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1983
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1 /* Numeric types for XEmacs.
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2 Copyright (C) 2004 Jerry James.
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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: Not in FSF. */
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22
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23 #include <config.h>
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24 #include <limits.h>
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25 #include "lisp.h"
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26
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27 Lisp_Object Qintegerp, Qrationalp, Qfloatingp, Qrealp, Qnumberp;
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28 Lisp_Object Vdefault_float_precision;
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29 Fixnum Vmost_negative_fixnum, Vmost_positive_fixnum;
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30 static Lisp_Object Qunsupported_type;
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31 static Lisp_Object Vbigfloat_max_prec;
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32 static int number_initialized;
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33
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34 #ifdef HAVE_BIGNUM
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35 bignum scratch_bignum, scratch_bignum2;
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36 #endif
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37 #ifdef HAVE_RATIO
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38 ratio scratch_ratio;
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39 #endif
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40 #ifdef HAVE_BIGFLOAT
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41 bigfloat scratch_bigfloat, scratch_bigfloat2;
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42 #endif
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43
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44 /********************************* Bignums **********************************/
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45 #ifdef HAVE_BIGNUM
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46 static void
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47 bignum_print (Lisp_Object obj, Lisp_Object printcharfun, int escapeflag)
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48 {
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49 CIbyte *bstr = bignum_to_string (XBIGNUM_DATA (obj), 10);
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50 write_c_string (printcharfun, bstr);
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51 xfree (bstr, CIbyte *);
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52 }
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53
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54 static void
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55 bignum_finalize (void *header, int for_disksave)
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56 {
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57 if (for_disksave)
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58 invalid_operation ("Can't dump an XEmacs containing bignum objects",
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59 VOID_TO_LISP (header));
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60 bignum_fini (((Lisp_Bignum *)header)->data);
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61 }
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62
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63 static int
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64 bignum_equal (Lisp_Object obj1, Lisp_Object obj2, int depth)
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65 {
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66 return bignum_eql (XBIGNUM_DATA (obj1), XBIGNUM_DATA (obj2));
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67 }
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68
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69 static Hashcode
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70 bignum_hash (Lisp_Object obj, int depth)
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71 {
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72 return bignum_hashcode (XBIGNUM_DATA (obj));
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73 }
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74
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75 static const struct memory_description bignum_description[] = {
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76 { XD_OPAQUE_PTR, offsetof (Lisp_Bignum, data) },
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77 { XD_END }
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78 };
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79
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80 DEFINE_LRECORD_IMPLEMENTATION ("bignum", bignum, 0, 0,
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81 bignum_print, bignum_finalize, bignum_equal,
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82 bignum_hash, bignum_description, Lisp_Bignum);
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83
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84 Lisp_Object
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85 string_to_bignum(const Ibyte *str, Bytecount len, int base)
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86 {
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87 Lisp_Object b = make_bignum (0L);
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88 return (bignum_set_string (XBIGNUM_DATA (b), str, base) < 0)
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89 ? Fsignal (Qinvalid_read_syntax,
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90 list3 (build_msg_string
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91 ("Invalid integer constant in reader"),
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92 make_string (str, len),
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93 make_int (10)))
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94 : b;
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95 }
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96
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97 #else /* !HAVE_BIGNUM */
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98
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99 Lisp_Object Qbignump;
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100
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101 #endif /* HAVE_BIGNUM */
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102
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103 DEFUN ("bignump", Fbignump, 1, 1, 0, /*
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104 Return t if OBJECT is a bignum, nil otherwise.
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105 */
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106 (object))
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107 {
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108 return BIGNUMP (object) ? Qt : Qnil;
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109 }
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110
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111
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112 /********************************* Integers *********************************/
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113 DEFUN ("integerp", Fintegerp, 1, 1, 0, /*
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114 Return t if OBJECT is an integer, nil otherwise.
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115 */
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116 (object))
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117 {
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118 return INTEGERP (object) ? Qt : Qnil;
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119 }
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120
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121 DEFUN ("evenp", Fevenp, 1, 1, 0, /*
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122 Return t if INTEGER is even, nil otherwise.
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123 */
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124 (integer))
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125 {
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126 CONCHECK_INTEGER (integer);
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127 return BIGNUMP (integer)
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128 ? bignum_evenp (XBIGNUM_DATA (integer))
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129 : XTYPE (integer) == Lisp_Type_Int_Even;
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130 }
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131
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132 DEFUN ("odd", Foddp, 1, 1, 0, /*
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133 Return t if INTEGER is odd, nil otherwise.
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134 */
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135 (integer))
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136 {
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137 CONCHECK_INTEGER (integer);
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138 return BIGNUMP (integer)
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139 ? bignum_oddp (XBIGNUM_DATA (integer))
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140 : XTYPE (integer) == Lisp_Type_Int_Odd;
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141 }
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142
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143
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144 /********************************** Ratios **********************************/
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145 #ifdef HAVE_RATIO
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146 static void
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147 ratio_print (Lisp_Object obj, Lisp_Object printcharfun, int escapeflag)
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148 {
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149 CIbyte *rstr = ratio_to_string (XRATIO_DATA (obj), 10);
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150 write_c_string (printcharfun, rstr);
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151 xfree (rstr, CIbyte *);
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152 }
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153
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154 static void
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155 ratio_finalize (void *header, int for_disksave)
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156 {
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157 if (for_disksave)
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158 invalid_operation ("Can't dump an XEmacs containing ratio objects",
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159 VOID_TO_LISP (header));
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160 ratio_fini (((Lisp_Ratio *)header)->data);
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161 }
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162 ;
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163
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164 static int
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165 ratio_equal (Lisp_Object obj1, Lisp_Object obj2, int depth)
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166 {
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167 return ratio_eql (XRATIO_DATA (obj1), XRATIO_DATA (obj2));
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168 }
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169
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170 static Hashcode
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171 ratio_hash (Lisp_Object obj, int depth)
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172 {
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173 return ratio_hashcode (XRATIO_DATA (obj));
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174 }
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175
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176 static const struct memory_description ratio_description[] = {
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177 { XD_OPAQUE_PTR, offsetof (Lisp_Ratio, data) },
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178 { XD_END }
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179 };
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180
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181 DEFINE_LRECORD_IMPLEMENTATION ("ratio", ratio, 0, 0,
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182 ratio_print, ratio_finalize, ratio_equal,
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183 ratio_hash, ratio_description, Lisp_Ratio);
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184
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185 #else /* !HAVE_RATIO */
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186
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187 Lisp_Object Qratiop;
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188
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189 #endif /* HAVE_RATIO */
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190
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191 DEFUN ("ratiop", Fratiop, 1, 1, 0, /*
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192 Return t if OBJECT is a ratio, nil otherwise.
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193 */
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194 (object))
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195 {
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196 return RATIOP (object) ? Qt : Qnil;
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197 }
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198
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199
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200 /******************************** Rationals *********************************/
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201 DEFUN ("rationalp", Frationalp, 1, 1, 0, /*
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202 Return t if OBJECT is a rational, nil otherwise.
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203 */
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204 (object))
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205 {
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206 return RATIONALP (object) ? Qt : Qnil;
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207 }
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208
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209 DEFUN ("numerator", Fnumerator, 1, 1, 0, /*
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210 Return the numerator of the canonical form of RATIONAL.
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211 If RATIONAL is an integer, RATIONAL is returned.
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212 */
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213 (rational))
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214 {
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215 CONCHECK_RATIONAL (rational);
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216 #ifdef HAVE_RATIO
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217 return RATIOP (rational)
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218 ? make_bignum_bg (XRATIO_NUMERATOR (rational))
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219 : rational;
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220 #else
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221 return rational;
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222 #endif
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223 }
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224
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225 DEFUN ("denominator", Fdenominator, 1, 1, 0, /*
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226 Return the denominator of the canonical form of RATIONAL.
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227 If RATIONAL is an integer, 1 is returned.
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228 */
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229 (rational))
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230 {
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231 CONCHECK_RATIONAL (rational);
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232 #ifdef HAVE_RATIO
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233 return RATIOP (rational)
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234 ? make_bignum_bg (XRATIO_DENOMINATOR (rational))
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235 : make_int (1);
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236 #else
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237 return rational;
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238 #endif
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239 }
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240
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241
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242 /******************************** Bigfloats *********************************/
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243 #ifdef HAVE_BIGFLOAT
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244 static void
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245 bigfloat_print (Lisp_Object obj, Lisp_Object printcharfun, int escapeflag)
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246 {
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247 CIbyte *fstr = bigfloat_to_string (XBIGFLOAT_DATA (obj), 10);
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248 write_c_string (printcharfun, fstr);
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249 xfree (fstr, CIbyte *);
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250 }
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251
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252 static void
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253 bigfloat_finalize (void *header, int for_disksave)
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254 {
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255 if (for_disksave)
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256 invalid_operation ("Can't dump an XEmacs containing bigfloat objects",
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257 VOID_TO_LISP (header));
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258 bigfloat_fini (((Lisp_Bigfloat *)header)->bf);
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259 }
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260
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261 static int
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262 bigfloat_equal (Lisp_Object obj1, Lisp_Object obj2, int depth)
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263 {
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264 return bigfloat_eql (XBIGFLOAT_DATA (obj1), XBIGFLOAT_DATA (obj2));
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265 }
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266
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267 static Hashcode
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268 bigfloat_hash (Lisp_Object obj, int depth)
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269 {
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270 return bigfloat_hashcode (XBIGFLOAT_DATA (obj));
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271 }
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272
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273 static const struct memory_description bigfloat_description[] = {
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274 { XD_OPAQUE_PTR, offsetof (Lisp_Bigfloat, bf) },
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275 { XD_END }
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276 };
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277
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278 DEFINE_LRECORD_IMPLEMENTATION ("bigfloat", bigfloat, 1, 0,
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279 bigfloat_print, bigfloat_finalize,
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280 bigfloat_equal, bigfloat_hash,
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281 bigfloat_description, Lisp_Bigfloat);
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282
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283 #else /* !HAVE_BIGFLOAT */
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284
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285 Lisp_Object Qbigfloatp;
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286
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287 #endif /* HAVE_BIGFLOAT */
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288
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289 DEFUN ("bigfloatp", Fbigfloatp, 1, 1, 0, /*
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290 Return t if OBJECT is a bigfloat, nil otherwise.
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291 */
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292 (object))
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293 {
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294 return BIGFLOATP (object) ? Qt : Qnil;
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295 }
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296
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297 static int
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298 default_float_precision_changed (Lisp_Object sym, Lisp_Object *val,
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299 Lisp_Object in_object, int flags)
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300 {
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301 unsigned long prec;
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302
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303 CONCHECK_INTEGER (*val);
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304 #ifdef HAVE_BIGFLOAT
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305 if (INTP (*val))
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306 prec = XINT (*val);
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307 else
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308 {
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309 if (!bignum_fits_ulong_p (XBIGNUM_DATA (*val)))
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310 args_out_of_range_3 (*val, Qzero, Vbigfloat_max_prec);
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311 prec = bignum_to_ulong (XBIGNUM_DATA (*val));
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312 }
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313 if (prec != 0UL)
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314 bigfloat_set_default_prec (prec);
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315 #endif
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316 return 0;
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317 }
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318
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319
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320 /********************************* Floating *********************************/
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321 Lisp_Object
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322 make_floating (double d)
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323 {
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324 #ifdef HAVE_BIGFLOAT
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325 if (ZEROP (Vdefault_float_precision))
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326 #endif
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327 return make_float (d);
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328 #ifdef HAVE_BIGFLOAT
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329 else
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330 return make_bigfloat (d, 0UL);
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331 #endif
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332 }
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333
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334 DEFUN ("floatingp", Ffloatingp, 1, 1, 0, /*
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335 Return t if OBJECT is a floating point number of any kind, nil otherwise.
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336 */
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337 (object))
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338 {
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339 return FLOATINGP (object) ? Qt : Qnil;
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340 }
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341
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342
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343 /********************************** Reals ***********************************/
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344 DEFUN ("realp", Frealp, 1, 1, 0, /*
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345 Return t if OBJECT is a real, nil otherwise.
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346 */
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347 (object))
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348 {
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349 return REALP (object) ? Qt : Qnil;
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350 }
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351
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352
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353 /********************************* Numbers **********************************/
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354 DEFUN ("canonicalize-number", Fcanonicalize_number, 1, 1, 0, /*
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355 Return the canonical form of NUMBER.
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356 */
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357 (number))
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358 {
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359 /* The tests should go in order from larger, more expressive, or more
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360 complex types to smaller, less expressive, or simpler types so that a
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361 number can cascade all the way down to the simplest type if
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362 appropriate. */
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363 #ifdef HAVE_RATIO
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364 if (RATIOP (number) &&
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365 bignum_fits_long_p (XRATIO_DENOMINATOR (number)) &&
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366 bignum_to_long (XRATIO_DENOMINATOR (number)) == 1L)
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367 number = make_bignum_bg (XRATIO_NUMERATOR (number));
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368 #endif
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369 #ifdef HAVE_BIGNUM
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370 if (BIGNUMP (number) && bignum_fits_int_p (XBIGNUM_DATA (number)))
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371 {
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372 int n = bignum_to_int (XBIGNUM_DATA (number));
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373 if (NUMBER_FITS_IN_AN_EMACS_INT (n))
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374 number = make_int (n);
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375 }
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376 #endif
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377 return number;
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378 }
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379
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380 enum number_type
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381 get_number_type (Lisp_Object arg)
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382 {
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383 if (INTP (arg))
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384 return FIXNUM_T;
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385 #ifdef HAVE_BIGNUM
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386 if (BIGNUMP (arg))
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387 return BIGNUM_T;
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388 #endif
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389 #ifdef HAVE_RATIO
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390 if (RATIOP (arg))
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391 return RATIO_T;
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392 #endif
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393 if (FLOATP (arg))
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394 return FLOAT_T;
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395 #ifdef HAVE_BIGFLOAT
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396 if (BIGFLOATP (arg))
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397 return BIGFLOAT_T;
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398 #endif
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399 /* Catch unintentional bad uses of this function */
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400 abort ();
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401 }
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402
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403 /* Convert NUMBER to type TYPE. If TYPE is BIGFLOAT_T then use the indicated
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404 PRECISION; otherwise, PRECISION is ignored. */
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405 static Lisp_Object
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406 internal_coerce_number (Lisp_Object number, enum number_type type,
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407 unsigned long precision)
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408 {
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409 enum number_type current_type;
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410
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411 if (CHARP (number))
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412 number = make_int (XCHAR (number));
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413 else if (MARKERP (number))
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414 number = make_int (marker_position (number));
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415
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416 /* Note that CHECK_NUMBER ensures that NUMBER is a supported type. Hence,
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417 we abort() in the #else sections below, because it shouldn't be possible
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418 to arrive there. */
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419 CHECK_NUMBER (number);
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420 current_type = get_number_type (number);
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421 switch (current_type)
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422 {
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|
423 case FIXNUM_T:
|
|
|
424 switch (type)
|
|
|
425 {
|
|
|
426 case FIXNUM_T:
|
|
|
427 return number;
|
|
|
428 case BIGNUM_T:
|
|
|
429 #ifdef HAVE_BIGNUM
|
|
|
430 return make_bignum (XREALINT (number));
|
|
|
431 #else
|
|
|
432 abort ();
|
|
|
433 #endif /* HAVE_BIGNUM */
|
|
|
434 case RATIO_T:
|
|
|
435 #ifdef HAVE_RATIO
|
|
|
436 return make_ratio (XREALINT (number), 1UL);
|
|
|
437 #else
|
|
|
438 abort ();
|
|
|
439 #endif /* HAVE_RATIO */
|
|
|
440 case FLOAT_T:
|
|
|
441 return make_float (XREALINT (number));
|
|
|
442 case BIGFLOAT_T:
|
|
|
443 #ifdef HAVE_BIGFLOAT
|
|
|
444 return make_bigfloat (XREALINT (number), precision);
|
|
|
445 #else
|
|
|
446 abort ();
|
|
|
447 #endif /* HAVE_BIGFLOAT */
|
|
|
448 }
|
|
|
449 case BIGNUM_T:
|
|
|
450 #ifdef HAVE_BIGNUM
|
|
|
451 switch (type)
|
|
|
452 {
|
|
|
453 case FIXNUM_T:
|
|
|
454 return make_int (bignum_to_long (XBIGNUM_DATA (number)));
|
|
|
455 case BIGNUM_T:
|
|
|
456 return number;
|
|
|
457 case RATIO_T:
|
|
|
458 #ifdef HAVE_RATIO
|
|
|
459 bignum_set_long (scratch_bignum, 1L);
|
|
|
460 return make_ratio_bg (XBIGNUM_DATA (number), scratch_bignum);
|
|
|
461 #else
|
|
|
462 abort ();
|
|
|
463 #endif /* HAVE_RATIO */
|
|
|
464 case FLOAT_T:
|
|
|
465 return make_float (bignum_to_double (XBIGNUM_DATA (number)));
|
|
|
466 case BIGFLOAT_T:
|
|
|
467 #ifdef HAVE_BIGFLOAT
|
|
|
468 {
|
|
|
469 Lisp_Object temp;
|
|
|
470 temp = make_bigfloat (0.0, precision);
|
|
|
471 bigfloat_set_bignum (XBIGFLOAT_DATA (temp), XBIGNUM_DATA (number));
|
|
|
472 return temp;
|
|
|
473 }
|
|
|
474 #else
|
|
|
475 abort ();
|
|
|
476 #endif /* HAVE_BIGFLOAT */
|
|
|
477 }
|
|
|
478 #else
|
|
|
479 abort ();
|
|
|
480 #endif /* HAVE_BIGNUM */
|
|
|
481 case RATIO_T:
|
|
|
482 #ifdef HAVE_RATIO
|
|
|
483 switch (type)
|
|
|
484 {
|
|
|
485 case FIXNUM_T:
|
|
|
486 bignum_div (scratch_bignum, XRATIO_NUMERATOR (number),
|
|
|
487 XRATIO_DENOMINATOR (number));
|
|
|
488 return make_int (bignum_to_long (scratch_bignum));
|
|
|
489 case BIGNUM_T:
|
|
|
490 bignum_div (scratch_bignum, XRATIO_NUMERATOR (number),
|
|
|
491 XRATIO_DENOMINATOR (number));
|
|
|
492 return make_bignum_bg (scratch_bignum);
|
|
|
493 case RATIO_T:
|
|
|
494 return number;
|
|
|
495 case FLOAT_T:
|
|
|
496 return make_float (ratio_to_double (XRATIO_DATA (number)));
|
|
|
497 case BIGFLOAT_T:
|
|
|
498 #ifdef HAVE_BIGFLOAT
|
|
|
499 {
|
|
|
500 Lisp_Object temp;
|
|
|
501 temp = make_bigfloat (0.0, precision);
|
|
|
502 bigfloat_set_ratio (XBIGFLOAT_DATA (temp), XRATIO_DATA (number));
|
|
|
503 return temp;
|
|
|
504 }
|
|
|
505 #else
|
|
|
506 abort ();
|
|
|
507 #endif /* HAVE_BIGFLOAT */
|
|
|
508 }
|
|
|
509 #else
|
|
|
510 abort ();
|
|
|
511 #endif /* HAVE_RATIO */
|
|
|
512 case FLOAT_T:
|
|
|
513 switch (type)
|
|
|
514 {
|
|
|
515 case FIXNUM_T:
|
|
|
516 return Fround (number);
|
|
|
517 case BIGNUM_T:
|
|
|
518 #ifdef HAVE_BIGNUM
|
|
|
519 bignum_set_double (scratch_bignum, XFLOAT_DATA (number));
|
|
|
520 return make_bignum_bg (scratch_bignum);
|
|
|
521 #else
|
|
|
522 abort ();
|
|
|
523 #endif /* HAVE_BIGNUM */
|
|
|
524 case RATIO_T:
|
|
|
525 #ifdef HAVE_RATIO
|
|
|
526 ratio_set_double (scratch_ratio, XFLOAT_DATA (number));
|
|
|
527 return make_ratio_rt (scratch_ratio);
|
|
|
528 #else
|
|
|
529 abort ();
|
|
|
530 #endif /* HAVE_RATIO */
|
|
|
531 case FLOAT_T:
|
|
|
532 return number;
|
|
|
533 case BIGFLOAT_T:
|
|
|
534 #ifdef HAVE_BIGFLOAT
|
|
|
535 bigfloat_set_prec (scratch_bigfloat, precision);
|
|
|
536 bigfloat_set_double (scratch_bigfloat, XFLOAT_DATA (number));
|
|
|
537 return make_bigfloat_bf (scratch_bigfloat);
|
|
|
538 #else
|
|
|
539 abort ();
|
|
|
540 #endif /* HAVE_BIGFLOAT */
|
|
|
541 }
|
|
|
542 case BIGFLOAT_T:
|
|
|
543 #ifdef HAVE_BIGFLOAT
|
|
|
544 switch (type)
|
|
|
545 {
|
|
|
546 case FIXNUM_T:
|
|
|
547 return make_int (bigfloat_to_long (XBIGFLOAT_DATA (number)));
|
|
|
548 case BIGNUM_T:
|
|
|
549 #ifdef HAVE_BIGNUM
|
|
|
550 bignum_set_bigfloat (scratch_bignum, XBIGFLOAT_DATA (number));
|
|
|
551 return make_bignum_bg (scratch_bignum);
|
|
|
552 #else
|
|
|
553 abort ();
|
|
|
554 #endif /* HAVE_BIGNUM */
|
|
|
555 case RATIO_T:
|
|
|
556 #ifdef HAVE_RATIO
|
|
|
557 ratio_set_bigfloat (scratch_ratio, XBIGFLOAT_DATA (number));
|
|
|
558 return make_ratio_rt (scratch_ratio);
|
|
|
559 #else
|
|
|
560 abort ();
|
|
|
561 #endif
|
|
|
562 case FLOAT_T:
|
|
|
563 return make_float (bigfloat_to_double (XBIGFLOAT_DATA (number)));
|
|
|
564 case BIGFLOAT_T:
|
|
|
565 /* FIXME: Do we need to change the precision? */
|
|
|
566 return number;
|
|
|
567 }
|
|
|
568 #else
|
|
|
569 abort ();
|
|
|
570 #endif /* HAVE_BIGFLOAT */
|
|
|
571 }
|
|
|
572 abort ();
|
|
|
573 }
|
|
|
574
|
|
|
575 /* This function promotes its arguments as necessary to make them both the
|
|
|
576 same type. It destructively modifies its arguments to do so. Characters
|
|
|
577 and markers are ALWAYS converted to integers. */
|
|
|
578 enum number_type
|
|
|
579 promote_args (Lisp_Object *arg1, Lisp_Object *arg2)
|
|
|
580 {
|
|
|
581 enum number_type type1, type2;
|
|
|
582
|
|
|
583 if (CHARP (*arg1))
|
|
|
584 *arg1 = make_int (XCHAR (*arg1));
|
|
|
585 else if (MARKERP (*arg1))
|
|
|
586 *arg1 = make_int (marker_position (*arg1));
|
|
|
587 if (CHARP (*arg2))
|
|
|
588 *arg2 = make_int (XCHAR (*arg2));
|
|
|
589 else if (MARKERP (*arg2))
|
|
|
590 *arg2 = make_int (marker_position (*arg2));
|
|
|
591
|
|
|
592 CHECK_NUMBER (*arg1);
|
|
|
593 CHECK_NUMBER (*arg2);
|
|
|
594
|
|
|
595 type1 = get_number_type (*arg1);
|
|
|
596 type2 = get_number_type (*arg2);
|
|
|
597
|
|
|
598 if (type1 < type2)
|
|
|
599 {
|
|
|
600 *arg1 = internal_coerce_number (*arg1, type2,
|
|
|
601 #ifdef HAVE_BIGFLOAT
|
|
|
602 type2 == BIGFLOAT_T
|
|
|
603 ? XBIGFLOAT_GET_PREC (*arg2) :
|
|
|
604 #endif
|
|
|
605 0UL);
|
|
|
606 return type2;
|
|
|
607 }
|
|
|
608
|
|
|
609 if (type2 < type1)
|
|
|
610 {
|
|
|
611 *arg2 = internal_coerce_number (*arg2, type1,
|
|
|
612 #ifdef HAVE_BIGFLOAT
|
|
|
613 type1 == BIGFLOAT_T
|
|
|
614 ? XBIGFLOAT_GET_PREC (*arg1) :
|
|
|
615 #endif
|
|
|
616 0UL);
|
|
|
617 return type1;
|
|
|
618 }
|
|
|
619
|
|
|
620 /* No conversion necessary */
|
|
|
621 return type1;
|
|
|
622 }
|
|
|
623
|
|
|
624 DEFUN ("coerce-number", Fcoerce_number, 2, 3, 0, /*
|
|
|
625 Convert NUMBER to the indicated type, possibly losing information.
|
|
|
626 Do not call this function. Use `coerce' instead.
|
|
|
627
|
|
|
628 TYPE is one of the symbols 'fixnum, 'integer, 'ratio, 'float, or 'bigfloat.
|
|
|
629 Not all of these types may be supported.
|
|
|
630
|
|
|
631 PRECISION is the number of bits of precision to use when converting to
|
|
|
632 bigfloat; it is ignored otherwise. If nil, the default precision is used.
|
|
|
633
|
|
|
634 Note that some conversions lose information. No error is signaled in such
|
|
|
635 cases; the information is silently lost.
|
|
|
636 */
|
|
|
637 (number, type, precision))
|
|
|
638 {
|
|
|
639 CHECK_SYMBOL (type);
|
|
|
640 if (EQ (type, Qfixnum))
|
|
|
641 return internal_coerce_number (number, FIXNUM_T, 0UL);
|
|
|
642 else if (EQ (type, Qinteger))
|
|
|
643 {
|
|
|
644 /* If bignums are available, we always convert to one first, then
|
|
|
645 downgrade to a fixnum if possible. */
|
|
|
646 #ifdef HAVE_BIGNUM
|
|
|
647 return Fcanonicalize_number
|
|
|
648 (internal_coerce_number (number, BIGNUM_T, 0UL));
|
|
|
649 #else
|
|
|
650 return internal_coerce_number (number, FIXNUM_T, 0UL);
|
|
|
651 #endif
|
|
|
652 }
|
|
|
653 #ifdef HAVE_RATIO
|
|
|
654 else if (EQ (type, Qratio))
|
|
|
655 return internal_coerce_number (number, RATIO_T, 0UL);
|
|
|
656 #endif
|
|
|
657 else if (EQ (type, Qfloat))
|
|
|
658 return internal_coerce_number (number, FLOAT_T, 0UL);
|
|
|
659 #ifdef HAVE_BIGFLOAT
|
|
|
660 else if (EQ (type, Qbigfloat))
|
|
|
661 {
|
|
|
662 unsigned long prec;
|
|
|
663
|
|
|
664 if (NILP (precision))
|
|
|
665 prec = bigfloat_get_default_prec ();
|
|
|
666 else
|
|
|
667 {
|
|
|
668 CHECK_INTEGER (precision);
|
|
|
669 #ifdef HAVE_BIGNUM
|
|
|
670 if (INTP (precision))
|
|
|
671 #endif /* HAVE_BIGNUM */
|
|
|
672 prec = (unsigned long) XREALINT (precision);
|
|
|
673 #ifdef HAVE_BIGNUM
|
|
|
674 else
|
|
|
675 {
|
|
|
676 if (!bignum_fits_ulong_p (XBIGNUM_DATA (precision)))
|
|
|
677 args_out_of_range (precision, Vbigfloat_max_prec);
|
|
|
678 prec = bignum_to_ulong (XBIGNUM_DATA (precision));
|
|
|
679 }
|
|
|
680 #endif /* HAVE_BIGNUM */
|
|
|
681 }
|
|
|
682 return internal_coerce_number (number, BIGFLOAT_T, prec);
|
|
|
683 }
|
|
|
684 #endif /* HAVE_BIGFLOAT */
|
|
|
685
|
|
|
686 Fsignal (Qunsupported_type, type);
|
|
|
687 /* NOTREACHED */
|
|
|
688 return Qnil;
|
|
|
689 }
|
|
|
690
|
|
|
691
|
|
|
692 void
|
|
|
693 syms_of_number (void)
|
|
|
694 {
|
|
|
695 #ifdef HAVE_BIGNUM
|
|
|
696 INIT_LRECORD_IMPLEMENTATION (bignum);
|
|
|
697 #endif
|
|
|
698 #ifdef HAVE_RATIO
|
|
|
699 INIT_LRECORD_IMPLEMENTATION (ratio);
|
|
|
700 #endif
|
|
|
701 #ifdef HAVE_BIGFLOAT
|
|
|
702 INIT_LRECORD_IMPLEMENTATION (bigfloat);
|
|
|
703 #endif
|
|
|
704
|
|
|
705 /* Type predicates */
|
|
|
706 DEFSYMBOL (Qintegerp);
|
|
|
707 DEFSYMBOL (Qrationalp);
|
|
|
708 DEFSYMBOL (Qfloatingp);
|
|
|
709 DEFSYMBOL (Qrealp);
|
|
|
710 DEFSYMBOL (Qnumberp);
|
|
|
711 #ifndef HAVE_BIGNUM
|
|
|
712 DEFSYMBOL (Qbignump);
|
|
|
713 #endif
|
|
|
714 #ifndef HAVE_RATIO
|
|
|
715 DEFSYMBOL (Qratiop);
|
|
|
716 #endif
|
|
|
717 #ifndef HAVE_BIGFLOAT
|
|
|
718 DEFSYMBOL (Qbigfloatp);
|
|
|
719 #endif
|
|
|
720
|
|
|
721 /* Functions */
|
|
|
722 DEFSUBR (Fbignump);
|
|
|
723 DEFSUBR (Fintegerp);
|
|
|
724 DEFSUBR (Fevenp);
|
|
|
725 DEFSUBR (Foddp);
|
|
|
726 DEFSUBR (Fratiop);
|
|
|
727 DEFSUBR (Frationalp);
|
|
|
728 DEFSUBR (Fnumerator);
|
|
|
729 DEFSUBR (Fdenominator);
|
|
|
730 DEFSUBR (Fbigfloatp);
|
|
|
731 DEFSUBR (Frealp);
|
|
|
732 DEFSUBR (Fcanonicalize_number);
|
|
|
733 DEFSUBR (Fcoerce_number);
|
|
|
734
|
|
|
735 /* Errors */
|
|
|
736 DEFERROR_STANDARD (Qunsupported_type, Qwrong_type_argument);
|
|
|
737 }
|
|
|
738
|
|
|
739 void
|
|
|
740 vars_of_number (void)
|
|
|
741 {
|
|
|
742 /* This variable is a Lisp variable rather than a number variable so that we
|
|
|
743 can put bignums in it. */
|
|
|
744 DEFVAR_LISP_MAGIC ("default-float-precision", &Vdefault_float_precision, /*
|
|
|
745 The default floating-point precision for newly created floating point values.
|
|
|
746 This should be 0 for the precision of the machine-supported floating point
|
|
|
747 type (the C double type), or an unsigned integer no greater than
|
|
|
748 bigfloat-max-prec (currently the size of a C unsigned long).
|
|
|
749 */ default_float_precision_changed);
|
|
|
750 Vdefault_float_precision = make_int (0);
|
|
|
751
|
|
|
752 DEFVAR_CONST_LISP ("bigfloat-max-prec", &Vbigfloat_max_prec /*
|
|
|
753 The maximum number of bits of precision a bigfloat can have.
|
|
|
754 This is currently the value of ULONG_MAX on the target machine.
|
|
|
755 */);
|
|
|
756
|
|
|
757 DEFVAR_CONST_INT ("most-negative-fixnum", &Vmost_negative_fixnum /*
|
|
|
758 The fixnum closest in value to negative infinity.
|
|
|
759 */);
|
|
|
760 Vmost_negative_fixnum = EMACS_INT_MIN;
|
|
|
761
|
|
|
762 DEFVAR_CONST_INT ("most-positive-fixnum", &Vmost_positive_fixnum /*
|
|
|
763 The fixnum closest in value to positive infinity.
|
|
|
764 */);
|
|
|
765 Vmost_positive_fixnum = EMACS_INT_MAX;
|
|
|
766
|
|
|
767 Fprovide (intern ("number-types"));
|
|
|
768 #ifdef HAVE_BIGNUM
|
|
|
769 Fprovide (intern ("bignum"));
|
|
|
770 #endif
|
|
|
771 #ifdef HAVE_RATIO
|
|
|
772 Fprovide (intern ("ratio"));
|
|
|
773 #endif
|
|
|
774 #ifdef HAVE_BIGFLOAT
|
|
|
775 Fprovide (intern ("bigfloat"));
|
|
|
776 #endif
|
|
|
777 }
|
|
|
778
|
|
|
779 void
|
|
|
780 init_number (void)
|
|
|
781 {
|
|
|
782 if (!number_initialized)
|
|
|
783 {
|
|
|
784 number_initialized = 1;
|
|
|
785
|
|
|
786 #ifdef WITH_GMP
|
|
|
787 init_number_gmp ();
|
|
|
788 #endif
|
|
|
789 #ifdef WITH_MP
|
|
|
790 init_number_mp ();
|
|
|
791 #endif
|
|
|
792
|
|
|
793 #if defined(BIGNUM) && defined(BIGFLOAT)
|
|
|
794 Vbigfloat_max_prec = make_bignum (0L);
|
|
|
795 bignum_set_ulong (XBIGNUM_DATA (Vbigfloat_max_prec), ULONG_MAX);
|
|
|
796 #endif
|
|
|
797
|
|
|
798 #ifdef HAVE_BIGNUM
|
|
|
799 bignum_init (scratch_bignum);
|
|
|
800 bignum_init (scratch_bignum2);
|
|
|
801 #endif
|
|
|
802
|
|
|
803 #ifdef HAVE_RATIO
|
|
|
804 ratio_init (scratch_ratio);
|
|
|
805 #endif
|
|
|
806
|
|
|
807 #ifdef HAVE_BIGFLOAT
|
|
|
808 bigfloat_init (scratch_bigfloat);
|
|
|
809 bigfloat_init (scratch_bigfloat2);
|
|
|
810 #endif
|
|
|
811 }
|
|
|
812 }
|
