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• Read-bytes$

Read-32sbe

(read-32sbe channel state) reads a 32-bit, signed, big-endian value from the input channel.

Definitions and Theorems

Function: read-32sbe

(defun read-32sbe (channel state)
  (declare (xargs :guard (and (state-p state)
                              (symbolp channel)
                              (open-input-channel-p channel
                                                    :byte state))))
  (b* (((mv x1 state)
        (read-byte$ channel state))
       ((mv x2 state)
        (read-byte$ channel state))
       ((mv x3 state)
        (read-byte$ channel state))
       ((mv x4 state)
        (read-byte$ channel state))
       ((unless x1) (mv nil state))
       ((unless x4) (mv 'fail state)))
    (mv (combine32s x1 x2 x3 x4) state)))

Theorem: read-32sbe-signed-byte

(defthm read-32sbe-signed-byte
  (implies (and (force (state-p1 state))
                (force (open-input-channel-p1 channel
                                              :byte state))
                (force (symbolp channel))
                (mv-nth 0 (read-32sbe channel state))
                (not (equal (mv-nth 0 (read-32sbe channel state))
                            'fail)))
           (signed-byte-p 32
                          (mv-nth 0 (read-32sbe channel state)))))

Theorem: read-32sbe-integer

(defthm read-32sbe-integer
  (implies (and (mv-nth 0 (read-32sbe channel state))
                (not (equal (mv-nth 0 (read-32sbe channel state))
                            'fail)))
           (integerp (mv-nth 0 (read-32sbe channel state)))))

Theorem: read-32sbe-range

(defthm read-32sbe-range
  (implies (and (force (state-p1 state))
                (force (open-input-channel-p1 channel
                                              :byte state))
                (force (symbolp channel))
                (mv-nth 0 (read-32sbe channel state))
                (not (equal (mv-nth 0 (read-32sbe channel state))
                            'fail)))
           (and (<= -2147483648
                    (mv-nth 0 (read-32sbe channel state)))
                (<= (- (expt 2 31))
                    (mv-nth 0 (read-32sbe channel state)))
                (< (mv-nth 0 (read-32sbe channel state))
                   2147483648)
                (< (mv-nth 0 (read-32sbe channel state))
                   (expt 2 31))))
  :rule-classes :linear)

Theorem: read-32sbe-state

(defthm read-32sbe-state
  (implies (and (force (state-p1 state))
                (force (open-input-channel-p1 channel
                                              :byte state))
                (force (symbolp channel)))
           (state-p1 (mv-nth 1 (read-32sbe channel state)))))

Theorem: read-32sbe-open-input-channel-p1

(defthm read-32sbe-open-input-channel-p1
  (implies (and (force (state-p1 state))
                (force (open-input-channel-p1 channel
                                              :byte state))
                (force (symbolp channel)))
           (open-input-channel-p1
                channel
                :byte (mv-nth 1 (read-32sbe channel state)))))