1 | ; $Id: exp.asm 98103 2023-01-17 14:15:46Z vboxsync $
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2 | ;; @file
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3 | ; IPRT - No-CRT exp - AMD64 & X86.
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4 | ;
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5 |
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6 | ;
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7 | ; Copyright (C) 2006-2023 Oracle and/or its affiliates.
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8 | ;
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9 | ; This file is part of VirtualBox base platform packages, as
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10 | ; available from https://www.virtualbox.org.
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11 | ;
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12 | ; This program is free software; you can redistribute it and/or
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13 | ; modify it under the terms of the GNU General Public License
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14 | ; as published by the Free Software Foundation, in version 3 of the
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15 | ; License.
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16 | ;
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17 | ; This program is distributed in the hope that it will be useful, but
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18 | ; WITHOUT ANY WARRANTY; without even the implied warranty of
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19 | ; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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20 | ; General Public License for more details.
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21 | ;
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22 | ; You should have received a copy of the GNU General Public License
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23 | ; along with this program; if not, see <https://www.gnu.org/licenses>.
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24 | ;
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25 | ; The contents of this file may alternatively be used under the terms
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26 | ; of the Common Development and Distribution License Version 1.0
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27 | ; (CDDL), a copy of it is provided in the "COPYING.CDDL" file included
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28 | ; in the VirtualBox distribution, in which case the provisions of the
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29 | ; CDDL are applicable instead of those of the GPL.
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30 | ;
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31 | ; You may elect to license modified versions of this file under the
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32 | ; terms and conditions of either the GPL or the CDDL or both.
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33 | ;
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34 | ; SPDX-License-Identifier: GPL-3.0-only OR CDDL-1.0
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35 | ;
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36 |
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37 |
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38 | %define RT_ASM_WITH_SEH64
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39 | %include "iprt/asmdefs.mac"
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40 | %include "iprt/x86.mac"
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41 |
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42 |
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43 | BEGINCODE
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44 |
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45 | extern NAME(RT_NOCRT(feraiseexcept))
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46 |
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47 | ;;
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48 | ; Compute the e (2.7182818...) to the power of rd.
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49 | ; @returns st(0) / xmm0
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50 | ; @param rd [xSP + xCB*2] / xmm0
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51 | RT_NOCRT_BEGINPROC exp
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52 | push xBP
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53 | SEH64_PUSH_xBP
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54 | mov xBP, xSP
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55 | SEH64_SET_FRAME_xBP 0
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56 | sub xSP, 20h
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57 | SEH64_ALLOCATE_STACK 20h
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58 | SEH64_END_PROLOGUE
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59 |
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60 | ;
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61 | ; Load the input into st0.
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62 | ;
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63 | %ifdef RT_ARCH_AMD64
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64 | movsd [xBP - 10h], xmm0
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65 | fld qword [xBP - 10h]
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66 | %else
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67 | fld qword [xBP + xCB*2]
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68 | %endif
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69 |
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70 | ;
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71 | ; Weed out non-normal values.
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72 | ;
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73 | fxam
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74 | fnstsw ax
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75 | mov cx, ax
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76 | and ax, X86_FSW_C3 | X86_FSW_C2 | X86_FSW_C0
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77 | cmp ax, X86_FSW_C2 ; Normal finite number (excluding zero)
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78 | je .finite
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79 | cmp ax, X86_FSW_C3 ; Zero
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80 | je .zero
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81 | cmp ax, X86_FSW_C3 | X86_FSW_C2 ; Denormals
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82 | je .finite
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83 | cmp ax, X86_FSW_C0 | X86_FSW_C2 ; Infinity.
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84 | je .inf
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85 | jmp .nan
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86 |
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87 | .finite:
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88 | ;
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89 | ; Convert to power of 2 and it'll be the same as exp2.
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90 | ;
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91 | fldl2e ; -> st0=log2(e); st1=input
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92 | fmulp ; -> st0=input*log2(e)
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93 |
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94 | ;
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95 | ; Split the job in two on the fraction and integer input parts.
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96 | ;
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97 | fld st0 ; Push a copy of the input on the stack.
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98 | frndint ; st0 = (int)(input*log2(e))
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99 | fsub st1, st0 ; st1 = input*log2(e) - (int)input*log2(e); i.e. st1 = fraction, st0 = integer.
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100 | fxch ; st0 = fraction, st1 = integer.
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101 |
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102 | ; 1. Calculate on the fraction.
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103 | f2xm1 ; st0 = 2**fraction - 1.0
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104 | fld1
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105 | faddp ; st0 = 2**fraction
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106 |
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107 | ; 2. Apply the integer power of two.
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108 | fscale ; st0 = result; st1 = integer part of input.
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109 | fstp st1 ; st0 = result; no st1.
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110 |
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111 | ;
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112 | ; Return st0.
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113 | ;
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114 | .return_val:
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115 | %ifdef RT_ARCH_AMD64
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116 | fstp qword [xBP - 10h]
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117 | movsd xmm0, [xBP - 10h]
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118 | %endif
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119 | .return:
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120 | leave
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121 | ret
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122 |
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123 | ;
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124 | ; +/-0.0: Return +1.0
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125 | ;
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126 | .zero:
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127 | ffreep st0
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128 | fld1
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129 | jmp .return_val
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130 |
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131 | ;
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132 | ; -Inf: Return +0.0.
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133 | ; +Inf: Return +Inf. Join path with NaN.
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134 | ;
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135 | .inf:
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136 | test cx, X86_FSW_C1 ; sign bit
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137 | jz .nan
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138 | ffreep st0
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139 | fldz
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140 | jmp .return_val
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141 |
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142 | ;
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143 | ; NaN: Return the input NaN value as is, if we can.
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144 | ;
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145 | .nan:
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146 | %ifdef RT_ARCH_AMD64
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147 | ffreep st0
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148 | %endif
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149 | jmp .return
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150 | ENDPROC RT_NOCRT(exp)
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151 |
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