js8544 commented on code in PR #36667:
URL: https://github.com/apache/arrow/pull/36667#discussion_r1265496020


##########
cpp/src/arrow/util/decimal_test.cc:
##########
@@ -1119,6 +1137,35 @@ class TestDecimalToReal : public ::testing::Test {
     // 2**64 + 2**41 (exactly representable in a float)
     CheckDecimalToReal<Decimal, Real>("18446746272732807168", 0, 
1.8446746e+19f);
     CheckDecimalToReal<Decimal, Real>("-18446746272732807168", 0, 
-1.8446746e+19f);
+
+    // Integers are always exact
+    auto scale = Decimal::kMaxScale - 1;
+    std::string seven = "7.";
+    for (int32_t i = 0; i < scale; ++i) {
+      seven += "0";
+    }
+    CheckDecimalToReal<Decimal, Real>(seven, scale, 7.0f);
+    CheckDecimalToReal<Decimal, Real>("-" + seven, scale, -7.0f);
+
+    CheckDecimalToReal<Decimal, Real>("99999999999999999999.0000000000000000", 
16,
+                                      99999999999999999999.0f);
+    CheckDecimalToReal<Decimal, 
Real>("-99999999999999999999.0000000000000000", 16,
+                                      -99999999999999999999.0f);
+
+    // Small fractions are within one ULP
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("9999999.9", 1, 9999999.9f);
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("-9999999.9", 1, 
-9999999.9f);
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("9999999.999999", 6, 
9999999.999999f);
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("-9999999.999999", 6, 
-9999999.999999f);
+
+    // Large fractions are within 2^-23
+    constexpr Real epsilon = 1.1920928955078125e-07f;  // 2^-23
+    CheckDecimalToRealWithinEpsilon<Decimal, Real>(
+        "112334829348925.99070703983306884765625", 23, epsilon,
+        112334829348925.99070703983306884765625f);

Review Comment:
   The weird thing is even though it is parametrized over `Real`, these tests 
were only run for `float`. I kept it this way. Perhaps it's better to remove 
the Real parameter and make it clear that it's only for float?



##########
cpp/src/arrow/util/decimal_test.cc:
##########
@@ -1119,6 +1137,35 @@ class TestDecimalToReal : public ::testing::Test {
     // 2**64 + 2**41 (exactly representable in a float)
     CheckDecimalToReal<Decimal, Real>("18446746272732807168", 0, 
1.8446746e+19f);
     CheckDecimalToReal<Decimal, Real>("-18446746272732807168", 0, 
-1.8446746e+19f);
+
+    // Integers are always exact
+    auto scale = Decimal::kMaxScale - 1;
+    std::string seven = "7.";
+    for (int32_t i = 0; i < scale; ++i) {
+      seven += "0";
+    }
+    CheckDecimalToReal<Decimal, Real>(seven, scale, 7.0f);
+    CheckDecimalToReal<Decimal, Real>("-" + seven, scale, -7.0f);
+
+    CheckDecimalToReal<Decimal, Real>("99999999999999999999.0000000000000000", 
16,
+                                      99999999999999999999.0f);
+    CheckDecimalToReal<Decimal, 
Real>("-99999999999999999999.0000000000000000", 16,
+                                      -99999999999999999999.0f);
+
+    // Small fractions are within one ULP
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("9999999.9", 1, 9999999.9f);
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("-9999999.9", 1, 
-9999999.9f);
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("9999999.999999", 6, 
9999999.999999f);
+    CheckDecimalToRealWithinOneULP<Decimal, Real>("-9999999.999999", 6, 
-9999999.999999f);
+
+    // Large fractions are within 2^-23
+    constexpr Real epsilon = 1.1920928955078125e-07f;  // 2^-23

Review Comment:
   same as above



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