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  6. <meta name="generator" content="HTML Tidy for Linux/x86 (vers 12 April 2005), see www.w3.org" />
    7. 

  7. <title>Hash Random Int Subscript Insert Timing Test</title>
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  8. <meta http-equiv="Content-Type" content="text/html; charset=us-ascii" />
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  9. </head>
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  10. <body>
    11. 

  11. <div id="page">
    12. 

  12. <h1>Hash-Based Random-Integer <tt><b>operator</b>[]</tt> Insert
    13. 

  13.     Timing Test</h1>
    14. 

  14. <h2><a name="description" id="description">Description</a></h2>
    15. 

  15. <p>This test inserts a number of values with uniform i.i.d.
    16. 

  16.     integer keys into a container, using
    17. 

  17.     <tt><b>operator</b>[]</tt>. It measures the average time for
    18. 

  18.     <tt><b>operator</b>[]</tt> as a function of the number of
    19. 

  19.     values inserted.</p>
    20. 

  20. <p>(The test was executed with <a href="http://gcc.gnu.org/viewcvs/*checkout*/trunk/libstdc%2B%2B-v3/testsuite/performance/ext/pb_ds/random_int_subscript_insert_timing.cc"><tt>hash_random_int_subscript_insert_timing_test</tt></a>
    21. 

  21.     200 200 2100)</p>
    22. 

  22. <h2><a name="purpose" id="purpose">Purpose</a></h2>
    23. 

  23. <p>The test primarily checks the effect of different underlying
    24. 

  24.     hash-tables (see <a href="hash_based_containers.html">Design::Associative
    25. 

  25.     Containers::Associative Containers::Hash-Based
    26. 

  26.     Containers</a>).</p>
    27. 

  27. <h2><a name="results" id="results">Results</a></h2>
    28. 

  28. <p>Figures <a href="#NCCG">NCCG</a>, <a href="#NCCM">NCCM</a>,
    29. 

  29.     and <a href="#NCCL">NCCL</a> show the results for the native
    30. 

  30.     and collision-chaining types in <a href="assoc_performance_tests.html#gcc"><u>g++</u></a>, <a href="assoc_performance_tests.html#msvc"><u>MSVC++</u></a>, and
    31. 

  31.     <a href="assoc_performance_tests.html#local"><u>local</u></a>,
    32. 

  32.     respectively; Figures <a href="#NGPG">NGPG</a>, <a href="#NGPM">NGPM</a>, and <a href="#NGPL">NGPL</a> show the results
    33. 

  33.     for the native and probing types in <a href="assoc_performance_tests.html#gcc"><u>g++</u></a>, <a href="assoc_performance_tests.html#msvc"><u>msvc++</u></a>, and
    34. 

  34.     <a href="assoc_performance_tests.html#local"><u>local</u></a>
    35. 

  35.     respectively; Figures <a href="#CCGPG">CCGPG</a>, <a href="#CCGPM">CCGPM</a>, and <a href="#CCGPL">CCGPL</a> compare the
    36. 

  36.     results for the collision-chaining and probing types of
    37. 

  37.     <tt>pb_ds</tt> only, in <a href="assoc_performance_tests.html#gcc"><u>g++</u></a>, <a href="assoc_performance_tests.html#msvc"><u>MSVC++</u></a>, and
    38. 

  38.     <a href="assoc_performance_tests.html#local"><u>local</u></a>
    39. 

  39.     respectively.</p>
    40. 

  40. <div id="NCCG_res_div">
    41. 

  41. <div id="NCCG_gcc">
    42. 

  42. <div id="NCCG_cc_hash_random_int_subscript_timing_test_insert">
    43. 

  43. <div id="NCCG_assoc">
    44. 

  44. <div id="NCCG_Native_and_collision-chaining_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NCCG" id="NCCG"><img src="cc_hash_random_int_subscript_timing_test_insert_gcc.png" alt="no image" /></a></h6>NCCG: Native and collision-chaining hash random int insert timing test using <tt><b>operator</b></tt> - <a href="assoc_performance_tests.html#gcc">g++</a><p>In the above figure, the names in the legends have the following meaning:</p>
    45. 

  45. <ol>
    46. 

  46. <li>
    47. 

  47. cc_hash_mod_prime_nea_lc_1div8_1div2_nsth_map-
    48. 

  48. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    49. 

  49. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    50. 

  50. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    51. 

  51.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    52. 

  52. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    53. 

  53.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    54. 

  54. <li>
    55. 

  55. n_hash_map_ncah-
    56. 

  56. <tt>std::tr1::unordered_map</tt> with <tt>cache_hash_code</tt> = <tt><b>false</b></tt></li>
    57. 

  57. <li>
    58. 

  58. cc_hash_mask_exp_nea_lc_1div8_1div2_nsth_map-
    59. 

  59. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    60. 

  60. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    61. 

  61. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    62. 

  62.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    63. 

  63. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    64. 

  64.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    65. 

  65. <li>
    66. 

  66. cc_hash_mod_prime_nea_lc_1div8_1div1_nsth_map-
    67. 

  67. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    68. 

  68. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    69. 

  69. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    70. 

  70.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    71. 

  71. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    72. 

  72.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/1</i></li>
    73. 

  73. <li>
    74. 

  74. cc_hash_mask_exp_nea_lc_1div8_1div1_nsth_map-
    75. 

  75. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    76. 

  76. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    77. 

  77. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    78. 

  78.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    79. 

  79. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    80. 

  80.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/1</i></li>
    81. 

  81. </ol>
    82. 

  82. </div><div style="width: 100%; height: 20px"></div></div>
    83. 

  83. </div>
    84. 

  84. </div>
    85. 

  85. </div>
    86. 

  86. </div>
    87. 

  87. <div id="NCCM_res_div">
    88. 

  88. <div id="NCCM_msvc">
    89. 

  89. <div id="NCCM_cc_hash_random_int_subscript_timing_test_insert">
    90. 

  90. <div id="NCCM_assoc">
    91. 

  91. <div id="NCCM_Native_and_collision-chaining_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NCCM" id="NCCM"><img src="cc_hash_random_int_subscript_timing_test_insert_msvc.png" alt="no image" /></a></h6>NCCM: Native and collision-chaining hash random int insert timing test using <tt><b>operator</b></tt> - <a href="assoc_performance_tests.html#msvc">msvc++</a><p>In the above figure, the names in the legends have the following meaning:</p>
    92. 

  92. <ol>
    93. 

  93. <li>
    94. 

  94. n_hash_map_ncah-
    95. 

  95. <tt>stdext::hash_map</tt></li>
    96. 

  96. <li>
    97. 

  97. cc_hash_mod_prime_nea_lc_1div8_1div2_nsth_map-
    98. 

  98. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    99. 

  99. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    100. 

  100. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    101. 

  101.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    102. 

  102. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    103. 

  103.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    104. 

  104. <li>
    105. 

  105. cc_hash_mod_prime_nea_lc_1div8_1div1_nsth_map-
    106. 

  106. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    107. 

  107. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    108. 

  108. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    109. 

  109.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    110. 

  110. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    111. 

  111.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/1</i></li>
    112. 

  112. <li>
    113. 

  113. cc_hash_mask_exp_nea_lc_1div8_1div2_nsth_map-
    114. 

  114. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    115. 

  115. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    116. 

  116. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    117. 

  117.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    118. 

  118. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    119. 

  119.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    120. 

  120. <li>
    121. 

  121. cc_hash_mask_exp_nea_lc_1div8_1div1_nsth_map-
    122. 

  122. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    123. 

  123. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    124. 

  124. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    125. 

  125.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    126. 

  126. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    127. 

  127.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/1</i></li>
    128. 

  128. </ol>
    129. 

  129. </div><div style="width: 100%; height: 20px"></div></div>
    130. 

  130. </div>
    131. 

  131. </div>
    132. 

  132. </div>
    133. 

  133. </div>
    134. 

  134. <div id="NCCL_res_div">
    135. 

  135. <div id="NCCL_local">
    136. 

  136. <div id="NCCL_cc_hash_random_int_subscript_timing_test_insert">
    137. 

  137. <div id="NCCL_assoc">
    138. 

  138. <div id="NCCL_Native_and_collision-chaining_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style = "border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NCCL" id= "NCCL"><img src="cc_hash_random_int_subscript_timing_test_insert_local.png" alt="no image" /></a></h6>NCCL: Native and collision-chaining hash random int insert timing test using <tt><b>operator</b></tt> - <a href = "assoc_performance_tests.html#local">local</a></div><div style = "width: 100%; height: 20px"></div></div>
    139. 

  139. </div>
    140. 

  140. </div>
    141. 

  141. </div>
    142. 

  142. </div>
    143. 

  143. <div id="NGPG_res_div">
    144. 

  144. <div id="NGPG_gcc">
    145. 

  145. <div id="NGPG_gp_hash_random_int_subscript_timing_test_insert">
    146. 

  146. <div id="NGPG_assoc">
    147. 

  147. <div id="NGPG_Native_and_probing_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NGPG" id="NGPG"><img src="gp_hash_random_int_subscript_timing_test_insert_gcc.png" alt="no image" /></a></h6>NGPG: Native and probing hash random int insert timing test using <tt><b>operator</b></tt> - <a href="assoc_performance_tests.html#gcc">g++</a><p>In the above figure, the names in the legends have the following meaning:</p>
    148. 

  148. <ol>
    149. 

  149. <li>
    150. 

  150. gp_hash_mod_quadp_prime_nea_lc_1div8_1div2_nsth_map-
    151. 

  151. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    152. 

  152.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    153. 

  153. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    154. 

  154.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    155. 

  155. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    156. 

  156.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="quadratic_probe_fn.html"><tt>quadratic_probe_fn</tt></a>
    157. 

  157. </li>
    158. 

  158. <li>
    159. 

  159. n_hash_map_ncah-
    160. 

  160. <tt>std::tr1::unordered_map</tt> with <tt>cache_hash_code</tt> = <tt><b>false</b></tt></li>
    161. 

  161. <li>
    162. 

  162. gp_hash_mask_linp_exp_nea_lc_1div8_1div2_nsth_map-
    163. 

  163. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    164. 

  164.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    165. 

  165. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    166. 

  166.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    167. 

  167. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    168. 

  168.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="linear_probe_fn.html"><tt>linear_probe_fn</tt></a>
    169. 

  169. </li>
    170. 

  170. </ol>
    171. 

  171. </div><div style="width: 100%; height: 20px"></div></div>
    172. 

  172. </div>
    173. 

  173. </div>
    174. 

  174. </div>
    175. 

  175. </div>
    176. 

  176. <div id="NGPM_res_div">
    177. 

  177. <div id="NGPM_msvc">
    178. 

  178. <div id="NGPM_gp_hash_random_int_subscript_timing_test_insert">
    179. 

  179. <div id="NGPM_assoc">
    180. 

  180. <div id="NGPM_Native_and_probing_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NGPM" id="NGPM"><img src="gp_hash_random_int_subscript_timing_test_insert_msvc.png" alt="no image" /></a></h6>NGPM: Native and probing hash random int insert timing test using <tt><b>operator</b></tt> - <a href="assoc_performance_tests.html#msvc">msvc++</a><p>In the above figure, the names in the legends have the following meaning:</p>
    181. 

  181. <ol>
    182. 

  182. <li>
    183. 

  183. n_hash_map_ncah-
    184. 

  184. <tt>stdext::hash_map</tt></li>
    185. 

  185. <li>
    186. 

  186. gp_hash_mod_quadp_prime_nea_lc_1div8_1div2_nsth_map-
    187. 

  187. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    188. 

  188.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    189. 

  189. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    190. 

  190.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    191. 

  191. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    192. 

  192.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="quadratic_probe_fn.html"><tt>quadratic_probe_fn</tt></a>
    193. 

  193. </li>
    194. 

  194. <li>
    195. 

  195. gp_hash_mask_linp_exp_nea_lc_1div8_1div2_nsth_map-
    196. 

  196. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    197. 

  197.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    198. 

  198. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    199. 

  199.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    200. 

  200. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    201. 

  201.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="linear_probe_fn.html"><tt>linear_probe_fn</tt></a>
    202. 

  202. </li>
    203. 

  203. </ol>
    204. 

  204. </div><div style="width: 100%; height: 20px"></div></div>
    205. 

  205. </div>
    206. 

  206. </div>
    207. 

  207. </div>
    208. 

  208. </div>
    209. 

  209. <div id="NGPL_res_div">
    210. 

  210. <div id="NGPL_local">
    211. 

  211. <div id="NGPL_gp_hash_random_int_subscript_timing_test_insert">
    212. 

  212. <div id="NGPL_assoc">
    213. 

  213. <div id="NGPL_Native_and_probing_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style = "border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NGPL" id= "NGPL"><img src="gp_hash_random_int_subscript_timing_test_insert_local.png" alt="no image" /></a></h6>NGPL: Native and probing hash random int insert timing test using <tt><b>operator</b></tt> - <a href = "assoc_performance_tests.html#local">local</a></div><div style = "width: 100%; height: 20px"></div></div>
    214. 

  214. </div>
    215. 

  215. </div>
    216. 

  216. </div>
    217. 

  217. </div>
    218. 

  218. <div id="CCGPG_res_div">
    219. 

  219. <div id="CCGPG_gcc">
    220. 

  220. <div id="CCGPG_ccgp_hash_random_int_subscript_timing_test_insert">
    221. 

  221. <div id="CCGPG_assoc">
    222. 

  222. <div id="CCGPG_Collision-chaining_and_probing_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="CCGPG" id="CCGPG"><img src="ccgp_hash_random_int_subscript_timing_test_insert_gcc.png" alt="no image" /></a></h6>CCGPG: Collision-chaining and probing hash random int insert timing test using <tt><b>operator</b></tt> - <a href="assoc_performance_tests.html#gcc">g++</a><p>In the above figure, the names in the legends have the following meaning:</p>
    223. 

  223. <ol>
    224. 

  224. <li>
    225. 

  225. gp_hash_mod_quadp_prime_nea_lc_1div8_1div2_nsth_map-
    226. 

  226. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    227. 

  227.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    228. 

  228. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    229. 

  229.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    230. 

  230. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    231. 

  231.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="quadratic_probe_fn.html"><tt>quadratic_probe_fn</tt></a>
    232. 

  232. </li>
    233. 

  233. <li>
    234. 

  234. cc_hash_mod_prime_nea_lc_1div8_1div2_nsth_map-
    235. 

  235. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    236. 

  236. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    237. 

  237. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    238. 

  238.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    239. 

  239. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    240. 

  240.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    241. 

  241. <li>
    242. 

  242. cc_hash_mask_exp_nea_lc_1div8_1div2_nsth_map-
    243. 

  243. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    244. 

  244. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    245. 

  245. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    246. 

  246.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    247. 

  247. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    248. 

  248.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    249. 

  249. <li>
    250. 

  250. gp_hash_mask_linp_exp_nea_lc_1div8_1div2_nsth_map-
    251. 

  251. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    252. 

  252.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    253. 

  253. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    254. 

  254.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    255. 

  255. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    256. 

  256.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="linear_probe_fn.html"><tt>linear_probe_fn</tt></a>
    257. 

  257. </li>
    258. 

  258. </ol>
    259. 

  259. </div><div style="width: 100%; height: 20px"></div></div>
    260. 

  260. </div>
    261. 

  261. </div>
    262. 

  262. </div>
    263. 

  263. </div>
    264. 

  264. <div id="CCGPM_res_div">
    265. 

  265. <div id="CCGPM_msvc">
    266. 

  266. <div id="CCGPM_ccgp_hash_random_int_subscript_timing_test_insert">
    267. 

  267. <div id="CCGPM_assoc">
    268. 

  268. <div id="CCGPM_Collision-chaining_and_probing_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="CCGPM" id="CCGPM"><img src="ccgp_hash_random_int_subscript_timing_test_insert_msvc.png" alt="no image" /></a></h6>CCGPM: Collision-chaining and probing hash random int insert timing test using <tt><b>operator</b></tt> - <a href="assoc_performance_tests.html#msvc">msvc++</a><p>In the above figure, the names in the legends have the following meaning:</p>
    269. 

  269. <ol>
    270. 

  270. <li>
    271. 

  271. cc_hash_mod_prime_nea_lc_1div8_1div2_nsth_map-
    272. 

  272. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    273. 

  273. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    274. 

  274. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    275. 

  275.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    276. 

  276. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    277. 

  277.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    278. 

  278. <li>
    279. 

  279. cc_hash_mask_exp_nea_lc_1div8_1div2_nsth_map-
    280. 

  280. <a href="cc_hash_table.html"><tt>cc_hash_table</tt></a>
    281. 

  281. with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    282. 

  282. , and <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    283. 

  283.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    284. 

  284. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    285. 

  285.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i></li>
    286. 

  286. <li>
    287. 

  287. gp_hash_mod_quadp_prime_nea_lc_1div8_1div2_nsth_map-
    288. 

  288. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    289. 

  289.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mod_range_hashing.html"><tt>direct_mod_range_hashing</tt></a>
    290. 

  290. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    291. 

  291.  with <tt>Size_Policy</tt> = <a href="hash_prime_size_policy.html"><tt>hash_prime_size_policy</tt></a>
    292. 

  292. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    293. 

  293.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="quadratic_probe_fn.html"><tt>quadratic_probe_fn</tt></a>
    294. 

  294. </li>
    295. 

  295. <li>
    296. 

  296. gp_hash_mask_linp_exp_nea_lc_1div8_1div2_nsth_map-
    297. 

  297. <a href="gp_hash_table.html"><tt>gp_hash_table</tt></a>
    298. 

  298.  with <tt>Comb_Hash_Fn</tt> = <a href="direct_mask_range_hashing.html"><tt>direct_mask_range_hashing</tt></a>
    299. 

  299. , <tt>Resize_Policy</tt> = <a href="hash_standard_resize_policy.html"><tt>hash_standard_resize_policy</tt></a>
    300. 

  300.  with <tt>Size_Policy</tt> = <a href="hash_exponential_size_policy.html"><tt>hash_exponential_size_policy</tt></a>
    301. 

  301. , and <tt>Trigger_Policy</tt> = <a href="hash_load_check_resize_trigger.html"><tt>hash_load_check_resize_trigger</tt></a>
    302. 

  302.  with <i>&alpha;<sub>min</sub></i> = <i>1/8</i> and <i>&alpha;<sub>max</sub></i> = <i>1/2</i>, and <tt>Probe_Fn</tt> = <a href="linear_probe_fn.html"><tt>linear_probe_fn</tt></a>
    303. 

  303. </li>
    304. 

  304. </ol>
    305. 

  305. </div><div style="width: 100%; height: 20px"></div></div>
    306. 

  306. </div>
    307. 

  307. </div>
    308. 

  308. </div>
    309. 

  309. </div>
    310. 

  310. <div id="CCGPL_res_div">
    311. 

  311. <div id="CCGPL_local">
    312. 

  312. <div id="CCGPL_ccgp_hash_random_int_subscript_timing_test_insert">
    313. 

  313. <div id="CCGPL_assoc">
    314. 

  314. <div id="CCGPL_Collision-chaining_and_probing_hash_random_int_insert_timing_test_using__tt__b_operator_455b__455tt_"><div style = "border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="CCGPL" id= "CCGPL"><img src="ccgp_hash_random_int_subscript_timing_test_insert_local.png" alt="no image" /></a></h6>CCGPL: Collision-chaining and probing hash random int insert timing test using <tt><b>operator</b></tt> - <a href = "assoc_performance_tests.html#local">local</a></div><div style = "width: 100%; height: 20px"></div></div>
    315. 

  315. </div>
    316. 

  316. </div>
    317. 

  317. </div>
    318. 

  318. </div>
    319. 

  319. <h2><a name="observations" id="observations">Observations</a></h2>
    320. 

  320. <p>In this setting, as in <a href="hash_text_find_find_timing_test.html">Hash-Based Text
    321. 

  321.     <tt>find</tt> Find Timing Test</a> and <a href="hash_random_int_find_find_timing_test.html">Hash-Based
    322. 

  322.     Random-Integer <tt>find</tt> Find Timing Test</a> , the choice
    323. 

  323.     of underlying hash-table underlying hash-table (see <a href="hash_based_containers.html">Design::Associative
    324. 

  324.     Containers::Hash-Based Containers</a> ) affects performance
    325. 

  325.     most, then the range-hashing scheme (See <a href="hash_based_containers.html#hash_policies">Design::Associative
    326. 

  326.     Containers::Hash-Based Containers::Hash Policies</a> ), and,
    327. 

  327.     only finally, other policies.</p>
    328. 

  328. <p>There are some differences, however:</p>
    329. 

  329. <ol>
    330. 

  330. <li>In this setting, probing tables function sometimes more
    331. 

  331.       efficiently than collision-chaining tables (see Figures
    332. 

  332.       <a href="#CCGPG">CCGPG</a> and <a href="#CCGPM">CCGPM</a> ).
    333. 

  333.       This is explained shortly.</li>
    334. 

  334. <li>The performance graphs have a "saw-tooth" shape. The
    335. 

  335.       average insert time rises and falls. As values are inserted
    336. 

  336.       into the container, the load factor grows larger. Eventually,
    337. 

  337.       a resize occurs. The reallocations and rehashing are
    338. 

  338.       relatively expensive. After this, the load factor is smaller
    339. 

  339.       than before.</li>
    340. 

  340. </ol>
    341. 

  341. <p>Collision-chaining containers use indirection for greater
    342. 

  342.     flexibility; probing containers store values contiguously, in
    343. 

  343.     an array (see Figure <a href="motivation.html#different_underlying_data_structures">Motivation::Different
    344. 

  344.     underlying data structures</a> A and B, respectively). It
    345. 

  345.     follows that for simple data types, probing containers access
    346. 

  346.     their allocator less frequently than collision-chaining
    347. 

  347.     containers, (although they still have less efficient probing
    348. 

  348.     sequences). This explains why some probing containers fare
    349. 

  349.     better than collision-chaining containers in this case.</p>
    350. 

  350. <p>Within each type of hash-table, the range-hashing scheme
    351. 

  351.     affects performance more than other policies. This is similar
    352. 

  352.     to the situation in <a href="hash_text_find_find_timing_test.html">Hash-Based Text
    353. 

  353.     <tt>find</tt> Find Timing Test</a> and <a href="hash_random_int_find_find_timing_test.html">Hash-Based
    354. 

  354.     Random-Integer <tt>find</tt> Find Timing Test</a>.
    355. 

  355.     Unsurprisingly, however, containers with <u>lower</u>
    356. 

  356. <i>alpha<sub>max</sub></i> perform <u>worse</u> in this case,
    357. 

  357.     since more re-hashes are performed.</p>
    358. 

  358. <p><a href="assoc_performance_tests.html#hash_based_types">Observations::Hash-Based
    359. 

  359.     Container Types</a> summarizes some observations on hash-based
    360. 

  360.     containers; <a href="assoc_performance_tests.html#hash_based_policies">Observations::Hash-Based
    361. 

  361.     Containers' Policies</a> summarizes some observations on
    362. 

  362.     hash-based containers' policies.</p>
    363. 

  363. </div>
    364. 

  364. </body>
    365. 

  365. </html>
    366. 

  366.