[libc-commits] [libc] [libc][math] Add Generic Comparison Operations for floating point types (PR #144983)

via libc-commits libc-commits at lists.llvm.org
Thu Jun 19 21:54:41 PDT 2025


llvmbot wrote:


<!--LLVM PR SUMMARY COMMENT-->

@llvm/pr-subscribers-libc

Author: Krishna Pandey (krishna2803)

<details>
<summary>Changes</summary>

The PR implements the following generic comparison operation functions for floating point types along with unittests:
- `fputil::equals`
- `fputil::not_equals`
- `fputil::less_than`
- `fputil::less_than_or_equals`
- `fputil::greater_than`
- `fputil::greater_than_or_equals`

cc @<!-- -->lntue @<!-- -->overmighty 

---

Patch is 23.44 KiB, truncated to 20.00 KiB below, full version: https://github.com/llvm/llvm-project/pull/144983.diff


4 Files Affected:

- (modified) libc/src/__support/FPUtil/CMakeLists.txt (+11) 
- (added) libc/src/__support/FPUtil/ComparisonOperations.h (+122) 
- (modified) libc/test/src/__support/FPUtil/CMakeLists.txt (+12) 
- (added) libc/test/src/__support/FPUtil/comparison_operations_test.cpp (+254) 


``````````diff
diff --git a/libc/src/__support/FPUtil/CMakeLists.txt b/libc/src/__support/FPUtil/CMakeLists.txt
index bfe0170f09fd9..ce068df8d4c03 100644
--- a/libc/src/__support/FPUtil/CMakeLists.txt
+++ b/libc/src/__support/FPUtil/CMakeLists.txt
@@ -209,6 +209,17 @@ add_header_library(
     libc.src.__support.macros.properties.types
 )
 
+add_header_library(
+  comparison_operations
+  HDRS
+    ComparisonOperations.h
+  DEPENDS
+    .fp_bits
+    .fenv_impl
+    libc.src.__support.CPP.type_traits
+    libc.src.__support.config
+)
+
 add_header_library(
   hypot
   HDRS
diff --git a/libc/src/__support/FPUtil/ComparisonOperations.h b/libc/src/__support/FPUtil/ComparisonOperations.h
new file mode 100644
index 0000000000000..cf71a14df0465
--- /dev/null
+++ b/libc/src/__support/FPUtil/ComparisonOperations.h
@@ -0,0 +1,122 @@
+//===-- Comparison operations on floating point numbers --------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC___SUPPORT_FPUTIL_COMPARISONOPERATIONS_H
+#define LLVM_LIBC_SRC___SUPPORT_FPUTIL_COMPARISONOPERATIONS_H
+
+#include "FEnvImpl.h"                      // raise_except_if_required
+#include "FPBits.h"                        // FPBits<T>
+#include "src/__support/CPP/type_traits.h" // enable_if, is_floating_point
+#include "src/__support/macros/config.h"   // LIBC_NAMESPACE_DECL
+
+namespace LIBC_NAMESPACE_DECL {
+namespace fputil {
+
+// IEEE Standard 754-2019. Section 5.11
+// Rules for comparison within the same floating point type
+// 1. +0 = −0
+// 2. (i)   +inf  = +inf
+//    (ii)  -inf  = -inf
+//    (iii) -inf != +inf
+// 3. Any comparison with NaN return false except (NaN != NaN => true)
+template <typename T>
+LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, bool> equals(T x,
+                                                                       T y) {
+  using FPBits = FPBits<T>;
+  FPBits x_bits(x);
+  FPBits y_bits(y);
+
+  if (x_bits.is_signaling_nan() || y_bits.is_signaling_nan())
+    fputil::raise_except_if_required(FE_INVALID);
+
+  // NaN == x returns false for every x
+  if (x_bits.is_nan() || y_bits.is_nan())
+    return false;
+
+  // +/- 0 == +/- 0
+  if (x_bits.is_zero() && y_bits.is_zero())
+    return true;
+
+  // should also work for comparisons of different signs
+  return x_bits.uintval() == y_bits.uintval();
+}
+
+// !(x == y) => x != y
+template <typename T>
+LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, bool>
+not_equals(T x, T y) {
+  return !equals(x, y);
+}
+
+// Rules:
+// 1. -inf < x (x != -inf)
+// 2. x < +inf (x != +inf)
+// 3. Any comparison with NaN return false
+template <typename T>
+LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, bool> less_than(T x,
+                                                                          T y) {
+  using FPBits = FPBits<T>;
+  FPBits x_bits(x);
+  FPBits y_bits(y);
+
+  if (x_bits.is_signaling_nan() || y_bits.is_signaling_nan())
+    fputil::raise_except_if_required(FE_INVALID);
+
+  // Any comparison with NaN returns false
+  if (x_bits.is_nan() || y_bits.is_nan())
+    return false;
+
+  if (x_bits.is_zero() && y_bits.is_zero())
+    return false;
+
+  if (x_bits.is_neg() && y_bits.is_pos())
+    return true;
+
+  if (x_bits.is_pos() && y_bits.is_neg())
+    return false;
+
+  // since we store the float in the format: s | e | m
+  // the comparisons should work if we directly compare the uintval's
+
+  // TODO: verify if we should use FPBits.get_exponent and FPBits.get_mantissa
+  // instead of directly comparing uintval's
+
+  // both negative
+  if (x_bits.is_neg())
+    return x_bits.uintval() > y_bits.uintval();
+
+  // both positive
+  return x_bits.uintval() < y_bits.uintval();
+}
+
+// x < y => y > x
+template <typename T>
+LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, bool>
+greater_than(T x, T y) {
+  return less_than(y, x);
+}
+
+// following is expression is correct, accounting for NaN case(s) as well
+// x <= y => (x < y) || (x == y)
+template <typename T>
+LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, bool>
+less_than_or_equals(T x, T y) {
+  return less_than(x, y) || equals(x, y);
+}
+
+// x >= y => (x > y) || (x == y) => (y < x) || (x == y)
+template <typename T>
+LIBC_INLINE cpp::enable_if_t<cpp::is_floating_point_v<T>, bool>
+greater_than_or_equals(T x, T y) {
+  return less_than(y, x) || equals(x, y);
+}
+
+} // namespace fputil
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LLVM_LIBC_SRC___SUPPORT_FPUTIL_COMPARISONOPERATIONS_H
diff --git a/libc/test/src/__support/FPUtil/CMakeLists.txt b/libc/test/src/__support/FPUtil/CMakeLists.txt
index 1e64e9ba425a5..1dcd666ec3d25 100644
--- a/libc/test/src/__support/FPUtil/CMakeLists.txt
+++ b/libc/test/src/__support/FPUtil/CMakeLists.txt
@@ -38,3 +38,15 @@ add_fp_unittest(
   DEPENDS
     libc.src.__support.FPUtil.rounding_mode
 )
+
+add_fp_unittest(
+  comparison_operations_test
+  SUITE
+    libc-fputil-tests
+  SRCS
+    comparison_operations_test.cpp
+  DEPENDS
+    libc.src.__support.FPUtil.fp_bits
+    # libc.src.__support.FPUtil.comparison_operations
+)
+
diff --git a/libc/test/src/__support/FPUtil/comparison_operations_test.cpp b/libc/test/src/__support/FPUtil/comparison_operations_test.cpp
new file mode 100644
index 0000000000000..94c234446ad8e
--- /dev/null
+++ b/libc/test/src/__support/FPUtil/comparison_operations_test.cpp
@@ -0,0 +1,254 @@
+//===-- Unittests for Comparison Operations for FPBits class -------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "src/__support/FPUtil/ComparisonOperations.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/__support/macros/properties/types.h"
+#include "src/__support/sign.h"
+#include "test/UnitTest/FPMatcher.h"
+#include "test/UnitTest/Test.h"
+#include "utils/MPFRWrapper/MPFRUtils.h"
+
+using LIBC_NAMESPACE::fputil::equals;
+using LIBC_NAMESPACE::fputil::greater_than;
+using LIBC_NAMESPACE::fputil::greater_than_or_equals;
+using LIBC_NAMESPACE::fputil::less_than;
+using LIBC_NAMESPACE::fputil::less_than_or_equals;
+using LIBC_NAMESPACE::fputil::not_equals;
+
+// FIXME: currently i have used NAN here
+// need to find a better way to get a NAN floating point type
+// - need to see if FPRep could be used?
+
+#define TEST_EQUALS(Name, Type)                                                \
+  TEST(LlvmLibc##Name##ComparisionOperationsTest, Equals) {                                   \
+    using Bits = LIBC_NAMESPACE::fputil::FPBits<Type>;                         \
+    Type pos_zero = Bits::zero().get_val();                                    \
+    Type neg_zero = -pos_zero;                                                 \
+    Type pos_inf = Bits::inf().get_val();                                      \
+    Type neg_inf = Bits::inf(Sign::NEG).get_val();                             \
+    Type nan = NAN;                                                            \
+    Type pos_normal = Type(3.14);                                              \
+    Type neg_normal = Type(-2.71);                                             \
+    Type pos_large = Type(1000000.0);                                          \
+    Type neg_large = Type(-1000000.0);                                         \
+                                                                               \
+    EXPECT_TRUE(equals(pos_zero, pos_zero));                                   \
+    EXPECT_TRUE(equals(neg_zero, neg_zero));                                   \
+    EXPECT_TRUE(equals(pos_inf, pos_inf));                                     \
+    EXPECT_TRUE(equals(neg_inf, neg_inf));                                     \
+    EXPECT_TRUE(equals(pos_normal, pos_normal));                               \
+    EXPECT_TRUE(equals(neg_normal, neg_normal));                               \
+                                                                               \
+    EXPECT_TRUE(equals(pos_zero, neg_zero));                                   \
+    EXPECT_TRUE(equals(neg_zero, pos_zero));                                   \
+                                                                               \
+    EXPECT_FALSE(equals(pos_normal, neg_normal));                              \
+    EXPECT_FALSE(equals(pos_normal, pos_large));                               \
+    EXPECT_FALSE(equals(pos_inf, neg_inf));                                    \
+    EXPECT_FALSE(equals(pos_inf, pos_normal));                                 \
+    EXPECT_FALSE(equals(neg_inf, neg_normal));                                 \
+    EXPECT_FALSE(equals(pos_large, neg_large));                                \
+                                                                               \
+    EXPECT_FALSE(equals(nan, nan));                                            \
+    EXPECT_FALSE(equals(nan, pos_normal));                                     \
+    EXPECT_FALSE(equals(nan, pos_zero));                                       \
+    EXPECT_FALSE(equals(nan, pos_inf));                                        \
+    EXPECT_FALSE(equals(pos_normal, nan));                                     \
+  }
+
+#define TEST_NOT_EQUALS(Name, Type)                                            \
+  TEST(LlvmLibc##Name##ComparisionOperationsTest, NotEquals) {                                \
+    using Bits = LIBC_NAMESPACE::fputil::FPBits<Type>;                         \
+    Type pos_zero = Bits::zero().get_val();                                    \
+    Type neg_zero = Bits::zero(Sign::NEG).get_val();                           \
+    Type pos_inf = Bits::inf().get_val();                                      \
+    Type neg_inf = Bits::inf(Sign::NEG).get_val();                             \
+    Type nan = NAN;                                                            \
+    Type pos_normal = Type(3.14);                                              \
+    Type neg_normal = Type(-2.71);                                             \
+    Type pos_large = Type(1000000.0);                                          \
+    Type neg_large = Type(-1000000.0);                                         \
+                                                                               \
+    EXPECT_FALSE(not_equals(pos_zero, pos_zero));                              \
+    EXPECT_FALSE(not_equals(pos_zero, neg_zero));                              \
+    EXPECT_FALSE(not_equals(pos_inf, pos_inf));                                \
+    EXPECT_FALSE(not_equals(neg_inf, neg_inf));                                \
+    EXPECT_FALSE(not_equals(pos_normal, pos_normal));                          \
+                                                                               \
+    EXPECT_TRUE(not_equals(pos_normal, neg_normal));                           \
+    EXPECT_TRUE(not_equals(pos_inf, neg_inf));                                 \
+    EXPECT_TRUE(not_equals(pos_normal, pos_zero));                             \
+    EXPECT_TRUE(not_equals(pos_large, neg_large));                             \
+    EXPECT_TRUE(not_equals(pos_inf, pos_normal));                              \
+                                                                               \
+    EXPECT_TRUE(not_equals(nan, nan));                                         \
+    EXPECT_TRUE(not_equals(nan, pos_normal));                                  \
+    EXPECT_TRUE(not_equals(nan, pos_zero));                                    \
+    EXPECT_TRUE(not_equals(nan, pos_inf));                                     \
+    EXPECT_TRUE(not_equals(pos_normal, nan));                                  \
+  }
+
+#define TEST_LESS_THAN(Name, Type)                                             \
+  TEST(LlvmLibc##Name##ComparisionOperationsTest, LessThan) {                                 \
+    using Bits = LIBC_NAMESPACE::fputil::FPBits<Type>;                         \
+    Type pos_zero = Bits::zero().get_val();                                    \
+    Type neg_zero = -pos_zero;                                                 \
+    Type pos_inf = Bits::inf().get_val();                                      \
+    Type neg_inf = Bits::inf(Sign::NEG).get_val();                             \
+    Type nan = NAN;                                                            \
+    Type pos_small = Type(0.1);                                                \
+    Type neg_small = Type(-0.1);                                               \
+    Type pos_large = Type(1000000.0);                                          \
+    Type neg_large = Type(-1000000.0);                                         \
+                                                                               \
+    EXPECT_TRUE(less_than(neg_small, pos_small));                              \
+    EXPECT_TRUE(less_than(pos_small, pos_large));                              \
+    EXPECT_TRUE(less_than(neg_large, neg_small));                              \
+    EXPECT_FALSE(less_than(pos_large, pos_small));                             \
+    EXPECT_FALSE(less_than(pos_small, neg_small));                             \
+                                                                               \
+    EXPECT_FALSE(less_than(pos_zero, neg_zero));                               \
+    EXPECT_FALSE(less_than(neg_zero, pos_zero));                               \
+    EXPECT_FALSE(less_than(pos_zero, pos_zero));                               \
+                                                                               \
+    EXPECT_TRUE(less_than(neg_small, pos_zero));                               \
+    EXPECT_TRUE(less_than(neg_zero, pos_small));                               \
+    EXPECT_FALSE(less_than(pos_small, pos_zero));                              \
+                                                                               \
+    EXPECT_TRUE(less_than(neg_inf, pos_inf));                                  \
+    EXPECT_TRUE(less_than(neg_inf, neg_small));                                \
+    EXPECT_TRUE(less_than(pos_small, pos_inf));                                \
+    EXPECT_FALSE(less_than(pos_inf, pos_small));                               \
+                                                                               \
+    EXPECT_FALSE(less_than(pos_small, pos_small));                             \
+    EXPECT_FALSE(less_than(neg_inf, neg_inf));                                 \
+                                                                               \
+    EXPECT_FALSE(less_than(nan, pos_small));                                   \
+    EXPECT_FALSE(less_than(pos_small, nan));                                   \
+    EXPECT_FALSE(less_than(nan, nan));                                         \
+  }
+
+#define TEST_GREATER_THAN(Name, Type)                                          \
+  TEST(LlvmLibc##Name##ComparisionOperationsTest, GreaterThan) {                              \
+    using Bits = LIBC_NAMESPACE::fputil::FPBits<Type>;                         \
+    Type pos_zero = Bits::zero().get_val();                                    \
+    Type neg_zero = -pos_zero;                                                 \
+    Type pos_inf = Bits::inf().get_val();                                      \
+    Type neg_inf = Bits::inf(Sign::NEG).get_val();                             \
+    Type nan = NAN;                                                            \
+    Type pos_small = Type(0.1);                                                \
+    Type neg_small = Type(-0.1);                                               \
+    Type pos_large = Type(1000000.0);                                          \
+    Type neg_large = Type(-1000000.0);                                         \
+                                                                               \
+    EXPECT_TRUE(greater_than(pos_small, neg_small));                           \
+    EXPECT_TRUE(greater_than(pos_large, pos_small));                           \
+    EXPECT_TRUE(greater_than(neg_small, neg_large));                           \
+    EXPECT_FALSE(greater_than(pos_small, pos_large));                          \
+    EXPECT_FALSE(greater_than(neg_small, pos_small));                          \
+                                                                               \
+    EXPECT_FALSE(greater_than(pos_zero, neg_zero));                            \
+    EXPECT_FALSE(greater_than(neg_zero, pos_zero));                            \
+                                                                               \
+    EXPECT_TRUE(greater_than(pos_inf, neg_inf));                               \
+    EXPECT_TRUE(greater_than(pos_inf, pos_small));                             \
+    EXPECT_TRUE(greater_than(pos_small, neg_inf));                             \
+    EXPECT_FALSE(greater_than(neg_inf, pos_inf));                              \
+                                                                               \
+    EXPECT_FALSE(greater_than(pos_small, pos_small));                          \
+    EXPECT_FALSE(greater_than(pos_inf, pos_inf));                              \
+                                                                               \
+    EXPECT_FALSE(greater_than(nan, pos_small));                                \
+    EXPECT_FALSE(greater_than(pos_small, nan));                                \
+    EXPECT_FALSE(greater_than(nan, nan));                                      \
+  }
+
+#define TEST_LESS_THAN_OR_EQUALS(Name, Type)                                   \
+  TEST(LlvmLibc##Name##ComparisionOperationsTest, LessThanOrEquals) {                         \
+    using Bits = LIBC_NAMESPACE::fputil::FPBits<Type>;                         \
+    Type pos_zero = Bits::zero().get_val();                                    \
+    Type neg_zero = -pos_zero;                                                 \
+    Type pos_inf = Bits::inf().get_val();                                      \
+    Type neg_inf = Bits::inf(Sign::NEG).get_val();                             \
+    Type nan = NAN;                                                            \
+    Type pos_small = Type(0.1);                                                \
+    Type neg_small = Type(-0.1);                                               \
+    Type pos_large = Type(1000000.0);                                          \
+    Type neg_large = Type(-1000000.0);                                         \
+                                                                               \
+    EXPECT_TRUE(less_than_or_equals(neg_small, pos_small));                    \
+    EXPECT_TRUE(less_than_or_equals(pos_small, pos_large));                    \
+    EXPECT_TRUE(less_than_or_equals(neg_inf, pos_small));                      \
+                                                                               \
+    EXPECT_TRUE(less_than_or_equals(pos_small, pos_small));                    \
+    EXPECT_TRUE(less_than_or_equals(pos_zero, neg_zero));                      \
+    EXPECT_TRUE(less_than_or_equals(pos_inf, pos_inf));                        \
+                                                                               \
+    EXPECT_FALSE(less_than_or_equals(pos_small, neg_small));                   \
+    EXPECT_FALSE(less_than_or_equals(pos_large, pos_small));                   \
+    EXPECT_FALSE(less_than_or_equals(pos_inf, pos_small));                     \
+                                                                               \
+    EXPECT_TRUE(less_than_or_equals(neg_large, pos_small));                    \
+    EXPECT_FALSE(less_than_or_equals(pos_large, neg_small));                   \
+                                                                               \
+    EXPECT_FALSE(less_than_or_equals(nan, pos_small));                         \
+    EXPECT_FALSE(less_than_or_equals(pos_small, nan));                         \
+    EXPECT_FALSE(l...
[truncated]

``````````

</details>


https://github.com/llvm/llvm-project/pull/144983


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