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Although the calculation x = y + z and x * x is loop-invariant, precautions must be taken before moving the code outside the loop. It is possible that the loop condition is false (for example, if n holds a negative value), and in such case, the loop body should not be executed at all.
In the prologue, push r4 to r11 to the stack, and push the return address in r14 to the stack (this can be done with a single STM instruction); Copy any passed arguments (in r0 to r3) to the local scratch registers (r4 to r11); Allocate other local variables to the remaining local scratch registers (r4 to r11);
Because the next-line predictor is so inaccurate, and the branch resolution recurrence takes so long, both cores have two-cycle secondary branch predictors that can override the prediction of the next-line predictor at the cost of a single lost fetch cycle. The Intel Core i7 has two branch target buffers and possibly two or more branch ...
Register allocation can happen over a basic block of code: it is said to be "local", and was first mentioned by Horwitz et al. [14] As basic blocks do not contain branches, the allocation process is thought to be fast, because the management of control-flow graph merge points in register allocation reveals itself [clarification needed] a time ...
This branching strategy chooses the variable with the fractional part closest to 0.5. Pseudo cost branching The basic idea of this strategy is to keep track for each variable the change in the objective function when this variable was previously chosen as the variable to branch on. The strategy then chooses the variable that is predicted to ...
A branch of the logarithm is a continuous function L(z) giving a logarithm of z for all z in a connected open set in the complex plane. In particular, a branch of the logarithm exists in the complement of any ray from the origin to infinity: a branch cut. A common choice of branch cut is the negative real axis, although the choice is largely a ...
The following is the skeleton of a generic branch and bound algorithm for minimizing an arbitrary objective function f. [3] To obtain an actual algorithm from this, one requires a bounding function bound, that computes lower bounds of f on nodes of the search tree, as well as a problem-specific branching rule.
Let : be a smooth map of smooth manifolds. Given , the differential of at is a linear map : from the tangent space of at to the tangent space of at (). The image of a tangent vector under is sometimes called the pushforward of by .