@@ -11,74 +11,216 @@ fn assert_eq<T: PartialEq + Debug>(x: T, y: T) {
1111}
1212
1313fn main ( ) {
14+ basic ( ) ;
15+ casts ( ) ;
16+ ops ( ) ;
17+ }
18+
19+ fn basic ( ) {
1420 // basic arithmetic
1521 assert_eq ( 6.0_f32 * 6.0_f32 , 36.0_f32 ) ;
1622 assert_eq ( 6.0_f64 * 6.0_f64 , 36.0_f64 ) ;
1723 assert_eq ( -{ 5.0_f32 } , -5.0_f32 ) ;
1824 assert_eq ( -{ 5.0_f64 } , -5.0_f64 ) ;
1925 // infinities, NaN
2026 assert ! ( ( 5.0_f32 /0.0 ) . is_infinite( ) ) ;
27+ assert_ne ! ( { 5.0_f32 /0.0 } , { -5.0_f32 /0.0 } ) ;
2128 assert ! ( ( 5.0_f64 /0.0 ) . is_infinite( ) ) ;
29+ assert_ne ! ( { 5.0_f64 /0.0 } , { 5.0_f64 /-0.0 } ) ;
2230 assert ! ( ( -5.0_f32 ) . sqrt( ) . is_nan( ) ) ;
2331 assert ! ( ( -5.0_f64 ) . sqrt( ) . is_nan( ) ) ;
32+ assert_ne ! ( f32 :: NAN , f32 :: NAN ) ;
33+ assert_ne ! ( f64 :: NAN , f64 :: NAN ) ;
34+ // negative zero
35+ let posz = 0.0f32 ;
36+ let negz = -0.0f32 ;
37+ assert_eq ( posz, negz) ;
38+ assert_ne ! ( posz. to_bits( ) , negz. to_bits( ) ) ;
39+ let posz = 0.0f64 ;
40+ let negz = -0.0f64 ;
41+ assert_eq ( posz, negz) ;
42+ assert_ne ! ( posz. to_bits( ) , negz. to_bits( ) ) ;
2443 // byte-level transmute
2544 let x: u64 = unsafe { std:: mem:: transmute ( 42.0_f64 ) } ;
2645 let y: f64 = unsafe { std:: mem:: transmute ( x) } ;
2746 assert_eq ( y, 42.0_f64 ) ;
2847 let x: u32 = unsafe { std:: mem:: transmute ( 42.0_f32 ) } ;
2948 let y: f32 = unsafe { std:: mem:: transmute ( x) } ;
3049 assert_eq ( y, 42.0_f32 ) ;
50+ }
51+
52+ fn casts ( ) {
53+ // f32 -> i32
54+ assert_eq :: < i32 > ( 0.0f32 as i32 , 0 ) ;
55+ assert_eq :: < i32 > ( -0.0f32 as i32 , 0 ) ;
56+ assert_eq :: < i32 > ( /*0x1p-149*/ f32:: from_bits ( 0x00000001 ) as i32 , 0 ) ;
57+ assert_eq :: < i32 > ( /*-0x1p-149*/ f32:: from_bits ( 0x80000001 ) as i32 , 0 ) ;
58+ assert_eq :: < i32 > ( /*0x1.19999ap+0*/ f32:: from_bits ( 0x3f8ccccd ) as i32 , 1 ) ;
59+ assert_eq :: < i32 > ( /*-0x1.19999ap+0*/ f32:: from_bits ( 0xbf8ccccd ) as i32 , -1 ) ;
60+ assert_eq :: < i32 > ( 1.9f32 as i32 , 1 ) ;
61+ assert_eq :: < i32 > ( -1.9f32 as i32 , -1 ) ;
62+ assert_eq :: < i32 > ( 5.0f32 as i32 , 5 ) ;
63+ assert_eq :: < i32 > ( -5.0f32 as i32 , -5 ) ;
64+ assert_eq :: < i32 > ( 2147483520.0f32 as i32 , 2147483520 ) ;
65+ assert_eq :: < i32 > ( -2147483648.0f32 as i32 , -2147483648 ) ;
66+ // unrepresentable casts
67+ assert_eq :: < i32 > ( 2147483648.0f32 as i32 , i32:: MAX ) ;
68+ assert_eq :: < i32 > ( -2147483904.0f32 as i32 , i32:: MIN ) ;
69+ assert_eq :: < i32 > ( f32:: MAX as i32 , i32:: MAX ) ;
70+ assert_eq :: < i32 > ( f32:: MIN as i32 , i32:: MIN ) ;
71+ assert_eq :: < i32 > ( f32:: INFINITY as i32 , i32:: MAX ) ;
72+ assert_eq :: < i32 > ( f32:: NEG_INFINITY as i32 , i32:: MIN ) ;
73+ assert_eq :: < i32 > ( f32:: NAN as i32 , 0 ) ;
74+ assert_eq :: < i32 > ( ( -f32:: NAN ) as i32 , 0 ) ;
75+
76+ // f32 -> u32
77+ assert_eq :: < u32 > ( 0.0f32 as u32 , 0 ) ;
78+ assert_eq :: < u32 > ( -0.0f32 as u32 , 0 ) ;
79+ assert_eq :: < u32 > ( /*0x1p-149*/ f32:: from_bits ( 0x1 ) as u32 , 0 ) ;
80+ assert_eq :: < u32 > ( /*-0x1p-149*/ f32:: from_bits ( 0x80000001 ) as u32 , 0 ) ;
81+ assert_eq :: < u32 > ( /*0x1.19999ap+0*/ f32:: from_bits ( 0x3f8ccccd ) as u32 , 1 ) ;
82+ assert_eq :: < u32 > ( 1.9f32 as u32 , 1 ) ;
83+ assert_eq :: < u32 > ( 5.0f32 as u32 , 5 ) ;
84+ assert_eq :: < u32 > ( 2147483648.0f32 as u32 , 0x8000_0000 ) ;
85+ assert_eq :: < u32 > ( 4294967040.0f32 as u32 , 0u32 . wrapping_sub ( 256 ) ) ;
86+ assert_eq :: < u32 > ( /*-0x1.ccccccp-1*/ f32:: from_bits ( 0xbf666666 ) as u32 , 0 ) ;
87+ assert_eq :: < u32 > ( /*-0x1.fffffep-1*/ f32:: from_bits ( 0xbf7fffff ) as u32 , 0 ) ;
88+ assert_eq :: < u32 > ( ( u32:: MAX -127 ) as f32 as u32 , u32:: MAX ) ; // rounding loss
89+ assert_eq :: < u32 > ( ( u32:: MAX -128 ) as f32 as u32 , u32:: MAX -255 ) ; // rounding loss
90+ // unrepresentable casts
91+ assert_eq :: < u32 > ( 4294967296.0f32 as u32 , u32:: MAX ) ;
92+ assert_eq :: < u32 > ( -5.0f32 as u32 , 0 ) ;
93+ assert_eq :: < u32 > ( f32:: MAX as u32 , u32:: MAX ) ;
94+ assert_eq :: < u32 > ( f32:: MIN as u32 , 0 ) ;
95+ assert_eq :: < u32 > ( f32:: INFINITY as u32 , u32:: MAX ) ;
96+ assert_eq :: < u32 > ( f32:: NEG_INFINITY as u32 , 0 ) ;
97+ assert_eq :: < u32 > ( f32:: NAN as u32 , 0 ) ;
98+ assert_eq :: < u32 > ( ( -f32:: NAN ) as u32 , 0 ) ;
99+
100+ // f32 -> i64
101+ assert_eq :: < i64 > ( 4294967296.0f32 as i64 , 4294967296 ) ;
102+ assert_eq :: < i64 > ( -4294967296.0f32 as i64 , -4294967296 ) ;
103+ assert_eq :: < i64 > ( 9223371487098961920.0f32 as i64 , 9223371487098961920 ) ;
104+ assert_eq :: < i64 > ( -9223372036854775808.0f32 as i64 , -9223372036854775808 ) ;
105+
106+ // f64 -> i32
107+ assert_eq :: < i32 > ( 0.0f64 as i32 , 0 ) ;
108+ assert_eq :: < i32 > ( -0.0f64 as i32 , 0 ) ;
109+ assert_eq :: < i32 > ( /*0x1.199999999999ap+0*/ f64:: from_bits ( 0x3ff199999999999a ) as i32 , 1 ) ;
110+ assert_eq :: < i32 > ( /*-0x1.199999999999ap+0*/ f64:: from_bits ( 0xbff199999999999a ) as i32 , -1 ) ;
111+ assert_eq :: < i32 > ( 1.9f64 as i32 , 1 ) ;
112+ assert_eq :: < i32 > ( -1.9f64 as i32 , -1 ) ;
113+ assert_eq :: < i32 > ( 1e8f64 as i32 , 100_000_000 ) ;
114+ assert_eq :: < i32 > ( 2147483647.0f64 as i32 , 2147483647 ) ;
115+ assert_eq :: < i32 > ( -2147483648.0f64 as i32 , -2147483648 ) ;
116+ // unrepresentable casts
117+ assert_eq :: < i32 > ( 2147483648.0f64 as i32 , i32:: MAX ) ;
118+ assert_eq :: < i32 > ( -2147483649.0f64 as i32 , i32:: MIN ) ;
119+
120+ // f64 -> i64
121+ assert_eq :: < i64 > ( 0.0f64 as i64 , 0 ) ;
122+ assert_eq :: < i64 > ( -0.0f64 as i64 , 0 ) ;
123+ assert_eq :: < i64 > ( /*0x0.0000000000001p-1022*/ f64:: from_bits ( 0x1 ) as i64 , 0 ) ;
124+ assert_eq :: < i64 > ( /*-0x0.0000000000001p-1022*/ f64:: from_bits ( 0x8000000000000001 ) as i64 , 0 ) ;
125+ assert_eq :: < i64 > ( /*0x1.199999999999ap+0*/ f64:: from_bits ( 0x3ff199999999999a ) as i64 , 1 ) ;
126+ assert_eq :: < i64 > ( /*-0x1.199999999999ap+0*/ f64:: from_bits ( 0xbff199999999999a ) as i64 , -1 ) ;
127+ assert_eq :: < i64 > ( 5.0f64 as i64 , 5 ) ;
128+ assert_eq :: < i64 > ( 5.9f64 as i64 , 5 ) ;
129+ assert_eq :: < i64 > ( -5.0f64 as i64 , -5 ) ;
130+ assert_eq :: < i64 > ( -5.9f64 as i64 , -5 ) ;
131+ assert_eq :: < i64 > ( 4294967296.0f64 as i64 , 4294967296 ) ;
132+ assert_eq :: < i64 > ( -4294967296.0f64 as i64 , -4294967296 ) ;
133+ assert_eq :: < i64 > ( 9223372036854774784.0f64 as i64 , 9223372036854774784 ) ;
134+ assert_eq :: < i64 > ( -9223372036854775808.0f64 as i64 , -9223372036854775808 ) ;
135+ // unrepresentable casts
136+ assert_eq :: < i64 > ( 9223372036854775808.0f64 as i64 , i64:: MAX ) ;
137+ assert_eq :: < i64 > ( -9223372036854777856.0f64 as i64 , i64:: MIN ) ;
138+ assert_eq :: < i64 > ( f64:: MAX as i64 , i64:: MAX ) ;
139+ assert_eq :: < i64 > ( f64:: MIN as i64 , i64:: MIN ) ;
140+ assert_eq :: < i64 > ( f64:: INFINITY as i64 , i64:: MAX ) ;
141+ assert_eq :: < i64 > ( f64:: NEG_INFINITY as i64 , i64:: MIN ) ;
142+ assert_eq :: < i64 > ( f64:: NAN as i64 , 0 ) ;
143+ assert_eq :: < i64 > ( ( -f64:: NAN ) as i64 , 0 ) ;
31144
32- // f32 <-> int casts
33- assert_eq ( 5.0f32 as u32 , 5 ) ;
34- assert_eq ( -5.0f32 as u32 , 0 ) ;
35- assert_eq ( 5.0f32 as i32 , 5 ) ;
36- assert_eq ( -5.0f32 as i32 , -5 ) ;
37- assert_eq ( f32:: MAX as i32 , i32:: MAX ) ;
38- assert_eq ( f32:: INFINITY as i32 , i32:: MAX ) ;
39- assert_eq ( f32:: MAX as u32 , u32:: MAX ) ;
40- assert_eq ( f32:: INFINITY as u32 , u32:: MAX ) ;
41- assert_eq ( f32:: MIN as i32 , i32:: MIN ) ;
42- assert_eq ( f32:: NEG_INFINITY as i32 , i32:: MIN ) ;
43- assert_eq ( f32:: MIN as u32 , 0 ) ;
44- assert_eq ( f32:: NEG_INFINITY as u32 , 0 ) ;
45- assert_eq ( f32:: NAN as i32 , 0 ) ;
46- assert_eq ( f32:: NAN as u32 , 0 ) ;
47- assert_eq ( ( u32:: MAX -127 ) as f32 as u32 , u32:: MAX ) ; // rounding loss
48- assert_eq ( ( u32:: MAX -128 ) as f32 as u32 , u32:: MAX -255 ) ; // rounding loss
49- assert_eq ( 127i8 as f32 , 127.0f32 ) ;
50- assert_eq ( i128:: MIN as f32 , -170141183460469231731687303715884105728.0f32 ) ;
51- assert_eq ( u128:: MAX as f32 , f32:: INFINITY ) ; // saturation
52-
53- // f64 <-> int casts
54- assert_eq ( 5.0f64 as u64 , 5 ) ;
55- assert_eq ( -5.0f64 as u64 , 0 ) ;
56- assert_eq ( 5.0f64 as i64 , 5 ) ;
57- assert_eq ( -5.0f64 as i64 , -5 ) ;
58- assert_eq ( f64:: MAX as i64 , i64:: MAX ) ;
59- assert_eq ( f64:: INFINITY as i64 , i64:: MAX ) ;
60- assert_eq ( f64:: MAX as u64 , u64:: MAX ) ;
61- assert_eq ( f64:: INFINITY as u64 , u64:: MAX ) ;
62- assert_eq ( f64:: MIN as i64 , i64:: MIN ) ;
63- assert_eq ( f64:: NEG_INFINITY as i64 , i64:: MIN ) ;
64- assert_eq ( f64:: MIN as u64 , 0 ) ;
65- assert_eq ( f64:: NEG_INFINITY as u64 , 0 ) ;
66- assert_eq ( f64:: NAN as i64 , 0 ) ;
67- assert_eq ( f64:: NAN as u64 , 0 ) ;
68- assert_eq ( ( u64:: MAX -1023 ) as f64 as u64 , u64:: MAX ) ; // rounding loss
69- assert_eq ( ( u64:: MAX -1024 ) as f64 as u64 , u64:: MAX -2047 ) ; // rounding loss
70- assert_eq ( u128:: MAX as f64 as u128 , u128:: MAX ) ;
71- assert_eq ( i16:: MIN as f64 , -32768.0f64 ) ;
72- assert_eq ( u128:: MAX as f64 , 340282366920938463463374607431768211455.0f64 ) ; // even that fits...
73-
74- // f32 <-> f64 casts
75- assert_eq ( 5.0f64 as f32 , 5.0f32 ) ;
76- assert_eq ( 5.0f32 as f64 , 5.0f64 ) ;
77- assert_eq ( f64:: MAX as f32 , f32:: INFINITY ) ;
78- assert_eq ( f64:: MIN as f32 , f32:: NEG_INFINITY ) ;
79- assert_eq ( f32:: INFINITY as f64 , f64:: INFINITY ) ;
80- assert_eq ( f32:: NEG_INFINITY as f64 , f64:: NEG_INFINITY ) ;
145+ // f64 -> u64
146+ assert_eq :: < u64 > ( 0.0f64 as u64 , 0 ) ;
147+ assert_eq :: < u64 > ( -0.0f64 as u64 , 0 ) ;
148+ assert_eq :: < u64 > ( 5.0f64 as u64 , 5 ) ;
149+ assert_eq :: < u64 > ( -5.0f64 as u64 , 0 ) ;
150+ assert_eq :: < u64 > ( 1e16f64 as u64 , 10000000000000000 ) ;
151+ assert_eq :: < u64 > ( ( u64:: MAX -1023 ) as f64 as u64 , u64:: MAX ) ; // rounding loss
152+ assert_eq :: < u64 > ( ( u64:: MAX -1024 ) as f64 as u64 , u64:: MAX -2047 ) ; // rounding loss
153+ assert_eq :: < u64 > ( 9223372036854775808.0f64 as u64 , 9223372036854775808 ) ;
154+ // unrepresentable casts
155+ assert_eq :: < u64 > ( 18446744073709551616.0f64 as u64 , u64:: MAX ) ;
156+ assert_eq :: < u64 > ( f64:: MAX as u64 , u64:: MAX ) ;
157+ assert_eq :: < u64 > ( f64:: MIN as u64 , 0 ) ;
158+ assert_eq :: < u64 > ( f64:: INFINITY as u64 , u64:: MAX ) ;
159+ assert_eq :: < u64 > ( f64:: NEG_INFINITY as u64 , 0 ) ;
160+ assert_eq :: < u64 > ( f64:: NAN as u64 , 0 ) ;
161+ assert_eq :: < u64 > ( ( -f64:: NAN ) as u64 , 0 ) ;
162+
163+ // int -> f32
164+ assert_eq :: < f32 > ( 127i8 as f32 , 127.0 ) ;
165+ assert_eq :: < f32 > ( 2147483647i32 as f32 , 2147483648.0 ) ;
166+ assert_eq :: < f32 > ( ( -2147483648i32 ) as f32 , -2147483648.0 ) ;
167+ assert_eq :: < f32 > ( 1234567890i32 as f32 , /*0x1.26580cp+30*/ f32:: from_bits ( 0x4e932c06 ) ) ;
168+ assert_eq :: < f32 > ( 16777217i32 as f32 , 16777216.0 ) ;
169+ assert_eq :: < f32 > ( ( -16777217i32 ) as f32 , -16777216.0 ) ;
170+ assert_eq :: < f32 > ( 16777219i32 as f32 , 16777220.0 ) ;
171+ assert_eq :: < f32 > ( ( -16777219i32 ) as f32 , -16777220.0 ) ;
172+ assert_eq :: < f32 > ( 0x7fffff4000000001i64 as f32 , /*0x1.fffffep+62*/ f32:: from_bits ( 0x5effffff ) ) ;
173+ assert_eq :: < f32 > ( 0x8000004000000001u64 as i64 as f32 , /*-0x1.fffffep+62*/ f32:: from_bits ( 0xdeffffff ) ) ;
174+ assert_eq :: < f32 > ( 0x0020000020000001i64 as f32 , /*0x1.000002p+53*/ f32:: from_bits ( 0x5a000001 ) ) ;
175+ assert_eq :: < f32 > ( 0xffdfffffdfffffffu64 as i64 as f32 , /*-0x1.000002p+53*/ f32:: from_bits ( 0xda000001 ) ) ;
176+ assert_eq :: < f32 > ( i128:: MIN as f32 , -170141183460469231731687303715884105728.0f32 ) ;
177+ assert_eq :: < f32 > ( u128:: MAX as f32 , f32:: INFINITY ) ; // saturation
178+
179+ // int -> f64
180+ assert_eq :: < f64 > ( 127i8 as f64 , 127.0 ) ;
181+ assert_eq :: < f64 > ( i16:: MIN as f64 , -32768.0f64 ) ;
182+ assert_eq :: < f64 > ( 2147483647i32 as f64 , 2147483647.0 ) ;
183+ assert_eq :: < f64 > ( -2147483648i32 as f64 , -2147483648.0 ) ;
184+ assert_eq :: < f64 > ( 987654321i32 as f64 , 987654321.0 ) ;
185+ assert_eq :: < f64 > ( 9223372036854775807i64 as f64 , 9223372036854775807.0 ) ;
186+ assert_eq :: < f64 > ( -9223372036854775808i64 as f64 , -9223372036854775808.0 ) ;
187+ assert_eq :: < f64 > ( 4669201609102990i64 as f64 , 4669201609102990.0 ) ; // Feigenbaum (?)
188+ assert_eq :: < f64 > ( 9007199254740993i64 as f64 , 9007199254740992.0 ) ;
189+ assert_eq :: < f64 > ( -9007199254740993i64 as f64 , -9007199254740992.0 ) ;
190+ assert_eq :: < f64 > ( 9007199254740995i64 as f64 , 9007199254740996.0 ) ;
191+ assert_eq :: < f64 > ( -9007199254740995i64 as f64 , -9007199254740996.0 ) ;
192+ assert_eq :: < f64 > ( u128:: MAX as f64 , 340282366920938463463374607431768211455.0f64 ) ; // even that fits...
193+
194+ // f32 -> f64
195+ assert_eq :: < u64 > ( ( 0.0f32 as f64 ) . to_bits ( ) , 0.0f64 . to_bits ( ) ) ;
196+ assert_eq :: < u64 > ( ( ( -0.0f32 ) as f64 ) . to_bits ( ) , ( -0.0f64 ) . to_bits ( ) ) ;
197+ assert_eq :: < f64 > ( 5.0f32 as f64 , 5.0f64 ) ;
198+ assert_eq :: < f64 > ( /*0x1p-149*/ f32:: from_bits ( 0x1 ) as f64 , /*0x1p-149*/ f64:: from_bits ( 0x36a0000000000000 ) ) ;
199+ assert_eq :: < f64 > ( /*-0x1p-149*/ f32:: from_bits ( 0x80000001 ) as f64 , /*-0x1p-149*/ f64:: from_bits ( 0xb6a0000000000000 ) ) ;
200+ assert_eq :: < f64 > ( /*0x1.fffffep+127*/ f32:: from_bits ( 0x7f7fffff ) as f64 , /*0x1.fffffep+127*/ f64:: from_bits ( 0x47efffffe0000000 ) ) ;
201+ assert_eq :: < f64 > ( /*-0x1.fffffep+127*/ ( -f32:: from_bits ( 0x7f7fffff ) ) as f64 , /*-0x1.fffffep+127*/ -f64:: from_bits ( 0x47efffffe0000000 ) ) ;
202+ assert_eq :: < f64 > ( /*0x1p-119*/ f32:: from_bits ( 0x4000000 ) as f64 , /*0x1p-119*/ f64:: from_bits ( 0x3880000000000000 ) ) ;
203+ assert_eq :: < f64 > ( /*0x1.8f867ep+125*/ f32:: from_bits ( 0x7e47c33f ) as f64 , 6.6382536710104395e+37 ) ;
204+ assert_eq :: < f64 > ( f32:: INFINITY as f64 , f64:: INFINITY ) ;
205+ assert_eq :: < f64 > ( f32:: NEG_INFINITY as f64 , f64:: NEG_INFINITY ) ;
206+
207+ // f64 -> f32
208+ assert_eq :: < u32 > ( ( 0.0f64 as f32 ) . to_bits ( ) , 0.0f32 . to_bits ( ) ) ;
209+ assert_eq :: < u32 > ( ( ( -0.0f64 ) as f32 ) . to_bits ( ) , ( -0.0f32 ) . to_bits ( ) ) ;
210+ assert_eq :: < f32 > ( 5.0f64 as f32 , 5.0f32 ) ;
211+ assert_eq :: < f32 > ( /*0x0.0000000000001p-1022*/ f64:: from_bits ( 0x1 ) as f32 , 0.0 ) ;
212+ assert_eq :: < f32 > ( /*-0x0.0000000000001p-1022*/ ( -f64:: from_bits ( 0x1 ) ) as f32 , -0.0 ) ;
213+
214+ assert_eq :: < f32 > ( /*0x1.fffffe0000000p-127*/ f64:: from_bits ( 0x380fffffe0000000 ) as f32 , /*0x1p-149*/ f32:: from_bits ( 0x800000 ) ) ;
215+ assert_eq :: < f32 > ( /*0x1.4eae4f7024c7p+108*/ f64:: from_bits ( 0x46b4eae4f7024c70 ) as f32 , /*0x1.4eae5p+108*/ f32:: from_bits ( 0x75a75728 ) ) ;
216+
217+ assert_eq :: < f32 > ( f64:: MAX as f32 , f32:: INFINITY ) ;
218+ assert_eq :: < f32 > ( f64:: MIN as f32 , f32:: NEG_INFINITY ) ;
219+ assert_eq :: < f32 > ( f64:: INFINITY as f32 , f32:: INFINITY ) ;
220+ assert_eq :: < f32 > ( f64:: NEG_INFINITY as f32 , f32:: NEG_INFINITY ) ;
221+ }
81222
223+ fn ops ( ) {
82224 // f32 min/max
83225 assert_eq ( ( 1.0 as f32 ) . max ( -1.0 ) , 1.0 ) ;
84226 assert_eq ( ( 1.0 as f32 ) . min ( -1.0 ) , -1.0 ) ;
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