| 1 | /* |
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| 2 | * FloatFunctions.java |
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| 3 | * |
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| 4 | * Copyright (C) 2003-2006 Peter Graves |
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| 5 | * $Id: FloatFunctions.java 14465 2013-04-24 12:50:37Z rschlatte $ |
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| 6 | * |
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| 7 | * This program is free software; you can redistribute it and/or |
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| 8 | * modify it under the terms of the GNU General Public License |
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| 9 | * as published by the Free Software Foundation; either version 2 |
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| 10 | * of the License, or (at your option) any later version. |
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| 11 | * |
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| 12 | * This program is distributed in the hope that it will be useful, |
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| 13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 15 | * GNU General Public License for more details. |
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| 16 | * |
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| 17 | * You should have received a copy of the GNU General Public License |
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| 18 | * along with this program; if not, write to the Free Software |
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| 19 | * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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| 20 | * |
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| 21 | * As a special exception, the copyright holders of this library give you |
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| 22 | * permission to link this library with independent modules to produce an |
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| 23 | * executable, regardless of the license terms of these independent |
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| 24 | * modules, and to copy and distribute the resulting executable under |
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| 25 | * terms of your choice, provided that you also meet, for each linked |
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| 26 | * independent module, the terms and conditions of the license of that |
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| 27 | * module. An independent module is a module which is not derived from |
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| 28 | * or based on this library. If you modify this library, you may extend |
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| 29 | * this exception to your version of the library, but you are not |
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| 30 | * obligated to do so. If you do not wish to do so, delete this |
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| 31 | * exception statement from your version. |
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| 32 | */ |
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| 33 | |
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| 34 | package org.armedbear.lisp; |
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| 35 | |
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| 36 | import static org.armedbear.lisp.Lisp.*; |
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| 37 | |
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| 38 | import java.math.BigInteger; |
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| 39 | |
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| 40 | public final class FloatFunctions |
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| 41 | { |
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| 42 | // ### set-floating-point-modes &key traps => <no values> |
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| 43 | private static final Primitive SET_FLOATING_POINT_MODES = |
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| 44 | new Primitive("set-floating-point-modes", PACKAGE_EXT, true, |
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| 45 | "&key traps") |
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| 46 | { |
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| 47 | @Override |
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| 48 | public LispObject execute(LispObject[] args) |
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| 49 | { |
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| 50 | if (args.length % 2 != 0) |
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| 51 | program_error("Odd number of keyword arguments."); |
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| 52 | for (int i = 0; i < args.length; i += 2) { |
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| 53 | LispObject key = checkSymbol(args[i]); |
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| 54 | LispObject value = args[i+1]; |
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| 55 | if (key == Keyword.TRAPS) { |
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| 56 | boolean trap_overflow = false; |
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| 57 | boolean trap_underflow = false; |
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| 58 | while (value != NIL) { |
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| 59 | LispObject car = value.car(); |
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| 60 | if (car == Keyword.OVERFLOW) |
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| 61 | trap_overflow = true; |
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| 62 | else if (car == Keyword.UNDERFLOW) |
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| 63 | trap_underflow = true; |
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| 64 | else |
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| 65 | error(new LispError("Unsupported floating point trap: " + |
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| 66 | car.princToString())); |
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| 67 | value = value.cdr(); |
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| 68 | } |
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| 69 | TRAP_OVERFLOW = trap_overflow; |
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| 70 | TRAP_UNDERFLOW = trap_underflow; |
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| 71 | } else |
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| 72 | error(new LispError("Unrecognized keyword: " + key.princToString())); |
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| 73 | } |
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| 74 | return LispThread.currentThread().nothing(); |
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| 75 | } |
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| 76 | }; |
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| 77 | |
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| 78 | // ### get-floating-point-modes => modes |
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| 79 | private static final Primitive GET_FLOATING_POINT_MODES = |
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| 80 | new Primitive("get-floating-point-modes", PACKAGE_EXT, true, "") |
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| 81 | { |
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| 82 | @Override |
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| 83 | public LispObject execute() |
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| 84 | { |
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| 85 | LispObject traps = NIL; |
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| 86 | if (TRAP_UNDERFLOW) |
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| 87 | traps = traps.push(Keyword.UNDERFLOW); |
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| 88 | if (TRAP_OVERFLOW) |
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| 89 | traps = traps.push(Keyword.OVERFLOW); |
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| 90 | return list(Keyword.TRAPS, traps); |
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| 91 | } |
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| 92 | }; |
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| 93 | |
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| 94 | // ### integer-decode-float float => significand, exponent, integer-sign |
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| 95 | private static final Primitive INTEGER_DECODE_FLOAT = |
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| 96 | new Primitive("integer-decode-float", "float") |
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| 97 | { |
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| 98 | // (defun sane-integer-decode-float (float) |
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| 99 | // (multiple-value-bind (mantissa exp sign) |
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| 100 | // (integer-decode-float float) |
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| 101 | // (let ((fixup (- (integer-length mantissa) (float-precision float)))) |
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| 102 | // (values (ash mantissa (- fixup)) |
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| 103 | // (+ exp fixup) |
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| 104 | // sign)))) |
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| 105 | |
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| 106 | // See also: http://paste.lisp.org/display/10847 |
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| 107 | |
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| 108 | @Override |
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| 109 | public LispObject execute(LispObject arg) |
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| 110 | { |
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| 111 | if (arg instanceof SingleFloat) { |
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| 112 | int bits = |
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| 113 | Float.floatToRawIntBits(((SingleFloat)arg).value); |
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| 114 | int s = ((bits >> 31) == 0) ? 1 : -1; |
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| 115 | int e = (int) ((bits >> 23) & 0xffL); |
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| 116 | int m; |
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| 117 | if (e == 0) |
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| 118 | m = (bits & 0x7fffff) << 1; |
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| 119 | else |
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| 120 | m = (bits & 0x7fffff) | 0x800000; |
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| 121 | LispObject significand = number(m); |
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| 122 | Fixnum exponent = Fixnum.getInstance(e - 150); |
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| 123 | Fixnum sign = Fixnum.getInstance(s); |
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| 124 | return LispThread.currentThread().setValues(significand, |
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| 125 | exponent, |
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| 126 | sign); |
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| 127 | } |
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| 128 | if (arg instanceof DoubleFloat) { |
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| 129 | long bits = |
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| 130 | Double.doubleToRawLongBits((double)((DoubleFloat)arg).value); |
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| 131 | int s = ((bits >> 63) == 0) ? 1 : -1; |
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| 132 | int e = (int) ((bits >> 52) & 0x7ffL); |
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| 133 | long m; |
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| 134 | if (e == 0) |
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| 135 | m = (bits & 0xfffffffffffffL) << 1; |
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| 136 | else |
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| 137 | m = (bits & 0xfffffffffffffL) | 0x10000000000000L; |
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| 138 | LispObject significand = number(m); |
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| 139 | Fixnum exponent = Fixnum.getInstance(e - 1075); |
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| 140 | Fixnum sign = Fixnum.getInstance(s); |
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| 141 | return LispThread.currentThread().setValues(significand, |
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| 142 | exponent, |
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| 143 | sign); |
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| 144 | } |
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| 145 | return type_error(arg, Symbol.FLOAT); |
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| 146 | } |
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| 147 | }; |
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| 148 | |
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| 149 | // ### %float-bits float => integer |
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| 150 | private static final Primitive _FLOAT_BITS = |
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| 151 | new Primitive("%float-bits", PACKAGE_SYS, true, "integer") |
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| 152 | { |
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| 153 | @Override |
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| 154 | public LispObject execute(LispObject arg) |
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| 155 | { |
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| 156 | if (arg instanceof SingleFloat) { |
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| 157 | int bits = Float.floatToIntBits(((SingleFloat)arg).value); |
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| 158 | BigInteger big = BigInteger.valueOf(bits >> 1); |
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| 159 | return Bignum.getInstance(big.shiftLeft(1).add(((bits & 1) == 1) ? BigInteger.ONE : BigInteger.ZERO)); |
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| 160 | } |
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| 161 | if (arg instanceof DoubleFloat) { |
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| 162 | long bits = Double.doubleToLongBits(((DoubleFloat)arg).value); |
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| 163 | BigInteger big = BigInteger.valueOf(bits >> 1); |
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| 164 | return Bignum.getInstance(big.shiftLeft(1).add(((bits & 1) == 1) ? BigInteger.ONE : BigInteger.ZERO)); |
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| 165 | } |
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| 166 | return type_error(arg, Symbol.FLOAT); |
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| 167 | } |
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| 168 | }; |
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| 169 | |
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| 170 | // ### rational |
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| 171 | private static final Primitive RATIONAL = |
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| 172 | new Primitive("rational", "number") |
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| 173 | { |
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| 174 | @Override |
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| 175 | public LispObject execute(LispObject arg) |
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| 176 | { |
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| 177 | if (arg instanceof SingleFloat) |
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| 178 | return ((SingleFloat)arg).rational(); |
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| 179 | if (arg instanceof DoubleFloat) |
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| 180 | return ((DoubleFloat)arg).rational(); |
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| 181 | if (arg.rationalp()) |
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| 182 | return arg; |
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| 183 | return type_error(arg, Symbol.REAL); |
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| 184 | } |
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| 185 | }; |
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| 186 | |
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| 187 | // ### float-radix |
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| 188 | // float-radix float => float-radix |
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| 189 | private static final Primitive FLOAT_RADIX = |
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| 190 | new Primitive("float-radix", "float") |
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| 191 | { |
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| 192 | @Override |
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| 193 | public LispObject execute(LispObject arg) |
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| 194 | { |
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| 195 | if (arg instanceof SingleFloat || arg instanceof DoubleFloat) |
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| 196 | return Fixnum.TWO; |
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| 197 | return type_error(arg, Symbol.FLOAT); |
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| 198 | } |
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| 199 | }; |
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| 200 | |
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| 201 | static final Fixnum FIXNUM_24 = Fixnum.getInstance(24); |
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| 202 | static final Fixnum FIXNUM_53 = Fixnum.getInstance(53); |
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| 203 | |
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| 204 | // ### float-digits |
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| 205 | // float-digits float => float-digits |
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| 206 | private static final Primitive FLOAT_DIGITS = |
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| 207 | new Primitive("float-digits", "float") |
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| 208 | { |
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| 209 | @Override |
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| 210 | public LispObject execute(LispObject arg) |
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| 211 | { |
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| 212 | if (arg instanceof SingleFloat) |
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| 213 | return FIXNUM_24; |
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| 214 | if (arg instanceof DoubleFloat) |
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| 215 | return FIXNUM_53; |
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| 216 | return type_error(arg, Symbol.FLOAT); |
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| 217 | } |
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| 218 | }; |
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| 219 | |
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| 220 | // ### scale-float float integer => scaled-float |
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| 221 | private static final Primitive SCALE_FLOAT = |
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| 222 | new Primitive("scale-float", "float integer") |
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| 223 | { |
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| 224 | @Override |
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| 225 | public LispObject execute(LispObject first, LispObject second) |
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| 226 | |
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| 227 | { |
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| 228 | if (first instanceof SingleFloat) { |
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| 229 | float f = ((SingleFloat)first).value; |
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| 230 | int n = Fixnum.getValue(second); |
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| 231 | return new SingleFloat(f * (float) Math.pow(2, n)); |
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| 232 | } |
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| 233 | if (first instanceof DoubleFloat) { |
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| 234 | double d = ((DoubleFloat)first).value; |
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| 235 | int n = Fixnum.getValue(second); |
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| 236 | return new DoubleFloat(d * Math.pow(2, n)); |
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| 237 | } |
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| 238 | return type_error(first, Symbol.FLOAT); |
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| 239 | } |
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| 240 | }; |
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| 241 | |
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| 242 | // ### coerce-to-single-float |
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| 243 | private static final Primitive COERCE_TO_SINGLE_FLOAT = |
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| 244 | new Primitive("coerce-to-single-float", PACKAGE_SYS, false) |
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| 245 | { |
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| 246 | @Override |
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| 247 | public LispObject execute(LispObject arg) |
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| 248 | { |
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| 249 | return SingleFloat.coerceToFloat(arg); |
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| 250 | } |
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| 251 | }; |
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| 252 | |
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| 253 | // ### coerce-to-double-float |
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| 254 | private static final Primitive COERCE_TO_DOUBLE_FLOAT = |
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| 255 | new Primitive("coerce-to-double-float", PACKAGE_SYS, false) |
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| 256 | { |
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| 257 | @Override |
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| 258 | public LispObject execute(LispObject arg) |
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| 259 | { |
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| 260 | return DoubleFloat.coerceToFloat(arg); |
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| 261 | } |
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| 262 | }; |
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| 263 | |
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| 264 | // ### float |
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| 265 | // float number &optional prototype => float |
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| 266 | private static final Primitive FLOAT = |
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| 267 | new Primitive("float", "number &optional prototype") |
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| 268 | { |
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| 269 | @Override |
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| 270 | public LispObject execute(LispObject arg) |
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| 271 | { |
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| 272 | if (arg instanceof SingleFloat || arg instanceof DoubleFloat) |
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| 273 | return arg; |
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| 274 | return SingleFloat.coerceToFloat(arg); |
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| 275 | } |
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| 276 | @Override |
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| 277 | public LispObject execute(LispObject first, LispObject second) |
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| 278 | |
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| 279 | { |
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| 280 | if (second instanceof SingleFloat) |
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| 281 | return SingleFloat.coerceToFloat(first); |
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| 282 | if (second instanceof DoubleFloat) |
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| 283 | return DoubleFloat.coerceToFloat(first); |
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| 284 | return type_error(second, Symbol.FLOAT); |
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| 285 | } |
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| 286 | }; |
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| 287 | |
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| 288 | // ### floatp |
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| 289 | // floatp object => generalized-boolean |
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| 290 | private static final Primitive FLOATP = new Primitive("floatp", "object") |
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| 291 | { |
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| 292 | @Override |
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| 293 | public LispObject execute(LispObject arg) |
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| 294 | { |
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| 295 | if (arg instanceof SingleFloat) |
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| 296 | return T; |
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| 297 | if (arg instanceof DoubleFloat) |
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| 298 | return T; |
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| 299 | return NIL; |
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| 300 | } |
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| 301 | }; |
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| 302 | |
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| 303 | // ### single-float-bits |
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| 304 | private static final Primitive SINGLE_FLOAT_BITS = |
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| 305 | new Primitive("single-float-bits", PACKAGE_SYS, true, "float") |
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| 306 | { |
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| 307 | @Override |
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| 308 | public LispObject execute(LispObject arg) |
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| 309 | { |
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| 310 | if (arg instanceof SingleFloat) { |
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| 311 | SingleFloat f = (SingleFloat) arg; |
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| 312 | return Fixnum.getInstance(Float.floatToIntBits(f.value)); |
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| 313 | } |
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| 314 | return type_error(arg, Symbol.FLOAT); |
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| 315 | } |
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| 316 | }; |
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| 317 | |
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| 318 | // ### double-float-high-bits |
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| 319 | private static final Primitive DOUBLE_FLOAT_HIGH_BITS = |
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| 320 | new Primitive("double-float-high-bits", PACKAGE_SYS, true, "float") |
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| 321 | { |
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| 322 | @Override |
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| 323 | public LispObject execute(LispObject arg) |
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| 324 | { |
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| 325 | if (arg instanceof DoubleFloat) { |
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| 326 | DoubleFloat f = (DoubleFloat) arg; |
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| 327 | return number(Double.doubleToLongBits(f.value) >>> 32); |
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| 328 | } |
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| 329 | return type_error(arg, Symbol.DOUBLE_FLOAT); |
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| 330 | } |
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| 331 | }; |
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| 332 | |
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| 333 | // ### double-float-low-bits |
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| 334 | private static final Primitive DOUBLE_FLOAT_LOW_BITS = |
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| 335 | new Primitive("double-float-low-bits", PACKAGE_SYS, true, "float") |
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| 336 | { |
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| 337 | @Override |
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| 338 | public LispObject execute(LispObject arg) |
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| 339 | { |
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| 340 | if (arg instanceof DoubleFloat) { |
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| 341 | DoubleFloat f = (DoubleFloat) arg; |
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| 342 | return number(Double.doubleToLongBits(f.value) & 0xffffffffL); |
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| 343 | } |
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| 344 | return type_error(arg, Symbol.DOUBLE_FLOAT); |
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| 345 | } |
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| 346 | }; |
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| 347 | |
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| 348 | // ### make-single-float bits => float |
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| 349 | private static final Primitive MAKE_SINGLE_FLOAT = |
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| 350 | new Primitive("make-single-float", PACKAGE_SYS, true, "bits") |
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| 351 | { |
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| 352 | @Override |
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| 353 | public LispObject execute(LispObject arg) |
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| 354 | |
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| 355 | { |
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| 356 | if (arg instanceof Fixnum) { |
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| 357 | int bits = ((Fixnum)arg).value; |
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| 358 | return new SingleFloat(Float.intBitsToFloat(bits)); |
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| 359 | } |
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| 360 | if (arg instanceof Bignum) { |
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| 361 | long bits = ((Bignum)arg).value.longValue(); |
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| 362 | return new SingleFloat(Float.intBitsToFloat((int)bits)); |
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| 363 | } |
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| 364 | return type_error(arg, Symbol.INTEGER); |
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| 365 | } |
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| 366 | }; |
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| 367 | |
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| 368 | // ### make-double-float bits => float |
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| 369 | private static final Primitive MAKE_DOUBLE_FLOAT = |
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| 370 | new Primitive("make-double-float", PACKAGE_SYS, true, "bits") |
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| 371 | { |
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| 372 | @Override |
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| 373 | public LispObject execute(LispObject arg) |
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| 374 | |
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| 375 | { |
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| 376 | if (arg instanceof Fixnum) { |
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| 377 | long bits = (long) ((Fixnum)arg).value; |
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| 378 | return new DoubleFloat(Double.longBitsToDouble(bits)); |
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| 379 | } |
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| 380 | if (arg instanceof Bignum) { |
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| 381 | long bits = ((Bignum)arg).value.longValue(); |
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| 382 | return new DoubleFloat(Double.longBitsToDouble(bits)); |
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| 383 | } |
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| 384 | return type_error(arg, Symbol.INTEGER); |
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| 385 | } |
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| 386 | }; |
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| 387 | |
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| 388 | // ### float-infinity-p |
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| 389 | private static final Primitive FLOAT_INFINITY_P = |
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| 390 | new Primitive("float-infinity-p", PACKAGE_SYS, true) |
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| 391 | { |
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| 392 | @Override |
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| 393 | public LispObject execute(LispObject arg) |
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| 394 | |
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| 395 | { |
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| 396 | if (arg instanceof SingleFloat) |
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| 397 | return Float.isInfinite(((SingleFloat)arg).value) ? T : NIL; |
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| 398 | if (arg instanceof DoubleFloat) |
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| 399 | return Double.isInfinite(((DoubleFloat)arg).value) ? T : NIL; |
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| 400 | return type_error(arg, Symbol.FLOAT); |
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| 401 | } |
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| 402 | }; |
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| 403 | |
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| 404 | // ### float-nan-p |
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| 405 | private static final Primitive FLOAT_NAN_P = |
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| 406 | new Primitive("float-nan-p", PACKAGE_SYS, true) |
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| 407 | { |
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| 408 | @Override |
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| 409 | public LispObject execute(LispObject arg) |
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| 410 | |
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| 411 | { |
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| 412 | if (arg instanceof SingleFloat) |
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| 413 | return Float.isNaN(((SingleFloat)arg).value) ? T : NIL; |
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| 414 | if (arg instanceof DoubleFloat) |
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| 415 | return Double.isNaN(((DoubleFloat)arg).value) ? T : NIL; |
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| 416 | return type_error(arg, Symbol.FLOAT); |
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| 417 | } |
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| 418 | }; |
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| 419 | |
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| 420 | // ### float-string |
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| 421 | private static final Primitive FLOAT_STRING = |
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| 422 | new Primitive("float-string", PACKAGE_SYS, true) |
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| 423 | { |
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| 424 | @Override |
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| 425 | public LispObject execute(LispObject arg) |
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| 426 | { |
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| 427 | final String s1; |
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| 428 | if (arg instanceof SingleFloat) |
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| 429 | s1 = String.valueOf(((SingleFloat)arg).value); |
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| 430 | else if (arg instanceof DoubleFloat) |
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| 431 | s1 = String.valueOf(((DoubleFloat)arg).value); |
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| 432 | else |
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| 433 | return type_error(arg, Symbol.FLOAT); |
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| 434 | int i = s1.indexOf('E'); |
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| 435 | if (i < 0) |
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| 436 | return new SimpleString(s1); |
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| 437 | String s2 = s1.substring(0, i); |
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| 438 | int exponent = Integer.parseInt(s1.substring(i + 1)); |
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| 439 | if (exponent == 0) |
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| 440 | return new SimpleString(s2); |
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| 441 | int index = s2.indexOf('.'); |
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| 442 | if (index < 0) |
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| 443 | return new SimpleString(s2); |
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| 444 | StringBuffer sb = new StringBuffer(s2); |
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| 445 | if (index >= 0) |
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| 446 | sb.deleteCharAt(index); |
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| 447 | // Now we've got just the digits in the StringBuffer. |
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| 448 | if (exponent > 0) { |
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| 449 | int newIndex = index + exponent; |
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| 450 | if (newIndex < sb.length()) |
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| 451 | sb.insert(newIndex, '.'); |
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| 452 | else if (newIndex == sb.length()) |
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| 453 | sb.append('.'); |
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| 454 | else { |
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| 455 | // We need to add some zeros. |
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| 456 | while (newIndex > sb.length()) |
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| 457 | sb.append('0'); |
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| 458 | sb.append('.'); |
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| 459 | } |
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| 460 | } else { |
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| 461 | Debug.assertTrue(exponent < 0); |
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| 462 | int newIndex = index + exponent; |
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| 463 | while (newIndex < 0) { |
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| 464 | sb.insert(0, '0'); |
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| 465 | ++newIndex; |
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| 466 | } |
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| 467 | sb.insert(0, '.'); |
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| 468 | } |
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| 469 | return new SimpleString(sb.toString()); |
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| 470 | } |
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| 471 | }; |
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| 472 | } |
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