Division

In mathematics, division (÷) is an arithmetic elementary operation.

Multiplying

This is one of the four elementary, mathematical operations of arithmetic; with the others being addition, subtraction and division.

Step reciprocal quaternion

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"Division dividing a quaternion named p by a quaternion named q is nothing from question Quaternion division and hyperbolic tangent tanh |

"I suppose one minor thing you can do unless you re already doing it is that in the 3rd step multiplying by the reciprocal of the sum instead of dividing by the sum;division from question Implementing matrix vector multiplication in assembly |

"Division of quaternion a by quaternion b is nothing from question Quaternions' adding, subtracting and division operations on 3d models |

"Use the product computed in the previous step multiplying it by the number entering the window and divide by the number exiting the window;division from question I want to replace BigInteger for loop in Stream Api |

Decimal multiplication floor

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"Using a division is a lot from question Create sine lookup table in C++ "Essentially you will and up with multiplying m with a number between 0 up to but not including 1 and finally we are taking the floor of the result of that to get an integer. this is from question What is the motivation behind the procedure for multiplication method for hashing? |

"This explains why you are not seeing multiplication as faster than division when timing with instead let s write setup code which performs multiplication and division on random numbers yields on my machine multiplying from question Is multiplying really faster than dividing? |

"According to agner s instruction tables a single fp division is from question Why is fp division op slower than reciprocal op plus multiply op "I presume that you know that using a division is a lot from question Create sine lookup table in C++ "Sure that s probably compiled or jit d away but you should avoid division in performance critical code it s far from question Any ideas on how to optimize this code? I cant seem to come up with anything that works |

"These can be compared to multiplying by 2 x left-shift or divinding by 2 x right-shift but it should be noted that a binary shift is much from question Bitwise operator x >> 1 and x >> 0 |

"If your magnitude of your numbers will be roughly within the range 1e+ -12 start by finding the smallest power of ten which is smaller than your number multiplying that by 100 000 multiplying your number by that round to the nearest unit and divide by that power of ten;because division from question Java: convert float to double preserving decimal point precision |

"Also 64-bit multiplying was slightly slower on some cpus and 64-bit division from question A 64-bit number does not fit in the register in x86_64 mode |

"But determining the digit and the carry by division is from question Algorithm slowness for Project Euler #20 |

Minor enhancements basic

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"Note that i ve incorporated dshin s comment that multiplying is from question How to speed up a C++ sparse matrix manipulation? |

"There could be a few minor enhancements to be made such as multiplying by 0.5 instead of dividing by 2.0 as division from question Calculate target angle based on two 3D Vectors? |

Others

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The value of i from question Why does GCC use multiplication by a strange number in implementing integer division? |

Repeated add sub is normally a terrible way to multiplying divide but you want to loop that many times anyway so you use that as the loop counter;this is called a strength reduction optimization because division from question Assembly language making a for loop that runs n/10 times |

Perhaps it s the case that division is from question Why is fp division op slower than reciprocal op plus multiply op |

This would change a multiplying and three divisions into four multiplies and one division;division from question Decrease in instructions retired after loop Unrolling |

But in normal case it takes n 2 comparison so you half the height of tree but you multiplying each merge with two so total running time is not from question Time complexity using N way Merge While working with integer division it s from question How to return result of a SELECT inside a function in PostgreSQL? |

Think of the hardware involved and you ll understand a lot better why it takes so much longer to divide than multiplying;both operations are done down at the floating point unit fpu level and even in the world of integral alus the division from question Why is float division slow? |

You can reason directly by multiplying one side of the inequality by the unity h x h x and then multiplying through by h x;but i thought canceling by division from question Result of multiplying both sides of not-big-O relationship by the same function? |

I read about python following pemdas that is precedence of multiplying is from question Operator precedence in Python -PEMDAS |