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1866
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1 /*
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2 ** $Id: lmathlib.c,v 1.83 2013/03/07 18:21:32 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 ((lua_Number)(3.1415926535897932384626433832795))
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22 #define RADIANS_PER_DEGREE ((lua_Number)(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(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, l_mathop(atan2)(luaL_checknumber(L, 1),
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78 luaL_checknumber(L, 2)));
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79 return 1;
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80 }
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81
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82 static int math_ceil (lua_State *L) {
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83 lua_pushnumber(L, l_mathop(ceil)(luaL_checknumber(L, 1)));
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84 return 1;
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85 }
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86
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87 static int math_floor (lua_State *L) {
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88 lua_pushnumber(L, l_mathop(floor)(luaL_checknumber(L, 1)));
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89 return 1;
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90 }
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91
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92 static int math_fmod (lua_State *L) {
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93 lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
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94 luaL_checknumber(L, 2)));
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95 return 1;
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96 }
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97
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98 static int math_modf (lua_State *L) {
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99 lua_Number ip;
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100 lua_Number fp = l_mathop(modf)(luaL_checknumber(L, 1), &ip);
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101 lua_pushnumber(L, ip);
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102 lua_pushnumber(L, fp);
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103 return 2;
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104 }
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105
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106 static int math_sqrt (lua_State *L) {
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107 lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));
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108 return 1;
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109 }
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110
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111 static int math_pow (lua_State *L) {
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112 lua_Number x = luaL_checknumber(L, 1);
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113 lua_Number y = luaL_checknumber(L, 2);
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114 lua_pushnumber(L, l_mathop(pow)(x, y));
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115 return 1;
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116 }
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117
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118 static int math_log (lua_State *L) {
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119 lua_Number x = luaL_checknumber(L, 1);
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120 lua_Number res;
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121 if (lua_isnoneornil(L, 2))
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122 res = l_mathop(log)(x);
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123 else {
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124 lua_Number base = luaL_checknumber(L, 2);
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125 if (base == (lua_Number)10.0) res = l_mathop(log10)(x);
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126 else res = l_mathop(log)(x)/l_mathop(log)(base);
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127 }
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128 lua_pushnumber(L, res);
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129 return 1;
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130 }
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131
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132 #if defined(LUA_COMPAT_LOG10)
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133 static int math_log10 (lua_State *L) {
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134 lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
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135 return 1;
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136 }
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137 #endif
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138
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139 static int math_exp (lua_State *L) {
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140 lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));
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141 return 1;
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142 }
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143
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144 static int math_deg (lua_State *L) {
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145 lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
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146 return 1;
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147 }
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148
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149 static int math_rad (lua_State *L) {
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150 lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
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151 return 1;
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152 }
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153
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154 static int math_frexp (lua_State *L) {
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155 int e;
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156 lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
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157 lua_pushinteger(L, e);
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158 return 2;
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159 }
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160
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161 static int math_ldexp (lua_State *L) {
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162 lua_Number x = luaL_checknumber(L, 1);
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163 int ep = luaL_checkint(L, 2);
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164 lua_pushnumber(L, l_mathop(ldexp)(x, ep));
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165 return 1;
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166 }
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167
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168
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169
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170 static int math_min (lua_State *L) {
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171 int n = lua_gettop(L); /* number of arguments */
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172 lua_Number dmin = luaL_checknumber(L, 1);
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173 int i;
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174 for (i=2; i<=n; i++) {
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175 lua_Number d = luaL_checknumber(L, i);
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176 if (d < dmin)
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177 dmin = d;
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178 }
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179 lua_pushnumber(L, dmin);
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180 return 1;
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181 }
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182
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183
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184 static int math_max (lua_State *L) {
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185 int n = lua_gettop(L); /* number of arguments */
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186 lua_Number dmax = luaL_checknumber(L, 1);
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187 int i;
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188 for (i=2; i<=n; i++) {
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189 lua_Number d = luaL_checknumber(L, i);
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190 if (d > dmax)
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191 dmax = d;
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192 }
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193 lua_pushnumber(L, dmax);
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194 return 1;
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195 }
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196
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197
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198 static int math_random (lua_State *L) {
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199 /* the `%' avoids the (rare) case of r==1, and is needed also because on
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200 some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
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201 lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
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202 switch (lua_gettop(L)) { /* check number of arguments */
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203 case 0: { /* no arguments */
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204 lua_pushnumber(L, r); /* Number between 0 and 1 */
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205 break;
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206 }
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207 case 1: { /* only upper limit */
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208 lua_Number u = luaL_checknumber(L, 1);
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209 luaL_argcheck(L, (lua_Number)1.0 <= u, 1, "interval is empty");
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210 lua_pushnumber(L, l_mathop(floor)(r*u) + (lua_Number)(1.0)); /* [1, u] */
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211 break;
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212 }
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213 case 2: { /* lower and upper limits */
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214 lua_Number l = luaL_checknumber(L, 1);
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215 lua_Number u = luaL_checknumber(L, 2);
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216 luaL_argcheck(L, l <= u, 2, "interval is empty");
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217 lua_pushnumber(L, l_mathop(floor)(r*(u-l+1)) + l); /* [l, u] */
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218 break;
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219 }
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220 default: return luaL_error(L, "wrong number of arguments");
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221 }
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222 return 1;
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223 }
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224
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225
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226 static int math_randomseed (lua_State *L) {
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227 srand(luaL_checkunsigned(L, 1));
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228 (void)rand(); /* discard first value to avoid undesirable correlations */
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229 return 0;
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230 }
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231
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232
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233 static const luaL_Reg mathlib[] = {
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234 {"abs", math_abs},
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235 {"acos", math_acos},
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236 {"asin", math_asin},
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237 {"atan2", math_atan2},
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238 {"atan", math_atan},
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239 {"ceil", math_ceil},
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240 {"cosh", math_cosh},
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241 {"cos", math_cos},
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242 {"deg", math_deg},
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243 {"exp", math_exp},
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244 {"floor", math_floor},
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245 {"fmod", math_fmod},
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246 {"frexp", math_frexp},
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247 {"ldexp", math_ldexp},
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248 #if defined(LUA_COMPAT_LOG10)
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249 {"log10", math_log10},
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250 #endif
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251 {"log", math_log},
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252 {"max", math_max},
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253 {"min", math_min},
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254 {"modf", math_modf},
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255 {"pow", math_pow},
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256 {"rad", math_rad},
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257 {"random", math_random},
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258 {"randomseed", math_randomseed},
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259 {"sinh", math_sinh},
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260 {"sin", math_sin},
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261 {"sqrt", math_sqrt},
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262 {"tanh", math_tanh},
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263 {"tan", math_tan},
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264 {NULL, NULL}
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265 };
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266
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267
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268 /*
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269 ** Open math library
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270 */
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271 LUAMOD_API int luaopen_math (lua_State *L) {
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272 luaL_newlib(L, mathlib);
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273 lua_pushnumber(L, PI);
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274 lua_setfield(L, -2, "pi");
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275 lua_pushnumber(L, HUGE_VAL);
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276 lua_setfield(L, -2, "huge");
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277 return 1;
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278 }
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279
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