diff --git a/kmir/src/kmir/kdist/mir-semantics/rt/data.md b/kmir/src/kmir/kdist/mir-semantics/rt/data.md
index f76620160..57f21447f 100644
--- a/kmir/src/kmir/kdist/mir-semantics/rt/data.md
+++ b/kmir/src/kmir/kdist/mir-semantics/rt/data.md
@@ -1421,7 +1421,41 @@ Boolean values can also be cast to Integers (encoding `true` as `1`).
[preserves-definedness] // ensures #numTypeOf is defined
```
-Casts involving `Float` values are currently not implemented.
+Casts involving `Float` values: `IntToFloat`, `FloatToInt`, and `FloatToFloat`.
+
+```k
+ // IntToFloat: convert integer to float with the target float type's precision
+ rule #cast(Integer(VAL, _WIDTH, _SIGNEDNESS), castKindIntToFloat, _, TY)
+ => Float(
+ Int2Float(VAL,
+ #significandBits(#floatTypeOf(lookupTy(TY))),
+ #exponentBits(#floatTypeOf(lookupTy(TY)))),
+ #bitWidth(#floatTypeOf(lookupTy(TY)))
+ )
+ ...
+
+ [preserves-definedness]
+
+ // FloatToInt: truncate float towards zero and convert to integer
+ rule #cast(Float(VAL, _WIDTH), castKindFloatToInt, _, TY)
+ => #intAsType(Float2Int(VAL), 128, #intTypeOf(lookupTy(TY)))
+ ...
+
+ requires #isIntType(lookupTy(TY))
+ [preserves-definedness]
+
+ // FloatToFloat: round float to the target float type's precision
+ rule #cast(Float(VAL, _WIDTH), castKindFloatToFloat, _, TY)
+ => Float(
+ roundFloat(VAL,
+ #significandBits(#floatTypeOf(lookupTy(TY))),
+ #exponentBits(#floatTypeOf(lookupTy(TY)))),
+ #bitWidth(#floatTypeOf(lookupTy(TY)))
+ )
+ ...
+
+ [preserves-definedness]
+```
### Casts between pointer types
@@ -1991,6 +2025,18 @@ are correct.
rule onInt(binOpRem, X, Y) => X %Int Y requires Y =/=Int 0 [preserves-definedness]
// operation undefined otherwise
+ // performs the given operation on IEEE 754 floats
+ syntax Float ::= onFloat( BinOp, Float, Float ) [function]
+ // -------------------------------------------------------
+ rule onFloat(binOpAdd, X, Y) => X +Float Y [preserves-definedness]
+ rule onFloat(binOpAddUnchecked, X, Y) => X +Float Y [preserves-definedness]
+ rule onFloat(binOpSub, X, Y) => X -Float Y [preserves-definedness]
+ rule onFloat(binOpSubUnchecked, X, Y) => X -Float Y [preserves-definedness]
+ rule onFloat(binOpMul, X, Y) => X *Float Y [preserves-definedness]
+ rule onFloat(binOpMulUnchecked, X, Y) => X *Float Y [preserves-definedness]
+ rule onFloat(binOpDiv, X, Y) => X /Float Y [preserves-definedness]
+ rule onFloat(binOpRem, X, Y) => X %Float Y [preserves-definedness]
+
// error cases for isArithmetic(BOP):
// * arguments must be Numbers
@@ -2059,6 +2105,18 @@ are correct.
// infinite precision result must equal truncated result
andBool truncate(onInt(BOP, ARG1, ARG2), WIDTH, Unsigned) ==Int onInt(BOP, ARG1, ARG2)
[preserves-definedness]
+
+ // Float arithmetic: Rust never emits CheckedBinaryOp for floats (only BinaryOp),
+ // so the checked flag is always false here. See rustc_const_eval/src/interpret/operator.rs:
+ // binary_float_op returns a plain value, not a (value, overflow) pair.
+ rule #applyBinOp(
+ BOP,
+ Float(ARG1, WIDTH),
+ Float(ARG2, WIDTH),
+ false)
+ => Float(onFloat(BOP, ARG1, ARG2), WIDTH)
+ requires isArithmetic(BOP)
+ [preserves-definedness]
```
#### Comparison operations
@@ -2095,6 +2153,14 @@ The argument types must be the same for all comparison operations, however this
rule cmpOpBool(binOpGe, X, Y) => cmpOpBool(binOpLe, Y, X)
rule cmpOpBool(binOpGt, X, Y) => cmpOpBool(binOpLt, Y, X)
+ syntax Bool ::= cmpOpFloat ( BinOp, Float, Float ) [function]
+ rule cmpOpFloat(binOpEq, X, Y) => X ==Float Y
+ rule cmpOpFloat(binOpLt, X, Y) => X X <=Float Y
+ rule cmpOpFloat(binOpNe, X, Y) => X =/=Float Y
+ rule cmpOpFloat(binOpGe, X, Y) => X >=Float Y
+ rule cmpOpFloat(binOpGt, X, Y) => X >Float Y
+
// error cases for isComparison and binOpCmp:
// * arguments must be numbers or Bool
@@ -2122,6 +2188,12 @@ The argument types must be the same for all comparison operations, however this
BoolVal(cmpOpBool(OP, VAL1, VAL2))
requires isComparison(OP)
[priority(60), preserves-definedness] // OP known to be a comparison
+
+ rule #applyBinOp(OP, Float(VAL1, WIDTH), Float(VAL2, WIDTH), _)
+ =>
+ BoolVal(cmpOpFloat(OP, VAL1, VAL2))
+ requires isComparison(OP)
+ [preserves-definedness] // OP known to be a comparison
```
The `binOpCmp` operation returns `-1`, `0`, or `+1` (the behaviour of Rust's `std::cmp::Ordering as i8`), indicating `LE`, `EQ`, or `GT`.
@@ -2137,6 +2209,11 @@ The `binOpCmp` operation returns `-1`, `0`, or `+1` (the behaviour of Rust's `st
rule cmpBool(X, Y) => 0 requires X ==Bool Y
rule cmpBool(X, Y) => 1 requires X andBool notBool Y
+ syntax Int ::= cmpFloat ( Float, Float ) [function]
+ rule cmpFloat(VAL1, VAL2) => -1 requires VAL1 0 requires VAL1 ==Float VAL2
+ rule cmpFloat(VAL1, VAL2) => 1 requires VAL1 >Float VAL2
+
rule #applyBinOp(binOpCmp, Integer(VAL1, WIDTH, SIGN), Integer(VAL2, WIDTH, SIGN), _)
=>
Integer(cmpInt(VAL1, VAL2), 8, true)
@@ -2144,6 +2221,10 @@ The `binOpCmp` operation returns `-1`, `0`, or `+1` (the behaviour of Rust's `st
rule #applyBinOp(binOpCmp, BoolVal(VAL1), BoolVal(VAL2), _)
=>
Integer(cmpBool(VAL1, VAL2), 8, true)
+
+ rule #applyBinOp(binOpCmp, Float(VAL1, WIDTH), Float(VAL2, WIDTH), _)
+ =>
+ Integer(cmpFloat(VAL1, VAL2), 8, true)
```
#### Unary operations on Boolean and integral values
@@ -2159,7 +2240,11 @@ The semantics of the operation in this case is to wrap around (with the given bi
...
- // TODO add rule for Floats once they are supported.
+ rule #applyUnOp(unOpNeg, Float(VAL, WIDTH))
+ =>
+ Float(--Float VAL, WIDTH)
+ ...
+
```
The `unOpNot` operation works on boolean and integral values, with the usual semantics for booleans and a bitwise semantics for integral values (overflows cannot occur).
diff --git a/kmir/src/kmir/kdist/mir-semantics/rt/decoding.md b/kmir/src/kmir/kdist/mir-semantics/rt/decoding.md
index 98b522012..f7d87552d 100644
--- a/kmir/src/kmir/kdist/mir-semantics/rt/decoding.md
+++ b/kmir/src/kmir/kdist/mir-semantics/rt/decoding.md
@@ -52,10 +52,13 @@ and arrays (where layout is trivial).
requires #isIntType(TYPEINFO) andBool lengthBytes(BYTES) ==Int #elemSize(TYPEINFO)
[preserves-definedness]
+ // Float: handled in separate module for numeric operations
+ rule #decodeValue(BYTES, TYPEINFO) => #decodeFloat(BYTES, #floatTypeOf(TYPEINFO))
+ requires #isFloatType(TYPEINFO) andBool lengthBytes(BYTES) ==Int #elemSize(TYPEINFO)
+ [preserves-definedness]
+
// TODO Char type
// rule #decodeConstant(constantKindAllocated(allocation(BYTES, _, _, _)), typeInfoPrimitiveType(primTypeChar)) => typedValue(Str(...), TY, mutabilityNot)
-
- // TODO Float decoding: not supported natively in K
```
diff --git a/kmir/src/kmir/kdist/mir-semantics/rt/numbers.md b/kmir/src/kmir/kdist/mir-semantics/rt/numbers.md
index d34c62b95..c7597bc1b 100644
--- a/kmir/src/kmir/kdist/mir-semantics/rt/numbers.md
+++ b/kmir/src/kmir/kdist/mir-semantics/rt/numbers.md
@@ -13,6 +13,7 @@ module RT-NUMBERS
imports BOOL
imports BYTES
imports INT
+ imports FLOAT
```
## Helpers and Constants for Integer Operations
@@ -38,6 +39,15 @@ module RT-NUMBERS
rule #isIntType(typeInfoPrimitiveType(primTypeInt(_))) => true
rule #isIntType(typeInfoPrimitiveType(primTypeUint(_))) => true
rule #isIntType(_) => false [owise]
+
+ syntax Bool ::= #isFloatType ( TypeInfo ) [function, total]
+ // --------------------------------------------------------
+ rule #isFloatType(typeInfoPrimitiveType(primTypeFloat(_))) => true
+ rule #isFloatType(_) => false [owise]
+
+ syntax FloatTy ::= #floatTypeOf ( TypeInfo ) [function]
+ // ----------------------------------------------------
+ rule #floatTypeOf(typeInfoPrimitiveType(primTypeFloat(FLOATTY))) => FLOATTY
```
Constants used for overflow-checking and truncation are defined here as macros.
@@ -110,6 +120,200 @@ This truncation function is instrumental in the implementation of Integer arithm
[preserves-definedness]
```
+## Helpers and Constants for Float Operations
+
+Rust supports four fixed-width IEEE 754 float types: `f16`, `f32`, `f64`, and `f128`.
+The helpers below extract format parameters for each type. First, an overview of the format.
+
+### IEEE 754 Binary Format
+
+An IEEE 754 binary floating-point word has three fields stored left-to-right:
+
+```
+ MSB LSB
+ +---------+----------------+----------------------+
+ | sign | exponent | fraction |
+ | (1 bit) | (EB bits) | (SB - 1 bits) |
+ +---------+----------------+----------------------+
+ total bits = 1 + EB + (SB - 1)
+```
+
+The **significand** (also called **precision**) is the total number of significant bits
+in the represented value, including an implicit leading 1 that is not stored in the
+fraction field. For a normal number, the mathematical value is:
+
+ value = (-1)^sign * 2^(exponent - bias) * 1.fraction
+
+The "1." prefix is the implicit bit, so the significand has `SB` bits of precision
+even though only `SB - 1` fraction bits are stored. For example, f64 stores 52 fraction
+bits but has 53 bits of significand precision.
+
+K's built-in `FLOAT` module uses this convention: `Int2Float(x, precision, exponentBits)`
+takes `precision = SB` (total significand bits including the implicit 1) and `exponentBits = EB`.
+See [IEEE 754 on Wikipedia](https://en.wikipedia.org/wiki/IEEE_754) for full details.
+
+The exponent is stored as an unsigned integer in
+[excess-M encoding](https://en.wikipedia.org/wiki/Offset_binary) with `bias = 2^(EB-1) - 1`,
+so that the actual exponent is `stored - bias`. For f64, bias = 1023: a stored value of 1023
+means exponent 0, 1024 means +1, and 1 means -1022. Stored values 0 and `2^EB - 1` are
+reserved for zero/subnormals and infinity/NaN respectively.
+
+| Type | Total bits | Sign | Exponent (EB) | Fraction (SB-1) | Significand (SB) | Bias |
+|------|------------|------|---------------|-----------------|------------------|------------|
+| f16 | 16 | 1 | 5 | 10 | 11 | 15 |
+| f32 | 32 | 1 | 8 | 23 | 24 | 127 |
+| f64 | 64 | 1 | 11 | 52 | 53 | 1023 |
+| f128 | 128 | 1 | 15 | 112 | 113 | 16383 |
+
+```k
+ syntax Int ::= #significandBits ( FloatTy ) [function, total]
+ // ----------------------------------------------------------
+ rule #significandBits(floatTyF16) => 11
+ rule #significandBits(floatTyF32) => 24
+ rule #significandBits(floatTyF64) => 53
+ rule #significandBits(floatTyF128) => 113
+
+ syntax Int ::= #exponentBits ( FloatTy ) [function, total]
+ // -------------------------------------------------------
+ rule #exponentBits(floatTyF16) => 5
+ rule #exponentBits(floatTyF32) => 8
+ rule #exponentBits(floatTyF64) => 11
+ rule #exponentBits(floatTyF128) => 15
+
+ syntax Int ::= #bias ( FloatTy ) [function, total]
+ // -----------------------------------------------
+ rule #bias(FLOATTY) => (1 <x` suffix to specify precision and exponent
+bits. See IEEE 754 Binary Format above for values of SB and EB.
+
+For example, `Infinityp53x11` is f64 positive infinity, `NaNp24x8` is f32 NaN.
+
+```k
+ syntax Float ::= #posInfFloat ( FloatTy ) [function, total]
+ // --------------------------------------------------------
+ rule #posInfFloat(floatTyF16) => Infinityp11x5
+ rule #posInfFloat(floatTyF32) => Infinityp24x8
+ rule #posInfFloat(floatTyF64) => Infinityp53x11
+ rule #posInfFloat(floatTyF128) => Infinityp113x15
+
+ syntax Float ::= #nanFloat ( FloatTy ) [function, total]
+ // -----------------------------------------------------
+ rule #nanFloat(floatTyF16) => NaNp11x5
+ rule #nanFloat(floatTyF32) => NaNp24x8
+ rule #nanFloat(floatTyF64) => NaNp53x11
+ rule #nanFloat(floatTyF128) => NaNp113x15
+```
+
+## Decoding Float values from `Bytes` for `OperandConstant`
+
+The `#decodeFloat` function reconstructs a `Float` value from its IEEE 754 byte representation.
+The bytes are first converted to a raw integer, then the sign, biased exponent, and stored significand
+are extracted. The value is reconstructed using K's `Int2Float` and float arithmetic, with a
+high-precision intermediate to avoid overflow when reconstructing subnormals and small normal values.
+
+```k
+ syntax Value ::= #decodeFloat ( Bytes, FloatTy ) [function]
+ // --------------------------------------------------------
+ rule #decodeFloat(BYTES, FLOATTY) => #decodeFloatRaw(Bytes2Int(BYTES, LE, Unsigned), FLOATTY)
+ requires lengthBytes(BYTES) ==Int #bitWidth(FLOATTY) /Int 8
+ [preserves-definedness]
+
+ syntax Value ::= #decodeFloatRaw ( Int, FloatTy ) [function, total]
+ // ----------------------------------------------------------------
+ rule #decodeFloatRaw(RAW, FLOATTY)
+ => #decodeFloatParts(
+ RAW >>Int (#significandBits(FLOATTY) +Int #exponentBits(FLOATTY) -Int 1),
+ (RAW >>Int (#significandBits(FLOATTY) -Int 1)) &Int ((1 < Float(#applyFloatSign(Int2Float(0, #significandBits(FLOATTY), #exponentBits(FLOATTY)), SIGN), #bitWidth(FLOATTY))
+ [preserves-definedness]
+
+ // Subnormal: no implicit leading 1, exponent is 1 - bias
+ rule #decodeFloatParts(SIGN, 0, SIG, FLOATTY)
+ => Float(
+ #applyFloatSign(
+ #reconstructFloat(SIG, 2 -Int #bias(FLOATTY) -Int #significandBits(FLOATTY), FLOATTY),
+ SIGN
+ ),
+ #bitWidth(FLOATTY)
+ )
+ requires SIG =/=Int 0
+ [preserves-definedness]
+
+ // Normal: implicit leading 1 in significand
+ rule #decodeFloatParts(SIGN, EXP, SIG, FLOATTY)
+ => Float(
+ #applyFloatSign(
+ #reconstructFloat(
+ SIG |Int (1 <Int 0 andBool EXP Float(#applyFloatSign(#posInfFloat(FLOATTY), SIGN), #bitWidth(FLOATTY))
+ requires EXP ==Int ((1 < Float(#nanFloat(FLOATTY), #bitWidth(FLOATTY))
+ requires EXP ==Int ((1 < Int2Float(SIG <=Int 0
+ [preserves-definedness]
+
+ rule #reconstructFloat(SIG, AEXP, FLOATTY)
+ => roundFloat(
+ Int2Float(SIG, 256, 64) /Float Int2Float(1 < F
+ rule #applyFloatSign(F, 1) => --Float F
+ rule #applyFloatSign(F, _) => F [owise]
+```
+
## Type Casts Between Different Numeric Types
diff --git a/kmir/src/tests/integration/data/exec-smir/structs-tuples/struct_field_update.state b/kmir/src/tests/integration/data/exec-smir/structs-tuples/struct_field_update.state
index 57665d4db..bed580f75 100644
--- a/kmir/src/tests/integration/data/exec-smir/structs-tuples/struct_field_update.state
+++ b/kmir/src/tests/integration/data/exec-smir/structs-tuples/struct_field_update.state
@@ -28,7 +28,7 @@
ListItem ( newLocal ( ty ( 1 ) , mutabilityMut ) )
ListItem ( typedValue ( Aggregate ( variantIdx ( 0 ) , ListItem ( Integer ( 1 , 32 , true ) )
ListItem ( BoolVal ( true ) )
- ListItem ( thunk ( UnableToDecode ( b"33333sE@" , typeInfoPrimitiveType ( primTypeFloat ( floatTyF64 ) ) ) ) )
+ ListItem ( Float ( 0.42899999999999999e2 , 64 ) )
ListItem ( Aggregate ( variantIdx ( 0 ) , ListItem ( Integer ( 1 , 32 , true ) )
ListItem ( Integer ( 10 , 32 , true ) ) ) ) ) , ty ( 28 ) , mutabilityMut ) )
ListItem ( typedValue ( Moved , ty ( 27 ) , mutabilityMut ) )
diff --git a/kmir/src/tests/integration/data/exec-smir/structs-tuples/structs-tuples.state b/kmir/src/tests/integration/data/exec-smir/structs-tuples/structs-tuples.state
index 47b68a635..e6dc9aec9 100644
--- a/kmir/src/tests/integration/data/exec-smir/structs-tuples/structs-tuples.state
+++ b/kmir/src/tests/integration/data/exec-smir/structs-tuples/structs-tuples.state
@@ -1,6 +1,6 @@
- #execStmts ( .Statements ) ~> #execTerminator ( terminator (... kind: terminatorKindReturn , span: span ( 73 ) ) ) ~> .K
+ #execTerminator ( terminator (... kind: terminatorKindReturn , span: span ( 73 ) ) ) ~> .K
noReturn
@@ -28,17 +28,17 @@
ListItem ( newLocal ( ty ( 1 ) , mutabilityMut ) )
ListItem ( typedValue ( Integer ( 10 , 32 , true ) , ty ( 16 ) , mutabilityNot ) )
ListItem ( typedValue ( BoolVal ( false ) , ty ( 26 ) , mutabilityNot ) )
- ListItem ( typedValue ( thunk ( UnableToDecode ( b"\x00\x00\x00\x00\x00\x00$@" , typeInfoPrimitiveType ( primTypeFloat ( floatTyF64 ) ) ) ) , ty ( 27 ) , mutabilityNot ) )
+ ListItem ( typedValue ( Float ( 0.10000000000000000e2 , 64 ) , ty ( 27 ) , mutabilityNot ) )
ListItem ( StackFrame ( ty ( -1 ) , place (... local: local ( 0 ) , projection: .ProjectionElems ) , noBasicBlockIdx , unwindActionContinue , ListItem ( newLocal ( ty ( 1 ) , mutabilityMut ) )
ListItem ( typedValue ( Aggregate ( variantIdx ( 0 ) , ListItem ( Integer ( 10 , 32 , true ) )
ListItem ( BoolVal ( false ) )
- ListItem ( thunk ( UnableToDecode ( b"\x00\x00\x00\x00\x00\x00$@" , typeInfoPrimitiveType ( primTypeFloat ( floatTyF64 ) ) ) ) ) ) , ty ( 28 ) , mutabilityNot ) )
+ ListItem ( Float ( 0.10000000000000000e2 , 64 ) ) ) , ty ( 28 ) , mutabilityNot ) )
ListItem ( typedValue ( Aggregate ( variantIdx ( 0 ) , ListItem ( Integer ( 11 , 32 , true ) )
ListItem ( BoolVal ( true ) )
- ListItem ( thunk ( UnableToDecode ( b"\x00\x00\x00\x00\x00\x00$@" , typeInfoPrimitiveType ( primTypeFloat ( floatTyF64 ) ) ) ) ) ) , ty ( 29 ) , mutabilityNot ) )
+ ListItem ( Float ( 0.10000000000000000e2 , 64 ) ) ) , ty ( 29 ) , mutabilityNot ) )
ListItem ( typedValue ( Moved , ty ( 27 ) , mutabilityMut ) )
ListItem ( newLocal ( ty ( 1 ) , mutabilityNot ) )
ListItem ( typedValue ( Moved , ty ( 16 ) , mutabilityMut ) )
diff --git a/kmir/src/tests/integration/data/prove-rs/float_arith.rs b/kmir/src/tests/integration/data/prove-rs/float_arith.rs
new file mode 100644
index 000000000..7a202fea5
--- /dev/null
+++ b/kmir/src/tests/integration/data/prove-rs/float_arith.rs
@@ -0,0 +1,41 @@
+#![feature(f16)]
+#![feature(f128)]
+
+fn main() {
+ // f16
+ assert!(1.5_f16 + 2.5_f16 == 4.0_f16);
+ assert!(5.0_f16 - 1.5_f16 == 3.5_f16);
+ assert!(2.0_f16 * 3.0_f16 == 6.0_f16);
+ assert!(7.0_f16 / 2.0_f16 == 3.5_f16);
+
+ // f32
+ assert!(1.5_f32 + 2.5_f32 == 4.0_f32);
+ assert!(5.0_f32 - 1.5_f32 == 3.5_f32);
+ assert!(2.0_f32 * 3.0_f32 == 6.0_f32);
+ assert!(7.0_f32 / 2.0_f32 == 3.5_f32);
+
+ // f64
+ assert!(3.5_f64 + 1.5_f64 == 5.0_f64);
+ assert!(3.5_f64 - 1.5_f64 == 2.0_f64);
+ assert!(3.5_f64 * 1.5_f64 == 5.25_f64);
+ assert!(10.0_f64 / 2.0_f64 == 5.0_f64);
+
+ // f128
+ assert!(1.5_f128 + 2.5_f128 == 4.0_f128);
+ assert!(5.0_f128 - 1.5_f128 == 3.5_f128);
+ assert!(2.0_f128 * 3.0_f128 == 6.0_f128);
+ assert!(7.0_f128 / 2.0_f128 == 3.5_f128);
+
+ // Subnormal constant literals
+ let sub_16: f16 = 5.96e-8_f16; // below f16 min normal (6.1e-5)
+ assert!(sub_16 + sub_16 == sub_16 * 2.0_f16);
+
+ let sub_32: f32 = 1.0e-45_f32; // below f32 min normal (1.2e-38)
+ assert!(sub_32 + sub_32 == sub_32 * 2.0_f32);
+
+ let sub_64: f64 = 5e-324_f64; // below f64 min normal (2.2e-308)
+ assert!(sub_64 + sub_64 == 1e-323_f64);
+
+ let sub_128: f128 = 1.0e-4933_f128; // below f128 min normal (~3.4e-4932)
+ assert!(sub_128 + sub_128 == sub_128 * 2.0_f128);
+}
diff --git a/kmir/src/tests/integration/data/prove-rs/float_cast.rs b/kmir/src/tests/integration/data/prove-rs/float_cast.rs
new file mode 100644
index 000000000..747c9a7da
--- /dev/null
+++ b/kmir/src/tests/integration/data/prove-rs/float_cast.rs
@@ -0,0 +1,22 @@
+#![feature(f16)]
+#![feature(f128)]
+
+fn main() {
+ // FloatToInt
+ assert!(3.14_f16 as i32 == 3);
+ assert!(3.14_f32 as i32 == 3);
+ assert!(3.14_f64 as i32 == 3);
+ assert!(3.14_f128 as i32 == 3);
+
+ // IntToFloat
+ assert!(42_i64 as f16 == 42.0_f16);
+ assert!(42_i64 as f32 == 42.0_f32);
+ assert!(42_i64 as f64 == 42.0_f64);
+ assert!(42_i64 as f128 == 42.0_f128);
+
+ // FloatToFloat
+ assert!(2.5_f32 as f64 == 2.5_f64);
+ assert!(2.5_f64 as f32 == 2.5_f32);
+ assert!(2.5_f16 as f64 == 2.5_f64);
+ assert!(2.5_f64 as f128 == 2.5_f128);
+}
diff --git a/kmir/src/tests/integration/data/prove-rs/float_cmp.rs b/kmir/src/tests/integration/data/prove-rs/float_cmp.rs
new file mode 100644
index 000000000..9144787a2
--- /dev/null
+++ b/kmir/src/tests/integration/data/prove-rs/float_cmp.rs
@@ -0,0 +1,38 @@
+#![feature(f16)]
+#![feature(f128)]
+
+fn main() {
+ // f16
+ assert!(1.0_f16 < 2.0_f16);
+ assert!(2.0_f16 >= 2.0_f16);
+ assert!(3.0_f16 > 1.0_f16);
+ assert!(1.0_f16 <= 1.0_f16);
+
+ // f32
+ assert!(1.0_f32 < 2.0_f32);
+ assert!(2.0_f32 >= 2.0_f32);
+ assert!(3.0_f32 > 1.0_f32);
+ assert!(1.0_f32 <= 1.0_f32);
+
+ // f64
+ assert!(1.0_f64 < 2.0_f64);
+ assert!(2.0_f64 >= 2.0_f64);
+ assert!(3.0_f64 > 1.0_f64);
+ assert!(1.0_f64 <= 1.0_f64);
+
+ // f128
+ assert!(1.0_f128 < 2.0_f128);
+ assert!(2.0_f128 >= 2.0_f128);
+ assert!(3.0_f128 > 1.0_f128);
+ assert!(1.0_f128 <= 1.0_f128);
+
+ // Negative values
+ assert!(-1.0_f16 < 0.0_f16);
+ assert!(-2.0_f16 < -1.0_f16);
+ assert!(-1.0_f32 < 0.0_f32);
+ assert!(-2.0_f32 < -1.0_f32);
+ assert!(-1.0_f64 < 0.0_f64);
+ assert!(-2.0_f64 < -1.0_f64);
+ assert!(-1.0_f128 < 0.0_f128);
+ assert!(-2.0_f128 < -1.0_f128);
+}
diff --git a/kmir/src/tests/integration/data/prove-rs/float_eq.rs b/kmir/src/tests/integration/data/prove-rs/float_eq.rs
new file mode 100644
index 000000000..3e0bbeb43
--- /dev/null
+++ b/kmir/src/tests/integration/data/prove-rs/float_eq.rs
@@ -0,0 +1,30 @@
+#![feature(f16)]
+#![feature(f128)]
+
+fn main() {
+ // f16
+ assert!(1.0_f16 == 1.0_f16);
+ assert!(0.0_f16 == 0.0_f16);
+ assert!(1.0_f16 != 2.0_f16);
+
+ // f32
+ assert!(1.0_f32 == 1.0_f32);
+ assert!(0.0_f32 == 0.0_f32);
+ assert!(1.0_f32 != 2.0_f32);
+
+ // f64
+ assert!(1.0_f64 == 1.0_f64);
+ assert!(0.0_f64 == 0.0_f64);
+ assert!(1.0_f64 != 2.0_f64);
+
+ // f128
+ assert!(1.0_f128 == 1.0_f128);
+ assert!(0.0_f128 == 0.0_f128);
+ assert!(1.0_f128 != 2.0_f128);
+
+ // Negative zero equals positive zero (IEEE 754)
+ assert!(-0.0_f16 == 0.0_f16);
+ assert!(-0.0_f32 == 0.0_f32);
+ assert!(-0.0_f64 == 0.0_f64);
+ assert!(-0.0_f128 == 0.0_f128);
+}
diff --git a/kmir/src/tests/integration/data/prove-rs/float_neg.rs b/kmir/src/tests/integration/data/prove-rs/float_neg.rs
new file mode 100644
index 000000000..065ff2bc2
--- /dev/null
+++ b/kmir/src/tests/integration/data/prove-rs/float_neg.rs
@@ -0,0 +1,30 @@
+#![feature(f16)]
+#![feature(f128)]
+
+fn main() {
+ // f16
+ let a16: f16 = 3.5;
+ assert!(-a16 == -3.5_f16);
+ assert!(-(-a16) == a16);
+
+ // f32
+ let a32: f32 = 3.5;
+ assert!(-a32 == -3.5_f32);
+ assert!(-(-a32) == a32);
+
+ // f64
+ let a64: f64 = 3.5;
+ assert!(-a64 == -3.5_f64);
+ assert!(-(-a64) == a64);
+
+ // f128
+ let a128: f128 = 3.5;
+ assert!(-a128 == -3.5_f128);
+ assert!(-(-a128) == a128);
+
+ // Negating zero
+ assert!(-0.0_f16 == 0.0_f16);
+ assert!(-0.0_f32 == 0.0_f32);
+ assert!(-0.0_f64 == 0.0_f64);
+ assert!(-0.0_f128 == 0.0_f128);
+}
diff --git a/kmir/src/tests/integration/data/prove-rs/float_special.rs b/kmir/src/tests/integration/data/prove-rs/float_special.rs
new file mode 100644
index 000000000..aa6449da2
--- /dev/null
+++ b/kmir/src/tests/integration/data/prove-rs/float_special.rs
@@ -0,0 +1,56 @@
+#![feature(f16)]
+#![feature(f128)]
+
+fn main() {
+ // f16 infinity
+ let inf_16: f16 = 1.0_f16 / 0.0_f16;
+ let neg_inf_16: f16 = -1.0_f16 / 0.0_f16;
+ assert!(inf_16 == inf_16);
+ assert!(neg_inf_16 == -inf_16);
+
+ // f16 NaN
+ let nan_16: f16 = 0.0_f16 / 0.0_f16;
+ assert!(nan_16 != nan_16);
+ assert!(!(nan_16 == nan_16));
+
+ // f32 infinity
+ let inf_32: f32 = 1.0_f32 / 0.0_f32;
+ let neg_inf_32: f32 = -1.0_f32 / 0.0_f32;
+ assert!(inf_32 == inf_32);
+ assert!(inf_32 > 1.0e38_f32);
+ assert!(neg_inf_32 < -1.0e38_f32);
+ assert!(neg_inf_32 == -inf_32);
+
+ // f32 NaN
+ let nan_32: f32 = 0.0_f32 / 0.0_f32;
+ assert!(nan_32 != nan_32);
+ assert!(!(nan_32 == nan_32));
+ assert!(!(nan_32 < 0.0_f32));
+ assert!(!(nan_32 > 0.0_f32));
+
+ // f64 infinity
+ let inf_64: f64 = 1.0_f64 / 0.0_f64;
+ let neg_inf_64: f64 = -1.0_f64 / 0.0_f64;
+ assert!(inf_64 == inf_64);
+ assert!(inf_64 > 1.0e308_f64);
+ assert!(neg_inf_64 < -1.0e308_f64);
+ assert!(neg_inf_64 == -inf_64);
+
+ // f64 NaN
+ let nan_64: f64 = 0.0_f64 / 0.0_f64;
+ assert!(nan_64 != nan_64);
+ assert!(!(nan_64 == nan_64));
+ assert!(!(nan_64 < 0.0_f64));
+ assert!(!(nan_64 > 0.0_f64));
+
+ // f128 infinity
+ let inf_128: f128 = 1.0_f128 / 0.0_f128;
+ let neg_inf_128: f128 = -1.0_f128 / 0.0_f128;
+ assert!(inf_128 == inf_128);
+ assert!(neg_inf_128 == -inf_128);
+
+ // f128 NaN
+ let nan_128: f128 = 0.0_f128 / 0.0_f128;
+ assert!(nan_128 != nan_128);
+ assert!(!(nan_128 == nan_128));
+}
diff --git a/kmir/src/tests/integration/test_integration.py b/kmir/src/tests/integration/test_integration.py
index 8c59cce9b..99cf1851c 100644
--- a/kmir/src/tests/integration/test_integration.py
+++ b/kmir/src/tests/integration/test_integration.py
@@ -380,6 +380,17 @@ def test_crate_examples(main_crate: Path, kmir: KMIR, update_expected_output: bo
]
+# Tests containing float values that the pure kore-exec haskell backend cannot handle.
+# The haskell backend has no Float builtins (no Float.hs in kore/src/Kore/Builtin/),
+# so kore-exec crashes with "missing hook FLOAT.int2float" at Evaluator.hs:377.
+# The booster avoids this by delegating Float evaluation to the LLVM shared library
+# via simplifyTerm in booster/library/Booster/LLVM.hs.
+EXEC_SMIR_SKIP_HASKELL = {
+ 'structs-tuples',
+ 'struct-field-update',
+}
+
+
@pytest.mark.parametrize('symbolic', [False, True], ids=['llvm', 'haskell'])
@pytest.mark.parametrize(
'test_case',
@@ -392,7 +403,9 @@ def test_exec_smir(
update_expected_output: bool,
tmp_path: Path,
) -> None:
- _, input_json, output_kast, depth = test_case
+ name, input_json, output_kast, depth = test_case
+ if symbolic and name in EXEC_SMIR_SKIP_HASKELL:
+ pytest.skip('haskell-backend lacks FLOAT hooks')
smir_info = SMIRInfo.from_file(input_json)
kmir_backend = KMIR.from_kompiled_kore(smir_info, target_dir=tmp_path, symbolic=symbolic)
result = kmir_backend.run_smir(smir_info, depth=depth)