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428
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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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430
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58 /* The code uses emacs_rint, so that it works to undefine HAVE_RINT
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59 if `rint' exists but does not work right. */
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60 #ifdef HAVE_RINT
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61 #define emacs_rint rint
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62 #else
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428
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63 static double
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430
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64 emacs_rint (double x)
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428
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65 {
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66 double r = floor (x + 0.5);
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67 double diff = fabs (r - x);
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68 /* Round to even and correct for any roundoff errors. */
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69 if (diff >= 0.5 && (diff > 0.5 || r != 2.0 * floor (r / 2.0)))
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70 r += r < x ? 1.0 : -1.0;
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71 return r;
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72 }
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73 #endif
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74
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75 /* Nonzero while executing in floating point.
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76 This tells float_error what to do. */
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77 static int in_float;
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78
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79 /* If an argument is out of range for a mathematical function,
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80 here is the actual argument value to use in the error message. */
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81 static Lisp_Object float_error_arg, float_error_arg2;
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82 static CONST char *float_error_fn_name;
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83
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84 /* Evaluate the floating point expression D, recording NUM
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85 as the original argument for error messages.
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86 D is normally an assignment expression.
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87 Handle errors which may result in signals or may set errno.
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88
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89 Note that float_error may be declared to return void, so you can't
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90 just cast the zero after the colon to (SIGTYPE) to make the types
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91 check properly. */
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92 #ifdef FLOAT_CHECK_ERRNO
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93 #define IN_FLOAT(d, name, num) \
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94 do { \
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95 float_error_arg = num; \
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96 float_error_fn_name = name; \
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97 in_float = 1; errno = 0; (d); in_float = 0; \
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98 if (errno != 0) in_float_error (); \
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99 } while (0)
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100 #define IN_FLOAT2(d, name, num, num2) \
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101 do { \
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102 float_error_arg = num; \
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103 float_error_arg2 = num2; \
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104 float_error_fn_name = name; \
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105 in_float = 2; errno = 0; (d); in_float = 0; \
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106 if (errno != 0) in_float_error (); \
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107 } while (0)
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108 #else
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109 #define IN_FLOAT(d, name, num) (in_float = 1, (d), in_float = 0)
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110 #define IN_FLOAT2(d, name, num, num2) (in_float = 2, (d), in_float = 0)
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111 #endif
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112
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113
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114 #define arith_error(op,arg) \
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115 Fsignal (Qarith_error, list2 (build_string (op), arg))
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116 #define range_error(op,arg) \
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117 Fsignal (Qrange_error, list2 (build_string (op), arg))
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118 #define range_error2(op,a1,a2) \
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119 Fsignal (Qrange_error, list3 (build_string (op), a1, a2))
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120 #define domain_error(op,arg) \
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121 Fsignal (Qdomain_error, list2 (build_string (op), arg))
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122 #define domain_error2(op,a1,a2) \
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123 Fsignal (Qdomain_error, list3 (build_string (op), a1, a2))
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124
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125
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126 /* Convert float to Lisp Integer if it fits, else signal a range
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127 error using the given arguments. */
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128 static Lisp_Object
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129 float_to_int (double x, CONST char *name, Lisp_Object num, Lisp_Object num2)
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130 {
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131 if (x >= ((EMACS_INT) 1 << (VALBITS-1))
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132 || x <= - ((EMACS_INT) 1 << (VALBITS-1)) - (EMACS_INT) 1)
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133 {
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134 if (!UNBOUNDP (num2))
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135 range_error2 (name, num, num2);
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136 else
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137 range_error (name, num);
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138 }
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139 return (make_int ((EMACS_INT) x));
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140 }
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141
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142
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143 static void
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144 in_float_error (void)
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145 {
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146 switch (errno)
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147 {
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148 case 0:
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149 break;
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150 case EDOM:
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151 if (in_float == 2)
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152 domain_error2 (float_error_fn_name, float_error_arg, float_error_arg2);
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153 else
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154 domain_error (float_error_fn_name, float_error_arg);
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155 break;
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156 case ERANGE:
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157 range_error (float_error_fn_name, float_error_arg);
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158 break;
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159 default:
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160 arith_error (float_error_fn_name, float_error_arg);
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161 break;
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162 }
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163 }
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164
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165
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166 static Lisp_Object
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167 mark_float (Lisp_Object obj)
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168 {
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169 return Qnil;
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170 }
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171
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172 static int
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173 float_equal (Lisp_Object obj1, Lisp_Object obj2, int depth)
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174 {
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175 return (extract_float (obj1) == extract_float (obj2));
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176 }
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177
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178 static unsigned long
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179 float_hash (Lisp_Object obj, int depth)
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180 {
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181 /* mod the value down to 32-bit range */
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182 /* #### change for 64-bit machines */
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183 return (unsigned long) fmod (extract_float (obj), 4e9);
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184 }
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185
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186 static const struct lrecord_description float_description[] = {
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187 { XD_END }
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188 };
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189
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190 DEFINE_BASIC_LRECORD_IMPLEMENTATION ("float", float,
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191 mark_float, print_float, 0, float_equal,
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192 float_hash, float_description,
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440
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193 Lisp_Float);
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428
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194
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195 /* Extract a Lisp number as a `double', or signal an error. */
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196
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197 double
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198 extract_float (Lisp_Object num)
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199 {
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200 if (FLOATP (num))
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201 return XFLOAT_DATA (num);
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202
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203 if (INTP (num))
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204 return (double) XINT (num);
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205
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206 return extract_float (wrong_type_argument (Qnumberp, num));
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207 }
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208 #endif /* LISP_FLOAT_TYPE */
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209
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210
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211 /* Trig functions. */
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212 #ifdef LISP_FLOAT_TYPE
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213
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214 DEFUN ("acos", Facos, 1, 1, 0, /*
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215 Return the inverse cosine of ARG.
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216 */
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217 (arg))
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218 {
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219 double d = extract_float (arg);
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220 #ifdef FLOAT_CHECK_DOMAIN
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221 if (d > 1.0 || d < -1.0)
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222 domain_error ("acos", arg);
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223 #endif
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224 IN_FLOAT (d = acos (d), "acos", arg);
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225 return make_float (d);
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226 }
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227
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228 DEFUN ("asin", Fasin, 1, 1, 0, /*
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229 Return the inverse sine of ARG.
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230 */
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231 (arg))
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232 {
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233 double d = extract_float (arg);
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234 #ifdef FLOAT_CHECK_DOMAIN
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235 if (d > 1.0 || d < -1.0)
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236 domain_error ("asin", arg);
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237 #endif
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238 IN_FLOAT (d = asin (d), "asin", arg);
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239 return make_float (d);
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240 }
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241
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242 DEFUN ("atan", Fatan, 1, 2, 0, /*
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243 Return the inverse tangent of ARG.
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244 */
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245 (arg1, arg2))
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246 {
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247 double d = extract_float (arg1);
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248
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249 if (NILP (arg2))
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250 IN_FLOAT (d = atan (d), "atan", arg1);
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251 else
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252 {
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253 double d2 = extract_float (arg2);
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254 #ifdef FLOAT_CHECK_DOMAIN
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255 if (d == 0.0 && d2 == 0.0)
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256 domain_error2 ("atan", arg1, arg2);
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257 #endif
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258 IN_FLOAT2 (d = atan2 (d, d2), "atan", arg1, arg2);
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259 }
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260 return make_float (d);
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261 }
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262
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263 DEFUN ("cos", Fcos, 1, 1, 0, /*
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264 Return the cosine of ARG.
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265 */
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266 (arg))
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267 {
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268 double d = extract_float (arg);
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269 IN_FLOAT (d = cos (d), "cos", arg);
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270 return make_float (d);
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271 }
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272
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273 DEFUN ("sin", Fsin, 1, 1, 0, /*
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274 Return the sine of ARG.
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275 */
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276 (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, 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 {
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288 double d = extract_float (arg);
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289 double c = cos (d);
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290 #ifdef FLOAT_CHECK_DOMAIN
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291 if (c == 0.0)
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292 domain_error ("tan", arg);
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293 #endif
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294 IN_FLOAT (d = (sin (d) / c), "tan", arg);
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295 return make_float (d);
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296 }
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297 #endif /* LISP_FLOAT_TYPE (trig functions) */
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298
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299
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300 /* Bessel functions */
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301 #if 0 /* Leave these out unless we find there's a reason for them. */
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302 /* #ifdef LISP_FLOAT_TYPE */
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303
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304 DEFUN ("bessel-j0", Fbessel_j0, 1, 1, 0, /*
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305 Return the bessel function j0 of ARG.
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306 */
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307 (arg))
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308 {
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309 double d = extract_float (arg);
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310 IN_FLOAT (d = j0 (d), "bessel-j0", arg);
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311 return make_float (d);
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312 }
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313
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314 DEFUN ("bessel-j1", Fbessel_j1, 1, 1, 0, /*
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315 Return the bessel function j1 of ARG.
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316 */
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317 (arg))
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318 {
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319 double d = extract_float (arg);
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320 IN_FLOAT (d = j1 (d), "bessel-j1", arg);
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321 return make_float (d);
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322 }
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323
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324 DEFUN ("bessel-jn", Fbessel_jn, 2, 2, 0, /*
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325 Return the order N bessel function output jn of ARG.
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326 The first arg (the order) is truncated to an integer.
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327 */
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328 (arg1, arg2))
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329 {
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330 int i1 = extract_float (arg1);
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331 double f2 = extract_float (arg2);
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332
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333 IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", arg1);
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334 return make_float (f2);
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335 }
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336
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337 DEFUN ("bessel-y0", Fbessel_y0, 1, 1, 0, /*
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338 Return the bessel function y0 of ARG.
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339 */
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340 (arg))
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341 {
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342 double d = extract_float (arg);
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343 IN_FLOAT (d = y0 (d), "bessel-y0", arg);
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344 return make_float (d);
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345 }
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346
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347 DEFUN ("bessel-y1", Fbessel_y1, 1, 1, 0, /*
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348 Return the bessel function y1 of ARG.
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349 */
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350 (arg))
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351 {
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352 double d = extract_float (arg);
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353 IN_FLOAT (d = y1 (d), "bessel-y0", arg);
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354 return make_float (d);
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355 }
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356
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357 DEFUN ("bessel-yn", Fbessel_yn, 2, 2, 0, /*
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358 Return the order N bessel function output yn of ARG.
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359 The first arg (the order) is truncated to an integer.
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360 */
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361 (arg1, arg2))
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362 {
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363 int i1 = extract_float (arg1);
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364 double f2 = extract_float (arg2);
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365
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366 IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", arg1);
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367 return make_float (f2);
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|
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368 }
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369
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370 #endif /* 0 (bessel functions) */
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371
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372 /* Error functions. */
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373 #if 0 /* Leave these out unless we see they are worth having. */
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374 /* #ifdef LISP_FLOAT_TYPE */
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375
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376 DEFUN ("erf", Ferf, 1, 1, 0, /*
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377 Return the mathematical error function of ARG.
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|
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378 */
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379 (arg))
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|
|
380 {
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381 double d = extract_float (arg);
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382 IN_FLOAT (d = erf (d), "erf", arg);
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383 return make_float (d);
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384 }
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385
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386 DEFUN ("erfc", Ferfc, 1, 1, 0, /*
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387 Return the complementary error function of ARG.
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388 */
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389 (arg))
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390 {
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391 double d = extract_float (arg);
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392 IN_FLOAT (d = erfc (d), "erfc", arg);
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393 return make_float (d);
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394 }
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395
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396 DEFUN ("log-gamma", Flog_gamma, 1, 1, 0, /*
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|
397 Return the log gamma of ARG.
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|
398 */
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|
|
399 (arg))
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|
|
400 {
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401 double d = extract_float (arg);
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402 IN_FLOAT (d = lgamma (d), "log-gamma", arg);
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403 return make_float (d);
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|
|
404 }
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405
|
|
|
406 #endif /* 0 (error functions) */
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|
|
407
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|
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408
|
|
|
409 /* Root and Log functions. */
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410
|
|
|
411 #ifdef LISP_FLOAT_TYPE
|
|
|
412 DEFUN ("exp", Fexp, 1, 1, 0, /*
|
|
|
413 Return the exponential base e of ARG.
|
|
|
414 */
|
|
|
415 (arg))
|
|
|
416 {
|
|
|
417 double d = extract_float (arg);
|
|
|
418 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
419 if (d > 709.7827) /* Assume IEEE doubles here */
|
|
|
420 range_error ("exp", arg);
|
|
|
421 else if (d < -709.0)
|
|
|
422 return make_float (0.0);
|
|
|
423 else
|
|
|
424 #endif
|
|
|
425 IN_FLOAT (d = exp (d), "exp", arg);
|
|
|
426 return make_float (d);
|
|
|
427 }
|
|
|
428 #endif /* LISP_FLOAT_TYPE */
|
|
|
429
|
|
|
430
|
|
|
431 DEFUN ("expt", Fexpt, 2, 2, 0, /*
|
|
|
432 Return the exponential ARG1 ** ARG2.
|
|
|
433 */
|
|
|
434 (arg1, arg2))
|
|
|
435 {
|
|
|
436 if (INTP (arg1) && /* common lisp spec */
|
|
|
437 INTP (arg2)) /* don't promote, if both are ints */
|
|
|
438 {
|
|
|
439 EMACS_INT retval;
|
|
|
440 EMACS_INT x = XINT (arg1);
|
|
|
441 EMACS_INT y = XINT (arg2);
|
|
|
442
|
|
|
443 if (y < 0)
|
|
|
444 {
|
|
|
445 if (x == 1)
|
|
|
446 retval = 1;
|
|
|
447 else if (x == -1)
|
|
|
448 retval = (y & 1) ? -1 : 1;
|
|
|
449 else
|
|
|
450 retval = 0;
|
|
|
451 }
|
|
|
452 else
|
|
|
453 {
|
|
|
454 retval = 1;
|
|
|
455 while (y > 0)
|
|
|
456 {
|
|
|
457 if (y & 1)
|
|
|
458 retval *= x;
|
|
|
459 x *= x;
|
|
|
460 y = (EMACS_UINT) y >> 1;
|
|
|
461 }
|
|
|
462 }
|
|
|
463 return make_int (retval);
|
|
|
464 }
|
|
|
465
|
|
|
466 #ifdef LISP_FLOAT_TYPE
|
|
|
467 {
|
|
|
468 double f1 = extract_float (arg1);
|
|
|
469 double f2 = extract_float (arg2);
|
|
|
470 /* Really should check for overflow, too */
|
|
|
471 if (f1 == 0.0 && f2 == 0.0)
|
|
|
472 f1 = 1.0;
|
|
|
473 # ifdef FLOAT_CHECK_DOMAIN
|
|
|
474 else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2)))
|
|
|
475 domain_error2 ("expt", arg1, arg2);
|
|
|
476 # endif /* FLOAT_CHECK_DOMAIN */
|
|
|
477 IN_FLOAT2 (f1 = pow (f1, f2), "expt", arg1, arg2);
|
|
|
478 return make_float (f1);
|
|
|
479 }
|
|
|
480 #else
|
|
|
481 CHECK_INT_OR_FLOAT (arg1);
|
|
|
482 CHECK_INT_OR_FLOAT (arg2);
|
|
|
483 return Fexpt (arg1, arg2);
|
|
|
484 #endif /* LISP_FLOAT_TYPE */
|
|
|
485 }
|
|
|
486
|
|
|
487 #ifdef LISP_FLOAT_TYPE
|
|
|
488 DEFUN ("log", Flog, 1, 2, 0, /*
|
|
|
489 Return the natural logarithm of ARG.
|
|
|
490 If second optional argument BASE is given, return log ARG using that base.
|
|
|
491 */
|
|
|
492 (arg, base))
|
|
|
493 {
|
|
|
494 double d = extract_float (arg);
|
|
|
495 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
496 if (d <= 0.0)
|
|
|
497 domain_error2 ("log", arg, base);
|
|
|
498 #endif
|
|
|
499 if (NILP (base))
|
|
|
500 IN_FLOAT (d = log (d), "log", arg);
|
|
|
501 else
|
|
|
502 {
|
|
|
503 double b = extract_float (base);
|
|
|
504 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
505 if (b <= 0.0 || b == 1.0)
|
|
|
506 domain_error2 ("log", arg, base);
|
|
|
507 #endif
|
|
|
508 if (b == 10.0)
|
|
|
509 IN_FLOAT2 (d = log10 (d), "log", arg, base);
|
|
|
510 else
|
|
|
511 IN_FLOAT2 (d = (log (d) / log (b)), "log", arg, base);
|
|
|
512 }
|
|
|
513 return make_float (d);
|
|
|
514 }
|
|
|
515
|
|
|
516
|
|
|
517 DEFUN ("log10", Flog10, 1, 1, 0, /*
|
|
|
518 Return the logarithm base 10 of ARG.
|
|
|
519 */
|
|
|
520 (arg))
|
|
|
521 {
|
|
|
522 double d = extract_float (arg);
|
|
|
523 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
524 if (d <= 0.0)
|
|
|
525 domain_error ("log10", arg);
|
|
|
526 #endif
|
|
|
527 IN_FLOAT (d = log10 (d), "log10", arg);
|
|
|
528 return make_float (d);
|
|
|
529 }
|
|
|
530
|
|
|
531
|
|
|
532 DEFUN ("sqrt", Fsqrt, 1, 1, 0, /*
|
|
|
533 Return the square root of ARG.
|
|
|
534 */
|
|
|
535 (arg))
|
|
|
536 {
|
|
|
537 double d = extract_float (arg);
|
|
|
538 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
539 if (d < 0.0)
|
|
|
540 domain_error ("sqrt", arg);
|
|
|
541 #endif
|
|
|
542 IN_FLOAT (d = sqrt (d), "sqrt", arg);
|
|
|
543 return make_float (d);
|
|
|
544 }
|
|
|
545
|
|
|
546
|
|
|
547 DEFUN ("cube-root", Fcube_root, 1, 1, 0, /*
|
|
|
548 Return the cube root of ARG.
|
|
|
549 */
|
|
|
550 (arg))
|
|
|
551 {
|
|
|
552 double d = extract_float (arg);
|
|
|
553 #ifdef HAVE_CBRT
|
|
|
554 IN_FLOAT (d = cbrt (d), "cube-root", arg);
|
|
|
555 #else
|
|
|
556 if (d >= 0.0)
|
|
|
557 IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg);
|
|
|
558 else
|
|
|
559 IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg);
|
|
|
560 #endif
|
|
|
561 return make_float (d);
|
|
|
562 }
|
|
|
563 #endif /* LISP_FLOAT_TYPE */
|
|
|
564
|
|
|
565
|
|
|
566 /* Inverse trig functions. */
|
|
|
567 #ifdef LISP_FLOAT_TYPE
|
|
|
568 /* #if 0 Not clearly worth adding... */
|
|
|
569
|
|
|
570 DEFUN ("acosh", Facosh, 1, 1, 0, /*
|
|
|
571 Return the inverse hyperbolic cosine of ARG.
|
|
|
572 */
|
|
|
573 (arg))
|
|
|
574 {
|
|
|
575 double d = extract_float (arg);
|
|
|
576 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
577 if (d < 1.0)
|
|
|
578 domain_error ("acosh", arg);
|
|
|
579 #endif
|
|
|
580 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
581 IN_FLOAT (d = acosh (d), "acosh", arg);
|
|
|
582 #else
|
|
|
583 IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg);
|
|
|
584 #endif
|
|
|
585 return make_float (d);
|
|
|
586 }
|
|
|
587
|
|
|
588 DEFUN ("asinh", Fasinh, 1, 1, 0, /*
|
|
|
589 Return the inverse hyperbolic sine of ARG.
|
|
|
590 */
|
|
|
591 (arg))
|
|
|
592 {
|
|
|
593 double d = extract_float (arg);
|
|
|
594 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
595 IN_FLOAT (d = asinh (d), "asinh", arg);
|
|
|
596 #else
|
|
|
597 IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg);
|
|
|
598 #endif
|
|
|
599 return make_float (d);
|
|
|
600 }
|
|
|
601
|
|
|
602 DEFUN ("atanh", Fatanh, 1, 1, 0, /*
|
|
|
603 Return the inverse hyperbolic tangent of ARG.
|
|
|
604 */
|
|
|
605 (arg))
|
|
|
606 {
|
|
|
607 double d = extract_float (arg);
|
|
|
608 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
609 if (d >= 1.0 || d <= -1.0)
|
|
|
610 domain_error ("atanh", arg);
|
|
|
611 #endif
|
|
|
612 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
613 IN_FLOAT (d = atanh (d), "atanh", arg);
|
|
|
614 #else
|
|
|
615 IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg);
|
|
|
616 #endif
|
|
|
617 return make_float (d);
|
|
|
618 }
|
|
|
619
|
|
|
620 DEFUN ("cosh", Fcosh, 1, 1, 0, /*
|
|
|
621 Return the hyperbolic cosine of ARG.
|
|
|
622 */
|
|
|
623 (arg))
|
|
|
624 {
|
|
|
625 double d = extract_float (arg);
|
|
|
626 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
627 if (d > 710.0 || d < -710.0)
|
|
|
628 range_error ("cosh", arg);
|
|
|
629 #endif
|
|
|
630 IN_FLOAT (d = cosh (d), "cosh", arg);
|
|
|
631 return make_float (d);
|
|
|
632 }
|
|
|
633
|
|
|
634 DEFUN ("sinh", Fsinh, 1, 1, 0, /*
|
|
|
635 Return the hyperbolic sine of ARG.
|
|
|
636 */
|
|
|
637 (arg))
|
|
|
638 {
|
|
|
639 double d = extract_float (arg);
|
|
|
640 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
641 if (d > 710.0 || d < -710.0)
|
|
|
642 range_error ("sinh", arg);
|
|
|
643 #endif
|
|
|
644 IN_FLOAT (d = sinh (d), "sinh", arg);
|
|
|
645 return make_float (d);
|
|
|
646 }
|
|
|
647
|
|
|
648 DEFUN ("tanh", Ftanh, 1, 1, 0, /*
|
|
|
649 Return the hyperbolic tangent of ARG.
|
|
|
650 */
|
|
|
651 (arg))
|
|
|
652 {
|
|
|
653 double d = extract_float (arg);
|
|
|
654 IN_FLOAT (d = tanh (d), "tanh", arg);
|
|
|
655 return make_float (d);
|
|
|
656 }
|
|
|
657 #endif /* LISP_FLOAT_TYPE (inverse trig functions) */
|
|
|
658
|
|
|
659 /* Rounding functions */
|
|
|
660
|
|
|
661 DEFUN ("abs", Fabs, 1, 1, 0, /*
|
|
|
662 Return the absolute value of ARG.
|
|
|
663 */
|
|
|
664 (arg))
|
|
|
665 {
|
|
|
666 #ifdef LISP_FLOAT_TYPE
|
|
|
667 if (FLOATP (arg))
|
|
|
668 {
|
|
|
669 IN_FLOAT (arg = make_float (fabs (XFLOAT_DATA (arg))),
|
|
|
670 "abs", arg);
|
|
|
671 return arg;
|
|
|
672 }
|
|
|
673 #endif /* LISP_FLOAT_TYPE */
|
|
|
674
|
|
|
675 if (INTP (arg))
|
|
|
676 return (XINT (arg) >= 0) ? arg : make_int (- XINT (arg));
|
|
|
677
|
|
|
678 return Fabs (wrong_type_argument (Qnumberp, arg));
|
|
|
679 }
|
|
|
680
|
|
|
681 #ifdef LISP_FLOAT_TYPE
|
|
|
682 DEFUN ("float", Ffloat, 1, 1, 0, /*
|
|
|
683 Return the floating point number numerically equal to ARG.
|
|
|
684 */
|
|
|
685 (arg))
|
|
|
686 {
|
|
|
687 if (INTP (arg))
|
|
|
688 return make_float ((double) XINT (arg));
|
|
|
689
|
|
|
690 if (FLOATP (arg)) /* give 'em the same float back */
|
|
|
691 return arg;
|
|
|
692
|
|
|
693 return Ffloat (wrong_type_argument (Qnumberp, arg));
|
|
|
694 }
|
|
|
695 #endif /* LISP_FLOAT_TYPE */
|
|
|
696
|
|
|
697
|
|
|
698 #ifdef LISP_FLOAT_TYPE
|
|
|
699 DEFUN ("logb", Flogb, 1, 1, 0, /*
|
|
|
700 Return largest integer <= the base 2 log of the magnitude of ARG.
|
|
|
701 This is the same as the exponent of a float.
|
|
|
702 */
|
|
|
703 (arg))
|
|
|
704 {
|
|
|
705 double f = extract_float (arg);
|
|
|
706
|
|
|
707 if (f == 0.0)
|
|
434
|
708 return make_int (- (EMACS_INT)(((EMACS_UINT) 1) << (VALBITS - 1))); /* most-negative-fixnum */
|
|
428
|
709 #ifdef HAVE_LOGB
|
|
|
710 {
|
|
|
711 Lisp_Object val;
|
|
434
|
712 IN_FLOAT (val = make_int ((EMACS_INT) logb (f)), "logb", arg);
|
|
|
713 return val;
|
|
428
|
714 }
|
|
|
715 #else
|
|
|
716 #ifdef HAVE_FREXP
|
|
|
717 {
|
|
|
718 int exqp;
|
|
|
719 IN_FLOAT (frexp (f, &exqp), "logb", arg);
|
|
434
|
720 return make_int (exqp - 1);
|
|
428
|
721 }
|
|
|
722 #else
|
|
|
723 {
|
|
|
724 int i;
|
|
|
725 double d;
|
|
|
726 EMACS_INT val;
|
|
|
727 if (f < 0.0)
|
|
|
728 f = -f;
|
|
|
729 val = -1;
|
|
|
730 while (f < 0.5)
|
|
|
731 {
|
|
|
732 for (i = 1, d = 0.5; d * d >= f; i += i)
|
|
|
733 d *= d;
|
|
|
734 f /= d;
|
|
|
735 val -= i;
|
|
|
736 }
|
|
|
737 while (f >= 1.0)
|
|
|
738 {
|
|
|
739 for (i = 1, d = 2.0; d * d <= f; i += i)
|
|
|
740 d *= d;
|
|
|
741 f /= d;
|
|
|
742 val += i;
|
|
|
743 }
|
|
434
|
744 return make_int (val);
|
|
428
|
745 }
|
|
|
746 #endif /* ! HAVE_FREXP */
|
|
|
747 #endif /* ! HAVE_LOGB */
|
|
|
748 }
|
|
|
749 #endif /* LISP_FLOAT_TYPE */
|
|
|
750
|
|
|
751
|
|
|
752 DEFUN ("ceiling", Fceiling, 1, 1, 0, /*
|
|
|
753 Return the smallest integer no less than ARG. (Round toward +inf.)
|
|
|
754 */
|
|
|
755 (arg))
|
|
|
756 {
|
|
|
757 #ifdef LISP_FLOAT_TYPE
|
|
|
758 if (FLOATP (arg))
|
|
|
759 {
|
|
|
760 double d;
|
|
|
761 IN_FLOAT ((d = ceil (XFLOAT_DATA (arg))), "ceiling", arg);
|
|
|
762 return (float_to_int (d, "ceiling", arg, Qunbound));
|
|
|
763 }
|
|
|
764 #endif /* LISP_FLOAT_TYPE */
|
|
|
765
|
|
|
766 if (INTP (arg))
|
|
|
767 return arg;
|
|
|
768
|
|
|
769 return Fceiling (wrong_type_argument (Qnumberp, arg));
|
|
|
770 }
|
|
|
771
|
|
|
772
|
|
|
773 DEFUN ("floor", Ffloor, 1, 2, 0, /*
|
|
|
774 Return the largest integer no greater than ARG. (Round towards -inf.)
|
|
|
775 With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR.
|
|
|
776 */
|
|
|
777 (arg, divisor))
|
|
|
778 {
|
|
|
779 CHECK_INT_OR_FLOAT (arg);
|
|
|
780
|
|
|
781 if (! NILP (divisor))
|
|
|
782 {
|
|
|
783 EMACS_INT i1, i2;
|
|
|
784
|
|
|
785 CHECK_INT_OR_FLOAT (divisor);
|
|
|
786
|
|
|
787 #ifdef LISP_FLOAT_TYPE
|
|
|
788 if (FLOATP (arg) || FLOATP (divisor))
|
|
|
789 {
|
|
|
790 double f1 = extract_float (arg);
|
|
|
791 double f2 = extract_float (divisor);
|
|
|
792
|
|
|
793 if (f2 == 0)
|
|
|
794 Fsignal (Qarith_error, Qnil);
|
|
|
795
|
|
|
796 IN_FLOAT2 (f1 = floor (f1 / f2), "floor", arg, divisor);
|
|
|
797 return float_to_int (f1, "floor", arg, divisor);
|
|
|
798 }
|
|
|
799 #endif /* LISP_FLOAT_TYPE */
|
|
|
800
|
|
|
801 i1 = XINT (arg);
|
|
|
802 i2 = XINT (divisor);
|
|
|
803
|
|
|
804 if (i2 == 0)
|
|
|
805 Fsignal (Qarith_error, Qnil);
|
|
|
806
|
|
|
807 /* With C's /, the result is implementation-defined if either operand
|
|
|
808 is negative, so use only nonnegative operands. */
|
|
|
809 i1 = (i2 < 0
|
|
|
810 ? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2))
|
|
|
811 : (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2));
|
|
|
812
|
|
|
813 return (make_int (i1));
|
|
|
814 }
|
|
|
815
|
|
|
816 #ifdef LISP_FLOAT_TYPE
|
|
|
817 if (FLOATP (arg))
|
|
|
818 {
|
|
|
819 double d;
|
|
|
820 IN_FLOAT ((d = floor (XFLOAT_DATA (arg))), "floor", arg);
|
|
|
821 return (float_to_int (d, "floor", arg, Qunbound));
|
|
|
822 }
|
|
|
823 #endif /* LISP_FLOAT_TYPE */
|
|
|
824
|
|
|
825 return arg;
|
|
|
826 }
|
|
|
827
|
|
|
828 DEFUN ("round", Fround, 1, 1, 0, /*
|
|
|
829 Return the nearest integer to ARG.
|
|
|
830 */
|
|
|
831 (arg))
|
|
|
832 {
|
|
|
833 #ifdef LISP_FLOAT_TYPE
|
|
|
834 if (FLOATP (arg))
|
|
|
835 {
|
|
|
836 double d;
|
|
|
837 /* Screw the prevailing rounding mode. */
|
|
430
|
838 IN_FLOAT ((d = emacs_rint (XFLOAT_DATA (arg))), "round", arg);
|
|
428
|
839 return (float_to_int (d, "round", arg, Qunbound));
|
|
|
840 }
|
|
|
841 #endif /* LISP_FLOAT_TYPE */
|
|
|
842
|
|
|
843 if (INTP (arg))
|
|
|
844 return arg;
|
|
|
845
|
|
|
846 return Fround (wrong_type_argument (Qnumberp, arg));
|
|
|
847 }
|
|
|
848
|
|
|
849 DEFUN ("truncate", Ftruncate, 1, 1, 0, /*
|
|
|
850 Truncate a floating point number to an integer.
|
|
|
851 Rounds the value toward zero.
|
|
|
852 */
|
|
|
853 (arg))
|
|
|
854 {
|
|
|
855 #ifdef LISP_FLOAT_TYPE
|
|
|
856 if (FLOATP (arg))
|
|
|
857 return float_to_int (XFLOAT_DATA (arg), "truncate", arg, Qunbound);
|
|
|
858 #endif /* LISP_FLOAT_TYPE */
|
|
|
859
|
|
|
860 if (INTP (arg))
|
|
|
861 return arg;
|
|
|
862
|
|
|
863 return Ftruncate (wrong_type_argument (Qnumberp, arg));
|
|
|
864 }
|
|
|
865
|
|
|
866 /* Float-rounding functions. */
|
|
|
867 #ifdef LISP_FLOAT_TYPE
|
|
|
868 /* #if 1 It's not clear these are worth adding... */
|
|
|
869
|
|
|
870 DEFUN ("fceiling", Ffceiling, 1, 1, 0, /*
|
|
|
871 Return the smallest integer no less than ARG, as a float.
|
|
|
872 \(Round toward +inf.\)
|
|
|
873 */
|
|
|
874 (arg))
|
|
|
875 {
|
|
|
876 double d = extract_float (arg);
|
|
|
877 IN_FLOAT (d = ceil (d), "fceiling", arg);
|
|
|
878 return make_float (d);
|
|
|
879 }
|
|
|
880
|
|
|
881 DEFUN ("ffloor", Fffloor, 1, 1, 0, /*
|
|
|
882 Return the largest integer no greater than ARG, as a float.
|
|
|
883 \(Round towards -inf.\)
|
|
|
884 */
|
|
|
885 (arg))
|
|
|
886 {
|
|
|
887 double d = extract_float (arg);
|
|
|
888 IN_FLOAT (d = floor (d), "ffloor", arg);
|
|
|
889 return make_float (d);
|
|
|
890 }
|
|
|
891
|
|
|
892 DEFUN ("fround", Ffround, 1, 1, 0, /*
|
|
|
893 Return the nearest integer to ARG, as a float.
|
|
|
894 */
|
|
|
895 (arg))
|
|
|
896 {
|
|
|
897 double d = extract_float (arg);
|
|
430
|
898 IN_FLOAT (d = emacs_rint (d), "fround", arg);
|
|
428
|
899 return make_float (d);
|
|
|
900 }
|
|
|
901
|
|
|
902 DEFUN ("ftruncate", Fftruncate, 1, 1, 0, /*
|
|
|
903 Truncate a floating point number to an integral float value.
|
|
|
904 Rounds the value toward zero.
|
|
|
905 */
|
|
|
906 (arg))
|
|
|
907 {
|
|
|
908 double d = extract_float (arg);
|
|
|
909 if (d >= 0.0)
|
|
|
910 IN_FLOAT (d = floor (d), "ftruncate", arg);
|
|
|
911 else
|
|
|
912 IN_FLOAT (d = ceil (d), "ftruncate", arg);
|
|
|
913 return make_float (d);
|
|
|
914 }
|
|
|
915
|
|
|
916 #endif /* LISP_FLOAT_TYPE (float-rounding functions) */
|
|
|
917
|
|
|
918
|
|
|
919 #ifdef LISP_FLOAT_TYPE
|
|
|
920 #ifdef FLOAT_CATCH_SIGILL
|
|
|
921 static SIGTYPE
|
|
|
922 float_error (int signo)
|
|
|
923 {
|
|
|
924 if (! in_float)
|
|
|
925 fatal_error_signal (signo);
|
|
|
926
|
|
|
927 EMACS_REESTABLISH_SIGNAL (signo, arith_error);
|
|
|
928 EMACS_UNBLOCK_SIGNAL (signo);
|
|
|
929
|
|
|
930 in_float = 0;
|
|
|
931
|
|
|
932 /* Was Fsignal(), but it just doesn't make sense for an error
|
|
|
933 occurring inside a signal handler to be restartable, considering
|
|
|
934 that anything could happen when the error is signaled and trapped
|
|
|
935 and considering the asynchronous nature of signal handlers. */
|
|
|
936 signal_error (Qarith_error, list1 (float_error_arg));
|
|
|
937 }
|
|
|
938
|
|
|
939 /* Another idea was to replace the library function `infnan'
|
|
|
940 where SIGILL is signaled. */
|
|
|
941
|
|
|
942 #endif /* FLOAT_CATCH_SIGILL */
|
|
|
943
|
|
|
944 /* In C++, it is impossible to determine what type matherr expects
|
|
|
945 without some more configure magic.
|
|
|
946 We shouldn't be using matherr anyways - it's a non-standard SYSVism. */
|
|
|
947 #if defined (HAVE_MATHERR) && !defined(__cplusplus)
|
|
|
948 int
|
|
|
949 matherr (struct exception *x)
|
|
|
950 {
|
|
|
951 Lisp_Object args;
|
|
|
952 if (! in_float)
|
|
|
953 /* Not called from emacs-lisp float routines; do the default thing. */
|
|
|
954 return 0;
|
|
|
955
|
|
|
956 /* if (!strcmp (x->name, "pow")) x->name = "expt"; */
|
|
|
957
|
|
|
958 args = Fcons (build_string (x->name),
|
|
|
959 Fcons (make_float (x->arg1),
|
|
|
960 ((in_float == 2)
|
|
|
961 ? Fcons (make_float (x->arg2), Qnil)
|
|
|
962 : Qnil)));
|
|
|
963 switch (x->type)
|
|
|
964 {
|
|
|
965 case DOMAIN: Fsignal (Qdomain_error, args); break;
|
|
|
966 case SING: Fsignal (Qsingularity_error, args); break;
|
|
|
967 case OVERFLOW: Fsignal (Qoverflow_error, args); break;
|
|
|
968 case UNDERFLOW: Fsignal (Qunderflow_error, args); break;
|
|
|
969 default: Fsignal (Qarith_error, args); break;
|
|
|
970 }
|
|
|
971 return 1; /* don't set errno or print a message */
|
|
|
972 }
|
|
|
973 #endif /* HAVE_MATHERR */
|
|
|
974 #endif /* LISP_FLOAT_TYPE */
|
|
|
975
|
|
|
976
|
|
|
977 void
|
|
|
978 init_floatfns_very_early (void)
|
|
|
979 {
|
|
|
980 #ifdef LISP_FLOAT_TYPE
|
|
|
981 # ifdef FLOAT_CATCH_SIGILL
|
|
|
982 signal (SIGILL, float_error);
|
|
|
983 # endif
|
|
|
984 in_float = 0;
|
|
|
985 #endif /* LISP_FLOAT_TYPE */
|
|
|
986 }
|
|
|
987
|
|
|
988 void
|
|
|
989 syms_of_floatfns (void)
|
|
|
990 {
|
|
|
991
|
|
|
992 /* Trig functions. */
|
|
|
993
|
|
|
994 #ifdef LISP_FLOAT_TYPE
|
|
|
995 DEFSUBR (Facos);
|
|
|
996 DEFSUBR (Fasin);
|
|
|
997 DEFSUBR (Fatan);
|
|
|
998 DEFSUBR (Fcos);
|
|
|
999 DEFSUBR (Fsin);
|
|
|
1000 DEFSUBR (Ftan);
|
|
|
1001 #endif /* LISP_FLOAT_TYPE */
|
|
|
1002
|
|
|
1003 /* Bessel functions */
|
|
|
1004
|
|
|
1005 #if 0
|
|
|
1006 DEFSUBR (Fbessel_y0);
|
|
|
1007 DEFSUBR (Fbessel_y1);
|
|
|
1008 DEFSUBR (Fbessel_yn);
|
|
|
1009 DEFSUBR (Fbessel_j0);
|
|
|
1010 DEFSUBR (Fbessel_j1);
|
|
|
1011 DEFSUBR (Fbessel_jn);
|
|
|
1012 #endif /* 0 */
|
|
|
1013
|
|
|
1014 /* Error functions. */
|
|
|
1015
|
|
|
1016 #if 0
|
|
|
1017 DEFSUBR (Ferf);
|
|
|
1018 DEFSUBR (Ferfc);
|
|
|
1019 DEFSUBR (Flog_gamma);
|
|
|
1020 #endif /* 0 */
|
|
|
1021
|
|
|
1022 /* Root and Log functions. */
|
|
|
1023
|
|
|
1024 #ifdef LISP_FLOAT_TYPE
|
|
|
1025 DEFSUBR (Fexp);
|
|
|
1026 #endif /* LISP_FLOAT_TYPE */
|
|
|
1027 DEFSUBR (Fexpt);
|
|
|
1028 #ifdef LISP_FLOAT_TYPE
|
|
|
1029 DEFSUBR (Flog);
|
|
|
1030 DEFSUBR (Flog10);
|
|
|
1031 DEFSUBR (Fsqrt);
|
|
|
1032 DEFSUBR (Fcube_root);
|
|
|
1033 #endif /* LISP_FLOAT_TYPE */
|
|
|
1034
|
|
|
1035 /* Inverse trig functions. */
|
|
|
1036
|
|
|
1037 #ifdef LISP_FLOAT_TYPE
|
|
|
1038 DEFSUBR (Facosh);
|
|
|
1039 DEFSUBR (Fasinh);
|
|
|
1040 DEFSUBR (Fatanh);
|
|
|
1041 DEFSUBR (Fcosh);
|
|
|
1042 DEFSUBR (Fsinh);
|
|
|
1043 DEFSUBR (Ftanh);
|
|
|
1044 #endif /* LISP_FLOAT_TYPE */
|
|
|
1045
|
|
|
1046 /* Rounding functions */
|
|
|
1047
|
|
|
1048 DEFSUBR (Fabs);
|
|
|
1049 #ifdef LISP_FLOAT_TYPE
|
|
|
1050 DEFSUBR (Ffloat);
|
|
|
1051 DEFSUBR (Flogb);
|
|
|
1052 #endif /* LISP_FLOAT_TYPE */
|
|
|
1053 DEFSUBR (Fceiling);
|
|
|
1054 DEFSUBR (Ffloor);
|
|
|
1055 DEFSUBR (Fround);
|
|
|
1056 DEFSUBR (Ftruncate);
|
|
|
1057
|
|
|
1058 /* Float-rounding functions. */
|
|
|
1059
|
|
|
1060 #ifdef LISP_FLOAT_TYPE
|
|
|
1061 DEFSUBR (Ffceiling);
|
|
|
1062 DEFSUBR (Fffloor);
|
|
|
1063 DEFSUBR (Ffround);
|
|
|
1064 DEFSUBR (Fftruncate);
|
|
|
1065 #endif /* LISP_FLOAT_TYPE */
|
|
|
1066 }
|
|
|
1067
|
|
|
1068 void
|
|
|
1069 vars_of_floatfns (void)
|
|
|
1070 {
|
|
|
1071 #ifdef LISP_FLOAT_TYPE
|
|
|
1072 Fprovide (intern ("lisp-float-type"));
|
|
|
1073 #endif
|
|
|
1074 }
|
