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1 ·da5b7ce98eff90882b6d7fed7e19b9aa·18816·debug·optional·libbrahe-1.3-3-dbgsym_1.3.2-9_i386.deb1 ·da5b7ce98eff90882b6d7fed7e19b9aa·18816·debug·optional·libbrahe-1.3-3-dbgsym_1.3.2-9_i386.deb
2 ·a415216494689360a29fb7b0d0f85eaf·14360·libs·optional·libbrahe-1.3-3_1.3.2-9_i386.deb2 ·a415216494689360a29fb7b0d0f85eaf·14360·libs·optional·libbrahe-1.3-3_1.3.2-9_i386.deb
3 ·8f1b80938403f44000dd34b3bcad3d13·73400·libdevel·optional·libbrahe-dev_1.3.2-9_i386.deb3 ·850d35e78bb95fe4663784f2e2d73c48·73376·libdevel·optional·libbrahe-dev_1.3.2-9_i386.deb
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1 -rw-r--r--···0········0········0········4·2021-09-27·23:29:23.000000·debian-binary1 -rw-r--r--···0········0········0········4·2021-09-27·23:29:23.000000·debian-binary
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14 -rw-r--r--···0·root·········(0)·root·········(0)·····3545·2011-06-27·20:44:14.000000·./usr/share/doc/libbrahe-dev/LicenseClosedSource.txt14 -rw-r--r--···0·root·········(0)·root·········(0)·····3545·2011-06-27·20:44:14.000000·./usr/share/doc/libbrahe-dev/LicenseClosedSource.txt
15 -rw-r--r--···0·root·········(0)·root·········(0)·····1506·2011-06-27·20:43:04.000000·./usr/share/doc/libbrahe-dev/LicenseOpenSource.txt15 -rw-r--r--···0·root·········(0)·root·········(0)·····1506·2011-06-27·20:43:04.000000·./usr/share/doc/libbrahe-dev/LicenseOpenSource.txt
16 -rw-r--r--···0·root·········(0)·root·········(0)······291·2021-09-27·23:29:23.000000·./usr/share/doc/libbrahe-dev/README.Debian16 -rw-r--r--···0·root·········(0)·root·········(0)······291·2021-09-27·23:29:23.000000·./usr/share/doc/libbrahe-dev/README.Debian
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19 ··<ul>19 ··<ul>
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28 <a·href="#var-members">Variables</a>··</div> 
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30 </div><!--header-->31 </div><!--header-->
31 <div·class="contents">32 <div·class="contents">
32 <div·class="textblock"><code>#include·&quot;<a·class="el"·href="a00005_source.html">mathtools.h</a>&quot;</code><br·/>33 <div·class="textblock"><code>#include·&lt;stddef.h&gt;</code><br·/>
 34 <code>#include·&lt;math.h&gt;</code><br·/>
 35 <code>#include·&lt;limits.h&gt;</code><br·/>
 36 <code>#include·&lt;float.h&gt;</code><br·/>
 37 <code>#include·&lt;stdbool.h&gt;</code><br·/>
 38 <code>#include·&lt;stdint.h&gt;</code><br·/>
33 </div>39 </div>
34 <p><a·href="a00002_source.html">Go·to·the·source·code·of·this·file.</a></p>40 <p><a·href="a00002_source.html">Go·to·the·source·code·of·this·file.</a></p>
35 <table·class="memberdecls">41 <table·class="memberdecls">
36 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>42 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>
37 Data·Structures</h2></td></tr>43 Data·Structures</h2></td></tr>
38 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00019.html">brahe_prng_state_t</a></td></tr>44 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00011.html">brahe_statistics_t</a></td></tr>
39 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Contains·state·variables·for·a·PRNG.··<a·href="a00019.html#details">More...</a><br·/></td></tr>45 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Structure·containing·statistical·values·calculate·from·a·double·array.··<a·href="a00011.html#details">More...</a><br·/></td></tr>
40 <tr·class="separator:"><td·class="memSeparator"·colspan="2">&#160;</td></tr>46 <tr·class="separator:"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
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 48 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Sine·wave·definition.··<a·href="a00015.html#details">More...</a><br·/></td></tr>
 49 <tr·class="separator:"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 50 </table><table·class="memberdecls">
 51 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="define-members"·name="define-members"></a>
 52 Macros</h2></td></tr>
 53 <tr·class="memitem:a560947c90102e2d8c8bddfcdc8d9aebf"·id="r_a560947c90102e2d8c8bddfcdc8d9aebf"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#a560947c90102e2d8c8bddfcdc8d9aebf">BRAHE_E</a>&#160;&#160;&#160;2.71828182845904523536028747135</td></tr>
 54 <tr·class="memdesc:a560947c90102e2d8c8bddfcdc8d9aebf"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">e·(natural·logarithm·base··<br·/></td></tr>
 55 <tr·class="separator:a560947c90102e2d8c8bddfcdc8d9aebf"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 56 <tr·class="memitem:a2acb48c25034f68df587e0f0aa629b8c"·id="r_a2acb48c25034f68df587e0f0aa629b8c"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#a2acb48c25034f68df587e0f0aa629b8c">BRAHE_LOG2_E</a>&#160;&#160;&#160;1.44269504088896340735992468100</td></tr>
 57 <tr·class="memdesc:a2acb48c25034f68df587e0f0aa629b8c"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">log_2·(e)··<br·/></td></tr>
 58 <tr·class="separator:a2acb48c25034f68df587e0f0aa629b8c"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 59 <tr·class="memitem:af8a4b9878f8d4190d85a47fed511d1ae"·id="r_af8a4b9878f8d4190d85a47fed511d1ae"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#af8a4b9878f8d4190d85a47fed511d1ae">BRAHE_LOG10_E</a>&#160;&#160;&#160;0.43429448190325182765112891892</td></tr>
 60 <tr·class="memdesc:af8a4b9878f8d4190d85a47fed511d1ae"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">log_10·(e)··<br·/></td></tr>
 61 <tr·class="separator:af8a4b9878f8d4190d85a47fed511d1ae"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 62 <tr·class="memitem:a0f30c1a745dc06e0b8c3611c03b7d4e5"·id="r_a0f30c1a745dc06e0b8c3611c03b7d4e5"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#a0f30c1a745dc06e0b8c3611c03b7d4e5">BRAHE_SQRT_2</a>&#160;&#160;&#160;1.41421356237309504880168872421</td></tr>
 63 <tr·class="memdesc:a0f30c1a745dc06e0b8c3611c03b7d4e5"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">sqrt(2)··<br·/></td></tr>
 64 <tr·class="separator:a0f30c1a745dc06e0b8c3611c03b7d4e5"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 65 <tr·class="memitem:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"·id="r_a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#a0ab8e9aa2a0e7f80b40b8b6bd9b79659">BRAHE_SQRT_HALF</a>&#160;&#160;&#160;0.70710678118654752440084436210</td></tr>
 66 <tr·class="memdesc:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">sqrt(1/2)··<br·/></td></tr>
 67 <tr·class="separator:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 68 <tr·class="memitem:ad4551041fd2bbaa15958e2c48507ef3e"·id="r_ad4551041fd2bbaa15958e2c48507ef3e"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#ad4551041fd2bbaa15958e2c48507ef3e">BRAHE_SQRT_3</a>&#160;&#160;&#160;1.73205080756887729352744634151</td></tr>
 69 <tr·class="memdesc:ad4551041fd2bbaa15958e2c48507ef3e"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">sqrt(3)··<br·/></td></tr>
 70 <tr·class="separator:ad4551041fd2bbaa15958e2c48507ef3e"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 71 <tr·class="memitem:a4e1fedcefdcf7671b203721214900b78"·id="r_a4e1fedcefdcf7671b203721214900b78"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#a4e1fedcefdcf7671b203721214900b78">BRAHE_PI</a>&#160;&#160;&#160;3.14159265358979323846264338328</td></tr>
 72 <tr·class="memdesc:a4e1fedcefdcf7671b203721214900b78"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi·(180·deg)··<br·/></td></tr>
 73 <tr·class="separator:a4e1fedcefdcf7671b203721214900b78"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 74 <tr·class="memitem:a4fff0d018f3605f8d29a817c49c98482"·id="r_a4fff0d018f3605f8d29a817c49c98482"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#a4fff0d018f3605f8d29a817c49c98482">BRAHE_TAU</a>&#160;&#160;&#160;6.28318530717958647692528676656</td></tr>
 75 <tr·class="memdesc:a4fff0d018f3605f8d29a817c49c98482"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">tau·(2·*·pi)··<br·/></td></tr>
 76 <tr·class="separator:a4fff0d018f3605f8d29a817c49c98482"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 77 <tr·class="memitem:ae07b001cefb9e3a6cf8bf371c56119c4"·id="r_ae07b001cefb9e3a6cf8bf371c56119c4"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#ae07b001cefb9e3a6cf8bf371c56119c4">BRAHE_PI_DIV_2</a>&#160;&#160;&#160;1.57079632679489661923132169164</td></tr>
 78 <tr·class="memdesc:ae07b001cefb9e3a6cf8bf371c56119c4"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi/2·(90·deg)··<br·/></td></tr>
 79 <tr·class="separator:ae07b001cefb9e3a6cf8bf371c56119c4"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
 80 <tr·class="memitem:a8ad477fec1152a9e44d95dbae4c558cb"·id="r_a8ad477fec1152a9e44d95dbae4c558cb"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00002.html#a8ad477fec1152a9e44d95dbae4c558cb">BRAHE_PI_DIV_3</a>&#160;&#160;&#160;1.04719755119659774615421446109</td></tr>
 81 <tr·class="memdesc:a8ad477fec1152a9e44d95dbae4c558cb"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi/3·(60·deg)··<br·/></td></tr>
 82 <tr·class="separator:a8ad477fec1152a9e44d95dbae4c558cb"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
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11 D\x8Da\x8at\x8ta\x8a·S\x8St\x8tr\x8ru\x8uc\x8ct\x8tu\x8ur\x8re\x8es\x8s16 D\x8Da\x8at\x8ta\x8a·S\x8St\x8tr\x8ru\x8uc\x8ct\x8tu\x8ur\x8re\x8es\x8s
12 struct· ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t 
13  ········Contains·state·variables·for·a·PRNG.·_.M_.o_.r_.e_.._.._..17 struct· ·_.b_.r_.a_.h_.e_.__.s_.t_.a_.t_.i_.s_.t_.i_.c_.s_.__.t
 18  ········Structure·containing·statistical·values·calculate·from·a·double·array.
 19 ·········_\x8M_\x8o_\x8r_\x8e_\x8._\x8._\x8.
14  20  
 21 struct· ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8w_\x8a_\x8v_\x8e_\x8__\x8f_\x8a_\x8c_\x8t_\x8o_\x8r_\x8__\x8t
 22  ········Sine·wave·definition.·_\x8M_\x8o_\x8r_\x8e_\x8._\x8._\x8.
15 E\x8En\x8nu\x8um\x8me\x8er\x8ra\x8at\x8ti\x8io\x8on\x8ns\x8s 
16 enum· ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·{ 
17 ·······  _\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8A_\x8R_\x8S_\x8E_\x8N_\x8N_\x8E_\x8__\x8T_\x8W_\x8I_\x8S_\x8T_\x8E_\x8R·=·0·,·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8K_\x8I_\x8S_\x8S·, 
18 ·······_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8C_\x8M_\x8W_\x8C_\x84_\x80_\x89_\x86·,·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8W_\x8C_\x81_\x80_\x83_\x88·, 
19 ·······  _\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8I_\x8S_\x8A_\x8A_\x8C 
20 ·······} 
21  ······Defines·types·of·prngs.·_\x8M_\x8o_\x8r_\x8e_\x8._\x8._\x8. 
22  23  
23 F\x8Fu\x8un\x8nc\x8ct\x8ti\x8io\x8on\x8ns\x8s 
24 ····bool ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8i_\x8n_\x8i_\x8t·(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*prng_state,·const 
25 ··········_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·type,·const·uint32_t·seed) 
26  ·········Initialize·a·psuedo-random·number·generator·(PRNG)24 M.Ma.ac.cr.ro.os.s
 25 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8E   2.71828182845904523536028747135
 26  ········e·(natural·logarithm·base
 27  
 28 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8O_\x8G_\x82_\x8__\x8E   1.44269504088896340735992468100
 29  ········log_2·(e)
 30  
 31 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8O_\x8G_\x81_\x80_\x8__\x8E   0.43429448190325182765112891892
 32  ········log_10·(e)
 33  
 34 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x82   1.41421356237309504880168872421
 35  ········sqrt(2)
 36  
 37 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x8H_\x8A_\x8L_\x8F   0.70710678118654752440084436210
 38  ········sqrt(1/2)
 39  
 40 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x83   1.73205080756887729352744634151
 41  ········sqrt(3)
 42  
 43 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I   3.14159265358979323846264338328
 44  ········pi·(180·deg)
 45  
 46 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8T_\x8A_\x8U   6.28318530717958647692528676656
 47  ········tau·(2·*·pi)
 48  
 49 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x82   1.57079632679489661923132169164
 50  ········pi/2·(90·deg)
 51  
 52 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x83   1.04719755119659774615421446109
 53  ········pi/3·(60·deg)
 54  
 55 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x84   0.78539816339744830961566084582
 56  ········pi/4·(45·deg)
 57  
 58 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x86   0.52359877559829887307710723055
 59  ········pi/6·(30·deg)
 60  
 61 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x89   0.34906585039886591538473815370
 62  ········pi/9·(20·deg)
 63  
 64 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x81_\x82   0.26179938779914943653855361527
 65  ········pi·/·12·(15·deg)
 66  
 67 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x81_\x88   0.17453292519943295769236907685
 68  ········pi·/·18·(10·deg)
 69  
 70 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x83_\x86   0.08726646259971647884618453842
 71  ········pi·/·36·(5·deg)
 72  
 73 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8D_\x8E_\x8G_\x8__\x8P_\x8E_\x8R_\x8__\x8R_\x8A_\x8D   57.2957795130823208767981548141
 74  ········degrees·per·radian
 75  
 76 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8R_\x8A_\x8D_\x8__\x8P_\x8E_\x8R_\x8__\x8D_\x8E_\x8G   0.01745329251994329576923690768
 77  ········radians·per·degree
 78  
 79 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x8P_\x8I   1.77245385090551602729816748334
 80  ········sqrt(pi)
 81  
 82 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8T_\x8W_\x8O_\x8__\x8D_\x8I_\x8V_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x8P_\x8I   1.12837916709551257389615890312
 83  ········2/sqrt(pi)
 84  
 85 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8O_\x8N_\x8E_\x8__\x8D_\x8I_\x8V_\x8__\x8P_\x8I   0.31830988618379067153776752675
 86  ········1/pi
 87  
 88 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8T_\x8W_\x8O_\x8__\x8D_\x8I_\x8V_\x8__\x8P_\x8I   0.63661977236758134307553505349
 89  ········2/pi
 90  
 91 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8N_\x8__\x81_\x80   2.30258509299404568401799145468
 92  ········ln(10)
 93  
 94 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8N_\x8__\x82   0.69314718055994530941723212146
 95  ········ln(2)
27  96  
28 ····void ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8f_\x8r_\x8e_\x8e·(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*prng_state) 
29  ·········Free·resources·used·by·PRNG.97 #define ·_.B_.R_.A_.H_.E_.__.L_.O_.G_.__.2   0.30102999566398119521373889472
 98  ········log(2)
30  99  
31 uint32_t ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8n_\x8e_\x8x_\x8t·(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*prng_state) 
32  ·········Get·the·next·integer.100 #define ·_.B_.R_.A_.H_.E_.__.L_.N_.__.P_.I   1.14472988584940017414342735135
 101  ········ln(pi)
33  102  
 103 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8E_\x8U_\x8L_\x8E_\x8R   0.57721566490153286060651209008
 104  ········Euler·constant.
34 uint32_t ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8r_\x8a_\x8n_\x8g_\x8e·(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*prng_state,·const·uint32_t·lo, 
35 ··········const·uint32_t·hi) 
36  ·········Get·the·next·integer·in·the·range·[lo,hi]. 
37  105  
38 ··size_t ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8i_\x8n_\x8d_\x8e_\x8x·(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*prng_state,·const·size_t 
39 ··········length) 
40  ·········Get·the·next·random·value·as·a·size_t·index.106 T.Ty.yp.pe.ed.de.ef.fs.s
 107 typedef·enum·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8e_\x8t_\x8t_\x8y_\x8__\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8__\x8t ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8e_\x8t_\x8t_\x8y_\x8__\x8f_\x8o_\x8r_\x8m_\x8a_\x8t
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28 <div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">····Brahe·is·a·heterogenous·collection·of·mathematical·tools,··written·in·Standard·C.</span></div>28 <div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">····Brahe·is·a·heterogenous·collection·of·mathematical·tools,··written·in·Standard·C.</span></div>
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76 <div·class="line"><a·id="l00050"·name="l00050"></a><span·class="lineno">···50</span><span·class="comment">··········http:www.coyotegulch.com</span></div>76 <div·class="line"><a·id="l00050"·name="l00050"></a><span·class="lineno">···50</span><span·class="comment">··········http:www.coyotegulch.com</span></div>
77 <div·class="line"><a·id="l00051"·name="l00051"></a><span·class="lineno">···51</span><span·class="comment">*/</span></div>77 <div·class="line"><a·id="l00051"·name="l00051"></a><span·class="lineno">···51</span><span·class="comment">*/</span></div>
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79 <div·class="line"><a·id="l00053"·name="l00053"></a><span·class="lineno">···53</span><span·class="preprocessor">#if·!defined(LIBBRAHE_PRNG_H)</span></div>79 <div·class="line"><a·id="l00053"·name="l00053"></a><span·class="lineno">···53</span><span·class="preprocessor">#if·!defined(LIBBRAHE_MATHTOOLS_H)</span></div>
80 <div·class="line"><a·id="l00054"·name="l00054"></a><span·class="lineno">···54</span><span·class="preprocessor">#define·LIBBRAHE_PRNG_H</span></div>80 <div·class="line"><a·id="l00054"·name="l00054"></a><span·class="lineno">···54</span><span·class="preprocessor">#define·LIBBRAHE_MATHTOOLS_H</span></div>
81 <div·class="line"><a·id="l00055"·name="l00055"></a><span·class="lineno">···55</span>·</div>81 <div·class="line"><a·id="l00055"·name="l00055"></a><span·class="lineno">···55</span>·</div>
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 83 <div·class="line"><a·id="l00057"·name="l00057"></a><span·class="lineno">···57</span><span·class="preprocessor">#include·&lt;math.h&gt;</span></div>
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 85 <div·class="line"><a·id="l00059"·name="l00059"></a><span·class="lineno">···59</span><span·class="preprocessor">#include·&lt;float.h&gt;</span></div>
83 <div·class="line"><a·id="l00057"·name="l00057"></a><span·class="lineno">···57</span>·</div>86 <div·class="line"><a·id="l00060"·name="l00060"></a><span·class="lineno">···60</span>·</div>
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86 <div·class="line"><a·id="l00060"·name="l00060"></a><span·class="lineno">···60</span><span·class="preprocessor">#endif</span></div>89 <div·class="line"><a·id="l00063"·name="l00063"></a><span·class="lineno">···63</span><span·class="preprocessor">#endif</span></div>
87 <div·class="line"><a·id="l00061"·name="l00061"></a><span·class="lineno">···61</span>·</div> 
88 <div·class="foldopen"·id="foldopen00063"·data-start="{"·data-end="};"> 
89 <div·class="line"><a·id="l00063"·name="l00063"></a><span·class="lineno"><a·class="line"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720e">···63</a></span><span·class="keyword">typedef</span>·<span·class="keyword">enum</span></div> 
90 <div·class="line"><a·id="l00064"·name="l00064"></a><span·class="lineno">···64</span>{</div>90 <div·class="line"><a·id="l00064"·name="l00064"></a><span·class="lineno">···64</span>·</div>
91 <div·class="line"><a·id="l00066"·name="l00066"></a><span·class="lineno"><a·class="line"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eacbbe4b8e3a60f457f9339986ec220449">···66</a></span>····<a·class="code·hl_enumvalue"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eacbbe4b8e3a60f457f9339986ec220449">BRAHE_PRNG_MARSENNE_TWISTER</a>·=·0,</div> 
92 <div·class="line"><a·id="l00068"·name="l00068"></a><span·class="lineno"><a·class="line"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eafcc7277e0bbac3b961935b09cbad59cc">···68</a></span>····<a·class="code·hl_enumvalue"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eafcc7277e0bbac3b961935b09cbad59cc">BRAHE_PRNG_KISS</a>,</div> 
93 <div·class="line"><a·id="l00070"·name="l00070"></a><span·class="lineno"><a·class="line"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eaf55681bb0cfb8407c77edf2ec6b0a9aa">···70</a></span>····<a·class="code·hl_enumvalue"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eaf55681bb0cfb8407c77edf2ec6b0a9aa">BRAHE_PRNG_CMWC4096</a>,</div> 
94 <div·class="line"><a·id="l00072"·name="l00072"></a><span·class="lineno"><a·class="line"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eacf1801e2b0961c33846a2c60ac4664a8">···72</a></span>····<a·class="code·hl_enumvalue"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720eacf1801e2b0961c33846a2c60ac4664a8">BRAHE_PRNG_MWC1038</a>,</div> 
95 <div·class="line"><a·id="l00074"·name="l00074"></a><span·class="lineno">···74</span>····<a·class="code·hl_enumvalue"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720ea359f2920c704eef068c741e35819a3c2">BRAHE_PRNG_ISAAC</a></div> 
96 <div·class="line"><a·id="l00075"·name="l00075"></a><span·class="lineno"><a·class="line"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720ea359f2920c704eef068c741e35819a3c2">···75</a></span>}·<a·class="code·hl_enumeration"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720e">brahe_prng_type_t</a>;</div> 
97 </div>91 <div·class="line"><a·id="l00065"·name="l00065"></a><span·class="lineno">···65</span><span·class="preprocessor">#if·defined(_MSC_VER)</span></div>
 92 <div·class="line"><a·id="l00066"·name="l00066"></a><span·class="lineno">···66</span><span·class="preprocessor">#pragma·warning·(disable:·4244·4267·4996)</span></div>
 93 <div·class="line"><a·id="l00067"·name="l00067"></a><span·class="lineno">···67</span><span·class="preprocessor">#if·!defined(__cplusplus)</span></div>
 94 <div·class="line"><a·id="l00068"·name="l00068"></a><span·class="lineno">···68</span><span·class="keyword">typedef</span>·<span·class="keywordtype">char</span>·bool;</div>
 95 <div·class="line"><a·id="l00069"·name="l00069"></a><span·class="lineno">···69</span><span·class="keyword">static</span>·<span·class="keyword">const</span>·<span·class="keywordtype">int</span>·<span·class="keyword">true</span>··=·1;</div>
 96 <div·class="line"><a·id="l00070"·name="l00070"></a><span·class="lineno">···70</span><span·class="keyword">static</span>·<span·class="keyword">const</span>·<span·class="keywordtype">int</span>·<span·class="keyword">false</span>·=·0;</div>
 97 <div·class="line"><a·id="l00071"·name="l00071"></a><span·class="lineno">···71</span><span·class="preprocessor">#endif</span></div>
 98 <div·class="line"><a·id="l00072"·name="l00072"></a><span·class="lineno">···72</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int64·uint64_t;</div>
 99 <div·class="line"><a·id="l00073"·name="l00073"></a><span·class="lineno">···73</span><span·class="keyword">typedef</span>·__int64··········int64_t;</div>
 100 <div·class="line"><a·id="l00074"·name="l00074"></a><span·class="lineno">···74</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int32·uint32_t;</div>
 101 <div·class="line"><a·id="l00075"·name="l00075"></a><span·class="lineno">···75</span><span·class="keyword">typedef</span>·__int32··········int32_t;</div>
 102 <div·class="line"><a·id="l00076"·name="l00076"></a><span·class="lineno">···76</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int16·uint16_t;</div>
 103 <div·class="line"><a·id="l00077"·name="l00077"></a><span·class="lineno">···77</span><span·class="keyword">typedef</span>·__int16··········int16_t;</div>
 104 <div·class="line"><a·id="l00078"·name="l00078"></a><span·class="lineno">···78</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int8··uint8_t;</div>
 105 <div·class="line"><a·id="l00079"·name="l00079"></a><span·class="lineno">···79</span><span·class="keyword">typedef</span>·__int8···········int8_t;</div>
 106 <div·class="line"><a·id="l00080"·name="l00080"></a><span·class="lineno">···80</span><span·class="preprocessor">#else</span></div>
 107 <div·class="line"><a·id="l00081"·name="l00081"></a><span·class="lineno">···81</span><span·class="comment">//·ISO·C·standard·compilers</span></div>
 108 <div·class="line"><a·id="l00082"·name="l00082"></a><span·class="lineno">···82</span><span·class="preprocessor">#include·&lt;stdbool.h&gt;</span></div>
 109 <div·class="line"><a·id="l00083"·name="l00083"></a><span·class="lineno">···83</span><span·class="preprocessor">#include·&lt;stdint.h&gt;</span></div>
 110 <div·class="line"><a·id="l00084"·name="l00084"></a><span·class="lineno">···84</span><span·class="preprocessor">#endif</span></div>
98 <div·class="line"><a·id="l00076"·name="l00076"></a><span·class="lineno">···76</span>·</div>111 <div·class="line"><a·id="l00085"·name="l00085"></a><span·class="lineno">···85</span>·</div>
 112 <div·class="line"><a·id="l00086"·name="l00086"></a><span·class="lineno">···86</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
99 <div·class="foldopen"·id="foldopen00078"·data-start="{"·data-end="};"> 
100 <div·class="line"><a·id="l00078"·name="l00078"></a><span·class="lineno"><a·class="line"·href="a00019.html">···78</a></span><span·class="keyword">typedef</span>·<span·class="keyword">struct</span></div> 
101 <div·class="line"><a·id="l00079"·name="l00079"></a><span·class="lineno">···79</span>{</div>113 <div·class="line"><a·id="l00087"·name="l00087"></a><span·class="lineno">···87</span><span·class="comment">//·Rounding</span></div>
 114 <div·class="line"><a·id="l00088"·name="l00088"></a><span·class="lineno">···88</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
102 <div·class="line"><a·id="l00080"·name="l00080"></a><span·class="lineno"><a·class="line"·href="a00019.html#a9f2078ad17c0f7419615612095e5a2f9">···80</a></span>····<a·class="code·hl_enumeration"·href="a00002.html#ab4582ba9e011d83ad4a1e89253ca720e">brahe_prng_type_t</a>·<a·class="code·hl_variable"·href="a00019.html#a9f2078ad17c0f7419615612095e5a2f9">m_type</a>;··<span·class="comment">//·the·algorithm·we&#39;re·using</span></div> 
103 <div·class="line"><a·id="l00081"·name="l00081"></a><span·class="lineno"><a·class="line"·href="a00019.html#af5206b6244c8753440ff20f1f76a175a">···81</a></span>····uint32_t··········<a·class="code·hl_variable"·href="a00019.html#af5206b6244c8753440ff20f1f76a175a">m_seed</a>;··<span·class="comment">//·&quot;seed&quot;·that·defines·the·sequence</span></div> 
104 <div·class="line"><a·id="l00082"·name="l00082"></a><span·class="lineno"><a·class="line"·href="a00019.html#a42f53928d2187b3308dcf4da6b255bf9">···82</a></span>····<span·class="keywordtype">void</span>·*············<a·class="code·hl_variable"·href="a00019.html#a42f53928d2187b3308dcf4da6b255bf9">m_data1</a>;·<span·class="comment">//·array·or·table</span></div> 
105 <div·class="line"><a·id="l00083"·name="l00083"></a><span·class="lineno"><a·class="line"·href="a00019.html#a042df53593bba46d7efd6f5d8e28ed4e">···83</a></span>····<span·class="keywordtype">void</span>·*············<a·class="code·hl_variable"·href="a00019.html#a042df53593bba46d7efd6f5d8e28ed4e">m_data2</a>;·<span·class="comment">//·additional·array·or·table</span></div> 
106 <div·class="line"><a·id="l00084"·name="l00084"></a><span·class="lineno"><a·class="line"·href="a00019.html#a625009951fe87f86983c807c6135b4fe">···84</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a625009951fe87f86983c807c6135b4fe">m_i</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div> 
107 <div·class="line"><a·id="l00085"·name="l00085"></a><span·class="lineno"><a·class="line"·href="a00019.html#a688c60fa7da6b47bd0695116bae468c7">···85</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a688c60fa7da6b47bd0695116bae468c7">m_a</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div> 
108 <div·class="line"><a·id="l00086"·name="l00086"></a><span·class="lineno"><a·class="line"·href="a00019.html#a0c7c6a9c9667bc1348a9691b60f4e0a5">···86</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a0c7c6a9c9667bc1348a9691b60f4e0a5">m_b</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div> 
109 <div·class="line"><a·id="l00087"·name="l00087"></a><span·class="lineno"><a·class="line"·href="a00019.html#a7507d91304c213585aaa07f8f0e43046">···87</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a7507d91304c213585aaa07f8f0e43046">m_c</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div> 
110 <div·class="line"><a·id="l00088"·name="l00088"></a><span·class="lineno">···88</span>}·<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>;</div> 
111 </div> 
112 <div·class="line"><a·id="l00089"·name="l00089"></a><span·class="lineno">···89</span>·</div>115 <div·class="line"><a·id="l00089"·name="l00089"></a><span·class="lineno">···89</span>·</div>
113 <div·class="line"><a·id="l00090"·name="l00090"></a><span·class="lineno"><a·class="line"·href="a00002.html#a23e603aa011a19244ead42ab38dca8fd">···90</a></span><span·class="keyword">static</span>·uint32_t·<a·class="code·hl_variable"·href="a00002.html#a23e603aa011a19244ead42ab38dca8fd">BRAHE_UNKNOWN_SEED</a>·=·0;</div> 
114 <div·class="line"><a·id="l00091"·name="l00091"></a><span·class="lineno">···91</span>·</div>116 <div·class="line"><a·id="l00091"·name="l00091"></a><span·class="lineno">···91</span>·</div>
 117 <div·class="line"><a·id="l00094"·name="l00094"></a><span·class="lineno"><a·class="line"·href="a00002.html#a12a41b5db8722b0e2b834839d5ccdccb">···94</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00002.html#a12a41b5db8722b0e2b834839d5ccdccb">brahe_round_nearest</a>(<span·class="keyword">const</span>·<span·class="keywordtype">double</span>·x);</div>
115 <div·class="line"><a·id="l00093"·name="l00093"></a><span·class="lineno">···93</span>·</div>118 <div·class="line"><a·id="l00095"·name="l00095"></a><span·class="lineno">···95</span>·</div>
116 <div·class="line"><a·id="l00100"·name="l00100"></a><span·class="lineno"><a·class="line"·href="a00002.html#a38e903833e609b58084492cb9fd9aca7">··100</a></span><span·class="keywordtype">bool</span>·<a·class="code·hl_function"·href="a00002.html#a38e903833e609b58084492cb9fd9aca7">brahe_pr[·...·truncated·by·diffoscope;·len:·291,·SHA:·ef11ca895ab42ddb5cff40d9714a6fbbbb0633a90198136617d4101ab577b4a1·...·]</div>119 <div·class="line"><a·id="l00097"·name="l00097"></a><span·class="lineno">···97</span>·</div>
 120 <div·class="line"><a·id="l00104"·name="l00104"></a><span·class="lineno"><a·class="line"·href="a00002.html#a717b79e8bf4bbd4048bf86996dd7cb85">··104</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00002.html#a717b79e8bf4bbd4048bf86996dd7cb85">brahe_sigdig</a>(<span·class="keyword">const</span>·<span·class="keywordtype">double</span>·x,·<span·class="keyword">const</span>·uint16_t·n);</div>
117 <div·class="line"><a·id="l00101"·name="l00101"></a><span·class="lineno">··101</span>·</div>121 <div·class="line"><a·id="l00105"·name="l00105"></a><span·class="lineno">··105</span>·</div>
118 <div·class="line"><a·id="l00103"·name="l00103"></a><span·class="lineno">··103</span>·</div> 
119 <div·class="line"><a·id="l00108"·name="l00108"></a><span·class="lineno"><a·class="line"·href="a00002.html#a446dd0183094e83631777c2ea89855b3">··108</a></span><span·class="keywordtype">void</span>·<a·class="code·hl_function"·href="a00002.html#a446dd0183094e83631777c2ea89855b3">brahe_prng[·...·truncated·by·diffoscope;·len:·92,·SHA:·3ec0c6328becc3a4cb66c90111a831face3dd29a9d80e27d0362d2a51a497f9b·...·]</div>122 <div·class="line"><a·id="l00106"·name="l00106"></a><span·class="lineno">··106</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
 123 <div·class="line"><a·id="l00107"·name="l00107"></a><span·class="lineno">··107</span><span·class="comment">//·Lowest·Common·Multple·(LCM)·and·Lowest·Common·Denominator·(GCD)</span></div>
 124 <div·class="line"><a·id="l00108"·name="l00108"></a><span·class="lineno">··108</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
120 <div·class="line"><a·id="l00109"·name="l00109"></a><span·class="lineno">··109</span>·</div>125 <div·class="line"><a·id="l00109"·name="l00109"></a><span·class="lineno">··109</span>·</div>
121 <div·class="line"><a·id="l00111"·name="l00111"></a><span·class="lineno">··111</span>·</div>126 <div·class="line"><a·id="l00111"·name="l00111"></a><span·class="lineno">··111</span>·</div>
122 <div·class="line"><a·id="l00116"·name="l00116"></a><span·class="lineno"><a·class="line"·href="a00002.html#ac593be050799621ea1c90efa6ddfe11a">··116</a></span>uint32_t·<a·class="code·hl_function"·href="a00002.html#ac593be050799621ea1c90efa6ddfe11a">brahe_prng_next</a>(<a·class="code·hl_s[·...·truncated·by·diffoscope;·len:·61,·SHA:·c8d220af5fefd745a1fbacf480065924f9f0c7ded9a95e38a2883518ad7bf20c·...·]);</div>127 <div·class="line"><a·id="l00117"·name="l00117"></a><span·class="lineno"><a·class="line"·href="a00002.html#a683332a0c88ab75687f8c335d15fd08c">··117</a></span>uint64_t·<a·class="code·hl_function"·href="a00002.html#a683332a0c88ab75687f8c335d15fd08c">brahe_lcm</a>(<span·class="keyword">con[·...·truncated·by·diffoscope;·len:·67,·SHA:·c79aae3c70b5485a1ba31c1bcfd26d069c9771d80126fb143b8d23c59b4b9c4e·...·]);</div>
123 <div·class="line"><a·id="l00117"·name="l00117"></a><span·class="lineno">··117</span>·</div>128 <div·class="line"><a·id="l00118"·name="l00118"></a><span·class="lineno">··118</span>·</div>
124 <div·class="line"><a·id="l00119"·name="l00119"></a><span·class="lineno">··119</span>·</div>129 <div·class="line"><a·id="l00120"·name="l00120"></a><span·class="lineno">··120</span>·</div>
125 <div·class="line"><a·id="l00126"·name="l00126"></a><span·class="lineno"><a·class="line"·href="a00002.html#a2f2e385d51ac163baeee5bd1f72062c5">··126</a></span>uint32_t·<a·class="code·hl_function"·href="a00002.html#a2f2e385d51ac163baeee5bd1f72062c5">brahe_prng_range</a>(<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>·*·prng_state,·<span·class="[·...·truncated·by·diffoscope;·len:·81,·SHA:·aeb935d9389748c9f584b0f29f89d874ad07cad268ac7466a1f2bf185bc9e4cc·...·]);</div>130 <div·class="line"><a·id="l00126"·name="l00126"></a><span·class="lineno"><a·class="line"·href="a00002.html#add171e9317dd7e7f44d16d864f0c457c">··126</a></span>uint64_t·<a·class="code·hl_function"·href="a00002.html#add171e9317dd7e7f44d16d864f0c457c">brahe_gcf</a>(uint64_t·x,·uint64_t·y);</div>
126 <div·class="line"><a·id="l00127"·name="l00127"></a><span·class="lineno">··127</span>·</div>131 <div·class="line"><a·id="l00127"·name="l00127"></a><span·class="lineno">··127</span>·</div>
 132 <div·class="line"><a·id="l00128"·name="l00128"></a><span·class="lineno">··128</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
127 <div·class="line"><a·id="l00129"·name="l00129"></a><span·class="lineno">··129</span>·</div>133 <div·class="line"><a·id="l00129"·name="l00129"></a><span·class="lineno">··129</span><span·class="comment">//·Logarithms</span></div>
128 <div·class="line"><a·id="l00135"·name="l00135"></a><span·class="lineno"><a·class="line"·href="a00002.html#a026536c634b622ba52342c94634e6f5b">··135</a></span><span·class="keywordtype">size_t</span>·<a·class="code·hl_function"·href="a00002.html#a026536c634b622ba52342c94634e6f5b">brahe_pr[·...·truncated·by·diffoscope;·len:·178,·SHA:·9d955575efae54ebea6d20c77542665339d4874af514426981df570a6f3cf007·...·]</div>134 <div·class="line"><a·id="l00130"·name="l00130"></a><span·class="lineno">··130</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
129 <div·class="line"><a·id="l00136"·name="l00136"></a><span·class="lineno">··136</span>·</div>135 <div·class="line"><a·id="l00131"·name="l00131"></a><span·class="lineno">··131</span>·</div>
130 <div·class="line"><a·id="l00138"·name="l00138"></a><span·class="lineno">··138</span>·</div>136 <div·class="line"><a·id="l00133"·name="l00133"></a><span·class="lineno">··133</span>·</div>
131 <div·class="line"><a·id="l00145"·name="l00145"></a><span·class="lineno"><a·class="line"·href="a00002.html#a7260ea48236078622849dca9acecac25">··145</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00002.html#a7260ea48236078622849dca9acecac25">brahe_pr[·...·truncated·by·diffoscope;·len:·92,·SHA:·88051818baa34397a963b7d776d14ddaab917fe9555fb1699006917187684929·...·]e);</div>137 <div·class="line"><a·id="l00140"·name="l00140"></a><span·class="lineno"><a·class="line"·href="a00002.html#a0dcca39378c18fd880f2a4a1c6498b7e">··140</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00002.html#a0dcca39378c18fd880f2a4a1c6498b7e">brahe_lo[·...·truncated·by·diffoscope;·len:·167,·SHA:·907bda97a035af5bd2953665b5453c6b5d13ce3e4dd207a7a9961f4ba8b464d7·...·]e);</div>
132 <div·class="line"><a·id="l00146"·name="l00146"></a><span·class="lineno">··146</span>·</div>138 <div·class="line"><a·id="l00141"·name="l00141"></a><span·class="lineno">··141</span>·</div>
133 <div·class="line"><a·id="l00148"·name="l00148"></a><span·class="lineno">··148</span>·</div>139 <div·class="line"><a·id="l00143"·name="l00143"></a><span·class="lineno">··143</span>·</div>
134 <div·class="line"><a·id="l00155"·name="l00155"></a><span·class="lineno"><a·class="line"·href="a00002.html#a2b13c79f6dfe01ac78793bc8af947935">··155</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00002.html#a2b13c79f6dfe01ac78793bc8af947935">brahe_p[·...·truncated·by·diffoscope;·len:·94,·SHA:·5c1483fe3f9c37a47446697d38dd8a1e626f2eadb4319485c18b46e55e6d5fc7·...·]);</div>140 <div·class="line"><a·id="l00148"·name="l00148"></a><span·class="lineno"><a·class="line"·href="a00002.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">··148</a></span><span·class="keywordtype">int</span>·<a·class="code·hl_function"·href="a00002.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">brahe_size[·...·truncated·by·diffoscope;·len:·82,·SHA:·b231be088b3d869a267bb8e565c6d18e86a670cba0073d414c9cb28f154aa742·...·]);</div>
 141 <div·class="line"><a·id="l00149"·name="l00149"></a><span·class="lineno">··149</span>·</div>
 142 <div·class="line"><a·id="l00150"·name="l00150"></a><span·class="lineno">··150</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
 143 <div·class="line"><a·id="l00151"·name="l00151"></a><span·class="lineno">··151</span><span·class="comment">//·Statistical·functions</span></div>
 144 <div·class="line"><a·id="l00152"·name="l00152"></a><span·class="lineno">··152</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
 145 <div·class="line"><a·id="l00153"·name="l00153"></a><span·class="lineno">··153</span>·</div>
 146 <div·class="foldopen"·id="foldopen00155"·data-start="{"·data-end="};">
 147 <div·class="line"><a·id="l00155"·name="l00155"></a><span·class="lineno"><a·class="line"·href="a00002.html#a27c66fb5daf87a5e45d8e80c15683e32">··155</a></span><span·class="keyword">typedef</span>·<span·class="keyword">enum</span>·<a·class="code·hl_enumeration"·href="a00002.html#a27c66fb5daf87a5e45d8e80c15683e32">brahe_pretty_format_t</a></div>
135 <div·class="line"><a·id="l00156"·name="l00156"></a><span·class="lineno">··156</span>·</div>148 <div·class="line"><a·id="l00156"·name="l00156"></a><span·class="lineno">··156</span>{</div>
136 <div·class="line"><a·id="l00158"·name="l00158"></a><span·class="lineno">··158</span>·</div> 
137 <div·class="line"><a·id="l00165"·name="l00165"></a><span·class="lineno"><a·class="line"·href="a00002.html#ad9875fe400e929989d0ca645fdb91366">··165</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00002.html#ad9875fe400e929989d0ca645fdb91366">brahe_p[·...·truncated·by·diffoscope;·len:·96,·SHA:·1c898a265580de69245e6efe24a95459dcf60a63cad4cd5ac7aa947da8184edb·...·]</div>149 <div·class="line"><a·id="l00158"·name="l00158"></a><span·class="lineno"><a·class="line"·href="a00002.html#a27c66fb5daf87a5e45d8e80c15683e32a7cf956fda0334adb6a2cab5867471131">··158</a></span>····<a·class="code·hl_enumvalue"·href="a00002.html#a27c66fb5daf87a5e45d8e80c15683e32a7cf956fda0[·...·truncated·by·diffoscope;·len:·46,·SHA:·11d905b4d873f7a1c409a629dd65d31f7b3e2e0821705d06b3d8e1d8d0554743·...·]</div>
 150 <div·class="line"><a·id="l00160"·name="l00160"></a><span·class="lineno">··160</span>····<a·class="code·hl_enumvalue"·href="a00002.html#a27c66fb5daf87a5e45d8e80c15683e32a0a91a8358d264801da6b2fbc3b923a9b">BRAHE_PRETTY_COMMA</a></div>
 151 <div·class="line"><a·id="l00161"·name="l00161"></a><span·class="lineno"><a·class="line"·href="a00002.html#a27c66fb5daf87a5e45d8e80c15683e32a0a91a8358d264801da6b2fbc3b923a9b">··161</a></span>}</div>
 152 </div>
 153 <div·class="line"><a·id="l00162"·name="l00162"></a><span·class="lineno"><a·class="line"·href="a00002.html#abf46a4ae1f8b36a45d7a874268b7002c">··162</a></span><a·class="code·hl_typedef"·href="a00002.html#abf46a4ae1f8b36a45d7a874268b7002c">brahe_pretty_format</a>;</div>
138 <div·class="line"><a·id="l00166"·name="l00166"></a><span·class="lineno">··166</span>·</div>154 <div·class="line"><a·id="l00163"·name="l00163"></a><span·class="lineno">··163</span>·</div>
139 <div·class="line"><a·id="l00168"·name="l00168"></a><span·class="lineno">··168</span>·</div>155 <div·class="line"><a·id="l00165"·name="l00165"></a><span·class="lineno">··165</span>·</div>
140 <div·class="line"><a·id="l00175"·name="l00175"></a><span·class="lineno"><a·class="line"·href="a00002.html#ad1b9854068434822d472bb7088d7795e">··175</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00002.html#ad1b9854068434822d472bb7088d7795e">brahe_pr[·...·truncated·by·diffoscope;·len:·94,·SHA:·99eee19d1ac337988dffec72fdab0ccd97b65a0522d8c8b4f880bd44c111f115·...·]);</div>156 <div·class="line"><a·id="l00171"·name="l00171"></a><span·class="lineno"><a·class="line"·href="a00002.html#a3b809b316785a9a0a2c3d58630cf9a64">··171</a></span><span·class="keywordtype">char</span>·*·<a·class="code·hl_function"·href="a00002.html#a3b809b316785a9a0a2c3d58630cf9a64">brahe_pr[·...·truncated·by·diffoscope;·len:·131,·SHA:·175aef0ccd35798e30cbf6fe33055595ead1e4d3303e84de78ff6a91d4c02106·...·]);</div>
 157 <div·class="line"><a·id="l00172"·name="l00172"></a><span·class="lineno">··172</span>·</div>
 158 <div·class="line"><a·id="l00173"·name="l00173"></a><span·class="lineno">··173</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>
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1 ·····*\x8**\x8**\x8**\x8**\x8**\x8*·B\x8Br\x8ra\x8ah\x8he\x8e·-\x8-·a\x8a·h\x8he\x8et\x8te\x8er\x8ro\x8og\x8ge\x8en\x8no\x8ou\x8us\x8s·c\x8co\x8ol\x8ll\x8le\x8ec\x8ct\x8ti\x8io\x8on\x8n·o\x8of\x8f·m\x8ma\x8at\x8th\x8he\x8em\x8ma\x8at\x8ti\x8ic\x8ca\x8al\x8l·t\x8to\x8oo\x8ol\x8ls\x8s·*\x8**\x8**\x8**\x8**\x8**\x8*1 ·····*\x8**\x8**\x8**\x8**\x8**\x8*·B\x8Br\x8ra\x8ah\x8he\x8e·-\x8-·a\x8a·h\x8he\x8et\x8te\x8er\x8ro\x8og\x8ge\x8en\x8no\x8ou\x8us\x8s·c\x8co\x8ol\x8ll\x8le\x8ec\x8ct\x8ti\x8io\x8on\x8n·o\x8of\x8f·m\x8ma\x8at\x8th\x8he\x8em\x8ma\x8at\x8ti\x8ic\x8ca\x8al\x8l·t\x8to\x8oo\x8ol\x8ls\x8s·*\x8**\x8**\x8**\x8**\x8**\x8*
2 ·······························*\x8**\x8**\x8**\x8**\x8*·_\x8M\x8M_\x8a\x8a_\x8i\x8i_\x8n\x8n_\x8·_\x8I\x8I_\x8n\x8n_\x8d\x8d_\x8e\x8e_\x8x\x8x2 ·······························*\x8**\x8**\x8**\x8**\x8*·_\x8M\x8M_\x8a\x8a_\x8i\x8i_\x8n\x8n_\x8·_\x8I\x8I_\x8n\x8n_\x8d\x8d_\x8e\x8e_\x8x\x8x
3 ································_\x8H\x8H_\x8o\x8o_\x8m\x8m_\x8e\x8e_\x8·_\x8P\x8P_\x8a\x8a_\x8g\x8g_\x8e\x8e·*\x8**\x8**\x8**\x8**\x8*3 ································_\x8H\x8H_\x8o\x8o_\x8m\x8m_\x8e\x8e_\x8·_\x8P\x8P_\x8a\x8a_\x8g\x8g_\x8e\x8e·*\x8**\x8**\x8**\x8**\x8*
4 ·························Created·by·_\x8S_\x8c_\x8o_\x8t_\x8t_\x8·_\x8R_\x8o_\x8b_\x8e_\x8r_\x8t_\x8·_\x8L_\x8a_\x8d_\x8d4 ·························Created·by·_\x8S_\x8c_\x8o_\x8t_\x8t_\x8·_\x8R_\x8o_\x8b_\x8e_\x8r_\x8t_\x8·_\x8L_\x8a_\x8d_\x8d
5 ===============================================================================5 ===============================================================================
6 ····*·_\x8s_\x8r_\x8c6 ····*·_\x8s_\x8r_\x8c
7 prng.h7 mathtools.h
8 _\x8G_\x8o_\x8·_\x8t_\x8o_\x8·_\x8t_\x8h_\x8e_\x8·_\x8d_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8o_\x8f_\x8·_\x8t_\x8h_\x8i_\x8s_\x8·_\x8f_\x8i_\x8l_\x8e_\x8.8 _\x8G_\x8o_\x8·_\x8t_\x8o_\x8·_\x8t_\x8h_\x8e_\x8·_\x8d_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8o_\x8f_\x8·_\x8t_\x8h_\x8i_\x8s_\x8·_\x8f_\x8i_\x8l_\x8e_\x8.
9 1/*9 1/*
10 2·Brahe·is·a·heterogenous·collection·of·mathematical·tools,·written·in·Standard10 2·Brahe·is·a·heterogenous·collection·of·mathematical·tools,·written·in·Standard
11 C.11 C.
12 312 3
13 4·Copyright·2011·Scott·Robert·Ladd.·All·rights·reserved.13 4·Copyright·2011·Scott·Robert·Ladd.·All·rights·reserved.
14 514 5
Offset 73, 161 lines modifiedOffset 73, 326 lines modified
73 46·The·author·can·be·contacted·at:73 46·The·author·can·be·contacted·at:
74 4774 47
75 48·scott.ladd@coyotegulch.com75 48·scott.ladd@coyotegulch.com
76 49·scott.ladd@gmail.com76 49·scott.ladd@gmail.com
77 50·http:www.coyotegulch.com77 50·http:www.coyotegulch.com
78 51*/78 51*/
79 5279 52
80 53#if·!defined(LIBBRAHE_PRNG_H)80 53#if·!defined(LIBBRAHE_MATHTOOLS_H)
81 54#define·LIBBRAHE_PRNG_H81 54#define·LIBBRAHE_MATHTOOLS_H
82 5582 55
83 56#include·"_\x8m_\x8a_\x8t_\x8h_\x8t_\x8o_\x8o_\x8l_\x8s_\x8._\x8h" 
84 5783 56#include·<stddef.h>
 84 57#include·<math.h>
 85 58#include·<limits.h>
 86 59#include·<float.h>
 87 60
85 58#if·defined(__cplusplus)88 61#if·defined(__cplusplus)
86 59extern·"C"·{89 62extern·"C"·{
87 60#endif90 63#endif
88 61 
89 _\x86_\x83typedef·enum 
90 64{91 64
91 _\x86_\x86·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8A_\x8R_\x8S_\x8E_\x8N_\x8N_\x8E_\x8__\x8T_\x8W_\x8I_\x8S_\x8T_\x8E_\x8R·=·0, 
92 _\x86_\x88·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8K_\x8I_\x8S_\x8S, 
93 _\x87_\x80·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8C_\x8M_\x8W_\x8C_\x84_\x80_\x89_\x86, 
94 _\x87_\x82·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8W_\x8C_\x81_\x80_\x83_\x88, 
95 74·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8I_\x8S_\x8A_\x8A_\x8C 
96 _\x87_\x85}·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t; 
97 76 
98 _\x87_\x88typedef·struct 
99 79{ 
100 _\x88_\x80·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·_\x8m_\x8__\x8t_\x8y_\x8p_\x8e;·//·the·algorithm·we're·using 
101 _\x88_\x81·uint32_t·_\x8m_\x8__\x8s_\x8e_\x8e_\x8d;·//·"seed"·that·defines·the·sequence 
102 _\x88_\x82·void·*·_\x8m_\x8__\x8d_\x8a_\x8t_\x8a_\x81;·//·array·or·table 
103 _\x88_\x83·void·*·_\x8m_\x8__\x8d_\x8a_\x8t_\x8a_\x82;·//·additional·array·or·table 
104 _\x88_\x84·size_t·_\x8m_\x8__\x8i;·//·only·used·by·some·algorithms 
105 _\x88_\x85·size_t·_\x8m_\x8__\x8a;·//·only·used·by·some·algorithms 
106 _\x88_\x86·size_t·_\x8m_\x8__\x8b;·//·only·used·by·some·algorithms 
107 _\x88_\x87·size_t·_\x8m_\x8__\x8c;·//·only·used·by·some·algorithms 
108 88}·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t;92 65#if·defined(_MSC_VER)
 93 66#pragma·warning·(disable:·4244·4267·4996)
 94 67#if·!defined(__cplusplus)
 95 68typedef·char·bool;
 96 69static·const·int·true·=·1;
 97 70static·const·int·false·=·0;
 98 71#endif
 99 72typedef·unsigned·__int64·uint64_t;
 100 73typedef·__int64·int64_t;
 101 74typedef·unsigned·__int32·uint32_t;
 102 75typedef·__int32·int32_t;
 103 76typedef·unsigned·__int16·uint16_t;
 104 77typedef·__int16·int16_t;
 105 78typedef·unsigned·__int8·uint8_t;
 106 79typedef·__int8·int8_t;
 107 80#else
 108 81//·ISO·C·standard·compilers
 109 82#include·<stdbool.h>
 110 83#include·<stdint.h>
 111 84#endif
 112 85
 113 86//---------------------------------------------------------------------------
 114 --
 115 87//·Rounding
 116 88//---------------------------------------------------------------------------
 117 --
109 89118 89
110 _\x89_\x80static·uint32_t·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8U_\x8N_\x8K_\x8N_\x8O_\x8W_\x8N_\x8__\x8S_\x8E_\x8E_\x8D·=·0; 
111 91119 91
112 93 
113 _\x81_\x80_\x80bool·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8i_\x8n_\x8i_\x8t(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state,·const 
114 _\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·type,·const·uint32_t·seed); 
115 101 
116 103 
117 _\x81_.0_.8void·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.f_.r_.e_.e(_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t·*·prng_state);120 _\x89_.4double·_.b_.r_.a_.h_.e_.__.r_.o_.u_.n_.d_.__.n_.e_.a_.r_.e_.s_.t(const·double·x);
 121 95
 122 97
 123 _\x81_\x80_\x84double·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8s_\x8i_\x8g_\x8d_\x8i_\x8g(const·double·x,·const·uint16_t·n);
 124 105
 125 106//--------------------------------------------------------------------------
 126 ---
 127 107//·Lowest·Common·Multple·(LCM)·and·Lowest·Common·Denominator·(GCD)
 128 108//--------------------------------------------------------------------------
 129 ---
118 109130 109
119 111131 111
 132 _\x81_\x81_\x87uint64_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8l_\x8c_\x8m(const·uint64_t·x,·const·uint64_t·y);
 133 118
 134 120
 135 _\x81_\x82_\x86uint64_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8g_\x8c_\x8f(uint64_t·x,·uint64_t·y);
120 _\x81_\x81_\x86uint32_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8n_\x8e_\x8x_\x8t(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state); 
121 117 
122 119 
123 _\x81_\x82_\x86uint32_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8r_\x8a_\x8n_\x8g_\x8e(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state,·const·uint32_t 
124 lo,·const·uint32_t·hi); 
125 127136 127
126 129 
127 _\x81_\x83_\x85size_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8i_\x8n_\x8d_\x8e_\x8x(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state,·const·size_t 
128 length); 
129 136 
130 138 
131 _\x81_\x84_\x85double·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8r_\x8e_\x8a_\x8l_\x81(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state); 
132 146 
133 148 
134 _.1_.5_.5double·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.r_.e_.a_.l_.2(_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t·*·prng_state);137 128//--------------------------------------------------------------------------
 138 ---
 139 129//·Logarithms
 140 130//--------------------------------------------------------------------------
 141 ---
 142 131
 143 133
 144 _\x81_\x84_\x80double·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8l_\x8o_\x8g_\x82_\x8b_\x8a_\x8s_\x8e(const·double·x,·const·double·base);
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19 ··<ul>19 ··<ul>
20 <li·class="navelem"><a·class="el"·href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li>··</ul>20 <li·class="navelem"><a·class="el"·href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li>··</ul>
21 </div>21 </div>
22 </div><!--·top·-->22 </div><!--·top·-->
23 <div·class="header">23 <div·class="header">
24 ··<div·class="summary">24 ··<div·class="summary">
25 <a·href="#nested-classes">Data·Structures</a>·&#124;25 <a·href="#nested-classes">Data·Structures</a>·&#124;
26 <a·href="#define-members">Macros</a>·&#124; 
27 <a·href="#typedef-members">Typedefs</a>·&#124; 
28 <a·href="#enum-members">Enumerations</a>·&#124;26 <a·href="#enum-members">Enumerations</a>·&#124;
29 <a·href="#func-members">Functions</a>··</div>27 <a·href="#func-members">Functions</a>·&#124;
 28 <a·href="#var-members">Variables</a>··</div>
30 ··<div·class="headertitle"><div·class="title">mathtools.h·File·Reference</div></div>29 ··<div·class="headertitle"><div·class="title">prng.h·File·Reference</div></div>
31 </div><!--header-->30 </div><!--header-->
32 <div·class="contents">31 <div·class="contents">
 32 <div·class="textblock"><code>#include·&quot;<a·class="el"·href="a00002_source.html">mathtools.h</a>&quot;</code><br·/>
33 <div·class="textblock"><code>#include·&lt;stddef.h&gt;</code><br·/> 
34 <code>#include·&lt;math.h&gt;</code><br·/> 
35 <code>#include·&lt;limits.h&gt;</code><br·/> 
36 <code>#include·&lt;float.h&gt;</code><br·/> 
37 <code>#include·&lt;stdbool.h&gt;</code><br·/> 
38 <code>#include·&lt;stdint.h&gt;</code><br·/> 
39 </div>33 </div>
40 <p><a·href="a00005_source.html">Go·to·the·source·code·of·this·file.</a></p>34 <p><a·href="a00005_source.html">Go·to·the·source·code·of·this·file.</a></p>
41 <table·class="memberdecls">35 <table·class="memberdecls">
42 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>36 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>
43 Data·Structures</h2></td></tr>37 Data·Structures</h2></td></tr>
44 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00011.html">brahe_statistics_t</a></td></tr>38 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00019.html">brahe_prng_state_t</a></td></tr>
45 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Structure·containing·statistical·values·calculate·from·a·double·array.··<a·href="a00011.html#details">More...</a><br·/></td></tr>39 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Contains·state·variables·for·a·PRNG.··<a·href="a00019.html#details">More...</a><br·/></td></tr>
46 <tr·class="separator:"><td·class="memSeparator"·colspan="2">&#160;</td></tr>40 <tr·class="separator:"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
47 <tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00015.html">brahe_wave_factor_t</a></td></tr> 
48 <tr·class="memdesc:"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Sine·wave·definition.··<a·href="a00015.html#details">More...</a><br·/></td></tr> 
49 <tr·class="separator:"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
50 </table><table·class="memberdecls"> 
51 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="define-members"·name="define-members"></a> 
52 Macros</h2></td></tr> 
53 <tr·class="memitem:a560947c90102e2d8c8bddfcdc8d9aebf"·id="r_a560947c90102e2d8c8bddfcdc8d9aebf"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a560947c90102e2d8c8bddfcdc8d9aebf">BRAHE_E</a>&#160;&#160;&#160;2.71828182845904523536028747135</td></tr> 
54 <tr·class="memdesc:a560947c90102e2d8c8bddfcdc8d9aebf"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">e·(natural·logarithm·base··<br·/></td></tr> 
55 <tr·class="separator:a560947c90102e2d8c8bddfcdc8d9aebf"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
56 <tr·class="memitem:a2acb48c25034f68df587e0f0aa629b8c"·id="r_a2acb48c25034f68df587e0f0aa629b8c"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a2acb48c25034f68df587e0f0aa629b8c">BRAHE_LOG2_E</a>&#160;&#160;&#160;1.44269504088896340735992468100</td></tr> 
57 <tr·class="memdesc:a2acb48c25034f68df587e0f0aa629b8c"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">log_2·(e)··<br·/></td></tr> 
58 <tr·class="separator:a2acb48c25034f68df587e0f0aa629b8c"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
59 <tr·class="memitem:af8a4b9878f8d4190d85a47fed511d1ae"·id="r_af8a4b9878f8d4190d85a47fed511d1ae"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#af8a4b9878f8d4190d85a47fed511d1ae">BRAHE_LOG10_E</a>&#160;&#160;&#160;0.43429448190325182765112891892</td></tr> 
60 <tr·class="memdesc:af8a4b9878f8d4190d85a47fed511d1ae"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">log_10·(e)··<br·/></td></tr> 
61 <tr·class="separator:af8a4b9878f8d4190d85a47fed511d1ae"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
62 <tr·class="memitem:a0f30c1a745dc06e0b8c3611c03b7d4e5"·id="r_a0f30c1a745dc06e0b8c3611c03b7d4e5"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a0f30c1a745dc06e0b8c3611c03b7d4e5">BRAHE_SQRT_2</a>&#160;&#160;&#160;1.41421356237309504880168872421</td></tr> 
63 <tr·class="memdesc:a0f30c1a745dc06e0b8c3611c03b7d4e5"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">sqrt(2)··<br·/></td></tr> 
64 <tr·class="separator:a0f30c1a745dc06e0b8c3611c03b7d4e5"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
65 <tr·class="memitem:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"·id="r_a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a0ab8e9aa2a0e7f80b40b8b6bd9b79659">BRAHE_SQRT_HALF</a>&#160;&#160;&#160;0.70710678118654752440084436210</td></tr> 
66 <tr·class="memdesc:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">sqrt(1/2)··<br·/></td></tr> 
67 <tr·class="separator:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
68 <tr·class="memitem:ad4551041fd2bbaa15958e2c48507ef3e"·id="r_ad4551041fd2bbaa15958e2c48507ef3e"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#ad4551041fd2bbaa15958e2c48507ef3e">BRAHE_SQRT_3</a>&#160;&#160;&#160;1.73205080756887729352744634151</td></tr> 
69 <tr·class="memdesc:ad4551041fd2bbaa15958e2c48507ef3e"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">sqrt(3)··<br·/></td></tr> 
70 <tr·class="separator:ad4551041fd2bbaa15958e2c48507ef3e"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
71 <tr·class="memitem:a4e1fedcefdcf7671b203721214900b78"·id="r_a4e1fedcefdcf7671b203721214900b78"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a4e1fedcefdcf7671b203721214900b78">BRAHE_PI</a>&#160;&#160;&#160;3.14159265358979323846264338328</td></tr> 
72 <tr·class="memdesc:a4e1fedcefdcf7671b203721214900b78"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi·(180·deg)··<br·/></td></tr> 
73 <tr·class="separator:a4e1fedcefdcf7671b203721214900b78"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
74 <tr·class="memitem:a4fff0d018f3605f8d29a817c49c98482"·id="r_a4fff0d018f3605f8d29a817c49c98482"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a4fff0d018f3605f8d29a817c49c98482">BRAHE_TAU</a>&#160;&#160;&#160;6.28318530717958647692528676656</td></tr> 
75 <tr·class="memdesc:a4fff0d018f3605f8d29a817c49c98482"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">tau·(2·*·pi)··<br·/></td></tr> 
76 <tr·class="separator:a4fff0d018f3605f8d29a817c49c98482"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
77 <tr·class="memitem:ae07b001cefb9e3a6cf8bf371c56119c4"·id="r_ae07b001cefb9e3a6cf8bf371c56119c4"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#ae07b001cefb9e3a6cf8bf371c56119c4">BRAHE_PI_DIV_2</a>&#160;&#160;&#160;1.57079632679489661923132169164</td></tr> 
78 <tr·class="memdesc:ae07b001cefb9e3a6cf8bf371c56119c4"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi/2·(90·deg)··<br·/></td></tr> 
79 <tr·class="separator:ae07b001cefb9e3a6cf8bf371c56119c4"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
80 <tr·class="memitem:a8ad477fec1152a9e44d95dbae4c558cb"·id="r_a8ad477fec1152a9e44d95dbae4c558cb"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a8ad477fec1152a9e44d95dbae4c558cb">BRAHE_PI_DIV_3</a>&#160;&#160;&#160;1.04719755119659774615421446109</td></tr> 
81 <tr·class="memdesc:a8ad477fec1152a9e44d95dbae4c558cb"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi/3·(60·deg)··<br·/></td></tr> 
82 <tr·class="separator:a8ad477fec1152a9e44d95dbae4c558cb"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
83 <tr·class="memitem:a4b1d771c20ae91ca703f563ff615d6d3"·id="r_a4b1d771c20ae91ca703f563ff615d6d3"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a4b1d771c20ae91ca703f563ff615d6d3">BRAHE_PI_DIV_4</a>&#160;&#160;&#160;0.78539816339744830961566084582</td></tr> 
84 <tr·class="memdesc:a4b1d771c20ae91ca703f563ff615d6d3"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi/4·(45·deg)··<br·/></td></tr> 
85 <tr·class="separator:a4b1d771c20ae91ca703f563ff615d6d3"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
86 <tr·class="memitem:a996f916dc16cf561c6f8a444829b8de4"·id="r_a996f916dc16cf561c6f8a444829b8de4"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a996f916dc16cf561c6f8a444829b8de4">BRAHE_PI_DIV_6</a>&#160;&#160;&#160;0.52359877559829887307710723055</td></tr> 
87 <tr·class="memdesc:a996f916dc16cf561c6f8a444829b8de4"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi/6·(30·deg)··<br·/></td></tr> 
88 <tr·class="separator:a996f916dc16cf561c6f8a444829b8de4"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
89 <tr·class="memitem:a1723fc41b28843e6d1aa15028c16a211"·id="r_a1723fc41b28843e6d1aa15028c16a211"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a1723fc41b28843e6d1aa15028c16a211">BRAHE_PI_DIV_9</a>&#160;&#160;&#160;0.34906585039886591538473815370</td></tr> 
90 <tr·class="memdesc:a1723fc41b28843e6d1aa15028c16a211"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi/9·(20·deg)··<br·/></td></tr> 
91 <tr·class="separator:a1723fc41b28843e6d1aa15028c16a211"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
92 <tr·class="memitem:a54177483776db52a388c3e652a8b5982"·id="r_a54177483776db52a388c3e652a8b5982"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a54177483776db52a388c3e652a8b5982">BRAHE_PI_DIV_12</a>&#160;&#160;&#160;0.26179938779914943653855361527</td></tr> 
93 <tr·class="memdesc:a54177483776db52a388c3e652a8b5982"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi·/·12·(15·deg)··<br·/></td></tr> 
94 <tr·class="separator:a54177483776db52a388c3e652a8b5982"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
95 <tr·class="memitem:a6bc29aa9fac151ab7971cd15a638b67f"·id="r_a6bc29aa9fac151ab7971cd15a638b67f"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a6bc29aa9fac151ab7971cd15a638b67f">BRAHE_PI_DIV_18</a>&#160;&#160;&#160;0.17453292519943295769236907685</td></tr> 
96 <tr·class="memdesc:a6bc29aa9fac151ab7971cd15a638b67f"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi·/·18·(10·deg)··<br·/></td></tr> 
97 <tr·class="separator:a6bc29aa9fac151ab7971cd15a638b67f"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
98 <tr·class="memitem:a4535b7b7be92cbad9d6425693c11643e"·id="r_a4535b7b7be92cbad9d6425693c11643e"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a4535b7b7be92cbad9d6425693c11643e">BRAHE_PI_DIV_36</a>&#160;&#160;&#160;0.08726646259971647884618453842</td></tr> 
99 <tr·class="memdesc:a4535b7b7be92cbad9d6425693c11643e"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">pi·/·36·(5·deg)··<br·/></td></tr> 
100 <tr·class="separator:a4535b7b7be92cbad9d6425693c11643e"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
101 <tr·class="memitem:aac172b8f64859f9bf54464a3a6bc3d7c"·id="r_aac172b8f64859f9bf54464a3a6bc3d7c"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#aac172b8f64859f9bf54464a3a6bc3d7c">BRAHE_DEG_PER_RAD</a>&#160;&#160;&#160;57.2957795130823208767981548141</td></tr> 
102 <tr·class="memdesc:aac172b8f64859f9bf54464a3a6bc3d7c"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">degrees·per·radian··<br·/></td></tr> 
103 <tr·class="separator:aac172b8f64859f9bf54464a3a6bc3d7c"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
104 <tr·class="memitem:a81b271b7f56a5ddd3b9fe307778d0821"·id="r_a81b271b7f56a5ddd3b9fe307778d0821"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a81b271b7f56a5ddd3b9fe307778d0821">BRAHE_RAD_PER_DEG</a>&#160;&#160;&#160;0.01745329251994329576923690768</td></tr> 
105 <tr·class="memdesc:a81b271b7f56a5ddd3b9fe307778d0821"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">radians·per·degree··<br·/></td></tr> 
106 <tr·class="separator:a81b271b7f56a5ddd3b9fe307778d0821"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
107 <tr·class="memitem:a83b4f9fccb40a1f78bb88aacc8e84cab"·id="r_a83b4f9fccb40a1f78bb88aacc8e84cab"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a83b4f9fccb40a1f78bb88aacc8e84cab">BRAHE_SQRT_PI</a>&#160;&#160;&#160;1.77245385090551602729816748334</td></tr> 
108 <tr·class="memdesc:a83b4f9fccb40a1f78bb88aacc8e84cab"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">sqrt(pi)··<br·/></td></tr> 
109 <tr·class="separator:a83b4f9fccb40a1f78bb88aacc8e84cab"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
110 <tr·class="memitem:abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"·id="r_abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc">BRAHE_TWO_DIV_SQRT_PI</a>&#160;&#160;&#160;1.12837916709551257389615890312</td></tr> 
111 <tr·class="memdesc:abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">2/sqrt(pi)··<br·/></td></tr> 
112 <tr·class="separator:abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
113 <tr·class="memitem:abf7d7206f6f89332832ea82f3955e1c9"·id="r_abf7d7206f6f89332832ea82f3955e1c9"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#abf7d7206f6f89332832ea82f3955e1c9">BRAHE_ONE_DIV_PI</a>&#160;&#160;&#160;0.31830988618379067153776752675</td></tr> 
114 <tr·class="memdesc:abf7d7206f6f89332832ea82f3955e1c9"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">1/pi··<br·/></td></tr> 
115 <tr·class="separator:abf7d7206f6f89332832ea82f3955e1c9"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
116 <tr·class="memitem:ab6f9592c1e49a672372f56cdd1a617d5"·id="r_ab6f9592c1e49a672372f56cdd1a617d5"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#ab6f9592c1e49a672372f56cdd1a617d5">BRAHE_TWO_DIV_PI</a>&#160;&#160;&#160;0.63661977236758134307553505349</td></tr> 
117 <tr·class="memdesc:ab6f9592c1e49a672372f56cdd1a617d5"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">2/pi··<br·/></td></tr> 
118 <tr·class="separator:ab6f9592c1e49a672372f56cdd1a617d5"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
119 <tr·class="memitem:ab80971083813a13b7f886efb0016f27a"·id="r_ab80971083813a13b7f886efb0016f27a"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#ab80971083813a13b7f886efb0016f27a">BRAHE_LN_10</a>&#160;&#160;&#160;2.30258509299404568401799145468</td></tr> 
120 <tr·class="memdesc:ab80971083813a13b7f886efb0016f27a"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">ln(10)··<br·/></td></tr> 
121 <tr·class="separator:ab80971083813a13b7f886efb0016f27a"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
122 <tr·class="memitem:a16ad8b699fa21a939786c8c512cff228"·id="r_a16ad8b699fa21a939786c8c512cff228"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a16ad8b699fa21a939786c8c512cff228">BRAHE_LN_2</a>&#160;&#160;&#160;0.69314718055994530941723212146</td></tr> 
123 <tr·class="memdesc:a16ad8b699fa21a939786c8c512cff228"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">ln(2)··<br·/></td></tr> 
124 <tr·class="separator:a16ad8b699fa21a939786c8c512cff228"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
125 <tr·class="memitem:a4a13004f988698d0e3edde4c35faa2ef"·id="r_a4a13004f988698d0e3edde4c35faa2ef"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a4a13004f988698d0e3edde4c35faa2ef">BRAHE_LOG_2</a>&#160;&#160;&#160;0.30102999566398119521373889472</td></tr> 
126 <tr·class="memdesc:a4a13004f988698d0e3edde4c35faa2ef"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">log(2)··<br·/></td></tr> 
127 <tr·class="separator:a4a13004f988698d0e3edde4c35faa2ef"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
128 <tr·class="memitem:ab9b68fff5200827cfc970b9e0f7c941a"·id="r_ab9b68fff5200827cfc970b9e0f7c941a"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#ab9b68fff5200827cfc970b9e0f7c941a">BRAHE_LN_PI</a>&#160;&#160;&#160;1.14472988584940017414342735135</td></tr> 
129 <tr·class="memdesc:ab9b68fff5200827cfc970b9e0f7c941a"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">ln(pi)··<br·/></td></tr> 
130 <tr·class="separator:ab9b68fff5200827cfc970b9e0f7c941a"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
131 <tr·class="memitem:a71b1569ecfc42e0895108e4f506813c4"·id="r_a71b1569ecfc42e0895108e4f506813c4"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a71b1569ecfc42e0895108e4f506813c4">BRAHE_EULER</a>&#160;&#160;&#160;0.57721566490153286060651209008</td></tr> 
132 <tr·class="memdesc:a71b1569ecfc42e0895108e4f506813c4"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Euler·constant.··<br·/></td></tr> 
133 <tr·class="separator:a71b1569ecfc42e0895108e4f506813c4"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
134 </table><table·class="memberdecls"> 
135 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="typedef-members"·name="typedef-members"></a> 
136 Typedefs</h2></td></tr> 
137 <tr·class="memitem:abf46a4ae1f8b36a45d7a874268b7002c"·id="r_abf46a4ae1f8b36a45d7a874268b7002c"><td·class="memItemLeft"·align="right"·valign="top">typedef·enum·<a·class="el"·href="a00005.html#a27c66fb5daf87a5e45d8e80c15683e32">brahe_pretty_format_t</a>&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#abf46a4ae1f8b36a45d7a874268b7002c">brahe_pretty_format</a></td></tr> 
138 <tr·class="memdesc:abf46a4ae1f8b36a45d7a874268b7002c"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Formats·for·pretty-printing·integers.··<br·/></td></tr> 
139 <tr·class="separator:abf46a4ae1f8b36a45d7a874268b7002c"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
140 <tr·class="memitem:a9093f7d9134e9185bbccb5c0cac7566e"·id="r_a9093f7d9134e9185bbccb5c0cac7566e"><td·class="memItemLeft"·align="right"·valign="top">typedef·struct·<a·class="el"·href="a00011.html">brahe_statistics_t</a>&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00005.html#a9093f7d9134e9185bbccb5c0cac7566e">brahe_statistics</a></td></tr> 
141 <tr·class="memdesc:a9093f7d9134e9185bbccb5c0cac7566e"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">Structure·containing·statistical·values·calculate·from·a·double·array.··<br·/></td></tr> 
142 <tr·class="separator:a9093f7d9134e9185bbccb5c0cac7566e"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
143 </table><table·class="memberdecls">41 </table><table·class="memberdecls">
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1 ·····*\x8**\x8**\x8**\x8**\x8**\x8*·B\x8Br\x8ra\x8ah\x8he\x8e·-\x8-·a\x8a·h\x8he\x8et\x8te\x8er\x8ro\x8og\x8ge\x8en\x8no\x8ou\x8us\x8s·c\x8co\x8ol\x8ll\x8le\x8ec\x8ct\x8ti\x8io\x8on\x8n·o\x8of\x8f·m\x8ma\x8at\x8th\x8he\x8em\x8ma\x8at\x8ti\x8ic\x8ca\x8al\x8l·t\x8to\x8oo\x8ol\x8ls\x8s·*\x8**\x8**\x8**\x8**\x8**\x8*1 ·····*\x8**\x8**\x8**\x8**\x8**\x8*·B\x8Br\x8ra\x8ah\x8he\x8e·-\x8-·a\x8a·h\x8he\x8et\x8te\x8er\x8ro\x8og\x8ge\x8en\x8no\x8ou\x8us\x8s·c\x8co\x8ol\x8ll\x8le\x8ec\x8ct\x8ti\x8io\x8on\x8n·o\x8of\x8f·m\x8ma\x8at\x8th\x8he\x8em\x8ma\x8at\x8ti\x8ic\x8ca\x8al\x8l·t\x8to\x8oo\x8ol\x8ls\x8s·*\x8**\x8**\x8**\x8**\x8**\x8*
2 ·······························*\x8**\x8**\x8**\x8**\x8*·_\x8M\x8M_\x8a\x8a_\x8i\x8i_\x8n\x8n_\x8·_\x8I\x8I_\x8n\x8n_\x8d\x8d_\x8e\x8e_\x8x\x8x2 ·······························*\x8**\x8**\x8**\x8**\x8*·_\x8M\x8M_\x8a\x8a_\x8i\x8i_\x8n\x8n_\x8·_\x8I\x8I_\x8n\x8n_\x8d\x8d_\x8e\x8e_\x8x\x8x
3 ································_\x8H\x8H_\x8o\x8o_\x8m\x8m_\x8e\x8e_\x8·_\x8P\x8P_\x8a\x8a_\x8g\x8g_\x8e\x8e·*\x8**\x8**\x8**\x8**\x8*3 ································_\x8H\x8H_\x8o\x8o_\x8m\x8m_\x8e\x8e_\x8·_\x8P\x8P_\x8a\x8a_\x8g\x8g_\x8e\x8e·*\x8**\x8**\x8**\x8**\x8*
4 ·························Created·by·_\x8S_\x8c_\x8o_\x8t_\x8t_\x8·_\x8R_\x8o_\x8b_\x8e_\x8r_\x8t_\x8·_\x8L_\x8a_\x8d_\x8d4 ·························Created·by·_\x8S_\x8c_\x8o_\x8t_\x8t_\x8·_\x8R_\x8o_\x8b_\x8e_\x8r_\x8t_\x8·_\x8L_\x8a_\x8d_\x8d
5 ===============================================================================5 ===============================================================================
6 ····*·_\x8s_\x8r_\x8c6 ····*·_\x8s_\x8r_\x8c
 7 _\x8D_\x8a_\x8t_\x8a_\x8·_\x8S_\x8t_\x8r_\x8u_\x8c_\x8t_\x8u_\x8r_\x8e_\x8s·|·_\x8E_\x8n_\x8u_\x8m_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n_\x8s·|·_\x8F_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n_\x8s·|·_\x8V_\x8a_\x8r_\x8i_\x8a_\x8b_\x8l_\x8e_\x8s
 8 prng.h·File·Reference
 9 #include·"_\x8m_\x8a_\x8t_\x8h_\x8t_\x8o_\x8o_\x8l_\x8s_\x8._\x8h"
7 _\x8D_\x8a_\x8t_\x8a_\x8·_\x8S_\x8t_\x8r_\x8u_\x8c_\x8t_\x8u_\x8r_\x8e_\x8s·|·_\x8M_\x8a_\x8c_\x8r_\x8o_\x8s·|·_\x8T_\x8y_\x8p_\x8e_\x8d_\x8e_\x8f_\x8s·|·_\x8E_\x8n_\x8u_\x8m_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n_\x8s·|·_\x8F_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n_\x8s 
8 mathtools.h·File·Reference 
9 #include·<stddef.h> 
10 #include·<math.h> 
11 #include·<limits.h> 
12 #include·<float.h> 
13 #include·<stdbool.h> 
14 #include·<stdint.h> 
15 _\x8G_\x8o_\x8·_\x8t_\x8o_\x8·_\x8t_\x8h_\x8e_\x8·_\x8s_\x8o_\x8u_\x8r_\x8c_\x8e_\x8·_\x8c_\x8o_\x8d_\x8e_\x8·_\x8o_\x8f_\x8·_\x8t_\x8h_\x8i_\x8s_\x8·_\x8f_\x8i_\x8l_\x8e_\x8.10 _\x8G_\x8o_\x8·_\x8t_\x8o_\x8·_\x8t_\x8h_\x8e_\x8·_\x8s_\x8o_\x8u_\x8r_\x8c_\x8e_\x8·_\x8c_\x8o_\x8d_\x8e_\x8·_\x8o_\x8f_\x8·_\x8t_\x8h_\x8i_\x8s_\x8·_\x8f_\x8i_\x8l_\x8e_\x8.
16 D\x8Da\x8at\x8ta\x8a·S\x8St\x8tr\x8ru\x8uc\x8ct\x8tu\x8ur\x8re\x8es\x8s11 D\x8Da\x8at\x8ta\x8a·S\x8St\x8tr\x8ru\x8uc\x8ct\x8tu\x8ur\x8re\x8es\x8s
 12 struct· ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t
 13  ········Contains·state·variables·for·a·PRNG.·_\x8M_\x8o_\x8r_\x8e_\x8._\x8._\x8.
17 struct· ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8s_\x8t_\x8a_\x8t_\x8i_\x8s_\x8t_\x8i_\x8c_\x8s_\x8__\x8t 
18  ········Structure·containing·statistical·values·calculate·from·a·double·array. 
19 ·········_\x8M_\x8o_\x8r_\x8e_\x8._\x8._\x8. 
20  14  
 15 E\x8En\x8nu\x8um\x8me\x8er\x8ra\x8at\x8ti\x8io\x8on\x8ns\x8s
 16 enum· ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·{
 17 ·······  _\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8A_\x8R_\x8S_\x8E_\x8N_\x8N_\x8E_\x8__\x8T_\x8W_\x8I_\x8S_\x8T_\x8E_\x8R·=·0·,·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8K_\x8I_\x8S_\x8S·,
 18 ·······_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8C_\x8M_\x8W_\x8C_\x84_\x80_\x89_\x86·,·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8W_\x8C_\x81_\x80_\x83_\x88·,
 19 ·······  _\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8I_\x8S_\x8A_\x8A_\x8C
 20 ·······}
 21  ······Defines·types·of·prngs.·_\x8M_\x8o_\x8r_\x8e_\x8._\x8._\x8.
21 struct· ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8w_\x8a_\x8v_\x8e_\x8__\x8f_\x8a_\x8c_\x8t_\x8o_\x8r_\x8__\x8t 
22  ········Sine·wave·definition.·_\x8M_\x8o_\x8r_\x8e_\x8._\x8._\x8. 
23   
24 M\x8Ma\x8ac\x8cr\x8ro\x8os\x8s 
25 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8E   2.71828182845904523536028747135 
26  ········e·(natural·logarithm·base 
27   
28 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8O_\x8G_\x82_\x8__\x8E   1.44269504088896340735992468100 
29  ········log_2·(e) 
30   
31 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8O_\x8G_\x81_\x80_\x8__\x8E   0.43429448190325182765112891892 
32  ········log_10·(e) 
33   
34 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x82   1.41421356237309504880168872421 
35  ········sqrt(2) 
36   
37 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x8H_\x8A_\x8L_\x8F   0.70710678118654752440084436210 
38  ········sqrt(1/2) 
39   
40 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x83   1.73205080756887729352744634151 
41  ········sqrt(3) 
42   
43 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I   3.14159265358979323846264338328 
44  ········pi·(180·deg) 
45   
46 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8T_\x8A_\x8U   6.28318530717958647692528676656 
47  ········tau·(2·*·pi) 
48   
49 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x82   1.57079632679489661923132169164 
50  ········pi/2·(90·deg) 
51   
52 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x83   1.04719755119659774615421446109 
53  ········pi/3·(60·deg) 
54   
55 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x84   0.78539816339744830961566084582 
56  ········pi/4·(45·deg) 
57   
58 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x86   0.52359877559829887307710723055 
59  ········pi/6·(30·deg) 
60   
61 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x89   0.34906585039886591538473815370 
62  ········pi/9·(20·deg) 
63   
64 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x81_\x82   0.26179938779914943653855361527 
65  ········pi·/·12·(15·deg) 
66   
67 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x81_\x88   0.17453292519943295769236907685 
68  ········pi·/·18·(10·deg) 
69   
70 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8I_\x8__\x8D_\x8I_\x8V_\x8__\x83_\x86   0.08726646259971647884618453842 
71  ········pi·/·36·(5·deg) 
72   
73 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8D_\x8E_\x8G_\x8__\x8P_\x8E_\x8R_\x8__\x8R_\x8A_\x8D   57.2957795130823208767981548141 
74  ········degrees·per·radian 
75   
76 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8R_\x8A_\x8D_\x8__\x8P_\x8E_\x8R_\x8__\x8D_\x8E_\x8G   0.01745329251994329576923690768 
77  ········radians·per·degree 
78   
79 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x8P_\x8I   1.77245385090551602729816748334 
80  ········sqrt(pi) 
81   
82 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8T_\x8W_\x8O_\x8__\x8D_\x8I_\x8V_\x8__\x8S_\x8Q_\x8R_\x8T_\x8__\x8P_\x8I   1.12837916709551257389615890312 
83  ········2/sqrt(pi) 
84   
85 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8O_\x8N_\x8E_\x8__\x8D_\x8I_\x8V_\x8__\x8P_\x8I   0.31830988618379067153776752675 
86  ········1/pi 
87   
88 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8T_\x8W_\x8O_\x8__\x8D_\x8I_\x8V_\x8__\x8P_\x8I   0.63661977236758134307553505349 
89  ········2/pi 
90   
91 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8N_\x8__\x81_\x80   2.30258509299404568401799145468 
92  ········ln(10) 
93  22  
94 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8N_\x8__\x82   0.69314718055994530941723212146 
95  ········ln(2)23 F.Fu.un.nc.ct.ti.io.on.ns.s
 24 ····bool ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8i_\x8n_\x8i_\x8t·(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*prng_state,·const
 25 ··········_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·type,·const·uint32_t·seed)
 26  ·········Initialize·a·psuedo-random·number·generator·(PRNG)
96  27  
97 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8O_\x8G_\x8__\x82   0.30102999566398119521373889472 
98  ········log(2)28 ····void ·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.f_.r_.e_.e·(_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t·*prng_state)
 29  ·········Free·resources·used·by·PRNG.
99  30  
100 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8L_\x8N_\x8__\x8P_\x8I   1.14472988584940017414342735135 
101  ········ln(pi)31 uint32_t ·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.n_.e_.x_.t·(_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t·*prng_state)
 32  ·········Get·the·next·integer.
102  33  
103 #define ·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8E_\x8U_\x8L_\x8E_\x8R   0.57721566490153286060651209008 
104  ········Euler·constant.34 uint32_t ·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.r_.a_.n_.g_.e·(_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t·*prng_state,·const·uint32_t·lo,
 35 ··········const·uint32_t·hi)
 36  ·········Get·the·next·integer·in·the·range·[lo,hi].
105  37  
106 T\x8Ty\x8yp\x8pe\x8ed\x8de\x8ef\x8fs\x8s 
107 typedef·enum·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8e_\x8t_\x8t_\x8y_\x8__\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8__\x8t ·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8e_\x8t_\x8t_\x8y_\x8__\x8f_\x8o_\x8r_\x8m_\x8a_\x8t 
108  ···································Formats·for·pretty-printing·integers.38 ··size_t ·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.i_.n_.d_.e_.x·(_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t·*prng_state,·const·size_t
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17 <!--·Generated·by·Doxygen·1.9.8·-->17 <!--·Generated·by·Doxygen·1.9.8·-->
18 <div·id="nav-path"·class="navpath">18 <div·id="nav-path"·class="navpath">
19 ··<ul>19 ··<ul>
20 <li·class="navelem"><a·class="el"·href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li>··</ul>20 <li·class="navelem"><a·class="el"·href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li>··</ul>
21 </div>21 </div>
22 </div><!--·top·-->22 </div><!--·top·-->
23 <div·class="header">23 <div·class="header">
24 ··<div·class="headertitle"><div·class="title">mathtools.h</div></div>24 ··<div·class="headertitle"><div·class="title">prng.h</div></div>
25 </div><!--header-->25 </div><!--header-->
26 <div·class="contents">26 <div·class="contents">
27 <a·href="a00005.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">/*</span></div>27 <a·href="a00005.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">/*</span></div>
28 <div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">····Brahe·is·a·heterogenous·collection·of·mathematical·tools,··written·in·Standard·C.</span></div>28 <div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">····Brahe·is·a·heterogenous·collection·of·mathematical·tools,··written·in·Standard·C.</span></div>
29 <div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment"></span>·</div>29 <div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment"></span>·</div>
30 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">····Copyright·2011·Scott·Robert·Ladd.·All·rights·reserved.</span></div>30 <div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">····Copyright·2011·Scott·Robert·Ladd.·All·rights·reserved.</span></div>
31 <div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="comment"></span>·</div>31 <div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="comment"></span>·</div>
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72 <div·class="line"><a·id="l00046"·name="l00046"></a><span·class="lineno">···46</span><span·class="comment">····The·author·can·be·contacted·at:</span></div>72 <div·class="line"><a·id="l00046"·name="l00046"></a><span·class="lineno">···46</span><span·class="comment">····The·author·can·be·contacted·at:</span></div>
73 <div·class="line"><a·id="l00047"·name="l00047"></a><span·class="lineno">···47</span><span·class="comment"></span>·</div>73 <div·class="line"><a·id="l00047"·name="l00047"></a><span·class="lineno">···47</span><span·class="comment"></span>·</div>
74 <div·class="line"><a·id="l00048"·name="l00048"></a><span·class="lineno">···48</span><span·class="comment">··········scott.ladd@coyotegulch.com</span></div>74 <div·class="line"><a·id="l00048"·name="l00048"></a><span·class="lineno">···48</span><span·class="comment">··········scott.ladd@coyotegulch.com</span></div>
75 <div·class="line"><a·id="l00049"·name="l00049"></a><span·class="lineno">···49</span><span·class="comment">··········scott.ladd@gmail.com</span></div>75 <div·class="line"><a·id="l00049"·name="l00049"></a><span·class="lineno">···49</span><span·class="comment">··········scott.ladd@gmail.com</span></div>
76 <div·class="line"><a·id="l00050"·name="l00050"></a><span·class="lineno">···50</span><span·class="comment">··········http:www.coyotegulch.com</span></div>76 <div·class="line"><a·id="l00050"·name="l00050"></a><span·class="lineno">···50</span><span·class="comment">··········http:www.coyotegulch.com</span></div>
77 <div·class="line"><a·id="l00051"·name="l00051"></a><span·class="lineno">···51</span><span·class="comment">*/</span></div>77 <div·class="line"><a·id="l00051"·name="l00051"></a><span·class="lineno">···51</span><span·class="comment">*/</span></div>
78 <div·class="line"><a·id="l00052"·name="l00052"></a><span·class="lineno">···52</span>·</div>78 <div·class="line"><a·id="l00052"·name="l00052"></a><span·class="lineno">···52</span>·</div>
79 <div·class="line"><a·id="l00053"·name="l00053"></a><span·class="lineno">···53</span><span·class="preprocessor">#if·!defined(LIBBRAHE_MATHTOOLS_H)</span></div>79 <div·class="line"><a·id="l00053"·name="l00053"></a><span·class="lineno">···53</span><span·class="preprocessor">#if·!defined(LIBBRAHE_PRNG_H)</span></div>
80 <div·class="line"><a·id="l00054"·name="l00054"></a><span·class="lineno">···54</span><span·class="preprocessor">#define·LIBBRAHE_MATHTOOLS_H</span></div>80 <div·class="line"><a·id="l00054"·name="l00054"></a><span·class="lineno">···54</span><span·class="preprocessor">#define·LIBBRAHE_PRNG_H</span></div>
81 <div·class="line"><a·id="l00055"·name="l00055"></a><span·class="lineno">···55</span>·</div>81 <div·class="line"><a·id="l00055"·name="l00055"></a><span·class="lineno">···55</span>·</div>
82 <div·class="line"><a·id="l00056"·name="l00056"></a><span·class="lineno">···56</span><span·class="preprocessor">#include·&lt;stddef.h&gt;</span></div>82 <div·class="line"><a·id="l00056"·name="l00056"></a><span·class="lineno">···56</span><span·class="preprocessor">#include·&quot;<a·class="code"·href="a00002.html">mathtools.h</a>&quot;</span></div>
83 <div·class="line"><a·id="l00057"·name="l00057"></a><span·class="lineno">···57</span><span·class="preprocessor">#include·&lt;math.h&gt;</span></div> 
84 <div·class="line"><a·id="l00058"·name="l00058"></a><span·class="lineno">···58</span><span·class="preprocessor">#include·&lt;limits.h&gt;</span></div> 
85 <div·class="line"><a·id="l00059"·name="l00059"></a><span·class="lineno">···59</span><span·class="preprocessor">#include·&lt;float.h&gt;</span></div> 
86 <div·class="line"><a·id="l00060"·name="l00060"></a><span·class="lineno">···60</span>·</div>83 <div·class="line"><a·id="l00057"·name="l00057"></a><span·class="lineno">···57</span>·</div>
87 <div·class="line"><a·id="l00061"·name="l00061"></a><span·class="lineno">···61</span><span·class="preprocessor">#if·defined(__cplusplus)</span></div>84 <div·class="line"><a·id="l00058"·name="l00058"></a><span·class="lineno">···58</span><span·class="preprocessor">#if·defined(__cplusplus)</span></div>
88 <div·class="line"><a·id="l00062"·name="l00062"></a><span·class="lineno">···62</span><span·class="keyword">extern</span>·<span·class="stringliteral">&quot;C&quot;</span>·{</div>85 <div·class="line"><a·id="l00059"·name="l00059"></a><span·class="lineno">···59</span><span·class="keyword">extern</span>·<span·class="stringliteral">&quot;C&quot;</span>·{</div>
89 <div·class="line"><a·id="l00063"·name="l00063"></a><span·class="lineno">···63</span><span·class="preprocessor">#endif</span></div>86 <div·class="line"><a·id="l00060"·name="l00060"></a><span·class="lineno">···60</span><span·class="preprocessor">#endif</span></div>
 87 <div·class="line"><a·id="l00061"·name="l00061"></a><span·class="lineno">···61</span>·</div>
 88 <div·class="foldopen"·id="foldopen00063"·data-start="{"·data-end="};">
 89 <div·class="line"><a·id="l00063"·name="l00063"></a><span·class="lineno"><a·class="line"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720e">···63</a></span><span·class="keyword">typedef</span>·<span·class="keyword">enum</span></div>
90 <div·class="line"><a·id="l00064"·name="l00064"></a><span·class="lineno">···64</span>·</div>90 <div·class="line"><a·id="l00064"·name="l00064"></a><span·class="lineno">···64</span>{</div>
 91 <div·class="line"><a·id="l00066"·name="l00066"></a><span·class="lineno"><a·class="line"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eacbbe4b8e3a60f457f9339986ec220449">···66</a></span>····<a·class="code·hl_enumvalue"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eacbbe4b8e3a60f457f9339986ec220449">BRAHE_PRNG_MARSENNE_TWISTER</a>·=·0,</div>
 92 <div·class="line"><a·id="l00068"·name="l00068"></a><span·class="lineno"><a·class="line"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eafcc7277e0bbac3b961935b09cbad59cc">···68</a></span>····<a·class="code·hl_enumvalue"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eafcc7277e0bbac3b961935b09cbad59cc">BRAHE_PRNG_KISS</a>,</div>
 93 <div·class="line"><a·id="l00070"·name="l00070"></a><span·class="lineno"><a·class="line"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eaf55681bb0cfb8407c77edf2ec6b0a9aa">···70</a></span>····<a·class="code·hl_enumvalue"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eaf55681bb0cfb8407c77edf2ec6b0a9aa">BRAHE_PRNG_CMWC4096</a>,</div>
 94 <div·class="line"><a·id="l00072"·name="l00072"></a><span·class="lineno"><a·class="line"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eacf1801e2b0961c33846a2c60ac4664a8">···72</a></span>····<a·class="code·hl_enumvalue"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720eacf1801e2b0961c33846a2c60ac4664a8">BRAHE_PRNG_MWC1038</a>,</div>
 95 <div·class="line"><a·id="l00074"·name="l00074"></a><span·class="lineno">···74</span>····<a·class="code·hl_enumvalue"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720ea359f2920c704eef068c741e35819a3c2">BRAHE_PRNG_ISAAC</a></div>
 96 <div·class="line"><a·id="l00075"·name="l00075"></a><span·class="lineno"><a·class="line"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720ea359f2920c704eef068c741e35819a3c2">···75</a></span>}·<a·class="code·hl_enumeration"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720e">brahe_prng_type_t</a>;</div>
 97 </div>
91 <div·class="line"><a·id="l00065"·name="l00065"></a><span·class="lineno">···65</span><span·class="preprocessor">#if·defined(_MSC_VER)</span></div> 
92 <div·class="line"><a·id="l00066"·name="l00066"></a><span·class="lineno">···66</span><span·class="preprocessor">#pragma·warning·(disable:·4244·4267·4996)</span></div> 
93 <div·class="line"><a·id="l00067"·name="l00067"></a><span·class="lineno">···67</span><span·class="preprocessor">#if·!defined(__cplusplus)</span></div> 
94 <div·class="line"><a·id="l00068"·name="l00068"></a><span·class="lineno">···68</span><span·class="keyword">typedef</span>·<span·class="keywordtype">char</span>·bool;</div> 
95 <div·class="line"><a·id="l00069"·name="l00069"></a><span·class="lineno">···69</span><span·class="keyword">static</span>·<span·class="keyword">const</span>·<span·class="keywordtype">int</span>·<span·class="keyword">true</span>··=·1;</div> 
96 <div·class="line"><a·id="l00070"·name="l00070"></a><span·class="lineno">···70</span><span·class="keyword">static</span>·<span·class="keyword">const</span>·<span·class="keywordtype">int</span>·<span·class="keyword">false</span>·=·0;</div> 
97 <div·class="line"><a·id="l00071"·name="l00071"></a><span·class="lineno">···71</span><span·class="preprocessor">#endif</span></div> 
98 <div·class="line"><a·id="l00072"·name="l00072"></a><span·class="lineno">···72</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int64·uint64_t;</div> 
99 <div·class="line"><a·id="l00073"·name="l00073"></a><span·class="lineno">···73</span><span·class="keyword">typedef</span>·__int64··········int64_t;</div> 
100 <div·class="line"><a·id="l00074"·name="l00074"></a><span·class="lineno">···74</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int32·uint32_t;</div> 
101 <div·class="line"><a·id="l00075"·name="l00075"></a><span·class="lineno">···75</span><span·class="keyword">typedef</span>·__int32··········int32_t;</div> 
102 <div·class="line"><a·id="l00076"·name="l00076"></a><span·class="lineno">···76</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int16·uint16_t;</div> 
103 <div·class="line"><a·id="l00077"·name="l00077"></a><span·class="lineno">···77</span><span·class="keyword">typedef</span>·__int16··········int16_t;</div> 
104 <div·class="line"><a·id="l00078"·name="l00078"></a><span·class="lineno">···78</span><span·class="keyword">typedef</span>·<span·class="keywordtype">unsigned</span>·__int8··uint8_t;</div> 
105 <div·class="line"><a·id="l00079"·name="l00079"></a><span·class="lineno">···79</span><span·class="keyword">typedef</span>·__int8···········int8_t;</div> 
106 <div·class="line"><a·id="l00080"·name="l00080"></a><span·class="lineno">···80</span><span·class="preprocessor">#else</span></div> 
107 <div·class="line"><a·id="l00081"·name="l00081"></a><span·class="lineno">···81</span><span·class="comment">//·ISO·C·standard·compilers</span></div> 
108 <div·class="line"><a·id="l00082"·name="l00082"></a><span·class="lineno">···82</span><span·class="preprocessor">#include·&lt;stdbool.h&gt;</span></div> 
109 <div·class="line"><a·id="l00083"·name="l00083"></a><span·class="lineno">···83</span><span·class="preprocessor">#include·&lt;stdint.h&gt;</span></div> 
110 <div·class="line"><a·id="l00084"·name="l00084"></a><span·class="lineno">···84</span><span·class="preprocessor">#endif</span></div> 
111 <div·class="line"><a·id="l00085"·name="l00085"></a><span·class="lineno">···85</span>·</div>98 <div·class="line"><a·id="l00076"·name="l00076"></a><span·class="lineno">···76</span>·</div>
112 <div·class="line"><a·id="l00086"·name="l00086"></a><span·class="lineno">···86</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>99 <div·class="foldopen"·id="foldopen00078"·data-start="{"·data-end="};">
 100 <div·class="line"><a·id="l00078"·name="l00078"></a><span·class="lineno"><a·class="line"·href="a00019.html">···78</a></span><span·class="keyword">typedef</span>·<span·class="keyword">struct</span></div>
113 <div·class="line"><a·id="l00087"·name="l00087"></a><span·class="lineno">···87</span><span·class="comment">//·Rounding</span></div>101 <div·class="line"><a·id="l00079"·name="l00079"></a><span·class="lineno">···79</span>{</div>
114 <div·class="line"><a·id="l00088"·name="l00088"></a><span·class="lineno">···88</span><span·class="comment">//-----------------------------------------------------------------------------</span></div>102 <div·class="line"><a·id="l00080"·name="l00080"></a><span·class="lineno"><a·class="line"·href="a00019.html#a9f2078ad17c0f7419615612095e5a2f9">···80</a></span>····<a·class="code·hl_enumeration"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720e">brahe_prng_type_t</a>·<a·class="code·hl_v[·...·truncated·by·diffoscope;·len:·129,·SHA:·1a1092daf3fbec85452c5f5a2bb623f1e3d6f8eb35b861945e16027f8b590c6e·...·]</span></div>
 103 <div·class="line"><a·id="l00081"·name="l00081"></a><span·class="lineno"><a·class="line"·href="a00019.html#af5206b6244c8753440ff20f1f76a175a">···81</a></span>····uint32_t··········<a·class="code·hl_variable"·href="a00019.html#af5206b6244c8753440ff20f1f76a175a">m_seed</a>;··<span·class="comment">//·&quot;seed&quot;·that·defines·the·sequence</span></div>
 104 <div·class="line"><a·id="l00082"·name="l00082"></a><span·class="lineno"><a·class="line"·href="a00019.html#a42f53928d2187b3308dcf4da6b255bf9">···82</a></span>····<span·class="keywordtype">void</span>·*············<a·class="code·hl_variable"·href="a00019.html#a42f53928d2187b3308dcf4da6b255bf9">m_data1</a>;·<span·class="comment">//·array·or·table</span></div>
 105 <div·class="line"><a·id="l00083"·name="l00083"></a><span·class="lineno"><a·class="line"·href="a00019.html#a042df53593bba46d7efd6f5d8e28ed4e">···83</a></span>····<span·class="keywordtype">void</span>·*············<a·class="code·hl_variable"·href="a00019.html#a042df53593bba46d7efd6f5d8e28ed4e">m_data2</a>;·<span·class="comment">//·additional·array·or·table</span></div>
 106 <div·class="line"><a·id="l00084"·name="l00084"></a><span·class="lineno"><a·class="line"·href="a00019.html#a625009951fe87f86983c807c6135b4fe">···84</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a625009951fe87f86983c807c6135b4fe">m_i</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div>
 107 <div·class="line"><a·id="l00085"·name="l00085"></a><span·class="lineno"><a·class="line"·href="a00019.html#a688c60fa7da6b47bd0695116bae468c7">···85</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a688c60fa7da6b47bd0695116bae468c7">m_a</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div>
 108 <div·class="line"><a·id="l00086"·name="l00086"></a><span·class="lineno"><a·class="line"·href="a00019.html#a0c7c6a9c9667bc1348a9691b60f4e0a5">···86</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a0c7c6a9c9667bc1348a9691b60f4e0a5">m_b</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div>
 109 <div·class="line"><a·id="l00087"·name="l00087"></a><span·class="lineno"><a·class="line"·href="a00019.html#a7507d91304c213585aaa07f8f0e43046">···87</a></span>····<span·class="keywordtype">size_t</span>············<a·class="code·hl_variable"·href="a00019.html#a7507d91304c213585aaa07f8f0e43046">m_c</a>;·····<span·class="comment">//·only·used·by·some·algorithms</span></div>
 110 <div·class="line"><a·id="l00088"·name="l00088"></a><span·class="lineno">···88</span>}·<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>;</div>
 111 </div>
115 <div·class="line"><a·id="l00089"·name="l00089"></a><span·class="lineno">···89</span>·</div>112 <div·class="line"><a·id="l00089"·name="l00089"></a><span·class="lineno">···89</span>·</div>
 113 <div·class="line"><a·id="l00090"·name="l00090"></a><span·class="lineno"><a·class="line"·href="a00005.html#a23e603aa011a19244ead42ab38dca8fd">···90</a></span><span·class="keyword">static</span>·uint32_t·<a·class="code·hl_variable"·href="a00005.html#a23e603aa011a19244ead42ab38dca8fd">BRAHE_UNKNOWN_SEED</a>·=·0;</div>
116 <div·class="line"><a·id="l00091"·name="l00091"></a><span·class="lineno">···91</span>·</div>114 <div·class="line"><a·id="l00091"·name="l00091"></a><span·class="lineno">···91</span>·</div>
117 <div·class="line"><a·id="l00094"·name="l00094"></a><span·class="lineno"><a·class="line"·href="a00005.html#a12a41b5db8722b0e2b834839d5ccdccb">···94</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00005.html#a12a41b5db8722b0e2b834839d5ccdccb">brahe_round_nearest</a>(<span·class="keyword">const</span>·<span·class="keywordtype">double</span>·x);</div> 
118 <div·class="line"><a·id="l00095"·name="l00095"></a><span·class="lineno">···95</span>·</div>115 <div·class="line"><a·id="l00093"·name="l00093"></a><span·class="lineno">···93</span>·</div>
 116 <div·class="line"><a·id="l00100"·name="l00100"></a><span·class="lineno"><a·class="line"·href="a00005.html#a38e903833e609b58084492cb9fd9aca7">··100</a></span><span·class="keywordtype">bool</span>·<a·class="code·hl_function"·href="a00005.html#a38e903833e609b58084492cb9fd9aca7">brahe_prng_init</a>(<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>·*·prng_state,·<span·class="keyword">const</span>·<a·class="code·hl_enumeration"·href="a00005.html#ab4582ba9e011d83ad4a1e89253ca720e">brahe_prng_type_t</a>·type,·<span·class="keyword">const</span>·uint32_t·seed);</div>
119 <div·class="line"><a·id="l00097"·name="l00097"></a><span·class="lineno">···97</span>·</div> 
120 <div·class="line"><a·id="l00104"·name="l00104"></a><span·class="lineno"><a·class="line"·href="a00005.html#a717b79e8bf4bbd4048bf86996dd7cb85">··104</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00005.html#a717b79e8bf4bbd4048bf86996dd7cb85">brahe_sigdig</a>(<span·class="keyword">const</span>·<span·class="keywordtype">double</span>·x,·<span·class="keyword">const</span>·uint16_t·n);</div> 
121 <div·class="line"><a·id="l00105"·name="l00105"></a><span·class="lineno">··105</span>·</div>117 <div·class="line"><a·id="l00101"·name="l00101"></a><span·class="lineno">··101</span>·</div>
 118 <div·class="line"><a·id="l00103"·name="l00103"></a><span·class="lineno">··103</span>·</div>
 119 <div·class="line"><a·id="l00108"·name="l00108"></a><span·class="lineno"><a·class="line"·href="a00005.html#a446dd0183094e83631777c2ea89855b3">··108</a></span><span·class="keywordtype">void</span>·<a·class="code·hl_function"·href="a00005.html#a446dd0183094e83631777c2ea89855b3">brahe_prng_free</a>(<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>·*·prng_state);</div>
122 <div·class="line"><a·id="l00106"·name="l00106"></a><span·class="lineno">··106</span><span·class="comment">//-----------------------------------------------------------------------------</span></div> 
123 <div·class="line"><a·id="l00107"·name="l00107"></a><span·class="lineno">··107</span><span·class="comment">//·Lowest·Common·Multple·(LCM)·and·Lowest·Common·Denominator·(GCD)</span></div> 
124 <div·class="line"><a·id="l00108"·name="l00108"></a><span·class="lineno">··108</span><span·class="comment">//-----------------------------------------------------------------------------</span></div> 
125 <div·class="line"><a·id="l00109"·name="l00109"></a><span·class="lineno">··109</span>·</div>120 <div·class="line"><a·id="l00109"·name="l00109"></a><span·class="lineno">··109</span>·</div>
126 <div·class="line"><a·id="l00111"·name="l00111"></a><span·class="lineno">··111</span>·</div>121 <div·class="line"><a·id="l00111"·name="l00111"></a><span·class="lineno">··111</span>·</div>
127 <div·class="line"><a·id="l00117"·name="l00117"></a><span·class="lineno"><a·class="line"·href="a00005.html#a683332a0c88ab75687f8c335d15fd08c">··117</a></span>uint64_t·<a·class="code·hl_function"·href="a00005.html#a683332a0c88ab75687f8c335d15fd08c">brahe_lcm</a>(<span·class="keyword">con[·...·truncated·by·diffoscope;·len:·67,·SHA:·c79aae3c70b5485a1ba31c1bcfd26d069c9771d80126fb143b8d23c59b4b9c4e·...·]);</div>122 <div·class="line"><a·id="l00116"·name="l00116"></a><span·class="lineno"><a·class="line"·href="a00005.html#ac593be050799621ea1c90efa6ddfe11a">··116</a></span>uint32_t·<a·class="code·hl_function"·href="a00005.html#ac593be050799621ea1c90efa6ddfe11a">brahe_prng_next</a>(<a·class="code·hl_s[·...·truncated·by·diffoscope;·len:·61,·SHA:·c8d220af5fefd745a1fbacf480065924f9f0c7ded9a95e38a2883518ad7bf20c·...·]);</div>
128 <div·class="line"><a·id="l00118"·name="l00118"></a><span·class="lineno">··118</span>·</div>123 <div·class="line"><a·id="l00117"·name="l00117"></a><span·class="lineno">··117</span>·</div>
129 <div·class="line"><a·id="l00120"·name="l00120"></a><span·class="lineno">··120</span>·</div>124 <div·class="line"><a·id="l00119"·name="l00119"></a><span·class="lineno">··119</span>·</div>
130 <div·class="line"><a·id="l00126"·name="l00126"></a><span·class="lineno"><a·class="line"·href="a00005.html#add171e9317dd7e7f44d16d864f0c457c">··126</a></span>uint64_t·<a·class="code·hl_function"·href="a00005.html#add171e9317dd7e7f44d16d864f0c457c">brahe_gcf</a>(uint64_t·x,·uint64_t·y);</div>125 <div·class="line"><a·id="l00126"·name="l00126"></a><span·class="lineno"><a·class="line"·href="a00005.html#a2f2e385d51ac163baeee5bd1f72062c5">··126</a></span>uint32_t·<a·class="code·hl_function"·href="a00005.html#a2f2e385d51ac163baeee5bd1f72062c5">brahe_prng_range</a>(<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>·*·prng_state,·<span·class="[·...·truncated·by·diffoscope;·len:·81,·SHA:·aeb935d9389748c9f584b0f29f89d874ad07cad268ac7466a1f2bf185bc9e4cc·...·]);</div>
131 <div·class="line"><a·id="l00127"·name="l00127"></a><span·class="lineno">··127</span>·</div>126 <div·class="line"><a·id="l00127"·name="l00127"></a><span·class="lineno">··127</span>·</div>
132 <div·class="line"><a·id="l00128"·name="l00128"></a><span·class="lineno">··128</span><span·class="comment">//-----------------------------------------------------------------------------</span></div> 
133 <div·class="line"><a·id="l00129"·name="l00129"></a><span·class="lineno">··129</span><span·class="comment">//·Logarithms</span></div> 
134 <div·class="line"><a·id="l00130"·name="l00130"></a><span·class="lineno">··130</span><span·class="comment">//-----------------------------------------------------------------------------</span></div> 
135 <div·class="line"><a·id="l00131"·name="l00131"></a><span·class="lineno">··131</span>·</div> 
136 <div·class="line"><a·id="l00133"·name="l00133"></a><span·class="lineno">··133</span>·</div> 
137 <div·class="line"><a·id="l00140"·name="l00140"></a><span·class="lineno"><a·class="line"·href="a00005.html#a0dcca39378c18fd880f2a4a1c6498b7e">··140</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00005.html#a0dcca39378c18fd880f2a4a1c6498b7e">brahe_log2base</a>(<span·class="keyword">const</span>·<span·class="keywordtype">double</span>·x,·<span·class="keyword">const</span>·<span·class="keywordtype">double</span>·base);</div> 
138 <div·class="line"><a·id="l00141"·name="l00141"></a><span·class="lineno">··141</span>·</div> 
139 <div·class="line"><a·id="l00143"·name="l00143"></a><span·class="lineno">··143</span>·</div> 
140 <div·class="line"><a·id="l00148"·name="l00148"></a><span·class="lineno"><a·class="line"·href="a00005.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">··148</a></span><span·class="keywordtype">int</span>·<a·class="code·hl_function"·href="a00005.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">brahe_sizepow2</a>(<span·class="keyword">const</span>·<span·class="keywordtype">int</span>·n);</div> 
141 <div·class="line"><a·id="l00149"·name="l00149"></a><span·class="lineno">··149</span>·</div>127 <div·class="line"><a·id="l00129"·name="l00129"></a><span·class="lineno">··129</span>·</div>
 128 <div·class="line"><a·id="l00135"·name="l00135"></a><span·class="lineno"><a·class="line"·href="a00005.html#a026536c634b622ba52342c94634e6f5b">··135</a></span><span·class="keywordtype">size_t</span>·<a·class="code·hl_function"·href="a00005.html#a026536c634b622ba52342c94634e6f5b">brahe_prng_index</a>(<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>·*·prng_state,·<span·class="keyword">const</span>·<span·class="keywordtype">size_t</span>·length);</div>
142 <div·class="line"><a·id="l00150"·name="l00150"></a><span·class="lineno">··150</span><span·class="comment">//-----------------------------------------------------------------------------</span></div> 
143 <div·class="line"><a·id="l00151"·name="l00151"></a><span·class="lineno">··151</span><span·class="comment">//·Statistical·functions</span></div> 
144 <div·class="line"><a·id="l00152"·name="l00152"></a><span·class="lineno">··152</span><span·class="comment">//-----------------------------------------------------------------------------</span></div> 
145 <div·class="line"><a·id="l00153"·name="l00153"></a><span·class="lineno">··153</span>·</div>129 <div·class="line"><a·id="l00136"·name="l00136"></a><span·class="lineno">··136</span>·</div>
146 <div·class="foldopen"·id="foldopen00155"·data-start="{"·data-end="};"> 
147 <div·class="line"><a·id="l00155"·name="l00155"></a><span·class="lineno"><a·class="line"·href="a00005.html#a27c66fb5daf87a5e45d8e80c15683e32">··155</a></span><span·class="keyword">typedef</span>·<span·class="keyword">enum</span>·<a·class="code·hl_enumeration"·href="a00005.html#a27c66fb[·...·truncated·by·diffoscope;·len:·52,·SHA:·fbb6d8ffc6e57914d6ff0712a0d0625235a8da56688acf647ced1ded5b9a3c20·...·]</div>130 <div·class="line"><a·id="l00138"·name="l00138"></a><span·class="lineno">··138</span>·</div>
 131 <div·class="line"><a·id="l00145"·name="l00145"></a><span·class="lineno"><a·class="line"·href="a00005.html#a7260ea48236078622849dca9acecac25">··145</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00005.html#a7260ea48236078622849dca9acecac25">brahe_prng_real1</a>(<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>·*·prng_state);</div>
 132 <div·class="line"><a·id="l00146"·name="l00146"></a><span·class="lineno">··146</span>·</div>
 133 <div·class="line"><a·id="l00148"·name="l00148"></a><span·class="lineno">··148</span>·</div>
 134 <div·class="line"><a·id="l00155"·name="l00155"></a><span·class="lineno"><a·class="line"·href="a00005.html#a2b13c79f6dfe01ac78793bc8af947935">··155</a></span><span·class="keywordtype">double</span>·<a·class="code·hl_function"·href="a00005.html#a2b13c79f6dfe01ac78793bc8af947935">brahe_prng_real2</a>(<a·class="code·hl_struct"·href="a00019.html">brahe_prng_state_t</a>·*·prng_state);</div>
148 <div·class="line"><a·id="l00156"·name="l00156"></a><span·class="lineno">··156</span>{</div>135 <div·class="line"><a·id="l00156"·name="l00156"></a><span·class="lineno">··156</span>·</div>
149 <div·class="line"><a·id="l00158"·name="l00158"></a><span·class="lineno"><a·class="line"·href="a00005.html#a27c66fb5daf87a5e45d8e80c15683e32a7cf956fda0334adb6a2cab5867471131">··158</a></span>····<a·class="code·hl_enumvalue"·href="a00005.html#a27c66fb5daf87a5e45d8e80c15683e32a7cf956fda0334adb6a2cab5867471131">BRAHE_PRETTY_TEXT</a>,</div> 
150 <div·class="line"><a·id="l00160"·name="l00160"></a><span·class="lineno">··160</span>····<a·class="code·hl_enumvalue"·href="a00005.html#a27c66fb5daf87a5e45d8e80c15683e32a0a91a8358d264801da6b2fbc3b923a9b">BRAHE_PRETTY_COMMA</a></div> 
151 <div·class="line"><a·id="l00161"·name="l00161"></a><span·class="lineno"><a·class="line"·href="a00005.html#a27c66fb5daf87a5e45d8e80c15683e32a0a91a8358d264801da6b2fbc3b923a9b">··161</a></span>}</div> 
152 </div> 
153 <div·class="line"><a·id="l00162"·name="l00162"></a><span·class="lineno"><a·class="line"·href="a00005.html#abf46a4ae1f8b36a45d7a874268b7002c">··162</a></span><a·class="code·hl_typedef"·href="a00005.html#abf46a4ae1f8b36a45d7a874268b7002c">brahe_pretty_format</a>;</div> 
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2 ·······························*\x8**\x8**\x8**\x8**\x8*·_\x8M\x8M_\x8a\x8a_\x8i\x8i_\x8n\x8n_\x8·_\x8I\x8I_\x8n\x8n_\x8d\x8d_\x8e\x8e_\x8x\x8x2 ·······························*\x8**\x8**\x8**\x8**\x8*·_\x8M\x8M_\x8a\x8a_\x8i\x8i_\x8n\x8n_\x8·_\x8I\x8I_\x8n\x8n_\x8d\x8d_\x8e\x8e_\x8x\x8x
3 ································_\x8H\x8H_\x8o\x8o_\x8m\x8m_\x8e\x8e_\x8·_\x8P\x8P_\x8a\x8a_\x8g\x8g_\x8e\x8e·*\x8**\x8**\x8**\x8**\x8*3 ································_\x8H\x8H_\x8o\x8o_\x8m\x8m_\x8e\x8e_\x8·_\x8P\x8P_\x8a\x8a_\x8g\x8g_\x8e\x8e·*\x8**\x8**\x8**\x8**\x8*
4 ·························Created·by·_\x8S_\x8c_\x8o_\x8t_\x8t_\x8·_\x8R_\x8o_\x8b_\x8e_\x8r_\x8t_\x8·_\x8L_\x8a_\x8d_\x8d4 ·························Created·by·_\x8S_\x8c_\x8o_\x8t_\x8t_\x8·_\x8R_\x8o_\x8b_\x8e_\x8r_\x8t_\x8·_\x8L_\x8a_\x8d_\x8d
5 ===============================================================================5 ===============================================================================
6 ····*·_\x8s_\x8r_\x8c6 ····*·_\x8s_\x8r_\x8c
7 mathtools.h7 prng.h
8 _\x8G_\x8o_\x8·_\x8t_\x8o_\x8·_\x8t_\x8h_\x8e_\x8·_\x8d_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8o_\x8f_\x8·_\x8t_\x8h_\x8i_\x8s_\x8·_\x8f_\x8i_\x8l_\x8e_\x8.8 _\x8G_\x8o_\x8·_\x8t_\x8o_\x8·_\x8t_\x8h_\x8e_\x8·_\x8d_\x8o_\x8c_\x8u_\x8m_\x8e_\x8n_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8o_\x8f_\x8·_\x8t_\x8h_\x8i_\x8s_\x8·_\x8f_\x8i_\x8l_\x8e_\x8.
9 1/*9 1/*
10 2·Brahe·is·a·heterogenous·collection·of·mathematical·tools,·written·in·Standard10 2·Brahe·is·a·heterogenous·collection·of·mathematical·tools,·written·in·Standard
11 C.11 C.
12 312 3
13 4·Copyright·2011·Scott·Robert·Ladd.·All·rights·reserved.13 4·Copyright·2011·Scott·Robert·Ladd.·All·rights·reserved.
14 514 5
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73 46·The·author·can·be·contacted·at:73 46·The·author·can·be·contacted·at:
74 4774 47
75 48·scott.ladd@coyotegulch.com75 48·scott.ladd@coyotegulch.com
76 49·scott.ladd@gmail.com76 49·scott.ladd@gmail.com
77 50·http:www.coyotegulch.com77 50·http:www.coyotegulch.com
78 51*/78 51*/
79 5279 52
80 53#if·!defined(LIBBRAHE_MATHTOOLS_H)80 53#if·!defined(LIBBRAHE_PRNG_H)
81 54#define·LIBBRAHE_MATHTOOLS_H81 54#define·LIBBRAHE_PRNG_H
82 5582 55
 83 56#include·"_\x8m_\x8a_\x8t_\x8h_\x8t_\x8o_\x8o_\x8l_\x8s_\x8._\x8h"
 84 57
83 56#include·<stddef.h> 
84 57#include·<math.h> 
85 58#include·<limits.h> 
86 59#include·<float.h> 
87 60 
88 61#if·defined(__cplusplus)85 58#if·defined(__cplusplus)
89 62extern·"C"·{86 59extern·"C"·{
90 63#endif87 60#endif
 88 61
 89 _\x86_\x83typedef·enum
91 6490 64{
 91 _\x86_\x86·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8A_\x8R_\x8S_\x8E_\x8N_\x8N_\x8E_\x8__\x8T_\x8W_\x8I_\x8S_\x8T_\x8E_\x8R·=·0,
 92 _\x86_\x88·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8K_\x8I_\x8S_\x8S,
 93 _\x87_\x80·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8C_\x8M_\x8W_\x8C_\x84_\x80_\x89_\x86,
 94 _\x87_\x82·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8M_\x8W_\x8C_\x81_\x80_\x83_\x88,
 95 74·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8P_\x8R_\x8N_\x8G_\x8__\x8I_\x8S_\x8A_\x8A_\x8C
 96 _\x87_\x85}·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t;
 97 76
 98 _\x87_\x88typedef·struct
 99 79{
 100 _\x88_\x80·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·_\x8m_\x8__\x8t_\x8y_\x8p_\x8e;·//·the·algorithm·we're·using
 101 _\x88_\x81·uint32_t·_\x8m_\x8__\x8s_\x8e_\x8e_\x8d;·//·"seed"·that·defines·the·sequence
 102 _\x88_\x82·void·*·_\x8m_\x8__\x8d_\x8a_\x8t_\x8a_\x81;·//·array·or·table
 103 _\x88_\x83·void·*·_\x8m_\x8__\x8d_\x8a_\x8t_\x8a_\x82;·//·additional·array·or·table
 104 _\x88_\x84·size_t·_\x8m_\x8__\x8i;·//·only·used·by·some·algorithms
 105 _\x88_\x85·size_t·_\x8m_\x8__\x8a;·//·only·used·by·some·algorithms
 106 _\x88_\x86·size_t·_\x8m_\x8__\x8b;·//·only·used·by·some·algorithms
 107 _\x88_\x87·size_t·_\x8m_\x8__\x8c;·//·only·used·by·some·algorithms
 108 88}·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t;
92 65#if·defined(_MSC_VER) 
93 66#pragma·warning·(disable:·4244·4267·4996) 
94 67#if·!defined(__cplusplus) 
95 68typedef·char·bool; 
96 69static·const·int·true·=·1; 
97 70static·const·int·false·=·0; 
98 71#endif 
99 72typedef·unsigned·__int64·uint64_t; 
100 73typedef·__int64·int64_t; 
101 74typedef·unsigned·__int32·uint32_t; 
102 75typedef·__int32·int32_t; 
103 76typedef·unsigned·__int16·uint16_t; 
104 77typedef·__int16·int16_t; 
105 78typedef·unsigned·__int8·uint8_t; 
106 79typedef·__int8·int8_t; 
107 80#else 
108 81//·ISO·C·standard·compilers 
109 82#include·<stdbool.h> 
110 83#include·<stdint.h> 
111 84#endif 
112 85 
113 86//--------------------------------------------------------------------------- 
114 -- 
115 87//·Rounding 
116 88//--------------------------------------------------------------------------- 
117 -- 
118 89109 89
 110 _\x89_\x80static·uint32_t·_\x8B_\x8R_\x8A_\x8H_\x8E_\x8__\x8U_\x8N_\x8K_\x8N_\x8O_\x8W_\x8N_\x8__\x8S_\x8E_\x8E_\x8D·=·0;
119 91111 91
 112 93
 113 _\x81_\x80_\x80bool·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8i_\x8n_\x8i_\x8t(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state,·const
 114 _\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8t_\x8y_\x8p_\x8e_\x8__\x8t·type,·const·uint32_t·seed);
 115 101
 116 103
 117 _\x81_\x80_\x88void·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8f_\x8r_\x8e_\x8e(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state);
120 _\x89_\x84double·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8r_\x8o_\x8u_\x8n_\x8d_\x8__\x8n_\x8e_\x8a_\x8r_\x8e_\x8s_\x8t(const·double·x); 
121 95 
122 97 
123 _\x81_\x80_\x84double·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8s_\x8i_\x8g_\x8d_\x8i_\x8g(const·double·x,·const·uint16_t·n); 
124 105 
125 106//-------------------------------------------------------------------------- 
126 --- 
127 107//·Lowest·Common·Multple·(LCM)·and·Lowest·Common·Denominator·(GCD) 
128 108//-------------------------------------------------------------------------- 
129 --- 
130 109118 109
131 111119 111
132 _\x81_\x81_\x87uint64_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8l_\x8c_\x8m(const·uint64_t·x,·const·uint64_t·y); 
133 118 
134 120 
135 _\x81_\x82_.6uint64_t·_.b_.r_.a_.h_.e_.__.g_.c_.f(uint64_t·x,·uint64_t·y);120 _\x81_\x81_.6uint32_t·_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.n_.e_.x_.t(_.b_.r_.a_.h_.e_.__.p_.r_.n_.g_.__.s_.t_.a_.t_.e_.__.t·*·prng_state);
 121 117
 122 119
 123 _\x81_\x82_\x86uint32_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8r_\x8a_\x8n_\x8g_\x8e(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state,·const·uint32_t
 124 lo,·const·uint32_t·hi);
136 127125 127
 126 129
 127 _\x81_\x83_\x85size_t·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8i_\x8n_\x8d_\x8e_\x8x(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state,·const·size_t
 128 length);
 129 136
 130 138
 131 _\x81_\x84_\x85double·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8r_\x8e_\x8a_\x8l_\x81(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state);
 132 146
 133 148
 134 _\x81_\x85_\x85double·_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8r_\x8e_\x8a_\x8l_\x82(_\x8b_\x8r_\x8a_\x8h_\x8e_\x8__\x8p_\x8r_\x8n_\x8g_\x8__\x8s_\x8t_\x8a_\x8t_\x8e_\x8__\x8t·*·prng_state);
137 128//-------------------------------------------------------------------------- 
138 --- 
139 129//·Logarithms 
140 130//-------------------------------------------------------------------------- 
141 --- 
142 131 
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23 </div><!--header-->23 </div><!--header-->
24 <div·class="contents">24 <div·class="contents">
  
25 <p>Structure·containing·statistical·values·calculate·from·a·double·array.··25 <p>Structure·containing·statistical·values·calculate·from·a·double·array.··
26 </p>26 </p>
  
27 <p><code>#include·&lt;<a·class="el"·href="a00005_source.html">mathtools.h</a>&gt;</code></p>27 <p><code>#include·&lt;<a·class="el"·href="a00002_source.html">mathtools.h</a>&gt;</code></p>
28 <table·class="memberdecls">28 <table·class="memberdecls">
29 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-attribs"·name="pub-attribs"></a>29 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pub-attribs"·name="pub-attribs"></a>
30 Data·Fields</h2></td></tr>30 Data·Fields</h2></td></tr>
31 <tr·class="memitem:a09d7045a2ead21b98613db8eb40f23a2"·id="r_a09d7045a2ead21b98613db8eb40f23a2"><td·class="memItemLeft"·align="right"·valign="top">double&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00011.html#a09d7045a2ead21b98613db8eb40f23a2">min</a></td></tr>31 <tr·class="memitem:a09d7045a2ead21b98613db8eb40f23a2"·id="r_a09d7045a2ead21b98613db8eb40f23a2"><td·class="memItemLeft"·align="right"·valign="top">double&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00011.html#a09d7045a2ead21b98613db8eb40f23a2">min</a></td></tr>
32 <tr·class="memdesc:a09d7045a2ead21b98613db8eb40f23a2"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">minimum·value·from·array··<br·/></td></tr>32 <tr·class="memdesc:a09d7045a2ead21b98613db8eb40f23a2"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">minimum·value·from·array··<br·/></td></tr>
33 <tr·class="separator:a09d7045a2ead21b98613db8eb40f23a2"><td·class="memSeparator"·colspan="2">&#160;</td></tr>33 <tr·class="separator:a09d7045a2ead21b98613db8eb40f23a2"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
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117 </div>117 </div>
118 </div>118 </div>
119 <hr/>The·documentation·for·this·struct·was·generated·from·the·following·file:<ul>119 <hr/>The·documentation·for·this·struct·was·generated·from·the·following·file:<ul>
120 <li><a·class="el"·href="a00005_source.html">mathtools.h</a></li>120 <li><a·class="el"·href="a00002_source.html">mathtools.h</a></li>
121 </ul>121 </ul>
122 </div><!--·contents·-->122 </div><!--·contents·-->
123 <hr>123 <hr>
124 <p·align="center"><small>124 <p·align="center"><small>
125 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>125 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
126 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.126 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
127 </small>127 </small>
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22 ··<div·class="headertitle"><div·class="title">brahe_wave_factor_t·Struct·Reference</div></div>22 ··<div·class="headertitle"><div·class="title">brahe_wave_factor_t·Struct·Reference</div></div>
23 </div><!--header-->23 </div><!--header-->
24 <div·class="contents">24 <div·class="contents">
  
25 <p>Sine·wave·definition.··25 <p>Sine·wave·definition.··
26 ·<a·href="a00015.html#details">More...</a></p>26 ·<a·href="a00015.html#details">More...</a></p>
  
27 <p><code>#include·&lt;<a·class="el"·href="a00005_source.html">mathtools.h</a>&gt;</code></p>27 <p><code>#include·&lt;<a·class="el"·href="a00002_source.html">mathtools.h</a>&gt;</code></p>
28 <table·class="memberdecls">28 <table·class="memberdecls">
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30 Data·Fields</h2></td></tr>30 Data·Fields</h2></td></tr>
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32 <tr·class="memdesc:ae3c9f5c19225c342946acc76fc5d163e"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">wavelength··<br·/></td></tr>32 <tr·class="memdesc:ae3c9f5c19225c342946acc76fc5d163e"><td·class="mdescLeft">&#160;</td><td·class="mdescRight">wavelength··<br·/></td></tr>
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67 </div><div·class="memdoc">67 </div><div·class="memdoc">
  
68 </div>68 </div>
69 </div>69 </div>
70 <hr/>The·documentation·for·this·struct·was·generated·from·the·following·file:<ul>70 <hr/>The·documentation·for·this·struct·was·generated·from·the·following·file:<ul>
71 <li><a·class="el"·href="a00005_source.html">mathtools.h</a></li>71 <li><a·class="el"·href="a00002_source.html">mathtools.h</a></li>
72 </ul>72 </ul>
73 </div><!--·contents·-->73 </div><!--·contents·-->
74 <hr>74 <hr>
75 <p·align="center"><small>75 <p·align="center"><small>
76 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>76 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
77 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.77 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
78 </small>78 </small>
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23 </div><!--header-->23 </div><!--header-->
24 <div·class="contents">24 <div·class="contents">
  
25 <p>Contains·state·variables·for·a·PRNG.··25 <p>Contains·state·variables·for·a·PRNG.··
26 </p>26 </p>
  
27 <p><code>#include·&lt;<a·class="el"·href="a00002_source.html">prng.h</a>&gt;</code></p>27 <p><code>#include·&lt;<a·class="el"·href="a00005_source.html">prng.h</a>&gt;</code></p>
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30 Data·Fields</h2></td></tr>30 Data·Fields</h2></td></tr>
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76 <li>brahe_sizepow2()&#160;:&#160;<a·class="el"·href="a00005.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">mathtools.h</a></li>76 <li>brahe_sizepow2()&#160;:&#160;<a·class="el"·href="a00002.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">mathtools.h</a></li>
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82 <li>BRAHE_TAU&#160;:&#160;<a·class="el"·href="a00005.html#a4fff0d018f3605f8d29a817c49c98482">mathtools.h</a></li>82 <li>BRAHE_TAU&#160;:&#160;<a·class="el"·href="a00002.html#a4fff0d018f3605f8d29a817c49c98482">mathtools.h</a></li>
83 <li>BRAHE_TWO_DIV_PI&#160;:&#160;<a·class="el"·href="a00005.html#ab6f9592c1e49a672372f56cdd1a617d5">mathtools.h</a></li>83 <li>BRAHE_TWO_DIV_PI&#160;:&#160;<a·class="el"·href="a00002.html#ab6f9592c1e49a672372f56cdd1a617d5">mathtools.h</a></li>
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87 </div><!--·contents·-->87 </div><!--·contents·-->
88 <hr>88 <hr>
89 <p·align="center"><small>89 <p·align="center"><small>
90 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>90 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
91 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.91 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
92 </small>92 </small>
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14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>
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17 <!--·Generated·by·Doxygen·1.9.8·-->17 <!--·Generated·by·Doxygen·1.9.8·-->
18 </div><!--·top·-->18 </div><!--·top·-->
19 <div·class="contents">19 <div·class="contents">
20 <div·class="textblock">Here·is·a·list·of·all·macros·with·links·to·the·files·they·belong·to:</div><ul>20 <div·class="textblock">Here·is·a·list·of·all·macros·with·links·to·the·files·they·belong·to:</div><ul>
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50 <hr>50 <hr>
51 <p·align="center"><small>51 <p·align="center"><small>
52 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>52 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
53 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.53 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
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./usr/share/doc/libbrahe-dev/html/globals_enum.html
    
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14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>
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27 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>27 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
28 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.28 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
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./usr/share/doc/libbrahe-dev/html/globals_eval.html
    
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14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>
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32 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>32 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
33 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.33 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
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./usr/share/doc/libbrahe-dev/html/globals_func.html
    
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43 <li>brahe_simple_fft()&#160;:&#160;<a·class="el"·href="a00005.html#aac5cf568fd95e134ce83ac8a4b39e186">mathtools.h</a></li>43 <li>brahe_simple_fft()&#160;:&#160;<a·class="el"·href="a00002.html#aac5cf568fd95e134ce83ac8a4b39e186">mathtools.h</a></li>
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45 <li>brahe_sizepow2()&#160;:&#160;<a·class="el"·href="a00005.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">mathtools.h</a></li>45 <li>brahe_sizepow2()&#160;:&#160;<a·class="el"·href="a00002.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">mathtools.h</a></li>
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50 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>50 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
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./usr/share/doc/libbrahe-dev/html/globals_type.html
    
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14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>
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27 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>27 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
28 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.28 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
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./usr/share/doc/libbrahe-dev/html/globals_vars.html
    
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14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>14 Created·by·<a·href="mailto:scott.ladd@@coyotegulch.com">Scott·Robert·Ladd</a><br>
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26 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>26 &copy;·2011·Scott·Robert·Ladd.·All·rights·reserved.<br>
27 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.27 HTML·documentation·generated·by·Dimitri·van·Heesch's·excellent·<a·href="http://www.doxygen.org">Doxygen</a>·tool.
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