It's not a seven-headed beast. It's not rocket science.Cassio Neri Fast conversion from floating-point numbers CppCon 2024 - Aurora (Independent Researcher)MeMe O Neri's equationMe O Neri's equation fixed-point representation 23. 410 x 23. 4 1 Decimal floating-point representation (a) mantissa biased exponent10 x 23. 4 1 Decimal floating-point representation (a) mantissa 0 0 0 0 0 0 2 3 4 0 0 biased exponent10 x 23. 4 1 Decimal floating-point representation (a) mantissa 0 0 0 0 0 0 2 3 4 0 0 0 . , , , biased exponent10 x 23. 4 1 Decimal floating-point representation (a) exponent 0 mantissa's

refactoring, reviews Dmytro Ivanchykhin 🇺🇦 di@6it.dev Implementing fixed- point math with floating-point fallback Mykhailo Borovyk 🇺🇦 mbo@6it.dev Implementing support for RISC-V, including Algorithm Correctness_/30 8 ❌ On Algorithm Correctness_/30 9 ❌ Mathematically 1 Fixed-Point 2 Floating-Point 3 ✅ ✅ ❌ There are algorithms, which are: Can be usually made solid - but only within compiler flags 4 Making 3rd-party libs deterministic is a MAJOR effortP3375: Reproducible floating-point results Spearheaded by Guy Davidson 1 Our C++ Standard/WG21 Proposal_ Proposed: std::strict_float

Function args RISC-V calling convention and five optional extensions: 8 RV32M; 11 RV32A; 34 floating-point instructions each for 32- and 64-bit data (RV32F, RV32D); and 53 RV32V. Using regex notation and FADD.D. RV32{F|D} adds registers f0-f31, whose width matches the widest precision, and a floating-point control and status register fcsr. RV32V adds vector registers v0-v31, vector predicate registers 11, RVF 6, RVD 6, and RVV 0. AMOMINU.D rd,rs1,rs2 AMOMAXU.D rd,rs1,rs2 Two Optional Floating-Point Instruction Extensions: RVF & RVD +RV64{F|D} Calling Convention REMUW rd,rs1,rs2

fruitSummary = "I have \(apples + oranges) pieces of fruit." E X P E R I M E N T Use \() to include a floating-point calculation in a string and to include someone’s name in a greeting. Create arrays and dictionaries "Square": [1, 4, 9, 16, 25], 5 ] 6 var largest = 0 7 for (kind, numbers) in interestingNumbers { 8 for number in numbers { 9 if number > largest { 10 largest = number 11 number of arguments, collecting them into an array. 1 func sumOf(numbers: Int...) -> Int { 2 var sum = 0 3 for number in numbers { 4 sum += number 5 } 6 return sum 7 } 8 sumOf()

8 4 Integers and Floating-Point Numbers 9 4.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.2 Floating-Point Numbers . . . . . . . . . . . . 29 6 Complex and Rational Numbers 33 6.1 Complex Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 6.2 Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 34.23Treat Subnormal Numbers as Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 34.24@code_warntype

8 4 Integers and Floating-Point Numbers 9 4.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.2 Floating-Point Numbers . . . . . . . . . . . . 29 6 Complex and Rational Numbers 33 6.1 Complex Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 6.2 Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 34.23Treat Subnormal Numbers as Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 34.24@code_warntype

8 4 Integers and Floating-Point Numbers 9 4.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.2 Floating-Point Numbers . . . . . . . . . . . . 29 6 Complex and Rational Numbers 33 6.1 Complex Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 6.2 Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 34.23Treat Subnormal Numbers as Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 34.24@code_warntype

8 4 Integers and Floating-Point Numbers 9 4.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.2 Floating-Point Numbers . . . . . . . . . . . . 29 6 Complex and Rational Numbers 33 6.1 Complex Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 6.2 Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 34.23Treat Subnormal Numbers as Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 34.24@code_warntype

8 4 Integers and Floating-Point Numbers 9 4.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.2 Floating-Point Numbers . . . . . . . . . . . . 29 6 Complex and Rational Numbers 33 6.1 Complex Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 6.2 Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 34.23Treat Subnormal Numbers as Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 34.24@code_warntype

8 4 Integers and Floating-Point Numbers 9 4.1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.2 Floating-Point Numbers . . . . . . . . . . . . 29 6 Complex and Rational Numbers 33 6.1 Complex Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 6.2 Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 34.23Treat Subnormal Numbers as Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 34.24@code_warntype