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e defined by the user to best fit his source language. FLOATING POINT SUBROUTINES A set of subroutines are provided with the PDP-3 to perform floating point arithmetic. In these, the PDP-3 36 bit word is divided to form a 27 bit mantissa, a, and 9 bit exponent, b. Numbers, thus, appear in the form: k = ax2^b where, a, is considered to be in fractional form in the range 1/2 <= a < 1, and b is an integer, 0 <= b < 29. This gives number, k, the range 10^{-76} < k < 10^{+76}. The subroutines are called with one operand in the accumulator. After the subroutine has been executed, the accumulator contains the answer. Thus floating point numbers are essentially handled as regular logical works. The format of the number allows magnitude comparisons to be made by conventional arithmetic as bit 0 is the sign of the number, bits 1 to 9 the exponent, and the remaining 26 bits, together with the sign bit, the mantissa in ones complement arithmetic. The arithmetic subroutines are: add, subtract, multiply, divide, convert a floating point number to binary, convert a binary number to a floating number. Additional routines form: [square root of x], e^x, ln x, sine(~pi~/2)x, cos(~pi~/2)x, tan^{-1}x. There are also programs to convert between floating decimal numbers and PDP-3 floating numbers. Routines which require two operands, e.g., add, subtract, multiply and divide, require an index register to specify the address of the second operand. An index register also specifies parameters in data conversions, e.g., the position of the binary point when converting a binary number to a standard floating number. Using the floating point subroutines, additional routines may be written which handle complex floating numbers and vector and matrix algebra. MAINTENANCE ROUTINES Maintenance Routines are used exclusively to check the operation of the machine. These routines are operated while varying the bias supply voltages, and thus a check is made on possible degradation of all components which would affect the operation of the machine. MISCELLANEOUS ROUTINES A variety of additional programs are provided with PDP-3. One of the more important programs is the Typewriter Interrogator Program (TIP). TIP allows the typewriter to be used most effectively as an input-output link by which programs and data are examined and modified. The features include request for printing of a series of registers, interrogation and modification
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