@@ -2397,108 +2397,100 @@ mod tests {
23972397 check :: < f64 > ( 1e-12 ) ;
23982398 }
23992399
2400- /// Create a function to test `Float::integer_decode` for a given float type (`f32` or `f64`) and tolerance.
2401- ///
2402- /// # Examples
2403- /// ```rs
2404- /// check_integer_decode!(check, f32, 1e-6);
2405- /// check(sign_f * 0.0_f32, 0x000000, -150, sign);
2406- /// ```
2407- macro_rules! check_integer_decode {
2408- (
2409- $func_name: ident,
2410- $float_type: ty,
2411- $tolerance: expr
2412- ) => {
2413- /// Test the behavior of `Float::integer_decode(input)`
2414- fn $func_name( input: $float_type, mantissa: u64 , exponent: i16 , sign: i8 ) {
2415- let output = crate :: float:: Float :: integer_decode( input) ;
2416-
2417- assert!(
2418- ( mantissa, exponent, sign) == output,
2419- "unexpected output of `Float::integer_decode({0:e})`
2420- \t expected: {1}
2421- \t found: {2}",
2422- input,
2423- std:: format!( "({:#x} {} {})" , mantissa, exponent, sign) ,
2424- std:: format!( "({:#x} {} {})" , output. 0 , output. 1 , output. 2 ) ,
2425- ) ;
2426-
2427- // Destructure output and values cast as float
2428- let mantissa_f = output. 0 as $float_type;
2429- let exponent_f = output. 1 as $float_type;
2430- let sign_f = output. 2 as $float_type;
2431-
2432- // Recover input using equation: sign * mantissa * 2^exponent
2433- let recovered_input = sign_f * mantissa_f * exponent_f. exp2( ) ;
2434- let deviation = recovered_input - input;
2435-
2436- assert!(
2437- recovered_input == input || deviation. abs( ) < $tolerance,
2438- "failed to recover input of `Float::integer_decode({0:e})`
2439- \t expected: ~ {:e}
2440- \t found: {:e}
2441- \t deviation: {:+e}
2442- \t tolerance: < {:e}",
2443- input,
2444- recovered_input,
2445- deviation,
2446- $tolerance
2447- ) ;
2448- }
2449- } ;
2400+ /// Test the behavior of `Float::integer_decode` with the `given` input and `expected` output values.
2401+ fn test_integer_decode < T > ( given : T , expected : ( u64 , i16 , i8 ) )
2402+ where
2403+ T : crate :: float:: Float + core:: fmt:: LowerExp + core:: fmt:: Debug ,
2404+ {
2405+ use crate :: float:: Float ;
2406+
2407+ let found = Float :: integer_decode ( given) ;
2408+
2409+ assert ! (
2410+ expected == found,
2411+ "unexpected output of `Float::integer_decode({0:e})`
2412+ \t expected: ({1:#x} {2} {3})
2413+ \t found: {4:#x} {5} {6}",
2414+ given,
2415+ expected. 0 ,
2416+ expected. 1 ,
2417+ expected. 2 ,
2418+ found. 0 ,
2419+ found. 1 ,
2420+ found. 2
2421+ ) ;
2422+
2423+ // Destructure the `found` output and cast values as float.
2424+ let mantissa_f = T :: from ( found. 0 ) . unwrap ( ) ;
2425+ let exponent_f = T :: from ( found. 1 ) . unwrap ( ) ;
2426+ let sign_f = T :: from ( found. 2 ) . unwrap ( ) ;
2427+
2428+ // Recover the `given` input using equation: sign * mantissa * 2^exponent.
2429+ let recovered = sign_f * mantissa_f * exponent_f. exp2 ( ) ;
2430+ let deviation = recovered - given;
2431+ let tolerance = T :: from ( 1e-6 ) . unwrap ( ) ;
2432+
2433+ assert_eq ! ( T :: one( ) , tolerance. signum( ) , "tolerance must be positive" ) ;
2434+ assert ! (
2435+ recovered == given || deviation. abs( ) < tolerance,
2436+ "absolute deviation must not exceed tolerance`
2437+ \t given: {:+e}
2438+ \t recovered: {:+e}
2439+ \t deviation: {:+e}
2440+ \t tolerance: <{:e}",
2441+ given,
2442+ recovered,
2443+ deviation,
2444+ tolerance
2445+ ) ;
24502446 }
24512447
24522448 #[ test]
24532449 #[ cfg( any( feature = "std" , feature = "libm" ) ) ]
24542450 fn integer_decode_f32 ( ) {
2455- check_integer_decode ! ( check, f32 , 1e-6 ) ;
2456-
24572451 for sign in [ 1 , -1 ] {
24582452 let sign_f = sign as f32 ;
2459- check ( sign_f * 0.0__f32 , 0x000000 , -150 , sign) ;
2460- check ( sign_f * f32:: MIN_POSITIVE , 0x800000 , -149 , sign) ;
2461- check ( sign_f * 0.25_f32 , 0x800000 , -25 , sign) ;
2462- check ( sign_f * 0.5__f32 , 0x800000 , -24 , sign) ;
2463- check ( sign_f * 1____f32 , 0x800000 , -23 , sign) ;
2464- check ( sign_f * 1.5__f32 , 0xc00000 , -23 , sign) ;
2465- check ( sign_f * 2____f32 , 0x800000 , -22 , sign) ;
2466- check ( sign_f * 2.5__f32 , 0xa00000 , -22 , sign) ;
2467- check ( sign_f * 3____f32 , 0xc00000 , -22 , sign) ;
2468- check ( sign_f * 4____f32 , 0x800000 , -21 , sign) ;
2469- check ( sign_f * 5____f32 , 0xa00000 , -21 , sign) ;
2470- check ( sign_f * 42___f32 , 0xa80000 , -18 , sign) ;
2471- check ( sign_f * f32:: MAX , 0xffffff , 104 , sign) ;
2472- check ( sign_f * f32:: INFINITY , 0x800000 , 105 , sign) ;
2453+ test_integer_decode ( sign_f * 0.0__f32 , ( 0x000000 , -150 , sign) ) ;
2454+ test_integer_decode ( sign_f * f32:: MIN_POSITIVE , ( 0x800000 , -149 , sign) ) ;
2455+ test_integer_decode ( sign_f * 0.25_f32 , ( 0x800000 , -25 , sign) ) ;
2456+ test_integer_decode ( sign_f * 0.5__f32 , ( 0x800000 , -24 , sign) ) ;
2457+ test_integer_decode ( sign_f * 1____f32 , ( 0x800000 , -23 , sign) ) ;
2458+ test_integer_decode ( sign_f * 1.5__f32 , ( 0xc00000 , -23 , sign) ) ;
2459+ test_integer_decode ( sign_f * 2____f32 , ( 0x800000 , -22 , sign) ) ;
2460+ test_integer_decode ( sign_f * 2.5__f32 , ( 0xa00000 , -22 , sign) ) ;
2461+ test_integer_decode ( sign_f * 3____f32 , ( 0xc00000 , -22 , sign) ) ;
2462+ test_integer_decode ( sign_f * 4____f32 , ( 0x800000 , -21 , sign) ) ;
2463+ test_integer_decode ( sign_f * 5____f32 , ( 0xa00000 , -21 , sign) ) ;
2464+ test_integer_decode ( sign_f * 42___f32 , ( 0xa80000 , -18 , sign) ) ;
2465+ test_integer_decode ( sign_f * f32:: MAX , ( 0xffffff , 104 , sign) ) ;
2466+ test_integer_decode ( sign_f * f32:: INFINITY , ( 0x800000 , 105 , sign) ) ;
24732467 }
24742468 // FIXME: Unclear if we should be able to recover NaN inputs
2475- // check (f32::NAN, 0xc00000, 105, 1);
2469+ // check_integer_decode (f32::NAN, ( 0xc00000, 105, 1) );
24762470 }
24772471
24782472 #[ test]
24792473 #[ cfg( any( feature = "std" , feature = "libm" ) ) ]
24802474 fn integer_decode_f64 ( ) {
2481- check_integer_decode ! ( check, f64 , 1e-6 ) ;
2482-
24832475 for sign in [ 1 , -1 ] {
24842476 let sign_f = sign as f64 ;
2485- check ( sign_f * 0.0__f64 , 0x00000000000000 , -1075 , sign) ;
2486- check ( sign_f * f64:: MIN_POSITIVE , 0x10000000000000 , -1074 , sign) ;
2487- check ( sign_f * 0.25_f64 , 0x10000000000000 , -54 , sign) ;
2488- check ( sign_f * 0.5__f64 , 0x10000000000000 , -53 , sign) ;
2489- check ( sign_f * 1____f64 , 0x10000000000000 , -52 , sign) ;
2490- check ( sign_f * 1.5__f64 , 0x18000000000000 , -52 , sign) ;
2491- check ( sign_f * 2____f64 , 0x10000000000000 , -51 , sign) ;
2492- check ( sign_f * 2.5__f64 , 0x14000000000000 , -51 , sign) ;
2493- check ( sign_f * 3____f64 , 0x18000000000000 , -51 , sign) ;
2494- check ( sign_f * 4____f64 , 0x10000000000000 , -50 , sign) ;
2495- check ( sign_f * 5____f64 , 0x14000000000000 , -50 , sign) ;
2496- check ( sign_f * 42___f64 , 0x15000000000000 , -47 , sign) ;
2497- check ( sign_f * f64:: MAX , 0x1fffffffffffff , 971 , sign) ;
2498- check ( sign_f * f64:: INFINITY , 0x10000000000000 , 972 , sign) ;
2477+ test_integer_decode ( sign_f * 0.0__f64 , ( 0x00000000000000 , -1075 , sign) ) ;
2478+ test_integer_decode ( sign_f * f64:: MIN_POSITIVE , ( 0x10000000000000 , -1074 , sign) ) ;
2479+ test_integer_decode ( sign_f * 0.25_f64 , ( 0x10000000000000 , -54 , sign) ) ;
2480+ test_integer_decode ( sign_f * 0.5__f64 , ( 0x10000000000000 , -53 , sign) ) ;
2481+ test_integer_decode ( sign_f * 1____f64 , ( 0x10000000000000 , -52 , sign) ) ;
2482+ test_integer_decode ( sign_f * 1.5__f64 , ( 0x18000000000000 , -52 , sign) ) ;
2483+ test_integer_decode ( sign_f * 2____f64 , ( 0x10000000000000 , -51 , sign) ) ;
2484+ test_integer_decode ( sign_f * 2.5__f64 , ( 0x14000000000000 , -51 , sign) ) ;
2485+ test_integer_decode ( sign_f * 3____f64 , ( 0x18000000000000 , -51 , sign) ) ;
2486+ test_integer_decode ( sign_f * 4____f64 , ( 0x10000000000000 , -50 , sign) ) ;
2487+ test_integer_decode ( sign_f * 5____f64 , ( 0x14000000000000 , -50 , sign) ) ;
2488+ test_integer_decode ( sign_f * 42___f64 , ( 0x15000000000000 , -47 , sign) ) ;
2489+ test_integer_decode ( sign_f * f64:: MAX , ( 0x1fffffffffffff , 971 , sign) ) ;
2490+ test_integer_decode ( sign_f * f64:: INFINITY , ( 0x10000000000000 , 972 , sign) ) ;
24992491 }
25002492 // FIXME: Unclear if we should be able to recover NaN inputs
2501- // check (f64::NAN, 0x18000000000000, 972, 1);
2493+ // check_integer_decode (f64::NAN, ( 0x18000000000000, 972, 1) );
25022494 }
25032495
25042496 #[ test]
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