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• Floating-point-converts

Sse-cvt-sp-to-dp

Signature

(sse-cvt-sp-to-dp op mxcsr) → (mv * * *)

Definitions and Theorems

Function: sse-cvt-sp-to-dp

(defun sse-cvt-sp-to-dp (op mxcsr)
  (declare (type (unsigned-byte 32) op)
           (type (unsigned-byte 32) mxcsr))
  (let ((__function__ 'sse-cvt-sp-to-dp))
    (declare (ignorable __function__))
    (b* (((mv flg result mxcsr)
          (sse-cvt-fp1-to-fp2 op mxcsr 8 23 11 52))
         (result (n64 result)))
      (mv flg result mxcsr))))

Theorem: n64p-result-sse-cvt-sp-to-dp

(defthm n64p-result-sse-cvt-sp-to-dp
 (unsigned-byte-p 64
                  (mv-nth 1 (sse-cvt-sp-to-dp op mxcsr)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (sse-cvt-sp-to-dp op mxcsr)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0
                       (mv-nth 1 (sse-cvt-sp-to-dp op mxcsr)))
                   (< (mv-nth 1 (sse-cvt-sp-to-dp op mxcsr))
                      18446744073709551616))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: n32p-mxcsr-sse-cvt-sp-to-dp

(defthm n32p-mxcsr-sse-cvt-sp-to-dp
 (unsigned-byte-p 32
                  (mv-nth 2 (sse-cvt-sp-to-dp op mxcsr)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 2 (sse-cvt-sp-to-dp op mxcsr)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0
                       (mv-nth 2 (sse-cvt-sp-to-dp op mxcsr)))
                   (< (mv-nth 2 (sse-cvt-sp-to-dp op mxcsr))
                      4294967296))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))