tint: f16 literal in WGSL lexer and check subnormal f32/f16 hex literal
This patch 1. Add F16 literal support in WGSL lexer and parser for both decimal and hex form. Also fix the f16::Quantize method to deal with subnormal cases correctly. 2. Fix exactly-representable check for hex f32 literal to deal with subnormal cases. 3. Implement and fix related unitests for f16 and f32. Bug: tint:1473, tint:1502 Change-Id: Ia4a7c9144ef9323fb23b2200a64e1ca8afb6c334 Reviewed-on: https://dawn-review.googlesource.com/c/dawn/+/93100 Reviewed-by: David Neto <dneto@google.com> Commit-Queue: Zhaoming Jiang <zhaoming.jiang@intel.com> Commit-Queue: David Neto <dneto@google.com>
This commit is contained in:
Zhaoming Jiang
Dawn LUCI CQ
parent
856d6af57e
commit
0fb4e2c608
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@ -15,9 +15,12 @@
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#include "src/tint/number.h"
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#include <algorithm>
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#include <cmath>
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#include <cstring>
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#include <ostream>
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#include "src/tint/debug.h"
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namespace tint {
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std::ostream& operator<<(std::ostream& out, ConversionFailure failure) {
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@ -38,18 +41,165 @@ f16::type f16::Quantize(f16::type value) {
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return -std::numeric_limits<f16::type>::infinity();
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}
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// Below value must be within the finite range of a f16.
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// Assert we use binary32 (i.e. float) as underlying type, which has 4 bytes.
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static_assert(std::is_same<f16::type, float>());
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const uint32_t sign_mask = 0x80000000u; // Mask for the sign bit
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const uint32_t exponent_mask = 0x7f800000u; // Mask for 8 exponent bits
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uint32_t u32;
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memcpy(&u32, &value, 4);
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if ((u32 & 0x7fffffffu) == 0) { // ~sign
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if ((u32 & ~sign_mask) == 0) {
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return value; // +/- zero
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}
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if ((u32 & 0x7f800000) == 0x7f800000) { // exponent all 1's
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if ((u32 & exponent_mask) == exponent_mask) { // exponent all 1's
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return value; // inf or nan
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}
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// f32 bits : 1 sign, 8 exponent, 23 mantissa
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// f16 bits : 1 sign, 5 exponent, 10 mantissa
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// Mask the value to preserve the sign, exponent and most-significant 10 mantissa bits.
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u32 = u32 & 0xffffe000u;
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// We are now going to quantize a f32 number into subnormal f16 and store the result value back
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// into a f32 variable. Notice that all subnormal f16 values are just normal f32 values. Below
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// will show that we can do this quantization by just masking out 13 or more lowest mantissa
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// bits of the original f32 number.
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//
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// Note:
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// f32 has 1 sign bit, 8 exponent bits for biased exponent (i.e. unbiased exponent + 127), and
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// 23 mantissa bits. Binary form: s_eeeeeeee_mmmmmmmmmmmmmmmmmmmmmmm
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// f16 has 1 sign bit, 5 exponent bits for biased exponent (i.e. unbiased exponent + 15), and
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// 10 mantissa bits. Binary form: s_eeeee_mmmmmmmmmm
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// The largest finite f16 number has a biased exponent of 11110 in binary, or 30 decimal, and so
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// a unbiased exponent of 30 - 15 = 15.
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// The smallest finite f16 number has a biased exponent of 00001 in binary, or 1 decimal, and so
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// a unbiased exponent of 1 - 15 = -14.
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//
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// We may follow the argument below:
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// 1. All normal or subnormal f16 values, range from 0x1.p-24 to 0x1.ffcp15, are exactly
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// representable by normal f32 number.
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// 1.1. We can denote the set of all f32 number that are exact representation of finite f16
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// values by `R`.
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// 1.2. We can do the quantization by mapping a normal f32 value v (in the f16 finite range)
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// to a certain f32 number v' in the set R, which is the largest (by the meaning of absolute
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// value) one among all values in R that are no larger than v.
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// 2. We can decide whether a given normal f32 number v is in the set R, by looking at its
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// mantissa bits and biased exponent `e`. Recall that biased exponent e is unbiased exponent +
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// 127, and in the range of 1 to 254 for normal f32 number.
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// 2.1. If e >= 143, i.e. abs(v) >= 2^16 > f16::kHighest = 0x1.ffcp15, v is larger than any
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// finite f16 value and can not be in set R.
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// 2.2. If 142 >= e >= 113, or f16::kHighest >= abs(v) >= f16::kSmallest = 2^-14, v falls in
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// the range of normal f16 values. In this case, v is in the set R iff the lowest 13 mantissa
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// bits are all 0. (See below for proof)
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// 2.2.1. If we let v' be v with lowest 13 mantissa bits masked to 0, v' will be in set R
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// and the largest one in set R that no larger than v. Such v' is the quantized value of v.
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// 2.3. If 112 >= e >= 103, i.e. 2^-14 > abs(v) >= f16::kSmallestSubnormal = 2^-24, v falls in
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// the range of subnormal f16 values. In this case, v is in the set R iff the lowest 126-e
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// mantissa bits are all 0. Notice that 126-e is in range 14 to 23, inclusive. (See below for
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// proof)
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// 2.3.1. If we let v' be v with lowest 126-e mantissa bits masked to 0, v' will be in set R
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// and the largest on in set R that no larger than v. Such v' is the quantized value of v.
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// 2.4. If 2^-24 > abs(v) > 0, i.e. 103 > e, v is smaller than any finite f16 value and not
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// equal to 0.0, thus can not be in set R.
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// 2.5. If abs(v) = 0, v is in set R and is just +-0.0.
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//
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// Proof for 2.2:
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// Any normal f16 number, in binary form, s_eeeee_mmmmmmmmmm, has value
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// (s==0?1:-1)*(1+uint(mmmmm_mmmmm)*(2^-10))*2^(uint(eeeee)-15)
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// in which unit(bbbbb) means interprete binary pattern "bbbbb" as unsigned binary number,
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// and we have 1 <= uint(eeeee) <= 30.
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// This value is equal to a normal f32 number with binary
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// s_EEEEEEEE_mmmmmmmmmm0000000000000
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// where uint(EEEEEEEE) = uint(eeeee) + 112, so that unbiased exponent keep unchanged
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// uint(EEEEEEEE) - 127 = uint(eeeee) - 15
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// and its value is
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// (s==0?1:-1)*(1+uint(mmmmm_mmmmm_00000_00000_000)*(2^-23))*2^(uint(EEEEEEEE)-127)
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// == (s==0?1:-1)*(1+uint(mmmmm_mmmmm)*(2^-10))*2^(uint(eeeee)-15)
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// Notice that uint(EEEEEEEE) is in range [113, 142], showing that it is a normal f32 number.
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// So we proof that any normal f16 number can be exactly representd by a normal f32 number
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// with biased exponent in range [113,142] and the lowest 13 mantissa bits 0.
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// On the other hand, since mantissa bits mmmmmmmmmm are arbitrary, the value of any f32
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// that has a biased exponent in range [113, 142] and lowest 13 mantissa bits zero is equal
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// to a normal f16 value. Hence we proof 2.2.
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//
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// Proof for 2.3:
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// Any subnormal f16 number has a binary form of s_00000_mmmmmmmmmm, and its value is
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// (s==0?1:-1)*uint(mmmmmmmmmm)*(2^-10)*(2^-14) = (s==0?1:-1)*uint(mmmmmmmmmm)*(2^-24).
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// We discuss on bit pattern of mantissa bits mmmmmmmmmm.
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// Case 1: mantissa bits has no leading zero bit, s_00000_1mmmmmmmmm
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// In this case the value is
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// (s==0?1:-1)*uint(1mmmm_mmmmm)*(2^-10)*(2^-14)
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// == (s==0?1:-1)*(uint(1_mmmmm_mmmm)*(2^-9))*(2^-15)
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// == (s==0?1:-1)*(1+uint(mmmmm_mmmm)*(2^-9))*(2^-15)
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// == (s==0?1:-1)*(1+uint(mmmmm_mmmm0_00000_00000_000)*(2^-23))*(2^-15)
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// which is equal to the value of normal f32 number
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// s_EEEEEEEE_mmmmm_mmmm0_00000_00000_000
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// where uint(EEEEEEEE) = -15 + 127 = 112. Hence we proof that any subnormal f16 number
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// with no leading zero mantissa bit can be exactly represented by a f32 number with
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// biased exponent 112 and the lowest 14 mantissa bits zero, and the value of any f32
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// number with biased exponent 112 and the lowest 14 mantissa bits zero are equal to a
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// subnormal f16 number with no leading zero mantissa bit.
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// Case 2: mantissa bits has 1 leading zero bit, s_00000_01mmmmmmmm
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// In this case the value is
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// (s==0?1:-1)*uint(01mmm_mmmmm)*(2^-10)*(2^-14)
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// == (s==0?1:-1)*(uint(01_mmmmm_mmm)*(2^-8))*(2^-16)
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// == (s==0?1:-1)*(1+uint(mmmmm_mmm)*(2^-8))*(2^-16)
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// == (s==0?1:-1)*(1+uint(mmmmm_mmm00_00000_00000_000)*(2^-23))*(2^-16)
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// which is equal to the value of normal f32 number
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// s_EEEEEEEE_mmmmm_mmm00_00000_00000_000
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// where uint(EEEEEEEE) = -16 + 127 = 111. Hence we proof that any subnormal f16 number
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// with 1 leading zero mantissa bit can be exactly represented by a f32 number with
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// biased exponent 111 and the lowest 15 mantissa bits zero, and the value of any f32
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// number with biased exponent 111 and the lowest 15 mantissa bits zero are equal to a
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// subnormal f16 number with 1 leading zero mantissa bit.
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// Case 3 to case 8: ......
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// Case 9: mantissa bits has 8 leading zero bit, s_00000_000000001m
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// In this case the value is
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// (s==0?1:-1)*uint(00000_0001m)*(2^-10)*(2^-14)
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// == (s==0?1:-1)*(uint(000000001_m)*(2^-1))*(2^-23)
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// == (s==0?1:-1)*(1+uint(m)*(2^-1))*(2^-23)
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// == (s==0?1:-1)*(1+uint(m0000_00000_00000_00000_000)*(2^-23))*(2^-23)
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// which is equal to the value of normal f32 number
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// s_EEEEEEEE_m0000_00000_00000_00000_000
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// where uint(EEEEEEEE) = -23 + 127 = 104. Hence we proof that any subnormal f16 number
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// with 8 leading zero mantissa bit can be exactly represented by a f32 number with
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// biased exponent 104 and the lowest 22 mantissa bits zero, and the value of any f32
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// number with biased exponent 104 and the lowest 22 mantissa bits zero are equal to a
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// subnormal f16 number with 8 leading zero mantissa bit.
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// Case 10: mantissa bits has 9 leading zero bit, s_00000_0000000001
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// In this case the value is just +-2^-24 = +-0x1.0p-24,
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// the f32 number has biased exponent 103 and all 23 mantissa bits zero.
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// Case 11: mantissa bits has 10 leading zero bit, s_00000_0000000000, just 0.0
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// Concluding all these case, we proof that any subnormal f16 number with N leading zero
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// mantissa bit can be exactly represented by a f32 number with biased exponent 112-N and the
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// lowest 14+N mantissa bits zero, and the value of any f32 number with biased exponent 112-N (=
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// e) and the lowest 14+N (= 126-e) mantissa bits zero are equal to a subnormal f16 number with
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// N leading zero mantissa bit. N is in range [0, 9], so the f32 number's biased exponent e is
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// in range [103, 112], or unbiased exponent in [-24, -15].
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float abs_value = std::fabs(value);
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if (abs_value >= kSmallest) {
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// Value falls in the normal f16 range, quantize it to a normal f16 value by masking out
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// lowest 13 mantissa bits.
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u32 = u32 & ~((1u << 13) - 1);
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} else if (abs_value >= kSmallestSubnormal) {
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// Value should be quantized to a subnormal f16 value.
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// Get the biased exponent `e` of f32 value, e.g. value 127 representing exponent 2^0.
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uint32_t biased_exponent_original = (u32 & exponent_mask) >> 23;
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// Since we ensure that kSmallest = 0x1f-14 > abs(value) >= kSmallestSubnormal = 0x1f-24,
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// value will have a unbiased exponent in range -24 to -15 (inclusive), and the
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// corresponding biased exponent in f32 is in range 103 to 112 (inclusive).
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TINT_ASSERT(Semantic,
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(103 <= biased_exponent_original) && (biased_exponent_original <= 112));
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// As we have proved, masking out the lowest 126-e mantissa bits of input value will result
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// in a valid subnormal f16 value, which is exactly the required quantization result.
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uint32_t discard_bits = 126 - biased_exponent_original; // In range 14 to 23 (inclusive)
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TINT_ASSERT(Semantic, (14 <= discard_bits) && (discard_bits <= 23));
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uint32_t discard_mask = (1u << discard_bits) - 1;
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u32 = u32 & ~discard_mask;
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} else {
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// value is too small that it can't even be represented as subnormal f16 number. Quantize
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// to zero.
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return value > 0 ? 0.0 : -0.0;
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}
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memcpy(&value, &u32, 4);
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return value;
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}
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@ -86,6 +86,10 @@ struct Number {
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static constexpr type kSmallest =
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std::is_integral_v<type> ? 0 : std::numeric_limits<type>::min();
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/// Smallest positive subnormal value of this type, 0 for integral type.
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static constexpr type kSmallestSubnormal =
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std::is_integral_v<type> ? 0 : std::numeric_limits<type>::denorm_min();
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/// Constructor. The value is zero-initialized.
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Number() = default;
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@ -201,7 +205,12 @@ struct Number<detail::NumberKindF16> {
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static constexpr type kLowest = -65504.0f;
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/// Smallest positive normal value of this type.
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static constexpr type kSmallest = 0.00006103515625f; // 2⁻¹⁴
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/// binary16 0_00001_0000000000, value is 2⁻¹⁴.
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static constexpr type kSmallest = 0x1p-14f;
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/// Smallest positive subnormal value of this type.
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/// binary16 0_00000_0000000001, value is 2⁻¹⁴ * 2⁻¹⁰ = 2⁻²⁴.
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static constexpr type kSmallestSubnormal = 0x1p-24f;
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/// Constructor. The value is zero-initialized.
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Number() = default;
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@ -52,7 +52,7 @@ constexpr double kHighestF16NextULP = 0x1.ffc0000000001p+15;
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// Smallest positive normal float16 value.
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constexpr double kSmallestF16 = 0x1p-14;
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// Highest subnormal value for a float32.
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// Highest subnormal value for a float16.
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constexpr double kHighestF16Subnormal = 0x0.ffcp-14;
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constexpr double kLowestF32 = -kHighestF32;
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@ -141,6 +141,67 @@ TEST(NumberTest, QuantizeF16) {
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EXPECT_EQ(f16(inf), inf);
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EXPECT_EQ(f16(-inf), -inf);
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EXPECT_TRUE(std::isnan(f16(nan)));
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// Test for subnormal quantization.
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// The ULP is based on float rather than double or f16, since F16::Quantize take float as input.
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constexpr float lowestPositiveNormalF16 = 0x1p-14;
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constexpr float lowestPositiveNormalF16PlusULP = 0x1.000002p-14;
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constexpr float lowestPositiveNormalF16MinusULP = 0x1.fffffep-15;
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constexpr float highestPositiveSubnormalF16 = 0x0.ffcp-14;
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constexpr float highestPositiveSubnormalF16PlusULP = 0x1.ff8002p-15;
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constexpr float highestPositiveSubnormalF16MinusULP = 0x1.ff7ffep-15;
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constexpr float lowestPositiveSubnormalF16 = 0x1.p-24;
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constexpr float lowestPositiveSubnormalF16PlusULP = 0x1.000002p-24;
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constexpr float lowestPositiveSubnormalF16MinusULP = 0x1.fffffep-25;
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constexpr float highestNegativeNormalF16 = -lowestPositiveNormalF16;
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constexpr float highestNegativeNormalF16PlusULP = -lowestPositiveNormalF16MinusULP;
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constexpr float highestNegativeNormalF16MinusULP = -lowestPositiveNormalF16PlusULP;
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constexpr float lowestNegativeSubnormalF16 = -highestPositiveSubnormalF16;
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constexpr float lowestNegativeSubnormalF16PlusULP = -highestPositiveSubnormalF16MinusULP;
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constexpr float lowestNegativeSubnormalF16MinusULP = -highestPositiveSubnormalF16PlusULP;
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constexpr float highestNegativeSubnormalF16 = -lowestPositiveSubnormalF16;
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constexpr float highestNegativeSubnormalF16PlusULP = -lowestPositiveSubnormalF16MinusULP;
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constexpr float highestNegativeSubnormalF16MinusULP = -lowestPositiveSubnormalF16PlusULP;
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// Value larger than or equal to lowest positive normal f16 will be quantized to normal f16.
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EXPECT_EQ(f16(lowestPositiveNormalF16PlusULP), lowestPositiveNormalF16);
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EXPECT_EQ(f16(lowestPositiveNormalF16), lowestPositiveNormalF16);
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// Positive value smaller than lowest positive normal f16 but not smaller than lowest positive
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// subnormal f16 will be quantized to subnormal f16 or zero.
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EXPECT_EQ(f16(lowestPositiveNormalF16MinusULP), highestPositiveSubnormalF16);
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EXPECT_EQ(f16(highestPositiveSubnormalF16PlusULP), highestPositiveSubnormalF16);
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EXPECT_EQ(f16(highestPositiveSubnormalF16), highestPositiveSubnormalF16);
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EXPECT_EQ(f16(highestPositiveSubnormalF16MinusULP), 0x0.ff8p-14);
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EXPECT_EQ(f16(lowestPositiveSubnormalF16PlusULP), lowestPositiveSubnormalF16);
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EXPECT_EQ(f16(lowestPositiveSubnormalF16), lowestPositiveSubnormalF16);
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// Positive value smaller than lowest positive subnormal f16 will be quantized to zero.
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EXPECT_EQ(f16(lowestPositiveSubnormalF16MinusULP), 0.0);
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// Test the mantissa discarding, the least significant mantissa bit is 0x1p-24 = 0x0.004p-14.
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EXPECT_EQ(f16(0x0.064p-14), 0x0.064p-14);
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EXPECT_EQ(f16(0x0.067fecp-14), 0x0.064p-14);
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EXPECT_EQ(f16(0x0.063ffep-14), 0x0.060p-14);
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EXPECT_EQ(f16(0x0.008p-14), 0x0.008p-14);
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EXPECT_EQ(f16(0x0.00bffep-14), 0x0.008p-14);
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EXPECT_EQ(f16(0x0.007ffep-14), 0x0.004p-14);
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// Vice versa for negative cases.
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EXPECT_EQ(f16(highestNegativeNormalF16MinusULP), highestNegativeNormalF16);
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EXPECT_EQ(f16(highestNegativeNormalF16), highestNegativeNormalF16);
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EXPECT_EQ(f16(highestNegativeNormalF16PlusULP), lowestNegativeSubnormalF16);
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EXPECT_EQ(f16(lowestNegativeSubnormalF16MinusULP), lowestNegativeSubnormalF16);
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EXPECT_EQ(f16(lowestNegativeSubnormalF16), lowestNegativeSubnormalF16);
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EXPECT_EQ(f16(lowestNegativeSubnormalF16PlusULP), -0x0.ff8p-14);
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EXPECT_EQ(f16(highestNegativeSubnormalF16MinusULP), highestNegativeSubnormalF16);
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EXPECT_EQ(f16(highestNegativeSubnormalF16), highestNegativeSubnormalF16);
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EXPECT_EQ(f16(highestNegativeSubnormalF16PlusULP), 0.0);
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// Test the mantissa discarding.
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EXPECT_EQ(f16(-0x0.064p-14), -0x0.064p-14);
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EXPECT_EQ(f16(-0x0.067fecp-14), -0x0.064p-14);
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EXPECT_EQ(f16(-0x0.063ffep-14), -0x0.060p-14);
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EXPECT_EQ(f16(-0x0.008p-14), -0x0.008p-14);
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EXPECT_EQ(f16(-0x0.00bffep-14), -0x0.008p-14);
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EXPECT_EQ(f16(-0x0.007ffep-14), -0x0.004p-14);
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}
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using BinaryCheckedCase = std::tuple<std::optional<AInt>, AInt, AInt>;
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@ -343,12 +343,16 @@ Token Lexer::try_float() {
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}
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bool has_f_suffix = false;
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bool has_h_suffix = false;
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if (end < length() && matches(end, "f")) {
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end++;
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has_f_suffix = true;
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} else if (end < length() && matches(end, "h")) {
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end++;
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has_h_suffix = true;
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}
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if (!has_point && !has_exponent && !has_f_suffix) {
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if (!has_point && !has_exponent && !has_f_suffix && !has_h_suffix) {
|
||||
// If it only has digits then it's an integer.
|
||||
return {};
|
||||
}
|
||||
|
|
@ -369,6 +373,14 @@ Token Lexer::try_float() {
|
|||
}
|
||||
}
|
||||
|
||||
if (has_h_suffix) {
|
||||
if (auto f = CheckedConvert<f16>(AFloat(value))) {
|
||||
return {Token::Type::kFloatLiteral_H, source, static_cast<double>(f.Get())};
|
||||
} else {
|
||||
return {Token::Type::kError, source, "value cannot be represented as 'f16'"};
|
||||
}
|
||||
}
|
||||
|
||||
if (value == HUGE_VAL || -value == HUGE_VAL) {
|
||||
return {Token::Type::kError, source, "value cannot be represented as 'abstract-float'"};
|
||||
} else {
|
||||
|
|
@ -547,6 +559,7 @@ Token Lexer::try_hex_float() {
|
|||
int64_t exponent_sign = 1;
|
||||
// If the 'p' part is present, the rest of the exponent must exist.
|
||||
bool has_f_suffix = false;
|
||||
bool has_h_suffix = false;
|
||||
if (has_exponent) {
|
||||
// Parse the rest of the exponent.
|
||||
// (+|-)?
|
||||
|
|
@ -574,12 +587,15 @@ Token Lexer::try_hex_float() {
|
|||
end++;
|
||||
}
|
||||
|
||||
// Parse optional 'f' suffix. For a hex float, it can only exist
|
||||
// Parse optional 'f' or 'h' suffix. For a hex float, it can only exist
|
||||
// when the exponent is present. Otherwise it will look like
|
||||
// one of the mantissa digits.
|
||||
if (end < length() && matches(end, "f")) {
|
||||
has_f_suffix = true;
|
||||
end++;
|
||||
} else if (end < length() && matches(end, "h")) {
|
||||
has_h_suffix = true;
|
||||
end++;
|
||||
}
|
||||
|
||||
if (!has_exponent_digits) {
|
||||
|
|
@ -648,7 +664,7 @@ Token Lexer::try_hex_float() {
|
|||
}
|
||||
|
||||
if (signed_exponent >= kExponentMax || (signed_exponent == kExponentMax && mantissa != 0)) {
|
||||
std::string type = has_f_suffix ? "f32" : "abstract-float";
|
||||
std::string type = has_f_suffix ? "f32" : (has_h_suffix ? "f16" : "abstract-float");
|
||||
return {Token::Type::kError, source, "value cannot be represented as '" + type + "'"};
|
||||
}
|
||||
|
||||
|
|
@ -667,14 +683,98 @@ Token Lexer::try_hex_float() {
|
|||
result_f64 > static_cast<double>(f32::kHighest)) {
|
||||
return {Token::Type::kError, source, "value cannot be represented as 'f32'"};
|
||||
}
|
||||
// Check the value can be exactly represented (low 29 mantissa bits must be 0)
|
||||
if (result_u64 & 0x1fffffff) {
|
||||
// Check the value can be exactly represented, i.e. only high 23 mantissa bits are valid for
|
||||
// normal f32 values, and less for subnormal f32 values. The rest low mantissa bits must be
|
||||
// 0.
|
||||
int valid_mantissa_bits = 0;
|
||||
double abs_result_f64 = std::fabs(result_f64);
|
||||
if (abs_result_f64 >= static_cast<double>(f32::kSmallest)) {
|
||||
// The result shall be a normal f32 value.
|
||||
valid_mantissa_bits = 23;
|
||||
} else if (abs_result_f64 >= static_cast<double>(f32::kSmallestSubnormal)) {
|
||||
// The result shall be a subnormal f32 value, represented as double.
|
||||
// The smallest positive normal f32 is f32::kSmallest = 2^-126 = 0x1.0p-126, and the
|
||||
// smallest positive subnormal f32 is f32::kSmallestSubnormal = 2^-149. Thus, the
|
||||
// value v in range 2^-126 > v >= 2^-149 must be represented as a subnormal f32
|
||||
// number, but is still normal double (f64) number, and has a exponent in range -127
|
||||
// to -149, inclusive.
|
||||
// A value v, if 2^-126 > v >= 2^-127, its binary32 representation will have binary form
|
||||
// s_00000000_1xxxxxxxxxxxxxxxxxxxxxx, having mantissa of 1 leading 1 bit and 22
|
||||
// arbitrary bits. Since this value is represented as normal double number, the
|
||||
// leading 1 bit is omitted, only the highest 22 mantissia bits can be arbitrary, and
|
||||
// the rest lowest 40 mantissa bits of f64 number must be zero.
|
||||
// 2^-127 > v >= 2^-128, binary32 s_00000000_01xxxxxxxxxxxxxxxxxxxxx, having mantissa of
|
||||
// 1 leading 0 bit, 1 leading 1 bit, and 21 arbitrary bits. The f64 representation
|
||||
// omits the leading 0 and 1 bits, and only the highest 21 mantissia bits can be
|
||||
// arbitrary.
|
||||
// 2^-128 > v >= 2^-129, binary32 s_00000000_001xxxxxxxxxxxxxxxxxxxx, 20 arbitrary bits.
|
||||
// ...
|
||||
// 2^-147 > v >= 2^-148, binary32 s_00000000_0000000000000000000001x, 1 arbitrary bit.
|
||||
// 2^-148 > v >= 2^-149, binary32 s_00000000_00000000000000000000001, 0 arbitrary bit.
|
||||
int unbiased_exponent = signed_exponent - kExponentBias;
|
||||
TINT_ASSERT(Reader, (unbiased_exponent <= -127) && (unbiased_exponent >= -149));
|
||||
valid_mantissa_bits = unbiased_exponent + 149; // 0 for -149, and 22 for -127
|
||||
} else if (abs_result_f64 != 0.0) {
|
||||
// The result is smaller than the smallest subnormal f32 value, but not equal to zero.
|
||||
// Such value will never be exactly represented by f32.
|
||||
return {Token::Type::kError, source, "value cannot be exactly represented as 'f32'"};
|
||||
}
|
||||
// Check the low 52-valid_mantissa_bits mantissa bits must be 0.
|
||||
TINT_ASSERT(Reader, (0 <= valid_mantissa_bits) && (valid_mantissa_bits <= 23));
|
||||
if (result_u64 & ((uint64_t(1) << (52 - valid_mantissa_bits)) - 1)) {
|
||||
return {Token::Type::kError, source, "value cannot be exactly represented as 'f32'"};
|
||||
}
|
||||
return {Token::Type::kFloatLiteral_F, source, result_f64};
|
||||
} else if (has_h_suffix) {
|
||||
// Check value fits in f16
|
||||
if (result_f64 < static_cast<double>(f16::kLowest) ||
|
||||
result_f64 > static_cast<double>(f16::kHighest)) {
|
||||
return {Token::Type::kError, source, "value cannot be represented as 'f16'"};
|
||||
}
|
||||
// Check the value can be exactly represented, i.e. only high 10 mantissa bits are valid for
|
||||
// normal f16 values, and less for subnormal f16 values. The rest low mantissa bits must be
|
||||
// 0.
|
||||
int valid_mantissa_bits = 0;
|
||||
double abs_result_f64 = std::fabs(result_f64);
|
||||
if (abs_result_f64 >= static_cast<double>(f16::kSmallest)) {
|
||||
// The result shall be a normal f16 value.
|
||||
valid_mantissa_bits = 10;
|
||||
} else if (abs_result_f64 >= static_cast<double>(f16::kSmallestSubnormal)) {
|
||||
// The result shall be a subnormal f16 value, represented as double.
|
||||
// The smallest positive normal f16 is f16::kSmallest = 2^-14 = 0x1.0p-14, and the
|
||||
// smallest positive subnormal f16 is f16::kSmallestSubnormal = 2^-24. Thus, the value
|
||||
// v in range 2^-14 > v >= 2^-24 must be represented as a subnormal f16 number, but
|
||||
// is still normal double (f64) number, and has a exponent in range -15 to -24,
|
||||
// inclusive.
|
||||
// A value v, if 2^-14 > v >= 2^-15, its binary16 representation will have binary form
|
||||
// s_00000_1xxxxxxxxx, having mantissa of 1 leading 1 bit and 9 arbitrary bits. Since
|
||||
// this value is represented as normal double number, the leading 1 bit is omitted,
|
||||
// only the highest 9 mantissia bits can be arbitrary, and the rest lowest 43 mantissa
|
||||
// bits of f64 number must be zero.
|
||||
// 2^-15 > v >= 2^-16, binary16 s_00000_01xxxxxxxx, having mantissa of 1 leading 0 bit,
|
||||
// 1 leading 1 bit, and 8 arbitrary bits. The f64 representation omits the leading 0
|
||||
// and 1 bits, and only the highest 8 mantissia bits can be arbitrary.
|
||||
// 2^-16 > v >= 2^-17, binary16 s_00000_001xxxxxxx, 7 arbitrary bits.
|
||||
// ...
|
||||
// 2^-22 > v >= 2^-23, binary16 s_00000_000000001x, 1 arbitrary bits.
|
||||
// 2^-23 > v >= 2^-24, binary16 s_00000_0000000001, 0 arbitrary bits.
|
||||
int unbiased_exponent = signed_exponent - kExponentBias;
|
||||
TINT_ASSERT(Reader, (unbiased_exponent <= -15) && (unbiased_exponent >= -24));
|
||||
valid_mantissa_bits = unbiased_exponent + 24; // 0 for -24, and 9 for -15
|
||||
} else if (abs_result_f64 != 0.0) {
|
||||
// The result is smaller than the smallest subnormal f16 value, but not equal to zero.
|
||||
// Such value will never be exactly represented by f16.
|
||||
return {Token::Type::kError, source, "value cannot be exactly represented as 'f16'"};
|
||||
}
|
||||
// Check the low 52-valid_mantissa_bits mantissa bits must be 0.
|
||||
TINT_ASSERT(Reader, (0 <= valid_mantissa_bits) && (valid_mantissa_bits <= 10));
|
||||
if (result_u64 & ((uint64_t(1) << (52 - valid_mantissa_bits)) - 1)) {
|
||||
return {Token::Type::kError, source, "value cannot be exactly represented as 'f16'"};
|
||||
}
|
||||
return {Token::Type::kFloatLiteral_H, source, result_f64};
|
||||
}
|
||||
|
||||
return {has_f_suffix ? Token::Type::kFloatLiteral_F : Token::Type::kFloatLiteral, source,
|
||||
result_f64};
|
||||
return {Token::Type::kFloatLiteral, source, result_f64};
|
||||
}
|
||||
|
||||
Token Lexer::build_token_from_int_if_possible(Source source, size_t start, int32_t base) {
|
||||
|
|
|
|||
|
|
@ -19,6 +19,7 @@
|
|||
#include <vector>
|
||||
|
||||
#include "gtest/gtest.h"
|
||||
#include "src/tint/number.h"
|
||||
|
||||
namespace tint::reader::wgsl {
|
||||
namespace {
|
||||
|
|
@ -320,6 +321,8 @@ TEST_P(FloatTest, Parse) {
|
|||
auto t = l.next();
|
||||
if (std::string(params.input).back() == 'f') {
|
||||
EXPECT_TRUE(t.Is(Token::Type::kFloatLiteral_F));
|
||||
} else if (std::string(params.input).back() == 'h') {
|
||||
EXPECT_TRUE(t.Is(Token::Type::kFloatLiteral_H));
|
||||
} else {
|
||||
EXPECT_TRUE(t.Is(Token::Type::kFloatLiteral));
|
||||
}
|
||||
|
|
@ -340,6 +343,11 @@ INSTANTIATE_TEST_SUITE_P(LexerTest,
|
|||
FloatData{"1f", 1.0},
|
||||
FloatData{"-0f", 0.0},
|
||||
FloatData{"-1f", -1.0},
|
||||
// No decimal, with 'h' suffix
|
||||
FloatData{"0h", 0.0},
|
||||
FloatData{"1h", 1.0},
|
||||
FloatData{"-0h", 0.0},
|
||||
FloatData{"-1h", -1.0},
|
||||
|
||||
// Zero, with decimal.
|
||||
FloatData{"0.0", 0.0},
|
||||
|
|
@ -354,7 +362,14 @@ INSTANTIATE_TEST_SUITE_P(LexerTest,
|
|||
FloatData{".0f", 0.0},
|
||||
FloatData{"-0.0f", 0.0},
|
||||
FloatData{"-0.f", 0.0},
|
||||
FloatData{"-.0", 0.0},
|
||||
FloatData{"-.0f", 0.0},
|
||||
// Zero, with decimal and 'h' suffix
|
||||
FloatData{"0.0h", 0.0},
|
||||
FloatData{"0.h", 0.0},
|
||||
FloatData{".0h", 0.0},
|
||||
FloatData{"-0.0h", 0.0},
|
||||
FloatData{"-0.h", 0.0},
|
||||
FloatData{"-.0h", 0.0},
|
||||
|
||||
// Non-zero with decimal
|
||||
FloatData{"5.7", 5.7},
|
||||
|
|
@ -370,6 +385,13 @@ INSTANTIATE_TEST_SUITE_P(LexerTest,
|
|||
FloatData{"-5.7f", static_cast<double>(-5.7f)},
|
||||
FloatData{"-5.f", static_cast<double>(-5.f)},
|
||||
FloatData{"-.7f", static_cast<double>(-.7f)},
|
||||
// Non-zero with decimal and 'h' suffix
|
||||
FloatData{"5.7h", static_cast<double>(f16::Quantize(5.7f))},
|
||||
FloatData{"5.h", static_cast<double>(f16::Quantize(5.f))},
|
||||
FloatData{".7h", static_cast<double>(f16::Quantize(.7f))},
|
||||
FloatData{"-5.7h", static_cast<double>(f16::Quantize(-5.7f))},
|
||||
FloatData{"-5.h", static_cast<double>(f16::Quantize(-5.f))},
|
||||
FloatData{"-.7h", static_cast<double>(f16::Quantize(-.7f))},
|
||||
|
||||
// No decimal, with exponent
|
||||
FloatData{"1e5", 1e5},
|
||||
|
|
@ -381,6 +403,11 @@ INSTANTIATE_TEST_SUITE_P(LexerTest,
|
|||
FloatData{"1E5f", static_cast<double>(1e5f)},
|
||||
FloatData{"1e-5f", static_cast<double>(1e-5f)},
|
||||
FloatData{"1E-5f", static_cast<double>(1e-5f)},
|
||||
// No decimal, with exponent and 'h' suffix
|
||||
FloatData{"6e4h", static_cast<double>(f16::Quantize(6e4f))},
|
||||
FloatData{"6E4h", static_cast<double>(f16::Quantize(6e4f))},
|
||||
FloatData{"1e-5h", static_cast<double>(f16::Quantize(1e-5f))},
|
||||
FloatData{"1E-5h", static_cast<double>(f16::Quantize(1e-5f))},
|
||||
// With decimal and exponents
|
||||
FloatData{"0.2e+12", 0.2e12},
|
||||
FloatData{"1.2e-5", 1.2e-5},
|
||||
|
|
@ -393,9 +420,16 @@ INSTANTIATE_TEST_SUITE_P(LexerTest,
|
|||
FloatData{"2.57e23f", static_cast<double>(2.57e23f)},
|
||||
FloatData{"2.5e+0f", static_cast<double>(2.5f)},
|
||||
FloatData{"2.5e-0f", static_cast<double>(2.5f)},
|
||||
// With decimal and exponents and 'h' suffix
|
||||
FloatData{"0.2e+5h", static_cast<double>(f16::Quantize(0.2e5f))},
|
||||
FloatData{"1.2e-5h", static_cast<double>(f16::Quantize(1.2e-5f))},
|
||||
FloatData{"6.55e4h", static_cast<double>(f16::Quantize(6.55e4f))},
|
||||
FloatData{"2.5e+0h", static_cast<double>(f16::Quantize(2.5f))},
|
||||
FloatData{"2.5e-0h", static_cast<double>(f16::Quantize(2.5f))},
|
||||
// Quantization
|
||||
FloatData{"3.141592653589793", 3.141592653589793}, // no quantization
|
||||
FloatData{"3.141592653589793f", 3.1415927410125732} // f32 quantized
|
||||
FloatData{"3.141592653589793f", 3.1415927410125732}, // f32 quantized
|
||||
FloatData{"3.141592653589793h", 3.140625} // f16 quantized
|
||||
));
|
||||
|
||||
using FloatTest_Invalid = testing::TestWithParam<const char*>;
|
||||
|
|
@ -404,7 +438,8 @@ TEST_P(FloatTest_Invalid, Handles) {
|
|||
Lexer l(&file);
|
||||
|
||||
auto t = l.next();
|
||||
EXPECT_FALSE(t.Is(Token::Type::kFloatLiteral));
|
||||
EXPECT_FALSE(t.Is(Token::Type::kFloatLiteral) || t.Is(Token::Type::kFloatLiteral_F) ||
|
||||
t.Is(Token::Type::kFloatLiteral_H));
|
||||
}
|
||||
INSTANTIATE_TEST_SUITE_P(LexerTest,
|
||||
FloatTest_Invalid,
|
||||
|
|
@ -423,9 +458,8 @@ INSTANTIATE_TEST_SUITE_P(LexerTest,
|
|||
// Overflow
|
||||
"2.5e+256f",
|
||||
"-2.5e+127f",
|
||||
// Magnitude smaller than smallest positive f32.
|
||||
"2.5e-300f",
|
||||
"-2.5e-300f",
|
||||
"6.5520e+4h",
|
||||
"-6.5e+12h",
|
||||
// Decimal exponent must immediately
|
||||
// follow the 'e'.
|
||||
"2.5e 12",
|
||||
|
|
|
|||
|
|
@ -3018,6 +3018,10 @@ Maybe<const ast::LiteralExpression*> ParserImpl::const_literal() {
|
|||
return create<ast::FloatLiteralExpression>(t.source(), t.to_f64(),
|
||||
ast::FloatLiteralExpression::Suffix::kF);
|
||||
}
|
||||
if (match(Token::Type::kFloatLiteral_H)) {
|
||||
return create<ast::FloatLiteralExpression>(t.source(), t.to_f64(),
|
||||
ast::FloatLiteralExpression::Suffix::kH);
|
||||
}
|
||||
if (match(Token::Type::kTrue)) {
|
||||
return create<ast::BoolLiteralExpression>(t.source(), true);
|
||||
}
|
||||
|
|
|
|||
|
|
@ -151,13 +151,18 @@ TEST_P(ParserImplFloatLiteralTest, Parse) {
|
|||
ASSERT_NE(c.value, nullptr);
|
||||
auto* literal = c->As<ast::FloatLiteralExpression>();
|
||||
ASSERT_NE(literal, nullptr);
|
||||
EXPECT_DOUBLE_EQ(literal->value, params.expected)
|
||||
// Use EXPECT_EQ instead of EXPECT_DOUBLE_EQ here, because EXPECT_DOUBLE_EQ use AlmostEquals(),
|
||||
// which allows an error up to 4 ULPs.
|
||||
EXPECT_EQ(literal->value, params.expected)
|
||||
<< "\n"
|
||||
<< "got: " << std::hexfloat << literal->value << "\n"
|
||||
<< "expected: " << std::hexfloat << params.expected;
|
||||
if (params.input.back() == 'f') {
|
||||
EXPECT_EQ(c->As<ast::FloatLiteralExpression>()->suffix,
|
||||
ast::FloatLiteralExpression::Suffix::kF);
|
||||
} else if (params.input.back() == 'h') {
|
||||
EXPECT_EQ(c->As<ast::FloatLiteralExpression>()->suffix,
|
||||
ast::FloatLiteralExpression::Suffix::kH);
|
||||
} else {
|
||||
EXPECT_EQ(c->As<ast::FloatLiteralExpression>()->suffix,
|
||||
ast::FloatLiteralExpression::Suffix::kNone);
|
||||
|
|
@ -181,6 +186,7 @@ INSTANTIATE_TEST_SUITE_P(ParserImplFloatLiteralTest_Float,
|
|||
|
||||
{"234.e12", 234.e12},
|
||||
{"234.e12f", static_cast<double>(234.e12f)},
|
||||
{"234.e2h", static_cast<double>(f16::Quantize(234.e2))},
|
||||
|
||||
// Tiny cases
|
||||
{"1e-5000", 0.0},
|
||||
|
|
@ -189,6 +195,12 @@ INSTANTIATE_TEST_SUITE_P(ParserImplFloatLiteralTest_Float,
|
|||
{"-1e-5000f", 0.0},
|
||||
{"1e-50f", 0.0},
|
||||
{"-1e-50f", 0.0},
|
||||
{"1e-5000h", 0.0},
|
||||
{"-1e-5000h", 0.0},
|
||||
{"1e-50h", 0.0},
|
||||
{"-1e-50h", 0.0},
|
||||
{"1e-8h", 0.0}, // The smallest positive subnormal f16 is 5.96e-8
|
||||
{"-1e-8h", 0.0},
|
||||
|
||||
// Nearly overflow
|
||||
{"1.e308", 1.e308},
|
||||
|
|
@ -209,6 +221,16 @@ INSTANTIATE_TEST_SUITE_P(ParserImplFloatLiteralTest_Float,
|
|||
{"-3.5e37f", static_cast<double>(-3.5e37f)},
|
||||
{"3.403e37f", static_cast<double>(3.403e37f)},
|
||||
{"-3.403e37f", static_cast<double>(-3.403e37f)},
|
||||
|
||||
// Nearly overflow
|
||||
{"6e4h", 6e4},
|
||||
{"-6e4h", -6e4},
|
||||
{"8.0e3h", 8.0e3},
|
||||
{"-8.0e3h", -8.0e3},
|
||||
{"3.5e3h", 3.5e3},
|
||||
{"-3.5e3h", -3.5e3},
|
||||
{"3.403e3h", 3.402e3}, // Quantized
|
||||
{"-3.403e3h", -3.402e3}, // Quantized
|
||||
}));
|
||||
|
||||
const double NegInf = MakeDouble(1, 0x7FF, 0);
|
||||
|
|
@ -229,6 +251,10 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"-0x1p-1", -0x1p-1},
|
||||
{"-0x1p-2", -0x1p-2},
|
||||
{"-0x1.8p-1", -0x1.8p-1},
|
||||
{"0x0.4p+1", 0x0.4p+1},
|
||||
{"0x0.02p+3", 0x0.02p+3},
|
||||
{"0x4.4p+1", 0x4.4p+1},
|
||||
{"0x8c.02p+3", 0x8c.02p+3},
|
||||
|
||||
// Large numbers
|
||||
{"0x1p+9", 0x1p+9},
|
||||
|
|
@ -257,6 +283,11 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"-0x1p-124f", -0x1p-124},
|
||||
{"-0x1p-125f", -0x1p-125},
|
||||
|
||||
{"0x1p-12h", 0x1p-12},
|
||||
{"0x1p-13h", 0x1p-13},
|
||||
{"-0x1p-12h", -0x1p-12},
|
||||
{"-0x1p-13h", -0x1p-13},
|
||||
|
||||
// Lowest non-denorm
|
||||
{"0x1p-1022", 0x1p-1022},
|
||||
{"-0x1p-1022", -0x1p-1022},
|
||||
|
|
@ -264,9 +295,14 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"0x1p-126f", 0x1p-126},
|
||||
{"-0x1p-126f", -0x1p-126},
|
||||
|
||||
{"0x1p-14h", 0x1p-14},
|
||||
{"-0x1p-14h", -0x1p-14},
|
||||
|
||||
// Denormalized values
|
||||
{"0x1p-1023", 0x1p-1023},
|
||||
{"0x0.8p-1022", 0x0.8p-1022},
|
||||
{"0x1p-1024", 0x1p-1024},
|
||||
{"0x0.2p-1021", 0x0.2p-1021},
|
||||
{"0x1p-1025", 0x1p-1025},
|
||||
{"0x1p-1026", 0x1p-1026},
|
||||
{"-0x1p-1023", -0x1p-1023},
|
||||
|
|
@ -277,7 +313,9 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"0x1.8p-1024", 0x1.8p-1024},
|
||||
|
||||
{"0x1p-127f", 0x1p-127},
|
||||
{"0x0.8p-126f", 0x0.8p-126},
|
||||
{"0x1p-128f", 0x1p-128},
|
||||
{"0x0.2p-125f", 0x0.2p-125},
|
||||
{"0x1p-129f", 0x1p-129},
|
||||
{"0x1p-130f", 0x1p-130},
|
||||
{"-0x1p-127f", -0x1p-127},
|
||||
|
|
@ -287,13 +325,28 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"0x1.8p-127f", 0x1.8p-127},
|
||||
{"0x1.8p-128f", 0x1.8p-128},
|
||||
|
||||
{"0x1p-15h", 0x1p-15},
|
||||
{"0x0.8p-14h", 0x0.8p-14},
|
||||
{"0x1p-16h", 0x1p-16},
|
||||
{"0x0.2p-13h", 0x0.2p-13},
|
||||
{"0x1p-17h", 0x1p-17},
|
||||
{"0x1p-18h", 0x1p-18},
|
||||
{"-0x1p-15h", -0x1p-15},
|
||||
{"-0x1p-16h", -0x1p-16},
|
||||
{"-0x1p-17h", -0x1p-17},
|
||||
{"-0x1p-18h", -0x1p-18},
|
||||
{"0x1.8p-15h", 0x1.8p-15},
|
||||
{"0x1.8p-16h", 0x1.8p-16},
|
||||
|
||||
// F64 extremities
|
||||
{"0x1p-1074", 0x1p-1074}, // +SmallestDenormal
|
||||
{"0x1p-1073", 0x1p-1073}, // +BiggerDenormal
|
||||
{"0x1.ffffffffffffp-1027", 0x1.ffffffffffffp-1027}, // +LargestDenormal
|
||||
{"0x1.ffffffffffffep-1023", 0x1.ffffffffffffep-1023}, // +LargestDenormal
|
||||
{"0x0.fffffffffffffp-1022", 0x0.fffffffffffffp-1022}, // +LargestDenormal
|
||||
{"-0x1p-1074", -0x1p-1074}, // -SmallestDenormal
|
||||
{"-0x1p-1073", -0x1p-1073}, // -BiggerDenormal
|
||||
{"-0x1.ffffffffffffp-1027", -0x1.ffffffffffffp-1027}, // -LargestDenormal
|
||||
{"-0x1.ffffffffffffep-1023", -0x1.ffffffffffffep-1023}, // -LargestDenormal
|
||||
{"-0x0.fffffffffffffp-1022", -0x0.fffffffffffffp-1022}, // -LargestDenormal
|
||||
|
||||
{"0x0.cafebeeff000dp-1022", 0x0.cafebeeff000dp-1022}, // +Subnormal
|
||||
{"-0x0.cafebeeff000dp-1022", -0x0.cafebeeff000dp-1022}, // -Subnormal
|
||||
|
|
@ -301,21 +354,29 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"-0x1.2bfaf8p-1052", -0x1.2bfaf8p-1052}, // +Subnormal
|
||||
{"0x1.55554p-1055", 0x1.55554p-1055}, // +Subnormal
|
||||
{"-0x1.55554p-1055", -0x1.55554p-1055}, // -Subnormal
|
||||
{"0x1.fffffffffffp-1027", 0x1.fffffffffffp-1027}, // +Subnormal, = 0x0.0fffffffffff8p-1022
|
||||
{"-0x1.fffffffffffp-1027", -0x1.fffffffffffp-1027}, // -Subnormal
|
||||
|
||||
// F32 extremities
|
||||
{"0x1p-149", 0x1p-149}, // +SmallestDenormal
|
||||
{"0x1p-148", 0x1p-148}, // +BiggerDenormal
|
||||
{"0x1.fffffcp-127", 0x1.fffffcp-127}, // +LargestDenormal
|
||||
{"-0x1p-149", -0x1p-149}, // -SmallestDenormal
|
||||
{"-0x1p-148", -0x1p-148}, // -BiggerDenormal
|
||||
{"-0x1.fffffcp-127", -0x1.fffffcp-127}, // -LargestDenormal
|
||||
{"0x1p-149f", 0x1p-149}, // +SmallestDenormal
|
||||
{"0x1p-148f", 0x1p-148}, // +BiggerDenormal
|
||||
{"0x1.fffffcp-127f", 0x1.fffffcp-127}, // +LargestDenormal
|
||||
{"0x0.fffffep-126f", 0x0.fffffep-126}, // +LargestDenormal
|
||||
{"0x1.0p-126f", 0x1.0p-126}, // +SmallestNormal
|
||||
{"0x8.0p-129f", 0x8.0p-129}, // +SmallestNormal
|
||||
{"-0x1p-149f", -0x1p-149}, // -SmallestDenormal
|
||||
{"-0x1p-148f", -0x1p-148}, // -BiggerDenormal
|
||||
{"-0x1.fffffcp-127f", -0x1.fffffcp-127}, // -LargestDenormal
|
||||
{"-0x0.fffffep-126f", -0x0.fffffep-126}, // -LargestDenormal
|
||||
{"-0x1.0p-126f", -0x1.0p-126}, // -SmallestNormal
|
||||
{"-0x8.0p-129f", -0x8.0p-129}, // -SmallestNormal
|
||||
|
||||
{"0x0.cafebp-129", 0x0.cafebp-129}, // +Subnormal
|
||||
{"-0x0.cafebp-129", -0x0.cafebp-129}, // -Subnormal
|
||||
{"0x1.2bfaf8p-127", 0x1.2bfaf8p-127}, // +Subnormal
|
||||
{"-0x1.2bfaf8p-127", -0x1.2bfaf8p-127}, // -Subnormal
|
||||
{"0x1.55554p-130", 0x1.55554p-130}, // +Subnormal
|
||||
{"-0x1.55554p-130", -0x1.55554p-130}, // -Subnormal
|
||||
{"0x0.cafebp-129f", 0x0.cafebp-129}, // +Subnormal
|
||||
{"-0x0.cafebp-129f", -0x0.cafebp-129}, // -Subnormal
|
||||
{"0x1.2bfaf8p-127f", 0x1.2bfaf8p-127}, // +Subnormal
|
||||
{"-0x1.2bfaf8p-127f", -0x1.2bfaf8p-127}, // -Subnormal
|
||||
{"0x1.55554p-130f", 0x1.55554p-130}, // +Subnormal
|
||||
{"-0x1.55554p-130f", -0x1.55554p-130}, // -Subnormal
|
||||
|
||||
// F32 exactly representable
|
||||
{"0x1.000002p+0f", 0x1.000002p+0},
|
||||
|
|
@ -324,10 +385,47 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"0x8.00003p+0f", 0x8.00003p+0},
|
||||
{"0x2.123p+0f", 0x2.123p+0},
|
||||
{"0x2.cafefp+0f", 0x2.cafefp+0},
|
||||
{"0x0.0000fep-126f", 0x0.0000fep-126}, // Subnormal
|
||||
{"-0x0.0000fep-126f", -0x0.0000fep-126}, // Subnormal
|
||||
{"0x3.f8p-144f", 0x3.f8p-144}, // Subnormal
|
||||
{"-0x3.f8p-144f", -0x3.f8p-144}, // Subnormal
|
||||
|
||||
// F16 extremities
|
||||
{"0x1p-24h", 0x1p-24}, // +SmallestDenormal
|
||||
{"0x1p-23h", 0x1p-23}, // +BiggerDenormal
|
||||
{"0x1.ff8p-15h", 0x1.ff8p-15}, // +LargestDenormal
|
||||
{"0x0.ffcp-14h", 0x0.ffcp-14}, // +LargestDenormal
|
||||
{"0x1.0p-14h", 0x1.0p-14}, // +SmallestNormal
|
||||
{"0x8.0p-17h", 0x8.0p-17}, // +SmallestNormal
|
||||
{"-0x1p-24h", -0x1p-24}, // -SmallestDenormal
|
||||
{"-0x1p-23h", -0x1p-23}, // -BiggerDenormal
|
||||
{"-0x1.ff8p-15h", -0x1.ff8p-15}, // -LargestDenormal
|
||||
{"-0x0.ffcp-14h", -0x0.ffcp-14}, // -LargestDenormal
|
||||
{"-0x1.0p-14h", -0x1.0p-14}, // -SmallestNormal
|
||||
{"-0x8.0p-17h", -0x8.0p-17}, // -SmallestNormal
|
||||
|
||||
{"0x0.a8p-19h", 0x0.a8p-19}, // +Subnormal
|
||||
{"-0x0.a8p-19h", -0x0.a8p-19}, // -Subnormal
|
||||
{"0x1.7ap-17h", 0x1.7ap-17}, // +Subnormal
|
||||
{"-0x1.7ap-17h", -0x1.7ap-17}, // -Subnormal
|
||||
{"0x1.dp-20h", 0x1.dp-20}, // +Subnormal
|
||||
{"-0x1.dp-20h", -0x1.dp-20}, // -Subnormal
|
||||
|
||||
// F16 exactly representable
|
||||
{"0x1.004p+0h", 0x1.004p+0},
|
||||
{"0x8.02p+0h", 0x8.02p+0},
|
||||
{"0x8.fep+0h", 0x8.fep+0},
|
||||
{"0x8.06p+0h", 0x8.06p+0},
|
||||
{"0x2.128p+0h", 0x2.128p+0},
|
||||
{"0x2.ca8p+0h", 0x2.ca8p+0},
|
||||
{"0x0.0fcp-14h", 0x0.0fcp-14}, // Subnormal
|
||||
{"-0x0.0fcp-14h", -0x0.0fcp-14}, // Subnormal
|
||||
{"0x3.f00p-20h", 0x3.f00p-20}, // Subnormal
|
||||
{"-0x3.f00p-20h", -0x3.f00p-20}, // Subnormal
|
||||
|
||||
// Underflow -> Zero
|
||||
{"0x1p-1074", 0.0}, // Exponent underflows
|
||||
{"-0x1p-1074", 0.0},
|
||||
{"0x1p-1075", 0.0}, // Exponent underflows
|
||||
{"-0x1p-1075", 0.0},
|
||||
{"0x1p-5000", 0.0},
|
||||
{"-0x1p-5000", 0.0},
|
||||
{"0x0.00000000000000000000001p-1022", 0.0}, // Fraction causes underflow
|
||||
|
|
@ -399,6 +497,16 @@ FloatLiteralTestCaseList HexFloatCases() {
|
|||
{"-0x.8p2f", -2.0},
|
||||
{"-0x1.8p-1f", -0.75},
|
||||
{"-0x2p-2f", -0.5}, // No binary point
|
||||
|
||||
// Examples with a binary exponent and a 'h' suffix.
|
||||
{"0x1.p0h", 1.0},
|
||||
{"0x.8p2h", 2.0},
|
||||
{"0x1.8p-1h", 0.75},
|
||||
{"0x2p-2h", 0.5}, // No binary point
|
||||
{"-0x1.p0h", -1.0},
|
||||
{"-0x.8p2h", -2.0},
|
||||
{"-0x1.8p-1h", -0.75},
|
||||
{"-0x2p-2h", -0.5}, // No binary point
|
||||
};
|
||||
}
|
||||
INSTANTIATE_TEST_SUITE_P(ParserImplFloatLiteralTest_HexFloat,
|
||||
|
|
@ -541,6 +649,23 @@ INSTANTIATE_TEST_SUITE_P(
|
|||
"-0x1.fffffep+128f",
|
||||
})));
|
||||
|
||||
INSTANTIATE_TEST_SUITE_P(
|
||||
HexNaNF16,
|
||||
ParserImplInvalidLiteralTest,
|
||||
testing::Combine(testing::Values("1:1: value cannot be represented as 'f16'"),
|
||||
testing::ValuesIn(std::vector<const char*>{
|
||||
"0x1.8p+16h",
|
||||
"0x1.004p+16h",
|
||||
"0x1.018p+16h",
|
||||
"0x1.1ep+16h",
|
||||
"0x1.ffcp+16h",
|
||||
"-0x1.8p+16h",
|
||||
"-0x1.004p+16h",
|
||||
"-0x1.018p+16h",
|
||||
"-0x1.1ep+16h",
|
||||
"-0x1.ffcp+16h",
|
||||
})));
|
||||
|
||||
INSTANTIATE_TEST_SUITE_P(
|
||||
HexOverflowAFloat,
|
||||
ParserImplInvalidLiteralTest,
|
||||
|
|
@ -577,15 +702,92 @@ INSTANTIATE_TEST_SUITE_P(
|
|||
"-0x32p+500f",
|
||||
})));
|
||||
|
||||
INSTANTIATE_TEST_SUITE_P(
|
||||
HexOverflowF16,
|
||||
ParserImplInvalidLiteralTest,
|
||||
testing::Combine(testing::Values("1:1: value cannot be represented as 'f16'"),
|
||||
testing::ValuesIn(std::vector<const char*>{
|
||||
"0x1p+16h",
|
||||
"-0x1p+16h",
|
||||
"0x1.1p+16h",
|
||||
"-0x1.1p+16h",
|
||||
"0x1p+17h",
|
||||
"-0x1p+17h",
|
||||
"0x32p+15h",
|
||||
"-0x32p+15h",
|
||||
"0x32p+500h",
|
||||
"-0x32p+500h",
|
||||
})));
|
||||
|
||||
INSTANTIATE_TEST_SUITE_P(
|
||||
HexNotExactlyRepresentableF32,
|
||||
ParserImplInvalidLiteralTest,
|
||||
testing::Combine(testing::Values("1:1: value cannot be exactly represented as 'f32'"),
|
||||
testing::ValuesIn(std::vector<const char*>{
|
||||
"0x1.000001p+0f", // Quantizes to 0x1.0p+0
|
||||
"0x1.0000008p+0f", // Quantizes to 0x1.0p+0
|
||||
"0x1.0000000000001p+0f", // Quantizes to 0x1.0p+0
|
||||
"0x8.0000f8p+0f", // Quantizes to 0x8.0000fp+0
|
||||
"0x8.000038p+0f", // Quantizes to 0x8.00003p+0
|
||||
"0x2.cafef00dp+0f", // Quantizes to 0x2.cafefp+0
|
||||
"0x0.0000ffp-126f", // Subnormal, quantizes to 0x0.0000fep-126
|
||||
"0x3.fcp-144f", // Subnormal, quantizes to 0x3.f8p-144
|
||||
"-0x0.0000ffp-126f", // Subnormal, quantizes to -0x0.0000fep-126
|
||||
"-0x3.fcp-144f", // Subnormal, quantizes to -0x3.f8p-144
|
||||
"0x0.ffffffp-126f", // Subnormal, quantizes to 0x0.fffffep-144
|
||||
"0x0.fffffe0000001p-126f", // Subnormal, quantizes to 0x0.fffffep-144
|
||||
"-0x0.ffffffp-126f", // Subnormal, quantizes to -0x0.fffffep-144
|
||||
"-0x0.fffffe0000001p-126f", // Subnormal, quantizes to -0x0.fffffep-144
|
||||
"0x1.8p-149f", // Subnormal, quantizes to 0x1.0p-149f
|
||||
"0x1.4p-149f", // Subnormal, quantizes to 0x1.0p-149f
|
||||
"0x1.000002p-149f", // Subnormal, quantizes to 0x1.0p-149f
|
||||
"0x1.0000000000001p-149f", // Subnormal, quantizes to 0x1.0p-149f
|
||||
"-0x1.8p-149f", // Subnormal, quantizes to -0x1.0p-149f
|
||||
"-0x1.4p-149f", // Subnormal, quantizes to -0x1.0p-149f
|
||||
"-0x1.000002p-149f", // Subnormal, quantizes to -0x1.0p-149f
|
||||
"-0x1.0000000000001p-149f", // Subnormal, quantizes to -0x1.0p-149f
|
||||
"0x1.0p-150f", // Smaller than the smallest subnormal, quantizes to 0.0
|
||||
"0x1.8p-150f", // Smaller than the smallest subnormal, quantizes to 0.0
|
||||
"-0x1.0p-150f", // Smaller than the smallest subnormal, quantizes to -0.0
|
||||
"-0x1.8p-150f", // Smaller than the smallest subnormal, quantizes to -0.0
|
||||
})));
|
||||
|
||||
INSTANTIATE_TEST_SUITE_P(
|
||||
HexNotExactlyRepresentableF16,
|
||||
ParserImplInvalidLiteralTest,
|
||||
testing::Combine(
|
||||
testing::Values("1:1: value cannot be exactly represented as 'f16'"),
|
||||
testing::ValuesIn(std::vector<const char*>{
|
||||
"0x1.002p+0h", // Quantizes to 0x1.0p+0, has 11 mantissa bits rather than 10
|
||||
"0x1.001p+0h", // Quantizes to 0x1.0p+0, has 12 mantissa bits rather than 10
|
||||
"0x1.0000000000001p+0h", // Quantizes to 0x1.0p+0, has 52 mantissa bits rather than 10
|
||||
"0x8.0fp+0h", // Quantizes to 0x8.0ep+0
|
||||
"0x8.31p+0h", // Quantizes to 0x8.30p+0
|
||||
"0x2.ca80dp+0h", // Quantizes to 0x2.ca8p+0
|
||||
"0x4.ba8p+0h", // Quantizes to 0x4.bap+0
|
||||
"0x4.011p+0h", // Quantizes to 0x4.01p+0
|
||||
"0x0.0fep-14h", // Subnormal, quantizes to 0x0.0fcp-14
|
||||
"0x3.f8p-20h", // Subnormal, quantizes to 0x3.f0p-20
|
||||
"-0x0.0fep-14h", // Subnormal, quantizes to -0x0.0fcp-14
|
||||
"-0x3.f8p-20h", // Subnormal, quantizes to -0x3.f0p-20
|
||||
"0x0.ffep-14h", // Subnormal, quantizes to 0x0.ffcp-14
|
||||
"0x0.ffe0000000001p-14h", // Subnormal, quantizes to 0x0.ffcp-14
|
||||
"0x0.fffffffffffffp-14h", // Subnormal, quantizes to 0x0.ffcp-14
|
||||
"-0x0.ffep-14h", // Subnormal, quantizes to -0x0.ffcp-14
|
||||
"-0x0.ffe0000000001p-14h", // Subnormal, quantizes to -0x0.ffcp-14
|
||||
"-0x0.fffffffffffffp-14h", // Subnormal, quantizes to -0x0.ffcp-14
|
||||
"0x1.8p-24h", // Subnormal, quantizes to 0x1.0p-24f
|
||||
"0x1.4p-24h", // Subnormal, quantizes to 0x1.0p-24f
|
||||
"0x1.004p-24h", // Subnormal, quantizes to 0x1.0p-24f
|
||||
"0x1.0000000000001p-24h", // Subnormal, quantizes to 0x1.0p-24f
|
||||
"-0x1.8p-24h", // Subnormal, quantizes to -0x1.0p-24f
|
||||
"-0x1.4p-24h", // Subnormal, quantizes to -0x1.0p-24f
|
||||
"-0x1.004p-24h", // Subnormal, quantizes to -0x1.0p-24f
|
||||
"-0x1.0000000000001p-24h", // Subnormal, quantizes to -0x1.0p-24f
|
||||
"0x1.0p-25h", // Smaller than the smallest subnormal, quantizes to 0.0
|
||||
"0x1.8p-25h", // Smaller than the smallest subnormal, quantizes to 0.0
|
||||
"-0x1.0p-25h", // Smaller than the smallest subnormal, quantizes to -0.0
|
||||
"-0x1.8p-25h", // Smaller than the smallest subnormal, quantizes to -0.0
|
||||
})));
|
||||
|
||||
INSTANTIATE_TEST_SUITE_P(
|
||||
|
|
@ -622,6 +824,25 @@ INSTANTIATE_TEST_SUITE_P(
|
|||
"-1.2e+256f",
|
||||
})));
|
||||
|
||||
INSTANTIATE_TEST_SUITE_P(
|
||||
DecOverflowF16,
|
||||
ParserImplInvalidLiteralTest,
|
||||
testing::Combine(testing::Values("1:1: value cannot be represented as 'f16'"),
|
||||
testing::ValuesIn(std::vector<const char*>{
|
||||
"1.0e5h",
|
||||
"-1.0e5h",
|
||||
"7.0e4h",
|
||||
"-7.0e4h",
|
||||
"6.6e4h",
|
||||
"-6.6e4h",
|
||||
"6.56e4h",
|
||||
"-6.56e4h",
|
||||
"6.554e4h",
|
||||
"-6.554e4h",
|
||||
"1.2e+32h",
|
||||
"-1.2e+32h",
|
||||
})));
|
||||
|
||||
TEST_F(ParserImplTest, ConstLiteral_FloatHighest) {
|
||||
const auto highest = std::numeric_limits<float>::max();
|
||||
const auto expected_highest = 340282346638528859811704183484516925440.0f;
|
||||
|
|
@ -636,8 +857,7 @@ TEST_F(ParserImplTest, ConstLiteral_FloatHighest) {
|
|||
EXPECT_FALSE(p->has_error()) << p->error();
|
||||
ASSERT_NE(c.value, nullptr);
|
||||
ASSERT_TRUE(c->Is<ast::FloatLiteralExpression>());
|
||||
EXPECT_DOUBLE_EQ(c->As<ast::FloatLiteralExpression>()->value,
|
||||
std::numeric_limits<float>::max());
|
||||
EXPECT_EQ(c->As<ast::FloatLiteralExpression>()->value, std::numeric_limits<float>::max());
|
||||
EXPECT_EQ(c->As<ast::FloatLiteralExpression>()->suffix,
|
||||
ast::FloatLiteralExpression::Suffix::kNone);
|
||||
EXPECT_EQ(c->source.range, (Source::Range{{1u, 1u}, {1u, 42u}}));
|
||||
|
|
@ -660,8 +880,7 @@ TEST_F(ParserImplTest, ConstLiteral_FloatLowest) {
|
|||
EXPECT_FALSE(p->has_error()) << p->error();
|
||||
ASSERT_NE(c.value, nullptr);
|
||||
ASSERT_TRUE(c->Is<ast::FloatLiteralExpression>());
|
||||
EXPECT_DOUBLE_EQ(c->As<ast::FloatLiteralExpression>()->value,
|
||||
std::numeric_limits<float>::lowest());
|
||||
EXPECT_EQ(c->As<ast::FloatLiteralExpression>()->value, std::numeric_limits<float>::lowest());
|
||||
EXPECT_EQ(c->As<ast::FloatLiteralExpression>()->suffix,
|
||||
ast::FloatLiteralExpression::Suffix::kNone);
|
||||
EXPECT_EQ(c->source.range, (Source::Range{{1u, 1u}, {1u, 43u}}));
|
||||
|
|
|
|||
|
|
@ -29,6 +29,8 @@ std::string_view Token::TypeToName(Type type) {
|
|||
return "abstract float literal";
|
||||
case Token::Type::kFloatLiteral_F:
|
||||
return "'f'-suffixed float literal";
|
||||
case Token::Type::kFloatLiteral_H:
|
||||
return "'h'-suffixed float literal";
|
||||
case Token::Type::kIntLiteral:
|
||||
return "abstract integer literal";
|
||||
case Token::Type::kIntLiteral_I:
|
||||
|
|
@ -311,6 +313,8 @@ std::string Token::to_str() const {
|
|||
return std::to_string(std::get<double>(value_));
|
||||
case Type::kFloatLiteral_F:
|
||||
return std::to_string(std::get<double>(value_)) + "f";
|
||||
case Type::kFloatLiteral_H:
|
||||
return std::to_string(std::get<double>(value_)) + "h";
|
||||
case Type::kIntLiteral:
|
||||
return std::to_string(std::get<int64_t>(value_));
|
||||
case Type::kIntLiteral_I:
|
||||
|
|
|
|||
|
|
@ -42,6 +42,8 @@ class Token {
|
|||
kFloatLiteral,
|
||||
/// A float literal with an 'f' suffix
|
||||
kFloatLiteral_F,
|
||||
/// A float literal with an 'h' suffix
|
||||
kFloatLiteral_H,
|
||||
/// An integer literal with no suffix
|
||||
kIntLiteral,
|
||||
/// An integer literal with an 'i' suffix
|
||||
|
|
|
|||
|
|
@ -1658,10 +1658,15 @@ sem::Expression* Resolver::Literal(const ast::LiteralExpression* literal) {
|
|||
return nullptr;
|
||||
},
|
||||
[&](const ast::FloatLiteralExpression* f) -> sem::Type* {
|
||||
if (f->suffix == ast::FloatLiteralExpression::Suffix::kNone) {
|
||||
switch (f->suffix) {
|
||||
case ast::FloatLiteralExpression::Suffix::kNone:
|
||||
return builder_->create<sem::AbstractFloat>();
|
||||
}
|
||||
case ast::FloatLiteralExpression::Suffix::kF:
|
||||
return builder_->create<sem::F32>();
|
||||
case ast::FloatLiteralExpression::Suffix::kH:
|
||||
return builder_->create<sem::F16>();
|
||||
}
|
||||
return nullptr;
|
||||
},
|
||||
[&](const ast::BoolLiteralExpression*) { return builder_->create<sem::Bool>(); },
|
||||
[&](Default) { return nullptr; });
|
||||
|
|
@ -1672,6 +1677,11 @@ sem::Expression* Resolver::Literal(const ast::LiteralExpression* literal) {
|
|||
return nullptr;
|
||||
}
|
||||
|
||||
if ((ty->Is<sem::F16>()) && (!enabled_extensions_.contains(tint::ast::Extension::kF16))) {
|
||||
AddError("f16 literal used without 'f16' extension enabled", literal->source);
|
||||
return nullptr;
|
||||
}
|
||||
|
||||
auto val = EvaluateConstantValue(literal, ty);
|
||||
if (!val) {
|
||||
return nullptr;
|
||||
|
|
|
|||
|
|
@ -2134,5 +2134,22 @@ TEST_F(ResolverTest, MaxExpressionDepth_Fail) {
|
|||
std::to_string(kMaxExpressionDepth)));
|
||||
}
|
||||
|
||||
TEST_F(ResolverTest, Literal_F16WithoutExtension) {
|
||||
// fn test() {_ = 1.23h;}
|
||||
WrapInFunction(Ignore(Expr(f16(1.23f))));
|
||||
|
||||
EXPECT_FALSE(r()->Resolve());
|
||||
EXPECT_THAT(r()->error(), HasSubstr("error: f16 literal used without 'f16' extension enabled"));
|
||||
}
|
||||
|
||||
TEST_F(ResolverTest, Literal_F16WithExtension) {
|
||||
// enable f16;
|
||||
// fn test() {_ = 1.23h;}
|
||||
Enable(ast::Extension::kF16);
|
||||
WrapInFunction(Ignore(Expr(f16(1.23f))));
|
||||
|
||||
EXPECT_TRUE(r()->Resolve());
|
||||
}
|
||||
|
||||
} // namespace
|
||||
} // namespace tint::resolver
|
||||
|
|
|
|||
Loading…
Reference in New Issue