// Copyright 2020 The Tint Authors. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. #include "src/writer/float_to_string.h" #include #include #include #include #include #include "src/debug.h" namespace tint { namespace writer { std::string FloatToString(float f) { std::stringstream ss; ss.flags(ss.flags() | std::ios_base::showpoint | std::ios_base::fixed); ss.precision(std::numeric_limits::max_digits10); ss << f; auto str = ss.str(); while (str.length() >= 2 && str[str.size() - 1] == '0' && str[str.size() - 2] != '.') { str.pop_back(); } return str; } std::string FloatToBitPreservingString(float f) { // For the NaN case, avoid handling the number as a floating point value. // Some machines will modify the top bit in the mantissa of a NaN. std::stringstream ss; uint32_t float_bits = 0u; std::memcpy(&float_bits, &f, sizeof(float_bits)); // Handle the sign. const uint32_t kSignMask = 1u << 31; if (float_bits & kSignMask) { // If `f` is -0.0 print -0.0. ss << '-'; // Strip sign bit. float_bits = float_bits & (~kSignMask); } switch (std::fpclassify(f)) { case FP_ZERO: case FP_NORMAL: std::memcpy(&f, &float_bits, sizeof(float_bits)); ss << FloatToString(f); break; default: { // Infinity, NaN, and Subnormal // TODO(dneto): It's unclear how Infinity and NaN should be handled. // See https://github.com/gpuweb/gpuweb/issues/1769 // std::hexfloat prints 'nan' and 'inf' instead of an // explicit representation like we want. Split it out // manually. const int kExponentBias = 127; const int kExponentMask = 0x7f800000; const int kMantissaMask = 0x007fffff; const int kMantissaBits = 23; int mantissaNibbles = (kMantissaBits + 3) / 4; const int biased_exponent = static_cast((float_bits & kExponentMask) >> kMantissaBits); int exponent = biased_exponent - kExponentBias; uint32_t mantissa = float_bits & kMantissaMask; ss << "0x"; if (exponent == 128) { if (mantissa == 0) { // Infinity case. ss << "1p+128"; } else { // NaN case. // Emit the mantissa bits as if they are left-justified after the // binary point. This is what SPIRV-Tools hex float emitter does, // and it's a justifiable choice independent of the bit width // of the mantissa. mantissa <<= (4 - (kMantissaBits % 4)); // Remove trailing zeroes, for tidyness. while (0 == (0xf & mantissa)) { mantissa >>= 4; mantissaNibbles--; } ss << "1." << std::hex << std::setfill('0') << std::setw(mantissaNibbles) << mantissa << "p+128"; } } else { // Subnormal, and not zero. TINT_ASSERT(mantissa != 0); const int kTopBit = (1 << kMantissaBits); // Shift left until we get 1.x while (0 == (kTopBit & mantissa)) { mantissa <<= 1; exponent--; } // Emit the leading 1, and remove it from the mantissa. ss << "1"; mantissa = mantissa ^ kTopBit; mantissa <<= 1; exponent++; // Emit the fractional part. if (mantissa) { // Remove trailing zeroes, for tidyness while (0 == (0xf & mantissa)) { mantissa >>= 4; mantissaNibbles--; } ss << "." << std::hex << std::setfill('0') << std::setw(mantissaNibbles) << mantissa; } // Emit the exponent ss << "p" << std::showpos << std::dec << exponent; } } } return ss.str(); } } // namespace writer } // namespace tint