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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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185
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122 /* Convert float to Lisp Integer if it fits, else signal a range
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123 error using the given arguments. */
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0
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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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185
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144 case 0:
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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 static Lisp_Object
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163 mark_float (Lisp_Object obj, void (*markobj) (Lisp_Object))
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164 {
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380
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165 return Qnil;
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0
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166 }
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167
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168 static int
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380
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169 float_equal (Lisp_Object obj1, Lisp_Object obj2, int depth)
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0
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170 {
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380
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171 return (extract_float (obj1) == extract_float (obj2));
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0
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172 }
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173
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174 static unsigned long
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175 float_hash (Lisp_Object obj, int depth)
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176 {
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177 /* mod the value down to 32-bit range */
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178 /* #### change for 64-bit machines */
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179 return (unsigned long) fmod (extract_float (obj), 4e9);
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180 }
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181
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272
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182 DEFINE_BASIC_LRECORD_IMPLEMENTATION ("float", float,
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183 mark_float, print_float, 0, float_equal,
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184 float_hash, struct Lisp_Float);
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0
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185
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186 /* Extract a Lisp number as a `double', or signal an error. */
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187
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188 double
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189 extract_float (Lisp_Object num)
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190 {
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380
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191 if (FLOATP (num))
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192 return XFLOAT_DATA (num);
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0
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193
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380
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194 if (INTP (num))
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195 return (double) XINT (num);
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196
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197 return extract_float (wrong_type_argument (num, Qnumberp));
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0
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198 }
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199 #endif /* LISP_FLOAT_TYPE */
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200
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201
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202 /* Trig functions. */
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203 #ifdef LISP_FLOAT_TYPE
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204
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20
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205 DEFUN ("acos", Facos, 1, 1, 0, /*
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0
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206 Return the inverse cosine of ARG.
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20
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207 */
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208 (arg))
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0
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209 {
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210 double d = extract_float (arg);
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211 #ifdef FLOAT_CHECK_DOMAIN
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212 if (d > 1.0 || d < -1.0)
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213 domain_error ("acos", arg);
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214 #endif
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215 IN_FLOAT (d = acos (d), "acos", arg);
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216 return make_float (d);
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217 }
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218
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20
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219 DEFUN ("asin", Fasin, 1, 1, 0, /*
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0
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220 Return the inverse sine of ARG.
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20
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221 */
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222 (arg))
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0
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223 {
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224 double d = extract_float (arg);
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225 #ifdef FLOAT_CHECK_DOMAIN
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226 if (d > 1.0 || d < -1.0)
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227 domain_error ("asin", arg);
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228 #endif
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229 IN_FLOAT (d = asin (d), "asin", arg);
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230 return make_float (d);
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231 }
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232
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20
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233 DEFUN ("atan", Fatan, 1, 2, 0, /*
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0
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234 Return the inverse tangent of ARG.
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20
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235 */
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236 (arg1, arg2))
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0
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237 {
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238 double d = extract_float (arg1);
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239
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240 if (NILP (arg2))
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241 IN_FLOAT (d = atan (d), "atan", arg1);
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242 else
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243 {
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244 double d2 = extract_float (arg2);
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245 #ifdef FLOAT_CHECK_DOMAIN
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246 if (d == 0.0 && d2 == 0.0)
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247 domain_error2 ("atan", arg1, arg2);
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248 #endif
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249 IN_FLOAT2 (d = atan2 (d, d2), "atan", arg1, arg2);
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250 }
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251 return make_float (d);
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252 }
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253
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20
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254 DEFUN ("cos", Fcos, 1, 1, 0, /*
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0
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255 Return the cosine of ARG.
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20
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256 */
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257 (arg))
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0
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258 {
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259 double d = extract_float (arg);
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260 IN_FLOAT (d = cos (d), "cos", arg);
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261 return make_float (d);
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262 }
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263
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20
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264 DEFUN ("sin", Fsin, 1, 1, 0, /*
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0
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265 Return the sine of ARG.
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20
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266 */
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267 (arg))
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0
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268 {
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269 double d = extract_float (arg);
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270 IN_FLOAT (d = sin (d), "sin", arg);
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271 return make_float (d);
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272 }
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273
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20
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274 DEFUN ("tan", Ftan, 1, 1, 0, /*
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0
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275 Return the tangent of ARG.
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20
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276 */
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277 (arg))
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0
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278 {
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279 double d = extract_float (arg);
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280 double c = cos (d);
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281 #ifdef FLOAT_CHECK_DOMAIN
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282 if (c == 0.0)
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283 domain_error ("tan", arg);
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284 #endif
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285 IN_FLOAT (d = (sin (d) / c), "tan", arg);
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286 return make_float (d);
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287 }
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288 #endif /* LISP_FLOAT_TYPE (trig functions) */
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289
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290
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291 /* Bessel functions */
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292 #if 0 /* Leave these out unless we find there's a reason for them. */
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293 /* #ifdef LISP_FLOAT_TYPE */
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294
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20
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295 DEFUN ("bessel-j0", Fbessel_j0, 1, 1, 0, /*
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0
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296 Return the bessel function j0 of ARG.
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20
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297 */
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298 (arg))
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0
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299 {
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300 double d = extract_float (arg);
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301 IN_FLOAT (d = j0 (d), "bessel-j0", arg);
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302 return make_float (d);
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303 }
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304
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20
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305 DEFUN ("bessel-j1", Fbessel_j1, 1, 1, 0, /*
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0
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306 Return the bessel function j1 of ARG.
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20
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307 */
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308 (arg))
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0
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309 {
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310 double d = extract_float (arg);
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311 IN_FLOAT (d = j1 (d), "bessel-j1", arg);
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312 return make_float (d);
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313 }
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314
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20
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315 DEFUN ("bessel-jn", Fbessel_jn, 2, 2, 0, /*
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0
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316 Return the order N bessel function output jn of ARG.
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317 The first arg (the order) is truncated to an integer.
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20
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318 */
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319 (arg1, arg2))
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0
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320 {
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321 int i1 = extract_float (arg1);
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322 double f2 = extract_float (arg2);
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323
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324 IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", arg1);
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325 return make_float (f2);
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326 }
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327
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20
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328 DEFUN ("bessel-y0", Fbessel_y0, 1, 1, 0, /*
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0
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329 Return the bessel function y0 of ARG.
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20
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330 */
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331 (arg))
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0
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332 {
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333 double d = extract_float (arg);
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334 IN_FLOAT (d = y0 (d), "bessel-y0", arg);
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335 return make_float (d);
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336 }
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337
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20
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338 DEFUN ("bessel-y1", Fbessel_y1, 1, 1, 0, /*
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0
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339 Return the bessel function y1 of ARG.
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20
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340 */
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341 (arg))
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0
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342 {
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343 double d = extract_float (arg);
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344 IN_FLOAT (d = y1 (d), "bessel-y0", arg);
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345 return make_float (d);
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346 }
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347
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20
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348 DEFUN ("bessel-yn", Fbessel_yn, 2, 2, 0, /*
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0
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349 Return the order N bessel function output yn of ARG.
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350 The first arg (the order) is truncated to an integer.
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20
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351 */
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352 (arg1, arg2))
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0
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353 {
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354 int i1 = extract_float (arg1);
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355 double f2 = extract_float (arg2);
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356
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357 IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", arg1);
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358 return make_float (f2);
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359 }
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360
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361 #endif /* 0 (bessel functions) */
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362
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363 /* Error functions. */
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364 #if 0 /* Leave these out unless we see they are worth having. */
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365 /* #ifdef LISP_FLOAT_TYPE */
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366
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20
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367 DEFUN ("erf", Ferf, 1, 1, 0, /*
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0
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368 Return the mathematical error function of ARG.
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20
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369 */
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370 (arg))
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0
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371 {
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372 double d = extract_float (arg);
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373 IN_FLOAT (d = erf (d), "erf", arg);
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374 return make_float (d);
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375 }
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376
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20
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377 DEFUN ("erfc", Ferfc, 1, 1, 0, /*
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0
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378 Return the complementary error function of ARG.
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20
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379 */
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380 (arg))
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0
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381 {
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382 double d = extract_float (arg);
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383 IN_FLOAT (d = erfc (d), "erfc", arg);
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384 return make_float (d);
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385 }
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386
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20
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387 DEFUN ("log-gamma", Flog_gamma, 1, 1, 0, /*
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0
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388 Return the log gamma of ARG.
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20
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389 */
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390 (arg))
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0
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391 {
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392 double d = extract_float (arg);
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393 IN_FLOAT (d = lgamma (d), "log-gamma", arg);
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394 return make_float (d);
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395 }
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396
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397 #endif /* 0 (error functions) */
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398
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|
399
|
|
|
400 /* Root and Log functions. */
|
|
|
401
|
|
|
402 #ifdef LISP_FLOAT_TYPE
|
|
20
|
403 DEFUN ("exp", Fexp, 1, 1, 0, /*
|
|
0
|
404 Return the exponential base e of ARG.
|
|
20
|
405 */
|
|
|
406 (arg))
|
|
0
|
407 {
|
|
|
408 double d = extract_float (arg);
|
|
|
409 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
410 if (d > 709.7827) /* Assume IEEE doubles here */
|
|
|
411 range_error ("exp", arg);
|
|
|
412 else if (d < -709.0)
|
|
|
413 return make_float (0.0);
|
|
|
414 else
|
|
|
415 #endif
|
|
|
416 IN_FLOAT (d = exp (d), "exp", arg);
|
|
|
417 return make_float (d);
|
|
|
418 }
|
|
|
419 #endif /* LISP_FLOAT_TYPE */
|
|
|
420
|
|
|
421
|
|
20
|
422 DEFUN ("expt", Fexpt, 2, 2, 0, /*
|
|
0
|
423 Return the exponential ARG1 ** ARG2.
|
|
20
|
424 */
|
|
|
425 (arg1, arg2))
|
|
0
|
426 {
|
|
380
|
427 if (INTP (arg1) && /* common lisp spec */
|
|
|
428 INTP (arg2)) /* don't promote, if both are ints */
|
|
0
|
429 {
|
|
380
|
430 EMACS_INT retval;
|
|
|
431 EMACS_INT x = XINT (arg1);
|
|
|
432 EMACS_INT y = XINT (arg2);
|
|
185
|
433
|
|
0
|
434 if (y < 0)
|
|
|
435 {
|
|
|
436 if (x == 1)
|
|
380
|
437 retval = 1;
|
|
0
|
438 else if (x == -1)
|
|
380
|
439 retval = (y & 1) ? -1 : 1;
|
|
0
|
440 else
|
|
380
|
441 retval = 0;
|
|
0
|
442 }
|
|
|
443 else
|
|
|
444 {
|
|
380
|
445 retval = 1;
|
|
0
|
446 while (y > 0)
|
|
|
447 {
|
|
|
448 if (y & 1)
|
|
380
|
449 retval *= x;
|
|
0
|
450 x *= x;
|
|
272
|
451 y = (EMACS_UINT) y >> 1;
|
|
0
|
452 }
|
|
|
453 }
|
|
380
|
454 return make_int (retval);
|
|
0
|
455 }
|
|
380
|
456
|
|
0
|
457 #ifdef LISP_FLOAT_TYPE
|
|
380
|
458 {
|
|
|
459 double f1 = extract_float (arg1);
|
|
|
460 double f2 = extract_float (arg2);
|
|
|
461 /* Really should check for overflow, too */
|
|
|
462 if (f1 == 0.0 && f2 == 0.0)
|
|
|
463 f1 = 1.0;
|
|
0
|
464 # ifdef FLOAT_CHECK_DOMAIN
|
|
380
|
465 else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2)))
|
|
|
466 domain_error2 ("expt", arg1, arg2);
|
|
0
|
467 # endif /* FLOAT_CHECK_DOMAIN */
|
|
380
|
468 IN_FLOAT2 (f1 = pow (f1, f2), "expt", arg1, arg2);
|
|
|
469 return make_float (f1);
|
|
|
470 }
|
|
|
471 #else
|
|
|
472 CHECK_INT_OR_FLOAT (arg1);
|
|
|
473 CHECK_INT_OR_FLOAT (arg2);
|
|
|
474 return Fexpt (arg1, arg2);
|
|
0
|
475 #endif /* LISP_FLOAT_TYPE */
|
|
|
476 }
|
|
|
477
|
|
|
478 #ifdef LISP_FLOAT_TYPE
|
|
20
|
479 DEFUN ("log", Flog, 1, 2, 0, /*
|
|
0
|
480 Return the natural logarithm of ARG.
|
|
|
481 If second optional argument BASE is given, return log ARG using that base.
|
|
20
|
482 */
|
|
|
483 (arg, base))
|
|
0
|
484 {
|
|
|
485 double d = extract_float (arg);
|
|
|
486 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
487 if (d <= 0.0)
|
|
|
488 domain_error2 ("log", arg, base);
|
|
|
489 #endif
|
|
|
490 if (NILP (base))
|
|
|
491 IN_FLOAT (d = log (d), "log", arg);
|
|
|
492 else
|
|
|
493 {
|
|
|
494 double b = extract_float (base);
|
|
|
495 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
496 if (b <= 0.0 || b == 1.0)
|
|
|
497 domain_error2 ("log", arg, base);
|
|
|
498 #endif
|
|
|
499 if (b == 10.0)
|
|
|
500 IN_FLOAT2 (d = log10 (d), "log", arg, base);
|
|
|
501 else
|
|
|
502 IN_FLOAT2 (d = (log (d) / log (b)), "log", arg, base);
|
|
|
503 }
|
|
|
504 return make_float (d);
|
|
|
505 }
|
|
|
506
|
|
|
507
|
|
20
|
508 DEFUN ("log10", Flog10, 1, 1, 0, /*
|
|
0
|
509 Return the logarithm base 10 of ARG.
|
|
20
|
510 */
|
|
|
511 (arg))
|
|
0
|
512 {
|
|
|
513 double d = extract_float (arg);
|
|
|
514 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
515 if (d <= 0.0)
|
|
|
516 domain_error ("log10", arg);
|
|
|
517 #endif
|
|
|
518 IN_FLOAT (d = log10 (d), "log10", arg);
|
|
|
519 return make_float (d);
|
|
|
520 }
|
|
|
521
|
|
|
522
|
|
20
|
523 DEFUN ("sqrt", Fsqrt, 1, 1, 0, /*
|
|
0
|
524 Return the square root of ARG.
|
|
20
|
525 */
|
|
|
526 (arg))
|
|
0
|
527 {
|
|
|
528 double d = extract_float (arg);
|
|
|
529 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
530 if (d < 0.0)
|
|
|
531 domain_error ("sqrt", arg);
|
|
|
532 #endif
|
|
|
533 IN_FLOAT (d = sqrt (d), "sqrt", arg);
|
|
|
534 return make_float (d);
|
|
|
535 }
|
|
|
536
|
|
|
537
|
|
20
|
538 DEFUN ("cube-root", Fcube_root, 1, 1, 0, /*
|
|
0
|
539 Return the cube root of ARG.
|
|
20
|
540 */
|
|
|
541 (arg))
|
|
0
|
542 {
|
|
|
543 double d = extract_float (arg);
|
|
|
544 #ifdef HAVE_CBRT
|
|
|
545 IN_FLOAT (d = cbrt (d), "cube-root", arg);
|
|
|
546 #else
|
|
|
547 if (d >= 0.0)
|
|
|
548 IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg);
|
|
|
549 else
|
|
|
550 IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg);
|
|
|
551 #endif
|
|
|
552 return make_float (d);
|
|
|
553 }
|
|
|
554 #endif /* LISP_FLOAT_TYPE */
|
|
|
555
|
|
|
556
|
|
|
557 /* Inverse trig functions. */
|
|
|
558 #ifdef LISP_FLOAT_TYPE
|
|
|
559 /* #if 0 Not clearly worth adding... */
|
|
|
560
|
|
20
|
561 DEFUN ("acosh", Facosh, 1, 1, 0, /*
|
|
0
|
562 Return the inverse hyperbolic cosine of ARG.
|
|
20
|
563 */
|
|
|
564 (arg))
|
|
0
|
565 {
|
|
|
566 double d = extract_float (arg);
|
|
|
567 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
568 if (d < 1.0)
|
|
|
569 domain_error ("acosh", arg);
|
|
|
570 #endif
|
|
|
571 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
572 IN_FLOAT (d = acosh (d), "acosh", arg);
|
|
|
573 #else
|
|
|
574 IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg);
|
|
|
575 #endif
|
|
|
576 return make_float (d);
|
|
|
577 }
|
|
|
578
|
|
20
|
579 DEFUN ("asinh", Fasinh, 1, 1, 0, /*
|
|
0
|
580 Return the inverse hyperbolic sine of ARG.
|
|
20
|
581 */
|
|
|
582 (arg))
|
|
0
|
583 {
|
|
|
584 double d = extract_float (arg);
|
|
|
585 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
586 IN_FLOAT (d = asinh (d), "asinh", arg);
|
|
|
587 #else
|
|
|
588 IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg);
|
|
|
589 #endif
|
|
|
590 return make_float (d);
|
|
|
591 }
|
|
|
592
|
|
20
|
593 DEFUN ("atanh", Fatanh, 1, 1, 0, /*
|
|
0
|
594 Return the inverse hyperbolic tangent of ARG.
|
|
20
|
595 */
|
|
|
596 (arg))
|
|
0
|
597 {
|
|
|
598 double d = extract_float (arg);
|
|
|
599 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
600 if (d >= 1.0 || d <= -1.0)
|
|
|
601 domain_error ("atanh", arg);
|
|
|
602 #endif
|
|
|
603 #ifdef HAVE_INVERSE_HYPERBOLIC
|
|
|
604 IN_FLOAT (d = atanh (d), "atanh", arg);
|
|
|
605 #else
|
|
|
606 IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg);
|
|
|
607 #endif
|
|
|
608 return make_float (d);
|
|
|
609 }
|
|
|
610
|
|
20
|
611 DEFUN ("cosh", Fcosh, 1, 1, 0, /*
|
|
0
|
612 Return the hyperbolic cosine of ARG.
|
|
20
|
613 */
|
|
|
614 (arg))
|
|
0
|
615 {
|
|
|
616 double d = extract_float (arg);
|
|
|
617 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
618 if (d > 710.0 || d < -710.0)
|
|
|
619 range_error ("cosh", arg);
|
|
|
620 #endif
|
|
|
621 IN_FLOAT (d = cosh (d), "cosh", arg);
|
|
|
622 return make_float (d);
|
|
|
623 }
|
|
|
624
|
|
20
|
625 DEFUN ("sinh", Fsinh, 1, 1, 0, /*
|
|
0
|
626 Return the hyperbolic sine of ARG.
|
|
20
|
627 */
|
|
|
628 (arg))
|
|
0
|
629 {
|
|
|
630 double d = extract_float (arg);
|
|
|
631 #ifdef FLOAT_CHECK_DOMAIN
|
|
|
632 if (d > 710.0 || d < -710.0)
|
|
|
633 range_error ("sinh", arg);
|
|
|
634 #endif
|
|
|
635 IN_FLOAT (d = sinh (d), "sinh", arg);
|
|
|
636 return make_float (d);
|
|
|
637 }
|
|
|
638
|
|
20
|
639 DEFUN ("tanh", Ftanh, 1, 1, 0, /*
|
|
0
|
640 Return the hyperbolic tangent of ARG.
|
|
20
|
641 */
|
|
|
642 (arg))
|
|
0
|
643 {
|
|
|
644 double d = extract_float (arg);
|
|
|
645 IN_FLOAT (d = tanh (d), "tanh", arg);
|
|
|
646 return make_float (d);
|
|
|
647 }
|
|
|
648 #endif /* LISP_FLOAT_TYPE (inverse trig functions) */
|
|
|
649
|
|
|
650 /* Rounding functions */
|
|
|
651
|
|
20
|
652 DEFUN ("abs", Fabs, 1, 1, 0, /*
|
|
0
|
653 Return the absolute value of ARG.
|
|
20
|
654 */
|
|
|
655 (arg))
|
|
0
|
656 {
|
|
|
657 #ifdef LISP_FLOAT_TYPE
|
|
|
658 if (FLOATP (arg))
|
|
380
|
659 {
|
|
|
660 IN_FLOAT (arg = make_float (fabs (XFLOAT_DATA (arg))),
|
|
|
661 "abs", arg);
|
|
|
662 return arg;
|
|
|
663 }
|
|
0
|
664 #endif /* LISP_FLOAT_TYPE */
|
|
380
|
665
|
|
|
666 if (INTP (arg))
|
|
|
667 return (XINT (arg) >= 0) ? arg : make_int (- XINT (arg));
|
|
|
668
|
|
|
669 return Fabs (wrong_type_argument (arg, Qnumberp));
|
|
0
|
670 }
|
|
|
671
|
|
|
672 #ifdef LISP_FLOAT_TYPE
|
|
20
|
673 DEFUN ("float", Ffloat, 1, 1, 0, /*
|
|
0
|
674 Return the floating point number equal to ARG.
|
|
20
|
675 */
|
|
|
676 (arg))
|
|
0
|
677 {
|
|
|
678 if (INTP (arg))
|
|
|
679 return make_float ((double) XINT (arg));
|
|
380
|
680
|
|
|
681 if (FLOATP (arg)) /* give 'em the same float back */
|
|
0
|
682 return arg;
|
|
380
|
683
|
|
|
684 return Ffloat (wrong_type_argument (arg, Qnumberp));
|
|
0
|
685 }
|
|
|
686 #endif /* LISP_FLOAT_TYPE */
|
|
|
687
|
|
|
688
|
|
|
689 #ifdef LISP_FLOAT_TYPE
|
|
20
|
690 DEFUN ("logb", Flogb, 1, 1, 0, /*
|
|
0
|
691 Return largest integer <= the base 2 log of the magnitude of ARG.
|
|
|
692 This is the same as the exponent of a float.
|
|
20
|
693 */
|
|
|
694 (arg))
|
|
0
|
695 {
|
|
|
696 double f = extract_float (arg);
|
|
|
697
|
|
|
698 if (f == 0.0)
|
|
288
|
699 return make_int (- (int)((((EMACS_UINT) 1) << (VALBITS - 1)))); /* most-negative-fixnum */
|
|
0
|
700 #ifdef HAVE_LOGB
|
|
|
701 {
|
|
|
702 Lisp_Object val;
|
|
272
|
703 IN_FLOAT (val = make_int ((int) logb (f)), "logb", arg);
|
|
0
|
704 return (val);
|
|
|
705 }
|
|
|
706 #else
|
|
|
707 #ifdef HAVE_FREXP
|
|
|
708 {
|
|
185
|
709 int exqp;
|
|
0
|
710 IN_FLOAT (frexp (f, &exqp), "logb", arg);
|
|
|
711 return (make_int (exqp - 1));
|
|
|
712 }
|
|
|
713 #else
|
|
|
714 {
|
|
|
715 int i;
|
|
|
716 double d;
|
|
|
717 EMACS_INT val;
|
|
|
718 if (f < 0.0)
|
|
|
719 f = -f;
|
|
|
720 val = -1;
|
|
|
721 while (f < 0.5)
|
|
|
722 {
|
|
|
723 for (i = 1, d = 0.5; d * d >= f; i += i)
|
|
|
724 d *= d;
|
|
|
725 f /= d;
|
|
|
726 val -= i;
|
|
|
727 }
|
|
|
728 while (f >= 1.0)
|
|
|
729 {
|
|
|
730 for (i = 1, d = 2.0; d * d <= f; i += i)
|
|
|
731 d *= d;
|
|
|
732 f /= d;
|
|
|
733 val += i;
|
|
|
734 }
|
|
|
735 return (make_int (val));
|
|
|
736 }
|
|
|
737 #endif /* ! HAVE_FREXP */
|
|
|
738 #endif /* ! HAVE_LOGB */
|
|
|
739 }
|
|
|
740 #endif /* LISP_FLOAT_TYPE */
|
|
|
741
|
|
|
742
|
|
20
|
743 DEFUN ("ceiling", Fceiling, 1, 1, 0, /*
|
|
0
|
744 Return the smallest integer no less than ARG. (Round toward +inf.)
|
|
20
|
745 */
|
|
|
746 (arg))
|
|
0
|
747 {
|
|
|
748 #ifdef LISP_FLOAT_TYPE
|
|
|
749 if (FLOATP (arg))
|
|
380
|
750 {
|
|
|
751 double d;
|
|
|
752 IN_FLOAT ((d = ceil (XFLOAT_DATA (arg))), "ceiling", arg);
|
|
|
753 return (float_to_int (d, "ceiling", arg, Qunbound));
|
|
|
754 }
|
|
0
|
755 #endif /* LISP_FLOAT_TYPE */
|
|
|
756
|
|
380
|
757 if (INTP (arg))
|
|
|
758 return arg;
|
|
|
759
|
|
|
760 return Fceiling (wrong_type_argument (arg, Qnumberp));
|
|
0
|
761 }
|
|
|
762
|
|
|
763
|
|
20
|
764 DEFUN ("floor", Ffloor, 1, 2, 0, /*
|
|
0
|
765 Return the largest integer no greater than ARG. (Round towards -inf.)
|
|
|
766 With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR.
|
|
20
|
767 */
|
|
|
768 (arg, divisor))
|
|
0
|
769 {
|
|
|
770 CHECK_INT_OR_FLOAT (arg);
|
|
|
771
|
|
|
772 if (! NILP (divisor))
|
|
|
773 {
|
|
|
774 EMACS_INT i1, i2;
|
|
|
775
|
|
|
776 CHECK_INT_OR_FLOAT (divisor);
|
|
|
777
|
|
|
778 #ifdef LISP_FLOAT_TYPE
|
|
|
779 if (FLOATP (arg) || FLOATP (divisor))
|
|
|
780 {
|
|
380
|
781 double f1 = extract_float (arg);
|
|
|
782 double f2 = extract_float (divisor);
|
|
0
|
783
|
|
|
784 if (f2 == 0)
|
|
|
785 Fsignal (Qarith_error, Qnil);
|
|
|
786
|
|
|
787 IN_FLOAT2 (f1 = floor (f1 / f2), "floor", arg, divisor);
|
|
|
788 return float_to_int (f1, "floor", arg, divisor);
|
|
|
789 }
|
|
|
790 #endif /* LISP_FLOAT_TYPE */
|
|
|
791
|
|
|
792 i1 = XINT (arg);
|
|
|
793 i2 = XINT (divisor);
|
|
|
794
|
|
|
795 if (i2 == 0)
|
|
|
796 Fsignal (Qarith_error, Qnil);
|
|
|
797
|
|
|
798 /* With C's /, the result is implementation-defined if either operand
|
|
|
799 is negative, so use only nonnegative operands. */
|
|
|
800 i1 = (i2 < 0
|
|
|
801 ? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2))
|
|
|
802 : (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2));
|
|
|
803
|
|
|
804 return (make_int (i1));
|
|
|
805 }
|
|
|
806
|
|
|
807 #ifdef LISP_FLOAT_TYPE
|
|
|
808 if (FLOATP (arg))
|
|
380
|
809 {
|
|
|
810 double d;
|
|
|
811 IN_FLOAT ((d = floor (XFLOAT_DATA (arg))), "floor", arg);
|
|
|
812 return (float_to_int (d, "floor", arg, Qunbound));
|
|
|
813 }
|
|
0
|
814 #endif /* LISP_FLOAT_TYPE */
|
|
|
815
|
|
|
816 return arg;
|
|
|
817 }
|
|
|
818
|
|
20
|
819 DEFUN ("round", Fround, 1, 1, 0, /*
|
|
0
|
820 Return the nearest integer to ARG.
|
|
20
|
821 */
|
|
|
822 (arg))
|
|
0
|
823 {
|
|
|
824 #ifdef LISP_FLOAT_TYPE
|
|
|
825 if (FLOATP (arg))
|
|
380
|
826 {
|
|
|
827 double d;
|
|
|
828 /* Screw the prevailing rounding mode. */
|
|
|
829 IN_FLOAT ((d = rint (XFLOAT_DATA (arg))), "round", arg);
|
|
|
830 return (float_to_int (d, "round", arg, Qunbound));
|
|
|
831 }
|
|
0
|
832 #endif /* LISP_FLOAT_TYPE */
|
|
|
833
|
|
380
|
834 if (INTP (arg))
|
|
|
835 return arg;
|
|
|
836
|
|
|
837 return Fround (wrong_type_argument (arg, Qnumberp));
|
|
0
|
838 }
|
|
|
839
|
|
20
|
840 DEFUN ("truncate", Ftruncate, 1, 1, 0, /*
|
|
0
|
841 Truncate a floating point number to an integer.
|
|
|
842 Rounds the value toward zero.
|
|
20
|
843 */
|
|
|
844 (arg))
|
|
0
|
845 {
|
|
|
846 #ifdef LISP_FLOAT_TYPE
|
|
|
847 if (FLOATP (arg))
|
|
380
|
848 return float_to_int (XFLOAT_DATA (arg), "truncate", arg, Qunbound);
|
|
0
|
849 #endif /* LISP_FLOAT_TYPE */
|
|
|
850
|
|
380
|
851 if (INTP (arg))
|
|
|
852 return arg;
|
|
|
853
|
|
|
854 return Ftruncate (wrong_type_argument (arg, Qnumberp));
|
|
0
|
855 }
|
|
|
856
|
|
|
857 /* Float-rounding functions. */
|
|
|
858 #ifdef LISP_FLOAT_TYPE
|
|
|
859 /* #if 1 It's not clear these are worth adding... */
|
|
|
860
|
|
20
|
861 DEFUN ("fceiling", Ffceiling, 1, 1, 0, /*
|
|
0
|
862 Return the smallest integer no less than ARG, as a float.
|
|
|
863 \(Round toward +inf.\)
|
|
20
|
864 */
|
|
|
865 (arg))
|
|
0
|
866 {
|
|
|
867 double d = extract_float (arg);
|
|
|
868 IN_FLOAT (d = ceil (d), "fceiling", arg);
|
|
|
869 return make_float (d);
|
|
|
870 }
|
|
|
871
|
|
20
|
872 DEFUN ("ffloor", Fffloor, 1, 1, 0, /*
|
|
0
|
873 Return the largest integer no greater than ARG, as a float.
|
|
|
874 \(Round towards -inf.\)
|
|
20
|
875 */
|
|
|
876 (arg))
|
|
0
|
877 {
|
|
|
878 double d = extract_float (arg);
|
|
|
879 IN_FLOAT (d = floor (d), "ffloor", arg);
|
|
|
880 return make_float (d);
|
|
|
881 }
|
|
|
882
|
|
20
|
883 DEFUN ("fround", Ffround, 1, 1, 0, /*
|
|
0
|
884 Return the nearest integer to ARG, as a float.
|
|
20
|
885 */
|
|
|
886 (arg))
|
|
0
|
887 {
|
|
|
888 double d = extract_float (arg);
|
|
|
889 IN_FLOAT (d = rint (d), "fround", arg);
|
|
|
890 return make_float (d);
|
|
|
891 }
|
|
|
892
|
|
20
|
893 DEFUN ("ftruncate", Fftruncate, 1, 1, 0, /*
|
|
0
|
894 Truncate a floating point number to an integral float value.
|
|
|
895 Rounds the value toward zero.
|
|
20
|
896 */
|
|
|
897 (arg))
|
|
0
|
898 {
|
|
|
899 double d = extract_float (arg);
|
|
|
900 if (d >= 0.0)
|
|
|
901 IN_FLOAT (d = floor (d), "ftruncate", arg);
|
|
|
902 else
|
|
|
903 IN_FLOAT (d = ceil (d), "ftruncate", arg);
|
|
|
904 return make_float (d);
|
|
|
905 }
|
|
|
906
|
|
|
907 #endif /* LISP_FLOAT_TYPE (float-rounding functions) */
|
|
|
908
|
|
|
909
|
|
|
910 #ifdef LISP_FLOAT_TYPE
|
|
|
911 #ifdef FLOAT_CATCH_SIGILL
|
|
|
912 static SIGTYPE
|
|
|
913 float_error (int signo)
|
|
|
914 {
|
|
|
915 if (! in_float)
|
|
|
916 fatal_error_signal (signo);
|
|
|
917
|
|
|
918 EMACS_REESTABLISH_SIGNAL (signo, arith_error);
|
|
|
919 EMACS_UNBLOCK_SIGNAL (signo);
|
|
|
920
|
|
|
921 in_float = 0;
|
|
|
922
|
|
|
923 /* Was Fsignal(), but it just doesn't make sense for an error
|
|
|
924 occurring inside a signal handler to be restartable, considering
|
|
|
925 that anything could happen when the error is signaled and trapped
|
|
|
926 and considering the asynchronous nature of signal handlers. */
|
|
|
927 signal_error (Qarith_error, list1 (float_error_arg));
|
|
|
928 }
|
|
|
929
|
|
|
930 /* Another idea was to replace the library function `infnan'
|
|
|
931 where SIGILL is signaled. */
|
|
|
932
|
|
|
933 #endif /* FLOAT_CATCH_SIGILL */
|
|
|
934
|
|
284
|
935 /* In C++, it is impossible to determine what type matherr expects
|
|
|
936 without some more configure magic.
|
|
|
937 We shouldn't be using matherr anyways - it's a non-standard SYSVism. */
|
|
272
|
938 #if defined (HAVE_MATHERR) && !defined(__cplusplus)
|
|
185
|
939 int
|
|
0
|
940 matherr (struct exception *x)
|
|
|
941 {
|
|
|
942 Lisp_Object args;
|
|
|
943 if (! in_float)
|
|
|
944 /* Not called from emacs-lisp float routines; do the default thing. */
|
|
|
945 return 0;
|
|
|
946
|
|
|
947 /* if (!strcmp (x->name, "pow")) x->name = "expt"; */
|
|
|
948
|
|
|
949 args = Fcons (build_string (x->name),
|
|
|
950 Fcons (make_float (x->arg1),
|
|
|
951 ((in_float == 2)
|
|
|
952 ? Fcons (make_float (x->arg2), Qnil)
|
|
|
953 : Qnil)));
|
|
|
954 switch (x->type)
|
|
|
955 {
|
|
284
|
956 case DOMAIN: Fsignal (Qdomain_error, args); break;
|
|
|
957 case SING: Fsignal (Qsingularity_error, args); break;
|
|
|
958 case OVERFLOW: Fsignal (Qoverflow_error, args); break;
|
|
|
959 case UNDERFLOW: Fsignal (Qunderflow_error, args); break;
|
|
|
960 default: Fsignal (Qarith_error, args); break;
|
|
0
|
961 }
|
|
272
|
962 return 1; /* don't set errno or print a message */
|
|
0
|
963 }
|
|
|
964 #endif /* HAVE_MATHERR */
|
|
|
965 #endif /* LISP_FLOAT_TYPE */
|
|
|
966
|
|
|
967
|
|
|
968 void
|
|
|
969 init_floatfns_very_early (void)
|
|
|
970 {
|
|
|
971 #ifdef LISP_FLOAT_TYPE
|
|
|
972 # ifdef FLOAT_CATCH_SIGILL
|
|
|
973 signal (SIGILL, float_error);
|
|
185
|
974 # endif
|
|
0
|
975 in_float = 0;
|
|
|
976 #endif /* LISP_FLOAT_TYPE */
|
|
|
977 }
|
|
|
978
|
|
|
979 void
|
|
|
980 syms_of_floatfns (void)
|
|
|
981 {
|
|
185
|
982
|
|
0
|
983 /* Trig functions. */
|
|
185
|
984
|
|
0
|
985 #ifdef LISP_FLOAT_TYPE
|
|
20
|
986 DEFSUBR (Facos);
|
|
|
987 DEFSUBR (Fasin);
|
|
|
988 DEFSUBR (Fatan);
|
|
|
989 DEFSUBR (Fcos);
|
|
|
990 DEFSUBR (Fsin);
|
|
|
991 DEFSUBR (Ftan);
|
|
0
|
992 #endif /* LISP_FLOAT_TYPE */
|
|
|
993
|
|
|
994 /* Bessel functions */
|
|
185
|
995
|
|
0
|
996 #if 0
|
|
20
|
997 DEFSUBR (Fbessel_y0);
|
|
|
998 DEFSUBR (Fbessel_y1);
|
|
|
999 DEFSUBR (Fbessel_yn);
|
|
|
1000 DEFSUBR (Fbessel_j0);
|
|
|
1001 DEFSUBR (Fbessel_j1);
|
|
|
1002 DEFSUBR (Fbessel_jn);
|
|
0
|
1003 #endif /* 0 */
|
|
|
1004
|
|
|
1005 /* Error functions. */
|
|
|
1006
|
|
|
1007 #if 0
|
|
20
|
1008 DEFSUBR (Ferf);
|
|
|
1009 DEFSUBR (Ferfc);
|
|
|
1010 DEFSUBR (Flog_gamma);
|
|
0
|
1011 #endif /* 0 */
|
|
|
1012
|
|
|
1013 /* Root and Log functions. */
|
|
|
1014
|
|
|
1015 #ifdef LISP_FLOAT_TYPE
|
|
20
|
1016 DEFSUBR (Fexp);
|
|
0
|
1017 #endif /* LISP_FLOAT_TYPE */
|
|
20
|
1018 DEFSUBR (Fexpt);
|
|
0
|
1019 #ifdef LISP_FLOAT_TYPE
|
|
20
|
1020 DEFSUBR (Flog);
|
|
|
1021 DEFSUBR (Flog10);
|
|
|
1022 DEFSUBR (Fsqrt);
|
|
|
1023 DEFSUBR (Fcube_root);
|
|
0
|
1024 #endif /* LISP_FLOAT_TYPE */
|
|
|
1025
|
|
|
1026 /* Inverse trig functions. */
|
|
|
1027
|
|
|
1028 #ifdef LISP_FLOAT_TYPE
|
|
20
|
1029 DEFSUBR (Facosh);
|
|
|
1030 DEFSUBR (Fasinh);
|
|
|
1031 DEFSUBR (Fatanh);
|
|
|
1032 DEFSUBR (Fcosh);
|
|
|
1033 DEFSUBR (Fsinh);
|
|
|
1034 DEFSUBR (Ftanh);
|
|
0
|
1035 #endif /* LISP_FLOAT_TYPE */
|
|
|
1036
|
|
|
1037 /* Rounding functions */
|
|
|
1038
|
|
20
|
1039 DEFSUBR (Fabs);
|
|
0
|
1040 #ifdef LISP_FLOAT_TYPE
|
|
20
|
1041 DEFSUBR (Ffloat);
|
|
|
1042 DEFSUBR (Flogb);
|
|
0
|
1043 #endif /* LISP_FLOAT_TYPE */
|
|
20
|
1044 DEFSUBR (Fceiling);
|
|
|
1045 DEFSUBR (Ffloor);
|
|
|
1046 DEFSUBR (Fround);
|
|
|
1047 DEFSUBR (Ftruncate);
|
|
0
|
1048
|
|
|
1049 /* Float-rounding functions. */
|
|
|
1050
|
|
|
1051 #ifdef LISP_FLOAT_TYPE
|
|
20
|
1052 DEFSUBR (Ffceiling);
|
|
|
1053 DEFSUBR (Fffloor);
|
|
|
1054 DEFSUBR (Ffround);
|
|
|
1055 DEFSUBR (Fftruncate);
|
|
0
|
1056 #endif /* LISP_FLOAT_TYPE */
|
|
|
1057 }
|
|
|
1058
|
|
|
1059 void
|
|
|
1060 vars_of_floatfns (void)
|
|
|
1061 {
|
|
|
1062 #ifdef LISP_FLOAT_TYPE
|
|
|
1063 Fprovide (intern ("lisp-float-type"));
|
|
|
1064 #endif
|
|
|
1065 }
|
