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1 /*
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2 ** $Id: lmathlib.c,v 1.67.1.1 2007/12/27 13:02:25 roberto Exp $
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3 ** Standard mathematical library
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4 ** See Copyright Notice in lua.h
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5 */
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6
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7
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8 #include <stdlib.h>
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9 #include <math.h>
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10
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11 #define lmathlib_c
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12 #define LUA_LIB
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13
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14 #include "lua.h"
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15
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16 #include "lauxlib.h"
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17 #include "lualib.h"
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18
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19
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20 #undef PI
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21 #define PI (3.14159265358979323846)
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22 #define RADIANS_PER_DEGREE (PI/180.0)
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23
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24
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25
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26 static int math_abs (lua_State *L) {
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27 lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
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28 return 1;
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29 }
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30
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31 static int math_sin (lua_State *L) {
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32 lua_pushnumber(L, sin(luaL_checknumber(L, 1)));
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33 return 1;
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34 }
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35
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36 static int math_sinh (lua_State *L) {
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37 lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
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38 return 1;
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39 }
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40
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41 static int math_cos (lua_State *L) {
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42 lua_pushnumber(L, cos(luaL_checknumber(L, 1)));
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43 return 1;
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44 }
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45
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46 static int math_cosh (lua_State *L) {
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47 lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
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48 return 1;
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49 }
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50
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51 static int math_tan (lua_State *L) {
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52 lua_pushnumber(L, tan(luaL_checknumber(L, 1)));
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53 return 1;
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54 }
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55
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56 static int math_tanh (lua_State *L) {
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57 lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
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58 return 1;
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59 }
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60
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61 static int math_asin (lua_State *L) {
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62 lua_pushnumber(L, asin(luaL_checknumber(L, 1)));
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63 return 1;
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64 }
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65
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66 static int math_acos (lua_State *L) {
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67 lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
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68 return 1;
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69 }
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70
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71 static int math_atan (lua_State *L) {
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72 lua_pushnumber(L, atan(luaL_checknumber(L, 1)));
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73 return 1;
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74 }
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75
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76 static int math_atan2 (lua_State *L) {
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77 lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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78 return 1;
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79 }
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80
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81 static int math_ceil (lua_State *L) {
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82 lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
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83 return 1;
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84 }
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85
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86 static int math_floor (lua_State *L) {
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87 lua_pushnumber(L, floor(luaL_checknumber(L, 1)));
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88 return 1;
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89 }
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90
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91 static int math_fmod (lua_State *L) {
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92 lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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93 return 1;
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94 }
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95
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96 static int math_modf (lua_State *L) {
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97 double ip;
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98 double fp = modf(luaL_checknumber(L, 1), &ip);
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99 lua_pushnumber(L, ip);
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100 lua_pushnumber(L, fp);
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101 return 2;
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102 }
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103
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104 static int math_sqrt (lua_State *L) {
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105 lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
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106 return 1;
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107 }
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108
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109 static int math_pow (lua_State *L) {
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110 lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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111 return 1;
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112 }
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113
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114 static int math_log (lua_State *L) {
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115 lua_pushnumber(L, log(luaL_checknumber(L, 1)));
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116 return 1;
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117 }
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118
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119 static int math_log10 (lua_State *L) {
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120 lua_pushnumber(L, log10(luaL_checknumber(L, 1)));
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121 return 1;
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122 }
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123
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124 static int math_exp (lua_State *L) {
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125 lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
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126 return 1;
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127 }
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128
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129 static int math_deg (lua_State *L) {
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130 lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
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131 return 1;
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132 }
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133
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134 static int math_rad (lua_State *L) {
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135 lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
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136 return 1;
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137 }
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138
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139 static int math_frexp (lua_State *L) {
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140 int e;
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141 lua_pushnumber(L, frexp(luaL_checknumber(L, 1), &e));
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142 lua_pushinteger(L, e);
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143 return 2;
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144 }
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145
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146 static int math_ldexp (lua_State *L) {
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147 lua_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
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148 return 1;
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149 }
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150
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151
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152
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153 static int math_min (lua_State *L) {
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154 int n = lua_gettop(L); /* number of arguments */
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155 lua_Number dmin = luaL_checknumber(L, 1);
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156 int i;
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157 for (i=2; i<=n; i++) {
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158 lua_Number d = luaL_checknumber(L, i);
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159 if (d < dmin)
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160 dmin = d;
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161 }
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162 lua_pushnumber(L, dmin);
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163 return 1;
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164 }
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165
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166
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167 static int math_max (lua_State *L) {
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168 int n = lua_gettop(L); /* number of arguments */
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169 lua_Number dmax = luaL_checknumber(L, 1);
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170 int i;
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171 for (i=2; i<=n; i++) {
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172 lua_Number d = luaL_checknumber(L, i);
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173 if (d > dmax)
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174 dmax = d;
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175 }
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176 lua_pushnumber(L, dmax);
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177 return 1;
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178 }
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179
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180
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181 static int math_random (lua_State *L) {
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182 /* the `%' avoids the (rare) case of r==1, and is needed also because on
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183 some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
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184 lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
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185 switch (lua_gettop(L)) { /* check number of arguments */
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186 case 0: { /* no arguments */
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187 lua_pushnumber(L, r); /* Number between 0 and 1 */
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188 break;
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189 }
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190 case 1: { /* only upper limit */
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191 int u = luaL_checkint(L, 1);
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192 luaL_argcheck(L, 1<=u, 1, "interval is empty");
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193 lua_pushnumber(L, floor(r*u)+1); /* int between 1 and `u' */
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194 break;
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195 }
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196 case 2: { /* lower and upper limits */
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197 int l = luaL_checkint(L, 1);
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198 int u = luaL_checkint(L, 2);
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199 luaL_argcheck(L, l<=u, 2, "interval is empty");
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200 lua_pushnumber(L, floor(r*(u-l+1))+l); /* int between `l' and `u' */
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201 break;
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202 }
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203 default: return luaL_error(L, "wrong number of arguments");
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204 }
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205 return 1;
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206 }
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207
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208
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209 static int math_randomseed (lua_State *L) {
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210 srand(luaL_checkint(L, 1));
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211 return 0;
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212 }
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213
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214
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215 static const luaL_Reg mathlib[] = {
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216 {"abs", math_abs},
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217 {"acos", math_acos},
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218 {"asin", math_asin},
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219 {"atan2", math_atan2},
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220 {"atan", math_atan},
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221 {"ceil", math_ceil},
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222 {"cosh", math_cosh},
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223 {"cos", math_cos},
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224 {"deg", math_deg},
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225 {"exp", math_exp},
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226 {"floor", math_floor},
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227 {"fmod", math_fmod},
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228 {"frexp", math_frexp},
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229 {"ldexp", math_ldexp},
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230 {"log10", math_log10},
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231 {"log", math_log},
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232 {"max", math_max},
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233 {"min", math_min},
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234 {"modf", math_modf},
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235 {"pow", math_pow},
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236 {"rad", math_rad},
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237 {"random", math_random},
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238 {"randomseed", math_randomseed},
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239 {"sinh", math_sinh},
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240 {"sin", math_sin},
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241 {"sqrt", math_sqrt},
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242 {"tanh", math_tanh},
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243 {"tan", math_tan},
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244 {NULL, NULL}
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245 };
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246
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247
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248 /*
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249 ** Open math library
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250 */
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251 LUALIB_API int luaopen_math (lua_State *L) {
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252 luaL_register(L, LUA_MATHLIBNAME, mathlib);
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253 lua_pushnumber(L, PI);
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254 lua_setfield(L, -2, "pi");
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255 lua_pushnumber(L, HUGE_VAL);
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256 lua_setfield(L, -2, "huge");
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257 #if defined(LUA_COMPAT_MOD)
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258 lua_getfield(L, -1, "fmod");
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259 lua_setfield(L, -2, "mod");
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260 #endif
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261 return 1;
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262 }
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263
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