HEIDENHAIN TNC 410 - Manual (Page 233)

10 Programming: Q Parameters 220
Mathematical function Soft key
Arc sine
Inverse of the sine. Determine the angle
from the ratio of the opposite side to the hypotenuse.
Example: Q10 = ASIN 0.75
Arc cosine
Inverse of the cosine. Determine the angle
from the ratio of the adjacent side to the hypotenuse.
Example: Q11 = ACOS Q40
Arc tangent
Inverse of the tangent. Determine the angle
from the ratio of the opposite to the adjacent side.
Example: Q12 = ATAN Q50
Powers
Example: Q15 = 3^3
Constant ”pi” (3.14159)
e.g. Q15 = PI
Natural logarithm (LN) of a number
Base 2.7183
Example: Q15 = LN Q11
Logarithm of a number, base 10
Example: Q33 = LOG Q22
Exponential function, 2.7183 n
Example: Q1 = EXP Q12
Negate (multiplication by -1)
Example: Q2 = NEG Q1
Drop places after the decimal point
(form an integer)
Example: Q3 = INT Q42
Absolute value
Example: Q4 = ABS Q22
Drop places before the decimal point
(form a fraction)
Example: Q5 = FRAC Q23
1
0.8 Ent
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Mathematical function Soft key
Check the sign of a number
e.g. Q12 = SGN Q50
If result for Q12 = 1: Q50 >= 0
If result for Q12 = -1: Q50 < 0
Rules for formulas
Mathematical formulas are programmed according
to the following rules:
n Higher-level operations are performed first
(multiplication and division before addition and
subtraction)
12 Q1 = 5 * 3 + 2 * 10 = 35
1st step: 5 * 3 = 15
2nd step: 2 * 10 = 20
3rd step: 15 + 20 = 35
13 Q2 = SQ 10 – 3^3 = 73
1st step: 10 2 = 100
2nd step: 3 3 = 27
3rd step: 100 – 27 = 73
n Distributive law
for calculating with parentheses
a * (b + c) = a * b + a * c