By De Cicco V., Fusco N., Verde A.
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Additional resources for A chain rule formula in BV and application to lower semicontinuity
Typically, we design the highest-level routines first. This approach leads to conceptually correct solutions with a minimum of effort. In Forth, words must be compiled before they can be referenced. Thus, a listing begins with the most primitive definitions and ends with the highest-level words. If the higher-level words are entered first, lower-level routines are added above them in the listing. Introduction 27 Forth Programmer’s Handbook Figure 6 shows a complete listing of the washing machine example.
Two-fetch” Core @ ( a-addr — x ) Replace a-addr with the contents of the cell at a-addr. “fetch” Core C! ( b c-addr — ) Core Store the low-order byte of the second stack item at c-addr, removing both from the stack. “C-store” C+! ( b c-addr — ) common usage Add the low-order byte of the second stack item to the byte at c-addr, removing both from the stack. “C-plus store” C@ ( c-addr — b ) Core Replace c-addr with the contents of the byte at c-addr. The byte fetched is stored in the low-order byte of the top stack item, with the remaining bits cleared to zero.
Used in M*/. “T-slash” UM/MOD ( ud u1 — u2 u3 ) Core Divide ud by u1, leaving remainder u2 and quotient u3. This operation is called UM/MOD because it assumes the arguments are unsigned, and it produces unsigned results. Compare with SM/REM and FM/MOD. “U-M-slash-mod” Core Double common usage Forth Fundamentals 43 Forth Programmer’s Handbook ( u1 u2 — ud ) Core Multiply u1 by u2, leaving the double-precision result ud. All values and arithmetic are unsigned. 2 Logical and Relational Operations As in the case of arithmetic operations, Forth’s implementation of logical and relational operations optimizes speed and simplicity.