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0
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1 /* Primitive operations on floating point for XEmacs Lisp interpreter.
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2 Copyright (C) 1988, 1993, 1994 Free Software Foundation, Inc.
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3
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4 This file is part of XEmacs.
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5
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6 XEmacs is free software; you can redistribute it and/or modify it
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7 under the terms of the GNU General Public License as published by the
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8 Free Software Foundation; either version 2, or (at your option) any
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9 later version.
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10
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11 XEmacs is distributed in the hope that it will be useful, but WITHOUT
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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14 for more details.
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15
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16 You should have received a copy of the GNU General Public License
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17 along with XEmacs; see the file COPYING. If not, write to
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18 the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
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19 Boston, MA 02111-1307, USA. */
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20
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21 /* Synched up with: FSF 19.30. */
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22
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23 /* ANSI C requires only these float functions:
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24 acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, fmod,
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25 frexp, ldexp, log, log10, modf, pow, sin, sinh, sqrt, tan, tanh.
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26
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27 Define HAVE_INVERSE_HYPERBOLIC if you have acosh, asinh, and atanh.
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28 Define HAVE_CBRT if you have cbrt().
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29 Define HAVE_RINT if you have rint().
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30 If you don't define these, then the appropriate routines will be simulated.
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31
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32 Define HAVE_MATHERR if on a system supporting the SysV matherr() callback.
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33 (This should happen automatically.)
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34
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35 Define FLOAT_CHECK_ERRNO if the float library routines set errno.
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36 This has no effect if HAVE_MATHERR is defined.
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37
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38 Define FLOAT_CATCH_SIGILL if the float library routines signal SIGILL.
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39 (What systems actually do this? Let me know. -jwz)
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40
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41 Define FLOAT_CHECK_DOMAIN if the float library doesn't handle errors by
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42 either setting errno, or signalling SIGFPE/SIGILL. Otherwise, domain and
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43 range checking will happen before calling the float routines. This has
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44 no effect if HAVE_MATHERR is defined (since matherr will be called when
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45 a domain error occurs).
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46 */
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47
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48 #include <config.h>
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49 #include "lisp.h"
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50 #include "syssignal.h"
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51
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52 #ifdef LISP_FLOAT_TYPE
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53
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54 /* Need to define a differentiating symbol -- see sysfloat.h */
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55 #define THIS_FILENAME floatfns
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56 #include "sysfloat.h"
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57
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58 #ifndef HAVE_RINT
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59 static double
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60 rint (double x)
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61 {
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62 double r = floor (x + 0.5);
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63 double diff = fabs (r - x);
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64 /* Round to even and correct for any roundoff errors. */
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65 if (diff >= 0.5 && (diff > 0.5 || r != 2.0 * floor (r / 2.0)))
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66 r += r < x ? 1.0 : -1.0;
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67 return r;
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68 }
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69 #endif
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70
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71 /* Nonzero while executing in floating point.
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72 This tells float_error what to do. */
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73 static int in_float;
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74
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75 /* If an argument is out of range for a mathematical function,
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76 here is the actual argument value to use in the error message. */
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77 static Lisp_Object float_error_arg, float_error_arg2;
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78 static CONST char *float_error_fn_name;
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79
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80 /* Evaluate the floating point expression D, recording NUM
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81 as the original argument for error messages.
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82 D is normally an assignment expression.
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83 Handle errors which may result in signals or may set errno.
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84
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85 Note that float_error may be declared to return void, so you can't
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86 just cast the zero after the colon to (SIGTYPE) to make the types
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87 check properly. */
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88 #ifdef FLOAT_CHECK_ERRNO
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89 #define IN_FLOAT(d, name, num) \
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90 do { \
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91 float_error_arg = num; \
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92 float_error_fn_name = name; \
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93 in_float = 1; errno = 0; (d); in_float = 0; \
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94 if (errno != 0) in_float_error (); \
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95 } while (0)
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96 #define IN_FLOAT2(d, name, num, num2) \
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97 do { \
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98 float_error_arg = num; \
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99 float_error_arg2 = num2; \
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100 float_error_fn_name = name; \
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101 in_float = 2; errno = 0; (d); in_float = 0; \
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102 if (errno != 0) in_float_error (); \
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103 } while (0)
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104 #else
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105 #define IN_FLOAT(d, name, num) (in_float = 1, (d), in_float = 0)
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106 #define IN_FLOAT2(d, name, num, num2) (in_float = 2, (d), in_float = 0)
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107 #endif
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108
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109
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110 #define arith_error(op,arg) \
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111 Fsignal (Qarith_error, list2 (build_string ((op)), (arg)))
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112 #define range_error(op,arg) \
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113 Fsignal (Qrange_error, list2 (build_string ((op)), (arg)))
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114 #define range_error2(op,a1,a2) \
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115 Fsignal (Qrange_error, list3 (build_string ((op)), (a1), (a2)))
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116 #define domain_error(op,arg) \
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117 Fsignal (Qdomain_error, list2 (build_string ((op)), (arg)))
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118 #define domain_error2(op,a1,a2) \
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119 Fsignal (Qdomain_error, list3 (build_string ((op)), (a1), (a2)))
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120
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121
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122 /* Convert float to Lisp_Int if it fits, else signal a range error
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123 using the given arguments. */
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124 static Lisp_Object
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125 float_to_int (double x, CONST char *name, Lisp_Object num, Lisp_Object num2)
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126 {
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127 if (x >= ((EMACS_INT) 1 << (VALBITS-1))
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128 || x <= - ((EMACS_INT) 1 << (VALBITS-1)) - (EMACS_INT) 1)
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129 {
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130 if (!UNBOUNDP (num2))
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131 range_error2 (name, num, num2);
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132 else
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133 range_error (name, num);
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134 }
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135 return (make_int ((EMACS_INT) x));
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136 }
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137
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138
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139 static void
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140 in_float_error (void)
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141 {
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142 switch (errno)
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143 {
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144 case 0:
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145 break;
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146 case EDOM:
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147 if (in_float == 2)
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148 domain_error2 (float_error_fn_name, float_error_arg, float_error_arg2);
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149 else
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150 domain_error (float_error_fn_name, float_error_arg);
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151 break;
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152 case ERANGE:
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153 range_error (float_error_fn_name, float_error_arg);
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154 break;
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155 default:
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156 arith_error (float_error_fn_name, float_error_arg);
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157 break;
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158 }
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159 }
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160
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161
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162
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163 static Lisp_Object mark_float (Lisp_Object, void (*) (Lisp_Object));
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164 extern void print_float (Lisp_Object, Lisp_Object, int);
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165 static int float_equal (Lisp_Object o1, Lisp_Object o2, int depth);
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166 static unsigned long float_hash (Lisp_Object obj, int depth);
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167 DEFINE_BASIC_LRECORD_IMPLEMENTATION ("float", float,
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168 mark_float, print_float, 0, float_equal,
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169 float_hash, struct Lisp_Float);
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170
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171 static Lisp_Object
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172 mark_float (Lisp_Object obj, void (*markobj) (Lisp_Object))
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173 {
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174 return (Qnil);
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175 }
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176
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177 static int
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178 float_equal (Lisp_Object o1, Lisp_Object o2, int depth)
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179 {
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180 return (extract_float (o1) == extract_float (o2));
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181 }
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182
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183 static unsigned long
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184 float_hash (Lisp_Object obj, int depth)
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185 {
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186 /* mod the value down to 32-bit range */
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187 /* #### change for 64-bit machines */
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188 return (unsigned long) fmod (extract_float (obj), 4e9);
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189 }
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190
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191
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192 /* Extract a Lisp number as a `double', or signal an error. */
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193
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194 double
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195 extract_float (Lisp_Object num)
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196 {
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197 CHECK_INT_OR_FLOAT (num);
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198
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199 if (FLOATP (num))
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200 return (float_data (XFLOAT (num)));
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201 return (double) XINT (num);
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202 }
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203 #endif /* LISP_FLOAT_TYPE */
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204
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205
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206 /* Trig functions. */
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207 #ifdef LISP_FLOAT_TYPE
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208
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209 DEFUN ("acos", Facos, Sacos, 1, 1, 0 /*
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210 Return the inverse cosine of ARG.
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211 */ )
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212 (arg)
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213 Lisp_Object arg;
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214 {
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215 double d = extract_float (arg);
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216 #ifdef FLOAT_CHECK_DOMAIN
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217 if (d > 1.0 || d < -1.0)
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218 domain_error ("acos", arg);
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219 #endif
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220 IN_FLOAT (d = acos (d), "acos", arg);
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221 return make_float (d);
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222 }
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223
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224 DEFUN ("asin", Fasin, Sasin, 1, 1, 0 /*
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225 Return the inverse sine of ARG.
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226 */ )
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227 (arg)
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228 Lisp_Object arg;
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229 {
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230 double d = extract_float (arg);
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231 #ifdef FLOAT_CHECK_DOMAIN
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232 if (d > 1.0 || d < -1.0)
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233 domain_error ("asin", arg);
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234 #endif
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235 IN_FLOAT (d = asin (d), "asin", arg);
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236 return make_float (d);
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237 }
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238
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239 DEFUN ("atan", Fatan, Satan, 1, 2, 0 /*
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240 Return the inverse tangent of ARG.
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241 */ )
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242 (arg1, arg2)
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243 Lisp_Object arg1, arg2;
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244 {
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245 double d = extract_float (arg1);
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246
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247 if (NILP (arg2))
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248 IN_FLOAT (d = atan (d), "atan", arg1);
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249 else
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250 {
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251 double d2 = extract_float (arg2);
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252 #ifdef FLOAT_CHECK_DOMAIN
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253 if (d == 0.0 && d2 == 0.0)
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254 domain_error2 ("atan", arg1, arg2);
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255 #endif
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256 IN_FLOAT2 (d = atan2 (d, d2), "atan", arg1, arg2);
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257 }
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258 return make_float (d);
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259 }
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260
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261 DEFUN ("cos", Fcos, Scos, 1, 1, 0 /*
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262 Return the cosine of ARG.
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263 */ )
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264 (arg)
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265 Lisp_Object arg;
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266 {
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267 double d = extract_float (arg);
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268 IN_FLOAT (d = cos (d), "cos", arg);
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269 return make_float (d);
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270 }
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271
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272 DEFUN ("sin", Fsin, Ssin, 1, 1, 0 /*
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273 Return the sine of ARG.
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274 */ )
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275 (arg)
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276 Lisp_Object arg;
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277 {
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278 double d = extract_float (arg);
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279 IN_FLOAT (d = sin (d), "sin", arg);
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280 return make_float (d);
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281 }
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282
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283 DEFUN ("tan", Ftan, Stan, 1, 1, 0 /*
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284 Return the tangent of ARG.
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285 */ )
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286 (arg)
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287 Lisp_Object arg;
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288 {
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289 double d = extract_float (arg);
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290 double c = cos (d);
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291 #ifdef FLOAT_CHECK_DOMAIN
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292 if (c == 0.0)
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293 domain_error ("tan", arg);
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294 #endif
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295 IN_FLOAT (d = (sin (d) / c), "tan", arg);
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296 return make_float (d);
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297 }
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298 #endif /* LISP_FLOAT_TYPE (trig functions) */
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299
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300
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301 /* Bessel functions */
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302 #if 0 /* Leave these out unless we find there's a reason for them. */
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303 /* #ifdef LISP_FLOAT_TYPE */
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304
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305 DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0 /*
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306 Return the bessel function j0 of ARG.
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307 */ )
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308 (arg)
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309 Lisp_Object arg;
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310 {
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311 double d = extract_float (arg);
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312 IN_FLOAT (d = j0 (d), "bessel-j0", arg);
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313 return make_float (d);
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314 }
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315
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316 DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0 /*
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317 Return the bessel function j1 of ARG.
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318 */ )
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319 (arg)
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320 Lisp_Object arg;
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321 {
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322 double d = extract_float (arg);
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323 IN_FLOAT (d = j1 (d), "bessel-j1", arg);
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324 return make_float (d);
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325 }
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326
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327 DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0 /*
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328 Return the order N bessel function output jn of ARG.
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329 The first arg (the order) is truncated to an integer.
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330 */ )
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331 (arg1, arg2)
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332 Lisp_Object arg1, arg2;
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333 {
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334 int i1 = extract_float (arg1);
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335 double f2 = extract_float (arg2);
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336
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337 IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", arg1);
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338 return make_float (f2);
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339 }
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340
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341 DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0 /*
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342 Return the bessel function y0 of ARG.
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343 */ )
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344 (arg)
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345 Lisp_Object arg;
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346 {
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347 double d = extract_float (arg);
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348 IN_FLOAT (d = y0 (d), "bessel-y0", arg);
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349 return make_float (d);
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350 }
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351
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352 DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0 /*
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353 Return the bessel function y1 of ARG.
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354 */ )
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355 (arg)
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356 Lisp_Object arg;
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357 {
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358 double d = extract_float (arg);
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359 IN_FLOAT (d = y1 (d), "bessel-y0", arg);
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360 return make_float (d);
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361 }
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362
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363 DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0 /*
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364 Return the order N bessel function output yn of ARG.
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365 The first arg (the order) is truncated to an integer.
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366 */ )
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367 (arg1, arg2)
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368 Lisp_Object arg1, arg2;
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369 {
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370 int i1 = extract_float (arg1);
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371 double f2 = extract_float (arg2);
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372
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373 IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", arg1);
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374 return make_float (f2);
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375 }
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376
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377 #endif /* 0 (bessel functions) */
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378
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379 /* Error functions. */
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380 #if 0 /* Leave these out unless we see they are worth having. */
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381 /* #ifdef LISP_FLOAT_TYPE */
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382
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383 DEFUN ("erf", Ferf, Serf, 1, 1, 0 /*
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384 Return the mathematical error function of ARG.
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385 */ )
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386 (arg)
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387 Lisp_Object arg;
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388 {
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389 double d = extract_float (arg);
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390 IN_FLOAT (d = erf (d), "erf", arg);
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391 return make_float (d);
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392 }
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393
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394 DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0 /*
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395 Return the complementary error function of ARG.
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396 */ )
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397 (arg)
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398 Lisp_Object arg;
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399 {
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400 double d = extract_float (arg);
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401 IN_FLOAT (d = erfc (d), "erfc", arg);
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402 return make_float (d);
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403 }
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404
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|
|
405 DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0 /*
|
|
|
406 Return the log gamma of ARG.
|
|
|
407 */ )
|
|
|
408 (arg)
|
|
|
409 Lisp_Object arg;
|
|
|
410 {
|
|
|
411 double d = extract_float (arg);
|
|
|
412 IN_FLOAT (d = lgamma (d), "log-gamma", arg);
|
|
|
413 return make_float (d);
|
|
|
414 }
|
|
|
415
|
|
|
416 #endif /* 0 (error functions) */
|
|
|
417
|
|
|
418
|
|
|
419 /* Root and Log functions. */
|
|
|
420
|
|
|
421 #ifdef LISP_FLOAT_TYPE
|
|
|
422 DEFUN ("exp", Fexp, Sexp, 1, 1, 0 /*
|
|
|
423 Return the exponential base e of ARG.
|
|
|
424 */ )
|
|
|
425 (arg)
|
|
|
426 Lisp_Object arg;
|
|
|
427 {
|
|
|
428 double d = extract_float (arg);
|
|
|
429 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
430 if (d > 709.7827) /* Assume IEEE doubles here */
|
|
|
431 range_error ("exp", arg);
|
|
|
432 else if (d < -709.0)
|
|
|
433 return make_float (0.0);
|
|
|
434 else
|
|
|
435 #endif
|
|
|
436 IN_FLOAT (d = exp (d), "exp", arg);
|
|
|
437 return make_float (d);
|
|
|
438 }
|
|
|
439 #endif /* LISP_FLOAT_TYPE */
|
|
|
440
|
|
|
441
|
|
|
442 DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0 /*
|
|
|
443 Return the exponential ARG1 ** ARG2.
|
|
|
444 */ )
|
|
|
445 (arg1, arg2)
|
|
|
446 Lisp_Object arg1, arg2;
|
|
|
447 {
|
|
|
448 double f1, f2;
|
|
|
449
|
|
|
450 CHECK_INT_OR_FLOAT (arg1);
|
|
|
451 CHECK_INT_OR_FLOAT (arg2);
|
|
|
452 if ((INTP (arg1)) && /* common lisp spec */
|
|
|
453 (INTP (arg2))) /* don't promote, if both are ints */
|
|
|
454 {
|
|
|
455 EMACS_INT acc, x, y;
|
|
|
456 x = XINT (arg1);
|
|
|
457 y = XINT (arg2);
|
|
|
458
|
|
|
459 if (y < 0)
|
|
|
460 {
|
|
|
461 if (x == 1)
|
|
|
462 acc = 1;
|
|
|
463 else if (x == -1)
|
|
|
464 acc = (y & 1) ? -1 : 1;
|
|
|
465 else
|
|
|
466 acc = 0;
|
|
|
467 }
|
|
|
468 else
|
|
|
469 {
|
|
|
470 acc = 1;
|
|
|
471 while (y > 0)
|
|
|
472 {
|
|
|
473 if (y & 1)
|
|
|
474 acc *= x;
|
|
|
475 x *= x;
|
|
|
476 y = (unsigned EMACS_INT) y >> 1;
|
|
|
477 }
|
|
|
478 }
|
|
|
479 return (make_int (acc));
|
|
|
480 }
|
|
|
481 #ifdef LISP_FLOAT_TYPE
|
|
|
482 f1 = (FLOATP (arg1)) ? float_data (XFLOAT (arg1)) : XINT (arg1);
|
|
|
483 f2 = (FLOATP (arg2)) ? float_data (XFLOAT (arg2)) : XINT (arg2);
|
|
|
484 /* Really should check for overflow, too */
|
|
|
485 if (f1 == 0.0 && f2 == 0.0)
|
|
|
486 f1 = 1.0;
|
|
|
487 # ifdef FLOAT_CHECK_DOMAIN
|
|
|
488 else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2)))
|
|
|
489 domain_error2 ("expt", arg1, arg2);
|
|
|
490 # endif /* FLOAT_CHECK_DOMAIN */
|
|
|
491 IN_FLOAT2 (f1 = pow (f1, f2), "expt", arg1, arg2);
|
|
|
492 return make_float (f1);
|
|
|
493 #else /* !LISP_FLOAT_TYPE */
|
|
|
494 abort ();
|
|
|
495 #endif /* LISP_FLOAT_TYPE */
|
|
|
496 }
|
|
|
497
|
|
|
498 #ifdef LISP_FLOAT_TYPE
|
|
|
499 DEFUN ("log", Flog, Slog, 1, 2, 0 /*
|
|
|
500 Return the natural logarithm of ARG.
|
|
|
501 If second optional argument BASE is given, return log ARG using that base.
|
|
|
502 */ )
|
|
|
503 (arg, base)
|
|
|
504 Lisp_Object arg, base;
|
|
|
505 {
|
|
|
506 double d = extract_float (arg);
|
|
|
507 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
508 if (d <= 0.0)
|
|
|
509 domain_error2 ("log", arg, base);
|
|
|
510 #endif
|
|
|
511 if (NILP (base))
|
|
|
512 IN_FLOAT (d = log (d), "log", arg);
|
|
|
513 else
|
|
|
514 {
|
|
|
515 double b = extract_float (base);
|
|
|
516 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
517 if (b <= 0.0 || b == 1.0)
|
|
|
518 domain_error2 ("log", arg, base);
|
|
|
519 #endif
|
|
|
520 if (b == 10.0)
|
|
|
521 IN_FLOAT2 (d = log10 (d), "log", arg, base);
|
|
|
522 else
|
|
|
523 IN_FLOAT2 (d = (log (d) / log (b)), "log", arg, base);
|
|
|
524 }
|
|
|
525 return make_float (d);
|
|
|
526 }
|
|
|
527
|
|
|
528
|
|
|
529 DEFUN ("log10", Flog10, Slog10, 1, 1, 0 /*
|
|
|
530 Return the logarithm base 10 of ARG.
|
|
|
531 */ )
|
|
|
532 (arg)
|
|
|
533 Lisp_Object arg;
|
|
|
534 {
|
|
|
535 double d = extract_float (arg);
|
|
|
536 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
537 if (d <= 0.0)
|
|
|
538 domain_error ("log10", arg);
|
|
|
539 #endif
|
|
|
540 IN_FLOAT (d = log10 (d), "log10", arg);
|
|
|
541 return make_float (d);
|
|
|
542 }
|
|
|
543
|
|
|
544
|
|
|
545 DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0 /*
|
|
|
546 Return the square root of ARG.
|
|
|
547 */ )
|
|
|
548 (arg)
|
|
|
549 Lisp_Object arg;
|
|
|
550 {
|
|
|
551 double d = extract_float (arg);
|
|
|
552 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
553 if (d < 0.0)
|
|
|
554 domain_error ("sqrt", arg);
|
|
|
555 #endif
|
|
|
556 IN_FLOAT (d = sqrt (d), "sqrt", arg);
|
|
|
557 return make_float (d);
|
|
|
558 }
|
|
|
559
|
|
|
560
|
|
|
561 DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0 /*
|
|
|
562 Return the cube root of ARG.
|
|
|
563 */ )
|
|
|
564 (arg)
|
|
|
565 Lisp_Object arg;
|
|
|
566 {
|
|
|
567 double d = extract_float (arg);
|
|
|
568 #ifdef HAVE_CBRT
|
|
|
569 IN_FLOAT (d = cbrt (d), "cube-root", arg);
|
|
|
570 #else
|
|
|
571 if (d >= 0.0)
|
|
|
572 IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg);
|
|
|
573 else
|
|
|
574 IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg);
|
|
|
575 #endif
|
|
|
576 return make_float (d);
|
|
|
577 }
|
|
|
578 #endif /* LISP_FLOAT_TYPE */
|
|
|
579
|
|
|
580
|
|
|
581 /* Inverse trig functions. */
|
|
|
582 #ifdef LISP_FLOAT_TYPE
|
|
|
583 /* #if 0 Not clearly worth adding... */
|
|
|
584
|
|
|
585 DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0 /*
|
|
|
586 Return the inverse hyperbolic cosine of ARG.
|
|
|
587 */ )
|
|
|
588 (arg)
|
|
|
589 Lisp_Object arg;
|
|
|
590 {
|
|
|
591 double d = extract_float (arg);
|
|
|
592 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
593 if (d < 1.0)
|
|
|
594 domain_error ("acosh", arg);
|
|
|
595 #endif
|
|
|
596 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
597 IN_FLOAT (d = acosh (d), "acosh", arg);
|
|
|
598 #else
|
|
|
599 IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg);
|
|
|
600 #endif
|
|
|
601 return make_float (d);
|
|
|
602 }
|
|
|
603
|
|
|
604 DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0 /*
|
|
|
605 Return the inverse hyperbolic sine of ARG.
|
|
|
606 */ )
|
|
|
607 (arg)
|
|
|
608 Lisp_Object arg;
|
|
|
609 {
|
|
|
610 double d = extract_float (arg);
|
|
|
611 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
612 IN_FLOAT (d = asinh (d), "asinh", arg);
|
|
|
613 #else
|
|
|
614 IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg);
|
|
|
615 #endif
|
|
|
616 return make_float (d);
|
|
|
617 }
|
|
|
618
|
|
|
619 DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0 /*
|
|
|
620 Return the inverse hyperbolic tangent of ARG.
|
|
|
621 */ )
|
|
|
622 (arg)
|
|
|
623 Lisp_Object arg;
|
|
|
624 {
|
|
|
625 double d = extract_float (arg);
|
|
|
626 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
627 if (d >= 1.0 || d <= -1.0)
|
|
|
628 domain_error ("atanh", arg);
|
|
|
629 #endif
|
|
|
630 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
631 IN_FLOAT (d = atanh (d), "atanh", arg);
|
|
|
632 #else
|
|
|
633 IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg);
|
|
|
634 #endif
|
|
|
635 return make_float (d);
|
|
|
636 }
|
|
|
637
|
|
|
638 DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0 /*
|
|
|
639 Return the hyperbolic cosine of ARG.
|
|
|
640 */ )
|
|
|
641 (arg)
|
|
|
642 Lisp_Object arg;
|
|
|
643 {
|
|
|
644 double d = extract_float (arg);
|
|
|
645 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
646 if (d > 710.0 || d < -710.0)
|
|
|
647 range_error ("cosh", arg);
|
|
|
648 #endif
|
|
|
649 IN_FLOAT (d = cosh (d), "cosh", arg);
|
|
|
650 return make_float (d);
|
|
|
651 }
|
|
|
652
|
|
|
653 DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0 /*
|
|
|
654 Return the hyperbolic sine of ARG.
|
|
|
655 */ )
|
|
|
656 (arg)
|
|
|
657 Lisp_Object arg;
|
|
|
658 {
|
|
|
659 double d = extract_float (arg);
|
|
|
660 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
661 if (d > 710.0 || d < -710.0)
|
|
|
662 range_error ("sinh", arg);
|
|
|
663 #endif
|
|
|
664 IN_FLOAT (d = sinh (d), "sinh", arg);
|
|
|
665 return make_float (d);
|
|
|
666 }
|
|
|
667
|
|
|
668 DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0 /*
|
|
|
669 Return the hyperbolic tangent of ARG.
|
|
|
670 */ )
|
|
|
671 (arg)
|
|
|
672 Lisp_Object arg;
|
|
|
673 {
|
|
|
674 double d = extract_float (arg);
|
|
|
675 IN_FLOAT (d = tanh (d), "tanh", arg);
|
|
|
676 return make_float (d);
|
|
|
677 }
|
|
|
678 #endif /* LISP_FLOAT_TYPE (inverse trig functions) */
|
|
|
679
|
|
|
680 /* Rounding functions */
|
|
|
681
|
|
|
682 DEFUN ("abs", Fabs, Sabs, 1, 1, 0 /*
|
|
|
683 Return the absolute value of ARG.
|
|
|
684 */ )
|
|
|
685 (arg)
|
|
|
686 Lisp_Object arg;
|
|
|
687 {
|
|
|
688 CHECK_INT_OR_FLOAT (arg);
|
|
|
689
|
|
|
690 #ifdef LISP_FLOAT_TYPE
|
|
|
691 if (FLOATP (arg))
|
|
|
692 {
|
|
|
693 IN_FLOAT (arg = make_float ((double) fabs (float_data (XFLOAT (arg)))),
|
|
|
694 "abs", arg);
|
|
|
695 return (arg);
|
|
|
696 }
|
|
|
697 else
|
|
|
698 #endif /* LISP_FLOAT_TYPE */
|
|
|
699 if (XINT (arg) < 0)
|
|
|
700 return (make_int (- XINT (arg)));
|
|
|
701 else
|
|
|
702 return (arg);
|
|
|
703 }
|
|
|
704
|
|
|
705 #ifdef LISP_FLOAT_TYPE
|
|
|
706 DEFUN ("float", Ffloat, Sfloat, 1, 1, 0 /*
|
|
|
707 Return the floating point number equal to ARG.
|
|
|
708 */ )
|
|
|
709 (arg)
|
|
|
710 Lisp_Object arg;
|
|
|
711 {
|
|
|
712 CHECK_INT_OR_FLOAT (arg);
|
|
|
713
|
|
|
714 if (INTP (arg))
|
|
|
715 return make_float ((double) XINT (arg));
|
|
|
716 else /* give 'em the same float back */
|
|
|
717 return arg;
|
|
|
718 }
|
|
|
719 #endif /* LISP_FLOAT_TYPE */
|
|
|
720
|
|
|
721
|
|
|
722 #ifdef LISP_FLOAT_TYPE
|
|
|
723 DEFUN ("logb", Flogb, Slogb, 1, 1, 0 /*
|
|
|
724 Return largest integer <= the base 2 log of the magnitude of ARG.
|
|
|
725 This is the same as the exponent of a float.
|
|
|
726 */ )
|
|
|
727 (arg)
|
|
|
728 Lisp_Object arg;
|
|
|
729 {
|
|
|
730 double f = extract_float (arg);
|
|
|
731
|
|
|
732 if (f == 0.0)
|
|
|
733 return (make_int (- (((EMACS_UINT) 1) << (VALBITS - 1)))); /* most-negative-fixnum */
|
|
|
734 #ifdef HAVE_LOGB
|
|
|
735 {
|
|
|
736 Lisp_Object val;
|
|
|
737 IN_FLOAT (val = make_int (logb (f)), "logb", arg);
|
|
|
738 return (val);
|
|
|
739 }
|
|
|
740 #else
|
|
|
741 #ifdef HAVE_FREXP
|
|
|
742 {
|
|
|
743 int exqp;
|
|
|
744 IN_FLOAT (frexp (f, &exqp), "logb", arg);
|
|
|
745 return (make_int (exqp - 1));
|
|
|
746 }
|
|
|
747 #else
|
|
|
748 {
|
|
|
749 int i;
|
|
|
750 double d;
|
|
|
751 EMACS_INT val;
|
|
|
752 if (f < 0.0)
|
|
|
753 f = -f;
|
|
|
754 val = -1;
|
|
|
755 while (f < 0.5)
|
|
|
756 {
|
|
|
757 for (i = 1, d = 0.5; d * d >= f; i += i)
|
|
|
758 d *= d;
|
|
|
759 f /= d;
|
|
|
760 val -= i;
|
|
|
761 }
|
|
|
762 while (f >= 1.0)
|
|
|
763 {
|
|
|
764 for (i = 1, d = 2.0; d * d <= f; i += i)
|
|
|
765 d *= d;
|
|
|
766 f /= d;
|
|
|
767 val += i;
|
|
|
768 }
|
|
|
769 return (make_int (val));
|
|
|
770 }
|
|
|
771 #endif /* ! HAVE_FREXP */
|
|
|
772 #endif /* ! HAVE_LOGB */
|
|
|
773 }
|
|
|
774 #endif /* LISP_FLOAT_TYPE */
|
|
|
775
|
|
|
776
|
|
|
777 DEFUN ("ceiling", Fceiling, Sceiling, 1, 1, 0 /*
|
|
|
778 Return the smallest integer no less than ARG. (Round toward +inf.)
|
|
|
779 */ )
|
|
|
780 (arg)
|
|
|
781 Lisp_Object arg;
|
|
|
782 {
|
|
|
783 CHECK_INT_OR_FLOAT (arg);
|
|
|
784
|
|
|
785 #ifdef LISP_FLOAT_TYPE
|
|
|
786 if (FLOATP (arg))
|
|
|
787 {
|
|
|
788 double d;
|
|
|
789 IN_FLOAT ((d = ceil (float_data (XFLOAT (arg)))), "ceiling", arg);
|
|
|
790 return (float_to_int (d, "ceiling", arg, Qunbound));
|
|
|
791 }
|
|
|
792 #endif /* LISP_FLOAT_TYPE */
|
|
|
793
|
|
|
794 return arg;
|
|
|
795 }
|
|
|
796
|
|
|
797
|
|
|
798 DEFUN ("floor", Ffloor, Sfloor, 1, 2, 0 /*
|
|
|
799 Return the largest integer no greater than ARG. (Round towards -inf.)
|
|
|
800 With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR.
|
|
|
801 */ )
|
|
|
802 (arg, divisor)
|
|
|
803 Lisp_Object arg, divisor;
|
|
|
804 {
|
|
|
805 CHECK_INT_OR_FLOAT (arg);
|
|
|
806
|
|
|
807 if (! NILP (divisor))
|
|
|
808 {
|
|
|
809 EMACS_INT i1, i2;
|
|
|
810
|
|
|
811 CHECK_INT_OR_FLOAT (divisor);
|
|
|
812
|
|
|
813 #ifdef LISP_FLOAT_TYPE
|
|
|
814 if (FLOATP (arg) || FLOATP (divisor))
|
|
|
815 {
|
|
|
816 double f1, f2;
|
|
|
817
|
|
|
818 f1 = ((FLOATP (arg)) ? float_data (XFLOAT (arg)) : XINT (arg));
|
|
|
819 f2 = ((FLOATP (divisor)) ? float_data (XFLOAT (divisor)) : XINT (divisor));
|
|
|
820 if (f2 == 0)
|
|
|
821 Fsignal (Qarith_error, Qnil);
|
|
|
822
|
|
|
823 IN_FLOAT2 (f1 = floor (f1 / f2), "floor", arg, divisor);
|
|
|
824 return float_to_int (f1, "floor", arg, divisor);
|
|
|
825 }
|
|
|
826 #endif /* LISP_FLOAT_TYPE */
|
|
|
827
|
|
|
828 i1 = XINT (arg);
|
|
|
829 i2 = XINT (divisor);
|
|
|
830
|
|
|
831 if (i2 == 0)
|
|
|
832 Fsignal (Qarith_error, Qnil);
|
|
|
833
|
|
|
834 /* With C's /, the result is implementation-defined if either operand
|
|
|
835 is negative, so use only nonnegative operands. */
|
|
|
836 i1 = (i2 < 0
|
|
|
837 ? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2))
|
|
|
838 : (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2));
|
|
|
839
|
|
|
840 return (make_int (i1));
|
|
|
841 }
|
|
|
842
|
|
|
843 #ifdef LISP_FLOAT_TYPE
|
|
|
844 if (FLOATP (arg))
|
|
|
845 {
|
|
|
846 double d;
|
|
|
847 IN_FLOAT ((d = floor (float_data (XFLOAT (arg)))), "floor", arg);
|
|
|
848 return (float_to_int (d, "floor", arg, Qunbound));
|
|
|
849 }
|
|
|
850 #endif /* LISP_FLOAT_TYPE */
|
|
|
851
|
|
|
852 return arg;
|
|
|
853 }
|
|
|
854
|
|
|
855 DEFUN ("round", Fround, Sround, 1, 1, 0 /*
|
|
|
856 Return the nearest integer to ARG.
|
|
|
857 */ )
|
|
|
858 (arg)
|
|
|
859 Lisp_Object arg;
|
|
|
860 {
|
|
|
861 CHECK_INT_OR_FLOAT (arg);
|
|
|
862
|
|
|
863 #ifdef LISP_FLOAT_TYPE
|
|
|
864 if (FLOATP (arg))
|
|
|
865 {
|
|
|
866 double d;
|
|
|
867 /* Screw the prevailing rounding mode. */
|
|
|
868 IN_FLOAT ((d = rint (float_data (XFLOAT (arg)))), "round", arg);
|
|
|
869 return (float_to_int (d, "round", arg, Qunbound));
|
|
|
870 }
|
|
|
871 #endif /* LISP_FLOAT_TYPE */
|
|
|
872
|
|
|
873 return arg;
|
|
|
874 }
|
|
|
875
|
|
|
876 DEFUN ("truncate", Ftruncate, Struncate, 1, 1, 0 /*
|
|
|
877 Truncate a floating point number to an integer.
|
|
|
878 Rounds the value toward zero.
|
|
|
879 */ )
|
|
|
880 (arg)
|
|
|
881 Lisp_Object arg;
|
|
|
882 {
|
|
|
883 CHECK_INT_OR_FLOAT (arg);
|
|
|
884
|
|
|
885 #ifdef LISP_FLOAT_TYPE
|
|
|
886 if (FLOATP (arg))
|
|
|
887 return (float_to_int (float_data (XFLOAT (arg)),
|
|
|
888 "truncate", arg, Qunbound));
|
|
|
889 #endif /* LISP_FLOAT_TYPE */
|
|
|
890
|
|
|
891 return arg;
|
|
|
892 }
|
|
|
893
|
|
|
894 /* Float-rounding functions. */
|
|
|
895 #ifdef LISP_FLOAT_TYPE
|
|
|
896 /* #if 1 It's not clear these are worth adding... */
|
|
|
897
|
|
|
898 DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0 /*
|
|
|
899 Return the smallest integer no less than ARG, as a float.
|
|
|
900 \(Round toward +inf.\)
|
|
|
901 */ )
|
|
|
902 (arg)
|
|
|
903 Lisp_Object arg;
|
|
|
904 {
|
|
|
905 double d = extract_float (arg);
|
|
|
906 IN_FLOAT (d = ceil (d), "fceiling", arg);
|
|
|
907 return make_float (d);
|
|
|
908 }
|
|
|
909
|
|
|
910 DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0 /*
|
|
|
911 Return the largest integer no greater than ARG, as a float.
|
|
|
912 \(Round towards -inf.\)
|
|
|
913 */ )
|
|
|
914 (arg)
|
|
|
915 Lisp_Object arg;
|
|
|
916 {
|
|
|
917 double d = extract_float (arg);
|
|
|
918 IN_FLOAT (d = floor (d), "ffloor", arg);
|
|
|
919 return make_float (d);
|
|
|
920 }
|
|
|
921
|
|
|
922 DEFUN ("fround", Ffround, Sfround, 1, 1, 0 /*
|
|
|
923 Return the nearest integer to ARG, as a float.
|
|
|
924 */ )
|
|
|
925 (arg)
|
|
|
926 Lisp_Object arg;
|
|
|
927 {
|
|
|
928 double d = extract_float (arg);
|
|
|
929 IN_FLOAT (d = rint (d), "fround", arg);
|
|
|
930 return make_float (d);
|
|
|
931 }
|
|
|
932
|
|
|
933 DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0 /*
|
|
|
934 Truncate a floating point number to an integral float value.
|
|
|
935 Rounds the value toward zero.
|
|
|
936 */ )
|
|
|
937 (arg)
|
|
|
938 Lisp_Object arg;
|
|
|
939 {
|
|
|
940 double d = extract_float (arg);
|
|
|
941 if (d >= 0.0)
|
|
|
942 IN_FLOAT (d = floor (d), "ftruncate", arg);
|
|
|
943 else
|
|
|
944 IN_FLOAT (d = ceil (d), "ftruncate", arg);
|
|
|
945 return make_float (d);
|
|
|
946 }
|
|
|
947
|
|
|
948 #endif /* LISP_FLOAT_TYPE (float-rounding functions) */
|
|
|
949
|
|
|
950
|
|
|
951 #ifdef LISP_FLOAT_TYPE
|
|
|
952 #ifdef FLOAT_CATCH_SIGILL
|
|
|
953 static SIGTYPE
|
|
|
954 float_error (int signo)
|
|
|
955 {
|
|
|
956 if (! in_float)
|
|
|
957 fatal_error_signal (signo);
|
|
|
958
|
|
|
959 EMACS_REESTABLISH_SIGNAL (signo, arith_error);
|
|
|
960 EMACS_UNBLOCK_SIGNAL (signo);
|
|
|
961
|
|
|
962 in_float = 0;
|
|
|
963
|
|
|
964 /* Was Fsignal(), but it just doesn't make sense for an error
|
|
|
965 occurring inside a signal handler to be restartable, considering
|
|
|
966 that anything could happen when the error is signaled and trapped
|
|
|
967 and considering the asynchronous nature of signal handlers. */
|
|
|
968 signal_error (Qarith_error, list1 (float_error_arg));
|
|
|
969 }
|
|
|
970
|
|
|
971 /* Another idea was to replace the library function `infnan'
|
|
|
972 where SIGILL is signaled. */
|
|
|
973
|
|
|
974 #endif /* FLOAT_CATCH_SIGILL */
|
|
|
975
|
|
|
976 #ifdef HAVE_MATHERR
|
|
|
977 int
|
|
|
978 matherr (struct exception *x)
|
|
|
979 {
|
|
|
980 Lisp_Object args;
|
|
|
981 if (! in_float)
|
|
|
982 /* Not called from emacs-lisp float routines; do the default thing. */
|
|
|
983 return 0;
|
|
|
984
|
|
|
985 /* if (!strcmp (x->name, "pow")) x->name = "expt"; */
|
|
|
986
|
|
|
987 args = Fcons (build_string (x->name),
|
|
|
988 Fcons (make_float (x->arg1),
|
|
|
989 ((in_float == 2)
|
|
|
990 ? Fcons (make_float (x->arg2), Qnil)
|
|
|
991 : Qnil)));
|
|
|
992 switch (x->type)
|
|
|
993 {
|
|
|
994 case DOMAIN: Fsignal (Qdomain_error, args); break;
|
|
|
995 case SING: Fsignal (Qsingularity_error, args); break;
|
|
|
996 case OVERFLOW: Fsignal (Qoverflow_error, args); break;
|
|
|
997 case UNDERFLOW: Fsignal (Qunderflow_error, args); break;
|
|
|
998 default: Fsignal (Qarith_error, args); break;
|
|
|
999 }
|
|
|
1000 return (1); /* don't set errno or print a message */
|
|
|
1001 }
|
|
|
1002 #endif /* HAVE_MATHERR */
|
|
|
1003 #endif /* LISP_FLOAT_TYPE */
|
|
|
1004
|
|
|
1005
|
|
|
1006 void
|
|
|
1007 init_floatfns_very_early (void)
|
|
|
1008 {
|
|
|
1009 #ifdef LISP_FLOAT_TYPE
|
|
|
1010 # ifdef FLOAT_CATCH_SIGILL
|
|
|
1011 signal (SIGILL, float_error);
|
|
|
1012 # endif
|
|
|
1013 in_float = 0;
|
|
|
1014 #endif /* LISP_FLOAT_TYPE */
|
|
|
1015 }
|
|
|
1016
|
|
|
1017 void
|
|
|
1018 syms_of_floatfns (void)
|
|
|
1019 {
|
|
|
1020
|
|
|
1021 /* Trig functions. */
|
|
|
1022
|
|
|
1023 #ifdef LISP_FLOAT_TYPE
|
|
|
1024 defsubr (&Sacos);
|
|
|
1025 defsubr (&Sasin);
|
|
|
1026 defsubr (&Satan);
|
|
|
1027 defsubr (&Scos);
|
|
|
1028 defsubr (&Ssin);
|
|
|
1029 defsubr (&Stan);
|
|
|
1030 #endif /* LISP_FLOAT_TYPE */
|
|
|
1031
|
|
|
1032 /* Bessel functions */
|
|
|
1033
|
|
|
1034 #if 0
|
|
|
1035 defsubr (&Sbessel_y0);
|
|
|
1036 defsubr (&Sbessel_y1);
|
|
|
1037 defsubr (&Sbessel_yn);
|
|
|
1038 defsubr (&Sbessel_j0);
|
|
|
1039 defsubr (&Sbessel_j1);
|
|
|
1040 defsubr (&Sbessel_jn);
|
|
|
1041 #endif /* 0 */
|
|
|
1042
|
|
|
1043 /* Error functions. */
|
|
|
1044
|
|
|
1045 #if 0
|
|
|
1046 defsubr (&Serf);
|
|
|
1047 defsubr (&Serfc);
|
|
|
1048 defsubr (&Slog_gamma);
|
|
|
1049 #endif /* 0 */
|
|
|
1050
|
|
|
1051 /* Root and Log functions. */
|
|
|
1052
|
|
|
1053 #ifdef LISP_FLOAT_TYPE
|
|
|
1054 defsubr (&Sexp);
|
|
|
1055 #endif /* LISP_FLOAT_TYPE */
|
|
|
1056 defsubr (&Sexpt);
|
|
|
1057 #ifdef LISP_FLOAT_TYPE
|
|
|
1058 defsubr (&Slog);
|
|
|
1059 defsubr (&Slog10);
|
|
|
1060 defsubr (&Ssqrt);
|
|
|
1061 defsubr (&Scube_root);
|
|
|
1062 #endif /* LISP_FLOAT_TYPE */
|
|
|
1063
|
|
|
1064 /* Inverse trig functions. */
|
|
|
1065
|
|
|
1066 #ifdef LISP_FLOAT_TYPE
|
|
|
1067 defsubr (&Sacosh);
|
|
|
1068 defsubr (&Sasinh);
|
|
|
1069 defsubr (&Satanh);
|
|
|
1070 defsubr (&Scosh);
|
|
|
1071 defsubr (&Ssinh);
|
|
|
1072 defsubr (&Stanh);
|
|
|
1073 #endif /* LISP_FLOAT_TYPE */
|
|
|
1074
|
|
|
1075 /* Rounding functions */
|
|
|
1076
|
|
|
1077 defsubr (&Sabs);
|
|
|
1078 #ifdef LISP_FLOAT_TYPE
|
|
|
1079 defsubr (&Sfloat);
|
|
|
1080 defsubr (&Slogb);
|
|
|
1081 #endif /* LISP_FLOAT_TYPE */
|
|
|
1082 defsubr (&Sceiling);
|
|
|
1083 defsubr (&Sfloor);
|
|
|
1084 defsubr (&Sround);
|
|
|
1085 defsubr (&Struncate);
|
|
|
1086
|
|
|
1087 /* Float-rounding functions. */
|
|
|
1088
|
|
|
1089 #ifdef LISP_FLOAT_TYPE
|
|
|
1090 defsubr (&Sfceiling);
|
|
|
1091 defsubr (&Sffloor);
|
|
|
1092 defsubr (&Sfround);
|
|
|
1093 defsubr (&Sftruncate);
|
|
|
1094 #endif /* LISP_FLOAT_TYPE */
|
|
|
1095 }
|
|
|
1096
|
|
|
1097 void
|
|
|
1098 vars_of_floatfns (void)
|
|
|
1099 {
|
|
|
1100 #ifdef LISP_FLOAT_TYPE
|
|
|
1101 Fprovide (intern ("lisp-float-type"));
|
|
|
1102 #endif
|
|
|
1103 }
|
