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Float-array

Float-array->components

Get the components field from a float-array.

Signature
(float-array->components x) → components
Arguments: x — Guard (float-arrayp x).
Returns: components — Type (float-value-listp components).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: float-array->components$inline

(defun float-array->components$inline (x)
 (declare (xargs :guard (float-arrayp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'float-array->components))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b* ((x (and t x))
        (components (float-value-list-fix (std::da-nth 0 (cdr x)))))
     (if (< (len components) (expt 2 31))
         components
       nil))
   :exec (std::da-nth 0 (cdr x)))))

Theorem: float-value-listp-of-float-array->components

(defthm float-value-listp-of-float-array->components
  (b* ((components (float-array->components$inline x)))
    (float-value-listp components))
  :rule-classes :rewrite)

Theorem: float-array->components$inline-of-float-array-fix-x

(defthm float-array->components$inline-of-float-array-fix-x
  (equal (float-array->components$inline (float-array-fix x))
         (float-array->components$inline x)))

Theorem: float-array->components$inline-float-array-equiv-congruence-on-x

(defthm
   float-array->components$inline-float-array-equiv-congruence-on-x
  (implies (float-array-equiv x x-equiv)
           (equal (float-array->components$inline x)
                  (float-array->components$inline x-equiv)))
  :rule-classes :congruence)