test/src/math/LogbTest.h
@@ -19,8 +19,9 @@ template <typename T> class LogbTest : public LIBC_NAMESPACE::testing::Test {
 
   DECLARE_SPECIAL_CONSTANTS(T)
 
-  static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
+  static constexpr StorageType HIDDEN_BIT =
+      StorageType(1)
+      << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_LEN;
 
 public:
   typedef T (*LogbFunc)(T);
@@ -71,10 +72,10 @@ template <typename T> class LogbTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(LogbFunc func) {
-    using UIntType = typename FPBits::UIntType;
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    using StorageType = typename FPBits::StorageType;
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = static_cast<T>(FPBits(v));
       if (isnan(x) || isinf(x) || x == 0.0l)
         continue;
diff --git a/libc/test/src/math/ModfTest.h b/libc/test/src/math/ModfTest.h
index 21adef8a08d8d4..f9dbeb99b7dbd2 100644
--- a/libc/test/src/math/ModfTest.h
+++ b/libc/test/src/math/ModfTest.h
@@ -84,9 +84,9 @@ template <typename T> class ModfTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(ModfFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x) || x == T(0.0))
         continue;
diff --git a/libc/test/src/math/NextAfterTest.h b/libc/test/src/math/NextAfterTest.h
index 5aa14ceaa5d7b8..e044adba4a84ed 100644
--- a/libc/test/src/math/NextAfterTest.h
+++ b/libc/test/src/math/NextAfterTest.h
@@ -20,20 +20,20 @@
 template <typename T>
 class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   static constexpr int BIT_WIDTH_OF_TYPE =
-      LIBC_NAMESPACE::fputil::FloatProperties<T>::BIT_WIDTH;
+      LIBC_NAMESPACE::fputil::FloatProperties<T>::TOTAL_LEN;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
   const T inf = T(FPBits::inf());
   const T neg_inf = T(FPBits::neg_inf());
   const T nan = T(FPBits::build_quiet_nan(1));
-  const UIntType min_subnormal = FPBits::MIN_SUBNORMAL;
-  const UIntType max_subnormal = FPBits::MAX_SUBNORMAL;
-  const UIntType min_normal = FPBits::MIN_NORMAL;
-  const UIntType max_normal = FPBits::MAX_NORMAL;
+  const StorageType min_subnormal = FPBits::MIN_SUBNORMAL;
+  const StorageType max_subnormal = FPBits::MAX_SUBNORMAL;
+  const StorageType min_normal = FPBits::MIN_NORMAL;
+  const StorageType max_normal = FPBits::MAX_NORMAL;
 
 public:
   typedef T (*NextAfterFunc)(T, T);
@@ -50,12 +50,12 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     // 'from' is zero|neg_zero.
     T x = zero;
     T result = func(x, T(1));
-    UIntType expected_bits = 1;
+    StorageType expected_bits = 1;
     T expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, T(-1));
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -66,7 +66,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, -1);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -84,13 +84,13 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
 
     result = func(x, -1);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, 0);
     expected_bits =
-        (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -105,7 +105,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
     result = func(x, -1);
     expected_bits =
-        (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, 0), T(-0.0));
@@ -124,12 +124,13 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, -inf);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
+    expected_bits =
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -151,7 +152,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = neg_inf;
     result = func(x, 0);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, neg_inf), neg_inf);
@@ -168,7 +169,8 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result = func(x, T(33.0));
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
-    ASSERT_EQ(result_bits.get_mantissa(), x_bits.get_mantissa() + UIntType(1));
+    ASSERT_EQ(result_bits.get_mantissa(),
+              x_bits.get_mantissa() + StorageType(1));
 
     x = -x;
 
@@ -181,7 +183,8 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result = func(x, T(-33.0));
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
-    ASSERT_EQ(result_bits.get_mantissa(), x_bits.get_mantissa() + UIntType(1));
+    ASSERT_EQ(result_bits.get_mantissa(),
+              x_bits.get_mantissa() + StorageType(1));
   }
 };
 
diff --git a/libc/test/src/math/RIntTest.h b/libc/test/src/math/RIntTest.h
index 272112142e21e0..8b4dca52ad3347 100644
--- a/libc/test/src/math/RIntTest.h
+++ b/libc/test/src/math/RIntTest.h
@@ -31,7 +31,7 @@ class RIntTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
 private:
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
@@ -93,11 +93,11 @@ class RIntTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testSubnormalRange(RIntFunc func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_SUBNORMAL) - UIntType(FPBits::MIN_SUBNORMAL)) /
-        COUNT;
-    for (UIntType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
+                                  StorageType(FPBits::MIN_SUBNORMAL)) /
+                                 COUNT;
+    for (StorageType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
          i += STEP) {
       T x = T(FPBits(i));
       for (int mode : ROUNDING_MODES) {
@@ -109,10 +109,12 @@ class RIntTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testNormalRange(RIntFunc func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_NORMAL) - UIntType(FPBits::MIN_NORMAL)) / COUNT;
-    for (UIntType i = FPBits::MIN_NORMAL; i <= FPBits::MAX_NORMAL; i += STEP) {
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP =
+        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
+        COUNT;
+    for (StorageType i = FPBits::MIN_NORMAL; i <= FPBits::MAX_NORMAL;
+         i += STEP) {
       T x = T(FPBits(i));
       // In normal range on x86 platforms, the long double implicit 1 bit can be
       // zero making the numbers NaN. We will skip them.
diff --git a/libc/test/src/math/RemQuoTest.h b/libc/test/src/math/RemQuoTest.h
index a345e8b72e78d0..af15896d2bfe73 100644
--- a/libc/test/src/math/RemQuoTest.h
+++ b/libc/test/src/math/RemQuoTest.h
@@ -21,7 +21,7 @@ namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
 template <typename T>
 class RemQuoTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
@@ -95,11 +95,11 @@ class RemQuoTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testSubnormalRange(RemQuoFunc func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_SUBNORMAL) - UIntType(FPBits::MIN_SUBNORMAL)) /
-        COUNT;
-    for (UIntType v = FPBits::MIN_SUBNORMAL, w = FPBits::MAX_SUBNORMAL;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
+                                  StorageType(FPBits::MIN_SUBNORMAL)) /
+                                 COUNT;
+    for (StorageType v = FPBits::MIN_SUBNORMAL, w = FPBits::MAX_SUBNORMAL;
          v <= FPBits::MAX_SUBNORMAL && w >= FPBits::MIN_SUBNORMAL;
          v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
@@ -111,10 +111,11 @@ class RemQuoTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testNormalRange(RemQuoFunc func) {
-    constexpr UIntType COUNT = 1'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_NORMAL) - UIntType(FPBits::MIN_NORMAL)) / COUNT;
-    for (UIntType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
+    constexpr StorageType COUNT = 1'001;
+    constexpr StorageType STEP =
+        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
+        COUNT;
+    for (StorageType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
          v <= FPBits::MAX_NORMAL && w >= FPBits::MIN_NORMAL;
          v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
diff --git a/libc/test/src/math/RoundTest.h b/libc/test/src/math/RoundTest.h
index e99491ccf380f8..a0e7085ffc9eaa 100644
--- a/libc/test/src/math/RoundTest.h
+++ b/libc/test/src/math/RoundTest.h
@@ -64,9 +64,9 @@ template <typename T> class RoundTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(RoundFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x))
         continue;
diff --git a/libc/test/src/math/RoundToIntegerTest.h b/libc/test/src/math/RoundToIntegerTest.h
index 6f0b4cd476df0f..aebf5c95953763 100644
--- a/libc/test/src/math/RoundToIntegerTest.h
+++ b/libc/test/src/math/RoundToIntegerTest.h
@@ -30,7 +30,7 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
 private:
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<F>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   const F zero = F(FPBits::zero());
   const F neg_zero = F(FPBits::neg_zero());
@@ -126,7 +126,7 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
     // We start with 1.0 so that the implicit bit for x86 long doubles
     // is set.
     FPBits bits(F(1.0));
-    bits.set_biased_exponent(EXPONENT_LIMIT + FPBits::EXPONENT_BIAS);
+    bits.set_biased_exponent(EXPONENT_LIMIT + FPBits::EXP_BIAS);
     bits.set_sign(1);
     bits.set_mantissa(0);
 
@@ -190,7 +190,7 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
     // We start with 1.0 so that the implicit bit for x86 long doubles
     // is set.
     FPBits bits(F(1.0));
-    bits.set_biased_exponent(EXPONENT_LIMIT + FPBits::EXPONENT_BIAS);
+    bits.set_biased_exponent(EXPONENT_LIMIT + FPBits::EXP_BIAS);
     bits.set_sign(1);
     bits.set_mantissa(FPBits::FRACTION_MASK);
 
@@ -213,11 +213,11 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testSubnormalRange(RoundToIntegerFunc func) {
-    constexpr UIntType COUNT = 1'000'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_SUBNORMAL) - UIntType(FPBits::MIN_SUBNORMAL)) /
-        COUNT;
-    for (UIntType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
+    constexpr StorageType COUNT = 1'000'001;
+    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
+                                  StorageType(FPBits::MIN_SUBNORMAL)) /
+                                 COUNT;
+    for (StorageType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
          i += STEP) {
       F x = F(FPBits(i));
       if (x == F(0.0))
@@ -258,10 +258,12 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
     if (sizeof(I) > sizeof(long))
       return;
 
-    constexpr UIntType COUNT = 1'000'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_NORMAL) - UIntType(FPBits::MIN_NORMAL)) / COUNT;
-    for (UIntType i = FPBits::MIN_NORMAL; i <= FPBits::MAX_NORMAL; i += STEP) {
+    constexpr StorageType COUNT = 1'000'001;
+    constexpr StorageType STEP =
+        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
+        COUNT;
+    for (StorageType i = FPBits::MIN_NORMAL; i <= FPBits::MAX_NORMAL;
+         i += STEP) {
       F x = F(FPBits(i));
       // In normal range on x86 platforms, the long double implicit 1 bit can be
       // zero making the numbers NaN. We will skip them.
diff --git a/libc/test/src/math/SqrtTest.h b/libc/test/src/math/SqrtTest.h
index 9a8fb4d1b1c948..e5a4e5fc562b3f 100644
--- a/libc/test/src/math/SqrtTest.h
+++ b/libc/test/src/math/SqrtTest.h
@@ -19,8 +19,9 @@ template <typename T> class SqrtTest : public LIBC_NAMESPACE::testing::Test {
 
   DECLARE_SPECIAL_CONSTANTS(T)
 
-  static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
+  static constexpr StorageType HIDDEN_BIT =
+      StorageType(1)
+      << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_LEN;
 
 public:
   typedef T (*SqrtFunc)(T);
@@ -38,25 +39,25 @@ template <typename T> class SqrtTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void test_denormal_values(SqrtFunc func) {
-    for (UIntType mant = 1; mant < HIDDEN_BIT; mant <<= 1) {
+    for (StorageType mant = 1; mant < HIDDEN_BIT; mant <<= 1) {
       FPBits denormal(T(0.0));
       denormal.set_mantissa(mant);
       T x = T(denormal);
       EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Sqrt, x, func(x), 0.5);
     }
 
-    constexpr UIntType COUNT = 200'001;
-    constexpr UIntType STEP = HIDDEN_BIT / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 200'001;
+    constexpr StorageType STEP = HIDDEN_BIT / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = LIBC_NAMESPACE::cpp::bit_cast<T>(v);
       EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Sqrt, x, func(x), 0.5);
     }
   }
 
   void test_normal_range(SqrtFunc func) {
-    constexpr UIntType COUNT = 200'001;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 200'001;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = LIBC_NAMESPACE::cpp::bit_cast<T>(v);
       if (isnan(x) || (x < 0)) {
         continue;
diff --git a/libc/test/src/math/TruncTest.h b/libc/test/src/math/TruncTest.h
index fa29ee1ce8c3a4..c353ac0e914739 100644
--- a/libc/test/src/math/TruncTest.h
+++ b/libc/test/src/math/TruncTest.h
@@ -64,9 +64,9 @@ template <typename T> class TruncTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(TruncFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x))
         continue;
diff --git a/libc/test/src/math/cos_test.cpp b/libc/test/src/math/cos_test.cpp
index 738d66034f18d2..add4e2b39f3ca5 100644
--- a/libc/test/src/math/cos_test.cpp
+++ b/libc/test/src/math/cos_test.cpp
@@ -19,9 +19,9 @@ namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
 
 TEST_F(LlvmLibcCosTest, Range) {
   static constexpr double _2pi = 6.283185307179586;
-  constexpr UIntType COUNT = 100'000;
-  constexpr UIntType STEP = UIntType(-1) / COUNT;
-  for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+  constexpr StorageType COUNT = 100'000;
+  constexpr StorageType STEP = StorageType(-1) / COUNT;
+  for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
     double x = double(FPBits(v));
     // TODO: Expand the range of testing after range reduction is implemented.
     if (isnan(x) || isinf(x) || x > _2pi || x < -_2pi)
diff --git a/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h b/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
index 1ea50deccb7eaf..f9eafe90d892ab 100644
--- a/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
+++ b/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
@@ -16,23 +16,25 @@ namespace testing {
 
 template <typename T> class BinaryOpSingleOutputDiff {
   using FPBits = fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
-  static constexpr UIntType MSBIT = UIntType(1) << (8 * sizeof(UIntType) - 1);
-  static constexpr UIntType UINTMAX = (MSBIT - 1) + MSBIT;
+  using StorageType = typename FPBits::StorageType;
+  static constexpr StorageType MSBIT = StorageType(1)
+                                       << (8 * sizeof(StorageType) - 1);
+  static constexpr StorageType UINTMAX = (MSBIT - 1) + MSBIT;
 
 public:
   typedef T Func(T, T);
 
   static uint64_t run_diff_in_range(Func myFunc, Func otherFunc,
-                                    UIntType startingBit, UIntType endingBit,
-                                    UIntType N, std::ofstream &log) {
+                                    StorageType startingBit,
+                                    StorageType endingBit, StorageType N,
+                                    std::ofstream &log) {
     uint64_t result = 0;
     if (endingBit < startingBit) {
       return result;
     }
 
-    UIntType step = (endingBit - startingBit) / N;
-    for (UIntType bitsX = startingBit, bitsY = endingBit;;
+    StorageType step = (endingBit - startingBit) / N;
+    for (StorageType bitsX = startingBit, bitsY = endingBit;;
          bitsX += step, bitsY -= step) {
       T x = T(FPBits(bitsX));
       T y = T(FPBits(bitsY));
@@ -57,16 +59,16 @@ template <typename T> class BinaryOpSingleOutputDiff {
   }
 
   static void run_perf_in_range(Func myFunc, Func otherFunc,
-                                UIntType startingBit, UIntType endingBit,
-                                UIntType N, std::ofstream &log) {
+                                StorageType startingBit, StorageType endingBit,
+                                StorageType N, std::ofstream &log) {
     auto runner = [=](Func func) {
       volatile T result;
       if (endingBit < startingBit) {
         return;
       }
 
-      UIntType step = (endingBit - startingBit) / N;
-      for (UIntType bitsX = startingBit, bitsY = endingBit;;
+      StorageType step = (endingBit - startingBit) / N;
+      for (StorageType bitsX = startingBit, bitsY = endingBit;;
            bitsX += step, bitsY -= step) {
         T x = T(FPBits(bitsX));
         T y = T(FPBits(bitsY));
@@ -107,7 +109,7 @@ template <typename T> class BinaryOpSingleOutputDiff {
   static void run_perf(Func myFunc, Func otherFunc, const char *logFile) {
     std::ofstream log(logFile);
     log << " Performance tests with inputs in denormal range:\n";
-    run_perf_in_range(myFunc, otherFunc, /* startingBit= */ UIntType(0),
+    run_perf_in_range(myFunc, otherFunc, /* startingBit= */ StorageType(0),
                       /* endingBit= */ FPBits::MAX_SUBNORMAL, 1'000'001, log);
     log << "\n Performance tests with inputs in normal range:\n";
     run_perf_in_range(myFunc, otherFunc, /* startingBit= */ FPBits::MIN_NORMAL,
@@ -124,7 +126,7 @@ template <typename T> class BinaryOpSingleOutputDiff {
     std::ofstream log(logFile);
     log << " Diff tests with inputs in denormal range:\n";
     diffCount += run_diff_in_range(
-        myFunc, otherFunc, /* startingBit= */ UIntType(0),
+        myFunc, otherFunc, /* startingBit= */ StorageType(0),
         /* endingBit= */ FPBits::MAX_SUBNORMAL, 1'000'001, log);
     log << "\n Diff tests with inputs in normal range:\n";
     diffCount += run_diff_in_range(
diff --git a/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h b/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h
index c20cf3152f6220..928365d8fbc691 100644
--- a/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h
+++ b/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h
@@ -16,24 +16,25 @@ namespace testing {
 
 template <typename T> class SingleInputSingleOutputDiff {
   using FPBits = fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
-  static constexpr UIntType MSBit = UIntType(1) << (8 * sizeof(UIntType) - 1);
-  static constexpr UIntType UIntMax = (MSBit - 1) + MSBit;
+  using StorageType = typename FPBits::StorageType;
+  static constexpr StorageType MSBit = StorageType(1)
+                                       << (8 * sizeof(StorageType) - 1);
+  static constexpr StorageType UIntMax = (MSBit - 1) + MSBit;
 
 public:
   typedef T Func(T);
 
   static void runDiff(Func myFunc, Func otherFunc, const char *logFile) {
-    UIntType diffCount = 0;
+    StorageType diffCount = 0;
     std::ofstream log(logFile);
     log << "Starting diff for values from 0 to " << UIntMax << '\n'
         << "Only differing results will be logged.\n\n";
-    for (UIntType bits = 0;; ++bits) {
+    for (StorageType bits = 0;; ++bits) {
       T x = T(FPBits(bits));
       T myResult = myFunc(x);
       T otherResult = otherFunc(x);
-      UIntType myBits = FPBits(myResult).uintval();
-      UIntType otherBits = FPBits(otherResult).uintval();
+      StorageType myBits = FPBits(myResult).uintval();
+      StorageType otherBits = FPBits(otherResult).uintval();
       if (myBits != otherBits) {
         ++diffCount;
         log << "       Input: " << bits << " (" << x << ")\n"
@@ -47,11 +48,12 @@ template <typename T> class SingleInputSingleOutputDiff {
     log << "Total number of differing results: " << diffCount << '\n';
   }
 
-  static void runPerfInRange(Func myFunc, Func otherFunc, UIntType startingBit,
-                             UIntType endingBit, std::ofstream &log) {
+  static void runPerfInRange(Func myFunc, Func otherFunc,
+                             StorageType startingBit, StorageType endingBit,
+                             std::ofstream &log) {
     auto runner = [=](Func func) {
       volatile T result;
-      for (UIntType bits = startingBit;; ++bits) {
+      for (StorageType bits = startingBit;; ++bits) {
         T x = T(FPBits(bits));
         result = func(x);
         if (bits == endingBit)
@@ -64,7 +66,7 @@ template <typename T> class SingleInputSingleOutputDiff {
     runner(myFunc);
     timer.stop();
 
-    UIntType numberOfRuns = endingBit - startingBit + 1;
+    StorageType numberOfRuns = endingBit - startingBit + 1;
     double myAverage = static_cast<double>(timer.nanoseconds()) / numberOfRuns;
     log << "-- My function --\n";
     log << "     Total time      : " << timer.nanoseconds() << " ns \n";
@@ -91,7 +93,7 @@ template <typename T> class SingleInputSingleOutputDiff {
   static void runPerf(Func myFunc, Func otherFunc, const char *logFile) {
     std::ofstream log(logFile);
     log << " Performance tests with inputs in denormal range:\n";
-    runPerfInRange(myFunc, otherFunc, /* startingBit= */ UIntType(0),
+    runPerfInRange(myFunc, otherFunc, /* startingBit= */ StorageType(0),
                    /* endingBit= */ FPBits::MAX_SUBNORMAL, log);
     log << "\n Performance tests with inputs in normal range:\n";
     runPerfInRange(myFunc, otherFunc, /* startingBit= */ FPBits::MIN_NORMAL,
diff --git a/libc/test/src/math/exhaustive/exhaustive_test.h b/libc/test/src/math/exhaustive/exhaustive_test.h
index c4e68d40e8e91e..dbb59e5269dc33 100644
--- a/libc/test/src/math/exhaustive/exhaustive_test.h
+++ b/libc/test/src/math/exhaustive/exhaustive_test.h
@@ -24,7 +24,7 @@
 // 1. Define a Checker class with:
 //    - FloatType: define floating point type to be used.
 //    - FPBits: fputil::FPBits<FloatType>.
-//    - UIntType: define bit type for the corresponding floating point type.
+//    - StorageType: define bit type for the corresponding floating point type.
 //    - uint64_t check(start, stop, rounding_mode): a method to test in given
 //          range for a given rounding mode, which returns the number of
 //          failures.
@@ -41,16 +41,17 @@ template <typename T, mpfr::Operation Op, UnaryOp<T> Func>
 struct UnaryOpChecker : public virtual LIBC_NAMESPACE::testing::Test {
   using FloatType = T;
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<FloatType>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   static constexpr UnaryOp<FloatType> *FUNC = Func;
 
   // Check in a range, return the number of failures.
-  uint64_t check(UIntType start, UIntType stop, mpfr::RoundingMode rounding) {
+  uint64_t check(StorageType start, StorageType stop,
+                 mpfr::RoundingMode rounding) {
     mpfr::ForceRoundingMode r(rounding);
     if (!r.success)
       return (stop > start);
-    UIntType bits = start;
+    StorageType bits = start;
     uint64_t failed = 0;
     do {
       FPBits xbits(bits);
@@ -68,32 +69,32 @@ struct UnaryOpChecker : public virtual LIBC_NAMESPACE::testing::Test {
 };
 
 // Checker class needs inherit from LIBC_NAMESPACE::testing::Test and provide
-//   UIntType and check method.
+//   StorageType and check method.
 template <typename Checker>
 struct LlvmLibcExhaustiveMathTest
     : public virtual LIBC_NAMESPACE::testing::Test,
       public Checker {
   using FloatType = typename Checker::FloatType;
   using FPBits = typename Checker::FPBits;
-  using UIntType = typename Checker::UIntType;
+  using StorageType = typename Checker::StorageType;
 
-  static constexpr UIntType INCREMENT = (1 << 20);
+  static constexpr StorageType INCREMENT = (1 << 20);
 
   // Break [start, stop) into `nthreads` subintervals and apply *check to each
   // subinterval in parallel.
-  void test_full_range(UIntType start, UIntType stop,
+  void test_full_range(StorageType start, StorageType stop,
                        mpfr::RoundingMode rounding) {
     int n_threads = std::thread::hardware_concurrency();
     std::vector<std::thread> thread_list;
     std::mutex mx_cur_val;
     int current_percent = -1;
-    UIntType current_value = start;
+    StorageType current_value = start;
     std::atomic<uint64_t> failed(0);
 
     for (int i = 0; i < n_threads; ++i) {
       thread_list.emplace_back([&, this]() {
         while (true) {
-          UIntType range_begin, range_end;
+          StorageType range_begin, range_end;
           int new_percent = -1;
           {
             std::lock_guard<std::mutex> lock(mx_cur_val);
@@ -148,7 +149,7 @@ struct LlvmLibcExhaustiveMathTest
     ASSERT_EQ(failed.load(), uint64_t(0));
   }
 
-  void test_full_range_all_roundings(UIntType start, UIntType stop) {
+  void test_full_range_all_roundings(StorageType start, StorageType stop) {
     std::cout << "-- Testing for FE_TONEAREST in range [0x" << std::hex << start
               << ", 0x" << stop << ") --" << std::dec << std::endl;
     test_full_range(start, stop, mpfr::RoundingMode::Nearest);
diff --git a/libc/test/src/math/exhaustive/hypotf_test.cpp b/libc/test/src/math/exhaustive/hypotf_test.cpp
index 8812f0e5dcde34..df597563ab0cd3 100644
--- a/libc/test/src/math/exhaustive/hypotf_test.cpp
+++ b/libc/test/src/math/exhaustive/hypotf_test.cpp
@@ -18,7 +18,7 @@ namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
 struct HypotfChecker : public virtual LIBC_NAMESPACE::testing::Test {
   using FloatType = float;
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<float>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   uint64_t check(uint32_t start, uint32_t stop, mpfr::RoundingMode rounding) {
     // Range of the second input: [2^37, 2^48).
diff --git a/libc/test/src/math/exhaustive/sincosf_test.cpp b/libc/test/src/math/exhaustive/sincosf_test.cpp
index f73a1a64c5e4dd..4104034d17c6f0 100644
--- a/libc/test/src/math/exhaustive/sincosf_test.cpp
+++ b/libc/test/src/math/exhaustive/sincosf_test.cpp
@@ -15,13 +15,14 @@ namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
 struct SincosfChecker : public virtual LIBC_NAMESPACE::testing::Test {
   using FloatType = float;
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<float>;
-  using UIntType = uint32_t;
+  using StorageType = uint32_t;
 
-  uint64_t check(UIntType start, UIntType stop, mpfr::RoundingMode rounding) {
+  uint64_t check(StorageType start, StorageType stop,
+                 mpfr::RoundingMode rounding) {
     mpfr::ForceRoundingMode r(rounding);
     if (!r.success)
       return (stop > start);
-    UIntType bits = start;
+    StorageType bits = start;
     uint64_t failed = 0;
     do {
       FPBits xbits(bits);
diff --git a/libc/test/src/math/sin_test.cpp b/libc/test/src/math/sin_test.cpp
index b18219577a7925..8bd8f52c90ee02 100644
--- a/libc/test/src/math/sin_test.cpp
+++ b/libc/test/src/math/sin_test.cpp
@@ -20,9 +20,9 @@ namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
 
 TEST_F(LlvmLibcSinTest, Range) {
   static constexpr double _2pi = 6.283185307179586;
-  constexpr UIntType COUNT = 100'000;
-  constexpr UIntType STEP = UIntType(-1) / COUNT;
-  for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+  constexpr StorageType COUNT = 100'000;
+  constexpr StorageType STEP = StorageType(-1) / COUNT;
+  for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
     double x = double(FPBits(v));
     // TODO: Expand the range of testing after range reduction is implemented.
     if (isnan(x) || isinf(x) || x > _2pi || x < -_2pi)
diff --git a/libc/test/src/math/smoke/CopySignTest.h b/libc/test/src/math/smoke/CopySignTest.h
index 5e748bb8fd8ed5..cb82d59783ac1b 100644
--- a/libc/test/src/math/smoke/CopySignTest.h
+++ b/libc/test/src/math/smoke/CopySignTest.h
@@ -31,9 +31,9 @@ class CopySignTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(CopySignFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       FPBits x_bits = FPBits(v);
       T x = T(v);
       if (x_bits.is_nan() || x_bits.is_inf())
diff --git a/libc/test/src/math/smoke/FDimTest.h b/libc/test/src/math/smoke/FDimTest.h
index 3fb82ed8bca2ce..5bca63604b0f55 100644
--- a/libc/test/src/math/smoke/FDimTest.h
+++ b/libc/test/src/math/smoke/FDimTest.h
@@ -17,7 +17,7 @@ class FDimTestTemplate : public LIBC_NAMESPACE::testing::Test {
 public:
   using FuncPtr = T (*)(T, T);
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   void test_na_n_arg(FuncPtr func) {
     EXPECT_FP_EQ(nan, func(nan, inf));
@@ -53,9 +53,9 @@ class FDimTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void test_in_range(FuncPtr func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0, w = UIntType(-1); i <= COUNT;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0, w = StorageType(-1); i <= COUNT;
          ++i, v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
       if (isnan(x) || isinf(x))
diff --git a/libc/test/src/math/smoke/FMaxTest.h b/libc/test/src/math/smoke/FMaxTest.h
index e1192a4e0a7d1a..8de21a7ba2585b 100644
--- a/libc/test/src/math/smoke/FMaxTest.h
+++ b/libc/test/src/math/smoke/FMaxTest.h
@@ -52,9 +52,9 @@ template <typename T> class FMaxTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(FMaxFunc func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0, w = UIntType(-1); i <= COUNT;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0, w = StorageType(-1); i <= COUNT;
          ++i, v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
       if (isnan(x) || isinf(x))
diff --git a/libc/test/src/math/smoke/FMinTest.h b/libc/test/src/math/smoke/FMinTest.h
index f0764ec3855b23..a6e3c78d85caff 100644
--- a/libc/test/src/math/smoke/FMinTest.h
+++ b/libc/test/src/math/smoke/FMinTest.h
@@ -52,9 +52,9 @@ template <typename T> class FMinTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(FMinFunc func) {
-    constexpr UIntType COUNT = 100'001;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0, w = UIntType(-1); i <= COUNT;
+    constexpr StorageType COUNT = 100'001;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0, w = StorageType(-1); i <= COUNT;
          ++i, v += STEP, w -= STEP) {
       T x = T(FPBits(v)), y = T(FPBits(w));
       if (isnan(x) || isinf(x))
diff --git a/libc/test/src/math/smoke/FmaTest.h b/libc/test/src/math/smoke/FmaTest.h
index 1da9652bfee155..0b4c7001f936ef 100644
--- a/libc/test/src/math/smoke/FmaTest.h
+++ b/libc/test/src/math/smoke/FmaTest.h
@@ -18,7 +18,7 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
 private:
   using Func = T (*)(T, T, T);
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
   const T nan = T(FPBits::build_quiet_nan(1));
   const T inf = T(FPBits::inf());
   const T neg_inf = T(FPBits::neg_inf());
@@ -39,9 +39,9 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
     // Test underflow rounding up.
     EXPECT_FP_EQ(func(T(0.5), T(FPBits(FPBits::MIN_SUBNORMAL)),
                       T(FPBits(FPBits::MIN_SUBNORMAL))),
-                 T(FPBits(UIntType(2))));
+                 T(FPBits(StorageType(2))));
     // Test underflow rounding down.
-    T v = T(FPBits(FPBits::MIN_NORMAL + UIntType(1)));
+    T v = T(FPBits(FPBits::MIN_NORMAL + StorageType(1)));
     EXPECT_FP_EQ(func(T(1) / T(FPBits::MIN_NORMAL << 1), v,
                       T(FPBits(FPBits::MIN_NORMAL))),
                  v);
diff --git a/libc/test/src/math/smoke/FrexpTest.h b/libc/test/src/math/smoke/FrexpTest.h
index 058fe754bff218..21e3fc057cdb9a 100644
--- a/libc/test/src/math/smoke/FrexpTest.h
+++ b/libc/test/src/math/smoke/FrexpTest.h
@@ -16,8 +16,9 @@ template <typename T> class FrexpTest : public LIBC_NAMESPACE::testing::Test {
 
   DECLARE_SPECIAL_CONSTANTS(T)
 
-  static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
+  static constexpr StorageType HIDDEN_BIT =
+      StorageType(1)
+      << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_LEN;
 
 public:
   typedef T (*FrexpFunc)(T, int *);
diff --git a/libc/test/src/math/smoke/HypotTest.h b/libc/test/src/math/smoke/HypotTest.h
index 22c2fe4d1c3593..308dbb50c95b78 100644
--- a/libc/test/src/math/smoke/HypotTest.h
+++ b/libc/test/src/math/smoke/HypotTest.h
@@ -20,7 +20,7 @@ class HypotTestTemplate : public LIBC_NAMESPACE::testing::Test {
 private:
   using Func = T (*)(T, T);
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
   const T nan = T(FPBits::build_quiet_nan(1));
   const T inf = T(FPBits::inf());
   const T neg_inf = T(FPBits::neg_inf());
diff --git a/libc/test/src/math/smoke/ILogbTest.h b/libc/test/src/math/smoke/ILogbTest.h
index 9e12b4515c2852..565a476112d096 100644
--- a/libc/test/src/math/smoke/ILogbTest.h
+++ b/libc/test/src/math/smoke/ILogbTest.h
@@ -74,12 +74,12 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
   template <typename T>
   void test_subnormal_range(typename ILogbFunc<T>::Func func) {
     using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-    using UIntType = typename FPBits::UIntType;
-    constexpr UIntType COUNT = 10'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_SUBNORMAL) - UIntType(FPBits::MIN_SUBNORMAL)) /
-        COUNT;
-    for (UIntType v = FPBits::MIN_SUBNORMAL; v <= FPBits::MAX_SUBNORMAL;
+    using StorageType = typename FPBits::StorageType;
+    constexpr StorageType COUNT = 10'001;
+    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
+                                  StorageType(FPBits::MIN_SUBNORMAL)) /
+                                 COUNT;
+    for (StorageType v = FPBits::MIN_SUBNORMAL; v <= FPBits::MAX_SUBNORMAL;
          v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x) || x == 0.0)
@@ -94,11 +94,13 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
   template <typename T>
   void test_normal_range(typename ILogbFunc<T>::Func func) {
     using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-    using UIntType = typename FPBits::UIntType;
-    constexpr UIntType COUNT = 10'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_NORMAL) - UIntType(FPBits::MIN_NORMAL)) / COUNT;
-    for (UIntType v = FPBits::MIN_NORMAL; v <= FPBits::MAX_NORMAL; v += STEP) {
+    using StorageType = typename FPBits::StorageType;
+    constexpr StorageType COUNT = 10'001;
+    constexpr StorageType STEP =
+        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
+        COUNT;
+    for (StorageType v = FPBits::MIN_NORMAL; v <= FPBits::MAX_NORMAL;
+         v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x) || x == 0.0)
         continue;
diff --git a/libc/test/src/math/smoke/LdExpTest.h b/libc/test/src/math/smoke/LdExpTest.h
index 5b1e242d81440e..4279b9356b252a 100644
--- a/libc/test/src/math/smoke/LdExpTest.h
+++ b/libc/test/src/math/smoke/LdExpTest.h
@@ -22,10 +22,10 @@ template <typename T>
 class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using NormalFloat = LIBC_NAMESPACE::fputil::NormalFloat<T>;
-  using UIntType = typename FPBits::UIntType;
-  static constexpr UIntType FRACTION_BITS = FPBits::FRACTION_BITS;
+  using StorageType = typename FPBits::StorageType;
+  static constexpr StorageType FRACTION_LEN = FPBits::FRACTION_LEN;
   // A normalized mantissa to be used with tests.
-  static constexpr UIntType MANTISSA = NormalFloat::ONE + 0x1234;
+  static constexpr StorageType MANTISSA = NormalFloat::ONE + 0x1234;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
@@ -69,7 +69,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnNormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
+    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -82,11 +82,11 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnSubnormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXPONENT_BIAS + int32_t(FRACTION_BITS);
+    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
-    T x = NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 0);
+    T x = NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 0);
     for (int32_t exp : exp_array) {
       ASSERT_FP_EQ(func(x, -exp), x > 0 ? zero : neg_zero);
     }
@@ -98,9 +98,9 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
         NormalFloat(100, MANTISSA, 0), NormalFloat(-100, MANTISSA, 0),
         NormalFloat(100, MANTISSA, 1), NormalFloat(-100, MANTISSA, 1),
         // Subnormal numbers
-        NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 0),
-        NormalFloat(-FPBits::EXPONENT_BIAS, MANTISSA, 1)};
-    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_BITS); ++exp) {
+        NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 0),
+        NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 1)};
+    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_LEN); ++exp) {
       for (T x : val_array) {
         // We compare the result of ldexp with the result
         // of the native multiplication/division instruction.
@@ -118,14 +118,14 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     }
 
     // Normal which trigger mantissa overflow.
-    T x = NormalFloat(-FPBits::EXPONENT_BIAS + 1,
-                      UIntType(2) * NormalFloat::ONE - UIntType(1), 0);
+    T x = NormalFloat(-FPBits::EXP_BIAS + 1,
+                      StorageType(2) * NormalFloat::ONE - StorageType(1), 0);
     ASSERT_FP_EQ(func(x, -1), x / 2);
     ASSERT_FP_EQ(func(-x, -1), -x / 2);
 
     // Start with a normal number high exponent but pass a very low number for
     // exp. The result should be a subnormal number.
-    x = NormalFloat(FPBits::EXPONENT_BIAS, NormalFloat::ONE, 0);
+    x = NormalFloat(FPBits::EXP_BIAS, NormalFloat::ONE, 0);
     int exp = -FPBits::MAX_EXPONENT - 5;
     T result = func(x, exp);
     FPBits result_bits(result);
@@ -134,12 +134,12 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_EQ(result_bits.get_biased_exponent(), uint16_t(0));
     // But if the exp is so less that normalization leads to zero, then
     // the result should be zero.
-    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_BITS) - 5);
+    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_LEN) - 5);
     ASSERT_TRUE(FPBits(result).is_zero());
 
     // Start with a subnormal number but pass a very high number for exponent.
     // The result should not be infinity.
-    x = NormalFloat(-FPBits::EXPONENT_BIAS + 1, NormalFloat::ONE >> 10, 0);
+    x = NormalFloat(-FPBits::EXP_BIAS + 1, NormalFloat::ONE >> 10, 0);
     exp = FPBits::MAX_EXPONENT + 5;
     ASSERT_FALSE(FPBits(func(x, exp)).is_inf());
     // But if the exp is large enough to oversome than the normalization shift,
diff --git a/libc/test/src/math/smoke/LogbTest.h b/libc/test/src/math/smoke/LogbTest.h
index 2a5a93b44c93ee..1359bf8c81313e 100644
--- a/libc/test/src/math/smoke/LogbTest.h
+++ b/libc/test/src/math/smoke/LogbTest.h
@@ -16,8 +16,9 @@ template <typename T> class LogbTest : public LIBC_NAMESPACE::testing::Test {
 
   DECLARE_SPECIAL_CONSTANTS(T)
 
-  static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
+  static constexpr StorageType HIDDEN_BIT =
+      StorageType(1)
+      << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_LEN;
 
 public:
   typedef T (*LogbFunc)(T);
@@ -68,10 +69,10 @@ template <typename T> class LogbTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(LogbFunc func) {
-    using UIntType = typename FPBits::UIntType;
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    using StorageType = typename FPBits::StorageType;
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = static_cast<T>(FPBits(v));
       if (isnan(x) || isinf(x) || x == 0.0l)
         continue;
diff --git a/libc/test/src/math/smoke/ModfTest.h b/libc/test/src/math/smoke/ModfTest.h
index 012a3247f92ead..b0a2aed9df57d2 100644
--- a/libc/test/src/math/smoke/ModfTest.h
+++ b/libc/test/src/math/smoke/ModfTest.h
@@ -81,9 +81,9 @@ template <typename T> class ModfTest : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testRange(ModfFunc func) {
-    constexpr UIntType COUNT = 100'000;
-    constexpr UIntType STEP = UIntType(-1) / COUNT;
-    for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    constexpr StorageType COUNT = 100'000;
+    constexpr StorageType STEP = StorageType(-1) / COUNT;
+    for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
       T x = T(FPBits(v));
       if (isnan(x) || isinf(x) || x == T(0.0))
         continue;
diff --git a/libc/test/src/math/smoke/NextAfterTest.h b/libc/test/src/math/smoke/NextAfterTest.h
index e8a7281fc67548..ae80ec835a92d0 100644
--- a/libc/test/src/math/smoke/NextAfterTest.h
+++ b/libc/test/src/math/smoke/NextAfterTest.h
@@ -31,20 +31,20 @@
 template <typename T>
 class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   static constexpr int BIT_WIDTH_OF_TYPE =
-      LIBC_NAMESPACE::fputil::FloatProperties<T>::BIT_WIDTH;
+      LIBC_NAMESPACE::fputil::FloatProperties<T>::TOTAL_LEN;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
   const T inf = T(FPBits::inf());
   const T neg_inf = T(FPBits::neg_inf());
   const T nan = T(FPBits::build_quiet_nan(1));
-  const UIntType min_subnormal = FPBits::MIN_SUBNORMAL;
-  const UIntType max_subnormal = FPBits::MAX_SUBNORMAL;
-  const UIntType min_normal = FPBits::MIN_NORMAL;
-  const UIntType max_normal = FPBits::MAX_NORMAL;
+  const StorageType min_subnormal = FPBits::MIN_SUBNORMAL;
+  const StorageType max_subnormal = FPBits::MAX_SUBNORMAL;
+  const StorageType min_normal = FPBits::MIN_NORMAL;
+  const StorageType max_normal = FPBits::MAX_NORMAL;
 
 public:
   typedef T (*NextAfterFunc)(T, T);
@@ -61,12 +61,12 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     // 'from' is zero|neg_zero.
     T x = zero;
     T result = func(x, T(1));
-    UIntType expected_bits = 1;
+    StorageType expected_bits = 1;
     T expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, T(-1));
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -77,7 +77,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -1);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -95,13 +95,13 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
 
     result = func(x, -1);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, 0);
     expected_bits =
-        (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -116,7 +116,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
     result = func(x, -1);
     expected_bits =
-        (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
     ASSERT_FP_EQ_WITH_UNDERFLOW(func(x, 0), T(-0.0));
@@ -135,12 +135,13 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -inf);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
+    expected_bits =
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -162,7 +163,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = neg_inf;
     result = func(x, 0);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, neg_inf), neg_inf);
@@ -179,7 +180,8 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result = func(x, T(33.0));
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
-    ASSERT_EQ(result_bits.get_mantissa(), x_bits.get_mantissa() + UIntType(1));
+    ASSERT_EQ(result_bits.get_mantissa(),
+              x_bits.get_mantissa() + StorageType(1));
 
     x = -x;
 
@@ -192,7 +194,8 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result = func(x, T(-33.0));
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
-    ASSERT_EQ(result_bits.get_mantissa(), x_bits.get_mantissa() + UIntType(1));
+    ASSERT_EQ(result_bits.get_mantissa(),
+              x_bits.get_mantissa() + StorageType(1));
   }
 };
 
diff --git a/libc/test/src/math/smoke/NextTowardTest.h b/libc/test/src/math/smoke/NextTowardTest.h
index 8a6bd1c40b570c..6333b69c70595d 100644
--- a/libc/test/src/math/smoke/NextTowardTest.h
+++ b/libc/test/src/math/smoke/NextTowardTest.h
@@ -33,10 +33,10 @@ template <typename T>
 class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using ToFPBits = LIBC_NAMESPACE::fputil::FPBits<long double>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   static constexpr int BIT_WIDTH_OF_TYPE =
-      LIBC_NAMESPACE::fputil::FloatProperties<T>::BIT_WIDTH;
+      LIBC_NAMESPACE::fputil::FloatProperties<T>::TOTAL_LEN;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
@@ -48,10 +48,10 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
   const long double to_neg_zero = ToFPBits::neg_zero();
   const long double to_nan = ToFPBits::build_quiet_nan(1);
 
-  const UIntType min_subnormal = FPBits::MIN_SUBNORMAL;
-  const UIntType max_subnormal = FPBits::MAX_SUBNORMAL;
-  const UIntType min_normal = FPBits::MIN_NORMAL;
-  const UIntType max_normal = FPBits::MAX_NORMAL;
+  const StorageType min_subnormal = FPBits::MIN_SUBNORMAL;
+  const StorageType max_subnormal = FPBits::MAX_SUBNORMAL;
+  const StorageType min_normal = FPBits::MIN_NORMAL;
+  const StorageType max_normal = FPBits::MAX_NORMAL;
 
 public:
   typedef T (*NextTowardFunc)(T, long double);
@@ -68,12 +68,12 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     // 'from' is zero|neg_zero.
     T x = zero;
     T result = func(x, 1);
-    UIntType expected_bits = 1;
+    StorageType expected_bits = 1;
     T expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -1);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -84,7 +84,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -1);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -102,13 +102,13 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
 
     result = func(x, -1);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, 0);
     expected_bits =
-        (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -123,7 +123,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
     result = func(x, -1);
     expected_bits =
-        (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
     ASSERT_FP_EQ_WITH_UNDERFLOW(func(x, 0), T(-0.0));
@@ -142,12 +142,13 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -inf);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
+    expected_bits =
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -161,7 +162,8 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal - 1;
+    expected_bits =
+        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ_WITH_OVERFLOW(func(x, -inf), -inf);
@@ -176,7 +178,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = neg_inf;
     result = func(x, 0);
-    expected_bits = (UIntType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
+    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, neg_inf), neg_inf);
@@ -193,7 +195,8 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result = func(x, 33.0);
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
-    ASSERT_EQ(result_bits.get_mantissa(), x_bits.get_mantissa() + UIntType(1));
+    ASSERT_EQ(result_bits.get_mantissa(),
+              x_bits.get_mantissa() + StorageType(1));
 
     x = -x;
 
@@ -206,7 +209,8 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     result = func(x, -33.0);
     result_bits = FPBits(result);
     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
-    ASSERT_EQ(result_bits.get_mantissa(), x_bits.get_mantissa() + UIntType(1));
+    ASSERT_EQ(result_bits.get_mantissa(),
+              x_bits.get_mantissa() + StorageType(1));
   }
 };
 
diff --git a/libc/test/src/math/smoke/RIntTest.h b/libc/test/src/math/smoke/RIntTest.h
index 839240fa9c9820..89dc1a59d19d64 100644
--- a/libc/test/src/math/smoke/RIntTest.h
+++ b/libc/test/src/math/smoke/RIntTest.h
@@ -28,7 +28,7 @@ class RIntTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
 private:
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
diff --git a/libc/test/src/math/smoke/RemQuoTest.h b/libc/test/src/math/smoke/RemQuoTest.h
index 514190b6b31caa..4d4a12717f0bb8 100644
--- a/libc/test/src/math/smoke/RemQuoTest.h
+++ b/libc/test/src/math/smoke/RemQuoTest.h
@@ -18,7 +18,7 @@
 template <typename T>
 class RemQuoTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
diff --git a/libc/test/src/math/smoke/RoundToIntegerTest.h b/libc/test/src/math/smoke/RoundToIntegerTest.h
index 31ce852fb75df2..53f46f6e6aa4e9 100644
--- a/libc/test/src/math/smoke/RoundToIntegerTest.h
+++ b/libc/test/src/math/smoke/RoundToIntegerTest.h
@@ -27,7 +27,7 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
 private:
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<F>;
-  using UIntType = typename FPBits::UIntType;
+  using StorageType = typename FPBits::StorageType;
 
   const F zero = F(LIBC_NAMESPACE::fputil::FPBits<F>::zero());
   const F neg_zero = F(LIBC_NAMESPACE::fputil::FPBits<F>::neg_zero());
@@ -109,11 +109,11 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
   }
 
   void testSubnormalRange(RoundToIntegerFunc func) {
-    constexpr UIntType COUNT = 1'000'001;
-    constexpr UIntType STEP =
-        (UIntType(FPBits::MAX_SUBNORMAL) - UIntType(FPBits::MIN_SUBNORMAL)) /
-        COUNT;
-    for (UIntType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
+    constexpr StorageType COUNT = 1'000'001;
+    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
+                                  StorageType(FPBits::MIN_SUBNORMAL)) /
+                                 COUNT;
+    for (StorageType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
          i += STEP) {
       F x = F(FPBits(i));
       if (x == F(0.0))
diff --git a/libc/test/src/math/smoke/SqrtTest.h b/libc/test/src/math/smoke/SqrtTest.h
index 8628658b9b1d49..5e8e099f90f54e 100644
--- a/libc/test/src/math/smoke/SqrtTest.h
+++ b/libc/test/src/math/smoke/SqrtTest.h
@@ -16,8 +16,9 @@ template <typename T> class SqrtTest : public LIBC_NAMESPACE::testing::Test {
 
   DECLARE_SPECIAL_CONSTANTS(T)
 
-  static constexpr UIntType HIDDEN_BIT =
-      UIntType(1) << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_BITS;
+  static constexpr StorageType HIDDEN_BIT =
+      StorageType(1)
+      << LIBC_NAMESPACE::fputil::FloatProperties<T>::FRACTION_LEN;
 
 public:
   typedef T (*SqrtFunc)(T);
diff --git a/libc/test/src/math/tan_test.cpp b/libc/test/src/math/tan_test.cpp
index b35658cc50f8a8..ab88e8eb7199dd 100644
--- a/libc/test/src/math/tan_test.cpp
+++ b/libc/test/src/math/tan_test.cpp
@@ -19,9 +19,9 @@ namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
 
 TEST_F(LlvmLibcTanTest, Range) {
   static constexpr double _2pi = 6.283185307179586;
-  constexpr UIntType COUNT = 100'000;
-  constexpr UIntType STEP = UIntType(-1) / COUNT;
-  for (UIntType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+  constexpr StorageType COUNT = 100'000;
+  constexpr StorageType STEP = StorageType(-1) / COUNT;
+  for (StorageType i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
     double x = double(FPBits(v));
     // TODO: Expand the range of testing after range reduction is implemented.
     if (isnan(x) || isinf(x) || x > _2pi || x < -_2pi)
diff --git a/libc/utils/MPFRWrapper/MPFRUtils.cpp b/libc/utils/MPFRWrapper/MPFRUtils.cpp
index c568d7ec54a0e7..0729a1a4434027 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.cpp
+++ b/libc/utils/MPFRWrapper/MPFRUtils.cpp
@@ -468,7 +468,7 @@ class MPFRNumber {
       mpfr_sub(inputMPFR.value, value, inputMPFR.value, MPFR_RNDN);
       mpfr_abs(inputMPFR.value, inputMPFR.value, MPFR_RNDN);
       mpfr_mul_2si(inputMPFR.value, inputMPFR.value,
-                   -thisExponent + int(fputil::FPBits<T>::FRACTION_BITS),
+                   -thisExponent + int(fputil::FPBits<T>::FRACTION_LEN),
                    MPFR_RNDN);
       return inputMPFR;
     }
@@ -496,12 +496,12 @@ class MPFRNumber {
 
     mpfr_sub(minMPFR.value, pivot.value, minMPFR.value, MPFR_RNDN);
     mpfr_mul_2si(minMPFR.value, minMPFR.value,
-                 -minExponent + int(fputil::FPBits<T>::FRACTION_BITS),
+                 -minExponent + int(fputil::FPBits<T>::FRACTION_LEN),
                  MPFR_RNDN);
 
     mpfr_sub(maxMPFR.value, maxMPFR.value, pivot.value, MPFR_RNDN);
     mpfr_mul_2si(maxMPFR.value, maxMPFR.value,
-                 -maxExponent + int(fputil::FPBits<T>::FRACTION_BITS),
+                 -maxExponent + int(fputil::FPBits<T>::FRACTION_LEN),
                  MPFR_RNDN);
 
     mpfr_add(minMPFR.value, minMPFR.value, maxMPFR.value, MPFR_RNDN);

>From a693ee1ce0a60dd4ab30471df5a7e8adab5066fc Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 09:37:02 +0000
Subject: [PATCH 03/10] Rename DUIntType in DStorageType

---
 libc/src/__support/FPUtil/Hypot.h | 16 ++++++++--------
 1 file changed, 8 insertions(+), 8 deletions(-)

diff --git a/libc/src/__support/FPUtil/Hypot.h b/libc/src/__support/FPUtil/Hypot.h
index a6f0029afca317..1f1cf31c801791 100644
--- a/libc/src/__support/FPUtil/Hypot.h
+++ b/libc/src/__support/FPUtil/Hypot.h
@@ -106,7 +106,7 @@ template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
 LIBC_INLINE T hypot(T x, T y) {
   using FPBits_t = FPBits<T>;
   using StorageType = typename FPBits<T>::StorageType;
-  using DUIntType = typename DoubleLength<StorageType>::Type;
+  using DStorageType = typename DoubleLength<StorageType>::Type;
 
   FPBits_t x_bits(x), y_bits(y);
 
@@ -130,7 +130,7 @@ LIBC_INLINE T hypot(T x, T y) {
 
   uint16_t a_exp, b_exp, out_exp;
   StorageType a_mant, b_mant;
-  DUIntType a_mant_sq, b_mant_sq;
+  DStorageType a_mant_sq, b_mant_sq;
   bool sticky_bits;
 
   if (abs(x) >= abs(y)) {
@@ -170,8 +170,8 @@ LIBC_INLINE T hypot(T x, T y) {
     b_exp = 1;
   }
 
-  a_mant_sq = static_cast<DUIntType>(a_mant) * a_mant;
-  b_mant_sq = static_cast<DUIntType>(b_mant) * b_mant;
+  a_mant_sq = static_cast<DStorageType>(a_mant) * a_mant;
+  b_mant_sq = static_cast<DStorageType>(b_mant) * b_mant;
 
   // At this point, a_exp >= b_exp > a_exp - 25, so in order to line up aSqMant
   // and bSqMant, we need to shift bSqMant to the right by (a_exp - b_exp) bits.
@@ -180,12 +180,12 @@ LIBC_INLINE T hypot(T x, T y) {
   // difference between a and b.
   uint16_t shift_length = static_cast<uint16_t>(2 * (a_exp - b_exp));
   sticky_bits =
-      ((b_mant_sq & ((DUIntType(1) << shift_length) - DUIntType(1))) !=
-       DUIntType(0));
+      ((b_mant_sq & ((DStorageType(1) << shift_length) - DStorageType(1))) !=
+       DStorageType(0));
   b_mant_sq >>= shift_length;
 
-  DUIntType sum = a_mant_sq + b_mant_sq;
-  if (sum >= (DUIntType(1) << (2 * y_mant_width + 2))) {
+  DStorageType sum = a_mant_sq + b_mant_sq;
+  if (sum >= (DStorageType(1) << (2 * y_mant_width + 2))) {
     // a^2 + b^2 >= 4* leading_one^2, so we will need an extra bit to the left.
     if (leading_one == ONE) {
       // For normal result, we discard the last 2 bits of the sum and increase

>From 23f7ed0a7f7ca3635dc34b9ee90c52ac88e75fca Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 09:53:42 +0000
Subject: [PATCH 04/10] Replace `(StorageType(1) << (BIT_WIDTH_OF_TYPE - 1))`
 with `SIGN_MASK`

---
 libc/test/src/math/NextAfterTest.h        | 22 ++++++++------------
 libc/test/src/math/smoke/NextAfterTest.h  | 22 ++++++++------------
 libc/test/src/math/smoke/NextTowardTest.h | 25 ++++++++---------------
 3 files changed, 25 insertions(+), 44 deletions(-)

diff --git a/libc/test/src/math/NextAfterTest.h b/libc/test/src/math/NextAfterTest.h
index e044adba4a84ed..005c5730e8f52d 100644
--- a/libc/test/src/math/NextAfterTest.h
+++ b/libc/test/src/math/NextAfterTest.h
@@ -22,9 +22,6 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using StorageType = typename FPBits::StorageType;
 
-  static constexpr int BIT_WIDTH_OF_TYPE =
-      LIBC_NAMESPACE::fputil::FloatProperties<T>::TOTAL_LEN;
-
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
   const T inf = T(FPBits::inf());
@@ -55,7 +52,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, T(-1));
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = FPBits::SIGN_MASK + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -66,7 +63,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, -1);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = FPBits::SIGN_MASK + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -84,13 +81,12 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
 
     result = func(x, -1);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
+    expected_bits = FPBits::SIGN_MASK + min_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, 0);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
+    expected_bits = FPBits::SIGN_MASK + max_subnormal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -104,8 +100,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, -1);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
+    expected_bits = FPBits::SIGN_MASK + min_subnormal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, 0), T(-0.0));
@@ -124,13 +119,12 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
+    expected_bits = FPBits::SIGN_MASK + max_subnormal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, -inf);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
+    expected_bits = FPBits::SIGN_MASK + min_normal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -152,7 +146,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = neg_inf;
     result = func(x, 0);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
+    expected_bits = FPBits::SIGN_MASK + max_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, neg_inf), neg_inf);
diff --git a/libc/test/src/math/smoke/NextAfterTest.h b/libc/test/src/math/smoke/NextAfterTest.h
index ae80ec835a92d0..c301f5ebe228e1 100644
--- a/libc/test/src/math/smoke/NextAfterTest.h
+++ b/libc/test/src/math/smoke/NextAfterTest.h
@@ -33,9 +33,6 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using StorageType = typename FPBits::StorageType;
 
-  static constexpr int BIT_WIDTH_OF_TYPE =
-      LIBC_NAMESPACE::fputil::FloatProperties<T>::TOTAL_LEN;
-
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
   const T inf = T(FPBits::inf());
@@ -66,7 +63,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, T(-1));
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = FPBits::SIGN_MASK + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -77,7 +74,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -1);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = FPBits::SIGN_MASK + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -95,13 +92,12 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
 
     result = func(x, -1);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
+    expected_bits = FPBits::SIGN_MASK + min_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, 0);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
+    expected_bits = FPBits::SIGN_MASK + max_subnormal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -115,8 +111,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, -1);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
+    expected_bits = FPBits::SIGN_MASK + min_subnormal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
     ASSERT_FP_EQ_WITH_UNDERFLOW(func(x, 0), T(-0.0));
@@ -135,13 +130,12 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
+    expected_bits = FPBits::SIGN_MASK + max_subnormal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -inf);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
+    expected_bits = FPBits::SIGN_MASK + min_normal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -163,7 +157,7 @@ class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = neg_inf;
     result = func(x, 0);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
+    expected_bits = FPBits::SIGN_MASK + max_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, neg_inf), neg_inf);
diff --git a/libc/test/src/math/smoke/NextTowardTest.h b/libc/test/src/math/smoke/NextTowardTest.h
index 6333b69c70595d..359d4dea0dbc86 100644
--- a/libc/test/src/math/smoke/NextTowardTest.h
+++ b/libc/test/src/math/smoke/NextTowardTest.h
@@ -35,9 +35,6 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using ToFPBits = LIBC_NAMESPACE::fputil::FPBits<long double>;
   using StorageType = typename FPBits::StorageType;
 
-  static constexpr int BIT_WIDTH_OF_TYPE =
-      LIBC_NAMESPACE::fputil::FloatProperties<T>::TOTAL_LEN;
-
   const T zero = T(FPBits::zero());
   const T neg_zero = T(FPBits::neg_zero());
   const T inf = T(FPBits::inf());
@@ -73,7 +70,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -1);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = FPBits::SIGN_MASK + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -84,7 +81,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -1);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + 1;
+    expected_bits = FPBits::SIGN_MASK + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -102,13 +99,12 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
     x = -x;
 
     result = func(x, -1);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal;
+    expected_bits = FPBits::SIGN_MASK + min_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
     result = func(x, 0);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal - 1;
+    expected_bits = FPBits::SIGN_MASK + max_subnormal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
@@ -122,8 +118,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, -1);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_subnormal + 1;
+    expected_bits = FPBits::SIGN_MASK + min_subnormal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
     ASSERT_FP_EQ_WITH_UNDERFLOW(func(x, 0), T(-0.0));
@@ -142,13 +137,12 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_subnormal;
+    expected_bits = FPBits::SIGN_MASK + max_subnormal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ_WITH_UNDERFLOW(result, expected);
 
     result = func(x, -inf);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + min_normal + 1;
+    expected_bits = FPBits::SIGN_MASK + min_normal + 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
 
@@ -162,8 +156,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = -x;
     result = func(x, 0);
-    expected_bits =
-        (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal - 1;
+    expected_bits = FPBits::SIGN_MASK + max_normal - 1;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ_WITH_OVERFLOW(func(x, -inf), -inf);
@@ -178,7 +171,7 @@ class NextTowardTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     x = neg_inf;
     result = func(x, 0);
-    expected_bits = (StorageType(1) << (BIT_WIDTH_OF_TYPE - 1)) + max_normal;
+    expected_bits = FPBits::SIGN_MASK + max_normal;
     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
     ASSERT_FP_EQ(result, expected);
     ASSERT_FP_EQ(func(x, neg_inf), neg_inf);

>From aed9475feed942a9661ddcdc61776c7ba5995c4a Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 09:57:35 +0000
Subject: [PATCH 05/10] Use StorageType instead of MantissaInt for consistency

---
 libc/src/stdio/printf_core/float_dec_converter.h     |  6 +++---
 libc/src/stdio/printf_core/float_hex_converter.h     | 12 ++++++------
 libc/src/stdio/printf_core/float_inf_nan_converter.h |  4 ++--
 3 files changed, 11 insertions(+), 11 deletions(-)

diff --git a/libc/src/stdio/printf_core/float_dec_converter.h b/libc/src/stdio/printf_core/float_dec_converter.h
index d3fbe3187cb333..458f494d5edfda 100644
--- a/libc/src/stdio/printf_core/float_dec_converter.h
+++ b/libc/src/stdio/printf_core/float_dec_converter.h
@@ -31,7 +31,7 @@
 namespace LIBC_NAMESPACE {
 namespace printf_core {
 
-using MantissaInt = fputil::FPBits<long double>::StorageType;
+using StorageType = fputil::FPBits<long double>::StorageType;
 using DecimalString = IntegerToString<intmax_t>;
 using ExponentString =
     IntegerToString<intmax_t, radix::Dec::WithWidth<2>::WithSign>;
@@ -594,7 +594,7 @@ LIBC_INLINE int convert_float_dec_exp_typed(Writer *writer,
   constexpr int32_t FRACTION_LEN = fputil::FloatProperties<T>::FRACTION_LEN;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
-  MantissaInt mantissa = float_bits.get_explicit_mantissa();
+  StorageType mantissa = float_bits.get_explicit_mantissa();
 
   const char a = (to_conv.conv_name & 32) | 'A';
 
@@ -757,7 +757,7 @@ LIBC_INLINE int convert_float_dec_auto_typed(Writer *writer,
   constexpr int32_t FRACTION_LEN = fputil::FloatProperties<T>::FRACTION_LEN;
   bool is_negative = float_bits.get_sign();
   int exponent = float_bits.get_explicit_exponent();
-  MantissaInt mantissa = float_bits.get_explicit_mantissa();
+  StorageType mantissa = float_bits.get_explicit_mantissa();
 
   // From the standard: Let P (init_precision) equal the precision if nonzero, 6
   // if the precision is omitted, or 1 if the precision is zero.
diff --git a/libc/src/stdio/printf_core/float_hex_converter.h b/libc/src/stdio/printf_core/float_hex_converter.h
index 8e3f2f65b65436..a3a8c0420beffc 100644
--- a/libc/src/stdio/printf_core/float_hex_converter.h
+++ b/libc/src/stdio/printf_core/float_hex_converter.h
@@ -28,7 +28,7 @@ namespace printf_core {
 LIBC_INLINE int convert_float_hex_exp(Writer *writer,
                                       const FormatSection &to_conv) {
   using LDBits = fputil::FPBits<long double>;
-  using MantissaInt = LDBits::StorageType;
+  using StorageType = LDBits::StorageType;
   // All of the letters will be defined relative to variable a, which will be
   // the appropriate case based on the name of the conversion. This converts any
   // conversion name into the letter 'a' with the appropriate case.
@@ -36,7 +36,7 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
 
   bool is_negative;
   int exponent;
-  MantissaInt mantissa;
+  StorageType mantissa;
   bool is_inf_or_nan;
   uint32_t fraction_bits;
   if (to_conv.length_modifier == LengthModifier::L) {
@@ -100,9 +100,9 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
     const size_t shift_amount =
         (mant_len - intended_digits) * BITS_IN_HEX_DIGIT;
 
-    const MantissaInt truncated_bits =
-        mantissa & ((MantissaInt(1) << shift_amount) - 1);
-    const MantissaInt halfway_const = MantissaInt(1) << (shift_amount - 1);
+    const StorageType truncated_bits =
+        mantissa & ((StorageType(1) << shift_amount) - 1);
+    const StorageType halfway_const = StorageType(1) << (shift_amount - 1);
 
     mantissa >>= shift_amount;
 
@@ -128,7 +128,7 @@ LIBC_INLINE int convert_float_hex_exp(Writer *writer,
 
     // If the rounding caused an overflow, shift the mantissa and adjust the
     // exponent to match.
-    if (mantissa >= (MantissaInt(1) << (intended_digits * BITS_IN_HEX_DIGIT))) {
+    if (mantissa >= (StorageType(1) << (intended_digits * BITS_IN_HEX_DIGIT))) {
       mantissa >>= BITS_IN_HEX_DIGIT;
       exponent += BITS_IN_HEX_DIGIT;
     }
diff --git a/libc/src/stdio/printf_core/float_inf_nan_converter.h b/libc/src/stdio/printf_core/float_inf_nan_converter.h
index 906d20ff17f080..a0310dc88b5604 100644
--- a/libc/src/stdio/printf_core/float_inf_nan_converter.h
+++ b/libc/src/stdio/printf_core/float_inf_nan_converter.h
@@ -21,7 +21,7 @@
 namespace LIBC_NAMESPACE {
 namespace printf_core {
 
-using MantissaInt = fputil::FPBits<long double>::StorageType;
+using StorageType = fputil::FPBits<long double>::StorageType;
 
 LIBC_INLINE int convert_inf_nan(Writer *writer, const FormatSection &to_conv) {
   // All of the letters will be defined relative to variable a, which will be
@@ -29,7 +29,7 @@ LIBC_INLINE int convert_inf_nan(Writer *writer, const FormatSection &to_conv) {
   const char a = (to_conv.conv_name & 32) | 'A';
 
   bool is_negative;
-  MantissaInt mantissa;
+  StorageType mantissa;
   if (to_conv.length_modifier == LengthModifier::L) {
     fputil::FPBits<long double>::StorageType float_raw = to_conv.conv_val_raw;
     fputil::FPBits<long double> float_bits(float_raw);

>From d15f0fe0d99844eef943c9d850c5039700f8b1c7 Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 10:07:58 +0000
Subject: [PATCH 06/10] Remove redundant `StorageType` casts

---
 libc/test/src/math/FmaTest.h                  | 8 +++-----
 libc/test/src/math/ILogbTest.h                | 8 +++-----
 libc/test/src/math/RIntTest.h                 | 8 +++-----
 libc/test/src/math/RemQuoTest.h               | 8 +++-----
 libc/test/src/math/RoundToIntegerTest.h       | 8 +++-----
 libc/test/src/math/smoke/ILogbTest.h          | 8 +++-----
 libc/test/src/math/smoke/RoundToIntegerTest.h | 5 ++---
 7 files changed, 20 insertions(+), 33 deletions(-)

diff --git a/libc/test/src/math/FmaTest.h b/libc/test/src/math/FmaTest.h
index 6a35ec96ca5689..57eb43821c5a4e 100644
--- a/libc/test/src/math/FmaTest.h
+++ b/libc/test/src/math/FmaTest.h
@@ -68,9 +68,8 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
   void test_subnormal_range(Func func) {
     constexpr StorageType COUNT = 100'001;
-    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
-                                  StorageType(FPBits::MIN_SUBNORMAL)) /
-                                 COUNT;
+    constexpr StorageType STEP =
+        (FPBits::MAX_SUBNORMAL - FPBits::MIN_SUBNORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_SUBNORMAL, w = FPBits::MAX_SUBNORMAL;
          v <= FPBits::MAX_SUBNORMAL && w >= FPBits::MIN_SUBNORMAL;
          v += STEP, w -= STEP) {
@@ -85,8 +84,7 @@ class FmaTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void test_normal_range(Func func) {
     constexpr StorageType COUNT = 100'001;
     constexpr StorageType STEP =
-        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
-        COUNT;
+        (FPBits::MAX_NORMAL - FPBits::MIN_NORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
          v <= FPBits::MAX_NORMAL && w >= FPBits::MIN_NORMAL;
          v += STEP, w -= STEP) {
diff --git a/libc/test/src/math/ILogbTest.h b/libc/test/src/math/ILogbTest.h
index 565a476112d096..9f857da5547c7d 100644
--- a/libc/test/src/math/ILogbTest.h
+++ b/libc/test/src/math/ILogbTest.h
@@ -76,9 +76,8 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
     using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
     using StorageType = typename FPBits::StorageType;
     constexpr StorageType COUNT = 10'001;
-    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
-                                  StorageType(FPBits::MIN_SUBNORMAL)) /
-                                 COUNT;
+    constexpr StorageType STEP =
+        (FPBits::MAX_SUBNORMAL - FPBits::MIN_SUBNORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_SUBNORMAL; v <= FPBits::MAX_SUBNORMAL;
          v += STEP) {
       T x = T(FPBits(v));
@@ -97,8 +96,7 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
     using StorageType = typename FPBits::StorageType;
     constexpr StorageType COUNT = 10'001;
     constexpr StorageType STEP =
-        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
-        COUNT;
+        (FPBits::MAX_NORMAL - FPBits::MIN_NORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_NORMAL; v <= FPBits::MAX_NORMAL;
          v += STEP) {
       T x = T(FPBits(v));
diff --git a/libc/test/src/math/RIntTest.h b/libc/test/src/math/RIntTest.h
index 8b4dca52ad3347..2471b831759fe7 100644
--- a/libc/test/src/math/RIntTest.h
+++ b/libc/test/src/math/RIntTest.h
@@ -94,9 +94,8 @@ class RIntTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
   void testSubnormalRange(RIntFunc func) {
     constexpr StorageType COUNT = 100'001;
-    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
-                                  StorageType(FPBits::MIN_SUBNORMAL)) /
-                                 COUNT;
+    constexpr StorageType STEP =
+        (FPBits::MAX_SUBNORMAL - FPBits::MIN_SUBNORMAL) / COUNT;
     for (StorageType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
          i += STEP) {
       T x = T(FPBits(i));
@@ -111,8 +110,7 @@ class RIntTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testNormalRange(RIntFunc func) {
     constexpr StorageType COUNT = 100'001;
     constexpr StorageType STEP =
-        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
-        COUNT;
+        (FPBits::MAX_NORMAL - FPBits::MIN_NORMAL) / COUNT;
     for (StorageType i = FPBits::MIN_NORMAL; i <= FPBits::MAX_NORMAL;
          i += STEP) {
       T x = T(FPBits(i));
diff --git a/libc/test/src/math/RemQuoTest.h b/libc/test/src/math/RemQuoTest.h
index af15896d2bfe73..6495b61331dbb5 100644
--- a/libc/test/src/math/RemQuoTest.h
+++ b/libc/test/src/math/RemQuoTest.h
@@ -96,9 +96,8 @@ class RemQuoTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
   void testSubnormalRange(RemQuoFunc func) {
     constexpr StorageType COUNT = 100'001;
-    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
-                                  StorageType(FPBits::MIN_SUBNORMAL)) /
-                                 COUNT;
+    constexpr StorageType STEP =
+        (FPBits::MAX_SUBNORMAL - FPBits::MIN_SUBNORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_SUBNORMAL, w = FPBits::MAX_SUBNORMAL;
          v <= FPBits::MAX_SUBNORMAL && w >= FPBits::MIN_SUBNORMAL;
          v += STEP, w -= STEP) {
@@ -113,8 +112,7 @@ class RemQuoTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testNormalRange(RemQuoFunc func) {
     constexpr StorageType COUNT = 1'001;
     constexpr StorageType STEP =
-        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
-        COUNT;
+        (FPBits::MAX_NORMAL - FPBits::MIN_NORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_NORMAL, w = FPBits::MAX_NORMAL;
          v <= FPBits::MAX_NORMAL && w >= FPBits::MIN_NORMAL;
          v += STEP, w -= STEP) {
diff --git a/libc/test/src/math/RoundToIntegerTest.h b/libc/test/src/math/RoundToIntegerTest.h
index aebf5c95953763..d76b5a10dfa259 100644
--- a/libc/test/src/math/RoundToIntegerTest.h
+++ b/libc/test/src/math/RoundToIntegerTest.h
@@ -214,9 +214,8 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
   void testSubnormalRange(RoundToIntegerFunc func) {
     constexpr StorageType COUNT = 1'000'001;
-    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
-                                  StorageType(FPBits::MIN_SUBNORMAL)) /
-                                 COUNT;
+    constexpr StorageType STEP =
+        (FPBits::MAX_SUBNORMAL - FPBits::MIN_SUBNORMAL) / COUNT;
     for (StorageType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
          i += STEP) {
       F x = F(FPBits(i));
@@ -260,8 +259,7 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
     constexpr StorageType COUNT = 1'000'001;
     constexpr StorageType STEP =
-        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
-        COUNT;
+        (FPBits::MAX_NORMAL - FPBits::MIN_NORMAL) / COUNT;
     for (StorageType i = FPBits::MIN_NORMAL; i <= FPBits::MAX_NORMAL;
          i += STEP) {
       F x = F(FPBits(i));
diff --git a/libc/test/src/math/smoke/ILogbTest.h b/libc/test/src/math/smoke/ILogbTest.h
index 565a476112d096..9f857da5547c7d 100644
--- a/libc/test/src/math/smoke/ILogbTest.h
+++ b/libc/test/src/math/smoke/ILogbTest.h
@@ -76,9 +76,8 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
     using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
     using StorageType = typename FPBits::StorageType;
     constexpr StorageType COUNT = 10'001;
-    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
-                                  StorageType(FPBits::MIN_SUBNORMAL)) /
-                                 COUNT;
+    constexpr StorageType STEP =
+        (FPBits::MAX_SUBNORMAL - FPBits::MIN_SUBNORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_SUBNORMAL; v <= FPBits::MAX_SUBNORMAL;
          v += STEP) {
       T x = T(FPBits(v));
@@ -97,8 +96,7 @@ class LlvmLibcILogbTest : public LIBC_NAMESPACE::testing::Test {
     using StorageType = typename FPBits::StorageType;
     constexpr StorageType COUNT = 10'001;
     constexpr StorageType STEP =
-        (StorageType(FPBits::MAX_NORMAL) - StorageType(FPBits::MIN_NORMAL)) /
-        COUNT;
+        (FPBits::MAX_NORMAL - FPBits::MIN_NORMAL) / COUNT;
     for (StorageType v = FPBits::MIN_NORMAL; v <= FPBits::MAX_NORMAL;
          v += STEP) {
       T x = T(FPBits(v));
diff --git a/libc/test/src/math/smoke/RoundToIntegerTest.h b/libc/test/src/math/smoke/RoundToIntegerTest.h
index 53f46f6e6aa4e9..cb1ec280518ee5 100644
--- a/libc/test/src/math/smoke/RoundToIntegerTest.h
+++ b/libc/test/src/math/smoke/RoundToIntegerTest.h
@@ -110,9 +110,8 @@ class RoundToIntegerTestTemplate : public LIBC_NAMESPACE::testing::Test {
 
   void testSubnormalRange(RoundToIntegerFunc func) {
     constexpr StorageType COUNT = 1'000'001;
-    constexpr StorageType STEP = (StorageType(FPBits::MAX_SUBNORMAL) -
-                                  StorageType(FPBits::MIN_SUBNORMAL)) /
-                                 COUNT;
+    constexpr StorageType STEP =
+        (FPBits::MAX_SUBNORMAL - FPBits::MIN_SUBNORMAL) / COUNT;
     for (StorageType i = FPBits::MIN_SUBNORMAL; i <= FPBits::MAX_SUBNORMAL;
          i += STEP) {
       F x = F(FPBits(i));

>From 904d984b8cd5a07b3f7fe660cb498f01ae5f1af9 Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 10:17:08 +0000
Subject: [PATCH 07/10] Remove useless constant and casts

---
 libc/test/src/math/LdExpTest.h       | 9 ++++-----
 libc/test/src/math/smoke/LdExpTest.h | 9 ++++-----
 2 files changed, 8 insertions(+), 10 deletions(-)

diff --git a/libc/test/src/math/LdExpTest.h b/libc/test/src/math/LdExpTest.h
index 4279b9356b252a..5c144add3a4a3d 100644
--- a/libc/test/src/math/LdExpTest.h
+++ b/libc/test/src/math/LdExpTest.h
@@ -23,7 +23,6 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using NormalFloat = LIBC_NAMESPACE::fputil::NormalFloat<T>;
   using StorageType = typename FPBits::StorageType;
-  static constexpr StorageType FRACTION_LEN = FPBits::FRACTION_LEN;
   // A normalized mantissa to be used with tests.
   static constexpr StorageType MANTISSA = NormalFloat::ONE + 0x1234;
 
@@ -69,7 +68,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnNormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
+    int32_t base_exponent = FPBits::EXP_BIAS + FPBits::FRACTION_LEN;
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -82,7 +81,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnSubnormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
+    int32_t base_exponent = FPBits::EXP_BIAS + FPBits::FRACTION_LEN;
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -100,7 +99,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
         // Subnormal numbers
         NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 0),
         NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 1)};
-    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_LEN); ++exp) {
+    for (int32_t exp = 0; exp <= FPBits::FRACTION_LEN; ++exp) {
       for (T x : val_array) {
         // We compare the result of ldexp with the result
         // of the native multiplication/division instruction.
@@ -134,7 +133,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_EQ(result_bits.get_biased_exponent(), uint16_t(0));
     // But if the exp is so less that normalization leads to zero, then
     // the result should be zero.
-    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_LEN) - 5);
+    result = func(x, -FPBits::MAX_EXPONENT - FPBits::FRACTION_LEN - 5);
     ASSERT_TRUE(FPBits(result).is_zero());
 
     // Start with a subnormal number but pass a very high number for exponent.
diff --git a/libc/test/src/math/smoke/LdExpTest.h b/libc/test/src/math/smoke/LdExpTest.h
index 4279b9356b252a..5c144add3a4a3d 100644
--- a/libc/test/src/math/smoke/LdExpTest.h
+++ b/libc/test/src/math/smoke/LdExpTest.h
@@ -23,7 +23,6 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
   using NormalFloat = LIBC_NAMESPACE::fputil::NormalFloat<T>;
   using StorageType = typename FPBits::StorageType;
-  static constexpr StorageType FRACTION_LEN = FPBits::FRACTION_LEN;
   // A normalized mantissa to be used with tests.
   static constexpr StorageType MANTISSA = NormalFloat::ONE + 0x1234;
 
@@ -69,7 +68,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnNormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
+    int32_t base_exponent = FPBits::EXP_BIAS + FPBits::FRACTION_LEN;
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -82,7 +81,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
   void testUnderflowToZeroOnSubnormal(LdExpFunc func) {
     // In this test, we pass a normal nubmer to func and expect zero
     // to be returned due to underflow.
-    int32_t base_exponent = FPBits::EXP_BIAS + int32_t(FRACTION_LEN);
+    int32_t base_exponent = FPBits::EXP_BIAS + FPBits::FRACTION_LEN;
     int32_t exp_array[] = {base_exponent + 5, base_exponent + 4,
                            base_exponent + 3, base_exponent + 2,
                            base_exponent + 1};
@@ -100,7 +99,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
         // Subnormal numbers
         NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 0),
         NormalFloat(-FPBits::EXP_BIAS, MANTISSA, 1)};
-    for (int32_t exp = 0; exp <= static_cast<int32_t>(FRACTION_LEN); ++exp) {
+    for (int32_t exp = 0; exp <= FPBits::FRACTION_LEN; ++exp) {
       for (T x : val_array) {
         // We compare the result of ldexp with the result
         // of the native multiplication/division instruction.
@@ -134,7 +133,7 @@ class LdExpTestTemplate : public LIBC_NAMESPACE::testing::Test {
     ASSERT_EQ(result_bits.get_biased_exponent(), uint16_t(0));
     // But if the exp is so less that normalization leads to zero, then
     // the result should be zero.
-    result = func(x, -FPBits::MAX_EXPONENT - int(FRACTION_LEN) - 5);
+    result = func(x, -FPBits::MAX_EXPONENT - FPBits::FRACTION_LEN - 5);
     ASSERT_TRUE(FPBits(result).is_zero());
 
     // Start with a subnormal number but pass a very high number for exponent.

>From 75afd99a0dd5bd6d53c3acd89dec373bca21f097 Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 10:23:03 +0000
Subject: [PATCH 08/10] Use STORAGE_LEN instead of sizeof expression

---
 .../src/math/differential_testing/BinaryOpSingleOutputDiff.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h b/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
index f9eafe90d892ab..7526f7c309e2cb 100644
--- a/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
+++ b/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
@@ -18,7 +18,7 @@ template <typename T> class BinaryOpSingleOutputDiff {
   using FPBits = fputil::FPBits<T>;
   using StorageType = typename FPBits::StorageType;
   static constexpr StorageType MSBIT = StorageType(1)
-                                       << (8 * sizeof(StorageType) - 1);
+                                       << (FPBits::STORAGE_LEN - 1);
   static constexpr StorageType UINTMAX = (MSBIT - 1) + MSBIT;
 
 public:

>From 0f93ba93f12477e14037d90f3a7e3c97227c7f23 Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 10:26:55 +0000
Subject: [PATCH 09/10] Use std::numeric_limits<StorageType>::max() instead of
 bitmanip

---
 .../src/math/differential_testing/BinaryOpSingleOutputDiff.h | 5 ++---
 .../math/differential_testing/SingleInputSingleOutputDiff.h  | 5 ++---
 2 files changed, 4 insertions(+), 6 deletions(-)

diff --git a/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h b/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
index 7526f7c309e2cb..ada7c9e4954265 100644
--- a/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
+++ b/libc/test/src/math/differential_testing/BinaryOpSingleOutputDiff.h
@@ -17,9 +17,8 @@ namespace testing {
 template <typename T> class BinaryOpSingleOutputDiff {
   using FPBits = fputil::FPBits<T>;
   using StorageType = typename FPBits::StorageType;
-  static constexpr StorageType MSBIT = StorageType(1)
-                                       << (FPBits::STORAGE_LEN - 1);
-  static constexpr StorageType UINTMAX = (MSBIT - 1) + MSBIT;
+  static constexpr StorageType UIntMax =
+      cpp::numeric_limits<StorageType>::max();
 
 public:
   typedef T Func(T, T);
diff --git a/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h b/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h
index 928365d8fbc691..e4cd06eb22b716 100644
--- a/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h
+++ b/libc/test/src/math/differential_testing/SingleInputSingleOutputDiff.h
@@ -17,9 +17,8 @@ namespace testing {
 template <typename T> class SingleInputSingleOutputDiff {
   using FPBits = fputil::FPBits<T>;
   using StorageType = typename FPBits::StorageType;
-  static constexpr StorageType MSBit = StorageType(1)
-                                       << (8 * sizeof(StorageType) - 1);
-  static constexpr StorageType UIntMax = (MSBit - 1) + MSBit;
+  static constexpr StorageType UIntMax =
+      cpp::numeric_limits<StorageType>::max();
 
 public:
   typedef T Func(T);

>From 9918496277d0075d9c4017833a7668e16601c483 Mon Sep 17 00:00:00 2001
From: Guillaume Chatelet <gchatelet at google.com>
Date: Fri, 15 Dec 2023 10:31:34 +0000
Subject: [PATCH 10/10] Remove unnecessary casts

---
 libc/utils/MPFRWrapper/MPFRUtils.cpp | 29 +++++++++++++---------------
 1 file changed, 13 insertions(+), 16 deletions(-)

diff --git a/libc/utils/MPFRWrapper/MPFRUtils.cpp b/libc/utils/MPFRWrapper/MPFRUtils.cpp
index 0729a1a4434027..6b9400ea453ffd 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.cpp
+++ b/libc/utils/MPFRWrapper/MPFRUtils.cpp
@@ -450,17 +450,17 @@ class MPFRNumber {
       return MPFRNumber(0.0);
 
     if (is_nan()) {
-      if (fputil::FPBits<T>(input).is_nan())
+      if (FPBits<T>(input).is_nan())
         return MPFRNumber(0.0);
-      return MPFRNumber(static_cast<T>(fputil::FPBits<T>::inf()));
+      return MPFRNumber(static_cast<T>(FPBits<T>::inf()));
     }
 
-    int thisExponent = fputil::FPBits<T>(thisAsT).get_exponent();
-    int inputExponent = fputil::FPBits<T>(input).get_exponent();
+    int thisExponent = FPBits<T>(thisAsT).get_exponent();
+    int inputExponent = FPBits<T>(input).get_exponent();
     // Adjust the exponents for denormal numbers.
-    if (fputil::FPBits<T>(thisAsT).get_biased_exponent() == 0)
+    if (FPBits<T>(thisAsT).get_biased_exponent() == 0)
       ++thisExponent;
-    if (fputil::FPBits<T>(input).get_biased_exponent() == 0)
+    if (FPBits<T>(input).get_biased_exponent() == 0)
       ++inputExponent;
 
     if (thisAsT * input < 0 || thisExponent == inputExponent) {
@@ -468,8 +468,7 @@ class MPFRNumber {
       mpfr_sub(inputMPFR.value, value, inputMPFR.value, MPFR_RNDN);
       mpfr_abs(inputMPFR.value, inputMPFR.value, MPFR_RNDN);
       mpfr_mul_2si(inputMPFR.value, inputMPFR.value,
-                   -thisExponent + int(fputil::FPBits<T>::FRACTION_LEN),
-                   MPFR_RNDN);
+                   -thisExponent + FPBits<T>::FRACTION_LEN, MPFR_RNDN);
       return inputMPFR;
     }
 
@@ -480,12 +479,12 @@ class MPFRNumber {
     input = std::abs(input);
     T min = thisAsT > input ? input : thisAsT;
     T max = thisAsT > input ? thisAsT : input;
-    int minExponent = fputil::FPBits<T>(min).get_exponent();
-    int maxExponent = fputil::FPBits<T>(max).get_exponent();
+    int minExponent = FPBits<T>(min).get_exponent();
+    int maxExponent = FPBits<T>(max).get_exponent();
     // Adjust the exponents for denormal numbers.
-    if (fputil::FPBits<T>(min).get_biased_exponent() == 0)
+    if (FPBits<T>(min).get_biased_exponent() == 0)
       ++minExponent;
-    if (fputil::FPBits<T>(max).get_biased_exponent() == 0)
+    if (FPBits<T>(max).get_biased_exponent() == 0)
       ++maxExponent;
 
     MPFRNumber minMPFR(min);
@@ -496,13 +495,11 @@ class MPFRNumber {
 
     mpfr_sub(minMPFR.value, pivot.value, minMPFR.value, MPFR_RNDN);
     mpfr_mul_2si(minMPFR.value, minMPFR.value,
-                 -minExponent + int(fputil::FPBits<T>::FRACTION_LEN),
-                 MPFR_RNDN);
+                 -minExponent + FPBits<T>::FRACTION_LEN, MPFR_RNDN);
 
     mpfr_sub(maxMPFR.value, maxMPFR.value, pivot.value, MPFR_RNDN);
     mpfr_mul_2si(maxMPFR.value, maxMPFR.value,
-                 -maxExponent + int(fputil::FPBits<T>::FRACTION_LEN),
-                 MPFR_RNDN);
+                 -maxExponent + FPBits<T>::FRACTION_LEN, MPFR_RNDN);
 
     mpfr_add(minMPFR.value, minMPFR.value, maxMPFR.value, MPFR_RNDN);
     return minMPFR;



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