-
Notifications
You must be signed in to change notification settings - Fork 3
/
number.rkt
217 lines (167 loc) · 9.19 KB
/
number.rkt
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
#lang typed/racket/base
(provide (all-defined-out))
(provide (rename-out [string+>integer string->natural]))
(provide (all-from-out "digitama/predicate.rkt"))
(provide msb-bytes->float lsb-bytes->float
msb-bytes->double lsb-bytes->double)
(require "digitama/unsafe/number.rkt")
(require "digitama/predicate.rkt")
(require "digitama/number.rkt")
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define string->byte : (->* (String) (Integer) (Option Byte))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (byte? n) n)))
(define string->index : (->* (String) (Integer) (Option Index))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (index? n) n)))
(define string->integer : (->* (String) (Integer) (Option Integer))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (exact-integer? n) n)))
(define string+>integer : (->* (String) (Integer) (Option Natural))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (exact-nonnegative-integer? n) n)))
(define string->fixnum : (->* (String) (Integer) (Option Fixnum))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (fixnum? n) n)))
(define string+>fixnum : (->* (String) (Integer) (Option Nonnegative-Fixnum))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (nonnegative-fixnum? n) n)))
(define string->real : (->* (String) (Integer) (Option Real))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (real? n) n)))
(define string+>real : (->* (String) (Integer) (Option Nonnegative-Real))
(lambda [str.n [radix 10]]
(define n (string->number str.n radix))
(and (real? n) (>= n 0) n)))
(define string->flonum : (->* (String) (Integer) (Option Flonum))
(lambda [str.n [radix 10]]
(define r (string->real str.n radix))
(and r (real->double-flonum r))))
(define string+>flonum : (->* (String) (Integer) (Option Nonnegative-Flonum))
(lambda [str.n [radix 10]]
(define r (string+>real str.n radix))
(and r (real->double-flonum r))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define use-bytes+offset : (->* ((Option Bytes) Natural Natural) (Byte Boolean) (values Bytes Index))
(lambda [pool0 size offset0 [b #x00] [fill? #false]]
(cond [(not pool0) (values (make-bytes size b) 0)]
[else (let* ([end-idx (bytes-length pool0)]
[start (if (< offset0 end-idx) offset0 end-idx)])
(unless(not fill?)
(for ([idx (in-range start (+ start size))])
(bytes-set! pool0 idx b)))
(values pool0 start))])))
(define bytes-range-end : (-> Bytes Natural Natural Index)
(lambda [bs start end-hint]
; NOTE: this implementation may conceal bugs when decoding integers following mismatched length tag
(define end-max : Index (bytes-length bs))
(cond [(<= end-hint start) end-max]
[(<= end-hint end-max) end-hint]
[else end-max])))
(define network-natural-bytes++ : (->* (Bytes) (Natural Natural) Void)
(lambda [mpint [start 0] [end0 0]]
(define end : Index (bytes-range-end mpint start end0))
(let i++ ([idx : Fixnum (- end 1)])
(when (>= idx start)
(let ([v (bytes-ref mpint idx)])
(cond [(< v #xFF) (bytes-set! mpint idx (+ v 1))]
[else (bytes-set! mpint idx 0)
(i++ (- idx 1))]))))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define-bytes->integer*
[msb-bytes->octet [msb-bytes->int8 #:-> Fixnum] [msb-bytes->uint8 #:-> Byte]]
[msb-bytes->short [msb-bytes->int16 #:-> Fixnum] [msb-bytes->uint16 #:-> Index]]
[msb-bytes->int [msb-bytes->int32 #:-> Fixnum] [msb-bytes->uint32 #:-> Index]]
[msb-bytes->long [msb-bytes->int64 #:-> Integer] [msb-bytes->uint64 #:-> Natural]])
(define-bytes->integer*
[lsb-bytes->octet [lsb-bytes->int8 #:-> Fixnum] [lsb-bytes->uint8 #:-> Byte]]
[lsb-bytes->short [lsb-bytes->int16 #:-> Fixnum] [lsb-bytes->uint16 #:-> Index]]
[lsb-bytes->int [lsb-bytes->int32 #:-> Fixnum] [lsb-bytes->uint32 #:-> Index]]
[lsb-bytes->long [lsb-bytes->int64 #:-> Integer] [lsb-bytes->uint64 #:-> Natural]])
(define-bytes->integer msb-bytes->size msb-bytes->index [size : Integer] #:-> Index)
(define-bytes->integer lsb-bytes->size lsb-bytes->index [size : Integer] #:-> Index)
(define-integer->bytes* fixed-integer->bytes #true
[1 [msb-int8->bytes] [msb-uint8->bytes]]
[2 [msb-int16->bytes] [msb-uint16->bytes]]
[4 [msb-int32->bytes] [msb-uint32->bytes]]
[8 [msb-int64->bytes] [msb-uint64->bytes]])
(define-integer->bytes* fixed-integer->bytes #false
[1 [lsb-int8->bytes] [lsb-uint8->bytes]]
[2 [lsb-int16->bytes] [lsb-uint16->bytes]]
[4 [lsb-int32->bytes] [lsb-uint32->bytes]]
[8 [lsb-int64->bytes] [lsb-uint64->bytes]])
(define msb-size->bytes : (case-> [-> Integer Byte Bytes]
[->* (Integer Byte Bytes) (Natural) Natural])
(case-lambda
[(n size) (fixed-integer->bytes n size #false #true)]
[(n size bs) (fixed-integer->bytes n size #false #true bs 0)]
[(n size bs offset) (fixed-integer->bytes n size #false #true bs offset)]))
(define lsb-size->bytes : (case-> [-> Integer Byte Bytes]
[->* (Integer Byte Bytes) (Natural) Natural])
(case-lambda
[(n size) (fixed-integer->bytes n size #false #false)]
[(n size bs) (fixed-integer->bytes n size #false #false bs 0)]
[(n size bs offset) (fixed-integer->bytes n size #false #false bs offset)]))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define integer->network-bytes : (->* (Integer) (Index (Option Bytes) Natural) Bytes)
(lambda [mpint [bsize0 0] [bmpint0 #false] [offset0 0]]
(define isize : Index (integer-bytes-length mpint))
(define bsize : Index (if (<= isize bsize0) bsize0 isize))
(define-values (bmpint offset) (use-bytes+offset bmpint0 bsize offset0))
(integer->msb-octets mpint #: (Integer bsize) #:-> bmpint #:at offset)))
(define network-bytes->integer : (->* (Bytes) (Natural Natural) Integer)
(lambda [bmpint [start 0] [end0 0]]
(define end : Index (bytes-range-end bmpint start end0))
(msb-octets->integer bmpint #:from start #:to end #:-> Integer
#:with (if (>= (bytes-ref bmpint start) #b10000000) -1 0))))
(define natural->network-bytes : (->* (Natural) (Index (Option Bytes) Natural) Bytes)
(lambda [mpint [bsize0 0] [bmpint0 #false] [offset0 0]]
(define nsize : Index (natural-bytes-length mpint))
(define bsize : Index (if (<= nsize bsize0) bsize0 nsize))
(define-values (bmpint offset) (use-bytes+offset bmpint0 bsize offset0))
(integer->msb-octets mpint #: (Natural bsize) #:-> bmpint #:at offset)))
(define network-bytes->natural : (->* (Bytes) (Natural Natural) Natural)
(lambda [bmpint [start 0] [end0 0]]
(define end : Index (bytes-range-end bmpint start end0))
(msb-octets->integer bmpint #:from start #:to end #:-> Natural #:with 0)))
(define integer->memory-bytes : (->* (Integer) (Index (Option Bytes) Natural) Bytes)
(lambda [mpint [bsize0 0] [bmpint0 #false] [offset0 0]]
(define isize : Index (integer-bytes-length mpint))
(define bsize : Index (if (<= isize bsize0) bsize0 isize))
(define-values (bmpint offset) (use-bytes+offset bmpint0 bsize offset0))
(integer->lsb-octets mpint #: (Integer bsize) #:-> bmpint #:at offset)))
(define memory-bytes->integer : (->* (Bytes) (Natural Natural) Integer)
(lambda [bmpint [start 0] [end0 0]]
(define end : Index (bytes-range-end bmpint start end0))
(lsb-octets->integer bmpint #:from start #:to end #:-> Integer
#:with (let ([sign-idx (- end 1)])
(if (and (>= sign-idx 0)
(>= (bytes-ref bmpint sign-idx) #b10000000))
-1 0)))))
(define natural->memory-bytes : (->* (Natural) (Index (Option Bytes) Natural) Bytes)
(lambda [mpint [bsize0 0] [bmpint0 #false] [offset0 0]]
(define nsize : Index (natural-bytes-length mpint))
(define bsize : Index (if (<= nsize bsize0) bsize0 nsize))
(define-values (bmpint offset) (use-bytes+offset bmpint0 bsize offset0))
(integer->lsb-octets mpint #: (Natural bsize) #:-> bmpint #:at offset)))
(define memory-bytes->natural : (->* (Bytes) (Natural Natural) Natural)
(lambda [bmpint [start 0] [end0 0]]
(define end : Index (bytes-range-end bmpint start end0))
(lsb-octets->integer bmpint #:from start #:to end #:-> Natural #:with 0)))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define bits-bytes-length : (-> Natural Index)
(lambda [bits]
(arithmetic-shift (assert (+ bits 7) index?) -3)))
(define integer-bytes-length : (-> Integer Index)
(lambda [mpint]
(bits-bytes-length (+ (integer-length mpint) 1 #|for sign bit|#))))
(define natural-bytes-length : (-> Natural Index)
(lambda [mpint]
(bits-bytes-length (integer-length mpint))))