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316
csrc_musa/quantization/fp8/amd_detail/hip_float8_impl.h
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316
csrc_musa/quantization/fp8/amd_detail/hip_float8_impl.h
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#pragma once
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#if defined(__HIPCC__) && (defined(__gfx940__) || defined(__gfx941__) || defined(__gfx942__))
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#define __HIP__MI300__
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#endif
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#ifdef __HIPCC__
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#define HIP_FP8_HOST_DEVICE __host__ __device__
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#define HIP_FP8_HOST __host__
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#define HIP_FP8_DEVICE __device__
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#else
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#define HIP_FP8_HOST_DEVICE
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#define HIP_FP8_HOST
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#define HIP_FP8_DEVICE
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#endif
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namespace hip_fp8_impl
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{
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#ifdef __HIP__MI300__
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HIP_FP8_DEVICE uint8_t to_fp8_from_fp32(float v)
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{
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uint8_t i8data;
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union {
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float fval;
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uint32_t i32val;
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uint8_t i8val[4]; // NOTE: not endian independent
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} val;
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uint32_t ival = 0;
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val.fval = v;
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if ((val.i32val & 0x7F800000) != 0x7F800000) { /// propagate NAN/INF, no clipping
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val.fval = __builtin_amdgcn_fmed3f(val.fval, 240.0, -240.0);
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}
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ival = __builtin_amdgcn_cvt_pk_fp8_f32(val.fval, val.fval, ival,
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false); // false -> WORD0
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val.i32val = ival;
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i8data = val.i8val[0];
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return i8data;
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}
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#endif // __HIP__MI300__
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HIP_FP8_HOST inline int clz(uint32_t x)
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{
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return __builtin_clz(x);
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}
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#if defined(__HIPCC__) || defined(__MUSA_ARCH__)
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HIP_FP8_DEVICE inline int clz(uint32_t x)
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{
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return __clz(x);
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}
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#endif
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template <int we, int wm, typename T, bool negative_zero_nan, bool clip>
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HIP_FP8_HOST_DEVICE uint8_t to_float8(T _x, bool stoch = false, uint32_t rng = 0)
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{
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#ifdef __HIPCC__
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constexpr bool is_half = std::is_same<T, _Float16>::value;
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#else
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constexpr bool is_half = false;
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#endif
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constexpr bool is_float = std::is_same<T, float>::value;
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static_assert(wm + we == 7, "wm+we==7");
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static_assert(is_half || is_float, "Only half and float can be cast to f8");
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const int mfmt = (sizeof(T) == 4) ? 23 : 10;
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uint32_t x;
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if (sizeof(T) == 4) {
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x = reinterpret_cast<uint32_t&>(_x);
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} else {
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x = reinterpret_cast<uint16_t&>(_x);
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}
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uint32_t head, mantissa;
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int exponent, bias;
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uint32_t sign;
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if (sizeof(T) == 4) {
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head = x & 0xFF800000;
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mantissa = x & 0x7FFFFF;
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exponent = (head >> 23) & 0xFF;
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sign = head >> 31;
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bias = 127;
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} else {
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head = x & 0xFC00;
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mantissa = x & 0x3FF;
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exponent = (head >> 10) & 0x1F;
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sign = head >> 15;
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bias = 15;
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}
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uint32_t signed_inf = (sign << 7) + (((1 << we) - 1) << wm);
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// Deal with inf and NaNs
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if (negative_zero_nan) {
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if (sizeof(T) == 4) {
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if ((x & 0x7F800000) == 0x7F800000) {
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return 0x80;
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}
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} else {
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// if(__hisinf(x) || __hisnan(x))
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if ((x & 0x7C00) == 0x7C00) {
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return 0x80;
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}
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}
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} else {
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if (sizeof(T) == 4) {
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if ((x & 0x7F800000) == 0x7F800000) {
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return signed_inf + (mantissa != 0 ? 1 : 0);
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}
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} else {
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if ((x & 0x7C00) == 0x7C00) {
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return signed_inf + (mantissa != 0 ? 1 : 0);
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}
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}
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}
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if (x == 0) {
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return 0;
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}
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// First need to check if it is normal or denorm as there is a difference of
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// implicit 1 Then need to adjust the exponent to align with the F8 exponent,
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// in the meanwhile, shift The mantissa. Then for stochastic rounding, add rng
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// to mantissa and truncate. And for RNE, no need to add rng. Then probably
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// need to check whether there is carry and adjust exponent and mantissa again
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// For IEEE bias mode, the bias is 2^(k-1) -1 where k is the width of exponent
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// bits
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const int f8_bias = (1 << (we - 1)) - 1 + (negative_zero_nan ? 1 : 0);
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const int f8_denormal_act_exponent = 1 - f8_bias; // actual exponent of f8 denormal
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// act_exponent is the actual exponent of fp32/fp16 (after subtracting bias)
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// f8_exponent is the converted f8 exponent with bias encoding
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// exponent_diff is the diff between fp32/fp16 exponent and f8 exponent,
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// the difference needs to be adjusted and mantissa shifted
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int act_exponent, f8_exponent, exponent_diff;
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if (exponent == 0) { // fp32/fp16 is in denormal.
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/* fp32 denormal is below 2^-127 so it is usually not a concern here, we
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mostly concern fp16 here. In this case, f8 is usually in denormal. But there
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could be exceptions. fp16 denormal has exponent bias 15 while bf8 with NANOO has
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exponent bias 16. It means that there are some numbers in fp16 denormal but they
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are bf8 (NANOO) normals - smallest bf8 (NANOO) normal is 2^-15. fp16 numbers
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where exponent==0 (actual exponent -14) and highest bit of mantissa is 1 are bf8
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(NANOO) normal. In this case, the fp16 mantissa should be shift left by 1 */
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act_exponent = exponent - bias + 1;
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exponent_diff = f8_denormal_act_exponent - act_exponent; // actual exponent is exponent-bias+1 as it is denormal
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} else { // fp32/fp16 is normal with implicit 1
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act_exponent = exponent - bias;
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if (act_exponent <= f8_denormal_act_exponent) {
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/* This is the case where fp32/fp16 is normal but it is in f8 denormal
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range. For example fp8 nanoo mode, denormal exponent is -7, but if the
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fp32/fp16 actual exponent is -7, it is actually larger due to the implicit 1,
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Therefore it needs to be adjust to -6 and mantissa shift right by 1.
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So for fp32/fp16, exponent -8 is the cut point to convert to fp8 nanoo */
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exponent_diff = f8_denormal_act_exponent - act_exponent;
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} else { // both fp32/fp16 and f8 are in normal range
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exponent_diff = 0; // exponent_diff=0 does not mean there is no difference
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// for this case,
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// act_exponent could be larger. Just that it does not need shift mantissa
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}
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mantissa += (1 << mfmt); // Add the implicit 1 into mantissa
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}
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bool midpoint = (mantissa & ((1 << (mfmt - wm + exponent_diff)) - 1)) ==
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static_cast<uint32_t>(1 << (mfmt - wm + exponent_diff - 1));
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/* This part is a bit tricky. The judgment of whether it is a tie needs to be
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done before we shift right as shift right could rip off some residual part
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and make something not midpoint look like midpoint. For example, the fp16
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number 0x1002 (0 00100 0000000010), it is larger than midpoint, but after
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shift right by 4 bits, it would look like midpoint.
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*/
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if (exponent_diff > 0) {
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mantissa >>= exponent_diff;
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} else if (exponent_diff == -1) {
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mantissa <<= -exponent_diff;
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}
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bool implicit_one = mantissa & (1 << mfmt);
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// if there is no implicit 1, it means the f8 is denormal and need to adjust
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// to denorm exponent
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f8_exponent = (act_exponent + exponent_diff) /*actual f8 exponent*/ + f8_bias - (implicit_one ? 0 : 1);
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// Now we have the exponent and mantissa adjusted
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uint32_t drop_mask = (1 << (mfmt - wm)) - 1;
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bool odd = mantissa & (1 << (mfmt - wm)); // if the least significant bit that
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// is not truncated is 1
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mantissa += (stoch ? rng : (midpoint ? (odd ? mantissa : mantissa - 1) : mantissa)) & drop_mask;
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// Now we deal with overflow
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if (f8_exponent == 0) {
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if ((1 << mfmt) & mantissa) {
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f8_exponent = 1; // denormal overflow to become normal, promote exponent
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}
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} else {
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if ((1 << (mfmt + 1)) & mantissa) {
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mantissa >>= 1;
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f8_exponent++;
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}
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}
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mantissa >>= (mfmt - wm);
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// above range: quantize to maximum possible float of the same sign
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const int max_exp = (1 << we) - (negative_zero_nan ? 1 : 2);
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if (f8_exponent > max_exp) {
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if (clip) {
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mantissa = (1 << wm) - 1;
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f8_exponent = max_exp;
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} else {
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return signed_inf;
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}
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}
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if (f8_exponent == 0 && mantissa == 0) {
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return negative_zero_nan ? 0 : (sign << 7);
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}
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mantissa &= (1 << wm) - 1;
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return (sign << 7) | (f8_exponent << wm) | mantissa;
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}
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template <int we, int wm, typename T = float, bool negative_zero_nan = true>
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inline HIP_FP8_HOST_DEVICE T from_float8(uint8_t x)
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{
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#ifdef __HIPCC__
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constexpr bool is_half = std::is_same<T, _Float16>::value;
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#else
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constexpr bool is_half = false;
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#endif
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constexpr bool is_float = std::is_same<T, float>::value;
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static_assert(is_half || is_float, "only half and float are supported");
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constexpr int weo = is_half ? 5 : 8;
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constexpr int wmo = is_half ? 10 : (is_float ? 23 : 7);
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T fInf, fNegInf, fNaN, fNeg0;
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#ifdef __HIPCC__
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if (is_half) {
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const uint16_t ihInf = 0x7C00;
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const uint16_t ihNegInf = 0xFC00;
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const uint16_t ihNaN = 0x7C01;
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const uint16_t ihNeg0 = 0x8000;
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fInf = reinterpret_cast<const _Float16&>(ihInf);
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fNegInf = reinterpret_cast<const _Float16&>(ihNegInf);
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fNaN = reinterpret_cast<const _Float16&>(ihNaN);
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fNeg0 = reinterpret_cast<const _Float16&>(ihNeg0);
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} else
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#endif
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if (is_float) {
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const uint32_t ifInf = 0x7F800000;
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const uint32_t ifNegInf = 0xFF800000;
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const uint32_t ifNaN = 0x7F800001;
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const uint32_t ifNeg0 = 0x80000000;
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fInf = reinterpret_cast<const float&>(ifInf);
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fNegInf = reinterpret_cast<const float&>(ifNegInf);
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fNaN = reinterpret_cast<const float&>(ifNaN);
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fNeg0 = reinterpret_cast<const float&>(ifNeg0);
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}
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if (x == 0) {
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return 0;
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}
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uint32_t sign = x >> 7;
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uint32_t mantissa = x & ((1 << wm) - 1);
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int exponent = (x & 0x7F) >> wm;
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if (negative_zero_nan) {
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if (x == 0x80) {
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return fNaN;
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}
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} else {
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if (x == 0x80) {
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return fNeg0;
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}
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if (exponent == ((1 << we) - 1)) {
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return (mantissa == 0) ? (sign ? fNegInf : fInf) : fNaN;
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}
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}
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typename std::conditional<sizeof(T) == 2, uint16_t, uint32_t>::type retval;
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if (we == 5 && is_half && !negative_zero_nan) {
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retval = x << 8;
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return reinterpret_cast<const T&>(retval);
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}
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const int exp_low_cutoff = (1 << (weo - 1)) - (1 << (we - 1)) + 1 - (negative_zero_nan ? 1 : 0);
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// subnormal input
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if (exponent == 0) {
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// guaranteed mantissa!=0 since cases 0x0 and 0x80 are handled above
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int sh = 1 + clz(mantissa) - (32 - wm);
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mantissa <<= sh;
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exponent += 1 - sh;
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mantissa &= ((1 << wm) - 1);
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}
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exponent += exp_low_cutoff - 1;
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mantissa <<= wmo - wm;
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// subnormal output (occurs when T=half, we=5, negative_zero_nan=true)
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if (exponent <= 0) {
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mantissa |= 1 << wmo;
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mantissa >>= 1 - exponent;
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exponent = 0;
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}
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if (sizeof(T) == 2) {
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retval = (sign << 15) | (exponent << 10) | mantissa;
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} else {
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retval = (sign << 31) | (exponent << 23) | mantissa;
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}
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return reinterpret_cast<const T&>(retval);
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}
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} // namespace hip_fp8_impl
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