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23 
24 /*
25  * @test
26  * @bug 4826774 4926547
27  * @summary Tests for {Float, Double}.toHexString methods
28  * @library ../Math
29  * @build DoubleConsts
30  * @run main ToHexString
31  * @author Joseph D. Darcy
32  */
33 package test.java.lang.Double;
34 
35 import java.util.regex.*;
36 
37 import jdk.internal.math.DoubleConsts;
38 
39 import org.testng.annotations.Test;
40 import org.testng.Assert;
41 
42 public class ToHexStringTest {
ToHexStringTest()43     private ToHexStringTest() {}
44 
45     /*
46      * Given a double value, create a hexadecimal floating-point
47      * string via an intermediate long hex string.
48      */
doubleToHexString(double d)49     static String doubleToHexString(double d) {
50         return hexLongStringtoHexDoubleString(Long.toHexString(Double.doubleToLongBits(d)));
51     }
52 
53     /*
54      * Transform the hexadecimal long output into the equivalent
55      * hexadecimal double value.
56      */
hexLongStringtoHexDoubleString(String transString)57     static String hexLongStringtoHexDoubleString(String transString) {
58         transString = transString.toLowerCase();
59 
60         String zeros = "";
61         StringBuffer result = new StringBuffer(24);
62 
63         for(int i = 0; i < (16 - transString.length()); i++, zeros += "0");
64         transString = zeros + transString;
65 
66         // assert transString.length == 16;
67 
68             char topChar;
69             // Extract sign
70             if((topChar=transString.charAt(0)) >= '8' ) {// 8, 9, a, A, b, B, ...
71                 result.append("-");
72                 // clear sign bit
73                 transString =
74                     Character.toString(Character.forDigit(Character.digit(topChar, 16) - 8, 16)) +
75                     transString.substring(1,16);
76             }
77 
78             // check for NaN and infinity
79             String signifString = transString.substring(3,16);
80 
81             if( transString.substring(0,3).equals("7ff") ) {
82                 if(signifString.equals("0000000000000")) {
83                     result.append("Infinity");
84                 }
85                 else
86                     result.append("NaN");
87             }
88             else { // finite value
89                 // Extract exponent
90                 int exponent = Integer.parseInt(transString.substring(0,3), 16) -
91                     DoubleConsts.EXP_BIAS;
92                 result.append("0x");
93 
94                 if (exponent == Double.MIN_EXPONENT - 1) { // zero or subnormal
95                     if(signifString.equals("0000000000000")) {
96                         result.append("0.0p0");
97                     }
98                     else {
99                         result.append("0." + signifString.replaceFirst("0+$", "").replaceFirst("^$", "0") +
100                                       "p-1022");
101                     }
102                 }
103                 else {  // normal value
104                     result.append("1." + signifString.replaceFirst("0+$", "").replaceFirst("^$", "0") +
105                                   "p" + exponent);
106                 }
107             }
108             return result.toString();
109     }
110 
111     @Test
testToHexString()112     public void testToHexString() {
113         String [][] testCases1 = {
114             {"Infinity",                "Infinity"},
115             {"-Infinity",               "-Infinity"},
116             {"NaN",                     "NaN"},
117             {"-NaN",                    "NaN"},
118             {"0.0",                     "0x0.0p0"},
119             {"-0.0",                    "-0x0.0p0"},
120             {"1.0",                     "0x1.0p0"},
121             {"-1.0",                    "-0x1.0p0"},
122             {"2.0",                     "0x1.0p1"},
123             {"3.0",                     "0x1.8p1"},
124             {"0.5",                     "0x1.0p-1"},
125             {"0.25",                    "0x1.0p-2"},
126             {"1.7976931348623157e+308", "0x1.fffffffffffffp1023"},      // MAX_VALUE
127             {"2.2250738585072014E-308", "0x1.0p-1022"},                 // MIN_NORMAL
128             {"2.225073858507201E-308",  "0x0.fffffffffffffp-1022"},     // MAX_SUBNORMAL
129             {"4.9e-324",                "0x0.0000000000001p-1022"}      // MIN_VALUE
130         };
131 
132         // Compare decimal string -> double -> hex string to hex string
133         for (int i = 0; i < testCases1.length; i++) {
134             String result = Double.toHexString(Double.parseDouble(testCases1[i][0]));
135             Assert.assertEquals(result, testCases1[i][1],
136                 "For floating-point string " + testCases1[i][0] +
137                                    ", expected hex output " + testCases1[i][1] + ", got " + result +".");
138         }
139 
140 
141         // Except for float subnormals, the output for numerically
142         // equal float and double values should be the same.
143         // Therefore, we will explicitly test float subnormal values.
144         String [][] floatTestCases = {
145             {"Infinity",                "Infinity"},
146             {"-Infinity",               "-Infinity"},
147             {"NaN",                     "NaN"},
148             {"-NaN",                    "NaN"},
149             {"0.0",                     "0x0.0p0"},
150             {"-0.0",                    "-0x0.0p0"},
151             {"1.0",                     "0x1.0p0"},
152             {"-1.0",                    "-0x1.0p0"},
153             {"2.0",                     "0x1.0p1"},
154             {"3.0",                     "0x1.8p1"},
155             {"0.5",                     "0x1.0p-1"},
156             {"0.25",                    "0x1.0p-2"},
157             {"3.4028235e+38f",          "0x1.fffffep127"},      // MAX_VALUE
158             {"1.17549435E-38f",         "0x1.0p-126"},          // MIN_NORMAL
159             {"1.1754942E-38",           "0x0.fffffep-126"},     // MAX_SUBNORMAL
160             {"1.4e-45f",                "0x0.000002p-126"}      // MIN_VALUE
161         };
162         // Compare decimal string -> double -> hex string to hex string
163         for (int i = 0; i < floatTestCases.length; i++) {
164             String result = Float.toHexString(Float.parseFloat(floatTestCases[i][0]));
165             Assert.assertEquals(result, floatTestCases[i][1],
166                 "For floating-point string " + floatTestCases[i][0] +
167                           ", expected hex output\n" + floatTestCases[i][1] + ", got\n" + result +".");
168         }
169 
170         // Particular floating-point values and hex equivalents, mostly
171         // taken from fdlibm source.
172         String [][] testCases2 = {
173             {"+0.0",                                    "0000000000000000"},
174             {"-0.0",                                    "8000000000000000"},
175             {"+4.9e-324",                               "0000000000000001"},
176             {"-4.9e-324",                               "8000000000000001"},
177 
178             // fdlibm k_sin.c
179             {"+5.00000000000000000000e-01",             "3FE0000000000000"},
180             {"-1.66666666666666324348e-01",             "BFC5555555555549"},
181             {"+8.33333333332248946124e-03",             "3F8111111110F8A6"},
182             {"-1.98412698298579493134e-04",             "BF2A01A019C161D5"},
183             {"+2.75573137070700676789e-06",             "3EC71DE357B1FE7D"},
184             {"-2.50507602534068634195e-08",             "BE5AE5E68A2B9CEB"},
185             {"+1.58969099521155010221e-10",             "3DE5D93A5ACFD57C"},
186 
187             // fdlibm k_cos.c
188             {"+4.16666666666666019037e-02",             "3FA555555555554C"},
189             {"-1.38888888888741095749e-03",             "BF56C16C16C15177"},
190             {"+2.48015872894767294178e-05",             "3EFA01A019CB1590"},
191             {"-2.75573143513906633035e-07",             "BE927E4F809C52AD"},
192             {"+2.08757232129817482790e-09",             "3E21EE9EBDB4B1C4"},
193             {"-1.13596475577881948265e-11",             "BDA8FAE9BE8838D4"},
194 
195             // fdlibm e_rempio.c
196             {"1.67772160000000000000e+07",              "4170000000000000"},
197             {"6.36619772367581382433e-01",              "3FE45F306DC9C883"},
198             {"1.57079632673412561417e+00",              "3FF921FB54400000"},
199             {"6.07710050650619224932e-11",              "3DD0B4611A626331"},
200             {"6.07710050630396597660e-11",              "3DD0B4611A600000"},
201             {"2.02226624879595063154e-21",              "3BA3198A2E037073"},
202             {"2.02226624871116645580e-21",              "3BA3198A2E000000"},
203             {"8.47842766036889956997e-32",              "397B839A252049C1"},
204 
205 
206             // fdlibm s_cbrt.c
207             {"+5.42857142857142815906e-01",             "3FE15F15F15F15F1"},
208             {"-7.05306122448979611050e-01",             "BFE691DE2532C834"},
209             {"+1.41428571428571436819e+00",             "3FF6A0EA0EA0EA0F"},
210             {"+1.60714285714285720630e+00",             "3FF9B6DB6DB6DB6E"},
211             {"+3.57142857142857150787e-01",             "3FD6DB6DB6DB6DB7"},
212         };
213 
214         // Compare decimal string -> double -> hex string to
215         // long hex string -> double hex string
216         for (int i = 0; i < testCases2.length; i++) {
217             String result = Double.toHexString(Double.parseDouble(testCases2[i][0]));
218             String expected = hexLongStringtoHexDoubleString(testCases2[i][1]);
219             Assert.assertEquals(result, expected,
220                 "For floating-point string " + testCases2[i][0] +
221                           ", expected hex output " + expected + ", got " + result +".");
222         }
223     }
224 
225     @Test
testRandomDoubles()226     public void testRandomDoubles() {
227         // Test random double values;
228         // compare double -> Double.toHexString with local doubleToHexString
229         java.util.Random rand = new java.util.Random(0);
230         for (int i = 0; i < 1000; i++) {
231             double d = rand.nextDouble();
232             String result = Double.toHexString(d);
233             String expected = doubleToHexString(d);
234             Assert.assertEquals(result, expected, "For floating-point value " + d +
235                     ", expected hex output " + expected + ", got " + result +".");
236         }
237     }
238 }
239